16.089 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.165 * * * [progress]: [2/2] Setting up program. 0.167 * [progress]: [Phase 2 of 3] Improving. 0.167 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.167 * [simplify]: Simplifying: (/ (- 1 (cos x)) (* x x)) 0.167 * * [simplify]: iteration 1: (6 enodes) 0.169 * * [simplify]: iteration 2: (15 enodes) 0.172 * * [simplify]: iteration 3: (23 enodes) 0.176 * * [simplify]: iteration 4: (28 enodes) 0.180 * * [simplify]: iteration 5: (30 enodes) 0.183 * * [simplify]: Extracting #0: cost 1 inf + 0 0.183 * * [simplify]: Extracting #1: cost 8 inf + 0 0.183 * * [simplify]: Extracting #2: cost 12 inf + 42 0.184 * * [simplify]: Extracting #3: cost 7 inf + 447 0.184 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.184 * [simplify]: Simplified to: (/ (- 1 (cos x)) (* x x)) 0.187 * * [progress]: iteration 1 / 4 0.187 * * * [progress]: picking best candidate 0.189 * * * * [pick]: Picked # 0.189 * * * [progress]: localizing error 0.200 * * * [progress]: generating rewritten candidates 0.200 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.220 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.233 * * * [progress]: generating series expansions 0.233 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.240 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2)) 0.240 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0 0.241 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.241 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.241 * [taylor]: Taking taylor expansion of 1 in x 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of (cos x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (- 1) into -1 0.244 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.245 * [backup-simplify]: Simplify (+ 0) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.247 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.247 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.248 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.248 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.248 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.248 * [taylor]: Taking taylor expansion of 1 in x 0.248 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of (cos x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (- 1) into -1 0.250 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.250 * [backup-simplify]: Simplify (+ 0) into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.252 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.262 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.264 * [backup-simplify]: Simplify 1/2 into 1/2 0.266 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.272 * [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 0.272 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.273 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.275 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.275 * [backup-simplify]: Simplify -1/24 into -1/24 0.278 * [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 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.285 * [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 0.285 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.285 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.287 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.287 * [backup-simplify]: Simplify 1/720 into 1/720 0.288 * [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))) 0.288 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.288 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 0.288 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.288 * [taylor]: Taking taylor expansion of 1 in x 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [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 0.289 * [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 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)) 0.290 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.290 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.290 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.290 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0 0.296 * [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 0) (* 0 1))))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.303 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.303 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.303 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.303 * [taylor]: Taking taylor expansion of 1 in x 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.303 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.303 * [taylor]: Taking taylor expansion of -1 in x 0.303 * [backup-simplify]: Simplify -1 into -1 0.303 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ -1 1) into -1 0.304 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.304 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.304 * [taylor]: Taking taylor expansion of 1 in x 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.304 * [taylor]: Taking taylor expansion of -1 in x 0.304 * [backup-simplify]: Simplify -1 into -1 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ -1 1) into -1 0.304 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.305 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.305 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.305 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.305 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.323 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.323 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.323 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.323 * [taylor]: Taking taylor expansion of (- 1 (cos 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 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 * [taylor]: Taking taylor expansion of (- 1 (cos 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 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 0.324 * [backup-simplify]: Simplify (- 1) into -1 0.324 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.324 * [backup-simplify]: Simplify 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 (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.327 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.327 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.327 * [backup-simplify]: Simplify 1/2 into 1/2 0.328 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 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 0.330 * [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 0.330 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.330 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.330 * [backup-simplify]: Simplify -1/24 into -1/24 0.331 * [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 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.335 * [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 0.335 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.335 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.335 * [backup-simplify]: Simplify 1/720 into 1/720 0.336 * [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))) 0.336 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.336 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.336 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.336 * [taylor]: Taking taylor expansion of 1 in x 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.336 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.336 * [taylor]: Taking taylor expansion of 1 in x 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.337 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.337 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.337 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.340 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.340 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.340 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.340 * [taylor]: Taking taylor expansion of 1 in x 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.340 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.340 * [taylor]: Taking taylor expansion of -1 in x 0.340 * [backup-simplify]: Simplify -1 into -1 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (/ -1 1) into -1 0.340 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.341 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.341 * [taylor]: Taking taylor expansion of 1 in x 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.341 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.341 * [taylor]: Taking taylor expansion of -1 in x 0.341 * [backup-simplify]: Simplify -1 into -1 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (/ -1 1) into -1 0.341 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.341 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.341 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.341 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.345 * * * [progress]: simplifying candidates 0.345 * * * * [progress]: [ 1 / 69 ] simplifiying candidate # 0.345 * * * * [progress]: [ 2 / 69 ] simplifiying candidate # 0.345 * * * * [progress]: [ 3 / 69 ] simplifiying candidate # 0.345 * * * * [progress]: [ 4 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 5 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 6 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 7 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 8 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 9 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 10 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 11 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 12 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 13 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 14 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 15 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 16 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 17 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 18 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 19 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 20 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 21 / 69 ] simplifiying candidate # 0.346 * * * * [progress]: [ 22 / 69 ] simplifiying candidate # 0.347 * * * * [progress]: [ 23 / 69 ] simplifiying candidate # 0.347 * * * * [progress]: [ 24 / 69 ] simplifiying candidate # 0.347 * * * * [progress]: [ 25 / 69 ] simplifiying candidate # 0.347 * * * * [progress]: [ 26 / 69 ] simplifiying candidate # 0.347 * * * * [progress]: [ 27 / 69 ] simplifiying candidate # 0.347 * * * * [progress]: [ 28 / 69 ] simplifiying candidate # 0.347 * * * * [progress]: [ 29 / 69 ] simplifiying candidate # 0.347 * * * * [progress]: [ 30 / 69 ] simplifiying candidate # 0.347 * * * * [progress]: [ 31 / 69 ] simplifiying candidate # 0.347 * * * * [progress]: [ 32 / 69 ] simplifiying candidate # 0.347 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.347 * * * * [progress]: [ 34 / 69 ] simplifiying candidate # 0.347 * * * * [progress]: [ 35 / 69 ] simplifiying candidate # 0.347 * * * * [progress]: [ 36 / 69 ] simplifiying candidate # 0.347 * * * * [progress]: [ 37 / 69 ] simplifiying candidate # 0.347 * * * * [progress]: [ 38 / 69 ] simplifiying candidate # 0.347 * * * * [progress]: [ 39 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 40 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 41 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 42 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 43 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 44 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 45 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 46 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 47 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 48 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 49 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 50 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 51 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 52 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 53 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 54 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 55 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 56 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 57 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 58 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 59 / 69 ] simplifiying candidate # 0.348 * * * * [progress]: [ 60 / 69 ] simplifiying candidate # 0.349 * * * * [progress]: [ 61 / 69 ] simplifiying candidate # 0.349 * * * * [progress]: [ 62 / 69 ] simplifiying candidate # 0.349 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.349 * * * * [progress]: [ 64 / 69 ] simplifiying candidate # 0.349 * * * * [progress]: [ 65 / 69 ] simplifiying candidate # 0.349 * * * * [progress]: [ 66 / 69 ] simplifiying candidate # 0.349 * * * * [progress]: [ 67 / 69 ] simplifiying candidate # 0.349 * * * * [progress]: [ 68 / 69 ] simplifiying candidate # 0.349 * * * * [progress]: [ 69 / 69 ] simplifiying candidate # 0.350 * [simplify]: Simplifying: (expm1 (/ (- 1 (cos x)) (* x x))) (log1p (/ (- 1 (cos x)) (* x x))) (- (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))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1) (sqrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos 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)) 0.351 * * [simplify]: iteration 1: (121 enodes) 0.403 * * [simplify]: iteration 2: (289 enodes) 0.498 * * [simplify]: iteration 3: (856 enodes) 1.849 * * [simplify]: Extracting #0: cost 47 inf + 0 1.850 * * [simplify]: Extracting #1: cost 293 inf + 0 1.853 * * [simplify]: Extracting #2: cost 532 inf + 11747 1.868 * * [simplify]: Extracting #3: cost 264 inf + 74438 1.898 * * [simplify]: Extracting #4: cost 23 inf + 124803 1.929 * * [simplify]: Extracting #5: cost 1 inf + 131341 1.978 * * [simplify]: Extracting #6: cost 0 inf + 131613 2.006 * [simplify]: Simplified to: (expm1 (/ (- 1 (cos x)) (* x x))) (log1p (/ (- 1 (cos x)) (* x x))) (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))) (/ x (cbrt (- 1 (cos 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 (/ (- 1 (cos x)) x)) (/ (- 1 (cos x)) x) (/ (* x x) (cbrt (- 1 (cos x)))) (/ (* x x) (sqrt (- 1 (cos x)))) (/ x (/ (- 1 (cos x)) x)) (/ (* x x) (- 1 (sqrt (cos x)))) (/ (* x x) (- 1 (sqrt (cos x)))) (/ x (/ (- 1 (cos x)) x)) (fma (fma (cos x) (cos x) (cos x)) (* x x) (* x x)) (* (fma x (cos x) x) x) (real->posit16 (/ (- 1 (cos x)) (* x x))) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ E (exp (cos x))) (log (- 1 (cos x))) (/ E (exp (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)))) (fma (cos x) (+ (cos x) 1) 1) (- (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))) (fma (* x x) -1/24 (fma (* 1/720 (* x x)) (* x x) 1/2)) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (fma (* x x) 1/2 (fma 1/720 (* (* (* x x) (* x x)) (* x x)) (* -1/24 (* (* x x) (* x x))))) (- 1 (cos x)) (- 1 (cos x)) 2.009 * * * [progress]: adding candidates to table 2.480 * * [progress]: iteration 2 / 4 2.480 * * * [progress]: picking best candidate 2.514 * * * * [pick]: Picked # 2.514 * * * [progress]: localizing error 2.539 * * * [progress]: generating rewritten candidates 2.539 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.572 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.578 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.589 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.608 * * * [progress]: generating series expansions 2.608 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.608 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 2.608 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 2.608 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 2.608 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.608 * [taylor]: Taking taylor expansion of (sin x) in x 2.608 * [taylor]: Taking taylor expansion of x in x 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 1 into 1 2.610 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.610 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 2.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.610 * [taylor]: Taking taylor expansion of x in x 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 1 into 1 2.610 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.610 * [taylor]: Taking taylor expansion of (cos x) in x 2.610 * [taylor]: Taking taylor expansion of x in x 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 1 into 1 2.610 * [taylor]: Taking taylor expansion of 1 in x 2.610 * [backup-simplify]: Simplify 1 into 1 2.610 * [backup-simplify]: Simplify (* 1 1) into 1 2.610 * [backup-simplify]: Simplify (* 1 1) into 1 2.611 * [backup-simplify]: Simplify (+ 1 1) into 2 2.611 * [backup-simplify]: Simplify (* 1 2) into 2 2.611 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.611 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 2.611 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.611 * [taylor]: Taking taylor expansion of (sin x) in x 2.611 * [taylor]: Taking taylor expansion of x in x 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 1 into 1 2.612 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.612 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 2.612 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.612 * [taylor]: Taking taylor expansion of x in x 2.612 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify 1 into 1 2.612 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.612 * [taylor]: Taking taylor expansion of (cos x) in x 2.612 * [taylor]: Taking taylor expansion of x in x 2.612 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify 1 into 1 2.612 * [taylor]: Taking taylor expansion of 1 in x 2.612 * [backup-simplify]: Simplify 1 into 1 2.612 * [backup-simplify]: Simplify (* 1 1) into 1 2.612 * [backup-simplify]: Simplify (* 1 1) into 1 2.613 * [backup-simplify]: Simplify (+ 1 1) into 2 2.613 * [backup-simplify]: Simplify (* 1 2) into 2 2.613 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.613 * [backup-simplify]: Simplify 1/2 into 1/2 2.614 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.614 * [backup-simplify]: Simplify (+ 0) into 0 2.614 * [backup-simplify]: Simplify (+ 0 0) into 0 2.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 2.616 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 2.616 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.617 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.618 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.618 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.620 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 2.620 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 2.620 * [backup-simplify]: Simplify -1/24 into -1/24 2.621 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.623 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.623 * [backup-simplify]: Simplify (+ 0 0) into 0 2.