16.690 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.163 * * * [progress]: [2/2] Setting up program. 0.166 * [progress]: [Phase 2 of 3] Improving. 0.166 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.166 * [simplify]: Simplifying: (/ (- 1 (cos x)) (* x x)) 0.166 * * [simplify]: iteration 0: 6 enodes 0.168 * * [simplify]: iteration 1: 15 enodes 0.170 * * [simplify]: iteration 2: 23 enodes 0.174 * * [simplify]: iteration 3: 28 enodes 0.177 * * [simplify]: iteration 4: 30 enodes 0.180 * * [simplify]: iteration complete: 30 enodes 0.181 * * [simplify]: Extracting #0: cost 1 inf + 0 0.181 * * [simplify]: Extracting #1: cost 8 inf + 0 0.181 * * [simplify]: Extracting #2: cost 12 inf + 42 0.181 * * [simplify]: Extracting #3: cost 7 inf + 447 0.181 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.181 * [simplify]: Simplified to: (/ (- 1 (cos x)) (* x x)) 0.184 * * [progress]: iteration 1 / 4 0.184 * * * [progress]: picking best candidate 0.185 * * * * [pick]: Picked # 0.185 * * * [progress]: localizing error 0.197 * * * [progress]: generating rewritten candidates 0.197 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.220 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.236 * * * [progress]: generating series expansions 0.236 * * * * [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 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [taylor]: Taking taylor expansion of (cos x) 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 0.242 * [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 0.244 * [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 0.246 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.246 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.247 * [backup-simplify]: Simplify (* 1 1) into 1 0.247 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.247 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.247 * [taylor]: Taking taylor expansion of 1 in x 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of (cos x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (- 1) into -1 0.248 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.248 * [backup-simplify]: Simplify (+ 0) into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.249 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.249 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.250 * [backup-simplify]: Simplify (* 1 1) into 1 0.250 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.250 * [backup-simplify]: Simplify 1/2 into 1/2 0.251 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.254 * [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 0.255 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.255 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.256 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.256 * [backup-simplify]: Simplify -1/24 into -1/24 0.258 * [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 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.263 * [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 0.263 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.263 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.265 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.265 * [backup-simplify]: Simplify 1/720 into 1/720 0.266 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 0.266 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.266 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 0.266 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.266 * [taylor]: Taking taylor expansion of 1 in x 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.267 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.267 * [taylor]: Taking taylor expansion of 1 in x 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.268 * [backup-simplify]: Simplify (* 1 1) into 1 0.268 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.268 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.268 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.268 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.281 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.281 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.281 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.281 * [taylor]: Taking taylor expansion of 1 in x 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.281 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.281 * [taylor]: Taking taylor expansion of -1 in x 0.281 * [backup-simplify]: Simplify -1 into -1 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ -1 1) into -1 0.282 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.282 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.282 * [taylor]: Taking taylor expansion of 1 in x 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.282 * [taylor]: Taking taylor expansion of -1 in x 0.282 * [backup-simplify]: Simplify -1 into -1 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ -1 1) into -1 0.282 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.283 * [backup-simplify]: Simplify (* 1 1) into 1 0.283 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.283 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.283 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.283 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.296 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.296 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.296 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.296 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.296 * [taylor]: Taking taylor expansion of 1 in x 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [taylor]: Taking taylor expansion of (cos x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.296 * [taylor]: Taking taylor expansion of 1 in x 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [taylor]: Taking taylor expansion of (cos x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (- 1) into -1 0.297 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify (+ 0) into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.299 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.299 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.299 * [backup-simplify]: Simplify 1/2 into 1/2 0.300 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.302 * [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 0.302 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.303 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.303 * [backup-simplify]: Simplify -1/24 into -1/24 0.305 * [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 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.308 * [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 0.308 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.309 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.309 * [backup-simplify]: Simplify 1/720 into 1/720 0.309 * [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))) 0.309 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.309 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.309 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.309 * [taylor]: Taking taylor expansion of 1 in x 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.310 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.310 * [taylor]: Taking taylor expansion of 1 in x 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.310 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.310 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.310 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.314 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.314 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.314 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.314 * [taylor]: Taking taylor expansion of 1 in x 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.314 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.314 * [taylor]: Taking taylor expansion of -1 in x 0.314 * [backup-simplify]: Simplify -1 into -1 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (/ -1 1) into -1 0.314 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.314 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.314 * [taylor]: Taking taylor expansion of 1 in x 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.314 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.314 * [taylor]: Taking taylor expansion of -1 in x 0.314 * [backup-simplify]: Simplify -1 into -1 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ -1 1) into -1 0.315 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.315 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.315 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.315 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.318 * * * [progress]: simplifying candidates 0.318 * * * * [progress]: [ 1 / 69 ] simplifiying candidate # 0.318 * * * * [progress]: [ 2 / 69 ] simplifiying candidate # 0.318 * * * * [progress]: [ 3 / 69 ] simplifiying candidate # 0.318 * * * * [progress]: [ 4 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 5 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 6 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 7 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 8 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 9 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 10 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 11 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 12 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 13 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 14 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 15 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 16 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 17 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 18 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 19 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 20 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 21 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 22 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 23 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 24 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 25 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 26 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 27 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 28 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 29 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 30 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 31 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 32 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.320 * * * * [progress]: [ 34 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 35 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 36 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 37 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 38 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 39 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 40 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 41 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 42 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 43 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 44 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 45 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 46 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 47 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 48 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 49 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 50 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 51 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 52 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 53 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 54 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 55 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 56 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 57 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 58 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 59 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 60 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 61 / 69 ] simplifiying candidate # 0.321 * * * * [progress]: [ 62 / 69 ] simplifiying candidate # 0.321 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.321 * * * * [progress]: [ 64 / 69 ] simplifiying candidate # 0.321 * * * * [progress]: [ 65 / 69 ] simplifiying candidate # 0.321 * * * * [progress]: [ 66 / 69 ] simplifiying candidate # 0.321 * * * * [progress]: [ 67 / 69 ] simplifiying candidate # 0.321 * * * * [progress]: [ 68 / 69 ] simplifiying candidate # 0.321 * * * * [progress]: [ 69 / 69 ] simplifiying candidate # 0.328 * [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)) 0.329 * * [simplify]: iteration 0: 121 enodes 0.378 * * [simplify]: iteration 1: 295 enodes 0.504 * * [simplify]: iteration 2: 867 enodes 0.719 * * [simplify]: iteration 3: 2048 enodes 1.044 * * [simplify]: iteration complete: 2048 enodes 1.044 * * [simplify]: Extracting #0: cost 48 inf + 0 1.045 * * [simplify]: Extracting #1: cost 408 inf + 0 1.048 * * [simplify]: Extracting #2: cost 666 inf + 12127 1.077 * * [simplify]: Extracting #3: cost 302 inf + 94686 1.108 * * [simplify]: Extracting #4: cost 3 inf + 155448 1.134 * * [simplify]: Extracting #5: cost 0 inf + 155765 1.162 * * [simplify]: Extracting #6: cost 0 inf + 155365 1.186 * [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 (- 1 (sqrt (cos x)))) x) (* (/ x (- 1 (sqrt (cos x)))) x) (/ x (/ (- 1 (cos x)) x)) (fma (fma (cos x) (cos x) (cos x)) (* x x) (* x x)) (fma (* x x) (cos x) (* x x)) (real->posit16 (/ (- 1 (cos x)) (* x x))) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1 (cos x))) (log (- 1 (cos x))) (exp (- 1 (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (- 1 (cos x)) (* (- 1 (cos x)) (- 1 (cos x)))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- 1 (* (cos x) (* (cos x) (cos x)))) (+ (cos x) (fma (cos x) (cos x) 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 -1/24 (* x x) (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 (* (* x x) (* (* x x) (* x x))) 1/720 (* (* (* x x) (* x x)) -1/24))) (- 1 (cos x)) (- 1 (cos x)) 1.189 * * * [progress]: adding candidates to table 1.736 * * [progress]: iteration 2 / 4 1.736 * * * [progress]: picking best candidate 1.774 * * * * [pick]: Picked # 1.774 * * * [progress]: localizing error 1.795 * * * [progress]: generating rewritten candidates 1.795 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.816 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.822 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.834 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.861 * * * [progress]: generating series expansions 1.862 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.862 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 1.862 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 1.862 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 1.862 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.862 * [taylor]: Taking taylor expansion of (sin x) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.864 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.864 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 1.864 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.864 * [taylor]: Taking taylor expansion of x in x 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.864 * [taylor]: Taking taylor expansion of (cos x) in x 1.864 * [taylor]: Taking taylor expansion of x in x 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [taylor]: Taking taylor expansion of 1 in x 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [backup-simplify]: Simplify (* 1 1) into 1 1.865 * [backup-simplify]: Simplify (* 1 1) into 1 1.865 * [backup-simplify]: Simplify (+ 1 1) into 2 1.866 * [backup-simplify]: Simplify (* 1 2) into 2 1.866 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.866 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 1.866 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.866 * [taylor]: Taking taylor expansion of (sin x) in x 1.866 * [taylor]: Taking taylor expansion of x in x 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify 1 into 1 1.867 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.867 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 1.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.867 * [taylor]: Taking taylor expansion of x in x 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.867 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.867 * [taylor]: Taking taylor expansion of (cos x) in x 1.867 * [taylor]: Taking taylor expansion of x in x 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.867 * [taylor]: Taking taylor expansion of 1 in x 1.867 * [backup-simplify]: Simplify 1 into 1 1.868 * [backup-simplify]: Simplify (* 1 1) into 1 1.868 * [backup-simplify]: Simplify (* 1 1) into 1 1.868 * [backup-simplify]: Simplify (+ 1 1) into 2 1.869 * [backup-simplify]: Simplify (* 1 2) into 2 1.869 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.869 * [backup-simplify]: Simplify 1/2 into 1/2 1.870 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.872 * [backup-simplify]: Simplify (+ 0) into 0 1.872 * [backup-simplify]: Simplify (+ 0 0) into 0 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 1.874 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 1.874 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.877 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.878 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.879 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.881 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 1.882 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 1.882 * [backup-simplify]: Simplify -1/24 into -1/24 1.884 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.887 * [backup-simplify]: Simplify (+ 0 0) into 0 1.