16.161 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.163 * * * [progress]: [2/2] Setting up program. 0.165 * [progress]: [Phase 2 of 3] Improving. 0.165 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.165 * [simplify]: Simplifying: (/ (- 1 (cos x)) (* x x)) 0.166 * * [simplify]: iteration 1: (6 enodes) 0.167 * * [simplify]: iteration 2: (13 enodes) 0.169 * * [simplify]: iteration 3: (21 enodes) 0.172 * * [simplify]: iteration 4: (26 enodes) 0.176 * * [simplify]: iteration 5: (28 enodes) 0.179 * * [simplify]: Extracting #0: cost 1 inf + 0 0.179 * * [simplify]: Extracting #1: cost 8 inf + 0 0.179 * * [simplify]: Extracting #2: cost 12 inf + 42 0.180 * * [simplify]: Extracting #3: cost 6 inf + 588 0.180 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.180 * [simplify]: Simplified to: (/ (- 1 (cos x)) (* x x)) 0.183 * * [progress]: iteration 1 / 4 0.183 * * * [progress]: picking best candidate 0.184 * * * * [pick]: Picked # 0.185 * * * [progress]: localizing error 0.195 * * * [progress]: generating rewritten candidates 0.195 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.227 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.234 * * * [progress]: generating series expansions 0.234 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.240 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2)) 0.240 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0 0.241 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.241 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.241 * [taylor]: Taking taylor expansion of 1 in x 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of (cos x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (- 1) into -1 0.242 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.243 * [backup-simplify]: Simplify (+ 0) into 0 0.243 * [backup-simplify]: Simplify (- 0) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.245 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.245 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.245 * [backup-simplify]: Simplify (* 1 1) into 1 0.245 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.245 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.245 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.245 * [taylor]: Taking taylor expansion of 1 in x 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [taylor]: Taking taylor expansion of (cos x) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (- 1) into -1 0.246 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.246 * [backup-simplify]: Simplify (+ 0) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.248 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.248 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.249 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.249 * [backup-simplify]: Simplify 1/2 into 1/2 0.250 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.253 * [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 0.254 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.254 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.255 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.255 * [backup-simplify]: Simplify -1/24 into -1/24 0.257 * [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 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.262 * [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 0.262 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.262 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.264 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.264 * [backup-simplify]: Simplify 1/720 into 1/720 0.265 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 0.265 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.265 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 0.265 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.265 * [taylor]: Taking taylor expansion of 1 in x 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [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 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 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 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.267 * [backup-simplify]: Simplify (* 1 1) into 1 0.267 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.267 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.267 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.267 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [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 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.280 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.280 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.280 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.280 * [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 0.281 * [backup-simplify]: Simplify (/ -1 1) into -1 0.281 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.282 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.282 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.282 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.282 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.295 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.295 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.295 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.295 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.295 * [taylor]: Taking taylor expansion of 1 in x 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [taylor]: Taking taylor expansion of (cos x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.295 * [taylor]: Taking taylor expansion of 1 in x 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [taylor]: Taking taylor expansion of (cos x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (- 1) into -1 0.296 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ 0) into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.298 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.298 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.298 * [backup-simplify]: Simplify 1/2 into 1/2 0.299 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.301 * [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 0.302 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.302 * [backup-simplify]: Simplify -1/24 into -1/24 0.304 * [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 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.307 * [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 0.307 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.308 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.308 * [backup-simplify]: Simplify 1/720 into 1/720 0.308 * [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))) 0.308 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.308 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.308 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.308 * [taylor]: Taking taylor expansion of 1 in x 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.308 * [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 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.309 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.309 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.309 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [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 (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.317 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.317 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.317 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.317 * [taylor]: Taking taylor expansion of 1 in x 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.317 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.317 * [taylor]: Taking taylor expansion of -1 in x 0.317 * [backup-simplify]: Simplify -1 into -1 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (/ -1 1) into -1 0.317 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.317 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.317 * [taylor]: Taking taylor expansion of 1 in x 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.317 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.317 * [taylor]: Taking taylor expansion of -1 in x 0.317 * [backup-simplify]: Simplify -1 into -1 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ -1 1) into -1 0.318 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.318 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.318 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.318 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.321 * * * [progress]: simplifying candidates 0.321 * * * * [progress]: [ 1 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 2 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 3 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 4 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 5 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 6 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 7 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 8 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 9 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 10 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 11 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 12 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 13 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 14 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 15 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 16 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 17 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 18 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 19 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 20 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 21 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 22 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 23 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 24 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 25 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 26 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 27 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 28 / 69 ] simplifiying candidate # 0.322 * * * * [progress]: [ 29 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 30 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 31 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 32 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.323 * * * * [progress]: [ 34 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 35 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 36 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 37 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 38 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 39 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 40 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 41 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 42 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 43 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 44 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 45 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 46 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 47 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 48 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 49 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 50 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 51 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 52 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 53 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 54 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 55 / 69 ] simplifiying candidate # 0.323 * * * * [progress]: [ 56 / 69 ] simplifiying candidate # 0.324 * * * * [progress]: [ 57 / 69 ] simplifiying candidate # 0.324 * * * * [progress]: [ 58 / 69 ] simplifiying candidate # 0.324 * * * * [progress]: [ 59 / 69 ] simplifiying candidate # 0.324 * * * * [progress]: [ 60 / 69 ] simplifiying candidate # 0.324 * * * * [progress]: [ 61 / 69 ] simplifiying candidate # 0.324 * * * * [progress]: [ 62 / 69 ] simplifiying candidate # 0.324 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.324 * * * * [progress]: [ 64 / 69 ] simplifiying candidate # 0.324 * * * * [progress]: [ 65 / 69 ] simplifiying candidate # 0.324 * * * * [progress]: [ 66 / 69 ] simplifiying candidate # 0.324 * * * * [progress]: [ 67 / 69 ] simplifiying candidate # 0.324 * * * * [progress]: [ 68 / 69 ] simplifiying candidate # 0.324 * * * * [progress]: [ 69 / 69 ] simplifiying candidate # 0.325 * [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)) 0.326 * * [simplify]: iteration 1: (121 enodes) 0.381 * * [simplify]: iteration 2: (288 enodes) 0.456 * * [simplify]: iteration 3: (858 enodes) 1.880 * * [simplify]: Extracting #0: cost 47 inf + 0 1.881 * * [simplify]: Extracting #1: cost 342 inf + 0 1.884 * * [simplify]: Extracting #2: cost 662 inf + 9093 1.893 * * [simplify]: Extracting #3: cost 494 inf + 43484 1.923 * * [simplify]: Extracting #4: cost 102 inf + 133892 1.979 * * [simplify]: Extracting #5: cost 1 inf + 157929 2.034 * * [simplify]: Extracting #6: cost 0 inf + 158241 2.064 * [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) (/ (+ (sqrt (cos x)) 1) x) (/ (- 1 (sqrt (cos x))) x) (/ (+ (sqrt (cos x)) 1) x) (/ (- 1 (sqrt (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (/ 1 x) x) (/ (* x x) (- 1 (cos x))) (/ (- 1 (cos x)) x) (* (/ x (cbrt (- 1 (cos x)))) x) (/ (* x x) (sqrt (- 1 (cos x)))) (/ (* x x) (- 1 (cos x))) (* (/ x (- 1 (sqrt (cos x)))) x) (* (/ x (- 1 (sqrt (cos x)))) x) (/ (* x x) (- 1 (cos x))) (fma (fma (cos x) (cos x) (cos x)) (* x x) (* x x)) (* x (fma x (cos x) x)) (real->posit16 (/ (/ (- 1 (cos x)) x) x)) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ E (exp (cos x))) (log (- 1 (cos x))) (/ E (exp (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (- 1 (cos x)) (* (- 1 (cos x)) (- 1 (cos x)))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- 1 (* (cos x) (* (cos x) (cos x)))) (fma (cos x) (+ (cos x) 1) 1) (- (cos x)) (* (sin x) (sin x)) (+ (cos x) 1) (+ (sqrt (cos x)) 1) (- 1 (sqrt (cos x))) (+ (sqrt (cos x)) 1) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (real->posit16 (- 1 (cos x))) (fma (* x x) -1/24 (fma (* x x) (* 1/720 (* x x)) 1/2)) (/ (/ (- 1 (cos x)) x) x) (/ (/ (- 1 (cos x)) x) x) (fma -1/24 (* (* x x) (* x x)) (fma 1/720 (* (* (* x x) (* x x)) (* x x)) (* 1/2 (* x x)))) (- 1 (cos x)) (- 1 (cos x)) 2.068 * * * [progress]: adding candidates to table 2.546 * * [progress]: iteration 2 / 4 2.546 * * * [progress]: picking best candidate 2.560 * * * * [pick]: Picked # 2.560 * * * [progress]: localizing error 2.588 * * * [progress]: generating rewritten candidates 2.588 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.618 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.623 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.637 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.660 * * * [progress]: generating series expansions 2.660 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.661 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 2.661 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 2.661 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 2.661 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.661 * [taylor]: Taking taylor expansion of (sin x) in x 2.661 * [taylor]: Taking taylor expansion of x in x 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify 1 into 1 2.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.662 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 2.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.662 * [taylor]: Taking taylor expansion of x in x 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.662 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.662 * [taylor]: Taking taylor expansion of (cos x) in x 2.662 * [taylor]: Taking taylor expansion of x in x 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.662 * [taylor]: Taking taylor expansion of 1 in x 2.662 * [backup-simplify]: Simplify 1 into 1 2.663 * [backup-simplify]: Simplify (* 1 1) into 1 2.663 * [backup-simplify]: Simplify (* 1 1) into 1 2.663 * [backup-simplify]: Simplify (+ 1 1) into 2 2.663 * [backup-simplify]: Simplify (* 1 2) into 2 2.664 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.664 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 2.664 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.664 * [taylor]: Taking taylor expansion of (sin x) in x 2.664 * [taylor]: Taking taylor expansion of x in x 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 1 into 1 2.664 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.664 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 2.664 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.664 * [taylor]: Taking taylor expansion of x in x 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 1 into 1 2.664 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.664 * [taylor]: Taking taylor expansion of (cos x) in x 2.664 * [taylor]: Taking taylor expansion of x in x 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 1 into 1 2.664 * [taylor]: Taking taylor expansion of 1 in x 2.664 * [backup-simplify]: Simplify 1 into 1 2.665 * [backup-simplify]: Simplify (* 1 1) into 1 2.665 * [backup-simplify]: Simplify (* 1 1) into 1 2.665 * [backup-simplify]: Simplify (+ 1 1) into 2 2.665 * [backup-simplify]: Simplify (* 1 2) into 2 2.666 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.666 * [backup-simplify]: Simplify 1/2 into 1/2 2.666 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.667 * [backup-simplify]: Simplify (+ 0) into 0 2.667 * [backup-simplify]: Simplify (+ 0 0) into 0 2.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 2.669 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 2.669 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.670 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.671 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.671 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.672 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 2.673 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 2.673 * [backup-simplify]: Simplify -1/24 into -1/24 2.674 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.676 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.676 * [backup-simplify]: Simplify (+ 0 0) into 0 2.