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 2.627 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 2.627 * [backup-simplify]: Simplify 0 into 0 2.631 * [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 2.633 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.636 * [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 2.636 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.639 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 2.642 * [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 2.642 * [backup-simplify]: Simplify 1/720 into 1/720 2.642 * [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))) 2.642 * [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)) 2.642 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 2.642 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 2.642 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 2.643 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.643 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.643 * [backup-simplify]: Simplify (/ 1 1) into 1 2.643 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.643 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.643 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.643 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.644 * [taylor]: Taking taylor expansion of x in x 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify 1 into 1 2.644 * [backup-simplify]: Simplify (/ 1 1) into 1 2.644 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.644 * [taylor]: Taking taylor expansion of 1 in x 2.644 * [backup-simplify]: Simplify 1 into 1 2.644 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.645 * [backup-simplify]: Simplify (* 1 1) into 1 2.645 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 2.645 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.645 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.645 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 2.645 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 2.645 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.645 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.645 * [taylor]: Taking taylor expansion of x in x 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 1 into 1 2.646 * [backup-simplify]: Simplify (/ 1 1) into 1 2.646 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.646 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.646 * [taylor]: Taking taylor expansion of x in x 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify 1 into 1 2.646 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.646 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.646 * [taylor]: Taking taylor expansion of x in x 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify 1 into 1 2.647 * [backup-simplify]: Simplify (/ 1 1) into 1 2.647 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.647 * [taylor]: Taking taylor expansion of 1 in x 2.647 * [backup-simplify]: Simplify 1 into 1 2.647 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.647 * [backup-simplify]: Simplify (* 1 1) into 1 2.648 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 2.648 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.648 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.648 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.649 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.650 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 2.650 * [backup-simplify]: Simplify (+ 0 0) into 0 2.651 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.651 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.652 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.653 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.653 * [backup-simplify]: Simplify (+ 0 0) into 0 2.654 * [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 2.654 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.656 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.657 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.658 * [backup-simplify]: Simplify (+ 0 0) into 0 2.659 * [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 2.659 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.662 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.663 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.664 * [backup-simplify]: Simplify (+ 0 0) into 0 2.664 * [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 2.665 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.669 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.670 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.670 * [backup-simplify]: Simplify (+ 0 0) into 0 2.671 * [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 2.671 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.675 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.676 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.677 * [backup-simplify]: Simplify (+ 0 0) into 0 2.677 * [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 2.677 * [backup-simplify]: Simplify 0 into 0 2.678 * [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))) 2.678 * [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)) 2.678 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 2.678 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 2.678 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 2.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.678 * [taylor]: Taking taylor expansion of x in x 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify 1 into 1 2.678 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.678 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.679 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.679 * [taylor]: Taking taylor expansion of -1 in x 2.679 * [backup-simplify]: Simplify -1 into -1 2.679 * [taylor]: Taking taylor expansion of x in x 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.679 * [backup-simplify]: Simplify (/ -1 1) into -1 2.679 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.679 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.679 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.679 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.679 * [taylor]: Taking taylor expansion of -1 in x 2.679 * [backup-simplify]: Simplify -1 into -1 2.679 * [taylor]: Taking taylor expansion of x in x 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.679 * [backup-simplify]: Simplify (/ -1 1) into -1 2.679 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.679 * [taylor]: Taking taylor expansion of 1 in x 2.679 * [backup-simplify]: Simplify 1 into 1 2.680 * [backup-simplify]: Simplify (* 1 1) into 1 2.680 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.680 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 2.680 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.680 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.680 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 2.680 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 2.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.680 * [taylor]: Taking taylor expansion of x in x 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.680 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.680 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.680 * [taylor]: Taking taylor expansion of -1 in x 2.680 * [backup-simplify]: Simplify -1 into -1 2.680 * [taylor]: Taking taylor expansion of x in x 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.681 * [backup-simplify]: Simplify (/ -1 1) into -1 2.681 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.681 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.681 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.681 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.681 * [taylor]: Taking taylor expansion of -1 in x 2.681 * [backup-simplify]: Simplify -1 into -1 2.681 * [taylor]: Taking taylor expansion of x in x 2.681 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify 1 into 1 2.681 * [backup-simplify]: Simplify (/ -1 1) into -1 2.681 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.681 * [taylor]: Taking taylor expansion of 1 in x 2.681 * [backup-simplify]: Simplify 1 into 1 2.681 * [backup-simplify]: Simplify (* 1 1) into 1 2.681 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.681 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 2.682 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.682 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.682 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.682 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 2.683 * [backup-simplify]: Simplify (+ 0 0) into 0 2.683 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.683 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 2.685 * [backup-simplify]: Simplify (+ 0 0) into 0 2.685 * [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 2.685 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 2.687 * [backup-simplify]: Simplify (+ 0 0) into 0 2.687 * [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 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 2.690 * [backup-simplify]: Simplify (+ 0 0) into 0 2.691 * [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 2.691 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 2.694 * [backup-simplify]: Simplify (+ 0 0) into 0 2.694 * [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 2.694 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 2.698 * [backup-simplify]: Simplify (+ 0 0) into 0 2.699 * [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 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [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))) 2.699 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.699 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 2.699 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 2.699 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.699 * [taylor]: Taking taylor expansion of (cos x) in x 2.699 * [taylor]: Taking taylor expansion of x in x 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 1 into 1 2.699 * [taylor]: Taking taylor expansion of 1 in x 2.699 * [backup-simplify]: Simplify 1 into 1 2.699 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.699 * [taylor]: Taking taylor expansion of (cos x) in x 2.699 * [taylor]: Taking taylor expansion of x in x 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 1 into 1 2.699 * [taylor]: Taking taylor expansion of 1 in x 2.699 * [backup-simplify]: Simplify 1 into 1 2.699 * [backup-simplify]: Simplify (+ 1 1) into 2 2.700 * [backup-simplify]: Simplify 2 into 2 2.700 * [backup-simplify]: Simplify (+ 0) into 0 2.700 * [backup-simplify]: Simplify (+ 0 0) into 0 2.700 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.701 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.701 * [backup-simplify]: Simplify -1/2 into -1/2 2.702 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.702 * [backup-simplify]: Simplify (+ 0 0) into 0 2.702 * [backup-simplify]: Simplify 0 into 0 2.703 * [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 2.704 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.704 * [backup-simplify]: Simplify 1/24 into 1/24 2.704 * [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))) 2.704 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 2.704 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 2.704 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.704 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.704 * [taylor]: Taking taylor expansion of x in x 2.704 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify 1 into 1 2.704 * [backup-simplify]: Simplify (/ 1 1) into 1 2.705 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.705 * [taylor]: Taking taylor expansion of 1 in x 2.705 * [backup-simplify]: Simplify 1 into 1 2.705 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.705 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.705 * [taylor]: Taking taylor expansion of x in x 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify 1 into 1 2.705 * [backup-simplify]: Simplify (/ 1 1) into 1 2.705 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.705 * [taylor]: Taking taylor expansion of 1 in x 2.705 * [backup-simplify]: Simplify 1 into 1 2.705 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.705 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.705 * [backup-simplify]: Simplify (+ 0 0) into 0 2.705 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify (+ 0 0) into 0 2.706 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify (+ 0 0) into 0 2.706 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify (+ 0 0) into 0 2.706 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify (+ 0 0) into 0 2.706 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify (+ 0 0) into 0 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 2.707 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 2.707 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 2.707 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.707 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.707 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.707 * [taylor]: Taking taylor expansion of -1 in x 2.707 * [backup-simplify]: Simplify -1 into -1 2.707 * [taylor]: Taking taylor expansion of x in x 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify 1 into 1 2.707 * [backup-simplify]: Simplify (/ -1 1) into -1 2.707 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.707 * [taylor]: Taking taylor expansion of 1 in x 2.707 * [backup-simplify]: Simplify 1 into 1 2.707 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.707 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.707 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.708 * [taylor]: Taking taylor expansion of -1 in x 2.708 * [backup-simplify]: Simplify -1 into -1 2.708 * [taylor]: Taking taylor expansion of x in x 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 1 into 1 2.708 * [backup-simplify]: Simplify (/ -1 1) into -1 2.708 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.708 * [taylor]: Taking taylor expansion of 1 in x 2.708 * [backup-simplify]: Simplify 1 into 1 2.708 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.708 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.708 * [backup-simplify]: Simplify (+ 0 0) into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify (+ 0 0) into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify (+ 0 0) into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify (+ 0 0) into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify (+ 0 0) into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify (+ 0 0) into 0 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 2.710 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.710 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 2.710 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 2.710 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.710 * [taylor]: Taking taylor expansion of (sin x) in x 2.710 * [taylor]: Taking taylor expansion of x in x 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.710 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.710 * [taylor]: Taking taylor expansion of (sin x) in x 2.710 * [taylor]: Taking taylor expansion of x in x 2.710 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.712 * [backup-simplify]: Simplify (* 1 1) into 1 2.712 * [backup-simplify]: Simplify 1 into 1 2.713 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.716 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.716 * [backup-simplify]: Simplify -1/3 into -1/3 2.718 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.720 * [backup-simplify]: Simplify 0 into 0 2.727 * [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 2.728 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.728 * [backup-simplify]: Simplify 2/45 into 2/45 2.728 * [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))) 2.729 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.729 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 2.729 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.729 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.729 * [taylor]: Taking taylor expansion of x in x 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (/ 1 1) into 1 2.729 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.729 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.729 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.729 * [taylor]: Taking taylor expansion of x in x 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (/ 1 1) into 1 2.729 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.730 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.730 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 2.730 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.730 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.732 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 2.734 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 2.734 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 2.734 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.734 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.734 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.734 * [taylor]: Taking taylor expansion of -1 in x 2.734 * [backup-simplify]: Simplify -1 into -1 2.734 * [taylor]: Taking taylor expansion of x in x 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.734 * [backup-simplify]: Simplify (/ -1 1) into -1 2.734 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.734 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.734 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.734 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.734 * [taylor]: Taking taylor expansion of -1 in x 2.734 * [backup-simplify]: Simplify -1 into -1 2.734 * [taylor]: Taking taylor expansion of x in x 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify (/ -1 1) into -1 2.735 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.735 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.735 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 2.735 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.735 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.736 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.737 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.738 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 2.739 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.739 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.739 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 2.739 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 2.739 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.739 * [taylor]: Taking taylor expansion of (sin x) in x 2.739 * [taylor]: Taking taylor expansion of x in x 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.740 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.740 * [taylor]: Taking taylor expansion of (cos x) in x 2.740 * [taylor]: Taking taylor expansion of x in x 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [taylor]: Taking taylor expansion of 1 in x 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (* 1 1) into 1 2.741 * [backup-simplify]: Simplify (+ 1 1) into 2 2.741 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.741 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 2.741 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.741 * [taylor]: Taking taylor expansion of (sin x) in x 2.741 * [taylor]: Taking taylor expansion of x in x 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.741 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.741 * [taylor]: Taking taylor expansion of (cos x) in x 2.741 * [taylor]: Taking taylor expansion of x in x 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [taylor]: Taking taylor expansion of 1 in x 2.741 * [backup-simplify]: Simplify 1 into 1 2.742 * [backup-simplify]: Simplify (* 1 1) into 1 2.742 * [backup-simplify]: Simplify (+ 1 1) into 2 2.742 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.742 * [backup-simplify]: Simplify 1/2 into 1/2 2.743 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.743 * [backup-simplify]: Simplify (+ 0) into 0 2.744 * [backup-simplify]: Simplify (+ 0 0) into 0 2.744 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.746 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.746 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.746 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.747 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 2.747 * [backup-simplify]: Simplify -1/24 into -1/24 2.748 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.750 * [backup-simplify]: Simplify (+ 0 0) into 0 2.751 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.752 * [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 2.753 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.755 * [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 2.756 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.758 * [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 2.758 * [backup-simplify]: Simplify 1/720 into 1/720 2.758 * [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))) 2.759 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.759 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 2.759 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 2.759 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.759 