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 1.891 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 1.891 * [backup-simplify]: Simplify 0 into 0 1.894 * [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 1.896 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.899 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.899 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.902 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 1.905 * [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 1.905 * [backup-simplify]: Simplify 1/720 into 1/720 1.905 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 1.905 * [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)) 1.905 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 1.905 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 1.906 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 1.906 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.906 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [backup-simplify]: Simplify (/ 1 1) into 1 1.906 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.906 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (/ 1 1) into 1 1.907 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.907 * [taylor]: Taking taylor expansion of 1 in x 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.908 * [backup-simplify]: Simplify (* 1 1) into 1 1.908 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 1.908 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.908 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.908 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 1.908 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 1.908 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.908 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (/ 1 1) into 1 1.909 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.909 * [taylor]: Taking taylor expansion of x in x 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.909 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.909 * [taylor]: Taking taylor expansion of x in x 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (/ 1 1) into 1 1.909 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.909 * [taylor]: Taking taylor expansion of 1 in x 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.910 * [backup-simplify]: Simplify (* 1 1) into 1 1.910 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 1.910 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.910 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.910 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.911 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 1.911 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 1.911 * [backup-simplify]: Simplify (+ 0 0) into 0 1.911 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.912 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 1.913 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.913 * [backup-simplify]: Simplify (+ 0 0) into 0 1.913 * [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 1.913 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 1.915 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (+ 0 0) into 0 1.916 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.917 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 1.918 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.918 * [backup-simplify]: Simplify (+ 0 0) into 0 1.919 * [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 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.920 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 1.921 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.921 * [backup-simplify]: Simplify (+ 0 0) into 0 1.922 * [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 1.922 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.924 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 1.925 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.925 * [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 1.925 * [backup-simplify]: Simplify 0 into 0 1.926 * [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))) 1.926 * [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)) 1.926 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 1.926 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 1.926 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 1.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.926 * [taylor]: Taking taylor expansion of x in x 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.926 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.926 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.926 * [taylor]: Taking taylor expansion of -1 in x 1.926 * [backup-simplify]: Simplify -1 into -1 1.926 * [taylor]: Taking taylor expansion of x in x 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (/ -1 1) into -1 1.926 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.926 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.926 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.926 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.926 * [taylor]: Taking taylor expansion of -1 in x 1.926 * [backup-simplify]: Simplify -1 into -1 1.926 * [taylor]: Taking taylor expansion of x in x 1.926 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (/ -1 1) into -1 1.927 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.927 * [taylor]: Taking taylor expansion of 1 in x 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (* 1 1) into 1 1.927 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.927 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 1.927 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.927 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.927 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 1.927 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 1.927 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.928 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.928 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.928 * [taylor]: Taking taylor expansion of -1 in x 1.928 * [backup-simplify]: Simplify -1 into -1 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (/ -1 1) into -1 1.928 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.928 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.928 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.928 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.928 * [taylor]: Taking taylor expansion of -1 in x 1.928 * [backup-simplify]: Simplify -1 into -1 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (/ -1 1) into -1 1.929 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.929 * [taylor]: Taking taylor expansion of 1 in x 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (* 1 1) into 1 1.929 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.929 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 1.929 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.929 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.930 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.930 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 1.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 1.931 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 1.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.934 * [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 1.934 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 1.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.937 * [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 1.937 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 1.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 1.940 * [backup-simplify]: Simplify (+ 0 0) into 0 1.941 * [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 1.941 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 1.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 1.944 * [backup-simplify]: Simplify (+ 0 0) into 0 1.945 * [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 1.945 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 1.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 1.949 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [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 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [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))) 1.950 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.950 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 1.950 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 1.950 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.950 * [taylor]: Taking taylor expansion of (cos x) in x 1.950 * [taylor]: Taking taylor expansion of x in x 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [taylor]: Taking taylor expansion of 1 in x 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.950 * [taylor]: Taking taylor expansion of (cos x) in x 1.950 * [taylor]: Taking taylor expansion of x in x 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [taylor]: Taking taylor expansion of 1 in x 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [backup-simplify]: Simplify (+ 1 1) into 2 1.951 * [backup-simplify]: Simplify 2 into 2 1.951 * [backup-simplify]: Simplify (+ 0) into 0 1.951 * [backup-simplify]: Simplify (+ 0 0) into 0 1.951 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.959 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.959 * [backup-simplify]: Simplify -1/2 into -1/2 1.960 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.965 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.965 * [backup-simplify]: Simplify 1/24 into 1/24 1.966 * [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))) 1.966 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 1.966 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 1.966 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.966 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (/ 1 1) into 1 1.967 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.967 * [taylor]: Taking taylor expansion of 1 in x 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.967 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.967 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (/ 1 1) into 1 1.967 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.967 * [taylor]: Taking taylor expansion of 1 in x 1.967 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.968 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.968 * [backup-simplify]: Simplify (+ 0 0) into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 1.971 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 1.971 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 1.971 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.971 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.971 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.971 * [taylor]: Taking taylor expansion of -1 in x 1.971 * [backup-simplify]: Simplify -1 into -1 1.971 * [taylor]: Taking taylor expansion of x in x 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (/ -1 1) into -1 1.971 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.972 * [taylor]: Taking taylor expansion of 1 in x 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.972 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.972 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.972 * [taylor]: Taking taylor expansion of -1 in x 1.972 * [backup-simplify]: Simplify -1 into -1 1.972 * [taylor]: Taking taylor expansion of x in x 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (/ -1 1) into -1 1.972 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.972 * [taylor]: Taking taylor expansion of 1 in x 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.973 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.973 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 1.976 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.976 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 1.976 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 1.976 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.976 * [taylor]: Taking taylor expansion of (sin x) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.977 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.977 * [taylor]: Taking taylor expansion of (sin x) in x 1.977 * [taylor]: Taking taylor expansion of x in x 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.978 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.978 * [backup-simplify]: Simplify (* 1 1) into 1 1.978 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.983 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.983 * [backup-simplify]: Simplify -1/3 into -1/3 1.985 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.990 * [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 1.991 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.992 * [backup-simplify]: Simplify 2/45 into 2/45 1.992 * [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))) 1.992 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.992 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 1.992 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.992 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.992 * [taylor]: Taking taylor expansion of x in x 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.993 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.993 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.994 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.994 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.994 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 1.994 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 1.994 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 2.000 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 2.000 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 2.000 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.000 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.000 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.000 * [taylor]: Taking taylor expansion of -1 in x 2.000 * [backup-simplify]: Simplify -1 into -1 2.000 * [taylor]: Taking taylor expansion of x in x 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (/ -1 1) into -1 2.000 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.000 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.000 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.000 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.000 * [taylor]: Taking taylor expansion of -1 in x 2.000 * [backup-simplify]: Simplify -1 into -1 2.000 * [taylor]: Taking taylor expansion of x in x 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (/ -1 1) into -1 2.001 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.001 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.001 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 2.001 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.002 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 2.005 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.005 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.005 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 2.005 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 2.005 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.005 * [taylor]: Taking taylor expansion of (sin x) in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.006 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.006 * [taylor]: Taking taylor expansion of (cos x) in x 2.006 * [taylor]: Taking taylor expansion of x in x 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 1 into 1 2.006 * [taylor]: Taking taylor expansion of 1 in x 2.006 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (* 1 1) into 1 2.006 * [backup-simplify]: Simplify (+ 1 1) into 2 2.007 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.007 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 2.007 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.007 * [taylor]: Taking taylor expansion of (sin x) in x 2.007 * [taylor]: Taking taylor expansion of x in x 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.007 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.007 * [taylor]: Taking taylor expansion of (cos x) in x 2.007 * [taylor]: Taking taylor expansion of x in x 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [taylor]: Taking taylor expansion of 1 in x 2.007 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (* 1 1) into 1 2.008 * [backup-simplify]: Simplify (+ 1 1) into 2 2.008 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.008 * [backup-simplify]: Simplify 1/2 into 1/2 2.009 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.009 * [backup-simplify]: Simplify (+ 0) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.010 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 2.010 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.012 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.012 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.013 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.014 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 2.014 * [backup-simplify]: Simplify -1/24 into -1/24 2.014 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.016 * [backup-simplify]: Simplify (+ 0 0) into 0 2.017 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.019 * [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 2.020 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.022 * [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 2.022 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.023 * [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 2.023 * [backup-simplify]: Simplify 1/720 into 1/720 2.024 * [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))) 2.024 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.024 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 2.024 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 2.024 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.024 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (/ 1 1) into 1 2.024 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.024 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.024 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.025 * [backup-simplify]: Simplify (/ 1 1) into 1 2.025 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.025 * [taylor]: Taking taylor expansion of 1 in x 2.025 * [backup-simplify]: Simplify 1 into 1 2.025 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.025 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.025 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.025 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 2.025 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.025 