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 2.678 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 2.678 * [backup-simplify]: Simplify 0 into 0 2.681 * [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 2.682 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.683 * [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 2.684 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.685 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 2.687 * [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 2.687 * [backup-simplify]: Simplify 1/720 into 1/720 2.687 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 2.687 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) 2.687 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 2.687 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 2.687 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 2.687 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.687 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.687 * [taylor]: Taking taylor expansion of x in x 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify 1 into 1 2.688 * [backup-simplify]: Simplify (/ 1 1) into 1 2.688 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.688 * [taylor]: Taking taylor expansion of x in x 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 1 into 1 2.688 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.688 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.688 * [taylor]: Taking taylor expansion of x in x 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 1 into 1 2.688 * [backup-simplify]: Simplify (/ 1 1) into 1 2.688 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.688 * [taylor]: Taking taylor expansion of 1 in x 2.688 * [backup-simplify]: Simplify 1 into 1 2.688 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.691 * [backup-simplify]: Simplify (* 1 1) into 1 2.691 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 2.691 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.691 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.691 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 2.691 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 2.691 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.691 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.691 * [taylor]: Taking taylor expansion of x in x 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.692 * [backup-simplify]: Simplify (/ 1 1) into 1 2.692 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.692 * [taylor]: Taking taylor expansion of x in x 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.692 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.692 * [taylor]: Taking taylor expansion of x in x 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [backup-simplify]: Simplify (/ 1 1) into 1 2.692 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.692 * [taylor]: Taking taylor expansion of 1 in x 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.692 * [backup-simplify]: Simplify (* 1 1) into 1 2.693 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 2.693 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.693 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.693 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.693 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.694 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 2.694 * [backup-simplify]: Simplify (+ 0 0) into 0 2.694 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.694 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.695 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.696 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.696 * [backup-simplify]: Simplify (+ 0 0) into 0 2.696 * [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 2.696 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.698 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.698 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.698 * [backup-simplify]: Simplify (+ 0 0) into 0 2.699 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.701 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.702 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.702 * [backup-simplify]: Simplify (+ 0 0) into 0 2.703 * [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 2.703 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.706 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.708 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.708 * [backup-simplify]: Simplify (+ 0 0) into 0 2.709 * [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 2.709 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.713 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.714 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.715 * [backup-simplify]: Simplify (+ 0 0) into 0 2.715 * [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 2.715 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 2.716 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) 2.716 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 2.716 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 2.716 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 2.716 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.716 * [taylor]: Taking taylor expansion of x in x 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 1 into 1 2.716 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.716 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.716 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.716 * [taylor]: Taking taylor expansion of -1 in x 2.716 * [backup-simplify]: Simplify -1 into -1 2.716 * [taylor]: Taking taylor expansion of x in x 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 1 into 1 2.717 * [backup-simplify]: Simplify (/ -1 1) into -1 2.717 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.717 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.717 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.717 * [taylor]: Taking taylor expansion of -1 in x 2.717 * [backup-simplify]: Simplify -1 into -1 2.717 * [taylor]: Taking taylor expansion of x in x 2.717 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify 1 into 1 2.717 * [backup-simplify]: Simplify (/ -1 1) into -1 2.717 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.717 * [taylor]: Taking taylor expansion of 1 in x 2.717 * [backup-simplify]: Simplify 1 into 1 2.718 * [backup-simplify]: Simplify (* 1 1) into 1 2.718 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.718 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 2.718 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.718 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.718 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 2.718 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 2.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.718 * [taylor]: Taking taylor expansion of x in x 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.718 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.718 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.718 * [taylor]: Taking taylor expansion of -1 in x 2.718 * [backup-simplify]: Simplify -1 into -1 2.718 * [taylor]: Taking taylor expansion of x in x 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [backup-simplify]: Simplify (/ -1 1) into -1 2.718 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.718 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.718 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.718 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.718 * [taylor]: Taking taylor expansion of -1 in x 2.719 * [backup-simplify]: Simplify -1 into -1 2.719 * [taylor]: Taking taylor expansion of x in x 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [backup-simplify]: Simplify (/ -1 1) into -1 2.719 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.719 * [taylor]: Taking taylor expansion of 1 in x 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [backup-simplify]: Simplify (* 1 1) into 1 2.719 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.719 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 2.719 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.720 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.720 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.720 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 2.721 * [backup-simplify]: Simplify (+ 0 0) into 0 2.721 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 2.723 * [backup-simplify]: Simplify (+ 0 0) into 0 2.723 * [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 2.723 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 2.725 * [backup-simplify]: Simplify (+ 0 0) into 0 2.726 * [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 2.726 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 2.729 * [backup-simplify]: Simplify (+ 0 0) into 0 2.729 * [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 2.729 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 2.733 * [backup-simplify]: Simplify (+ 0 0) into 0 2.733 * [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 2.733 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 2.737 * [backup-simplify]: Simplify (+ 0 0) into 0 2.738 * [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 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 2.738 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.738 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 2.738 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 2.738 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.738 * [taylor]: Taking taylor expansion of (cos x) in x 2.738 * [taylor]: Taking taylor expansion of x in x 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [taylor]: Taking taylor expansion of 1 in x 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.738 * [taylor]: Taking taylor expansion of (cos x) in x 2.738 * [taylor]: Taking taylor expansion of x in x 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [taylor]: Taking taylor expansion of 1 in x 2.738 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (+ 1 1) into 2 2.739 * [backup-simplify]: Simplify 2 into 2 2.739 * [backup-simplify]: Simplify (+ 0) into 0 2.739 * [backup-simplify]: Simplify (+ 0 0) into 0 2.739 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.740 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.740 * [backup-simplify]: Simplify -1/2 into -1/2 2.741 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.741 * [backup-simplify]: Simplify (+ 0 0) into 0 2.741 * [backup-simplify]: Simplify 0 into 0 2.743 * [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 2.743 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.743 * [backup-simplify]: Simplify 1/24 into 1/24 2.743 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2)) into (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) 2.744 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 2.744 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 2.744 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.744 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [backup-simplify]: Simplify (/ 1 1) into 1 2.744 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.744 * [taylor]: Taking taylor expansion of 1 in x 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.744 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [backup-simplify]: Simplify (/ 1 1) into 1 2.744 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.744 * [taylor]: Taking taylor expansion of 1 in x 2.744 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.745 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (+ 0 0) into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (+ 0 0) into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (+ 0 0) into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (+ 0 0) into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 2.747 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 2.747 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 2.747 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.747 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.747 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.747 * [taylor]: Taking taylor expansion of -1 in x 2.747 * [backup-simplify]: Simplify -1 into -1 2.747 * [taylor]: Taking taylor expansion of x in x 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (/ -1 1) into -1 2.747 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.747 * [taylor]: Taking taylor expansion of 1 in x 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.747 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.747 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.747 * [taylor]: Taking taylor expansion of -1 in x 2.747 * [backup-simplify]: Simplify -1 into -1 2.747 * [taylor]: Taking taylor expansion of x in x 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (/ -1 1) into -1 2.748 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.748 * [taylor]: Taking taylor expansion of 1 in x 2.748 * [backup-simplify]: Simplify 1 into 1 2.748 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.748 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.748 * [backup-simplify]: Simplify (+ 0 0) into 0 2.748 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify (+ 0 0) into 0 2.748 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify (+ 0 0) into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify (+ 0 0) into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 2.750 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.750 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 2.750 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 2.750 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.750 * [taylor]: Taking taylor expansion of (sin x) in x 2.751 * [taylor]: Taking taylor expansion of x in x 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.751 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.751 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.751 * [taylor]: Taking taylor expansion of (sin x) in x 2.751 * [taylor]: Taking taylor expansion of x in x 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.753 * [backup-simplify]: Simplify (* 1 1) into 1 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.757 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.757 * [backup-simplify]: Simplify -1/3 into -1/3 2.758 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.760 * [backup-simplify]: Simplify 0 into 0 2.764 * [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 2.765 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.765 * [backup-simplify]: Simplify 2/45 into 2/45 2.766 * [backup-simplify]: Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (pow x 2)))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) 2.766 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.766 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 2.766 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.766 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.766 * [taylor]: Taking taylor expansion of x in x 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (/ 1 1) into 1 2.767 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.767 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.767 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.767 * [taylor]: Taking taylor expansion of x in x 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (/ 1 1) into 1 2.767 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.768 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.768 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 2.768 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.771 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.772 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.774 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 2.775 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 2.775 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 2.775 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.775 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.775 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.775 * [taylor]: Taking taylor expansion of -1 in x 2.775 * [backup-simplify]: Simplify -1 into -1 2.775 * [taylor]: Taking taylor expansion of x in x 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [backup-simplify]: Simplify (/ -1 1) into -1 2.776 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.776 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.776 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.776 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.776 * [taylor]: Taking taylor expansion of -1 in x 2.776 * [backup-simplify]: Simplify -1 into -1 2.776 * [taylor]: Taking taylor expansion of x in x 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 1 into 1 2.776 * [backup-simplify]: Simplify (/ -1 1) into -1 2.776 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.776 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.777 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 2.777 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.777 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.778 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.780 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.781 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 2.784 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.784 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.784 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 2.784 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 2.784 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.784 * [taylor]: Taking taylor expansion of (sin x) in x 2.784 * [taylor]: Taking taylor expansion of x in x 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 1 into 1 2.785 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.785 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.785 * [taylor]: Taking taylor expansion of (cos x) in x 2.785 * [taylor]: Taking taylor expansion of x in x 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify 1 into 1 2.785 * [taylor]: Taking taylor expansion of 1 in x 2.785 * [backup-simplify]: Simplify 1 into 1 2.785 * [backup-simplify]: Simplify (* 1 1) into 1 2.785 * [backup-simplify]: Simplify (+ 1 1) into 2 2.786 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.786 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 2.786 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.786 * [taylor]: Taking taylor expansion of (sin x) in x 2.786 * [taylor]: Taking taylor expansion of x in x 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify 1 into 1 2.786 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.786 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.786 * [taylor]: Taking taylor expansion of (cos x) in x 2.786 * [taylor]: Taking taylor expansion of x in x 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify 1 into 1 2.786 * [taylor]: Taking taylor expansion of 1 in x 2.786 * [backup-simplify]: Simplify 1 into 1 2.786 * [backup-simplify]: Simplify (* 1 1) into 1 2.787 * [backup-simplify]: Simplify (+ 1 1) into 2 2.787 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.787 * [backup-simplify]: Simplify 1/2 into 1/2 2.788 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.788 * [backup-simplify]: Simplify (+ 0) into 0 2.789 * [backup-simplify]: Simplify (+ 0 0) into 0 2.789 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 2.789 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.791 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.791 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.792 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.793 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 2.793 * [backup-simplify]: Simplify -1/24 into -1/24 2.793 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.795 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.795 * [backup-simplify]: Simplify (+ 0 0) into 0 2.796 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 2.796 * [backup-simplify]: Simplify 0 into 0 2.798 * [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 2.799 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.805 * [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 2.806 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.807 * [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 2.807 * [backup-simplify]: Simplify 1/720 into 1/720 2.807 * [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))) 2.807 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.807 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 2.807 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 2.807 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.807 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.807 * [taylor]: Taking taylor expansion of x in x 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 1 into 1 2.808 * [backup-simplify]: Simplify (/ 1 1) into 1 2.808 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.808 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.808 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.808 * [taylor]: Taking taylor expansion of x in x 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 1 into 1 2.808 * [backup-simplify]: Simplify (/ 1 1) into 1 2.808 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.808 * [taylor]: Taking taylor expansion of 1 in x 2.808 * [backup-simplify]: Simplify 1 into 1 2.808 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.808 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.808 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.809 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 2.809 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.809 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.809 * [taylor]: Taking taylor expansion of x in x 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify (/ 1 1) into 1 2.809 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.809 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.809 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.809 * [taylor]: Taking taylor expansion of x in x 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify (/ 1 1) into 1 2.809 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.809 * [taylor]: Taking taylor expansion of 1 in x 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.809 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.810 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.810 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.810 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.810 * [backup-simplify]: Simplify (+ 0 0) into 0 2.810 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.810 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.811 * [backup-simplify]: Simplify (+ 0 0) into 0 2.811 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.812 * [backup-simplify]: Simplify (+ 0 0) into 0 2.813 * [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 2.813 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.814 * [backup-simplify]: Simplify (+ 0 0) into 0 2.815 * [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 2.815 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.817 * [backup-simplify]: Simplify (+ 0 0) into 0 2.818 * [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 2.818 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.820 * [backup-simplify]: Simplify (+ 0 0) into 0 2.821 * [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 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.822 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.822 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 2.822 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 2.822 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.822 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.822 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.822 * [taylor]: Taking taylor expansion of -1 in x 2.822 * [backup-simplify]: Simplify -1 into -1 2.822 * [taylor]: Taking taylor expansion of x in x 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify 1 into 1 2.822 * [backup-simplify]: Simplify (/ -1 1) into -1 2.822 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.822 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.822 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.822 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.823 * [taylor]: Taking taylor expansion of -1 in x 2.823 * [backup-simplify]: Simplify -1 into -1 2.823 * [taylor]: Taking taylor expansion of x in x 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (/ -1 1) into -1 2.823 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.823 * [taylor]: Taking taylor expansion of 1 in x 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.823 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.824 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.824 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 2.824 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.824 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.824 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.824 * [taylor]: Taking taylor expansion of -1 in x 2.824 * [backup-simplify]: Simplify -1 into -1 2.824 * [taylor]: Taking taylor expansion of x in x 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 1 into 1 2.824 * [backup-simplify]: Simplify (/ -1 1) into -1 2.824 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.824 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.824 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.824 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.825 * [taylor]: Taking taylor expansion of -1 in x 2.825 * [backup-simplify]: Simplify -1 into -1 2.825 * [taylor]: Taking taylor expansion of x in x 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (/ -1 1) into -1 2.825 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.825 * [taylor]: Taking taylor expansion of 1 in x 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.825 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.826 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.826 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.826 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.826 * [backup-simplify]: Simplify (+ 0 0) into 0 2.827 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.828 * [backup-simplify]: Simplify (+ 0 0) into 0 2.828 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.828 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.830 * [backup-simplify]: Simplify (+ 0 0) into 0 2.830 * [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 2.830 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.832 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [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 2.833 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.835 * [backup-simplify]: Simplify (+ 0 0) into 0 2.836 * [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 2.836 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.838 * [backup-simplify]: Simplify (+ 0 0) into 0 2.839 * [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 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.840 * * * [progress]: simplifying candidates 2.840 * * * * [progress]: [ 1 / 138 ] simplifiying candidate # 2.840 * * * * [progress]: [ 2 / 138 ] simplifiying candidate # 2.840 * * * * [progress]: [ 3 / 138 ] simplifiying candidate # 2.840 * * * * [progress]: [ 4 / 138 ] simplifiying candidate # 2.840 * * * * [progress]: [ 5 / 138 ] simplifiying candidate # 2.840 * * * * [progress]: [ 6 / 138 ] simplifiying candidate # 2.840 * * * * [progress]: [ 7 / 138 ] simplifiying candidate # 2.840 * * * * [progress]: [ 8 / 138 ] simplifiying candidate # 2.840 * * * * [progress]: [ 9 / 138 ] simplifiying candidate # 2.840 * * * * [progress]: [ 10 / 138 ] simplifiying candidate # 2.840 * * * * [progress]: [ 11 / 138 ] simplifiying candidate # 2.840 * * * * [progress]: [ 12 / 138 ] simplifiying candidate # 2.841 * * * * [progress]: [ 13 / 138 ] simplifiying candidate # 2.841 * * * * [progress]: [ 14 / 138 ] simplifiying candidate # 2.841 * * * * [progress]: [ 15 / 138 ] simplifiying candidate # 2.841 * * * * [progress]: [ 16 / 138 ] simplifiying candidate # 2.841 * * * * [progress]: [ 17 / 138 ] simplifiying candidate # 2.841 * * * * [progress]: [ 18 / 138 ] simplifiying candidate # 2.841 * * * * [progress]: [ 19 / 138 ] simplifiying candidate # 2.841 * * * * [progress]: [ 20 / 138 ] simplifiying candidate # 2.841 * * * * [progress]: [ 21 / 138 ] simplifiying candidate # 2.841 * * * * [progress]: [ 22 / 138 ] simplifiying candidate # 2.841 * * * * [progress]: [ 23 / 138 ] simplifiying candidate # 2.841 * * * * [progress]: [ 24 / 138 ] simplifiying candidate # 2.841 * * * * [progress]: [ 25 / 138 ] simplifiying candidate # 2.842 * * * * [progress]: [ 26 / 138 ] simplifiying candidate # 2.842 * * * * [progress]: [ 27 / 138 ] simplifiying candidate # 2.842 * * * * [progress]: [ 28 / 138 ] simplifiying candidate # 2.842 * * * * [progress]: [ 29 / 138 ] simplifiying candidate # 2.842 * * * * [progress]: [ 30 / 138 ] simplifiying candidate # 2.842 * * * * [progress]: [ 31 / 138 ] simplifiying candidate # 2.842 * * * * [progress]: [ 32 / 138 ] simplifiying candidate # 2.842 * * * * [progress]: [ 33 / 138 ] simplifiying candidate # 2.842 * * * * [progress]: [ 34 / 138 ] simplifiying candidate # 2.842 * * * * [progress]: [ 35 / 138 ] simplifiying candidate # 2.842 * * * * [progress]: [ 36 / 138 ] simplifiying candidate # 2.842 * * * * [progress]: [ 37 / 138 ] simplifiying candidate # 2.842 * * * * [progress]: [ 38 / 138 ] simplifiying candidate # 2.842 * * * * [progress]: [ 39 / 138 ] simplifiying candidate # 2.842 * * * * [progress]: [ 40 / 138 ] simplifiying candidate # 2.842 * * * * [progress]: [ 41 / 138 ] simplifiying candidate # 2.843 * * * * [progress]: [ 42 / 138 ] simplifiying candidate # 2.843 * * * * [progress]: [ 43 / 138 ] simplifiying candidate # 2.843 * * * * [progress]: [ 44 / 138 ] simplifiying candidate # 2.843 * * * * [progress]: [ 45 / 138 ] simplifiying candidate # 2.843 * * * * [progress]: [ 46 / 138 ] simplifiying candidate # 2.843 * * * * [progress]: [ 47 / 138 ] simplifiying candidate # 2.843 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 2.843 * * * * [progress]: [ 49 / 138 ] simplifiying candidate # 2.843 * * * * [progress]: [ 50 / 138 ] simplifiying candidate # 2.843 * * * * [progress]: [ 51 / 138 ] simplifiying candidate # 2.843 * * * * [progress]: [ 52 / 138 ] simplifiying candidate # 2.843 * * * * [progress]: [ 53 / 138 ] simplifiying candidate # 2.843 * * * * [progress]: [ 54 / 138 ] simplifiying candidate # 2.843 * * * * [progress]: [ 55 / 138 ] simplifiying candidate # 2.843 * * * * [progress]: [ 56 / 138 ] simplifiying candidate # 2.843 * * * * [progress]: [ 57 / 138 ] simplifiying candidate # 2.844 * * * * [progress]: [ 58 / 138 ] simplifiying candidate # 2.844 * * * * [progress]: [ 59 / 138 ] simplifiying candidate # 2.844 * * * * [progress]: [ 60 / 138 ] simplifiying candidate # 2.844 * * * * [progress]: [ 61 / 138 ] simplifiying candidate # 2.844 * * * * [progress]: [ 62 / 138 ] simplifiying candidate # 2.844 * * * * [progress]: [ 63 / 138 ] simplifiying candidate # 2.844 * * * * [progress]: [ 64 / 138 ] simplifiying candidate # 2.844 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 2.844 * * * * [progress]: [ 66 / 138 ] simplifiying candidate # 2.844 * * * * [progress]: [ 67 / 138 ] simplifiying candidate # 2.844 * * * * [progress]: [ 68 / 138 ] simplifiying candidate # 2.844 * * * * [progress]: [ 69 / 138 ] simplifiying candidate # 2.844 * * * * [progress]: [ 70 / 138 ] simplifiying candidate # 2.844 * * * * [progress]: [ 71 / 138 ] simplifiying candidate # 2.844 * * * * [progress]: [ 72 / 138 ] simplifiying candidate # 2.844 * * * * [progress]: [ 73 / 138 ] simplifiying candidate # 2.845 * * * * [progress]: [ 74 / 138 ] simplifiying candidate # 2.845 * * * * [progress]: [ 75 / 138 ] simplifiying candidate # 2.845 * * * * [progress]: [ 76 / 138 ] simplifiying candidate # 2.845 * * * * [progress]: [ 77 / 138 ] simplifiying candidate # 2.845 * * * * [progress]: [ 78 / 138 ] simplifiying candidate # 2.845 * * * * [progress]: [ 79 / 138 ] simplifiying candidate # 2.845 * * * * [progress]: [ 80 / 138 ] simplifiying candidate # 2.845 * * * * [progress]: [ 81 / 138 ] simplifiying candidate # 2.845 * * * * [progress]: [ 82 / 138 ] simplifiying candidate # 2.845 * * * * [progress]: [ 83 / 138 ] simplifiying candidate # 2.845 * * * * [progress]: [ 84 / 138 ] simplifiying candidate # 2.845 * * * * [progress]: [ 85 / 138 ] simplifiying candidate # 2.845 * * * * [progress]: [ 86 / 138 ] simplifiying candidate # 2.845 * * * * [progress]: [ 87 / 138 ] simplifiying candidate # 2.845 * * * * [progress]: [ 88 / 138 ] simplifiying candidate # 2.845 * * * * [progress]: [ 89 / 138 ] simplifiying candidate # 2.846 * * * * [progress]: [ 90 / 138 ] simplifiying candidate # 2.846 * * * * [progress]: [ 91 / 138 ] simplifiying candidate # 2.846 * * * * [progress]: [ 92 / 138 ] simplifiying candidate # 2.846 * * * * [progress]: [ 93 / 138 ] simplifiying candidate # 2.846 * * * * [progress]: [ 94 / 138 ] simplifiying candidate # 2.846 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 2.846 * * * * [progress]: [ 96 / 138 ] simplifiying candidate # 2.846 * * * * [progress]: [ 97 / 138 ] simplifiying candidate # 2.846 * * * * [progress]: [ 98 / 138 ] simplifiying candidate # 2.846 * * * * [progress]: [ 99 / 138 ] simplifiying candidate # 2.846 * * * * [progress]: [ 100 / 138 ] simplifiying candidate # 2.846 * * * * [progress]: [ 101 / 138 ] simplifiying candidate # 2.846 * * * * [progress]: [ 102 / 138 ] simplifiying candidate # 2.846 * * * * [progress]: [ 103 / 138 ] simplifiying candidate # 2.846 * * * * [progress]: [ 104 / 138 ] simplifiying candidate # 2.846 * * * * [progress]: [ 105 / 138 ] simplifiying candidate # 2.846 * * * * [progress]: [ 106 / 138 ] simplifiying candidate # 2.847 * * * * [progress]: [ 107 / 138 ] simplifiying candidate # 2.847 * * * * [progress]: [ 108 / 138 ] simplifiying candidate # 2.847 * * * * [progress]: [ 109 / 138 ] simplifiying candidate # 2.847 * * * * [progress]: [ 110 / 138 ] simplifiying candidate # 2.847 * * * * [progress]: [ 111 / 138 ] simplifiying candidate # 2.847 * * * * [progress]: [ 112 / 138 ] simplifiying candidate # 2.847 * * * * [progress]: [ 113 / 138 ] simplifiying candidate # 2.847 * * * * [progress]: [ 114 / 138 ] simplifiying candidate # 2.847 * * * * [progress]: [ 115 / 138 ] simplifiying candidate # 2.847 * * * * [progress]: [ 116 / 138 ] simplifiying candidate # 2.847 * * * * [progress]: [ 117 / 138 ] simplifiying candidate # 2.847 * * * * [progress]: [ 118 / 138 ] simplifiying candidate # 2.847 * * * * [progress]: [ 119 / 138 ] simplifiying candidate # 2.847 * * * * [progress]: [ 120 / 138 ] simplifiying candidate # 2.847 * * * * [progress]: [ 121 / 138 ] simplifiying candidate # 2.848 * * * * [progress]: [ 122 / 138 ] simplifiying candidate # 2.848 * * * * [progress]: [ 123 / 138 ] simplifiying candidate # 2.848 * * * * [progress]: [ 124 / 138 ] simplifiying candidate # 2.848 * * * * [progress]: [ 125 / 138 ] simplifiying candidate # 2.848 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 2.848 * * * * [progress]: [ 127 / 138 ] simplifiying candidate # 2.848 * * * * [progress]: [ 128 / 138 ] simplifiying candidate # 2.848 * * * * [progress]: [ 129 / 138 ] simplifiying candidate # 2.848 * * * * [progress]: [ 130 / 138 ] simplifiying candidate # 2.848 * * * * [progress]: [ 131 / 138 ] simplifiying candidate # 2.848 * * * * [progress]: [ 132 / 138 ] simplifiying candidate # 2.848 * * * * [progress]: [ 133 / 138 ] simplifiying candidate # 2.848 * * * * [progress]: [ 134 / 138 ] simplifiying candidate # 2.848 * * * * [progress]: [ 135 / 138 ] simplifiying candidate # 2.848 * * * * [progress]: [ 136 / 138 ] simplifiying candidate # 2.848 * * * * [progress]: [ 137 / 138 ] simplifiying candidate # 2.848 * * * * [progress]: [ 138 / 138 ] simplifiying candidate # 2.851 * [simplify]: Simplifying: (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x))) (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x)) (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x)) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos 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(+ 1 (cos x)))) (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* (sin x) (sin x))) (- (+ 1 (cos x))) (/ 1/2 (+ 1 (cos x))) (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ 1 (+ 1 (cos x))) (/ (+ 1 (cos x)) (* (sin x) (sin x))) (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (/ (* (sin x) (sin x)) 1) (/ (* (sin x) (sin x)) 1) (/ (+ 1 (cos x)) (sin x)) (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (* (+ 1 (cos x)) 2) (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) (+ (cos x) 1) (+ (cos x) 1) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (/ (pow (sin x) 2) (+ (cos x) 1)) (/ (pow (sin x) 2) (+ (cos x) 1)) 2.855 * * [simplify]: iteration 1: (190 enodes) 2.945 * * [simplify]: iteration 2: (512 enodes) 3.267 * * [simplify]: iteration 3: (1861 enodes) 10.207 * * [simplify]: Extracting #0: cost 101 inf + 0 10.210 * * [simplify]: Extracting #1: cost 1298 inf + 2 10.233 * * [simplify]: Extracting #2: cost 2390 inf + 42523 10.346 * * [simplify]: Extracting #3: cost 935 inf + 455771 10.516 * * [simplify]: Extracting #4: cost 40 inf + 727061 10.694 * * [simplify]: Extracting #5: cost 0 inf + 728979 10.904 * * [simplify]: Extracting #6: cost 0 inf + 727499 11.087 * [simplify]: Simplified to: (expm1 (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log1p (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (exp (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) 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1)) (sin x))) (* (sin x) (sin x)) (* (sin x) (sin x)) (/ (+ (cos x) 1) (sin x)) (- (/ 1 (fma (cos x) (* (cos x) (cos x)) 1)) (/ (* (cos x) (cos x)) (fma (cos x) (* (cos x) (cos x)) 1))) 1 (fma 2 (cos x) 2) (real->posit16 (* (tan (/ x 2)) (sin x))) (fma -1/24 (* x x) (fma (* (* x x) (* x x)) 1/720 1/2)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (fma -1/2 (* x x) (fma (* x x) (* 1/24 (* x x)) 2)) (+ (cos x) 1) (+ (cos x) 1) (fma -1/3 (* (* x x) (* x x)) (fma (* (* x (* x x)) (* x (* x x))) 2/45 (* x x))) (* (sin x) (sin x)) (* (sin x) (sin x)) (fma (* (* x (* x x)) (* x (* x x))) 1/720 (* (* x x) (+ (* (* x x) -1/24) 1/2))) (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x)) 11.098 * * * [progress]: adding candidates to table 12.330 * * [progress]: iteration 3 / 4 12.330 * * * [progress]: picking best candidate 12.350 * * * * [pick]: Picked # 12.350 * * * [progress]: localizing error 12.368 * * * [progress]: generating rewritten candidates 12.368 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 12.374 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 12.382 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 12.398 * * * [progress]: generating series expansions 12.398 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 12.398 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 12.399 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 12.399 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 12.399 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 12.400 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 12.400 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 12.400 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.400 * [taylor]: Taking taylor expansion of 1/2 in x 12.400 * [backup-simplify]: Simplify 1/2 into 1/2 12.400 * [taylor]: Taking taylor expansion of x in x 12.400 * [backup-simplify]: Simplify 0 into 0 12.400 * [backup-simplify]: Simplify 1 into 1 12.400 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.401 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.401 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 12.401 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.401 * [taylor]: Taking taylor expansion of 1/2 in x 12.401 * [backup-simplify]: Simplify 1/2 into 1/2 12.401 * [taylor]: Taking taylor expansion of x in x 12.401 * [backup-simplify]: Simplify 0 into 0 12.401 * [backup-simplify]: Simplify 1 into 1 12.401 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.402 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.402 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 12.403 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.403 * [taylor]: Taking taylor expansion of x in x 12.403 * [backup-simplify]: Simplify 0 into 0 12.403 * [backup-simplify]: Simplify 1 into 1 12.403 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.403 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 12.403 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 12.403 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 12.403 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 12.403 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.403 * [taylor]: Taking taylor expansion of 1/2 in x 12.403 * [backup-simplify]: Simplify 1/2 into 1/2 12.403 * [taylor]: Taking taylor expansion of x in x 12.403 * [backup-simplify]: Simplify 0 into 0 12.403 * [backup-simplify]: Simplify 1 into 1 12.403 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.404 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.404 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 12.404 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.404 * [taylor]: Taking taylor expansion of 1/2 in x 12.404 * [backup-simplify]: Simplify 1/2 into 1/2 12.404 * [taylor]: Taking taylor expansion of x in x 12.404 * [backup-simplify]: Simplify 0 into 0 12.404 * [backup-simplify]: Simplify 1 into 1 12.404 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.405 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.406 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 12.414 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.414 * [taylor]: Taking taylor expansion of x in x 12.414 * [backup-simplify]: Simplify 0 into 0 12.414 * [backup-simplify]: Simplify 1 into 1 12.415 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.415 * [backup-simplify]: Simplify 1/2 into 1/2 12.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.417 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.417 * [backup-simplify]: Simplify (+ 0) into 0 12.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.420 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.423 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 12.424 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 12.425 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 12.427 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 12.427 * [backup-simplify]: Simplify 1/24 into 1/24 12.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.430 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.431 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.432 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 12.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 12.435 * [backup-simplify]: Simplify 0 into 0 12.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.441 * [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 12.