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.759 * [taylor]: Taking taylor expansion of x in x 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 1 into 1 2.759 * [backup-simplify]: Simplify (/ 1 1) into 1 2.759 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.759 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.759 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.759 * [taylor]: Taking taylor expansion of x in x 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 1 into 1 2.760 * [backup-simplify]: Simplify (/ 1 1) into 1 2.760 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.760 * [taylor]: Taking taylor expansion of 1 in x 2.760 * [backup-simplify]: Simplify 1 into 1 2.760 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.760 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.760 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.760 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 2.760 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.760 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.760 * [taylor]: Taking taylor expansion of x in x 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (/ 1 1) into 1 2.761 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.761 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.761 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.761 * [taylor]: Taking taylor expansion of x in x 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (/ 1 1) into 1 2.761 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.762 * [taylor]: Taking taylor expansion of 1 in x 2.762 * [backup-simplify]: Simplify 1 into 1 2.762 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.762 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.762 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.762 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.762 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.763 * [backup-simplify]: Simplify (+ 0 0) into 0 2.763 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.763 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.764 * [backup-simplify]: Simplify (+ 0 0) into 0 2.764 * [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 2.764 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.766 * [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 2.766 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.768 * [backup-simplify]: Simplify (+ 0 0) into 0 2.768 * [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 2.768 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.771 * [backup-simplify]: Simplify (+ 0 0) into 0 2.771 * [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 2.771 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.774 * [backup-simplify]: Simplify (+ 0 0) into 0 2.775 * [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 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.775 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.775 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 2.775 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 2.775 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.775 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.775 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.775 * [taylor]: Taking taylor expansion of -1 in x 2.775 * [backup-simplify]: Simplify -1 into -1 2.776 * [taylor]: Taking taylor expansion of x in x 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 1 into 1 2.776 * [backup-simplify]: Simplify (/ -1 1) into -1 2.776 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.776 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.776 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.776 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.776 * [taylor]: Taking taylor expansion of -1 in x 2.776 * [backup-simplify]: Simplify -1 into -1 2.776 * [taylor]: Taking taylor expansion of x in x 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 1 into 1 2.777 * [backup-simplify]: Simplify (/ -1 1) into -1 2.777 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.777 * [taylor]: Taking taylor expansion of 1 in x 2.777 * [backup-simplify]: Simplify 1 into 1 2.777 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.777 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.777 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.778 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 2.778 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.778 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.778 * [taylor]: Taking taylor expansion of -1 in x 2.778 * [backup-simplify]: Simplify -1 into -1 2.778 * [taylor]: Taking taylor expansion of x in x 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [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 (+ (cos (/ -1 x)) 1) in x 2.778 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.778 * [taylor]: Taking taylor expansion of -1 in x 2.778 * [backup-simplify]: Simplify -1 into -1 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 * [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) 2.779 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.779 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (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 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.780 * [backup-simplify]: Simplify (+ 0 0) into 0 2.781 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.782 * [backup-simplify]: Simplify (+ 0 0) into 0 2.782 * [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 2.782 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) 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))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) 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))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.786 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.788 * [backup-simplify]: Simplify (+ 0 0) into 0 2.789 * [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 2.789 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.792 * [backup-simplify]: Simplify (+ 0 0) into 0 2.793 * [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 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.793 * * * [progress]: simplifying candidates 2.794 * * * * [progress]: [ 1 / 138 ] simplifiying candidate # 2.794 * * * * [progress]: [ 2 / 138 ] simplifiying candidate # 2.794 * * * * [progress]: [ 3 / 138 ] simplifiying candidate # 2.794 * * * * [progress]: [ 4 / 138 ] simplifiying candidate # 2.794 * * * * [progress]: [ 5 / 138 ] simplifiying candidate # 2.794 * * * * [progress]: [ 6 / 138 ] simplifiying candidate # 2.794 * * * * [progress]: [ 7 / 138 ] simplifiying candidate # 2.794 * * * * [progress]: [ 8 / 138 ] simplifiying candidate # 2.794 * * * * [progress]: [ 9 / 138 ] simplifiying candidate # 2.794 * * * * [progress]: [ 10 / 138 ] simplifiying candidate # 2.794 * * * * [progress]: [ 11 / 138 ] simplifiying candidate # 2.794 * * * * [progress]: [ 12 / 138 ] simplifiying candidate # 2.794 * * * * [progress]: [ 13 / 138 ] simplifiying candidate # 2.795 * * * * [progress]: [ 14 / 138 ] simplifiying candidate # 2.795 * * * * [progress]: [ 15 / 138 ] simplifiying candidate # 2.795 * * * * [progress]: [ 16 / 138 ] simplifiying candidate # 2.795 * * * * [progress]: [ 17 / 138 ] simplifiying candidate # 2.795 * * * * [progress]: [ 18 / 138 ] simplifiying candidate # 2.795 * * * * [progress]: [ 19 / 138 ] simplifiying candidate # 2.795 * * * * [progress]: [ 20 / 138 ] simplifiying candidate # 2.795 * * * * [progress]: [ 21 / 138 ] simplifiying candidate # 2.795 * * * * [progress]: [ 22 / 138 ] simplifiying candidate # 2.795 * * * * [progress]: [ 23 / 138 ] simplifiying candidate # 2.795 * * * * [progress]: [ 24 / 138 ] simplifiying candidate # 2.795 * * * * [progress]: [ 25 / 138 ] simplifiying candidate # 2.795 * * * * [progress]: [ 26 / 138 ] simplifiying candidate # 2.796 * * * * [progress]: [ 27 / 138 ] simplifiying candidate # 2.796 * * * * [progress]: [ 28 / 138 ] simplifiying candidate # 2.796 * * * * [progress]: [ 29 / 138 ] simplifiying candidate # 2.796 * * * * [progress]: [ 30 / 138 ] simplifiying candidate # 2.796 * * * * [progress]: [ 31 / 138 ] simplifiying candidate # 2.796 * * * * [progress]: [ 32 / 138 ] simplifiying candidate # 2.796 * * * * [progress]: [ 33 / 138 ] simplifiying candidate # 2.796 * * * * [progress]: [ 34 / 138 ] simplifiying candidate # 2.796 * * * * [progress]: [ 35 / 138 ] simplifiying candidate # 2.796 * * * * [progress]: [ 36 / 138 ] simplifiying candidate # 2.796 * * * * [progress]: [ 37 / 138 ] simplifiying candidate # 2.796 * * * * [progress]: [ 38 / 138 ] simplifiying candidate # 2.796 * * * * [progress]: [ 39 / 138 ] simplifiying candidate # 2.796 * * * * [progress]: [ 40 / 138 ] simplifiying candidate # 2.797 * * * * [progress]: [ 41 / 138 ] simplifiying candidate # 2.797 * * * * [progress]: [ 42 / 138 ] simplifiying candidate # 2.797 * * * * [progress]: [ 43 / 138 ] simplifiying candidate # 2.797 * * * * [progress]: [ 44 / 138 ] simplifiying candidate # 2.797 * * * * [progress]: [ 45 / 138 ] simplifiying candidate # 2.797 * * * * [progress]: [ 46 / 138 ] simplifiying candidate # 2.797 * * * * [progress]: [ 47 / 138 ] simplifiying candidate # 2.797 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 2.797 * * * * [progress]: [ 49 / 138 ] simplifiying candidate # 2.797 * * * * [progress]: [ 50 / 138 ] simplifiying candidate # 2.797 * * * * [progress]: [ 51 / 138 ] simplifiying candidate # 2.797 * * * * [progress]: [ 52 / 138 ] simplifiying candidate # 2.797 * * * * [progress]: [ 53 / 138 ] simplifiying candidate # 2.797 * * * * [progress]: [ 54 / 138 ] simplifiying candidate # 2.797 * * * * [progress]: [ 55 / 138 ] simplifiying candidate # 2.798 * * * * [progress]: [ 56 / 138 ] simplifiying candidate # 2.798 * * * * [progress]: [ 57 / 138 ] simplifiying candidate # 2.798 * * * * [progress]: [ 58 / 138 ] simplifiying candidate # 2.798 * * * * [progress]: [ 59 / 138 ] simplifiying candidate # 2.798 * * * * [progress]: [ 60 / 138 ] simplifiying candidate # 2.798 * * * * [progress]: [ 61 / 138 ] simplifiying candidate # 2.798 * * * * [progress]: [ 62 / 138 ] simplifiying candidate # 2.798 * * * * [progress]: [ 63 / 138 ] simplifiying candidate # 2.798 * * * * [progress]: [ 64 / 138 ] simplifiying candidate # 2.798 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 2.798 * * * * [progress]: [ 66 / 138 ] simplifiying candidate # 2.798 * * * * [progress]: [ 67 / 138 ] simplifiying candidate # 2.798 * * * * [progress]: [ 68 / 138 ] simplifiying candidate # 2.798 * * * * [progress]: [ 69 / 138 ] simplifiying candidate # 2.798 * * * * [progress]: [ 70 / 138 ] simplifiying candidate # 2.798 * * * * [progress]: [ 71 / 138 ] simplifiying candidate # 2.798 * * * * [progress]: [ 72 / 138 ] simplifiying candidate # 2.799 * * * * [progress]: [ 73 / 138 ] simplifiying candidate # 2.799 * * * * [progress]: [ 74 / 138 ] simplifiying candidate # 2.799 * * * * [progress]: [ 75 / 138 ] simplifiying candidate # 2.799 * * * * [progress]: [ 76 / 138 ] simplifiying candidate # 2.799 * * * * [progress]: [ 77 / 138 ] simplifiying candidate # 2.799 * * * * [progress]: [ 78 / 138 ] simplifiying candidate # 2.799 * * * * [progress]: [ 79 / 138 ] simplifiying candidate # 2.799 * * * * [progress]: [ 80 / 138 ] simplifiying candidate # 2.799 * * * * [progress]: [ 81 / 138 ] simplifiying candidate # 2.799 * * * * [progress]: [ 82 / 138 ] simplifiying candidate # 2.799 * * * * [progress]: [ 83 / 138 ] simplifiying candidate # 2.799 * * * * [progress]: [ 84 / 138 ] simplifiying candidate # 2.799 * * * * [progress]: [ 85 / 138 ] simplifiying candidate # 2.799 * * * * [progress]: [ 86 / 138 ] simplifiying candidate # 2.799 * * * * [progress]: [ 87 / 138 ] simplifiying candidate # 2.799 * * * * [progress]: [ 88 / 138 ] simplifiying candidate # 2.800 * * * * [progress]: [ 89 / 138 ] simplifiying candidate # 2.800 * * * * [progress]: [ 90 / 138 ] simplifiying candidate # 2.800 * * * * [progress]: [ 91 / 138 ] simplifiying candidate # 2.800 * * * * [progress]: [ 92 / 138 ] simplifiying candidate # 2.800 * * * * [progress]: [ 93 / 138 ] simplifiying candidate # 2.800 * * * * [progress]: [ 94 / 138 ] simplifiying candidate # 2.800 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 2.800 * * * * [progress]: [ 96 / 138 ] simplifiying candidate # 2.800 * * * * [progress]: [ 97 / 138 ] simplifiying candidate # 2.800 * * * * [progress]: [ 98 / 138 ] simplifiying candidate # 2.800 * * * * [progress]: [ 99 / 138 ] simplifiying candidate # 2.800 * * * * [progress]: [ 100 / 138 ] simplifiying candidate # 2.800 * * * * [progress]: [ 101 / 138 ] simplifiying candidate # 2.800 * * * * [progress]: [ 102 / 138 ] simplifiying candidate # 2.800 * * * * [progress]: [ 103 / 138 ] simplifiying candidate # 2.800 * * * * [progress]: [ 104 / 138 ] simplifiying candidate # 2.800 * * * * [progress]: [ 105 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 106 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 107 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 108 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 109 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 110 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 111 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 112 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 113 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 114 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 115 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 116 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 117 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 118 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 119 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 120 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 121 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 122 / 138 ] simplifiying candidate # 2.801 * * * * [progress]: [ 123 / 138 ] simplifiying candidate # 2.802 * * * * [progress]: [ 124 / 138 ] simplifiying candidate # 2.802 * * * * [progress]: [ 125 / 138 ] simplifiying candidate # 2.802 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 2.802 * * * * [progress]: [ 127 / 138 ] simplifiying candidate # 2.802 * * * * [progress]: [ 128 / 138 ] simplifiying candidate # 2.802 * * * * [progress]: [ 129 / 138 ] simplifiying candidate # 2.802 * * * * [progress]: [ 130 / 138 ] simplifiying candidate # 2.802 * * * * [progress]: [ 131 / 138 ] simplifiying candidate # 2.802 * * * * [progress]: [ 132 / 138 ] simplifiying candidate # 2.802 * * * * [progress]: [ 133 / 138 ] simplifiying candidate # 2.802 * * * * [progress]: [ 134 / 138 ] simplifiying candidate # 2.802 * * * * [progress]: [ 135 / 138 ] simplifiying candidate # 2.802 * * * * [progress]: [ 136 / 138 ] simplifiying candidate # 2.802 * * * * [progress]: [ 137 / 138 ] simplifiying candidate # 2.802 * * * * [progress]: [ 138 / 138 ] simplifiying candidate # 2.804 * [simplify]: Simplifying: (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (- (+ (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 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(+ 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)) 2.805 * * [simplify]: iteration 1: (190 enodes) 2.857 * * [simplify]: iteration 2: (511 enodes) 3.102 * * [simplify]: iteration 3: (1856 enodes) 8.757 * * [simplify]: Extracting #0: cost 101 inf + 0 8.760 * * [simplify]: Extracting #1: cost 1237 inf + 2 8.774 * * [simplify]: Extracting #2: cost 2410 inf + 12992 8.833 * * [simplify]: Extracting #3: cost 1211 inf + 326841 9.428 * * [simplify]: Extracting #4: cost 99 inf + 665316 9.611 * * [simplify]: Extracting #5: cost 4 inf + 691565 9.827 * * [simplify]: Extracting #6: cost 0 inf + 692551 10.006 * * [simplify]: Extracting #7: cost 0 inf + 692546 10.165 * [simplify]: Simplified to: (expm1 (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (log1p (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (exp (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (* (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (* (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (* (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (* (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (* (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (* (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (* (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))))) (cbrt (/ (* (/ (sin 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(/ (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 (fma (cos x) (* (cos x) (cos x)) 1)) (/ (* (cos x) (cos x)) (fma (cos x) (* (cos x) (cos x)) 1))) 1 (fma 2 (cos x) 2) (real->posit16 (* (tan (/ x 2)) (sin x))) (fma (* x x) -1/24 (fma (* x x) (* 1/720 (* x x)) 1/2)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (fma (* x x) -1/2 (fma (* x x) (* (* x x) 1/24) 2)) (+ 1 (cos x)) (+ 1 (cos x)) (fma -1/3 (* (* x x) (* x x)) (fma 2/45 (* (* x x) (* (* x x) (* x x))) (* x x))) (* (sin x) (sin x)) (* (sin x) (sin x)) (fma -1/24 (* (* x x) (* x x)) (fma 1/720 (* (* x x) (* (* x x) (* x x))) (* (* x x) 1/2))) (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x)) 10.176 * * * [progress]: adding candidates to table 11.309 * * [progress]: iteration 3 / 4 11.309 * * * [progress]: picking best candidate 11.342 * * * * [pick]: Picked # 11.342 * * * [progress]: localizing error 11.377 * * * [progress]: generating rewritten candidates 11.377 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 11.389 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 11.405 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 11.436 * * * [progress]: generating series expansions 11.436 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 11.437 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 11.437 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 11.437 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 11.437 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 11.439 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 11.439 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 11.439 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 11.439 * [taylor]: Taking taylor expansion of 1/2 in x 11.439 * [backup-simplify]: Simplify 1/2 into 1/2 11.439 * [taylor]: Taking taylor expansion of x in x 11.439 * [backup-simplify]: Simplify 0 into 0 11.439 * [backup-simplify]: Simplify 1 into 1 11.439 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.440 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.440 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 11.440 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 11.440 * [taylor]: Taking taylor expansion of 1/2 in x 11.440 * [backup-simplify]: Simplify 1/2 into 1/2 11.440 * [taylor]: Taking taylor expansion of x in x 11.440 * [backup-simplify]: Simplify 0 into 0 11.440 * [backup-simplify]: Simplify 1 into 1 11.441 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.441 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.442 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 11.443 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.443 * [taylor]: Taking taylor expansion of x in x 11.443 * [backup-simplify]: Simplify 0 into 0 11.443 * [backup-simplify]: Simplify 1 into 1 11.443 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.443 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 11.443 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 11.443 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 11.443 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 11.443 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 11.443 * [taylor]: Taking taylor expansion of 1/2 in x 11.443 * [backup-simplify]: Simplify 1/2 into 1/2 11.443 * [taylor]: Taking taylor expansion of x in x 11.443 * [backup-simplify]: Simplify 0 into 0 11.443 * [backup-simplify]: Simplify 1 into 1 11.444 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.444 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.444 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 11.445 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 11.445 * [taylor]: Taking taylor expansion of 1/2 in x 11.445 * [backup-simplify]: Simplify 1/2 into 1/2 11.445 * [taylor]: Taking taylor expansion of x in x 11.445 * [backup-simplify]: Simplify 0 into 0 11.445 * [backup-simplify]: Simplify 1 into 1 11.445 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.446 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.452 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 11.453 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.453 * [taylor]: Taking taylor expansion of x in x 11.453 * [backup-simplify]: Simplify 0 into 0 11.453 * [backup-simplify]: Simplify 1 into 1 11.454 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.454 * [backup-simplify]: Simplify 1/2 into 1/2 11.