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.025 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.025 * [taylor]: Taking taylor expansion of x in x 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.025 * [backup-simplify]: Simplify (/ 1 1) into 1 2.025 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.025 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.025 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.025 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.025 * [taylor]: Taking taylor expansion of x in x 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.026 * [backup-simplify]: Simplify (/ 1 1) into 1 2.026 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.026 * [taylor]: Taking taylor expansion of 1 in x 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.026 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.026 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.026 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.026 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.026 * [backup-simplify]: Simplify (+ 0 0) into 0 2.027 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.027 * [backup-simplify]: Simplify (+ 0 0) into 0 2.028 * [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 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.028 * [backup-simplify]: Simplify (+ 0 0) into 0 2.029 * [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 2.029 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.030 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [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 2.030 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.031 * [backup-simplify]: Simplify (+ 0 0) into 0 2.032 * [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 2.032 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.033 * [backup-simplify]: Simplify (+ 0 0) into 0 2.034 * [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 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.034 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.034 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 2.034 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 2.034 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.034 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.034 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.034 * [taylor]: Taking taylor expansion of -1 in x 2.034 * [backup-simplify]: Simplify -1 into -1 2.034 * [taylor]: Taking taylor expansion of x in x 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (/ -1 1) into -1 2.035 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.035 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.035 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.035 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.035 * [taylor]: Taking taylor expansion of -1 in x 2.035 * [backup-simplify]: Simplify -1 into -1 2.035 * [taylor]: Taking taylor expansion of x in x 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (/ -1 1) into -1 2.035 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.035 * [taylor]: Taking taylor expansion of 1 in x 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.035 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.035 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.035 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 2.035 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.035 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.035 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.035 * [taylor]: Taking taylor expansion of -1 in x 2.035 * [backup-simplify]: Simplify -1 into -1 2.035 * [taylor]: Taking taylor expansion of x in x 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (/ -1 1) into -1 2.036 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.036 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.036 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.036 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.036 * [taylor]: Taking taylor expansion of -1 in x 2.036 * [backup-simplify]: Simplify -1 into -1 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (/ -1 1) into -1 2.036 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.036 * [taylor]: Taking taylor expansion of 1 in x 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.036 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.037 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.037 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.037 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.037 * [backup-simplify]: Simplify (+ 0 0) into 0 2.038 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.039 * [backup-simplify]: Simplify (+ 0 0) into 0 2.040 * [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 2.040 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.041 * [backup-simplify]: Simplify (+ 0 0) into 0 2.042 * [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 2.042 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.044 * [backup-simplify]: Simplify (+ 0 0) into 0 2.045 * [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 2.045 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [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 2.048 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.051 * [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 2.051 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.052 * * * [progress]: simplifying candidates 2.052 * * * * [progress]: [ 1 / 138 ] simplifiying candidate # 2.052 * * * * [progress]: [ 2 / 138 ] simplifiying candidate # 2.052 * * * * [progress]: [ 3 / 138 ] simplifiying candidate # 2.052 * * * * [progress]: [ 4 / 138 ] simplifiying candidate # 2.052 * * * * [progress]: [ 5 / 138 ] simplifiying candidate # 2.052 * * * * [progress]: [ 6 / 138 ] simplifiying candidate # 2.052 * * * * [progress]: [ 7 / 138 ] simplifiying candidate # 2.052 * * * * [progress]: [ 8 / 138 ] simplifiying candidate # 2.053 * * * * [progress]: [ 9 / 138 ] simplifiying candidate # 2.053 * * * * [progress]: [ 10 / 138 ] simplifiying candidate # 2.053 * * * * [progress]: [ 11 / 138 ] simplifiying candidate # 2.053 * * * * [progress]: [ 12 / 138 ] simplifiying candidate # 2.053 * * * * [progress]: [ 13 / 138 ] simplifiying candidate # 2.053 * * * * [progress]: [ 14 / 138 ] simplifiying candidate # 2.053 * * * * [progress]: [ 15 / 138 ] simplifiying candidate # 2.053 * * * * [progress]: [ 16 / 138 ] simplifiying candidate # 2.053 * * * * [progress]: [ 17 / 138 ] simplifiying candidate # 2.053 * * * * [progress]: [ 18 / 138 ] simplifiying candidate # 2.053 * * * * [progress]: [ 19 / 138 ] simplifiying candidate # 2.053 * * * * [progress]: [ 20 / 138 ] simplifiying candidate # 2.053 * * * * [progress]: [ 21 / 138 ] simplifiying candidate # 2.054 * * * * [progress]: [ 22 / 138 ] simplifiying candidate # 2.054 * * * * [progress]: [ 23 / 138 ] simplifiying candidate # 2.054 * * * * [progress]: [ 24 / 138 ] simplifiying candidate # 2.054 * * * * [progress]: [ 25 / 138 ] simplifiying candidate # 2.054 * * * * [progress]: [ 26 / 138 ] simplifiying candidate # 2.054 * * * * [progress]: [ 27 / 138 ] simplifiying candidate # 2.054 * * * * [progress]: [ 28 / 138 ] simplifiying candidate # 2.054 * * * * [progress]: [ 29 / 138 ] simplifiying candidate # 2.054 * * * * [progress]: [ 30 / 138 ] simplifiying candidate # 2.054 * * * * [progress]: [ 31 / 138 ] simplifiying candidate # 2.054 * * * * [progress]: [ 32 / 138 ] simplifiying candidate # 2.054 * * * * [progress]: [ 33 / 138 ] simplifiying candidate # 2.054 * * * * [progress]: [ 34 / 138 ] simplifiying candidate # 2.054 * * * * [progress]: [ 35 / 138 ] simplifiying candidate # 2.054 * * * * [progress]: [ 36 / 138 ] simplifiying candidate # 2.055 * * * * [progress]: [ 37 / 138 ] simplifiying candidate # 2.055 * * * * [progress]: [ 38 / 138 ] simplifiying candidate # 2.055 * * * * [progress]: [ 39 / 138 ] simplifiying candidate # 2.055 * * * * [progress]: [ 40 / 138 ] simplifiying candidate # 2.055 * * * * [progress]: [ 41 / 138 ] simplifiying candidate # 2.055 * * * * [progress]: [ 42 / 138 ] simplifiying candidate # 2.055 * * * * [progress]: [ 43 / 138 ] simplifiying candidate # 2.055 * * * * [progress]: [ 44 / 138 ] simplifiying candidate # 2.055 * * * * [progress]: [ 45 / 138 ] simplifiying candidate # 2.055 * * * * [progress]: [ 46 / 138 ] simplifiying candidate # 2.055 * * * * [progress]: [ 47 / 138 ] simplifiying candidate # 2.055 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 2.055 * * * * [progress]: [ 49 / 138 ] simplifiying candidate # 2.055 * * * * [progress]: [ 50 / 138 ] simplifiying candidate # 2.056 * * * * [progress]: [ 51 / 138 ] simplifiying candidate # 2.056 * * * * [progress]: [ 52 / 138 ] simplifiying candidate # 2.056 * * * * [progress]: [ 53 / 138 ] simplifiying candidate # 2.056 * * * * [progress]: [ 54 / 138 ] simplifiying candidate # 2.056 * * * * [progress]: [ 55 / 138 ] simplifiying candidate # 2.056 * * * * [progress]: [ 56 / 138 ] simplifiying candidate # 2.056 * * * * [progress]: [ 57 / 138 ] simplifiying candidate # 2.056 * * * * [progress]: [ 58 / 138 ] simplifiying candidate # 2.056 * * * * [progress]: [ 59 / 138 ] simplifiying candidate # 2.056 * * * * [progress]: [ 60 / 138 ] simplifiying candidate # 2.056 * * * * [progress]: [ 61 / 138 ] simplifiying candidate # 2.056 * * * * [progress]: [ 62 / 138 ] simplifiying candidate # 2.056 * * * * [progress]: [ 63 / 138 ] simplifiying candidate # 2.056 * * * * [progress]: [ 64 / 138 ] simplifiying candidate # 2.056 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 2.057 * * * * [progress]: [ 66 / 138 ] simplifiying candidate # 2.057 * * * * [progress]: [ 67 / 138 ] simplifiying candidate # 2.057 * * * * [progress]: [ 68 / 138 ] simplifiying candidate # 2.057 * * * * [progress]: [ 69 / 138 ] simplifiying candidate # 2.057 * * * * [progress]: [ 70 / 138 ] simplifiying candidate # 2.057 * * * * [progress]: [ 71 / 138 ] simplifiying candidate # 2.057 * * * * [progress]: [ 72 / 138 ] simplifiying candidate # 2.057 * * * * [progress]: [ 73 / 138 ] simplifiying candidate # 2.057 * * * * [progress]: [ 74 / 138 ] simplifiying candidate # 2.057 * * * * [progress]: [ 75 / 138 ] simplifiying candidate # 2.057 * * * * [progress]: [ 76 / 138 ] simplifiying candidate # 2.057 * * * * [progress]: [ 77 / 138 ] simplifiying candidate # 2.057 * * * * [progress]: [ 78 / 138 ] simplifiying candidate # 2.057 * * * * [progress]: [ 79 / 138 ] simplifiying candidate # 2.057 * * * * [progress]: [ 80 / 138 ] simplifiying candidate # 2.058 * * * * [progress]: [ 81 / 138 ] simplifiying candidate # 2.058 * * * * [progress]: [ 82 / 138 ] simplifiying candidate # 2.058 * * * * [progress]: [ 83 / 138 ] simplifiying candidate # 2.058 * * * * [progress]: [ 84 / 138 ] simplifiying candidate # 2.058 * * * * [progress]: [ 85 / 138 ] simplifiying candidate # 2.058 * * * * [progress]: [ 86 / 138 ] simplifiying candidate # 2.058 * * * * [progress]: [ 87 / 138 ] simplifiying candidate # 2.058 * * * * [progress]: [ 88 / 138 ] simplifiying candidate # 2.058 * * * * [progress]: [ 89 / 138 ] simplifiying candidate # 2.058 * * * * [progress]: [ 90 / 138 ] simplifiying candidate # 2.058 * * * * [progress]: [ 91 / 138 ] simplifiying candidate # 2.058 * * * * [progress]: [ 92 / 138 ] simplifiying candidate # 2.058 * * * * [progress]: [ 93 / 138 ] simplifiying candidate # 2.058 * * * * [progress]: [ 94 / 138 ] simplifiying candidate # 2.058 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 2.059 * * * * [progress]: [ 96 / 138 ] simplifiying candidate # 2.059 * * * * [progress]: [ 97 / 138 ] simplifiying candidate # 2.059 * * * * [progress]: [ 98 / 138 ] simplifiying candidate # 2.059 * * * * [progress]: [ 99 / 138 ] simplifiying candidate # 2.059 * * * * [progress]: [ 100 / 138 ] simplifiying candidate # 2.059 * * * * [progress]: [ 101 / 138 ] simplifiying candidate # 2.059 * * * * [progress]: [ 102 / 138 ] simplifiying candidate # 2.059 * * * * [progress]: [ 103 / 138 ] simplifiying candidate # 2.059 * * * * [progress]: [ 104 / 138 ] simplifiying candidate # 2.059 * * * * [progress]: [ 105 / 138 ] simplifiying candidate # 2.059 * * * * [progress]: [ 106 / 138 ] simplifiying candidate # 2.059 * * * * [progress]: [ 107 / 138 ] simplifiying candidate # 2.059 * * * * [progress]: [ 108 / 138 ] simplifiying candidate # 2.059 * * * * [progress]: [ 109 / 138 ] simplifiying candidate # 2.059 * * * * [progress]: [ 110 / 138 ] simplifiying candidate # 2.060 * * * * [progress]: [ 111 / 138 ] simplifiying candidate # 2.060 * * * * [progress]: [ 112 / 138 ] simplifiying candidate # 2.060 * * * * [progress]: [ 113 / 138 ] simplifiying candidate # 2.060 * * * * [progress]: [ 114 / 138 ] simplifiying candidate # 2.060 * * * * [progress]: [ 115 / 138 ] simplifiying candidate # 2.060 * * * * [progress]: [ 116 / 138 ] simplifiying candidate # 2.060 * * * * [progress]: [ 117 / 138 ] simplifiying candidate # 2.060 * * * * [progress]: [ 118 / 138 ] simplifiying candidate # 2.060 * * * * [progress]: [ 119 / 138 ] simplifiying candidate # 2.060 * * * * [progress]: [ 120 / 138 ] simplifiying candidate # 2.060 * * * * [progress]: [ 121 / 138 ] simplifiying candidate # 2.060 * * * * [progress]: [ 122 / 138 ] simplifiying candidate # 2.060 * * * * [progress]: [ 123 / 138 ] simplifiying candidate # 2.060 * * * * [progress]: [ 124 / 138 ] simplifiying candidate # 2.060 * * * * [progress]: [ 125 / 138 ] simplifiying candidate # 2.061 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 2.061 * * * * [progress]: [ 127 / 138 ] simplifiying candidate # 2.061 * * * * [progress]: [ 128 / 138 ] simplifiying candidate # 2.061 * * * * [progress]: [ 129 / 138 ] simplifiying candidate # 2.061 * * * * [progress]: [ 130 / 138 ] simplifiying candidate # 2.061 * * * * [progress]: [ 131 / 138 ] simplifiying candidate # 2.061 * * * * [progress]: [ 132 / 138 ] simplifiying candidate # 2.061 * * * * [progress]: [ 133 / 138 ] simplifiying candidate # 2.061 * * * * [progress]: [ 134 / 138 ] simplifiying candidate # 2.061 * * * * [progress]: [ 135 / 138 ] simplifiying candidate # 2.061 * * * * [progress]: [ 136 / 138 ] simplifiying candidate # 2.061 * * * * [progress]: [ 137 / 138 ] simplifiying candidate # 2.061 * * * * [progress]: [ 138 / 138 ] simplifiying candidate # 2.064 * [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 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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)) 2.068 * * [simplify]: iteration 0: 190 enodes 2.150 * * [simplify]: iteration 1: 525 enodes 2.499 * * [simplify]: iteration 2: 1777 enodes 2.974 * * [simplify]: iteration 3: 2000 enodes 3.403 * * [simplify]: iteration complete: 2000 enodes 3.403 * * [simplify]: Extracting #0: cost 108 inf + 0 3.405 * * [simplify]: Extracting #1: cost 513 inf + 2 3.411 * * [simplify]: Extracting #2: cost 664 inf + 3435 3.424 * * [simplify]: Extracting #3: cost 374 inf + 58162 3.450 * * [simplify]: Extracting #4: cost 86 inf + 145991 3.493 * * [simplify]: Extracting #5: cost 1 inf + 171989 3.522 * * [simplify]: Extracting #6: cost 0 inf + 171087 3.576 * [simplify]: Simplified to: (expm1 (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log1p (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log (/ (* (sin x) (sin x)) (fma (* x x) 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(fma -1/24 (* x x) (fma (* (* x x) (* x x)) 1/720 1/2)) (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) (fma (* x x) -1/2 (fma (* 1/24 (* x x)) (* x x) 2)) (+ (cos x) 1) (+ (cos x) 1) (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))) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) 3.583 * * * [progress]: adding candidates to table 4.940 * * [progress]: iteration 3 / 4 4.940 * * * [progress]: picking best candidate 4.964 * * * * [pick]: Picked # 4.964 * * * [progress]: localizing error 4.987 * * * [progress]: generating rewritten candidates 4.987 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 5.000 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 5.008 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 5.023 * * * [progress]: generating series expansions 5.023 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 5.023 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 5.024 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 5.024 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 5.024 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.025 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.025 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.025 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.025 * [taylor]: Taking taylor expansion of 1/2 in x 5.025 * [backup-simplify]: Simplify 1/2 into 1/2 5.025 * [taylor]: Taking taylor expansion of x in x 5.025 * [backup-simplify]: Simplify 0 into 0 5.025 * [backup-simplify]: Simplify 1 into 1 5.025 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.026 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.026 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.026 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.026 * [taylor]: Taking taylor expansion of 1/2 in x 5.026 * [backup-simplify]: Simplify 1/2 into 1/2 5.026 * [taylor]: Taking taylor expansion of x in x 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify 1 into 1 5.026 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.027 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.027 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.027 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.027 * [taylor]: Taking taylor expansion of x in x 5.027 * [backup-simplify]: Simplify 0 into 0 5.027 * [backup-simplify]: Simplify 1 into 1 5.028 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.028 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 5.028 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.028 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.028 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.028 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.028 * [taylor]: Taking taylor expansion of 1/2 in x 5.028 * [backup-simplify]: Simplify 1/2 into 1/2 5.028 * [taylor]: Taking taylor expansion of x in x 5.028 * [backup-simplify]: Simplify 0 into 0 5.028 * [backup-simplify]: Simplify 1 into 1 5.028 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.029 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.029 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.029 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.029 * [taylor]: Taking taylor expansion of 1/2 in x 5.029 * [backup-simplify]: Simplify 1/2 into 1/2 5.029 * [taylor]: Taking taylor expansion of x in x 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 1 into 1 5.029 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.030 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.031 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.031 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.031 * [taylor]: Taking taylor expansion of x in x 5.031 * [backup-simplify]: Simplify 0 into 0 5.031 * [backup-simplify]: Simplify 1 into 1 5.032 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.032 * [backup-simplify]: Simplify 1/2 into 1/2 5.