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.445 * [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 12.448 * [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 12.449 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 12.449 * [backup-simplify]: Simplify 1/240 into 1/240 12.449 * [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)) 12.449 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 12.449 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 12.449 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 12.449 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 12.450 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.450 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 12.450 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.450 * [taylor]: Taking taylor expansion of 1/2 in x 12.450 * [backup-simplify]: Simplify 1/2 into 1/2 12.450 * [taylor]: Taking taylor expansion of x in x 12.450 * [backup-simplify]: Simplify 0 into 0 12.450 * [backup-simplify]: Simplify 1 into 1 12.450 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.450 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 12.450 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 12.450 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.450 * [taylor]: Taking taylor expansion of 1/2 in x 12.450 * [backup-simplify]: Simplify 1/2 into 1/2 12.450 * [taylor]: Taking taylor expansion of x in x 12.450 * [backup-simplify]: Simplify 0 into 0 12.450 * [backup-simplify]: Simplify 1 into 1 12.450 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.451 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 12.451 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.451 * [taylor]: Taking taylor expansion of x in x 12.451 * [backup-simplify]: Simplify 0 into 0 12.451 * [backup-simplify]: Simplify 1 into 1 12.451 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 12.451 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 12.451 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.451 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 12.451 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.451 * [taylor]: Taking taylor expansion of 1/2 in x 12.451 * [backup-simplify]: Simplify 1/2 into 1/2 12.451 * [taylor]: Taking taylor expansion of x in x 12.451 * [backup-simplify]: Simplify 0 into 0 12.451 * [backup-simplify]: Simplify 1 into 1 12.451 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.451 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 12.451 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 12.451 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.452 * [taylor]: Taking taylor expansion of 1/2 in x 12.452 * [backup-simplify]: Simplify 1/2 into 1/2 12.452 * [taylor]: Taking taylor expansion of x in x 12.452 * [backup-simplify]: Simplify 0 into 0 12.452 * [backup-simplify]: Simplify 1 into 1 12.452 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.452 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 12.452 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.452 * [taylor]: Taking taylor expansion of x in x 12.452 * [backup-simplify]: Simplify 0 into 0 12.452 * [backup-simplify]: Simplify 1 into 1 12.452 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 12.452 * [backup-simplify]: Simplify 0 into 0 12.452 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 12.453 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.453 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.453 * [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 12.454 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 12.454 * [backup-simplify]: Simplify 0 into 0 12.454 * [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 12.454 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.454 * [backup-simplify]: Simplify 0 into 0 12.455 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.455 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.455 * [backup-simplify]: Simplify 0 into 0 12.456 * [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 12.457 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.457 * [backup-simplify]: Simplify 0 into 0 12.457 * [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 12.458 * [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 12.458 * [backup-simplify]: Simplify 0 into 0 12.458 * [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 12.459 * [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 12.459 * [backup-simplify]: Simplify 0 into 0 12.459 * [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)) 12.459 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 12.459 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 12.459 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 12.459 * [taylor]: Taking taylor expansion of -1 in x 12.459 * [backup-simplify]: Simplify -1 into -1 12.459 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 12.459 * [taylor]: Taking taylor expansion of x in x 12.459 * [backup-simplify]: Simplify 0 into 0 12.459 * [backup-simplify]: Simplify 1 into 1 12.459 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 12.459 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.459 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 12.460 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.460 * [taylor]: Taking taylor expansion of -1/2 in x 12.460 * [backup-simplify]: Simplify -1/2 into -1/2 12.460 * [taylor]: Taking taylor expansion of x in x 12.460 * [backup-simplify]: Simplify 0 into 0 12.460 * [backup-simplify]: Simplify 1 into 1 12.460 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.460 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 12.460 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 12.460 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.460 * [taylor]: Taking taylor expansion of -1/2 in x 12.460 * [backup-simplify]: Simplify -1/2 into -1/2 12.460 * [taylor]: Taking taylor expansion of x in x 12.460 * [backup-simplify]: Simplify 0 into 0 12.460 * [backup-simplify]: Simplify 1 into 1 12.460 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.460 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 12.460 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.460 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 12.461 * [taylor]: Taking taylor expansion of -1 in x 12.461 * [backup-simplify]: Simplify -1 into -1 12.461 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 12.461 * [taylor]: Taking taylor expansion of x in x 12.461 * [backup-simplify]: Simplify 0 into 0 12.461 * [backup-simplify]: Simplify 1 into 1 12.461 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 12.461 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.461 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 12.461 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.461 * [taylor]: Taking taylor expansion of -1/2 in x 12.461 * [backup-simplify]: Simplify -1/2 into -1/2 12.461 * [taylor]: Taking taylor expansion of x in x 12.461 * [backup-simplify]: Simplify 0 into 0 12.461 * [backup-simplify]: Simplify 1 into 1 12.461 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.461 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 12.461 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 12.461 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.461 * [taylor]: Taking taylor expansion of -1/2 in x 12.461 * [backup-simplify]: Simplify -1/2 into -1/2 12.461 * [taylor]: Taking taylor expansion of x in x 12.461 * [backup-simplify]: Simplify 0 into 0 12.461 * [backup-simplify]: Simplify 1 into 1 12.461 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.462 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 12.462 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.462 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 12.462 * [backup-simplify]: Simplify (* -1 0) into 0 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 12.463 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.463 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 12.463 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 12.463 * [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 12.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 12.464 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 12.464 * [backup-simplify]: Simplify 0 into 0 12.465 * [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 12.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 12.466 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 12.466 * [backup-simplify]: Simplify 0 into 0 12.467 * [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 12.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 12.469 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 12.469 * [backup-simplify]: Simplify 0 into 0 12.469 * [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 12.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 12.472 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 12.472 * [backup-simplify]: Simplify 0 into 0 12.472 * [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 12.474 * [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 12.475 * [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 12.475 * [backup-simplify]: Simplify 0 into 0 12.476 * [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 12.477 * [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 12.479 * [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 12.479 * [backup-simplify]: Simplify 0 into 0 12.479 * [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)) 12.480 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 12.480 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 12.480 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 12.480 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 12.480 * [taylor]: Taking taylor expansion of (sin x) in x 12.480 * [taylor]: Taking taylor expansion of x in x 12.480 * [backup-simplify]: Simplify 0 into 0 12.480 * [backup-simplify]: Simplify 1 into 1 12.480 * [taylor]: Taking taylor expansion of x in x 12.480 * [backup-simplify]: Simplify 0 into 0 12.480 * [backup-simplify]: Simplify 1 into 1 12.480 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 12.481 * [backup-simplify]: Simplify (/ 1 1) into 1 12.481 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 12.481 * [taylor]: Taking taylor expansion of (sin x) in x 12.481 * [taylor]: Taking taylor expansion of x in x 12.481 * [backup-simplify]: Simplify 0 into 0 12.481 * [backup-simplify]: Simplify 1 into 1 12.481 * [taylor]: Taking taylor expansion of x in x 12.481 * [backup-simplify]: Simplify 0 into 0 12.481 * [backup-simplify]: Simplify 1 into 1 12.482 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 12.482 * [backup-simplify]: Simplify (/ 1 1) into 1 12.482 * [backup-simplify]: Simplify 1 into 1 12.483 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 12.484 * [backup-simplify]: Simplify 0 into 0 12.485 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 12.486 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 12.486 * [backup-simplify]: Simplify -1/6 into -1/6 12.488 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 12.489 * [backup-simplify]: Simplify 0 into 0 12.492 * [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 12.494 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 12.494 * [backup-simplify]: Simplify 1/120 into 1/120 12.494 * [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))) 12.494 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 12.494 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 12.494 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 12.494 * [taylor]: Taking taylor expansion of x in x 12.494 * [backup-simplify]: Simplify 0 into 0 12.494 * [backup-simplify]: Simplify 1 into 1 12.494 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 12.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.494 * [taylor]: Taking taylor expansion of x in x 12.494 * [backup-simplify]: Simplify 0 into 0 12.494 * [backup-simplify]: Simplify 1 into 1 12.495 * [backup-simplify]: Simplify (/ 1 1) into 1 12.495 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.495 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 12.495 * [taylor]: Taking taylor expansion of x in x 12.495 * [backup-simplify]: Simplify 0 into 0 12.495 * [backup-simplify]: Simplify 1 into 1 12.495 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 12.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.495 * [taylor]: Taking taylor expansion of x in x 12.495 * [backup-simplify]: Simplify 0 into 0 12.495 * [backup-simplify]: Simplify 1 into 1 12.495 * [backup-simplify]: Simplify (/ 1 1) into 1 12.495 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.496 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 12.496 * [backup-simplify]: Simplify 0 into 0 12.496 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 12.496 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 12.497 * [backup-simplify]: Simplify 0 into 0 12.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 12.498 * [backup-simplify]: Simplify 0 into 0 12.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 12.500 * [backup-simplify]: Simplify 0 into 0 12.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 12.501 * [backup-simplify]: Simplify 0 into 0 12.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 12.504 * [backup-simplify]: Simplify 0 into 0 12.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 12.506 * [backup-simplify]: Simplify 0 into 0 12.506 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 12.506 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 12.506 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 12.506 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 12.506 * [taylor]: Taking taylor expansion of -1 in x 12.506 * [backup-simplify]: Simplify -1 into -1 12.506 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 12.506 * [taylor]: Taking taylor expansion of x in x 12.506 * [backup-simplify]: Simplify 0 into 0 12.506 * [backup-simplify]: Simplify 1 into 1 12.507 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 12.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.507 * [taylor]: Taking taylor expansion of -1 in x 12.507 * [backup-simplify]: Simplify -1 into -1 12.507 * [taylor]: Taking taylor expansion of x in x 12.507 * [backup-simplify]: Simplify 0 into 0 12.507 * [backup-simplify]: Simplify 1 into 1 12.507 * [backup-simplify]: Simplify (/ -1 1) into -1 12.507 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 12.507 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 12.507 * [taylor]: Taking taylor expansion of -1 in x 12.507 * [backup-simplify]: Simplify -1 into -1 12.507 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 12.507 * [taylor]: Taking taylor expansion of x in x 12.507 * [backup-simplify]: Simplify 0 into 0 12.507 * [backup-simplify]: Simplify 1 into 1 12.507 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 12.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.507 * [taylor]: Taking taylor expansion of -1 in x 12.507 * [backup-simplify]: Simplify -1 into -1 12.507 * [taylor]: Taking taylor expansion of x in x 12.507 * [backup-simplify]: Simplify 0 into 0 12.507 * [backup-simplify]: Simplify 1 into 1 12.508 * [backup-simplify]: Simplify (/ -1 1) into -1 12.508 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 12.508 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 12.508 * [backup-simplify]: Simplify (* -1 0) into 0 12.508 * [backup-simplify]: Simplify 0 into 0 12.509 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 12.509 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 12.509 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 12.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 12.511 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 12.511 * [backup-simplify]: Simplify 0 into 0 12.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 12.513 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 12.513 * [backup-simplify]: Simplify 0 into 0 12.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 12.516 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 12.516 * [backup-simplify]: Simplify 0 into 0 12.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 12.520 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 12.520 * [backup-simplify]: Simplify 0 into 0 12.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 12.526 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 12.526 * [backup-simplify]: Simplify 0 into 0 12.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 12.531 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 12.531 * [backup-simplify]: Simplify 0 into 0 12.532 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 12.532 * * * * [progress]: [ 3 / 3 ] generating series at (2) 12.532 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 12.532 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 12.532 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 12.532 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 12.532 * [taylor]: Taking taylor expansion of (sin x) in x 12.532 * [taylor]: Taking taylor expansion of x in x 12.532 * [backup-simplify]: Simplify 0 into 0 12.532 * [backup-simplify]: Simplify 1 into 1 12.532 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 12.532 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 12.532 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 12.532 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.532 * [taylor]: Taking taylor expansion of 1/2 in x 12.532 * [backup-simplify]: Simplify 1/2 into 1/2 12.532 * [taylor]: Taking taylor expansion of x in x 12.532 * [backup-simplify]: Simplify 0 into 0 12.532 * [backup-simplify]: Simplify 1 into 1 12.538 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.539 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.539 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 12.539 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.539 * [taylor]: Taking taylor expansion of 1/2 in x 12.540 * [backup-simplify]: Simplify 1/2 into 1/2 12.540 * [taylor]: Taking taylor expansion of x in x 12.540 * [backup-simplify]: Simplify 0 into 0 12.540 * [backup-simplify]: Simplify 1 into 1 12.540 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.541 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.542 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 12.542 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.542 * [taylor]: Taking taylor expansion of x in x 12.542 * [backup-simplify]: Simplify 0 into 0 12.542 * [backup-simplify]: Simplify 1 into 1 12.543 * [backup-simplify]: Simplify (* 0 1/2) into 0 12.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.544 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.545 * [backup-simplify]: Simplify (+ 0) into 0 12.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 12.547 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 12.547 * [backup-simplify]: Simplify (* 1 1) into 1 12.548 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.548 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 12.548 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 12.548 * [taylor]: Taking taylor expansion of (sin x) in x 12.548 * [taylor]: Taking taylor expansion of x in x 12.548 * [backup-simplify]: Simplify 0 into 0 12.548 * [backup-simplify]: Simplify 1 into 1 12.548 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 12.548 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 12.548 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 12.548 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.548 * [taylor]: Taking taylor expansion of 1/2 in x 12.548 * [backup-simplify]: Simplify 1/2 into 1/2 12.548 * [taylor]: Taking taylor expansion of x in x 12.548 * [backup-simplify]: Simplify 0 into 0 12.548 * [backup-simplify]: Simplify 1 into 1 12.549 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.549 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.549 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 12.549 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.549 * [taylor]: Taking taylor expansion of 1/2 in x 12.550 * [backup-simplify]: Simplify 1/2 into 1/2 12.550 * [taylor]: Taking taylor expansion of x in x 12.550 * [backup-simplify]: Simplify 0 into 0 12.550 * [backup-simplify]: Simplify 1 into 1 12.550 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.551 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.552 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 12.552 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.552 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.552 * [taylor]: Taking taylor expansion of x in x 12.552 * [backup-simplify]: Simplify 0 into 0 12.552 * [backup-simplify]: Simplify 1 into 1 12.552 * [backup-simplify]: Simplify (* 0 1/2) into 0 12.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.554 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.554 * [backup-simplify]: Simplify (+ 0) into 0 12.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.555 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 12.555 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 12.555 * [backup-simplify]: Simplify (* 1 1) into 1 12.556 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.556 * [backup-simplify]: Simplify 1/2 into 1/2 12.