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 11.455 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.456 * [backup-simplify]: Simplify (+ 0) into 0 11.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.458 * [backup-simplify]: Simplify 0 into 0 11.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.460 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 11.461 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 11.463 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 11.464 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 11.464 * [backup-simplify]: Simplify 1/24 into 1/24 11.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.467 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 11.468 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 11.469 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 11.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 11.472 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.477 * [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 11.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.481 * [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 11.483 * [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 11.485 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 11.485 * [backup-simplify]: Simplify 1/240 into 1/240 11.485 * [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)) 11.485 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 11.486 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 11.486 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 11.486 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 11.486 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 11.486 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 11.486 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 11.486 * [taylor]: Taking taylor expansion of 1/2 in x 11.486 * [backup-simplify]: Simplify 1/2 into 1/2 11.486 * [taylor]: Taking taylor expansion of x in x 11.486 * [backup-simplify]: Simplify 0 into 0 11.486 * [backup-simplify]: Simplify 1 into 1 11.486 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.486 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 11.486 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 11.486 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 11.487 * [taylor]: Taking taylor expansion of 1/2 in x 11.487 * [backup-simplify]: Simplify 1/2 into 1/2 11.487 * [taylor]: Taking taylor expansion of x in x 11.487 * [backup-simplify]: Simplify 0 into 0 11.487 * [backup-simplify]: Simplify 1 into 1 11.487 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.487 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 11.488 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 11.488 * [taylor]: Taking taylor expansion of x in x 11.488 * [backup-simplify]: Simplify 0 into 0 11.488 * [backup-simplify]: Simplify 1 into 1 11.488 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 11.488 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 11.488 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 11.488 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 11.488 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 11.488 * [taylor]: Taking taylor expansion of 1/2 in x 11.488 * [backup-simplify]: Simplify 1/2 into 1/2 11.488 * [taylor]: Taking taylor expansion of x in x 11.488 * [backup-simplify]: Simplify 0 into 0 11.488 * [backup-simplify]: Simplify 1 into 1 11.488 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.489 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 11.489 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 11.489 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 11.489 * [taylor]: Taking taylor expansion of 1/2 in x 11.489 * [backup-simplify]: Simplify 1/2 into 1/2 11.489 * [taylor]: Taking taylor expansion of x in x 11.489 * [backup-simplify]: Simplify 0 into 0 11.489 * [backup-simplify]: Simplify 1 into 1 11.489 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.489 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 11.489 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 11.489 * [taylor]: Taking taylor expansion of x in x 11.489 * [backup-simplify]: Simplify 0 into 0 11.489 * [backup-simplify]: Simplify 1 into 1 11.490 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 11.490 * [backup-simplify]: Simplify 0 into 0 11.490 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 11.491 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 11.491 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 11.491 * [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 11.492 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 11.492 * [backup-simplify]: Simplify 0 into 0 11.492 * [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 11.493 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.493 * [backup-simplify]: Simplify 0 into 0 11.494 * [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 11.495 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.495 * [backup-simplify]: Simplify 0 into 0 11.495 * [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 11.497 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.497 * [backup-simplify]: Simplify 0 into 0 11.497 * [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 11.499 * [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 11.499 * [backup-simplify]: Simplify 0 into 0 11.500 * [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 11.501 * [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 11.501 * [backup-simplify]: Simplify 0 into 0 11.501 * [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)) 11.502 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 11.502 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 11.502 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 11.502 * [taylor]: Taking taylor expansion of -1 in x 11.502 * [backup-simplify]: Simplify -1 into -1 11.502 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 11.502 * [taylor]: Taking taylor expansion of x in x 11.502 * [backup-simplify]: Simplify 0 into 0 11.502 * [backup-simplify]: Simplify 1 into 1 11.502 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 11.502 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 11.502 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 11.502 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 11.502 * [taylor]: Taking taylor expansion of -1/2 in x 11.502 * [backup-simplify]: Simplify -1/2 into -1/2 11.502 * [taylor]: Taking taylor expansion of x in x 11.502 * [backup-simplify]: Simplify 0 into 0 11.502 * [backup-simplify]: Simplify 1 into 1 11.502 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.503 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 11.503 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 11.503 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 11.503 * [taylor]: Taking taylor expansion of -1/2 in x 11.503 * [backup-simplify]: Simplify -1/2 into -1/2 11.503 * [taylor]: Taking taylor expansion of x in x 11.503 * [backup-simplify]: Simplify 0 into 0 11.503 * [backup-simplify]: Simplify 1 into 1 11.503 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.503 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 11.503 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 11.503 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 11.503 * [taylor]: Taking taylor expansion of -1 in x 11.503 * [backup-simplify]: Simplify -1 into -1 11.503 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 11.504 * [taylor]: Taking taylor expansion of x in x 11.504 * [backup-simplify]: Simplify 0 into 0 11.504 * [backup-simplify]: Simplify 1 into 1 11.504 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 11.504 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 11.504 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 11.504 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 11.504 * [taylor]: Taking taylor expansion of -1/2 in x 11.504 * [backup-simplify]: Simplify -1/2 into -1/2 11.504 * [taylor]: Taking taylor expansion of x in x 11.504 * [backup-simplify]: Simplify 0 into 0 11.504 * [backup-simplify]: Simplify 1 into 1 11.504 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.504 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 11.504 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 11.504 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 11.504 * [taylor]: Taking taylor expansion of -1/2 in x 11.504 * [backup-simplify]: Simplify -1/2 into -1/2 11.504 * [taylor]: Taking taylor expansion of x in x 11.504 * [backup-simplify]: Simplify 0 into 0 11.505 * [backup-simplify]: Simplify 1 into 1 11.505 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.505 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 11.505 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 11.505 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 11.506 * [backup-simplify]: Simplify (* -1 0) into 0 11.506 * [backup-simplify]: Simplify 0 into 0 11.506 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 11.507 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 11.507 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 11.507 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 11.508 * [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 11.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 11.509 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 11.509 * [backup-simplify]: Simplify 0 into 0 11.510 * [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 11.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 11.512 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 11.512 * [backup-simplify]: Simplify 0 into 0 11.512 * [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 11.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 11.514 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 11.514 * [backup-simplify]: Simplify 0 into 0 11.514 * [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 11.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 11.517 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 11.517 * [backup-simplify]: Simplify 0 into 0 11.517 * [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 11.518 * [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 11.520 * [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 11.520 * [backup-simplify]: Simplify 0 into 0 11.520 * [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 11.522 * [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 11.523 * [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 11.523 * [backup-simplify]: Simplify 0 into 0 11.524 * [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)) 11.524 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 11.524 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 11.524 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 11.524 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 11.524 * [taylor]: Taking taylor expansion of (sin x) in x 11.524 * [taylor]: Taking taylor expansion of x in x 11.524 * [backup-simplify]: Simplify 0 into 0 11.524 * [backup-simplify]: Simplify 1 into 1 11.524 * [taylor]: Taking taylor expansion of x in x 11.524 * [backup-simplify]: Simplify 0 into 0 11.524 * [backup-simplify]: Simplify 1 into 1 11.524 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 11.524 * [backup-simplify]: Simplify (/ 1 1) into 1 11.524 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 11.525 * [taylor]: Taking taylor expansion of (sin x) in x 11.525 * [taylor]: Taking taylor expansion of x in x 11.525 * [backup-simplify]: Simplify 0 into 0 11.525 * [backup-simplify]: Simplify 1 into 1 11.525 * [taylor]: Taking taylor expansion of x in x 11.525 * [backup-simplify]: Simplify 0 into 0 11.525 * [backup-simplify]: Simplify 1 into 1 11.525 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 11.525 * [backup-simplify]: Simplify (/ 1 1) into 1 11.525 * [backup-simplify]: Simplify 1 into 1 11.526 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 11.526 * [backup-simplify]: Simplify 0 into 0 11.527 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 11.528 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 11.528 * [backup-simplify]: Simplify -1/6 into -1/6 11.529 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 11.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 11.529 * [backup-simplify]: Simplify 0 into 0 11.531 * [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 11.532 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 11.532 * [backup-simplify]: Simplify 1/120 into 1/120 11.533 * [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))) 11.533 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 11.533 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 11.533 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 11.533 * [taylor]: Taking taylor expansion of x in x 11.533 * [backup-simplify]: Simplify 0 into 0 11.533 * [backup-simplify]: Simplify 1 into 1 11.533 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 11.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.533 * [taylor]: Taking taylor expansion of x in x 11.533 * [backup-simplify]: Simplify 0 into 0 11.533 * [backup-simplify]: Simplify 1 into 1 11.533 * [backup-simplify]: Simplify (/ 1 1) into 1 11.533 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 11.533 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 11.533 * [taylor]: Taking taylor expansion of x in x 11.533 * [backup-simplify]: Simplify 0 into 0 11.533 * [backup-simplify]: Simplify 1 into 1 11.533 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 11.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.533 * [taylor]: Taking taylor expansion of x in x 11.533 * [backup-simplify]: Simplify 0 into 0 11.533 * [backup-simplify]: Simplify 1 into 1 11.533 * [backup-simplify]: Simplify (/ 1 1) into 1 11.534 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 11.534 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 11.534 * [backup-simplify]: Simplify 0 into 0 11.534 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 11.534 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 11.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 11.535 * [backup-simplify]: Simplify 0 into 0 11.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 11.535 * [backup-simplify]: Simplify 0 into 0 11.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 11.536 * [backup-simplify]: Simplify 0 into 0 11.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 11.538 * [backup-simplify]: Simplify 0 into 0 11.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 11.539 * [backup-simplify]: Simplify 0 into 0 11.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 11.541 * [backup-simplify]: Simplify 0 into 0 11.541 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 11.541 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 11.541 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 11.541 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 11.541 * [taylor]: Taking taylor expansion of -1 in x 11.541 * [backup-simplify]: Simplify -1 into -1 11.541 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 11.541 * [taylor]: Taking taylor expansion of x in x 11.541 * [backup-simplify]: Simplify 0 into 0 11.541 * [backup-simplify]: Simplify 1 into 1 11.541 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 11.541 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.541 * [taylor]: Taking taylor expansion of -1 in x 11.541 * [backup-simplify]: Simplify -1 into -1 11.541 * [taylor]: Taking taylor expansion of x in x 11.541 * [backup-simplify]: Simplify 0 into 0 11.541 * [backup-simplify]: Simplify 1 into 1 11.541 * [backup-simplify]: Simplify (/ -1 1) into -1 11.541 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 11.541 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 11.541 * [taylor]: Taking taylor expansion of -1 in x 11.541 * [backup-simplify]: Simplify -1 into -1 11.541 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 11.541 * [taylor]: Taking taylor expansion of x in x 11.541 * [backup-simplify]: Simplify 0 into 0 11.541 * [backup-simplify]: Simplify 1 into 1 11.541 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 11.541 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.541 * [taylor]: Taking taylor expansion of -1 in x 11.541 * [backup-simplify]: Simplify -1 into -1 11.541 * [taylor]: Taking taylor expansion of x in x 11.541 * [backup-simplify]: Simplify 0 into 0 11.541 * [backup-simplify]: Simplify 1 into 1 11.542 * [backup-simplify]: Simplify (/ -1 1) into -1 11.542 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 11.542 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 11.542 * [backup-simplify]: Simplify (* -1 0) into 0 11.542 * [backup-simplify]: Simplify 0 into 0 11.542 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 11.543 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 11.543 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 11.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 11.544 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 11.544 * [backup-simplify]: Simplify 0 into 0 11.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 11.545 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 11.545 * [backup-simplify]: Simplify 0 into 0 11.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 11.548 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 11.548 * [backup-simplify]: Simplify 0 into 0 11.549 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 11.550 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 11.550 * [backup-simplify]: Simplify 0 into 0 11.552 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 11.553 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 11.553 * [backup-simplify]: Simplify 0 into 0 11.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 11.557 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 11.557 * [backup-simplify]: Simplify 0 into 0 11.557 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 11.557 * * * * [progress]: [ 3 / 3 ] generating series at (2) 11.558 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 11.558 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 11.558 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 11.558 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 11.558 * [taylor]: Taking taylor expansion of (sin x) in x 11.558 * [taylor]: Taking taylor expansion of x in x 11.558 * [backup-simplify]: Simplify 0 into 0 11.558 * [backup-simplify]: Simplify 1 into 1 11.558 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 11.558 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 11.558 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 11.558 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 11.558 * [taylor]: Taking taylor expansion of 1/2 in x 11.558 * [backup-simplify]: Simplify 1/2 into 1/2 11.558 * [taylor]: Taking taylor expansion of x in x 11.558 * [backup-simplify]: Simplify 0 into 0 11.558 * [backup-simplify]: Simplify 1 into 1 11.559 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.564 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.564 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 11.565 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 11.565 * [taylor]: Taking taylor expansion of 1/2 in x 11.565 * [backup-simplify]: Simplify 1/2 into 1/2 11.565 * [taylor]: Taking taylor expansion of x in x 11.565 * [backup-simplify]: Simplify 0 into 0 11.565 * [backup-simplify]: Simplify 1 into 1 11.565 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.566 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.567 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 11.567 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.567 * [taylor]: Taking taylor expansion of x in x 11.567 * [backup-simplify]: Simplify 0 into 0 11.568 * [backup-simplify]: Simplify 1 into 1 11.568 * [backup-simplify]: Simplify (* 0 1/2) into 0 11.