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.040 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.041 * [backup-simplify]: Simplify (+ 0) into 0 5.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.043 * [backup-simplify]: Simplify 0 into 0 5.044 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.046 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 5.047 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 5.048 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 5.050 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 5.050 * [backup-simplify]: Simplify 1/24 into 1/24 5.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.053 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.055 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 5.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 5.058 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.063 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 5.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.067 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 5.069 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 5.071 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 5.071 * [backup-simplify]: Simplify 1/240 into 1/240 5.071 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 4)) (+ (* 1/24 (pow x 2)) 1/2)) into (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) 5.072 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 5.072 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 5.072 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 5.072 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.072 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.072 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.072 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.072 * [taylor]: Taking taylor expansion of 1/2 in x 5.072 * [backup-simplify]: Simplify 1/2 into 1/2 5.072 * [taylor]: Taking taylor expansion of x in x 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify 1 into 1 5.072 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.073 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.073 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.073 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.073 * [taylor]: Taking taylor expansion of 1/2 in x 5.073 * [backup-simplify]: Simplify 1/2 into 1/2 5.073 * [taylor]: Taking taylor expansion of x in x 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify 1 into 1 5.073 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.073 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.073 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.073 * [taylor]: Taking taylor expansion of x in x 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify 1 into 1 5.073 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 5.073 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.074 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.074 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.074 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.074 * [taylor]: Taking taylor expansion of 1/2 in x 5.074 * [backup-simplify]: Simplify 1/2 into 1/2 5.074 * [taylor]: Taking taylor expansion of x in x 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify 1 into 1 5.074 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.074 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.074 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.074 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.074 * [taylor]: Taking taylor expansion of 1/2 in x 5.074 * [backup-simplify]: Simplify 1/2 into 1/2 5.074 * [taylor]: Taking taylor expansion of x in x 5.074 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify 1 into 1 5.075 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.075 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.075 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.075 * [taylor]: Taking taylor expansion of x in x 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify 1 into 1 5.075 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 5.075 * [backup-simplify]: Simplify 0 into 0 5.076 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 5.077 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.077 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.077 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.078 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.079 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.079 * [backup-simplify]: Simplify 0 into 0 5.080 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.081 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.082 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.083 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.084 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.084 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.087 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 5.087 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 5.087 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 5.087 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 5.087 * [taylor]: Taking taylor expansion of -1 in x 5.087 * [backup-simplify]: Simplify -1 into -1 5.087 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 5.087 * [taylor]: Taking taylor expansion of x in x 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify 1 into 1 5.087 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.087 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.087 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.087 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.087 * [taylor]: Taking taylor expansion of -1/2 in x 5.087 * [backup-simplify]: Simplify -1/2 into -1/2 5.087 * [taylor]: Taking taylor expansion of x in x 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify 1 into 1 5.088 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.088 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.088 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.088 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.088 * [taylor]: Taking taylor expansion of -1/2 in x 5.088 * [backup-simplify]: Simplify -1/2 into -1/2 5.088 * [taylor]: Taking taylor expansion of x in x 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify 1 into 1 5.088 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.089 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.089 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.089 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 5.089 * [taylor]: Taking taylor expansion of -1 in x 5.089 * [backup-simplify]: Simplify -1 into -1 5.089 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 5.089 * [taylor]: Taking taylor expansion of x in x 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 1 into 1 5.089 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.089 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.089 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.089 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.089 * [taylor]: Taking taylor expansion of -1/2 in x 5.089 * [backup-simplify]: Simplify -1/2 into -1/2 5.089 * [taylor]: Taking taylor expansion of x in x 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 1 into 1 5.090 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.090 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.090 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.090 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.090 * [taylor]: Taking taylor expansion of -1/2 in x 5.090 * [backup-simplify]: Simplify -1/2 into -1/2 5.090 * [taylor]: Taking taylor expansion of x in x 5.090 * [backup-simplify]: Simplify 0 into 0 5.090 * [backup-simplify]: Simplify 1 into 1 5.091 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.091 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.091 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.091 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 5.092 * [backup-simplify]: Simplify (* -1 0) into 0 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 5.092 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.093 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 5.093 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 5.093 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 5.095 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 5.095 * [backup-simplify]: Simplify 0 into 0 5.096 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 5.098 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 5.098 * [backup-simplify]: Simplify 0 into 0 5.099 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 5.102 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 5.105 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 5.105 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 5.109 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))))) into 0 5.109 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0 5.113 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))))) into 0 5.113 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify (* (- (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 5.113 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 5.113 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 5.113 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 5.113 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 5.113 * [taylor]: Taking taylor expansion of (sin x) in x 5.113 * [taylor]: Taking taylor expansion of x in x 5.113 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify 1 into 1 5.113 * [taylor]: Taking taylor expansion of x in x 5.113 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify 1 into 1 5.114 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.114 * [backup-simplify]: Simplify (/ 1 1) into 1 5.115 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 5.115 * [taylor]: Taking taylor expansion of (sin x) in x 5.115 * [taylor]: Taking taylor expansion of x in x 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 1 into 1 5.115 * [taylor]: Taking taylor expansion of x in x 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 1 into 1 5.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.116 * [backup-simplify]: Simplify (/ 1 1) into 1 5.116 * [backup-simplify]: Simplify 1 into 1 5.116 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 5.117 * [backup-simplify]: Simplify 0 into 0 5.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 5.119 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 5.119 * [backup-simplify]: Simplify -1/6 into -1/6 5.120 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 5.120 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 5.123 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 5.123 * [backup-simplify]: Simplify 1/120 into 1/120 5.124 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) 5.124 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 5.124 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 5.124 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 5.124 * [taylor]: Taking taylor expansion of x in x 5.124 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify 1 into 1 5.124 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.124 * [taylor]: Taking taylor expansion of x in x 5.124 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify 1 into 1 5.124 * [backup-simplify]: Simplify (/ 1 1) into 1 5.124 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.124 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 5.124 * [taylor]: Taking taylor expansion of x in x 5.124 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify 1 into 1 5.124 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.124 * [taylor]: Taking taylor expansion of x in x 5.124 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify 1 into 1 5.125 * [backup-simplify]: Simplify (/ 1 1) into 1 5.125 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.125 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 5.125 * [backup-simplify]: Simplify 0 into 0 5.125 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 5.125 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 5.126 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 5.127 * [backup-simplify]: Simplify 0 into 0 5.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 5.128 * [backup-simplify]: Simplify 0 into 0 5.129 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 5.130 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 5.132 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 5.134 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 5.135 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 5.135 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 5.135 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 5.135 * [taylor]: Taking taylor expansion of -1 in x 5.135 * [backup-simplify]: Simplify -1 into -1 5.135 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 5.135 * [taylor]: Taking taylor expansion of x in x 5.135 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify 1 into 1 5.135 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.135 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.135 * [taylor]: Taking taylor expansion of -1 in x 5.135 * [backup-simplify]: Simplify -1 into -1 5.135 * [taylor]: Taking taylor expansion of x in x 5.135 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify 1 into 1 5.136 * [backup-simplify]: Simplify (/ -1 1) into -1 5.136 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.136 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 5.136 * [taylor]: Taking taylor expansion of -1 in x 5.136 * [backup-simplify]: Simplify -1 into -1 5.136 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 5.136 * [taylor]: Taking taylor expansion of x in x 5.136 * [backup-simplify]: Simplify 0 into 0 5.136 * [backup-simplify]: Simplify 1 into 1 5.136 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.136 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.136 * [taylor]: Taking taylor expansion of -1 in x 5.136 * [backup-simplify]: Simplify -1 into -1 5.136 * [taylor]: Taking taylor expansion of x in x 5.136 * [backup-simplify]: Simplify 0 into 0 5.136 * [backup-simplify]: Simplify 1 into 1 5.137 * [backup-simplify]: Simplify (/ -1 1) into -1 5.137 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.137 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 5.137 * [backup-simplify]: Simplify (* -1 0) into 0 5.137 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 5.138 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 5.138 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 5.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 5.139 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 5.139 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 5.140 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 5.142 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 5.142 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 5.145 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 5.145 * [backup-simplify]: Simplify 0 into 0 5.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 5.148 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 5.148 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 5.151 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 5.151 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 5.151 * * * * [progress]: [ 3 / 3 ] generating series at (2) 5.151 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 5.151 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 5.151 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 5.151 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 5.151 * [taylor]: Taking taylor expansion of (sin x) in x 5.151 * [taylor]: Taking taylor expansion of x in x 5.151 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify 1 into 1 5.151 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.152 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.152 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.152 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.152 * [taylor]: Taking taylor expansion of 1/2 in x 5.152 * [backup-simplify]: Simplify 1/2 into 1/2 5.152 * [taylor]: Taking taylor expansion of x in x 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 1 into 1 5.152 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.152 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.152 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.152 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.152 * [taylor]: Taking taylor expansion of 1/2 in x 5.152 * [backup-simplify]: Simplify 1/2 into 1/2 5.152 * [taylor]: Taking taylor expansion of x in x 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 1 into 1 5.153 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.153 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.157 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.158 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.158 * [taylor]: Taking taylor expansion of x in x 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify 1 into 1 5.158 * [backup-simplify]: Simplify (* 0 1/2) into 0 5.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.159 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.160 * [backup-simplify]: Simplify (+ 0) into 0 5.