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.557 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 12.558 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 12.559 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 12.560 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.560 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 12.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.561 * [backup-simplify]: Simplify 0 into 0 12.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.563 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.564 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 12.566 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 12.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 12.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.568 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 12.568 * [backup-simplify]: Simplify -1/24 into -1/24 12.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.571 * [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 12.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.574 * [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 12.575 * [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 12.576 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.578 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 12.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 12.579 * [backup-simplify]: Simplify 0 into 0 12.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.583 * [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 12.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.585 * [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 12.586 * [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 12.588 * [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 12.590 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 12.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.591 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 12.592 * [backup-simplify]: Simplify 1/720 into 1/720 12.592 * [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))) 12.592 * [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)))) 12.592 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 12.592 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 12.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.592 * [taylor]: Taking taylor expansion of x in x 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify 1 into 1 12.592 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 12.592 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 12.592 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.592 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 12.592 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.592 * [taylor]: Taking taylor expansion of 1/2 in x 12.592 * [backup-simplify]: Simplify 1/2 into 1/2 12.592 * [taylor]: Taking taylor expansion of x in x 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify 1 into 1 12.592 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.593 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 12.593 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 12.593 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.593 * [taylor]: Taking taylor expansion of 1/2 in x 12.593 * [backup-simplify]: Simplify 1/2 into 1/2 12.593 * [taylor]: Taking taylor expansion of x in x 12.593 * [backup-simplify]: Simplify 0 into 0 12.593 * [backup-simplify]: Simplify 1 into 1 12.593 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.593 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 12.593 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.593 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 12.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.593 * [taylor]: Taking taylor expansion of x in x 12.593 * [backup-simplify]: Simplify 0 into 0 12.593 * [backup-simplify]: Simplify 1 into 1 12.593 * [backup-simplify]: Simplify (/ 1 1) into 1 12.593 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.593 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 12.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.594 * [taylor]: Taking taylor expansion of x in x 12.594 * [backup-simplify]: Simplify 0 into 0 12.594 * [backup-simplify]: Simplify 1 into 1 12.594 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 12.594 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 12.594 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.594 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 12.594 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.594 * [taylor]: Taking taylor expansion of 1/2 in x 12.594 * [backup-simplify]: Simplify 1/2 into 1/2 12.594 * [taylor]: Taking taylor expansion of x in x 12.594 * [backup-simplify]: Simplify 0 into 0 12.594 * [backup-simplify]: Simplify 1 into 1 12.594 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.594 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 12.594 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 12.594 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.594 * [taylor]: Taking taylor expansion of 1/2 in x 12.594 * [backup-simplify]: Simplify 1/2 into 1/2 12.594 * [taylor]: Taking taylor expansion of x in x 12.594 * [backup-simplify]: Simplify 0 into 0 12.594 * [backup-simplify]: Simplify 1 into 1 12.594 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.595 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 12.595 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.595 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 12.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.595 * [taylor]: Taking taylor expansion of x in x 12.595 * [backup-simplify]: Simplify 0 into 0 12.595 * [backup-simplify]: Simplify 1 into 1 12.595 * [backup-simplify]: Simplify (/ 1 1) into 1 12.595 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.595 * [backup-simplify]: Simplify (* 1 1) into 1 12.595 * [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))) 12.596 * [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))) 12.596 * [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))) 12.596 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 12.596 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 12.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 12.597 * [backup-simplify]: Simplify 0 into 0 12.597 * [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 12.597 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 12.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 12.599 * [backup-simplify]: Simplify 0 into 0 12.599 * [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 12.599 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 12.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 12.601 * [backup-simplify]: Simplify 0 into 0 12.601 * [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 12.602 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 12.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.604 * [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 12.604 * [backup-simplify]: Simplify 0 into 0 12.604 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.605 * [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 12.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.607 * [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 12.607 * [backup-simplify]: Simplify 0 into 0 12.608 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.609 * [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 12.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.611 * [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 12.611 * [backup-simplify]: Simplify 0 into 0 12.612 * [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))) 12.612 * [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)))) 12.612 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 12.612 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 12.612 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.612 * [taylor]: Taking taylor expansion of x in x 12.612 * [backup-simplify]: Simplify 0 into 0 12.612 * [backup-simplify]: Simplify 1 into 1 12.612 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 12.612 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 12.612 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.612 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 12.612 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.612 * [taylor]: Taking taylor expansion of -1/2 in x 12.612 * [backup-simplify]: Simplify -1/2 into -1/2 12.612 * [taylor]: Taking taylor expansion of x in x 12.612 * [backup-simplify]: Simplify 0 into 0 12.612 * [backup-simplify]: Simplify 1 into 1 12.612 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.612 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 12.612 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 12.612 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.612 * [taylor]: Taking taylor expansion of -1/2 in x 12.612 * [backup-simplify]: Simplify -1/2 into -1/2 12.612 * [taylor]: Taking taylor expansion of x in x 12.612 * [backup-simplify]: Simplify 0 into 0 12.612 * [backup-simplify]: Simplify 1 into 1 12.613 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.613 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 12.613 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.613 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 12.613 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.613 * [taylor]: Taking taylor expansion of -1 in x 12.613 * [backup-simplify]: Simplify -1 into -1 12.613 * [taylor]: Taking taylor expansion of x in x 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [backup-simplify]: Simplify 1 into 1 12.613 * [backup-simplify]: Simplify (/ -1 1) into -1 12.613 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 12.613 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 12.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.613 * [taylor]: Taking taylor expansion of x in x 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [backup-simplify]: Simplify 1 into 1 12.613 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 12.613 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 12.613 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.613 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 12.613 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.613 * [taylor]: Taking taylor expansion of -1/2 in x 12.614 * [backup-simplify]: Simplify -1/2 into -1/2 12.614 * [taylor]: Taking taylor expansion of x in x 12.614 * [backup-simplify]: Simplify 0 into 0 12.614 * [backup-simplify]: Simplify 1 into 1 12.614 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.614 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 12.614 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 12.614 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.614 * [taylor]: Taking taylor expansion of -1/2 in x 12.614 * [backup-simplify]: Simplify -1/2 into -1/2 12.614 * [taylor]: Taking taylor expansion of x in x 12.614 * [backup-simplify]: Simplify 0 into 0 12.614 * [backup-simplify]: Simplify 1 into 1 12.614 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.614 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 12.614 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.614 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 12.614 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.614 * [taylor]: Taking taylor expansion of -1 in x 12.614 * [backup-simplify]: Simplify -1 into -1 12.614 * [taylor]: Taking taylor expansion of x in x 12.615 * [backup-simplify]: Simplify 0 into 0 12.615 * [backup-simplify]: Simplify 1 into 1 12.615 * [backup-simplify]: Simplify (/ -1 1) into -1 12.615 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 12.615 * [backup-simplify]: Simplify (* 1 1) into 1 12.615 * [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))) 12.615 * [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))) 12.615 * [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))) 12.616 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 12.616 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 12.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 12.617 * [backup-simplify]: Simplify 0 into 0 12.617 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.617 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 12.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 12.618 * [backup-simplify]: Simplify 0 into 0 12.619 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.619 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 12.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 12.621 * [backup-simplify]: Simplify 0 into 0 12.621 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.622 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 12.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.624 * [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 12.624 * [backup-simplify]: Simplify 0 into 0 12.624 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.625 * [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 12.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.627 * [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 12.627 * [backup-simplify]: Simplify 0 into 0 12.627 * [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 12.633 * [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 12.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.635 * [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 12.635 * [backup-simplify]: Simplify 0 into 0 12.636 * [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))) 12.636 * * * [progress]: simplifying candidates 12.636 * * * * [progress]: [ 1 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 2 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 3 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 4 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 5 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 6 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 7 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 8 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 9 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 10 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 11 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 12 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 13 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 14 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 15 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 16 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 17 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 18 / 123 ] simplifiying candidate # 12.636 * * * * [progress]: [ 19 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 20 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 21 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 22 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 23 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 24 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 25 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 26 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 27 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 28 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 29 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 30 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 31 / 123 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))))> 12.637 * * * * [progress]: [ 32 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 33 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 34 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 35 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 36 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 37 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 38 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 39 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 40 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 41 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 42 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 43 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 44 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 45 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 46 / 123 ] simplifiying candidate # 12.637 * * * * [progress]: [ 47 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 48 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 49 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 50 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 51 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 52 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 53 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 54 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 55 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 56 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 57 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 58 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 59 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 60 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 61 / 123 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))> 12.638 * * * * [progress]: [ 62 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 63 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 64 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 65 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 66 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 67 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 68 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 69 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 70 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 71 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 72 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 73 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 74 / 123 ] simplifiying candidate # 12.638 * * * * [progress]: [ 75 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 76 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 77 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 78 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 79 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 80 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 81 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 82 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 83 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 84 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 85 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 86 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 87 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 88 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 89 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 90 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 91 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 92 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 93 / 123 ] simplifiying candidate # 12.639 * * * * [progress]: [ 94 / 123 ] 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candidate # 12.640 * * * * [progress]: [ 110 / 123 ] simplifiying candidate # 12.640 * * * * [progress]: [ 111 / 123 ] simplifiying candidate # 12.640 * * * * [progress]: [ 112 / 123 ] simplifiying candidate # 12.640 * * * * [progress]: [ 113 / 123 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))> 12.640 * * * * [progress]: [ 114 / 123 ] simplifiying candidate # 12.640 * * * * [progress]: [ 115 / 123 ] simplifiying candidate # 12.640 * * * * [progress]: [ 116 / 123 ] simplifiying candidate # 12.640 * * * * [progress]: [ 117 / 123 ] simplifiying candidate # 12.640 * * * * [progress]: [ 118 / 123 ] simplifiying candidate # 12.640 * * * * [progress]: [ 119 / 123 ] simplifiying candidate # 12.640 * * * * [progress]: [ 120 / 123 ] simplifiying candidate # 12.640 * * * * [progress]: [ 121 / 123 ] simplifiying candidate # 12.640 * * * * [progress]: [ 122 / 123 ] simplifiying candidate # 12.640 * * * * [progress]: [ 123 / 123 ] simplifiying candidate # 12.641 * [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))) 12.643 * * [simplify]: iteration 1: (172 enodes) 12.681 * * [simplify]: iteration 2: (449 enodes) 12.934 * * [simplify]: iteration 3: (1656 enodes) 21.038 * * [simplify]: Extracting #0: cost 107 inf + 0 21.041 * * [simplify]: Extracting #1: cost 773 inf + 1 21.050 * * [simplify]: Extracting #2: cost 1423 inf + 10096 21.078 * * [simplify]: Extracting #3: cost 1027 inf + 87482 21.147 * * [simplify]: Extracting #4: cost 284 inf + 329866 21.248 * * [simplify]: Extracting #5: cost 20 inf + 424470 21.353 * * [simplify]: Extracting #6: cost 0 inf + 432316 21.455 * [simplify]: Simplified to: (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (/ (sqrt x) (cbrt (tan (/ x 2))))) (/ (cbrt (tan (/ x 2))) (sqrt x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (cbrt (tan (/ x 2))) x) (/ (/ (sqrt (tan (/ x 2))) (cbrt x)) (cbrt x)) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (tan (/ x 2))) (/ (sqrt (tan (/ x 2))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) 1 (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (/ (tan (/ x 2)) (cbrt x)) (cbrt x)) (/ (tan (/ x 2)) (sqrt x)) (tan (/ x 2)) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* (cos (/ x 2)) x) (real->posit16 (/ (tan (/ x 2)) x)) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (log (/ (sin x) x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (* (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (/ (sqrt x) (cbrt (sin x)))) (/ (cbrt (sin x)) (sqrt x)) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) x) (/ (/ (sqrt (sin x)) (cbrt x)) (cbrt x)) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (sqrt (sin x)) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) 1 (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (sin x) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log1p (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (exp (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (cbrt (/ (* (tan (/ x 2)) (sin x)) (* x x))) (cbrt (/ (* (tan (/ x 2)) (sin x)) (* x x)))) (cbrt (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (sqrt (/ (* (tan (/ x 2)) (sin x)) (* x x))) (sqrt (/ (* (tan (/ x 2)) (sin x)) (* x 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 (/ (sin x) x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (sqrt (/ (sin x) x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (sqrt (/ (tan (/ x 2)) x)) (/ (sqrt (sin x)) (sqrt x))) (* (sqrt (/ (tan (/ x 2)) x)) (/ (sqrt (sin x)) (sqrt x))) (* (/ (/ (sqrt (sin x)) (sqrt x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (/ (sqrt (sin x)) (sqrt x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (* (cbrt (/ (tan (/ x 2)) x)) (/ (sin x) x)) (cbrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (tan (/ x 2)) x)) (/ (sin x) x)) (/ (/ (sin x) x) (* (/ (cbrt x) (cbrt (tan (/ x 2)))) (/ (cbrt x) (cbrt (tan (/ x 2)))))) (* (/ (cbrt (tan (/ x 2))) (/ (sqrt x) (cbrt (tan (/ x 2))))) (/ (sin x) x)) (* (* (/ (sin x) x) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))) (* (/ (/ (sin x) x) (* (cbrt x) (cbrt x))) (sqrt (tan (/ x 2)))) (/ (/ (* (sin x) (sqrt (tan (/ x 2)))) (sqrt x)) x) (* (/ (sin x) x) (sqrt (tan (/ x 2)))) (/ (sin x) (* x (* (cbrt x) (cbrt x)))) (/ (sin x) (* x (sqrt x))) (/ (sin x) x) (/ (sin x) x) (* (tan (/ x 2)) (/ (sin x) x)) (* (/ (tan (/ x 2)) x) (cbrt (/ (sin x) x))) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (/ (* (tan (/ x 2)) (/ (cbrt (sin x)) (cbrt x))) x) (/ (* (/ (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))) (/ (/ (sqrt (sin x)) (sqrt x)) (/ x (tan (/ x 2)))) (/ (* (/ (sqrt (sin x)) x) (tan (/ x 2))) x) (* (/ (tan (/ x 2)) x) (/ (sin x) (cbrt x))) (/ (* (tan (/ x 2)) (/ (sin x) (sqrt x))) x) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (/ (tan (/ x 2)) x) x) (* (tan (/ x 2)) (/ (sin x) x)) (* (tan (/ x 2)) (/ (sin x) x)) (real->posit16 (/ (* (tan (/ x 2)) (sin x)) (* x x))) (fma 1/240 (* (* x x) (* x x)) (fma (* x x) 1/24 1/2)) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (fma -1/6 (* x x) (fma 1/120 (* (* x x) (* x x)) 1)) (/ (sin x) x) (/ (sin x) x) (fma (* x x) -1/24 (fma (* (* x x) (* x x)) 1/720 1/2)) (* (/ (sin x) (cos (* 1/2 x))) (/ (sin (* 1/2 x)) (* x x))) (* (/ (sin x) (cos (* 1/2 x))) (/ (sin (* 1/2 x)) (* x x))) 21.463 * * * [progress]: adding candidates to table 22.515 * * [progress]: iteration 4 / 4 22.515 * * * [progress]: picking best candidate 22.524 * * * * [pick]: Picked # 22.524 * * * [progress]: localizing error 22.546 * * * [progress]: generating rewritten candidates 22.546 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 22.560 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 22.568 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 22.638 * * * [progress]: generating series expansions 22.638 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 22.638 * [backup-simplify]: Simplify (* (tan (/ x 2)) (/ 1 x)) into (/ (tan (* 1/2 x)) x) 22.638 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 22.638 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 22.638 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 22.638 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 22.638 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 22.638 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 22.638 * [taylor]: Taking taylor expansion of 1/2 in x 22.638 * [backup-simplify]: Simplify 1/2 into 1/2 22.638 * [taylor]: Taking taylor expansion of x in x 22.638 * [backup-simplify]: Simplify 0 into 0 22.638 * [backup-simplify]: Simplify 1 into 1 22.639 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.640 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.640 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 22.640 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 22.640 * [taylor]: Taking taylor expansion of 1/2 in x 22.640 * [backup-simplify]: Simplify 1/2 into 1/2 22.640 * [taylor]: Taking taylor expansion of x in x 22.640 * [backup-simplify]: Simplify 0 into 0 22.640 * [backup-simplify]: Simplify 1 into 1 22.641 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.641 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.642 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 22.643 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.643 * [taylor]: Taking taylor expansion of x in x 22.643 * [backup-simplify]: Simplify 0 into 0 22.643 * [backup-simplify]: Simplify 1 into 1 22.643 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.643 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 22.643 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 22.643 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 22.643 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 22.643 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 22.643 * [taylor]: Taking taylor expansion of 1/2 in x 22.643 * [backup-simplify]: Simplify 1/2 into 1/2 22.643 * [taylor]: Taking taylor expansion of x in x 22.643 * [backup-simplify]: Simplify 0 into 0 22.643 * [backup-simplify]: Simplify 1 into 1 22.644 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.645 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.645 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 22.645 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 22.645 * [taylor]: Taking taylor expansion of 1/2 in x 22.645 * [backup-simplify]: Simplify 1/2 into 1/2 22.645 * [taylor]: Taking taylor expansion of x in x 22.645 * [backup-simplify]: Simplify 0 into 0 22.645 * [backup-simplify]: Simplify 1 into 1 22.645 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.646 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.647 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 22.647 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.647 * [taylor]: Taking taylor expansion of x in x 22.647 * [backup-simplify]: Simplify 0 into 0 22.647 * [backup-simplify]: Simplify 1 into 1 22.648 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.648 * [backup-simplify]: Simplify 1/2 into 1/2 22.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 22.650 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.650 * [backup-simplify]: Simplify (+ 0) into 0 22.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 22.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 22.652 * [backup-simplify]: Simplify 0 into 0 22.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.654 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 22.655 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 22.657 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 22.658 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 22.658 * [backup-simplify]: Simplify 1/24 into 1/24 22.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 22.661 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 22.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 22.663 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 22.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 22.666 * [backup-simplify]: Simplify 0 into 0 22.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 22.671 * [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 22.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.675 * [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 22.678 * [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 22.679 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 22.680 * [backup-simplify]: Simplify 1/240 into 1/240 22.680 * [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)) 22.680 * [backup-simplify]: Simplify (* (tan (/ (/ 1 x) 2)) (/ 1 (/ 1 x))) into (* (tan (/ 1/2 x)) x) 22.680 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 22.680 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 22.680 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 22.680 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.680 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 22.680 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 22.680 * [taylor]: Taking taylor expansion of 1/2 in x 22.680 * [backup-simplify]: Simplify 1/2 into 1/2 22.680 * [taylor]: Taking taylor expansion of x in x 22.680 * [backup-simplify]: Simplify 0 into 0 22.680 * [backup-simplify]: Simplify 1 into 1 22.681 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.681 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 22.681 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 22.681 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 22.681 * [taylor]: Taking taylor expansion of 1/2 in x 22.681 * [backup-simplify]: Simplify 1/2 into 1/2 22.681 * [taylor]: Taking taylor expansion of x in x 22.681 * [backup-simplify]: Simplify 0 into 0 22.681 * [backup-simplify]: Simplify 1 into 1 22.681 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.681 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 22.681 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.681 * [taylor]: Taking taylor expansion of x in x 22.681 * [backup-simplify]: Simplify 0 into 0 22.681 * [backup-simplify]: Simplify 1 into 1 22.681 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 22.681 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 22.681 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.681 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 22.681 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 22.681 * [taylor]: Taking taylor expansion of 1/2 in x 22.681 * [backup-simplify]: Simplify 1/2 into 1/2 22.681 * [taylor]: Taking taylor expansion of x in x 22.681 * [backup-simplify]: Simplify 0 into 0 22.681 * [backup-simplify]: Simplify 1 into 1 22.682 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.682 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 22.682 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 22.682 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 22.682 * [taylor]: Taking taylor expansion of 1/2 in x 22.682 * [backup-simplify]: Simplify 1/2 into 1/2 22.682 * [taylor]: Taking taylor expansion of x in x 22.682 * [backup-simplify]: Simplify 0 into 0 22.682 * [backup-simplify]: Simplify 1 into 1 22.682 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.682 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 22.682 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.682 * [taylor]: Taking taylor expansion of x in x 22.682 * [backup-simplify]: Simplify 0 into 0 22.682 * [backup-simplify]: Simplify 1 into 1 22.683 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 22.683 * [backup-simplify]: Simplify 0 into 0 22.683 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 22.683 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.683 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.683 * [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 22.684 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 22.684 * [backup-simplify]: Simplify 0 into 0 22.684 * [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 22.685 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.685 * [backup-simplify]: Simplify 0 into 0 22.685 * [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 22.686 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 22.686 * [backup-simplify]: Simplify 0 into 0 22.686 * [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 22.687 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 22.687 * [backup-simplify]: Simplify 0 into 0 22.687 * [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 22.688 * [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 22.688 * [backup-simplify]: Simplify 0 into 0 22.688 * [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 22.689 * [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 22.689 * [backup-simplify]: Simplify 0 into 0 22.689 * [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)) 22.690 * [backup-simplify]: Simplify (* (tan (/ (/ 1 (- x)) 2)) (/ 1 (/ 1 (- x)))) into (* -1 (* x (tan (/ -1/2 x)))) 22.690 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 22.690 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 22.690 * [taylor]: Taking taylor expansion of -1 in x 22.690 * [backup-simplify]: Simplify -1 into -1 22.690 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 22.690 * [taylor]: Taking taylor expansion of x in x 22.690 * [backup-simplify]: Simplify 0 into 0 22.690 * [backup-simplify]: Simplify 1 into 1 22.690 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 22.690 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 22.690 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 22.690 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 22.690 * [taylor]: Taking taylor expansion of -1/2 in x 22.690 * [backup-simplify]: Simplify -1/2 into -1/2 22.690 * [taylor]: Taking taylor expansion of x in x 22.690 * [backup-simplify]: Simplify 0 into 0 22.690 * [backup-simplify]: Simplify 1 into 1 22.690 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.690 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 22.690 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 22.690 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 22.690 * [taylor]: Taking taylor expansion of -1/2 in x 22.690 * [backup-simplify]: Simplify -1/2 into -1/2 22.690 * [taylor]: Taking taylor expansion of x in x 22.690 * [backup-simplify]: Simplify 0 into 0 22.690 * [backup-simplify]: Simplify 1 into 1 22.691 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.691 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 22.691 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 22.691 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 22.691 * [taylor]: Taking taylor expansion of -1 in x 22.691 * [backup-simplify]: Simplify -1 into -1 22.691 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 22.691 * [taylor]: Taking taylor expansion of x in x 22.691 * [backup-simplify]: Simplify 0 into 0 22.691 * [backup-simplify]: Simplify 1 into 1 22.691 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 22.691 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 22.691 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 22.691 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 22.691 * [taylor]: Taking taylor expansion of -1/2 in x 22.691 * [backup-simplify]: Simplify -1/2 into -1/2 22.691 * [taylor]: Taking taylor expansion of x in x 22.691 * [backup-simplify]: Simplify 0 into 0 22.691 * [backup-simplify]: Simplify 1 into 1 22.691 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.691 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 22.691 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 22.691 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 22.691 * [taylor]: Taking taylor expansion of -1/2 in x 22.691 * [backup-simplify]: Simplify -1/2 into -1/2 22.691 * [taylor]: Taking taylor expansion of x in x 22.691 * [backup-simplify]: Simplify 0 into 0 22.691 * [backup-simplify]: Simplify 1 into 1 22.692 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.692 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 22.692 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 22.692 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 22.692 * [backup-simplify]: Simplify (* -1 0) into 0 22.692 * [backup-simplify]: Simplify 0 into 0 22.692 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 22.693 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 22.693 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 22.693 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 22.693 * [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 22.694 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 22.695 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 22.695 * [backup-simplify]: Simplify 0 into 0 22.695 * [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 22.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 22.697 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 22.697 * [backup-simplify]: Simplify 0 into 0 22.697 * [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 22.698 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 22.699 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 22.699 * [backup-simplify]: Simplify 0 into 0 22.699 * [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 22.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 22.702 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 22.702 * [backup-simplify]: Simplify 0 into 0 22.702 * [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 22.704 * [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 22.705 * [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 22.705 * [backup-simplify]: Simplify 0 into 0 22.706 * [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 22.707 * [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 22.710 * [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 22.710 * [backup-simplify]: Simplify 0 into 0 22.710 * [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)) 22.710 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 22.710 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 22.710 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 22.710 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 22.710 * [taylor]: Taking taylor expansion of (sin x) in x 22.710 * [taylor]: Taking taylor expansion of x in x 22.710 * [backup-simplify]: Simplify 0 into 0 22.710 * [backup-simplify]: Simplify 1 into 1 22.710 * [taylor]: Taking taylor expansion of x in x 22.710 * [backup-simplify]: Simplify 0 into 0 22.710 * [backup-simplify]: Simplify 1 into 1 22.711 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 22.711 * [backup-simplify]: Simplify (/ 1 1) into 1 22.711 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 22.711 * [taylor]: Taking taylor expansion of (sin x) in x 22.711 * [taylor]: Taking taylor expansion of x in x 22.711 * [backup-simplify]: Simplify 0 into 0 22.711 * [backup-simplify]: Simplify 1 into 1 22.711 * [taylor]: Taking taylor expansion of x in x 22.712 * [backup-simplify]: Simplify 0 into 0 22.712 * [backup-simplify]: Simplify 1 into 1 22.712 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 22.713 * [backup-simplify]: Simplify (/ 1 1) into 1 22.713 * [backup-simplify]: Simplify 1 into 1 22.713 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 22.714 * [backup-simplify]: Simplify 0 into 0 22.716 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 22.717 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 22.717 * [backup-simplify]: Simplify -1/6 into -1/6 22.719 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 22.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 22.720 * [backup-simplify]: Simplify 0 into 0 22.723 * [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 22.725 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 22.725 * [backup-simplify]: Simplify 1/120 into 1/120 22.725 * [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))) 22.725 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 22.725 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 22.725 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 22.725 * [taylor]: Taking taylor expansion of x in x 22.725 * [backup-simplify]: Simplify 0 into 0 22.725 * [backup-simplify]: Simplify 1 into 1 22.725 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 22.