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 11.570 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.570 * [backup-simplify]: Simplify (+ 0) into 0 11.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.571 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 11.572 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 11.573 * [backup-simplify]: Simplify (* 1 1) into 1 11.573 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.573 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 11.573 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 11.573 * [taylor]: Taking taylor expansion of (sin x) in x 11.573 * [taylor]: Taking taylor expansion of x in x 11.573 * [backup-simplify]: Simplify 0 into 0 11.573 * [backup-simplify]: Simplify 1 into 1 11.573 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 11.573 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 11.573 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 11.573 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 11.573 * [taylor]: Taking taylor expansion of 1/2 in x 11.573 * [backup-simplify]: Simplify 1/2 into 1/2 11.573 * [taylor]: Taking taylor expansion of x in x 11.573 * [backup-simplify]: Simplify 0 into 0 11.573 * [backup-simplify]: Simplify 1 into 1 11.574 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.575 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.575 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 11.575 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 11.575 * [taylor]: Taking taylor expansion of 1/2 in x 11.575 * [backup-simplify]: Simplify 1/2 into 1/2 11.575 * [taylor]: Taking taylor expansion of x in x 11.575 * [backup-simplify]: Simplify 0 into 0 11.575 * [backup-simplify]: Simplify 1 into 1 11.575 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.575 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.576 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 11.576 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.576 * [taylor]: Taking taylor expansion of x in x 11.576 * [backup-simplify]: Simplify 0 into 0 11.576 * [backup-simplify]: Simplify 1 into 1 11.576 * [backup-simplify]: Simplify (* 0 1/2) into 0 11.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 11.578 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.578 * [backup-simplify]: Simplify (+ 0) into 0 11.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.579 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 11.579 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 11.579 * [backup-simplify]: Simplify (* 1 1) into 1 11.580 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.580 * [backup-simplify]: Simplify 1/2 into 1/2 11.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.581 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 11.582 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 11.583 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 11.583 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.584 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 11.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.585 * [backup-simplify]: Simplify 0 into 0 11.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.586 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 11.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 11.588 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 11.589 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 11.590 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 11.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.591 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 11.591 * [backup-simplify]: Simplify -1/24 into -1/24 11.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.594 * [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 11.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.596 * [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 11.597 * [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 11.599 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 11.600 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 11.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 11.601 * [backup-simplify]: Simplify 0 into 0 11.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 11.604 * [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 11.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.607 * [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 11.609 * [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 11.612 * [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 11.614 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 11.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.617 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 11.617 * [backup-simplify]: Simplify 1/720 into 1/720 11.618 * [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))) 11.618 * [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)))) 11.618 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 11.618 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 11.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.618 * [taylor]: Taking taylor expansion of x in x 11.618 * [backup-simplify]: Simplify 0 into 0 11.618 * [backup-simplify]: Simplify 1 into 1 11.618 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 11.618 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 11.618 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 11.618 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 11.618 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 11.618 * [taylor]: Taking taylor expansion of 1/2 in x 11.618 * [backup-simplify]: Simplify 1/2 into 1/2 11.618 * [taylor]: Taking taylor expansion of x in x 11.618 * [backup-simplify]: Simplify 0 into 0 11.618 * [backup-simplify]: Simplify 1 into 1 11.619 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.619 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 11.619 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 11.619 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 11.619 * [taylor]: Taking taylor expansion of 1/2 in x 11.619 * [backup-simplify]: Simplify 1/2 into 1/2 11.619 * [taylor]: Taking taylor expansion of x in x 11.619 * [backup-simplify]: Simplify 0 into 0 11.619 * [backup-simplify]: Simplify 1 into 1 11.619 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.619 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 11.620 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 11.620 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 11.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.620 * [taylor]: Taking taylor expansion of x in x 11.620 * [backup-simplify]: Simplify 0 into 0 11.620 * [backup-simplify]: Simplify 1 into 1 11.620 * [backup-simplify]: Simplify (/ 1 1) into 1 11.620 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 11.620 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 11.620 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.620 * [taylor]: Taking taylor expansion of x in x 11.620 * [backup-simplify]: Simplify 0 into 0 11.620 * [backup-simplify]: Simplify 1 into 1 11.620 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 11.620 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 11.620 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 11.620 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 11.620 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 11.620 * [taylor]: Taking taylor expansion of 1/2 in x 11.620 * [backup-simplify]: Simplify 1/2 into 1/2 11.620 * [taylor]: Taking taylor expansion of x in x 11.620 * [backup-simplify]: Simplify 0 into 0 11.620 * [backup-simplify]: Simplify 1 into 1 11.621 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.621 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 11.621 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 11.621 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 11.621 * [taylor]: Taking taylor expansion of 1/2 in x 11.621 * [backup-simplify]: Simplify 1/2 into 1/2 11.621 * [taylor]: Taking taylor expansion of x in x 11.621 * [backup-simplify]: Simplify 0 into 0 11.621 * [backup-simplify]: Simplify 1 into 1 11.622 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.622 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 11.622 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 11.622 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 11.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.622 * [taylor]: Taking taylor expansion of x in x 11.622 * [backup-simplify]: Simplify 0 into 0 11.622 * [backup-simplify]: Simplify 1 into 1 11.622 * [backup-simplify]: Simplify (/ 1 1) into 1 11.622 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 11.623 * [backup-simplify]: Simplify (* 1 1) into 1 11.623 * [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))) 11.623 * [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))) 11.623 * [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))) 11.623 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 11.623 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 11.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 11.624 * [backup-simplify]: Simplify 0 into 0 11.624 * [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 11.625 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 11.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 11.626 * [backup-simplify]: Simplify 0 into 0 11.626 * [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 11.627 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 11.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 11.628 * [backup-simplify]: Simplify 0 into 0 11.629 * [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 11.629 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 11.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.631 * [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 11.631 * [backup-simplify]: Simplify 0 into 0 11.632 * [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 11.633 * [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 11.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.635 * [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 11.635 * [backup-simplify]: Simplify 0 into 0 11.635 * [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 11.636 * [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 11.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.639 * [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 11.639 * [backup-simplify]: Simplify 0 into 0 11.639 * [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))) 11.639 * [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)))) 11.639 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 11.639 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 11.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.639 * [taylor]: Taking taylor expansion of x in x 11.639 * [backup-simplify]: Simplify 0 into 0 11.639 * [backup-simplify]: Simplify 1 into 1 11.639 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 11.639 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 11.639 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 11.639 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 11.639 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 11.639 * [taylor]: Taking taylor expansion of -1/2 in x 11.639 * [backup-simplify]: Simplify -1/2 into -1/2 11.639 * [taylor]: Taking taylor expansion of x in x 11.640 * [backup-simplify]: Simplify 0 into 0 11.640 * [backup-simplify]: Simplify 1 into 1 11.640 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.640 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 11.640 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 11.640 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 11.640 * [taylor]: Taking taylor expansion of -1/2 in x 11.640 * [backup-simplify]: Simplify -1/2 into -1/2 11.640 * [taylor]: Taking taylor expansion of x in x 11.640 * [backup-simplify]: Simplify 0 into 0 11.640 * [backup-simplify]: Simplify 1 into 1 11.640 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.640 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 11.640 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 11.640 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 11.640 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.640 * [taylor]: Taking taylor expansion of -1 in x 11.640 * [backup-simplify]: Simplify -1 into -1 11.641 * [taylor]: Taking taylor expansion of x in x 11.641 * [backup-simplify]: Simplify 0 into 0 11.641 * [backup-simplify]: Simplify 1 into 1 11.641 * [backup-simplify]: Simplify (/ -1 1) into -1 11.641 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 11.641 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 11.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.641 * [taylor]: Taking taylor expansion of x in x 11.641 * [backup-simplify]: Simplify 0 into 0 11.641 * [backup-simplify]: Simplify 1 into 1 11.641 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 11.641 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 11.641 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 11.641 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 11.641 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 11.641 * [taylor]: Taking taylor expansion of -1/2 in x 11.641 * [backup-simplify]: Simplify -1/2 into -1/2 11.641 * [taylor]: Taking taylor expansion of x in x 11.641 * [backup-simplify]: Simplify 0 into 0 11.641 * [backup-simplify]: Simplify 1 into 1 11.641 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.641 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 11.641 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 11.642 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 11.642 * [taylor]: Taking taylor expansion of -1/2 in x 11.642 * [backup-simplify]: Simplify -1/2 into -1/2 11.642 * [taylor]: Taking taylor expansion of x in x 11.642 * [backup-simplify]: Simplify 0 into 0 11.642 * [backup-simplify]: Simplify 1 into 1 11.642 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.642 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 11.642 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 11.642 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 11.642 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.642 * [taylor]: Taking taylor expansion of -1 in x 11.642 * [backup-simplify]: Simplify -1 into -1 11.642 * [taylor]: Taking taylor expansion of x in x 11.642 * [backup-simplify]: Simplify 0 into 0 11.642 * [backup-simplify]: Simplify 1 into 1 11.642 * [backup-simplify]: Simplify (/ -1 1) into -1 11.642 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 11.643 * [backup-simplify]: Simplify (* 1 1) into 1 11.643 * [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))) 11.643 * [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))) 11.643 * [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))) 11.643 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 11.643 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 11.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 11.644 * [backup-simplify]: Simplify 0 into 0 11.644 * [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 11.645 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 11.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 11.647 * [backup-simplify]: Simplify 0 into 0 11.647 * [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 11.648 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 11.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 11.650 * [backup-simplify]: Simplify 0 into 0 11.650 * [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 11.651 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 11.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.652 * [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 11.652 * [backup-simplify]: Simplify 0 into 0 11.653 * [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 11.654 * [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 11.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.657 * [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 11.657 * [backup-simplify]: Simplify 0 into 0 11.657 * [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 11.659 * [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 11.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.668 * [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 11.669 * [backup-simplify]: Simplify 0 into 0 11.669 * [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))) 11.669 * * * [progress]: simplifying candidates 11.669 * * * * [progress]: [ 1 / 123 ] simplifiying candidate # 11.669 * * * * [progress]: [ 2 / 123 ] simplifiying candidate # 11.669 * * * * [progress]: [ 3 / 123 ] simplifiying candidate # 11.669 * * * * [progress]: [ 4 / 123 ] simplifiying candidate # 11.669 * * * * [progress]: [ 5 / 123 ] simplifiying candidate # 11.669 * * * * [progress]: [ 6 / 123 ] simplifiying candidate # 11.670 * * * * [progress]: [ 7 / 123 ] simplifiying candidate # 11.670 * * * * [progress]: [ 8 / 123 ] simplifiying candidate # 11.670 * * * * [progress]: [ 9 / 123 ] simplifiying candidate # 11.670 * * * * [progress]: [ 10 / 123 ] simplifiying candidate # 11.670 * * * * [progress]: [ 11 / 123 ] simplifiying candidate # 11.670 * * * * [progress]: [ 12 / 123 ] simplifiying candidate # 11.670 * * * * [progress]: [ 13 / 123 ] simplifiying candidate # 11.670 * * * * [progress]: [ 14 / 123 ] simplifiying candidate # 11.670 * * * * [progress]: [ 15 / 123 ] simplifiying candidate # 11.670 * * * * [progress]: [ 16 / 123 ] simplifiying candidate # 11.670 * * * * [progress]: [ 17 / 123 ] simplifiying candidate # 11.670 * * * * [progress]: [ 18 / 123 ] simplifiying candidate # 11.670 * * * * [progress]: [ 19 / 123 ] simplifiying candidate # 11.670 * * * * [progress]: [ 20 / 123 ] simplifiying candidate # 11.670 * * * * [progress]: [ 21 / 123 ] simplifiying candidate # 11.670 * * * * [progress]: [ 22 / 123 ] simplifiying candidate # 11.670 * * * * [progress]: [ 23 / 123 ] simplifiying candidate # 11.671 * * * * [progress]: [ 24 / 123 ] simplifiying candidate # 11.671 * * * * [progress]: [ 25 / 123 ] simplifiying candidate # 11.671 * * * * [progress]: [ 26 / 123 ] simplifiying candidate # 11.671 * * * * [progress]: [ 27 / 123 ] simplifiying candidate # 11.671 * * * * [progress]: [ 28 / 123 ] simplifiying candidate # 11.671 * * * * [progress]: [ 29 / 123 ] simplifiying candidate # 11.671 * * * * [progress]: [ 30 / 123 ] simplifiying candidate # 11.671 * * * * [progress]: [ 31 / 123 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))))> 11.671 * * * * [progress]: [ 32 / 123 ] simplifiying candidate # 11.671 * * * * [progress]: [ 33 / 123 ] simplifiying candidate # 11.671 * * * * [progress]: [ 34 / 123 ] simplifiying candidate # 11.671 * * * * [progress]: [ 35 / 123 ] simplifiying candidate # 11.671 * * * * [progress]: [ 36 / 123 ] simplifiying candidate # 11.671 * * * * [progress]: [ 37 / 123 ] simplifiying candidate # 11.671 * * * * [progress]: [ 38 / 123 ] simplifiying candidate # 11.671 * * * * [progress]: [ 39 / 123 ] simplifiying candidate # 11.671 * * * * [progress]: [ 40 / 123 ] simplifiying candidate # 11.672 * * * * [progress]: [ 41 / 123 ] simplifiying candidate # 11.672 * * * * [progress]: [ 42 / 123 ] simplifiying candidate # 11.672 * * * * [progress]: [ 43 / 123 ] simplifiying candidate # 11.672 * * * * [progress]: [ 44 / 123 ] simplifiying candidate # 11.672 * * * * [progress]: [ 45 / 123 ] simplifiying candidate # 11.672 * * * * [progress]: [ 46 / 123 ] simplifiying candidate # 11.672 * * * * [progress]: [ 47 / 123 ] simplifiying candidate # 11.672 * * * * [progress]: [ 48 / 123 ] simplifiying candidate # 11.672 * * * * [progress]: [ 49 / 123 ] simplifiying candidate # 11.672 * * * * [progress]: [ 50 / 123 ] simplifiying candidate # 11.672 * * * * [progress]: [ 51 / 123 ] simplifiying