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.160 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.161 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 5.161 * [backup-simplify]: Simplify (* 1 1) into 1 5.162 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.162 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 5.162 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 5.162 * [taylor]: Taking taylor expansion of (sin x) in x 5.162 * [taylor]: Taking taylor expansion of x in x 5.162 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify 1 into 1 5.162 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.162 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.162 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.162 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.162 * [taylor]: Taking taylor expansion of 1/2 in x 5.162 * [backup-simplify]: Simplify 1/2 into 1/2 5.162 * [taylor]: Taking taylor expansion of x in x 5.162 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify 1 into 1 5.163 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.163 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.163 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.163 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.163 * [taylor]: Taking taylor expansion of 1/2 in x 5.163 * [backup-simplify]: Simplify 1/2 into 1/2 5.163 * [taylor]: Taking taylor expansion of x in x 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify 1 into 1 5.164 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.165 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.165 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.166 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.166 * [taylor]: Taking taylor expansion of x in x 5.166 * [backup-simplify]: Simplify 0 into 0 5.166 * [backup-simplify]: Simplify 1 into 1 5.166 * [backup-simplify]: Simplify (* 0 1/2) into 0 5.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.168 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.169 * [backup-simplify]: Simplify (+ 0) into 0 5.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.170 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.171 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 5.171 * [backup-simplify]: Simplify (* 1 1) into 1 5.172 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.172 * [backup-simplify]: Simplify 1/2 into 1/2 5.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.175 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 5.176 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 5.177 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 5.178 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.179 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 5.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.181 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.184 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.186 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 5.189 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 5.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 5.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.193 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 5.193 * [backup-simplify]: Simplify -1/24 into -1/24 5.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.198 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 5.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.203 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 5.205 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 5.207 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.209 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 5.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 5.211 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.217 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.221 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 5.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 5.230 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 5.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.233 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 5.233 * [backup-simplify]: Simplify 1/720 into 1/720 5.233 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 5.233 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 5.233 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 5.233 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 5.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.234 * [taylor]: Taking taylor expansion of x in x 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify 1 into 1 5.234 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 5.234 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.234 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.234 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.234 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.234 * [taylor]: Taking taylor expansion of 1/2 in x 5.234 * [backup-simplify]: Simplify 1/2 into 1/2 5.234 * [taylor]: Taking taylor expansion of x in x 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify 1 into 1 5.234 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.234 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.234 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.234 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.235 * [taylor]: Taking taylor expansion of 1/2 in x 5.235 * [backup-simplify]: Simplify 1/2 into 1/2 5.235 * [taylor]: Taking taylor expansion of x in x 5.235 * [backup-simplify]: Simplify 0 into 0 5.235 * [backup-simplify]: Simplify 1 into 1 5.235 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.235 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.235 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.235 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.235 * [taylor]: Taking taylor expansion of x in x 5.235 * [backup-simplify]: Simplify 0 into 0 5.235 * [backup-simplify]: Simplify 1 into 1 5.236 * [backup-simplify]: Simplify (/ 1 1) into 1 5.236 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.236 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 5.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.236 * [taylor]: Taking taylor expansion of x in x 5.236 * [backup-simplify]: Simplify 0 into 0 5.236 * [backup-simplify]: Simplify 1 into 1 5.236 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 5.236 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.236 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.236 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.236 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.236 * [taylor]: Taking taylor expansion of 1/2 in x 5.236 * [backup-simplify]: Simplify 1/2 into 1/2 5.236 * [taylor]: Taking taylor expansion of x in x 5.236 * [backup-simplify]: Simplify 0 into 0 5.236 * [backup-simplify]: Simplify 1 into 1 5.237 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.237 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.237 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.237 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.237 * [taylor]: Taking taylor expansion of 1/2 in x 5.237 * [backup-simplify]: Simplify 1/2 into 1/2 5.237 * [taylor]: Taking taylor expansion of x in x 5.237 * [backup-simplify]: Simplify 0 into 0 5.237 * [backup-simplify]: Simplify 1 into 1 5.237 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.238 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.238 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.238 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.238 * [taylor]: Taking taylor expansion of x in x 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify 1 into 1 5.238 * [backup-simplify]: Simplify (/ 1 1) into 1 5.238 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.239 * [backup-simplify]: Simplify (* 1 1) into 1 5.239 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5.239 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5.239 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5.240 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 5.240 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 5.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 5.241 * [backup-simplify]: Simplify 0 into 0 5.241 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.242 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 5.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 5.244 * [backup-simplify]: Simplify 0 into 0 5.244 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.245 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 5.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 5.248 * [backup-simplify]: Simplify 0 into 0 5.248 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.250 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 5.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 5.253 * [backup-simplify]: Simplify 0 into 0 5.253 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.255 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 5.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 5.259 * [backup-simplify]: Simplify 0 into 0 5.259 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.262 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 5.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 5.267 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) 5.267 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 5.267 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 5.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.267 * [taylor]: Taking taylor expansion of x in x 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify 1 into 1 5.267 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 5.267 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.267 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.267 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.267 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.267 * [taylor]: Taking taylor expansion of -1/2 in x 5.267 * [backup-simplify]: Simplify -1/2 into -1/2 5.267 * [taylor]: Taking taylor expansion of x in x 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify 1 into 1 5.268 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.268 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.268 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.268 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.268 * [taylor]: Taking taylor expansion of -1/2 in x 5.268 * [backup-simplify]: Simplify -1/2 into -1/2 5.268 * [taylor]: Taking taylor expansion of x in x 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify 1 into 1 5.268 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.269 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.269 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.269 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.269 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.269 * [taylor]: Taking taylor expansion of -1 in x 5.269 * [backup-simplify]: Simplify -1 into -1 5.269 * [taylor]: Taking taylor expansion of x in x 5.269 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify 1 into 1 5.269 * [backup-simplify]: Simplify (/ -1 1) into -1 5.269 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.269 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 5.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.269 * [taylor]: Taking taylor expansion of x in x 5.270 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify 1 into 1 5.270 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 5.270 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.270 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.270 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.270 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.270 * [taylor]: Taking taylor expansion of -1/2 in x 5.270 * [backup-simplify]: Simplify -1/2 into -1/2 5.270 * [taylor]: Taking taylor expansion of x in x 5.270 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify 1 into 1 5.270 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.270 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.270 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.270 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.270 * [taylor]: Taking taylor expansion of -1/2 in x 5.270 * [backup-simplify]: Simplify -1/2 into -1/2 5.270 * [taylor]: Taking taylor expansion of x in x 5.271 * [backup-simplify]: Simplify 0 into 0 5.271 * [backup-simplify]: Simplify 1 into 1 5.271 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.271 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.271 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.271 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.271 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.271 * [taylor]: Taking taylor expansion of -1 in x 5.271 * [backup-simplify]: Simplify -1 into -1 5.271 * [taylor]: Taking taylor expansion of x in x 5.271 * [backup-simplify]: Simplify 0 into 0 5.271 * [backup-simplify]: Simplify 1 into 1 5.272 * [backup-simplify]: Simplify (/ -1 1) into -1 5.272 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.272 * [backup-simplify]: Simplify (* 1 1) into 1 5.273 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5.273 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5.273 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5.273 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 5.273 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 5.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 5.275 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.276 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 5.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 5.278 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.279 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 5.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 5.282 * [backup-simplify]: Simplify 0 into 0 5.282 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.284 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 5.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 5.287 * [backup-simplify]: Simplify 0 into 0 5.287 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.289 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 5.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 5.293 * [backup-simplify]: Simplify 0 into 0 5.294 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.296 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 5.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 5.305 * [backup-simplify]: Simplify 0 into 0 5.305 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 5.305 * * * [progress]: simplifying candidates 5.305 * * * * [progress]: [ 1 / 123 ] simplifiying candidate # 5.305 * * * * [progress]: [ 2 / 123 ] simplifiying candidate # 5.305 * * * * [progress]: [ 3 / 123 ] simplifiying candidate # 5.305 * * * * [progress]: [ 4 / 123 ] simplifiying candidate # 5.306 * * * * [progress]: [ 5 / 123 ] simplifiying candidate # 5.306 * * * * [progress]: [ 6 / 123 ] simplifiying candidate # 5.306 * * * * [progress]: [ 7 / 123 ] simplifiying candidate # 5.306 * * * * [progress]: [ 8 / 123 ] simplifiying candidate # 5.306 * * * * [progress]: [ 9 / 123 ] simplifiying candidate # 5.306 * * * * [progress]: [ 10 / 123 ] simplifiying candidate # 5.306 * * * * [progress]: [ 11 / 123 ] simplifiying candidate # 5.306 * * * * [progress]: [ 12 / 123 ] simplifiying candidate # 5.306 * * * * [progress]: [ 13 / 123 ] simplifiying candidate # 5.306 * * * * [progress]: [ 14 / 123 ] simplifiying candidate # 5.306 * * * * [progress]: [ 15 / 123 ] simplifiying candidate # 5.306 * * * * [progress]: [ 16 / 123 ] simplifiying candidate # 5.306 * * * * [progress]: [ 17 / 123 ] simplifiying candidate # 5.306 * * * * [progress]: [ 18 / 123 ] simplifiying candidate # 5.306 * * * * [progress]: [ 19 / 123 ] simplifiying candidate # 5.306 * * * * [progress]: [ 20 / 123 ] simplifiying candidate # 5.307 * * * * [progress]: [ 21 / 123 ] simplifiying candidate # 5.307 * * * * [progress]: [ 22 / 123 ] simplifiying candidate # 5.307 * * * * [progress]: [ 23 / 123 ] simplifiying candidate # 5.307 * * * * [progress]: [ 24 / 123 ] simplifiying candidate # 5.307 * * * * [progress]: [ 25 / 123 ] simplifiying candidate # 5.307 * * * * [progress]: [ 26 / 123 ] simplifiying candidate # 5.307 * * * * [progress]: [ 27 / 123 ] simplifiying candidate # 5.307 * * * * [progress]: [ 28 / 123 ] simplifiying candidate # 5.307 * * * * [progress]: [ 29 / 123 ] simplifiying candidate # 5.307 * * * * [progress]: [ 30 / 123 ] simplifiying candidate # 5.307 * * * * [progress]: [ 31 / 123 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))))> 5.307 * * * * [progress]: [ 32 / 123 ] simplifiying candidate # 5.307 * * * * [progress]: [ 33 / 123 ] simplifiying candidate # 5.307 * * * * [progress]: [ 34 / 123 ] simplifiying candidate # 5.307 * * * * [progress]: [ 35 / 123 ] simplifiying candidate # 5.307 * * * * [progress]: [ 36 / 123 ] simplifiying candidate # 5.307 * * * * [progress]: [ 37 / 123 ] simplifiying candidate # 5.308 * * * * [progress]: [ 38 / 123 ] simplifiying candidate # 5.308 * * * * [progress]: [ 39 / 123 ] simplifiying candidate # 5.308 * * * * [progress]: [ 40 / 123 ] simplifiying candidate # 5.308 * * * * [progress]: [ 41 / 123 ] simplifiying candidate # 5.308 * * * * [progress]: [ 42 / 123 ] simplifiying candidate # 5.308 * * * * [progress]: [ 43 / 123 ] simplifiying candidate # 5.308 * * * * [progress]: [ 44 / 123 ] simplifiying candidate # 5.308 * * * * [progress]: [ 45 / 123 ] simplifiying candidate # 5.308 * * * * [progress]: [ 46 / 123 ] simplifiying candidate # 5.308 * * * * [progress]: [ 47 / 123 ] simplifiying candidate # 5.308 * * * * [progress]: [ 48 / 123 ] simplifiying candidate # 5.308 * * * * [progress]: [ 49 / 123 ] simplifiying candidate # 5.308 * * * * [progress]: [ 50 / 123 ] simplifiying candidate # 5.308 * * * * [progress]: [ 51 / 123 ] simplifiying candidate # 5.308 * * * * [progress]: [ 52 / 123 ] simplifiying candidate # 5.308 * * * * [progress]: [ 53 / 123 ] simplifiying candidate # 5.308 * * * * [progress]: [ 54 / 123 ] simplifiying candidate # 5.309 * * * * [progress]: [ 55 / 123 ] simplifiying candidate # 5.309 * * * * [progress]: [ 56 / 123 ] simplifiying candidate # 5.309 * * * * [progress]: [ 57 / 123 ] simplifiying candidate # 5.309 * * * * [progress]: [ 58 / 123 ] simplifiying