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 22.725 * [taylor]: Taking taylor expansion of x in x 22.725 * [backup-simplify]: Simplify 0 into 0 22.725 * [backup-simplify]: Simplify 1 into 1 22.726 * [backup-simplify]: Simplify (/ 1 1) into 1 22.726 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 22.726 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 22.726 * [taylor]: Taking taylor expansion of x in x 22.726 * [backup-simplify]: Simplify 0 into 0 22.726 * [backup-simplify]: Simplify 1 into 1 22.726 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 22.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 22.726 * [taylor]: Taking taylor expansion of x in x 22.726 * [backup-simplify]: Simplify 0 into 0 22.726 * [backup-simplify]: Simplify 1 into 1 22.729 * [backup-simplify]: Simplify (/ 1 1) into 1 22.729 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 22.730 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 22.730 * [backup-simplify]: Simplify 0 into 0 22.730 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 22.730 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 22.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 22.731 * [backup-simplify]: Simplify 0 into 0 22.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 22.733 * [backup-simplify]: Simplify 0 into 0 22.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 22.734 * [backup-simplify]: Simplify 0 into 0 22.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 22.736 * [backup-simplify]: Simplify 0 into 0 22.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 22.739 * [backup-simplify]: Simplify 0 into 0 22.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 22.742 * [backup-simplify]: Simplify 0 into 0 22.742 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 22.742 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 22.742 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 22.742 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 22.742 * [taylor]: Taking taylor expansion of -1 in x 22.742 * [backup-simplify]: Simplify -1 into -1 22.742 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 22.742 * [taylor]: Taking taylor expansion of x in x 22.742 * [backup-simplify]: Simplify 0 into 0 22.742 * [backup-simplify]: Simplify 1 into 1 22.742 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 22.742 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.742 * [taylor]: Taking taylor expansion of -1 in x 22.742 * [backup-simplify]: Simplify -1 into -1 22.742 * [taylor]: Taking taylor expansion of x in x 22.742 * [backup-simplify]: Simplify 0 into 0 22.742 * [backup-simplify]: Simplify 1 into 1 22.743 * [backup-simplify]: Simplify (/ -1 1) into -1 22.743 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 22.743 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 22.743 * [taylor]: Taking taylor expansion of -1 in x 22.743 * [backup-simplify]: Simplify -1 into -1 22.743 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 22.743 * [taylor]: Taking taylor expansion of x in x 22.743 * [backup-simplify]: Simplify 0 into 0 22.743 * [backup-simplify]: Simplify 1 into 1 22.743 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 22.743 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.743 * [taylor]: Taking taylor expansion of -1 in x 22.743 * [backup-simplify]: Simplify -1 into -1 22.743 * [taylor]: Taking taylor expansion of x in x 22.743 * [backup-simplify]: Simplify 0 into 0 22.743 * [backup-simplify]: Simplify 1 into 1 22.744 * [backup-simplify]: Simplify (/ -1 1) into -1 22.744 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 22.744 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 22.745 * [backup-simplify]: Simplify (* -1 0) into 0 22.745 * [backup-simplify]: Simplify 0 into 0 22.745 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 22.746 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 22.746 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 22.747 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 22.748 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 22.748 * [backup-simplify]: Simplify 0 into 0 22.750 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 22.751 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 22.751 * [backup-simplify]: Simplify 0 into 0 22.753 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 22.754 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 22.754 * [backup-simplify]: Simplify 0 into 0 22.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 22.758 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 22.758 * [backup-simplify]: Simplify 0 into 0 22.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 22.763 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 22.763 * [backup-simplify]: Simplify 0 into 0 22.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 22.766 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 22.767 * [backup-simplify]: Simplify 0 into 0 22.767 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 22.767 * * * * [progress]: [ 3 / 3 ] generating series at (2) 22.767 * [backup-simplify]: Simplify (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x))) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 22.767 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 22.767 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 22.767 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 22.767 * [taylor]: Taking taylor expansion of (sin x) in x 22.767 * [taylor]: Taking taylor expansion of x in x 22.767 * [backup-simplify]: Simplify 0 into 0 22.767 * [backup-simplify]: Simplify 1 into 1 22.767 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 22.767 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 22.767 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 22.767 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 22.767 * [taylor]: Taking taylor expansion of 1/2 in x 22.767 * [backup-simplify]: Simplify 1/2 into 1/2 22.767 * [taylor]: Taking taylor expansion of x in x 22.767 * [backup-simplify]: Simplify 0 into 0 22.767 * [backup-simplify]: Simplify 1 into 1 22.767 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.768 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.768 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 22.768 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 22.768 * [taylor]: Taking taylor expansion of 1/2 in x 22.768 * [backup-simplify]: Simplify 1/2 into 1/2 22.768 * [taylor]: Taking taylor expansion of x in x 22.768 * [backup-simplify]: Simplify 0 into 0 22.768 * [backup-simplify]: Simplify 1 into 1 22.768 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.769 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.769 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 22.770 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.770 * [taylor]: Taking taylor expansion of (pow x 2) in x 22.770 * [taylor]: Taking taylor expansion of x in x 22.770 * [backup-simplify]: Simplify 0 into 0 22.770 * [backup-simplify]: Simplify 1 into 1 22.770 * [backup-simplify]: Simplify (* 0 1/2) into 0 22.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 22.771 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.771 * [backup-simplify]: Simplify (+ 0) into 0 22.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 22.772 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 22.773 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 22.773 * [backup-simplify]: Simplify (* 1 1) into 1 22.773 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.773 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 22.773 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 22.773 * [taylor]: Taking taylor expansion of (sin x) in x 22.773 * [taylor]: Taking taylor expansion of x in x 22.773 * [backup-simplify]: Simplify 0 into 0 22.773 * [backup-simplify]: Simplify 1 into 1 22.773 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 22.773 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 22.773 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 22.773 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 22.773 * [taylor]: Taking taylor expansion of 1/2 in x 22.773 * [backup-simplify]: Simplify 1/2 into 1/2 22.773 * [taylor]: Taking taylor expansion of x in x 22.773 * [backup-simplify]: Simplify 0 into 0 22.774 * [backup-simplify]: Simplify 1 into 1 22.774 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.774 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.774 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 22.774 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 22.774 * [taylor]: Taking taylor expansion of 1/2 in x 22.774 * [backup-simplify]: Simplify 1/2 into 1/2 22.774 * [taylor]: Taking taylor expansion of x in x 22.774 * [backup-simplify]: Simplify 0 into 0 22.774 * [backup-simplify]: Simplify 1 into 1 22.775 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.775 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.776 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 22.776 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.776 * [taylor]: Taking taylor expansion of (pow x 2) in x 22.776 * [taylor]: Taking taylor expansion of x in x 22.776 * [backup-simplify]: Simplify 0 into 0 22.776 * [backup-simplify]: Simplify 1 into 1 22.776 * [backup-simplify]: Simplify (* 0 1/2) into 0 22.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 22.777 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.778 * [backup-simplify]: Simplify (+ 0) into 0 22.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 22.778 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 22.779 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 22.779 * [backup-simplify]: Simplify (* 1 1) into 1 22.779 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.780 * [backup-simplify]: Simplify 1/2 into 1/2 22.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.781 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 22.782 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 22.783 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 22.783 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.784 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 22.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 22.785 * [backup-simplify]: Simplify 0 into 0 22.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 22.788 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 22.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 22.791 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 22.794 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 22.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 22.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.797 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 22.797 * [backup-simplify]: Simplify -1/24 into -1/24 22.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 22.802 * [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 22.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.806 * [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 22.808 * [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 22.810 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 22.812 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 22.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 22.814 * [backup-simplify]: Simplify 0 into 0 22.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 22.820 * [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 22.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 22.824 * [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 22.826 * [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 22.829 * [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 22.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 22.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 22.834 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 22.834 * [backup-simplify]: Simplify 1/720 into 1/720 22.835 * [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))) 22.835 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (* (tan (/ (/ 1 x) 2)) (/ 1 (/ 1 x)))) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 22.835 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 22.835 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 22.835 * [taylor]: Taking taylor expansion of (pow x 2) in x 22.835 * [taylor]: Taking taylor expansion of x in x 22.835 * [backup-simplify]: Simplify 0 into 0 22.835 * [backup-simplify]: Simplify 1 into 1 22.835 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 22.835 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 22.835 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.835 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 22.835 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 22.835 * [taylor]: Taking taylor expansion of 1/2 in x 22.835 * [backup-simplify]: Simplify 1/2 into 1/2 22.835 * [taylor]: Taking taylor expansion of x in x 22.835 * [backup-simplify]: Simplify 0 into 0 22.835 * [backup-simplify]: Simplify 1 into 1 22.836 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.836 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 22.836 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 22.836 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 22.836 * [taylor]: Taking taylor expansion of 1/2 in x 22.836 * [backup-simplify]: Simplify 1/2 into 1/2 22.836 * [taylor]: Taking taylor expansion of x in x 22.836 * [backup-simplify]: Simplify 0 into 0 22.836 * [backup-simplify]: Simplify 1 into 1 22.837 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.837 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 22.837 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.837 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 22.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 22.837 * [taylor]: Taking taylor expansion of x in x 22.837 * [backup-simplify]: Simplify 0 into 0 22.837 * [backup-simplify]: Simplify 1 into 1 22.837 * [backup-simplify]: Simplify (/ 1 1) into 1 22.837 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 22.837 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 22.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 22.838 * [taylor]: Taking taylor expansion of x in x 22.838 * [backup-simplify]: Simplify 0 into 0 22.838 * [backup-simplify]: Simplify 1 into 1 22.838 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 22.838 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 22.838 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.838 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 22.838 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 22.838 * [taylor]: Taking taylor expansion of 1/2 in x 22.838 * [backup-simplify]: Simplify 1/2 into 1/2 22.838 * [taylor]: Taking taylor expansion of x in x 22.838 * [backup-simplify]: Simplify 0 into 0 22.838 * [backup-simplify]: Simplify 1 into 1 22.838 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.838 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 22.838 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 22.838 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 22.838 * [taylor]: Taking taylor expansion of 1/2 in x 22.838 * [backup-simplify]: Simplify 1/2 into 1/2 22.839 * [taylor]: Taking taylor expansion of x in x 22.839 * [backup-simplify]: Simplify 0 into 0 22.839 * [backup-simplify]: Simplify 1 into 1 22.839 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.839 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 22.840 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.840 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 22.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 22.840 * [taylor]: Taking taylor expansion of x in x 22.840 * [backup-simplify]: Simplify 0 into 0 22.840 * [backup-simplify]: Simplify 1 into 1 22.840 * [backup-simplify]: Simplify (/ 1 1) into 1 22.840 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 22.840 * [backup-simplify]: Simplify (* 1 1) into 1 22.841 * [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))) 22.841 * [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))) 22.841 * [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))) 22.841 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 22.841 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 22.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 22.842 * [backup-simplify]: Simplify 0 into 0 22.842 * [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 22.842 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 22.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 22.844 * [backup-simplify]: Simplify 0 into 0 22.844 * [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 22.844 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 22.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 22.846 * [backup-simplify]: Simplify 0 into 0 22.846 * [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 22.847 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 22.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 22.849 * [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 22.849 * [backup-simplify]: Simplify 0 into 0 22.849 * [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 22.850 * [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 22.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 22.854 * [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 22.854 * [backup-simplify]: Simplify 0 into 0 22.854 * [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 22.855 * [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 22.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 22.858 * [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 22.858 * [backup-simplify]: Simplify 0 into 0 22.858 * [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))) 22.858 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (* (tan (/ (/ 1 (- x)) 2)) (/ 1 (/ 1 (- x))))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) 22.858 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 22.858 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 22.858 * [taylor]: Taking taylor expansion of (pow x 2) in x 22.858 * [taylor]: Taking taylor expansion of x in x 22.858 * [backup-simplify]: Simplify 0 into 0 22.858 * [backup-simplify]: Simplify 1 into 1 22.858 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 22.858 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 22.858 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 22.858 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 22.858 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 22.858 * [taylor]: Taking taylor expansion of -1/2 in x 22.859 * [backup-simplify]: Simplify -1/2 into -1/2 22.859 * [taylor]: Taking taylor expansion of x in x 22.859 * [backup-simplify]: Simplify 0 into 0 22.859 * [backup-simplify]: Simplify 1 into 1 22.859 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.859 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 22.859 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 22.859 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 22.859 * [taylor]: Taking taylor expansion of -1/2 in x 22.859 * [backup-simplify]: Simplify -1/2 into -1/2 22.859 * [taylor]: Taking taylor expansion of x in x 22.859 * [backup-simplify]: Simplify 0 into 0 22.859 * [backup-simplify]: Simplify 1 into 1 22.859 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.859 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 22.859 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 22.859 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 22.859 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.859 * [taylor]: Taking taylor expansion of -1 in x 22.859 * [backup-simplify]: Simplify -1 into -1 22.860 * [taylor]: Taking taylor expansion of x in x 22.860 * [backup-simplify]: Simplify 0 into 0 22.860 * [backup-simplify]: Simplify 1 into 1 22.860 * [backup-simplify]: Simplify (/ -1 1) into -1 22.860 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 22.860 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 22.860 * [taylor]: Taking taylor expansion of (pow x 2) in x 22.860 * [taylor]: Taking taylor expansion of x in x 22.860 * [backup-simplify]: Simplify 0 into 0 22.860 * [backup-simplify]: Simplify 1 into 1 22.860 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 22.860 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 22.860 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 22.860 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 22.860 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 22.860 * [taylor]: Taking taylor expansion of -1/2 in x 22.860 * [backup-simplify]: Simplify -1/2 into -1/2 22.860 * [taylor]: Taking taylor expansion of x in x 22.860 * [backup-simplify]: Simplify 0 into 0 22.860 * [backup-simplify]: Simplify 1 into 1 22.860 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.860 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 22.861 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 22.861 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 22.861 * [taylor]: Taking taylor expansion of -1/2 in x 22.861 * [backup-simplify]: Simplify -1/2 into -1/2 22.861 * [taylor]: Taking taylor expansion of x in x 22.861 * [backup-simplify]: Simplify 0 into 0 22.861 * [backup-simplify]: Simplify 1 into 1 22.861 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.861 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 22.861 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 22.861 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 22.861 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.861 * [taylor]: Taking taylor expansion of -1 in x 22.861 * [backup-simplify]: Simplify -1 into -1 22.861 * [taylor]: Taking taylor expansion of x in x 22.861 * [backup-simplify]: Simplify 0 into 0 22.861 * [backup-simplify]: Simplify 1 into 1 22.861 * [backup-simplify]: Simplify (/ -1 1) into -1 22.861 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 22.862 * [backup-simplify]: Simplify (* 1 1) into 1 22.862 * [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))) 22.862 * [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))) 22.862 * [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))) 22.862 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 22.862 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 22.