candidate # 11.672 * * * * [progress]: [ 52 / 123 ] simplifiying candidate # 11.672 * * * * [progress]: [ 53 / 123 ] simplifiying candidate # 11.672 * * * * [progress]: [ 54 / 123 ] simplifiying candidate # 11.672 * * * * [progress]: [ 55 / 123 ] simplifiying candidate # 11.672 * * * * [progress]: [ 56 / 123 ] simplifiying candidate # 11.673 * * * * [progress]: [ 57 / 123 ] simplifiying candidate # 11.673 * * * * [progress]: [ 58 / 123 ] simplifiying candidate # 11.673 * * * * [progress]: [ 59 / 123 ] simplifiying candidate # 11.673 * * * * [progress]: [ 60 / 123 ] simplifiying candidate # 11.673 * * * * [progress]: [ 61 / 123 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))> 11.673 * * * * [progress]: [ 62 / 123 ] simplifiying candidate # 11.673 * * * * [progress]: [ 63 / 123 ] simplifiying candidate # 11.673 * * * * [progress]: [ 64 / 123 ] simplifiying candidate # 11.673 * * * * [progress]: [ 65 / 123 ] simplifiying candidate # 11.673 * * * * [progress]: [ 66 / 123 ] simplifiying candidate # 11.673 * * * * [progress]: [ 67 / 123 ] simplifiying candidate # 11.673 * * * * [progress]: [ 68 / 123 ] simplifiying candidate # 11.673 * * * * [progress]: [ 69 / 123 ] simplifiying candidate # 11.673 * * * * [progress]: [ 70 / 123 ] simplifiying candidate # 11.673 * * * * [progress]: [ 71 / 123 ] simplifiying candidate # 11.673 * * * * [progress]: [ 72 / 123 ] simplifiying candidate # 11.673 * * * * [progress]: [ 73 / 123 ] simplifiying candidate # 11.673 * * * * [progress]: [ 74 / 123 ] simplifiying candidate # 11.674 * * * * [progress]: [ 75 / 123 ] simplifiying candidate # 11.674 * * * * [progress]: [ 76 / 123 ] simplifiying candidate # 11.674 * * * * [progress]: [ 77 / 123 ] simplifiying candidate # 11.674 * * * * [progress]: [ 78 / 123 ] simplifiying candidate # 11.674 * * * * [progress]: [ 79 / 123 ] simplifiying candidate # 11.674 * * * * [progress]: [ 80 / 123 ] simplifiying candidate # 11.674 * * * * [progress]: [ 81 / 123 ] simplifiying candidate # 11.674 * * * * [progress]: [ 82 / 123 ] simplifiying candidate # 11.674 * * * * [progress]: [ 83 / 123 ] simplifiying candidate # 11.674 * * * * [progress]: [ 84 / 123 ] simplifiying candidate # 11.674 * * * * [progress]: [ 85 / 123 ] simplifiying candidate # 11.674 * * * * [progress]: [ 86 / 123 ] simplifiying candidate # 11.674 * * * * [progress]: [ 87 / 123 ] simplifiying candidate # 11.674 * * * * [progress]: [ 88 / 123 ] simplifiying candidate # 11.674 * * * * [progress]: [ 89 / 123 ] simplifiying candidate # 11.675 * * * * [progress]: [ 90 / 123 ] simplifiying candidate # 11.675 * * * * [progress]: [ 91 / 123 ] simplifiying candidate # 11.675 * * * * [progress]: [ 92 / 123 ] simplifiying candidate # 11.675 * * * 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108 / 123 ] simplifiying candidate # 11.676 * * * * [progress]: [ 109 / 123 ] simplifiying candidate # 11.676 * * * * [progress]: [ 110 / 123 ] simplifiying candidate # 11.676 * * * * [progress]: [ 111 / 123 ] simplifiying candidate # 11.676 * * * * [progress]: [ 112 / 123 ] simplifiying candidate # 11.676 * * * * [progress]: [ 113 / 123 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))> 11.676 * * * * [progress]: [ 114 / 123 ] simplifiying candidate # 11.676 * * * * [progress]: [ 115 / 123 ] simplifiying candidate # 11.676 * * * * [progress]: [ 116 / 123 ] simplifiying candidate # 11.676 * * * * [progress]: [ 117 / 123 ] simplifiying candidate # 11.676 * * * * [progress]: [ 118 / 123 ] simplifiying candidate # 11.676 * * * * [progress]: [ 119 / 123 ] simplifiying candidate # 11.676 * * * * [progress]: [ 120 / 123 ] simplifiying candidate # 11.676 * * * * [progress]: [ 121 / 123 ] simplifiying candidate # 11.676 * * * * [progress]: [ 122 / 123 ] simplifiying candidate # 11.676 * * * * [progress]: [ 123 / 123 ] simplifiying candidate # 11.678 * [simplify]: Simplifying: (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (- (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)) (expm1 (/ (sin x) x)) (log1p (/ (sin x) 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)) (expm1 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log1p (* (/ (sin x) x) (/ (tan (/ x 2)) 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))) 11.681 * * [simplify]: iteration 1: (172 enodes) 11.718 * * [simplify]: iteration 2: (451 enodes) 11.955 * * [simplify]: iteration 3: (1662 enodes) 14.020 * * [simplify]: Extracting #0: cost 107 inf + 0 14.024 * * [simplify]: Extracting #1: cost 710 inf + 1 14.033 * * [simplify]: Extracting #2: cost 1289 inf + 5547 14.082 * * [simplify]: Extracting #3: cost 713 inf + 160762 14.190 * * [simplify]: Extracting #4: cost 79 inf + 361145 14.274 * * [simplify]: Extracting #5: cost 2 inf + 388056 14.357 * * [simplify]: Extracting #6: cost 0 inf + 388692 14.455 * [simplify]: Simplified to: (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (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))) (/ (sqrt x) (cbrt (tan (/ x 2))))) (/ (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))) (* (cos (/ x 2)) x) (real->posit16 (/ (tan (/ x 2)) x)) (expm1 (/ (sin x) x)) (log1p (/ (sin x) 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)) (expm1 (/ (sin x) (* (/ x (tan (/ x 2))) x))) (log1p (/ (sin x) (* (/ x (tan (/ x 2))) x))) (/ (sin x) (* (/ x (tan (/ x 2))) x)) (log (/ (sin x) (* (/ x (tan (/ x 2))) x))) (log (/ (sin x) (* (/ x (tan (/ x 2))) x))) (log (/ (sin x) (* (/ x (tan (/ x 2))) x))) (log (/ (sin x) (* (/ x (tan (/ x 2))) x))) (log (/ (sin x) (* (/ x (tan (/ x 2))) x))) (exp (/ (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))) (* (* (/ (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)) (/ (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))) (/ (sin x) (* (/ 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))) (* (tan (/ x 2)) (sin x)) (* 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) 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)))) (* (cbrt (/ (tan (/ x 2)) x)) (* (cbrt (/ (tan (/ x 2)) x)) (/ (sin x) x))) (* (sqrt (/ (tan (/ x 2)) x)) (/ (sin x) x)) (/ (/ (sin x) x) (* (/ (cbrt x) (cbrt (tan (/ x 2)))) (/ (cbrt x) (cbrt (tan (/ x 2)))))) (/ (* (* (/ (sin x) x) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))) (sqrt x)) (* (* (/ (sin x) x) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))) (/ (/ (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))))) (/ (/ (sin x) x) (* (cbrt x) (cbrt x))) (/ (sin x) (* x (sqrt x))) (/ (sin x) x) (/ (sin x) x) (/ (sin x) (/ x (tan (/ x 2)))) (* (/ (tan (/ x 2)) x) (cbrt (/ (sin x) x))) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (/ (cbrt (sin x)) (cbrt x))) (/ (* (cbrt (sin x)) (tan (/ x 2))) (* (sqrt x) x)) (/ (cbrt (sin x)) (* (/ x (tan (/ x 2))) x)) (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) (cbrt x))) (/ (sqrt (sin x)) (* (/ x (tan (/ x 2))) (sqrt x))) (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) x)) (/ (/ (sin x) (/ x (tan (/ x 2)))) (cbrt x)) (* (/ (sin x) (sqrt x)) (/ (tan (/ x 2)) x)) (/ (sin x) (* (/ x (tan (/ x 2))) x)) (/ (sin x) (* (/ x (tan (/ x 2))) x)) (/ (/ (tan (/ x 2)) x) x) (/ (sin x) (/ x (tan (/ x 2)))) (/ (sin x) (/ x (tan (/ x 2)))) (real->posit16 (/ (sin x) (* (/ x (tan (/ x 2))) x))) (fma (* x x) (* 1/240 (* x x)) (fma (* x x) 1/24 1/2)) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (fma -1/6 (* x x) (fma 1/120 (* (* x x) (* x x)) 1)) (/ (sin x) x) (/ (sin x) x) (fma (* x x) -1/24 (fma (* (* x x) (* x x)) 1/720 1/2)) (/ (/ (* (sin x) (sin (* 1/2 x))) (* x x)) (cos (* 1/2 x))) (/ (/ (* (sin x) (sin (* 1/2 x))) (* x x)) (cos (* 1/2 x))) 14.466 * * * [progress]: adding candidates to table 15.327 * * [progress]: iteration 4 / 4 15.327 * * * [progress]: picking best candidate 15.338 * * * * [pick]: Picked # 15.339 * * * [progress]: localizing error 15.371 * * * [progress]: generating rewritten candidates 15.371 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 15.403 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 15.411 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 15.426 * * * [progress]: generating series expansions 15.426 * * * * [progress]: [ 1 / 3 ] generating series at (2) 15.426 * [backup-simplify]: Simplify (* (sin x) (/ (/ (tan (/ x 2)) x) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 15.426 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 15.426 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 15.426 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 15.426 * [taylor]: Taking taylor expansion of (sin x) in x 15.426 * [taylor]: Taking taylor expansion of x in x 15.426 * [backup-simplify]: Simplify 0 into 0 15.426 * [backup-simplify]: Simplify 1 into 1 15.426 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 15.426 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 15.426 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 15.427 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 15.427 * [taylor]: Taking taylor expansion of 1/2 in x 15.427 * [backup-simplify]: Simplify 1/2 into 1/2 15.427 * [taylor]: Taking taylor expansion of x in x 15.427 * [backup-simplify]: Simplify 0 into 0 15.427 * [backup-simplify]: Simplify 1 into 1 15.427 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.428 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.428 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 15.428 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 15.428 * [taylor]: Taking taylor expansion of 1/2 in x 15.428 * [backup-simplify]: Simplify 1/2 into 1/2 15.428 * [taylor]: Taking taylor expansion of x in x 15.428 * [backup-simplify]: Simplify 0 into 0 15.428 * [backup-simplify]: Simplify 1 into 1 15.428 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.428 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.429 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 15.429 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 15.429 * [taylor]: Taking taylor expansion of x in x 15.429 * [backup-simplify]: Simplify 0 into 0 15.429 * [backup-simplify]: Simplify 1 into 1 15.429 * [backup-simplify]: Simplify (* 0 1/2) into 0 15.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.431 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.431 * [backup-simplify]: Simplify (+ 0) into 0 15.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.432 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 15.432 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 15.432 * [backup-simplify]: Simplify (* 1 1) into 1 15.433 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.433 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 15.433 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 15.433 * [taylor]: Taking taylor expansion of (sin x) in x 15.433 * [taylor]: Taking taylor expansion of x in x 15.433 * [backup-simplify]: Simplify 0 into 0 15.433 * [backup-simplify]: Simplify 1 into 1 15.433 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 15.433 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 15.433 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 15.433 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 15.433 * [taylor]: Taking taylor expansion of 1/2 in x 15.433 * [backup-simplify]: Simplify 1/2 into 1/2 15.433 * [taylor]: Taking taylor expansion of x in x 15.433 * [backup-simplify]: Simplify 0 into 0 15.433 * [backup-simplify]: Simplify 1 into 1 15.433 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.434 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.434 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 15.434 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 15.434 * [taylor]: Taking taylor expansion of 1/2 in x 15.434 * [backup-simplify]: Simplify 1/2 into 1/2 15.434 * [taylor]: Taking taylor expansion of x in x 15.434 * [backup-simplify]: Simplify 0 into 0 15.434 * [backup-simplify]: Simplify 1 into 1 15.434 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.434 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.435 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 15.435 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 15.435 * [taylor]: Taking taylor expansion of x in x 15.435 * [backup-simplify]: Simplify 0 into 0 15.435 * [backup-simplify]: Simplify 1 into 1 15.436 * [backup-simplify]: Simplify (* 0 1/2) into 0 15.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.437 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.437 * [backup-simplify]: Simplify (+ 0) into 0 15.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.438 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 15.438 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 15.438 * [backup-simplify]: Simplify (* 1 1) into 1 15.439 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.439 * [backup-simplify]: Simplify 1/2 into 1/2 15.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.441 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 15.441 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 15.442 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 15.442 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.443 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 15.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.444 * [backup-simplify]: Simplify 0 into 0 15.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.446 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 15.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.447 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 15.449 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 15.449 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 15.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.451 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 15.451 * [backup-simplify]: Simplify -1/24 into -1/24 15.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 15.453 * [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 15.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.456 * [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 15.457 * [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 15.458 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 15.459 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 15.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 15.460 * [backup-simplify]: Simplify 0 into 0 15.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 15.463 * [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 15.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.465 * [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 15.467 * [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 15.469 * [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 15.470 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 15.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.471 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 15.471 * [backup-simplify]: Simplify 1/720 into 1/720 15.471 * [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))) 15.472 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (/ (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) (/ 1 x))) into (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) 15.472 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in (x) around 0 15.472 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in x 15.472 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 15.472 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 15.472 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 15.472 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 15.472 * [taylor]: Taking taylor expansion of 1/2 in x 15.472 * [backup-simplify]: Simplify 1/2 into 1/2 15.472 * [taylor]: Taking taylor expansion of x in x 15.472 * [backup-simplify]: Simplify 0 into 0 15.472 * [backup-simplify]: Simplify 1 into 1 15.472 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.472 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 15.472 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 15.472 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 15.472 * [taylor]: Taking taylor expansion of 1/2 in x 15.472 * [backup-simplify]: Simplify 1/2 into 1/2 15.472 * [taylor]: Taking taylor expansion of x in x 15.472 * [backup-simplify]: Simplify 0 into 0 15.472 * [backup-simplify]: Simplify 1 into 1 15.473 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.473 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 15.473 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 15.473 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (pow x 2)) in x 15.473 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 15.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.473 * [taylor]: Taking taylor expansion of x in x 15.473 * [backup-simplify]: Simplify 0 into 0 15.473 * [backup-simplify]: Simplify 1 into 1 15.473 * [backup-simplify]: Simplify (/ 1 1) into 1 15.473 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 15.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 15.473 * [taylor]: Taking taylor expansion of x in x 15.473 * [backup-simplify]: Simplify 0 into 0 15.473 * [backup-simplify]: Simplify 1 into 1 15.473 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in x 15.473 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 15.473 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 15.473 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 15.473 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 15.473 * [taylor]: Taking taylor expansion of 1/2 in x 15.473 * [backup-simplify]: Simplify 1/2 into 1/2 15.473 * [taylor]: Taking taylor expansion of x in x 15.473 * [backup-simplify]: Simplify 0 into 0 15.473 * [backup-simplify]: Simplify 1 into 1 15.474 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.474 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 15.474 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 15.474 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 15.474 * [taylor]: Taking taylor expansion of 1/2 in x 15.474 * [backup-simplify]: Simplify 1/2 into 1/2 15.474 * [taylor]: Taking taylor expansion of x in x 15.474 * [backup-simplify]: Simplify 0 into 0 15.474 * [backup-simplify]: Simplify 1 into 1 15.474 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.474 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 15.474 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 15.474 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (pow x 2)) in x 15.474 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 15.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.474 * [taylor]: Taking taylor expansion of x in x 15.474 * [backup-simplify]: Simplify 0 into 0 15.474 * [backup-simplify]: Simplify 1 into 1 15.475 * [backup-simplify]: Simplify (/ 1 1) into 1 15.475 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 15.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 15.475 * [taylor]: Taking taylor expansion of x in x 15.475 * [backup-simplify]: Simplify 0 into 0 15.475 * [backup-simplify]: Simplify 1 into 1 15.475 * [backup-simplify]: Simplify (* 1 1) into 1 15.475 * [backup-simplify]: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) 15.475 * [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))) 15.475 * [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))) 15.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.476 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 15.476 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 15.476 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 15.476 * [backup-simplify]: Simplify 0 into 0 15.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.477 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 15.477 * [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 15.478 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 15.478 * [backup-simplify]: Simplify 0 into 0 15.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.479 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.479 * [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 15.480 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 15.480 * [backup-simplify]: Simplify 0 into 0 15.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.481 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.481 * [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 15.482 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 15.482 * [backup-simplify]: Simplify 0 into 0 15.