candidate # 5.309 * * * * [progress]: [ 59 / 123 ] simplifiying candidate # 5.309 * * * * [progress]: [ 60 / 123 ] simplifiying candidate # 5.309 * * * * [progress]: [ 61 / 123 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))> 5.309 * * * * [progress]: [ 62 / 123 ] simplifiying candidate # 5.309 * * * * [progress]: [ 63 / 123 ] simplifiying candidate # 5.309 * * * * [progress]: [ 64 / 123 ] simplifiying candidate # 5.309 * * * * [progress]: [ 65 / 123 ] simplifiying candidate # 5.309 * * * * [progress]: [ 66 / 123 ] simplifiying candidate # 5.309 * * * * [progress]: [ 67 / 123 ] simplifiying candidate # 5.309 * * * * [progress]: [ 68 / 123 ] simplifiying candidate # 5.309 * * * * [progress]: [ 69 / 123 ] simplifiying candidate # 5.309 * * * * [progress]: [ 70 / 123 ] simplifiying candidate # 5.310 * * * * [progress]: [ 71 / 123 ] simplifiying candidate # 5.310 * * * * [progress]: [ 72 / 123 ] simplifiying candidate # 5.310 * * * * [progress]: [ 73 / 123 ] simplifiying candidate # 5.310 * * * * [progress]: [ 74 / 123 ] simplifiying candidate # 5.310 * * * * [progress]: [ 75 / 123 ] simplifiying candidate # 5.310 * * * * [progress]: [ 76 / 123 ] simplifiying candidate # 5.310 * * * * [progress]: [ 77 / 123 ] simplifiying candidate # 5.310 * * * * [progress]: [ 78 / 123 ] simplifiying candidate # 5.310 * * * * [progress]: [ 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5.311 * * * * [progress]: [ 95 / 123 ] simplifiying candidate # 5.311 * * * * [progress]: [ 96 / 123 ] simplifiying candidate # 5.311 * * * * [progress]: [ 97 / 123 ] simplifiying candidate # 5.311 * * * * [progress]: [ 98 / 123 ] simplifiying candidate # 5.311 * * * * [progress]: [ 99 / 123 ] simplifiying candidate # 5.311 * * * * [progress]: [ 100 / 123 ] simplifiying candidate # 5.311 * * * * [progress]: [ 101 / 123 ] simplifiying candidate # 5.312 * * * * [progress]: [ 102 / 123 ] simplifiying candidate # 5.312 * * * * [progress]: [ 103 / 123 ] simplifiying candidate # 5.312 * * * * [progress]: [ 104 / 123 ] simplifiying candidate # 5.312 * * * * [progress]: [ 105 / 123 ] simplifiying candidate # 5.312 * * * * [progress]: [ 106 / 123 ] simplifiying candidate # 5.312 * * * * [progress]: [ 107 / 123 ] simplifiying candidate # 5.312 * * * * [progress]: [ 108 / 123 ] simplifiying candidate # 5.312 * * * * [progress]: [ 109 / 123 ] simplifiying candidate # 5.312 * * * * [progress]: [ 110 / 123 ] simplifiying candidate # 5.312 * * * * [progress]: [ 111 / 123 ] simplifiying candidate # 5.312 * * * * [progress]: [ 112 / 123 ] simplifiying candidate # 5.312 * * * * [progress]: [ 113 / 123 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))> 5.312 * * * * [progress]: [ 114 / 123 ] simplifiying candidate # 5.312 * * * * [progress]: [ 115 / 123 ] simplifiying candidate # 5.312 * * * * [progress]: [ 116 / 123 ] simplifiying candidate # 5.312 * * * * [progress]: [ 117 / 123 ] simplifiying candidate # 5.313 * * * * [progress]: [ 118 / 123 ] simplifiying candidate # 5.313 * * * * [progress]: [ 119 / 123 ] simplifiying candidate # 5.313 * * * * [progress]: [ 120 / 123 ] simplifiying candidate # 5.313 * * * * [progress]: [ 121 / 123 ] simplifiying candidate # 5.313 * * * * [progress]: [ 122 / 123 ] simplifiying candidate # 5.313 * * * * [progress]: [ 123 / 123 ] simplifiying candidate # 5.315 * [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))) 5.318 * * [simplify]: iteration 0: 172 enodes 5.371 * * [simplify]: iteration 1: 453 enodes 5.643 * * [simplify]: iteration 2: 1627 enodes 6.025 * * [simplify]: iteration 3: 2004 enodes 6.433 * * [simplify]: iteration complete: 2004 enodes 6.433 * * [simplify]: Extracting #0: cost 107 inf + 0 6.435 * * [simplify]: Extracting #1: cost 559 inf + 1 6.440 * * [simplify]: Extracting #2: cost 715 inf + 4543 6.456 * * [simplify]: Extracting #3: cost 403 inf + 83826 6.495 * * [simplify]: Extracting #4: cost 62 inf + 191414 6.538 * * [simplify]: Extracting #5: cost 0 inf + 209987 6.575 * [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 (tan (/ x 2)))) (sqrt x)) (sqrt x)) (/ (/ (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) (sqrt x)) (sqrt x)) (* (* (/ (sin x) x) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x))) (/ (* (sqrt (/ (tan (/ x 2)) x)) (sin x)) x) (/ (* (* (sin x) (/ (cbrt (tan (/ x 2))) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x))) x) (* (/ (cbrt (tan (/ x 2))) (/ (sqrt x) (cbrt (tan (/ x 2))))) (/ (sin x) x)) (* (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (sin x) x)) (/ (/ (sin x) x) (/ (* (cbrt x) (cbrt x)) (sqrt (tan (/ x 2))))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sin x) x)) (/ (sin x) (/ x (sqrt (tan (/ x 2))))) (/ (/ (/ (sin x) (cbrt x)) (cbrt x)) x) (/ (/ (sin x) (sqrt x)) 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)) (/ (/ (cbrt (sin x)) (cbrt x)) (/ x (tan (/ x 2)))) (* (/ (cbrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (/ (/ (cbrt (sin x)) x) (/ x (tan (/ x 2)))) (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) (cbrt x))) (/ (* (tan (/ x 2)) (/ (sqrt (sin x)) (sqrt x))) x) (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) x)) (/ (/ (sin x) (cbrt x)) (/ x (tan (/ x 2)))) (/ (/ (sin x) (sqrt x)) (/ x (tan (/ x 2)))) (* (/ (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 1/24 (* x x) (fma 1/240 (* (* x x) (* x x)) 1/2)) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (fma (* x x) -1/6 (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))) 6.581 * * * [progress]: adding candidates to table 7.552 * * [progress]: iteration 4 / 4 7.552 * * * [progress]: picking best candidate 7.581 * * * * [pick]: Picked # 7.581 * * * [progress]: localizing error 7.613 * * * [progress]: generating rewritten candidates 7.613 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 7.642 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 7.653 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 7.671 * * * [progress]: generating series expansions 7.671 * * * * [progress]: [ 1 / 3 ] generating series at (2) 7.672 * [backup-simplify]: Simplify (* (sin x) (/ (/ (tan (/ x 2)) x) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 7.672 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 7.672 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 7.672 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 7.672 * [taylor]: Taking taylor expansion of (sin x) in x 7.672 * [taylor]: Taking taylor expansion of x in x 7.672 * [backup-simplify]: Simplify 0 into 0 7.672 * [backup-simplify]: Simplify 1 into 1 7.672 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.672 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.672 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.672 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.672 * [taylor]: Taking taylor expansion of 1/2 in x 7.672 * [backup-simplify]: Simplify 1/2 into 1/2 7.672 * [taylor]: Taking taylor expansion of x in x 7.672 * [backup-simplify]: Simplify 0 into 0 7.672 * [backup-simplify]: Simplify 1 into 1 7.673 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.674 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.674 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.674 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.674 * [taylor]: Taking taylor expansion of 1/2 in x 7.674 * [backup-simplify]: Simplify 1/2 into 1/2 7.674 * [taylor]: Taking taylor expansion of x in x 7.674 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify 1 into 1 7.674 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.675 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.676 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.676 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.676 * [taylor]: Taking taylor expansion of x in x 7.676 * [backup-simplify]: Simplify 0 into 0 7.676 * [backup-simplify]: Simplify 1 into 1 7.676 * [backup-simplify]: Simplify (* 0 1/2) into 0 7.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.684 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.684 * [backup-simplify]: Simplify (+ 0) into 0 7.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.686 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 7.686 * [backup-simplify]: Simplify (* 1 1) into 1 7.687 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.687 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 7.687 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 7.687 * [taylor]: Taking taylor expansion of (sin x) in x 7.687 * [taylor]: Taking taylor expansion of x in x 7.687 * [backup-simplify]: Simplify 0 into 0 7.687 * [backup-simplify]: Simplify 1 into 1 7.687 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.687 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.687 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.687 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.687 * [taylor]: Taking taylor expansion of 1/2 in x 7.687 * [backup-simplify]: Simplify 1/2 into 1/2 7.687 * [taylor]: Taking taylor expansion of x in x 7.687 * [backup-simplify]: Simplify 0 into 0 7.687 * [backup-simplify]: Simplify 1 into 1 7.688 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.688 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.688 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.688 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.688 * [taylor]: Taking taylor expansion of 1/2 in x 7.688 * [backup-simplify]: Simplify 1/2 into 1/2 7.688 * [taylor]: Taking taylor expansion of x in x 7.689 * [backup-simplify]: Simplify 0 into 0 7.689 * [backup-simplify]: Simplify 1 into 1 7.689 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.690 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.690 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.691 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.691 * [taylor]: Taking taylor expansion of x in x 7.691 * [backup-simplify]: Simplify 0 into 0 7.691 * [backup-simplify]: Simplify 1 into 1 7.691 * [backup-simplify]: Simplify (* 0 1/2) into 0 7.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.692 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.692 * [backup-simplify]: Simplify (+ 0) into 0 7.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.693 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.694 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 7.694 * [backup-simplify]: Simplify (* 1 1) into 1 7.694 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.694 * [backup-simplify]: Simplify 1/2 into 1/2 7.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.696 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 7.697 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 7.698 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 7.698 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.699 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 7.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.701 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.703 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 7.704 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 7.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.707 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 7.707 * [backup-simplify]: Simplify -1/24 into -1/24 7.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.709 * [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 7.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.712 * [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 7.713 * [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 7.714 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.715 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 7.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 7.716 * [backup-simplify]: Simplify 0 into 0 7.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.720 * [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 7.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.722 * [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 7.723 * [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 7.725 * [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 7.726 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 7.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.728 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 7.728 * [backup-simplify]: Simplify 1/720 into 1/720 7.728 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 7.728 * [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))) 7.728 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in (x) around 0 7.728 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in x 7.728 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.728 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.728 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.728 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.728 * [taylor]: Taking taylor expansion of 1/2 in x 7.728 * [backup-simplify]: Simplify 1/2 into 1/2 7.728 * [taylor]: Taking taylor expansion of x in x 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.729 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.729 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.729 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.729 * [taylor]: Taking taylor expansion of 1/2 in x 7.729 * [backup-simplify]: Simplify 1/2 into 1/2 7.729 * [taylor]: Taking taylor expansion of x in x 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.729 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.729 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.729 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (pow x 2)) in x 7.729 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.729 * [taylor]: Taking taylor expansion of x in x 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify 1 into 1 7.730 * [backup-simplify]: Simplify (/ 1 1) into 1 7.730 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.730 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.730 * [taylor]: Taking taylor expansion of x in x 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 1 into 1 7.730 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in x 7.730 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.730 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.730 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.730 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.730 * [taylor]: Taking taylor expansion of 1/2 in x 7.730 * [backup-simplify]: Simplify 1/2 into 1/2 7.730 * [taylor]: Taking taylor expansion of x in x 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 1 into 1 7.730 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.730 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.730 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.730 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.730 * [taylor]: Taking taylor expansion of 1/2 in x 7.730 * [backup-simplify]: Simplify 1/2 into 1/2 7.730 * [taylor]: Taking taylor expansion of x in x 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 1 into 1 7.731 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.731 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.731 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.731 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (pow x 2)) in x 7.731 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.731 * [taylor]: Taking taylor expansion of x in x 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 1 into 1 7.731 * [backup-simplify]: Simplify (/ 1 1) into 1 7.731 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.731 * [taylor]: Taking taylor expansion of x in x 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 1 into 1 7.731 * [backup-simplify]: Simplify (* 1 1) into 1 7.732 * [backup-simplify]: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) 7.732 * [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))) 7.732 * [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))) 7.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.732 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 7.733 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 7.733 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.734 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 7.734 * [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 7.734 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 7.734 * [backup-simplify]: Simplify 0 into 0 7.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.735 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.736 * [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 7.736 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 7.736 * [backup-simplify]: Simplify 0 into 0 7.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.738 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.738 * [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 7.740 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 7.740 * [backup-simplify]: Simplify 0 into 0 7.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.742 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.742 * [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 7.744 * [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 7.744 * [backup-simplify]: Simplify 0 into 0 7.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.747 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.747 * [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 7.749 * [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 7.749 * [backup-simplify]: Simplify 0 into 0 7.749 * [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))) 7.750 * [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)))) 7.750 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 7.750 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 7.