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 22.863 * [backup-simplify]: Simplify 0 into 0 22.863 * [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 22.864 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 22.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 22.865 * [backup-simplify]: Simplify 0 into 0 22.865 * [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 22.866 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 22.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 22.867 * [backup-simplify]: Simplify 0 into 0 22.868 * [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 22.869 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 22.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 22.872 * [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 22.872 * [backup-simplify]: Simplify 0 into 0 22.872 * [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 22.874 * [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 22.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 22.878 * [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 22.878 * [backup-simplify]: Simplify 0 into 0 22.878 * [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 22.880 * [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 22.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 22.884 * [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 22.884 * [backup-simplify]: Simplify 0 into 0 22.885 * [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))) 22.885 * * * [progress]: simplifying candidates 22.885 * * * * [progress]: [ 1 / 132 ] simplifiying candidate # 22.885 * * * * [progress]: [ 2 / 132 ] simplifiying candidate # 22.885 * * * * [progress]: [ 3 / 132 ] simplifiying candidate # 22.885 * * * * [progress]: [ 4 / 132 ] simplifiying candidate # 22.885 * * * * [progress]: [ 5 / 132 ] simplifiying candidate # 22.885 * * * * [progress]: [ 6 / 132 ] simplifiying candidate # 22.886 * * * * [progress]: [ 7 / 132 ] simplifiying candidate # 22.886 * * * * [progress]: [ 8 / 132 ] simplifiying candidate # 22.886 * * * * [progress]: [ 9 / 132 ] simplifiying candidate # 22.886 * * * * [progress]: [ 10 / 132 ] simplifiying candidate # 22.886 * * * * [progress]: [ 11 / 132 ] simplifiying candidate # 22.886 * * * * [progress]: [ 12 / 132 ] simplifiying candidate # 22.886 * * * * [progress]: [ 13 / 132 ] simplifiying candidate # 22.886 * * * * [progress]: [ 14 / 132 ] simplifiying candidate # 22.886 * * * * [progress]: [ 15 / 132 ] simplifiying candidate # 22.886 * * * * [progress]: [ 16 / 132 ] simplifiying candidate # 22.886 * * * * [progress]: [ 17 / 132 ] simplifiying candidate # 22.886 * * * * [progress]: [ 18 / 132 ] simplifiying candidate # 22.886 * * * * [progress]: [ 19 / 132 ] simplifiying candidate # 22.886 * * * * [progress]: [ 20 / 132 ] simplifiying candidate # 22.886 * * * * [progress]: [ 21 / 132 ] simplifiying candidate # 22.886 * * * * [progress]: [ 22 / 132 ] simplifiying candidate # 22.887 * * * * [progress]: [ 23 / 132 ] simplifiying candidate # 22.887 * * * * [progress]: [ 24 / 132 ] simplifiying candidate # 22.887 * * * * [progress]: [ 25 / 132 ] simplifiying candidate # 22.887 * * * * [progress]: [ 26 / 132 ] simplifiying candidate # 22.887 * * * * [progress]: [ 27 / 132 ] simplifiying candidate # 22.887 * * * * [progress]: [ 28 / 132 ] simplifiying candidate # 22.887 * * * * [progress]: [ 29 / 132 ] simplifiying candidate # 22.887 * * * * [progress]: [ 30 / 132 ] simplifiying candidate # 22.887 * * * * [progress]: [ 31 / 132 ] simplifiying candidate # 22.887 * * * * [progress]: [ 32 / 132 ] simplifiying candidate # 22.887 * * * * [progress]: [ 33 / 132 ] simplifiying candidate # 22.887 * * * * [progress]: [ 34 / 132 ] simplifiying candidate # 22.887 * * * * [progress]: [ 35 / 132 ] simplifiying candidate # 22.887 * * * * [progress]: [ 36 / 132 ] simplifiying candidate # 22.888 * * * * [progress]: [ 37 / 132 ] simplifiying candidate # 22.888 * * * * [progress]: [ 38 / 132 ] simplifiying candidate # 22.888 * * * * [progress]: [ 39 / 132 ] simplifiying candidate # 22.888 * * * * [progress]: [ 40 / 132 ] simplifiying candidate #real (real->posit16 (* (tan (/ x 2)) (/ 1 x))))))> 22.888 * * * * [progress]: [ 41 / 132 ] simplifiying candidate # 22.888 * * * * [progress]: [ 42 / 132 ] simplifiying candidate # 22.888 * * * * [progress]: [ 43 / 132 ] simplifiying candidate # 22.888 * * * * [progress]: [ 44 / 132 ] simplifiying candidate # 22.888 * * * * [progress]: [ 45 / 132 ] simplifiying candidate # 22.888 * * * * [progress]: [ 46 / 132 ] simplifiying candidate # 22.888 * * * * [progress]: [ 47 / 132 ] simplifiying candidate # 22.888 * * * * [progress]: [ 48 / 132 ] simplifiying candidate # 22.888 * * * * [progress]: [ 49 / 132 ] simplifiying candidate # 22.888 * * * * [progress]: [ 50 / 132 ] simplifiying candidate # 22.888 * * * * [progress]: [ 51 / 132 ] simplifiying candidate # 22.888 * * * * [progress]: [ 52 / 132 ] simplifiying candidate # 22.889 * * * * [progress]: [ 53 / 132 ] simplifiying candidate # 22.889 * * * * [progress]: [ 54 / 132 ] simplifiying candidate # 22.889 * * * * [progress]: [ 55 / 132 ] simplifiying candidate # 22.889 * * * * [progress]: [ 56 / 132 ] simplifiying candidate # 22.889 * * * * [progress]: [ 57 / 132 ] simplifiying candidate # 22.889 * * * * [progress]: [ 58 / 132 ] simplifiying candidate # 22.889 * * * * [progress]: [ 59 / 132 ] simplifiying candidate # 22.889 * * * * [progress]: [ 60 / 132 ] simplifiying candidate # 22.889 * * * * [progress]: [ 61 / 132 ] simplifiying candidate # 22.889 * * * * [progress]: [ 62 / 132 ] simplifiying candidate # 22.889 * * * * [progress]: [ 63 / 132 ] simplifiying candidate # 22.889 * * * * [progress]: [ 64 / 132 ] simplifiying candidate # 22.889 * * * * [progress]: [ 65 / 132 ] simplifiying candidate # 22.889 * * * * [progress]: [ 66 / 132 ] simplifiying candidate # 22.889 * * * * [progress]: [ 67 / 132 ] simplifiying candidate # 22.889 * * * * [progress]: [ 68 / 132 ] simplifiying candidate # 22.890 * * * * [progress]: [ 69 / 132 ] simplifiying candidate # 22.890 * * * * [progress]: [ 70 / 132 ] simplifiying candidate # 22.890 * * * * [progress]: [ 71 / 132 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (* (tan (/ x 2)) (/ 1 x))))> 22.890 * * * * [progress]: [ 72 / 132 ] simplifiying candidate # 22.890 * * * * [progress]: [ 73 / 132 ] simplifiying candidate # 22.890 * * * * [progress]: [ 74 / 132 ] simplifiying candidate # 22.890 * * * * [progress]: [ 75 / 132 ] simplifiying candidate # 22.890 * * * * [progress]: [ 76 / 132 ] simplifiying candidate # 22.890 * * * * [progress]: [ 77 / 132 ] simplifiying candidate # 22.890 * * * * [progress]: [ 78 / 132 ] simplifiying candidate # 22.890 * * * * [progress]: [ 79 / 132 ] simplifiying candidate # 22.890 * * * * [progress]: [ 80 / 132 ] simplifiying candidate # 22.890 * * * * [progress]: [ 81 / 132 ] simplifiying candidate # 22.890 * * * * [progress]: [ 82 / 132 ] simplifiying candidate # 22.890 * * * * [progress]: [ 83 / 132 ] simplifiying candidate # 22.890 * * * * [progress]: [ 84 / 132 ] simplifiying candidate # 22.891 * * * * [progress]: [ 85 / 132 ] simplifiying candidate # 22.891 * * * * [progress]: [ 86 / 132 ] simplifiying candidate # 22.891 * * * * [progress]: [ 87 / 132 ] simplifiying candidate # 22.891 * * * * [progress]: [ 88 / 132 ] simplifiying candidate # 22.891 * * * * [progress]: [ 89 / 132 ] simplifiying candidate # 22.891 * * * * [progress]: [ 90 / 132 ] simplifiying candidate # 22.891 * * * * [progress]: [ 91 / 132 ] simplifiying candidate # 22.891 * * * * [progress]: [ 92 / 132 ] simplifiying candidate # 22.891 * * * * [progress]: [ 93 / 132 ] simplifiying candidate # 22.891 * * * * [progress]: [ 94 / 132 ] simplifiying candidate # 22.891 * * * * [progress]: [ 95 / 132 ] simplifiying candidate # 22.891 * * * * [progress]: [ 96 / 132 ] simplifiying candidate # 22.891 * * * * [progress]: [ 97 / 132 ] simplifiying candidate # 22.891 * * * * [progress]: [ 98 / 132 ] simplifiying candidate # 22.891 * * * * [progress]: [ 99 / 132 ] simplifiying candidate # 22.892 * * * * [progress]: [ 100 / 132 ] simplifiying candidate # 22.892 * * * * [progress]: [ 101 / 132 ] simplifiying candidate # 22.892 * * * * [progress]: [ 102 / 132 ] simplifiying candidate # 22.892 * * * * [progress]: [ 103 / 132 ] simplifiying candidate # 22.892 * * * * [progress]: [ 104 / 132 ] simplifiying candidate # 22.892 * * * * [progress]: [ 105 / 132 ] simplifiying candidate # 22.892 * * * * [progress]: [ 106 / 132 ] simplifiying candidate # 22.892 * * * * [progress]: [ 107 / 132 ] simplifiying candidate # 22.892 * * * * [progress]: [ 108 / 132 ] simplifiying candidate # 22.892 * * * * [progress]: [ 109 / 132 ] simplifiying candidate # 22.892 * * * * [progress]: [ 110 / 132 ] simplifiying candidate # 22.892 * * * * [progress]: [ 111 / 132 ] simplifiying candidate # 22.892 * * * * [progress]: [ 112 / 132 ] simplifiying candidate # 22.892 * * * * [progress]: [ 113 / 132 ] simplifiying candidate # 22.892 * * * * [progress]: [ 114 / 132 ] simplifiying candidate # 22.893 * * * * [progress]: [ 115 / 132 ] simplifiying candidate # 22.893 * * * * [progress]: [ 116 / 132 ] simplifiying candidate # 22.893 * * * * [progress]: [ 117 / 132 ] simplifiying candidate # 22.893 * * * * [progress]: [ 118 / 132 ] simplifiying candidate # 22.893 * * * * [progress]: [ 119 / 132 ] simplifiying candidate # 22.893 * * * * [progress]: [ 120 / 132 ] simplifiying candidate # 22.893 * * * * [progress]: [ 121 / 132 ] simplifiying candidate # 22.893 * * * * [progress]: [ 122 / 132 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x))))))> 22.893 * * * * [progress]: [ 123 / 132 ] simplifiying candidate # 22.893 * * * * [progress]: [ 124 / 132 ] simplifiying candidate # 22.893 * * * * [progress]: [ 125 / 132 ] simplifiying candidate # 22.893 * * * * [progress]: [ 126 / 132 ] simplifiying candidate # 22.893 * * * * [progress]: [ 127 / 132 ] simplifiying candidate # 22.893 * * * * [progress]: [ 128 / 132 ] simplifiying candidate # 22.893 * * * * [progress]: [ 129 / 132 ] simplifiying candidate # 22.893 * * * * [progress]: [ 130 / 132 ] simplifiying candidate # 22.893 * * * * [progress]: [ 131 / 132 ] simplifiying candidate # 22.893 * * * * [progress]: [ 132 / 132 ] simplifiying candidate # 22.896 * [simplify]: Simplifying: (expm1 (* (tan (/ x 2)) (/ 1 x))) (log1p (* (tan (/ x 2)) (/ 1 x))) (* (tan (/ x 2)) (/ 1 x)) (+ (log (tan (/ x 2))) (- (log x))) (+ (log (tan (/ x 2))) (- 0 (log x))) (+ (log (tan (/ x 2))) (- (log 1) (log x))) (+ (log (tan (/ x 2))) (log (/ 1 x))) (log (* (tan (/ x 2)) (/ 1 x))) (exp (* (tan (/ x 2)) (/ 1 x))) (* (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (/ (* (* 1 1) 1) (* (* x x) x))) (* (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (cbrt (* (tan (/ x 2)) (/ 1 x))) (cbrt (* (tan (/ x 2)) (/ 1 x)))) (cbrt (* (tan (/ x 2)) (/ 1 x))) (* (* (* (tan (/ x 2)) (/ 1 x)) (* (tan (/ x 2)) (/ 1 x))) (* (tan (/ x 2)) (/ 1 x))) (sqrt (* (tan (/ x 2)) (/ 1 x))) (sqrt (* (tan (/ x 2)) (/ 1 x))) (* (sin (/ x 2)) 1) (* (cos (/ x 2)) x) (* (sqrt (tan (/ x 2))) (sqrt (/ 1 x))) (* (sqrt (tan (/ x 2))) (sqrt (/ 1 x))) (* (sqrt (tan (/ x 2))) (/ (sqrt 1) (sqrt x))) (* (sqrt (tan (/ x 2))) (/ (sqrt 1) (sqrt x))) (* (sqrt (tan (/ x 2))) (/ 1 (sqrt x))) (* (sqrt (tan (/ x 2))) (/ 1 (sqrt x))) (* (tan (/ x 2)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (tan (/ x 2)) (sqrt (/ 1 x))) (* (tan (/ x 2)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (* (tan (/ x 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (* (tan (/ x 2)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (tan (/ x 2)) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (tan (/ x 2)) (/ (sqrt 1) (sqrt x))) (* (tan (/ x 2)) (/ (sqrt 1) 1)) (* (tan (/ x 2)) (/ 1 (* (cbrt x) (cbrt x)))) (* (tan (/ x 2)) (/ 1 (sqrt x))) (* (tan (/ x 2)) (/ 1 1)) (* (tan (/ x 2)) 1) (* (tan (/ x 2)) 1) (* (cbrt (tan (/ x 2))) (/ 1 x)) (* (sqrt (tan (/ x 2))) (/ 1 x)) (* (tan (/ x 2)) (/ 1 x)) (* (tan (/ x 2)) 1) (* (sin (/ x 2)) (/ 1 x)) (real->posit16 (* (tan (/ x 2)) (/ 1 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)) (/ 1 x)))) (log1p (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x)))) (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x))) (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x))) (+ (- (log (sin x)) (log x)) (+ (log (tan (/ x 2))) (- (log x)))) (+ (- (log (sin x)) (log x)) (+ (log (tan (/ x 2))) (- 0 (log x)))) (+ (- (log (sin x)) (log x)) (+ (log (tan (/ x 2))) (- (log 1) (log x)))) (+ (- (log (sin x)) (log x)) (+ (log (tan (/ x 2))) (log (/ 1 x)))) (+ (- (log (sin x)) (log x)) (log (* (tan (/ x 2)) (/ 1 x)))) (+ (log (/ (sin x) x)) (+ (log (tan (/ x 2))) (- (log x)))) (+ (log (/ (sin x) x)) (+ (log (tan (/ x 2))) (- 0 (log x)))) (+ (log (/ (sin x) x)) (+ (log (tan (/ x 2))) (- (log 1) (log x)))) (+ (log (/ (sin x) x)) (+ (log (tan (/ x 2))) (log (/ 1 x)))) (+ (log (/ (sin x) x)) (log (* (tan (/ x 2)) (/ 1 x)))) (log (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x)))) (exp (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (/ (* (* 1 1) 1) (* (* x x) x)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* (/ 1 x) (/ 1 x)) (/ 1 x)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (* (tan (/ x 2)) (/ 1 x)) (* (tan (/ x 2)) (/ 1 x))) (* (tan (/ x 2)) (/ 1 x)))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (/ (* (* 1 1) 1) (* (* x x) x)))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* (/ 1 x) (/ 1 x)) (/ 1 x)))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (* (tan (/ x 2)) (/ 1 x)) (* (tan (/ x 2)) (/ 1 x))) (* (tan (/ x 2)) (/ 1 x)))) (* (cbrt (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x)))) (cbrt (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x))))) (cbrt (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x)))) (* (* (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x))) (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x)))) (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x)))) (sqrt (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x)))) (sqrt (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x)))) (* (sin x) (* (sin (/ x 2)) 1)) (* x (* (cos (/ x 2)) x)) (* (sin x) (tan (/ x 2))) (* x x) (* (sin x) (* (tan (/ x 2)) 1)) (* x x) (* (sin x) (* (sin (/ x 2)) (/ 1 x))) (* x (cos (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))) (* (cbrt (/ (sin x) x)) (* (tan (/ x 2)) (/ 1 x))) (* (sqrt (/ (sin x) x)) (* (tan (/ x 2)) (/ 1 x))) (* (/ (cbrt (sin x)) (cbrt x)) (* (tan (/ x 2)) (/ 1 x))) (* (/ (cbrt (sin x)) (sqrt x)) (* (tan (/ x 2)) (/ 1 x))) (* (/ (cbrt (sin x)) x) (* (tan (/ x 2)) (/ 1 x))) (* (/ (sqrt (sin x)) (cbrt x)) (* (tan (/ x 2)) (/ 1 x))) (* (/ (sqrt (sin x)) (sqrt x)) (* (tan (/ x 2)) (/ 1 x))) (* (/ (sqrt (sin x)) x) (* (tan (/ x 2)) (/ 1 x))) (* (/ (sin x) (cbrt x)) (* (tan (/ x 2)) (/ 1 x))) (* (/ (sin x) (sqrt x)) (* (tan (/ x 2)) (/ 1 x))) (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x))) (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x))) (* (/ 1 x) (* (tan (/ x 2)) (/ 1 x))) (* (/ (sin x) x) (* (sin (/ x 2)) 1)) (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (* (tan (/ x 2)) 1)) (* (/ (sin x) x) (* (sin (/ x 2)) (/ 1 x))) (* (sin x) (* (tan (/ x 2)) (/ 1 x))) (real->posit16 (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 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))) 22.900 * * [simplify]: iteration 1: (199 enodes) 22.988 * * [simplify]: iteration 2: (516 enodes) 23.312 * * [simplify]: iteration 3: (1983 enodes) 44.707 * * [simplify]: Extracting #0: cost 89 inf + 0 44.709 * * [simplify]: Extracting #1: cost 678 inf + 1 44.720 * * [simplify]: Extracting #2: cost 1449 inf + 16654 44.758 * * [simplify]: Extracting #3: cost 683 inf + 238195 44.881 * * [simplify]: Extracting #4: cost 48 inf + 458387 44.994 * * [simplify]: Extracting #5: cost 0 inf + 471376 45.109 * [simplify]: Simplified to: (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x) (log (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (log (/ (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)) (* (* (/ (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)) (sin (/ x 2)) (* x (cos (/ x 2))) (* (sqrt (tan (/ x 2))) (sqrt (/ 1 x))) (* (sqrt (tan (/ x 2))) (sqrt (/ 1 x))) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (* (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (tan (/ x 2))) (* (tan (/ x 2)) (sqrt (/ 1 x))) (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (sqrt x)) (tan (/ x 2)) (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (sqrt x)) (tan (/ x 2)) (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (sqrt x)) (tan (/ x 2)) (tan (/ x 2)) (tan (/ x 2)) (/ (cbrt (tan (/ x 2))) x) (/ (sqrt (tan (/ x 2))) x) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ (sin (/ 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)) (cbrt (sin x))) (sqrt 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)) (/ 1 (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))) (/ (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)))) (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)))) (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))))) (* (/ (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)))) (* (sin x) (sin (/ x 2))) (* (* x x) (cos (/ x 2))) (* (sin x) (tan (/ x 2))) (* x x) (* (sin x) (tan (/ x 2))) (* x x) (* (/ (sin x) x) (sin (/ x 2))) (* x (cos (/ x 2))) (* (sin x) (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (cbrt (/ (sin x) x))) (/ (sqrt (/ (sin x) x)) (/ x (tan (/ x 2)))) (/ (/ (* (tan (/ x 2)) (cbrt (sin x))) (cbrt x)) x) (/ (/ (* (tan (/ x 2)) (cbrt (sin x))) (sqrt x)) x) (/ (cbrt (sin x)) (/ x (/ (tan (/ x 2)) x))) (/ (sqrt (sin x)) (/ (cbrt x) (/ (tan (/ x 2)) x))) (/ (/ (sqrt (sin x)) (/ x (tan (/ x 2)))) (sqrt x)) (/ (sqrt (sin x)) (/ x (/ (tan (/ x 2)) x))) (/ (* (sin x) (/ (tan (/ x 2)) x)) (cbrt x)) (/ (* (/ (tan (/ x 2)) x) (sin x)) (sqrt x)) (/ (sin x) (/ x (/ (tan (/ x 2)) x))) (/ (sin x) (/ x (/ (tan (/ x 2)) x))) (/ (/ (tan (/ x 2)) x) x) (* (/ (sin x) x) (sin (/ x 2))) (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x)) (/ (* (/ (sin x) x) (sin (/ x 2))) x) (* (sin x) (/ (tan (/ x 2)) x)) (real->posit16 (/ (sin x) (/ x (/ (tan (/ x 2)) x)))) (fma (* x x) 1/24 (fma 1/240 (* (* x x) (* x x)) 1/2)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (fma -1/6 (* x x) (fma 1/120 (* (* x x) (* x x)) 1)) (/ (sin x) x) (/ (sin x) x) (fma (* x x) -1/24 (fma 1/720 (* (* x x) (* x x)) 1/2)) (* (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (/ (sin x) x)) (* (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (/ (sin x) x)) 45.119 * * * [progress]: adding candidates to table 46.170 * [progress]: [Phase 3 of 3] Extracting. 46.170 * * [regime]: Finding splitpoints for: (# # # # #) 46.174 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1 (cos x)) (* x x)) x) 46.175 * * * * [regimes]: Trying to branch on (/ (- 1 (cos x)) (* x x)) from (# # # # #) 46.226 * * * * [regimes]: Trying to branch on x from (# # # # #) 46.254 * * * [regime]: Found split indices: #