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.484 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.484 * [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 15.486 * [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 15.486 * [backup-simplify]: Simplify 0 into 0 15.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.488 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.488 * [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 15.489 * [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 15.489 * [backup-simplify]: Simplify 0 into 0 15.490 * [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))) 15.490 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (/ (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) (/ 1 (- x)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) 15.490 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 15.490 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 15.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 15.490 * [taylor]: Taking taylor expansion of x in x 15.490 * [backup-simplify]: Simplify 0 into 0 15.490 * [backup-simplify]: Simplify 1 into 1 15.490 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 15.490 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 15.490 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 15.490 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 15.490 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 15.490 * [taylor]: Taking taylor expansion of -1/2 in x 15.490 * [backup-simplify]: Simplify -1/2 into -1/2 15.490 * [taylor]: Taking taylor expansion of x in x 15.490 * [backup-simplify]: Simplify 0 into 0 15.490 * [backup-simplify]: Simplify 1 into 1 15.490 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.491 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 15.491 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 15.491 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 15.491 * [taylor]: Taking taylor expansion of -1/2 in x 15.491 * [backup-simplify]: Simplify -1/2 into -1/2 15.491 * [taylor]: Taking taylor expansion of x in x 15.491 * [backup-simplify]: Simplify 0 into 0 15.491 * [backup-simplify]: Simplify 1 into 1 15.491 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.491 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 15.491 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 15.491 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 15.491 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.491 * [taylor]: Taking taylor expansion of -1 in x 15.491 * [backup-simplify]: Simplify -1 into -1 15.491 * [taylor]: Taking taylor expansion of x in x 15.491 * [backup-simplify]: Simplify 0 into 0 15.491 * [backup-simplify]: Simplify 1 into 1 15.491 * [backup-simplify]: Simplify (/ -1 1) into -1 15.491 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 15.491 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 15.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 15.492 * [taylor]: Taking taylor expansion of x in x 15.492 * [backup-simplify]: Simplify 0 into 0 15.492 * [backup-simplify]: Simplify 1 into 1 15.492 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 15.492 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 15.492 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 15.492 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 15.492 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 15.492 * [taylor]: Taking taylor expansion of -1/2 in x 15.492 * [backup-simplify]: Simplify -1/2 into -1/2 15.492 * [taylor]: Taking taylor expansion of x in x 15.492 * [backup-simplify]: Simplify 0 into 0 15.492 * [backup-simplify]: Simplify 1 into 1 15.492 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.492 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 15.492 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 15.492 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 15.492 * [taylor]: Taking taylor expansion of -1/2 in x 15.492 * [backup-simplify]: Simplify -1/2 into -1/2 15.492 * [taylor]: Taking taylor expansion of x in x 15.492 * [backup-simplify]: Simplify 0 into 0 15.492 * [backup-simplify]: Simplify 1 into 1 15.492 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.492 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 15.493 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 15.493 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 15.493 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.493 * [taylor]: Taking taylor expansion of -1 in x 15.493 * [backup-simplify]: Simplify -1 into -1 15.493 * [taylor]: Taking taylor expansion of x in x 15.493 * [backup-simplify]: Simplify 0 into 0 15.493 * [backup-simplify]: Simplify 1 into 1 15.493 * [backup-simplify]: Simplify (/ -1 1) into -1 15.493 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 15.493 * [backup-simplify]: Simplify (* 1 1) into 1 15.493 * [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))) 15.493 * [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))) 15.494 * [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))) 15.494 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 15.494 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 15.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 15.495 * [backup-simplify]: Simplify 0 into 0 15.495 * [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 15.495 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 15.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 15.496 * [backup-simplify]: Simplify 0 into 0 15.497 * [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 15.497 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 15.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 15.499 * [backup-simplify]: Simplify 0 into 0 15.499 * [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 15.500 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 15.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.501 * [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 15.501 * [backup-simplify]: Simplify 0 into 0 15.502 * [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 15.508 * [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 15.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.510 * [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 15.510 * [backup-simplify]: Simplify 0 into 0 15.510 * [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 15.512 * [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 15.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.514 * [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 15.514 * [backup-simplify]: Simplify 0 into 0 15.514 * [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))) 15.514 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 15.514 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 15.514 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 15.514 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 15.514 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 15.515 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 15.515 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 15.515 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 15.515 * [taylor]: Taking taylor expansion of 1/2 in x 15.515 * [backup-simplify]: Simplify 1/2 into 1/2 15.515 * [taylor]: Taking taylor expansion of x in x 15.515 * [backup-simplify]: Simplify 0 into 0 15.515 * [backup-simplify]: Simplify 1 into 1 15.515 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.515 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.515 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 15.515 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 15.515 * [taylor]: Taking taylor expansion of 1/2 in x 15.515 * [backup-simplify]: Simplify 1/2 into 1/2 15.515 * [taylor]: Taking taylor expansion of x in x 15.515 * [backup-simplify]: Simplify 0 into 0 15.515 * [backup-simplify]: Simplify 1 into 1 15.516 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.516 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.517 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 15.517 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.517 * [taylor]: Taking taylor expansion of x in x 15.517 * [backup-simplify]: Simplify 0 into 0 15.517 * [backup-simplify]: Simplify 1 into 1 15.517 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.517 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 15.517 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 15.517 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 15.517 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 15.517 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 15.517 * [taylor]: Taking taylor expansion of 1/2 in x 15.517 * [backup-simplify]: Simplify 1/2 into 1/2 15.517 * [taylor]: Taking taylor expansion of x in x 15.517 * [backup-simplify]: Simplify 0 into 0 15.517 * [backup-simplify]: Simplify 1 into 1 15.518 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.518 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.518 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 15.518 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 15.518 * [taylor]: Taking taylor expansion of 1/2 in x 15.518 * [backup-simplify]: Simplify 1/2 into 1/2 15.518 * [taylor]: Taking taylor expansion of x in x 15.518 * [backup-simplify]: Simplify 0 into 0 15.518 * [backup-simplify]: Simplify 1 into 1 15.519 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.519 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.520 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 15.520 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.520 * [taylor]: Taking taylor expansion of x in x 15.520 * [backup-simplify]: Simplify 0 into 0 15.520 * [backup-simplify]: Simplify 1 into 1 15.520 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.520 * [backup-simplify]: Simplify 1/2 into 1/2 15.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.522 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.522 * [backup-simplify]: Simplify (+ 0) into 0 15.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.523 * [backup-simplify]: Simplify 0 into 0 15.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.524 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 15.525 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 15.526 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 15.527 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 15.527 * [backup-simplify]: Simplify 1/24 into 1/24 15.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.529 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 15.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.531 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 15.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 15.533 * [backup-simplify]: Simplify 0 into 0 15.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 15.535 * [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 15.536 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.537 * [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 15.539 * [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 15.540 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 15.540 * [backup-simplify]: Simplify 1/240 into 1/240 15.540 * [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)) 15.540 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 15.540 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 15.540 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 15.540 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 15.540 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 15.540 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 15.540 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 15.540 * [taylor]: Taking taylor expansion of 1/2 in x 15.540 * [backup-simplify]: Simplify 1/2 into 1/2 15.540 * [taylor]: Taking taylor expansion of x in x 15.540 * [backup-simplify]: Simplify 0 into 0 15.540 * [backup-simplify]: Simplify 1 into 1 15.541 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.541 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 15.541 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 15.541 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 15.541 * [taylor]: Taking taylor expansion of 1/2 in x 15.541 * [backup-simplify]: Simplify 1/2 into 1/2 15.541 * [taylor]: Taking taylor expansion of x in x 15.541 * [backup-simplify]: Simplify 0 into 0 15.541 * [backup-simplify]: Simplify 1 into 1 15.541 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.541 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 15.541 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 15.541 * [taylor]: Taking taylor expansion of x in x 15.541 * [backup-simplify]: Simplify 0 into 0 15.541 * [backup-simplify]: Simplify 1 into 1 15.541 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 15.541 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 15.541 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 15.541 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 15.541 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 15.541 * [taylor]: Taking taylor expansion of 1/2 in x 15.541 * [backup-simplify]: Simplify 1/2 into 1/2 15.541 * [taylor]: Taking taylor expansion of x in x 15.541 * [backup-simplify]: Simplify 0 into 0 15.541 * [backup-simplify]: Simplify 1 into 1 15.542 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.542 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 15.542 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 15.542 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 15.542 * [taylor]: Taking taylor expansion of 1/2 in x 15.542 * [backup-simplify]: Simplify 1/2 into 1/2 15.542 * [taylor]: Taking taylor expansion of x in x 15.542 * [backup-simplify]: Simplify 0 into 0 15.542 * [backup-simplify]: Simplify 1 into 1 15.542 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.542 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 15.542 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 15.542 * [taylor]: Taking taylor expansion of x in x 15.542 * [backup-simplify]: Simplify 0 into 0 15.542 * [backup-simplify]: Simplify 1 into 1 15.542 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 15.542 * [backup-simplify]: Simplify 0 into 0 15.543 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 15.543 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 15.543 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 15.543 * [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 15.544 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 15.544 * [backup-simplify]: Simplify 0 into 0 15.544 * [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 15.544 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.544 * [backup-simplify]: Simplify 0 into 0 15.545 * [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 15.545 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.545 * [backup-simplify]: Simplify 0 into 0 15.546 * [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 15.546 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 15.546 * [backup-simplify]: Simplify 0 into 0 15.547 * [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 15.547 * [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 15.547 * [backup-simplify]: Simplify 0 into 0 15.548 * [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 15.549 * [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 15.549 * [backup-simplify]: Simplify 0 into 0 15.549 * [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)) 15.549 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 15.549 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 15.549 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 15.549 * [taylor]: Taking taylor expansion of -1 in x 15.549 * [backup-simplify]: Simplify -1 into -1 15.549 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 15.549 * [taylor]: Taking taylor expansion of x in x 15.549 * [backup-simplify]: Simplify 0 into 0 15.549 * [backup-simplify]: Simplify 1 into 1 15.549 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 15.549 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 15.549 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 15.549 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 15.549 * [taylor]: Taking taylor expansion of -1/2 in x 15.549 * [backup-simplify]: Simplify -1/2 into -1/2 15.549 * [taylor]: Taking taylor expansion of x in x 15.549 * [backup-simplify]: Simplify 0 into 0 15.549 * [backup-simplify]: Simplify 1 into 1 15.549 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.550 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 15.550 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 15.550 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 15.550 * [taylor]: Taking taylor expansion of -1/2 in x 15.550 * [backup-simplify]: Simplify -1/2 into -1/2 15.550 * [taylor]: Taking taylor expansion of x in x 15.550 * [backup-simplify]: Simplify 0 into 0 15.550 * [backup-simplify]: Simplify 1 into 1 15.550 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.550 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 15.550 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 15.550 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 15.550 * [taylor]: Taking taylor expansion of -1 in x 15.550 * [backup-simplify]: Simplify -1 into -1 15.550 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 15.550 * [taylor]: Taking taylor expansion of x in x 15.550 * [backup-simplify]: Simplify 0 into 0 15.550 * [backup-simplify]: Simplify 1 into 1 15.550 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 15.550 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 15.550 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 15.550 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 15.550 * [taylor]: Taking taylor expansion of -1/2 in x 15.550 * [backup-simplify]: Simplify -1/2 into -1/2 15.550 * [taylor]: Taking taylor expansion of x in x 15.550 * [backup-simplify]: Simplify 0 into 0 15.550 * [backup-simplify]: Simplify 1 into 1 15.551 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.551 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 15.551 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 15.551 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 15.551 * [taylor]: Taking taylor expansion of -1/2 in x 15.551 * [backup-simplify]: Simplify -1/2 into -1/2 15.551 * [taylor]: Taking taylor expansion of x in x 15.551 * [backup-simplify]: Simplify 0 into 0 15.551 * [backup-simplify]: Simplify 1 into 1 15.551 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.551 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 15.551 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 15.551 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 15.552 * [backup-simplify]: Simplify (* -1 0) into 0 15.552 * [backup-simplify]: Simplify 0 into 0 15.552 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 15.552 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 15.552 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 15.552 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 15.553 * [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 15.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 15.554 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 15.554 * [backup-simplify]: Simplify 0 into 0 15.554 * [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 15.