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.750 * [taylor]: Taking taylor expansion of x in x 7.750 * [backup-simplify]: Simplify 0 into 0 7.750 * [backup-simplify]: Simplify 1 into 1 7.750 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 7.750 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.750 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.750 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.750 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.750 * [taylor]: Taking taylor expansion of -1/2 in x 7.750 * [backup-simplify]: Simplify -1/2 into -1/2 7.750 * [taylor]: Taking taylor expansion of x in x 7.750 * [backup-simplify]: Simplify 0 into 0 7.750 * [backup-simplify]: Simplify 1 into 1 7.750 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.751 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.751 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.751 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.751 * [taylor]: Taking taylor expansion of -1/2 in x 7.751 * [backup-simplify]: Simplify -1/2 into -1/2 7.751 * [taylor]: Taking taylor expansion of x in x 7.751 * [backup-simplify]: Simplify 0 into 0 7.751 * [backup-simplify]: Simplify 1 into 1 7.751 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.751 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.751 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.751 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.751 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.751 * [taylor]: Taking taylor expansion of -1 in x 7.751 * [backup-simplify]: Simplify -1 into -1 7.751 * [taylor]: Taking taylor expansion of x in x 7.751 * [backup-simplify]: Simplify 0 into 0 7.751 * [backup-simplify]: Simplify 1 into 1 7.752 * [backup-simplify]: Simplify (/ -1 1) into -1 7.752 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.752 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 7.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.752 * [taylor]: Taking taylor expansion of x in x 7.752 * [backup-simplify]: Simplify 0 into 0 7.752 * [backup-simplify]: Simplify 1 into 1 7.752 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 7.752 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.752 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.752 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.752 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.752 * [taylor]: Taking taylor expansion of -1/2 in x 7.752 * [backup-simplify]: Simplify -1/2 into -1/2 7.752 * [taylor]: Taking taylor expansion of x in x 7.752 * [backup-simplify]: Simplify 0 into 0 7.752 * [backup-simplify]: Simplify 1 into 1 7.753 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.753 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.753 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.753 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.753 * [taylor]: Taking taylor expansion of -1/2 in x 7.753 * [backup-simplify]: Simplify -1/2 into -1/2 7.753 * [taylor]: Taking taylor expansion of x in x 7.753 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify 1 into 1 7.753 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.754 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.754 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.754 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.754 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.754 * [taylor]: Taking taylor expansion of -1 in x 7.754 * [backup-simplify]: Simplify -1 into -1 7.754 * [taylor]: Taking taylor expansion of x in x 7.754 * [backup-simplify]: Simplify 0 into 0 7.754 * [backup-simplify]: Simplify 1 into 1 7.754 * [backup-simplify]: Simplify (/ -1 1) into -1 7.754 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.755 * [backup-simplify]: Simplify (* 1 1) into 1 7.755 * [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))) 7.755 * [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))) 7.755 * [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))) 7.756 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 7.756 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 7.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 7.757 * [backup-simplify]: Simplify 0 into 0 7.757 * [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 7.758 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 7.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 7.760 * [backup-simplify]: Simplify 0 into 0 7.760 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.761 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 7.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 7.763 * [backup-simplify]: Simplify 0 into 0 7.763 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.765 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 7.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.767 * [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 7.767 * [backup-simplify]: Simplify 0 into 0 7.768 * [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 7.769 * [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 7.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.772 * [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 7.772 * [backup-simplify]: Simplify 0 into 0 7.773 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.775 * [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 7.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.779 * [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 7.779 * [backup-simplify]: Simplify 0 into 0 7.780 * [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))) 7.780 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 7.780 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 7.780 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 7.780 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 7.780 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.780 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.780 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.780 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.780 * [taylor]: Taking taylor expansion of 1/2 in x 7.780 * [backup-simplify]: Simplify 1/2 into 1/2 7.780 * [taylor]: Taking taylor expansion of x in x 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 1 into 1 7.781 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.781 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.781 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.781 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.781 * [taylor]: Taking taylor expansion of 1/2 in x 7.782 * [backup-simplify]: Simplify 1/2 into 1/2 7.782 * [taylor]: Taking taylor expansion of x in x 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 1 into 1 7.782 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.783 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.789 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.789 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.789 * [taylor]: Taking taylor expansion of x in x 7.789 * [backup-simplify]: Simplify 0 into 0 7.789 * [backup-simplify]: Simplify 1 into 1 7.790 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.790 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 7.790 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.790 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.790 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.790 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.790 * [taylor]: Taking taylor expansion of 1/2 in x 7.790 * [backup-simplify]: Simplify 1/2 into 1/2 7.790 * [taylor]: Taking taylor expansion of x in x 7.790 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify 1 into 1 7.790 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.791 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.791 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.791 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.791 * [taylor]: Taking taylor expansion of 1/2 in x 7.791 * [backup-simplify]: Simplify 1/2 into 1/2 7.791 * [taylor]: Taking taylor expansion of x in x 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [backup-simplify]: Simplify 1 into 1 7.791 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.791 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.792 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.792 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.792 * [taylor]: Taking taylor expansion of x in x 7.792 * [backup-simplify]: Simplify 0 into 0 7.792 * [backup-simplify]: Simplify 1 into 1 7.792 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.793 * [backup-simplify]: Simplify 1/2 into 1/2 7.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.794 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.794 * [backup-simplify]: Simplify (+ 0) into 0 7.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.795 * [backup-simplify]: Simplify 0 into 0 7.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.798 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 7.799 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 7.800 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 7.801 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 7.801 * [backup-simplify]: Simplify 1/24 into 1/24 7.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.804 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.806 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 7.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 7.808 * [backup-simplify]: Simplify 0 into 0 7.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.813 * [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 7.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.817 * [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 7.819 * [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 7.820 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 7.820 * [backup-simplify]: Simplify 1/240 into 1/240 7.821 * [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)) 7.821 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 7.821 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 7.821 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 7.821 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.821 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.821 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.821 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.821 * [taylor]: Taking taylor expansion of 1/2 in x 7.821 * [backup-simplify]: Simplify 1/2 into 1/2 7.821 * [taylor]: Taking taylor expansion of x in x 7.821 * [backup-simplify]: Simplify 0 into 0 7.821 * [backup-simplify]: Simplify 1 into 1 7.822 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.822 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.822 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.822 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.822 * [taylor]: Taking taylor expansion of 1/2 in x 7.822 * [backup-simplify]: Simplify 1/2 into 1/2 7.822 * [taylor]: Taking taylor expansion of x in x 7.822 * [backup-simplify]: Simplify 0 into 0 7.822 * [backup-simplify]: Simplify 1 into 1 7.822 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.822 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.822 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.822 * [taylor]: Taking taylor expansion of x in x 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify 1 into 1 7.823 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 7.823 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.823 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.823 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.823 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.823 * [taylor]: Taking taylor expansion of 1/2 in x 7.823 * [backup-simplify]: Simplify 1/2 into 1/2 7.823 * [taylor]: Taking taylor expansion of x in x 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify 1 into 1 7.823 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.823 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.823 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.823 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.823 * [taylor]: Taking taylor expansion of 1/2 in x 7.823 * [backup-simplify]: Simplify 1/2 into 1/2 7.823 * [taylor]: Taking taylor expansion of x in x 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify 1 into 1 7.824 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.824 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.824 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.824 * [taylor]: Taking taylor expansion of x in x 7.824 * [backup-simplify]: Simplify 0 into 0 7.824 * [backup-simplify]: Simplify 1 into 1 7.824 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 7.824 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 7.826 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.826 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.826 * [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 7.827 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 7.827 * [backup-simplify]: Simplify 0 into 0 7.828 * [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 7.829 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [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 7.830 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.830 * [backup-simplify]: Simplify 0 into 0 7.831 * [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 7.832 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.832 * [backup-simplify]: Simplify 0 into 0 7.832 * [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 7.834 * [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 7.834 * [backup-simplify]: Simplify 0 into 0 7.834 * [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 7.836 * [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 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [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)) 7.836 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 7.836 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 7.836 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 7.836 * [taylor]: Taking taylor expansion of -1 in x 7.836 * [backup-simplify]: Simplify -1 into -1 7.836 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 7.836 * [taylor]: Taking taylor expansion of x in x 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify 1 into 1 7.836 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.836 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.836 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.836 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.836 * [taylor]: Taking taylor expansion of -1/2 in x 7.836 * [backup-simplify]: Simplify -1/2 into -1/2 7.836 * [taylor]: Taking taylor expansion of x in x 7.837 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify 1 into 1 7.837 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.837 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.837 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.837 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.837 * [taylor]: Taking taylor expansion of -1/2 in x 7.837 * [backup-simplify]: Simplify -1/2 into -1/2 7.837 * [taylor]: Taking taylor expansion of x in x 7.837 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify 1 into 1 7.838 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.838 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.838 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.838 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 7.838 * [taylor]: Taking taylor expansion of -1 in x 7.838 * [backup-simplify]: Simplify -1 into -1 7.838 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 7.838 * [taylor]: Taking taylor expansion of x in x 7.838 * [backup-simplify]: Simplify 0 into 0 7.838 * [backup-simplify]: Simplify 1 into 1 7.838 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.838 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.838 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.838 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.838 * [taylor]: Taking taylor expansion of -1/2 in x 7.838 * [backup-simplify]: Simplify -1/2 into -1/2 7.838 * [taylor]: Taking taylor expansion of x in x 7.838 * [backup-simplify]: Simplify 0 into 0 7.838 * [backup-simplify]: Simplify 1 into 1 7.839 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.839 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.839 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.839 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.839 * [taylor]: Taking taylor expansion of -1/2 in x 7.839 * [backup-simplify]: Simplify -1/2 into -1/2 7.839 * [taylor]: Taking taylor expansion of x in x 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 1 into 1 7.839 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.839 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.839 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.840 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 7.840 * [backup-simplify]: Simplify (* -1 0) into 0 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 7.841 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.841 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 7.842 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 7.842 * [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 7.843 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 7.844 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 7.844 * [backup-simplify]: Simplify 0 into 0 7.844 * [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 7.845 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 7.847 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 7.847 * [backup-simplify]: Simplify 0 into 0 7.847 * [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 7.849 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 7.850 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 7.850 * [backup-simplify]: Simplify 0 into 0 7.851 * [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 7.