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 15.556 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 15.556 * [backup-simplify]: Simplify 0 into 0 15.556 * [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 15.557 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 15.558 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 15.558 * [backup-simplify]: Simplify 0 into 0 15.558 * [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 15.559 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 15.561 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 15.561 * [backup-simplify]: Simplify 0 into 0 15.561 * [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 15.562 * [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 15.564 * [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 15.564 * [backup-simplify]: Simplify 0 into 0 15.564 * [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 15.566 * [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 15.567 * [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 15.567 * [backup-simplify]: Simplify 0 into 0 15.567 * [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)) 15.568 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 15.568 * [backup-simplify]: Simplify (/ (/ (tan (/ x 2)) x) x) into (/ (tan (* 1/2 x)) (pow x 2)) 15.568 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) (pow x 2)) in (x) around 0 15.568 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) (pow x 2)) in x 15.568 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 15.568 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 15.568 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 15.568 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 15.568 * [taylor]: Taking taylor expansion of 1/2 in x 15.568 * [backup-simplify]: Simplify 1/2 into 1/2 15.568 * [taylor]: Taking taylor expansion of x in x 15.568 * [backup-simplify]: Simplify 0 into 0 15.568 * [backup-simplify]: Simplify 1 into 1 15.568 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.569 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.569 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 15.569 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 15.569 * [taylor]: Taking taylor expansion of 1/2 in x 15.569 * [backup-simplify]: Simplify 1/2 into 1/2 15.569 * [taylor]: Taking taylor expansion of x in x 15.569 * [backup-simplify]: Simplify 0 into 0 15.569 * [backup-simplify]: Simplify 1 into 1 15.569 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.569 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.570 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 15.570 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 15.570 * [taylor]: Taking taylor expansion of x in x 15.570 * [backup-simplify]: Simplify 0 into 0 15.570 * [backup-simplify]: Simplify 1 into 1 15.570 * [backup-simplify]: Simplify (* 1 1) into 1 15.571 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.571 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) (pow x 2)) in x 15.571 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 15.571 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 15.571 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 15.571 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 15.571 * [taylor]: Taking taylor expansion of 1/2 in x 15.571 * [backup-simplify]: Simplify 1/2 into 1/2 15.571 * [taylor]: Taking taylor expansion of x in x 15.571 * [backup-simplify]: Simplify 0 into 0 15.571 * [backup-simplify]: Simplify 1 into 1 15.571 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.571 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.572 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 15.572 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 15.572 * [taylor]: Taking taylor expansion of 1/2 in x 15.572 * [backup-simplify]: Simplify 1/2 into 1/2 15.572 * [taylor]: Taking taylor expansion of x in x 15.572 * [backup-simplify]: Simplify 0 into 0 15.572 * [backup-simplify]: Simplify 1 into 1 15.572 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.572 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.573 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 15.573 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 15.573 * [taylor]: Taking taylor expansion of x in x 15.573 * [backup-simplify]: Simplify 0 into 0 15.573 * [backup-simplify]: Simplify 1 into 1 15.573 * [backup-simplify]: Simplify (* 1 1) into 1 15.574 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.574 * [backup-simplify]: Simplify 1/2 into 1/2 15.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.575 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.575 * [backup-simplify]: Simplify (+ 0) into 0 15.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.576 * [backup-simplify]: Simplify 0 into 0 15.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.578 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 15.578 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 15.579 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 15.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.580 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 15.580 * [backup-simplify]: Simplify 1/24 into 1/24 15.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.582 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 15.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.583 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 15.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 15.585 * [backup-simplify]: Simplify 0 into 0 15.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 15.588 * [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 15.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.594 * [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 15.595 * [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 15.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.597 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 15.597 * [backup-simplify]: Simplify 1/240 into 1/240 15.597 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 3)) (+ (* 1/24 x) (* 1/2 (/ 1 x)))) into (+ (* 1/24 x) (+ (* 1/240 (pow x 3)) (* 1/2 (/ 1 x)))) 15.597 * [backup-simplify]: Simplify (/ (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) (/ 1 x)) into (* (tan (/ 1/2 x)) (pow x 2)) 15.597 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) (pow x 2)) in (x) around 0 15.597 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (pow x 2)) in x 15.597 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 15.597 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 15.597 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 15.597 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 15.597 * [taylor]: Taking taylor expansion of 1/2 in x 15.597 * [backup-simplify]: Simplify 1/2 into 1/2 15.597 * [taylor]: Taking taylor expansion of x in x 15.597 * [backup-simplify]: Simplify 0 into 0 15.598 * [backup-simplify]: Simplify 1 into 1 15.598 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.598 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 15.598 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 15.598 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 15.598 * [taylor]: Taking taylor expansion of 1/2 in x 15.598 * [backup-simplify]: Simplify 1/2 into 1/2 15.598 * [taylor]: Taking taylor expansion of x in x 15.598 * [backup-simplify]: Simplify 0 into 0 15.598 * [backup-simplify]: Simplify 1 into 1 15.598 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.598 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 15.598 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 15.598 * [taylor]: Taking taylor expansion of (pow x 2) in x 15.598 * [taylor]: Taking taylor expansion of x in x 15.598 * [backup-simplify]: Simplify 0 into 0 15.598 * [backup-simplify]: Simplify 1 into 1 15.598 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (pow x 2)) in x 15.598 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 15.599 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 15.599 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 15.599 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 15.599 * [taylor]: Taking taylor expansion of 1/2 in x 15.599 * [backup-simplify]: Simplify 1/2 into 1/2 15.599 * [taylor]: Taking taylor expansion of x in x 15.599 * [backup-simplify]: Simplify 0 into 0 15.599 * [backup-simplify]: Simplify 1 into 1 15.599 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.599 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 15.599 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 15.599 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 15.599 * [taylor]: Taking taylor expansion of 1/2 in x 15.599 * [backup-simplify]: Simplify 1/2 into 1/2 15.599 * [taylor]: Taking taylor expansion of x in x 15.599 * [backup-simplify]: Simplify 0 into 0 15.599 * [backup-simplify]: Simplify 1 into 1 15.599 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.599 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 15.599 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 15.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 15.599 * [taylor]: Taking taylor expansion of x in x 15.600 * [backup-simplify]: Simplify 0 into 0 15.600 * [backup-simplify]: Simplify 1 into 1 15.600 * [backup-simplify]: Simplify (* 1 1) into 1 15.600 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 15.600 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 15.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.601 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 15.601 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 1)) into 0 15.601 * [backup-simplify]: Simplify 0 into 0 15.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.602 * [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 15.602 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 1))) into 0 15.602 * [backup-simplify]: Simplify 0 into 0 15.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.603 * [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 15.603 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.603 * [backup-simplify]: Simplify 0 into 0 15.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.604 * [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 15.605 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.605 * [backup-simplify]: Simplify 0 into 0 15.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.606 * [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 15.607 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.607 * [backup-simplify]: Simplify 0 into 0 15.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.608 * [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 15.609 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.609 * [backup-simplify]: Simplify 0 into 0 15.609 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) (pow x 2))) 15.609 * [backup-simplify]: Simplify (/ (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) (/ 1 (- x))) into (* (pow x 2) (tan (/ -1/2 x))) 15.609 * [approximate]: Taking taylor expansion of (* (pow x 2) (tan (/ -1/2 x))) in (x) around 0 15.609 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ -1/2 x))) in x 15.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 15.609 * [taylor]: Taking taylor expansion of x in x 15.609 * [backup-simplify]: Simplify 0 into 0 15.609 * [backup-simplify]: Simplify 1 into 1 15.609 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 15.609 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 15.609 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 15.609 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 15.609 * [taylor]: Taking taylor expansion of -1/2 in x 15.609 * [backup-simplify]: Simplify -1/2 into -1/2 15.609 * [taylor]: Taking taylor expansion of x in x 15.609 * [backup-simplify]: Simplify 0 into 0 15.609 * [backup-simplify]: Simplify 1 into 1 15.610 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.610 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 15.610 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 15.610 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 15.610 * [taylor]: Taking taylor expansion of -1/2 in x 15.610 * [backup-simplify]: Simplify -1/2 into -1/2 15.610 * [taylor]: Taking taylor expansion of x in x 15.610 * [backup-simplify]: Simplify 0 into 0 15.610 * [backup-simplify]: Simplify 1 into 1 15.610 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.610 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 15.610 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 15.610 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ -1/2 x))) in x 15.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 15.610 * [taylor]: Taking taylor expansion of x in x 15.610 * [backup-simplify]: Simplify 0 into 0 15.610 * [backup-simplify]: Simplify 1 into 1 15.610 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 15.610 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 15.610 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 15.610 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 15.610 * [taylor]: Taking taylor expansion of -1/2 in x 15.610 * [backup-simplify]: Simplify -1/2 into -1/2 15.610 * [taylor]: Taking taylor expansion of x in x 15.610 * [backup-simplify]: Simplify 0 into 0 15.610 * [backup-simplify]: Simplify 1 into 1 15.611 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.611 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 15.611 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 15.611 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 15.611 * [taylor]: Taking taylor expansion of -1/2 in x 15.611 * [backup-simplify]: Simplify -1/2 into -1/2 15.611 * [taylor]: Taking taylor expansion of x in x 15.611 * [backup-simplify]: Simplify 0 into 0 15.611 * [backup-simplify]: Simplify 1 into 1 15.611 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.611 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 15.611 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 15.612 * [backup-simplify]: Simplify (* 1 1) into 1 15.612 * [backup-simplify]: Simplify (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 15.612 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 15.612 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 15.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0 15.613 * [backup-simplify]: Simplify 0 into 0 15.613 * [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)))))) into 0 15.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 15.614 * [backup-simplify]: Simplify 0 into 0 15.614 * [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 15.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 15.616 * [backup-simplify]: Simplify 0 into 0 15.616 * [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 15.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 15.617 * [backup-simplify]: Simplify 0 into 0 15.618 * [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 15.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 15.620 * [backup-simplify]: Simplify 0 into 0 15.621 * [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 15.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.624 * [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 15.624 * [backup-simplify]: Simplify 0 into 0 15.625 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) (pow x 2))) 15.625 * * * [progress]: simplifying candidates 15.625 * * * * [progress]: [ 1 / 181 ] simplifiying candidate # 15.625 * * * * [progress]: [ 2 / 181 ] simplifiying candidate # 15.625 * * * * [progress]: [ 3 / 181 ] simplifiying candidate # 15.625 * * * * [progress]: [ 4 / 181 ] simplifiying candidate # 15.625 * * * * [progress]: [ 5 / 181 ] simplifiying candidate # 15.625 * * * * [progress]: [ 6 / 181 ] simplifiying candidate # 15.625 * * * * [progress]: [ 7 / 181 ] simplifiying candidate # 15.625 * * * * [progress]: [ 8 / 181 ] simplifiying candidate # 15.625 * * * * 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(tan (/ x 2)) x))) x)))> 15.631 * * * * [progress]: [ 100 / 181 ] simplifiying candidate # 15.631 * * * * [progress]: [ 101 / 181 ] simplifiying candidate # 15.631 * * * * [progress]: [ 102 / 181 ] simplifiying candidate # 15.631 * * * * [progress]: [ 103 / 181 ] simplifiying candidate # 15.631 * * * * [progress]: [ 104 / 181 ] simplifiying candidate # 15.631 * * * * [progress]: [ 105 / 181 ] simplifiying candidate # 15.631 * * * * [progress]: [ 106 / 181 ] simplifiying candidate # 15.631 * * * * [progress]: [ 107 / 181 ] simplifiying candidate # 15.631 * * * * [progress]: [ 108 / 181 ] simplifiying candidate # 15.631 * * * * [progress]: [ 109 / 181 ] simplifiying candidate # 15.632 * * * * [progress]: [ 110 / 181 ] simplifiying candidate # 15.632 * * * * [progress]: [ 111 / 181 ] simplifiying candidate # 15.632 * * * * [progress]: [ 112 / 181 ] simplifiying candidate # 15.632 * * * * [progress]: [ 113 / 181 ] simplifiying candidate # 15.632 * * * * [progress]: [ 114 / 181 ] 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15.636 * * * * [progress]: [ 174 / 181 ] simplifiying candidate # 15.636 * * * * [progress]: [ 175 / 181 ] simplifiying candidate # 15.636 * * * * [progress]: [ 176 / 181 ] simplifiying candidate # 15.636 * * * * [progress]: [ 177 / 181 ] simplifiying candidate # 15.636 * * * * [progress]: [ 178 / 181 ] simplifiying candidate # 15.636 * * * * [progress]: [ 179 / 181 ] simplifiying candidate # 15.636 * * * * [progress]: [ 180 / 181 ] simplifiying candidate # 15.636 * * * * [progress]: [ 181 / 181 ] simplifiying candidate # 15.639 * [simplify]: Simplifying: (expm1 (* (sin x) (/ (/ (tan (/ x 2)) x) x))) (log1p (* (sin x) (/ (/ (tan (/ x 2)) x) x))) (* (sin x) (/ (/ (tan (/ x 2)) x) x)) (+ (log (sin x)) (- (- (log (tan (/ x 2))) (log x)) (log x))) (+ (log (sin x)) (- (log (/ (tan (/ x 2)) x)) (log x))) (+ (log (sin x)) (log (/ (/ (tan (/ x 2)) x) x))) (log (* (sin x) (/ (/ (tan (/ x 2)) x) x))) (exp (* (sin x) (/ (/ (tan (/ x 2)) x) x))) (* (* (* (sin x) (sin x)) (sin x)) (/ (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)) (* (* x x) x))) (* (* (* (sin x) (sin x)) (sin x)) (/ (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)) (* (* x x) x))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (/ (/ (tan (/ x 2)) x) x) (/ (/ (tan (/ x 2)) x) 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))) (* (sqrt (sin x)) (sqrt (/ (/ (tan (/ x 2)) x) x))) (* (sqrt (sin x)) (sqrt (/ (/ (tan (/ x 2)) x) x))) (* (sqrt (sin x)) (/ (sqrt (/ (tan (/ x 2)) x)) (sqrt x))) (* (sqrt (sin x)) (/ (sqrt (/ (tan (/ x 2)) x)) (sqrt x))) (* (sqrt (sin x)) (/ (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt x))) (* (sqrt (sin x)) (/ (/ (sqrt (tan (/ x 2))) 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x)) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (+ (* 1/24 x) (+ (* 1/240 (pow x 3)) (* 1/2 (/ 1 x)))) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) (pow x 2))) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) (pow x 2))) 15.644 * * [simplify]: iteration 1: (253 enodes) 15.720 * * [simplify]: iteration 2: (629 enodes) 15.976 * * [simplify]: iteration 3: (1950 enodes) 18.098 * * [simplify]: Extracting #0: cost 143 inf + 0 18.102 * * [simplify]: Extracting #1: cost 1191 inf + 1 18.110 * * [simplify]: Extracting #2: cost 1785 inf + 23192 18.161 * * [simplify]: Extracting #3: cost 832 inf + 300737 18.263 * * [simplify]: Extracting #4: cost 189 inf + 524447 18.368 * * [simplify]: Extracting #5: cost 3 inf + 604094 18.497 * * [simplify]: Extracting #6: cost 0 inf + 605438 18.621 * [simplify]: Simplified to: (expm1 (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log1p (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin 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(tan (/ x 2))) x)) (/ (* (cbrt x) x) (sqrt (tan (/ x 2)))) (/ x (/ (sqrt (tan (/ x 2))) (sqrt x))) (/ x (/ (sqrt (tan (/ x 2))) x)) (/ (* x (cbrt x)) (tan (/ x 2))) (* (/ x (tan (/ x 2))) (sqrt x)) (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2))) (* x x) (* x x) (real->posit16 (/ (tan (/ x 2)) (* x x))) (fma -1/24 (* x x) (fma 1/720 (* (* x x) (* x x)) 1/2)) (* (/ (sin (* x 1/2)) (cos (* x 1/2))) (/ (/ (sin x) x) x)) (* (/ (sin (* x 1/2)) (cos (* x 1/2))) (/ (/ (sin x) x) x)) (fma (* (* x x) (* x x)) 1/240 (fma 1/24 (* x x) 1/2)) (/ (sin (* x 1/2)) (* (cos (* x 1/2)) x)) (/ (sin (* x 1/2)) (* (cos (* x 1/2)) x)) (fma (* x 1/240) (* x x) (fma x 1/24 (/ 1/2 x))) (/ (sin (* x 1/2)) (* x (* (cos (* x 1/2)) x))) (/ (sin (* x 1/2)) (* x (* (cos (* x 1/2)) x))) 18.641 * * * [progress]: adding candidates to table 20.205 * [progress]: [Phase 3 of 3] Extracting. 20.205 * * [regime]: Finding splitpoints for: (# # # #) 20.207 * * * [regime-changes]: Trying 1 branch expressions: (x) 20.207 * * * * [regimes]: Trying to branch on x from (# # # #) 20.254 * * * [regime]: Found split indices: #