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 7.854 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 7.854 * [backup-simplify]: Simplify 0 into 0 7.855 * [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 7.857 * [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 7.859 * [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 7.859 * [backup-simplify]: Simplify 0 into 0 7.860 * [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 7.862 * [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 7.864 * [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 7.864 * [backup-simplify]: Simplify 0 into 0 7.865 * [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)) 7.865 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 7.865 * [backup-simplify]: Simplify (/ (/ (tan (/ x 2)) x) x) into (/ (tan (* 1/2 x)) (pow x 2)) 7.865 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) (pow x 2)) in (x) around 0 7.865 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) (pow x 2)) in x 7.865 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.865 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.865 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.865 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.865 * [taylor]: Taking taylor expansion of 1/2 in x 7.865 * [backup-simplify]: Simplify 1/2 into 1/2 7.865 * [taylor]: Taking taylor expansion of x in x 7.865 * [backup-simplify]: Simplify 0 into 0 7.865 * [backup-simplify]: Simplify 1 into 1 7.866 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.866 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.866 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.866 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.866 * [taylor]: Taking taylor expansion of 1/2 in x 7.866 * [backup-simplify]: Simplify 1/2 into 1/2 7.867 * [taylor]: Taking taylor expansion of x in x 7.867 * [backup-simplify]: Simplify 0 into 0 7.867 * [backup-simplify]: Simplify 1 into 1 7.867 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.868 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.868 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.869 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.869 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.869 * [taylor]: Taking taylor expansion of x in x 7.869 * [backup-simplify]: Simplify 0 into 0 7.869 * [backup-simplify]: Simplify 1 into 1 7.869 * [backup-simplify]: Simplify (* 1 1) into 1 7.870 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.870 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) (pow x 2)) in x 7.870 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.870 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.870 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.870 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.870 * [taylor]: Taking taylor expansion of 1/2 in x 7.870 * [backup-simplify]: Simplify 1/2 into 1/2 7.870 * [taylor]: Taking taylor expansion of x in x 7.870 * [backup-simplify]: Simplify 0 into 0 7.870 * [backup-simplify]: Simplify 1 into 1 7.871 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.871 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.871 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.871 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.871 * [taylor]: Taking taylor expansion of 1/2 in x 7.871 * [backup-simplify]: Simplify 1/2 into 1/2 7.871 * [taylor]: Taking taylor expansion of x in x 7.871 * [backup-simplify]: Simplify 0 into 0 7.871 * [backup-simplify]: Simplify 1 into 1 7.872 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.873 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.873 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.874 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.874 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.874 * [taylor]: Taking taylor expansion of x in x 7.874 * [backup-simplify]: Simplify 0 into 0 7.874 * [backup-simplify]: Simplify 1 into 1 7.874 * [backup-simplify]: Simplify (* 1 1) into 1 7.875 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.875 * [backup-simplify]: Simplify 1/2 into 1/2 7.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.877 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.877 * [backup-simplify]: Simplify (+ 0) into 0 7.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.879 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.882 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 7.883 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 7.884 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 7.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.886 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 7.886 * [backup-simplify]: Simplify 1/24 into 1/24 7.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.889 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.891 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 7.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 7.896 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.901 * [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 7.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.905 * [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 7.907 * [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 7.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.909 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 7.909 * [backup-simplify]: Simplify 1/240 into 1/240 7.910 * [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)))) 7.910 * [backup-simplify]: Simplify (/ (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) (/ 1 x)) into (* (tan (/ 1/2 x)) (pow x 2)) 7.910 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) (pow x 2)) in (x) around 0 7.910 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (pow x 2)) in x 7.910 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.910 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.910 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.910 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.910 * [taylor]: Taking taylor expansion of 1/2 in x 7.910 * [backup-simplify]: Simplify 1/2 into 1/2 7.910 * [taylor]: Taking taylor expansion of x in x 7.910 * [backup-simplify]: Simplify 0 into 0 7.910 * [backup-simplify]: Simplify 1 into 1 7.910 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.910 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.910 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.910 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.910 * [taylor]: Taking taylor expansion of 1/2 in x 7.910 * [backup-simplify]: Simplify 1/2 into 1/2 7.910 * [taylor]: Taking taylor expansion of x in x 7.910 * [backup-simplify]: Simplify 0 into 0 7.910 * [backup-simplify]: Simplify 1 into 1 7.911 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.911 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.911 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.911 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.911 * [taylor]: Taking taylor expansion of x in x 7.911 * [backup-simplify]: Simplify 0 into 0 7.911 * [backup-simplify]: Simplify 1 into 1 7.911 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (pow x 2)) in x 7.911 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.911 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.911 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.911 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.911 * [taylor]: Taking taylor expansion of 1/2 in x 7.911 * [backup-simplify]: Simplify 1/2 into 1/2 7.911 * [taylor]: Taking taylor expansion of x in x 7.911 * [backup-simplify]: Simplify 0 into 0 7.911 * [backup-simplify]: Simplify 1 into 1 7.911 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.911 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.911 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.911 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.911 * [taylor]: Taking taylor expansion of 1/2 in x 7.911 * [backup-simplify]: Simplify 1/2 into 1/2 7.912 * [taylor]: Taking taylor expansion of x in x 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify 1 into 1 7.912 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.912 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.912 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.912 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.912 * [taylor]: Taking taylor expansion of x in x 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify 1 into 1 7.912 * [backup-simplify]: Simplify (* 1 1) into 1 7.912 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.912 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.913 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 7.913 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 1)) into 0 7.913 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.914 * [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 7.915 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 1))) into 0 7.915 * [backup-simplify]: Simplify 0 into 0 7.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.919 * [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 7.920 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.921 * [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 7.921 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.921 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.922 * [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 7.923 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.923 * [backup-simplify]: Simplify 0 into 0 7.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.924 * [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 7.925 * [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 7.925 * [backup-simplify]: Simplify 0 into 0 7.925 * [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))) 7.925 * [backup-simplify]: Simplify (/ (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) (/ 1 (- x))) into (* (pow x 2) (tan (/ -1/2 x))) 7.925 * [approximate]: Taking taylor expansion of (* (pow x 2) (tan (/ -1/2 x))) in (x) around 0 7.925 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ -1/2 x))) in x 7.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.925 * [taylor]: Taking taylor expansion of x in x 7.925 * [backup-simplify]: Simplify 0 into 0 7.925 * [backup-simplify]: Simplify 1 into 1 7.925 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.925 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.926 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.926 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.926 * [taylor]: Taking taylor expansion of -1/2 in x 7.926 * [backup-simplify]: Simplify -1/2 into -1/2 7.926 * [taylor]: Taking taylor expansion of x in x 7.926 * [backup-simplify]: Simplify 0 into 0 7.926 * [backup-simplify]: Simplify 1 into 1 7.926 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.926 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.926 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.926 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.926 * [taylor]: Taking taylor expansion of -1/2 in x 7.926 * [backup-simplify]: Simplify -1/2 into -1/2 7.926 * [taylor]: Taking taylor expansion of x in x 7.926 * [backup-simplify]: Simplify 0 into 0 7.926 * [backup-simplify]: Simplify 1 into 1 7.926 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.926 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.926 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.926 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ -1/2 x))) in x 7.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.927 * [taylor]: Taking taylor expansion of x in x 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify 1 into 1 7.927 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.927 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.927 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.927 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.927 * [taylor]: Taking taylor expansion of -1/2 in x 7.927 * [backup-simplify]: Simplify -1/2 into -1/2 7.927 * [taylor]: Taking taylor expansion of x in x 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify 1 into 1 7.927 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.927 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.927 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.927 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.927 * [taylor]: Taking taylor expansion of -1/2 in x 7.927 * [backup-simplify]: Simplify -1/2 into -1/2 7.927 * [taylor]: Taking taylor expansion of x in x 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify 1 into 1 7.927 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.927 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.928 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.928 * [backup-simplify]: Simplify (* 1 1) into 1 7.928 * [backup-simplify]: Simplify (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.928 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.928 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 7.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0 7.929 * [backup-simplify]: Simplify 0 into 0 7.929 * [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 7.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 7.930 * [backup-simplify]: Simplify 0 into 0 7.930 * [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 7.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 7.932 * [backup-simplify]: Simplify 0 into 0 7.932 * [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 7.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 7.934 * [backup-simplify]: Simplify 0 into 0 7.934 * [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 7.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 7.936 * [backup-simplify]: Simplify 0 into 0 7.936 * [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 7.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.939 * [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 7.939 * [backup-simplify]: Simplify 0 into 0 7.939 * [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))) 7.939 * * * [progress]: simplifying candidates 7.939 * * * * [progress]: [ 1 / 181 ] simplifiying candidate # 7.939 * * * * [progress]: [ 2 / 181 ] simplifiying candidate # 7.939 * * * * [progress]: [ 3 / 181 ] simplifiying candidate # 7.939 * * * * [progress]: [ 4 / 181 ] simplifiying candidate # 7.939 * * * * [progress]: [ 5 / 181 ] simplifiying candidate # 7.939 * * * * [progress]: [ 6 / 181 ] simplifiying candidate # 7.939 * * * * [progress]: [ 7 / 181 ] simplifiying candidate # 7.939 * * * * 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[progress]: [ 146 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 147 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 148 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 149 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 150 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 151 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 152 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 153 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 154 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 155 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 156 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 157 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 158 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 159 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 160 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 161 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 162 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 163 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 164 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 165 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 166 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 167 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 168 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 169 / 181 ] simplifiying candidate # 7.945 * * * * [progress]: [ 170 / 181 ] simplifiying candidate # 7.946 * * * * [progress]: [ 171 / 181 ] simplifiying candidate # 7.946 * * * * [progress]: [ 172 / 181 ] simplifiying candidate #real (real->posit16 (/ (/ (tan (/ x 2)) x) x)))))> 7.946 * * * * [progress]: [ 173 / 181 ] simplifiying candidate # 7.946 * * * * [progress]: [ 174 / 181 ] simplifiying candidate # 7.946 * * * * [progress]: [ 175 / 181 ] simplifiying candidate # 7.946 * * * * [progress]: [ 176 / 181 ] simplifiying candidate # 7.946 * * * * [progress]: [ 177 / 181 ] simplifiying candidate # 7.946 * * * * [progress]: [ 178 / 181 ] simplifiying candidate # 7.946 * * * * [progress]: [ 179 / 181 ] simplifiying candidate # 7.946 * * * * [progress]: [ 180 / 181 ] simplifiying candidate # 7.946 * * * * [progress]: [ 181 / 181 ] simplifiying candidate # 7.947 * [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))) (sqrt x)) (sqrt x))) (* (sin x) (* (cbrt (/ (/ (tan (/ x 2)) x) x)) (cbrt (/ (/ (tan (/ x 2)) x) x)))) (* (sin x) (sqrt (/ (/ (tan (/ x 2)) x) x))) (* 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2))) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) (pow x 2))) 7.950 * * [simplify]: iteration 0: 253 enodes 8.025 * * [simplify]: iteration 1: 631 enodes 8.246 * * [simplify]: iteration 2: 1962 enodes 8.581 * * [simplify]: iteration 3: 2000 enodes 8.908 * * [simplify]: iteration complete: 2000 enodes 8.909 * * [simplify]: Extracting #0: cost 157 inf + 0 8.910 * * [simplify]: Extracting #1: cost 635 inf + 1 8.914 * * [simplify]: Extracting #2: cost 627 inf + 18009 8.928 * * [simplify]: Extracting #3: cost 260 inf + 116714 8.953 * * [simplify]: Extracting #4: cost 16 inf + 202915 8.995 * * [simplify]: Extracting #5: cost 0 inf + 209162 9.033 * [simplify]: Simplified to: (expm1 (/ (sin x) (/ (* x x) (tan (/ x 2))))) (log1p (/ (sin x) (/ (* x x) (tan (/ x 2))))) (/ (sin x) (/ (* x x) (tan (/ x 2)))) (log (/ (sin x) (/ (* x x) (tan (/ x 2))))) (log (/ (sin x) (/ (* x x) (tan (/ x 2))))) (log (/ (sin x) (/ (* x x) (tan (/ x 2))))) (log (/ (sin x) (/ (* x x) (tan (/ x 2))))) (exp (/ (sin x) (/ (* x 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(tan (/ x 2)))) (* (/ x (tan (/ x 2))) (cbrt x)) (/ (* x (sqrt x)) (tan (/ x 2))) (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2))) (* x x) (* x x) (real->posit16 (/ (tan (/ x 2)) (* x x))) (fma 1/720 (* (* x x) (* x x)) (- 1/2 (* 1/24 (* x x)))) (/ (/ (* (sin x) (sin (* x 1/2))) (* x x)) (cos (* x 1/2))) (/ (/ (* (sin x) (sin (* x 1/2))) (* x x)) (cos (* x 1/2))) (fma (* x x) 1/24 (fma (* (* x x) (* x x)) 1/240 1/2)) (/ (sin (* x 1/2)) (* (cos (* x 1/2)) x)) (/ (sin (* x 1/2)) (* (cos (* x 1/2)) x)) (fma 1/24 x (fma (* x (* x x)) 1/240 (/ 1/2 x))) (/ (sin (* x 1/2)) (* (* x x) (cos (* x 1/2)))) (/ (sin (* x 1/2)) (* (* x x) (cos (* x 1/2)))) 9.056 * * * [progress]: adding candidates to table 10.659 * [progress]: [Phase 3 of 3] Extracting. 10.659 * * [regime]: Finding splitpoints for: (# # # # # #) 10.661 * * * [regime-changes]: Trying 1 branch expressions: (x) 10.661 * * * * [regimes]: Trying to branch on x from (# # # # # #) 10.694 * * * [regime]: Found split indices: #