15.518 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.135 * * * [progress]: [2/2] Setting up program. 0.137 * [progress]: [Phase 2 of 3] Improving. 0.137 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.137 * [simplify]: Simplifying: (/ (- 1 (cos x)) (* x x)) 0.137 * * [simplify]: iteration 0: 6 enodes 0.139 * * [simplify]: iteration 1: 15 enodes 0.141 * * [simplify]: iteration 2: 23 enodes 0.145 * * [simplify]: iteration 3: 28 enodes 0.148 * * [simplify]: iteration 4: 30 enodes 0.154 * * [simplify]: iteration complete: 30 enodes 0.154 * * [simplify]: Extracting #0: cost 1 inf + 0 0.155 * * [simplify]: Extracting #1: cost 8 inf + 0 0.155 * * [simplify]: Extracting #2: cost 12 inf + 42 0.155 * * [simplify]: Extracting #3: cost 7 inf + 447 0.155 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.156 * [simplify]: Simplified to: (/ (- 1 (cos x)) (* x x)) 0.157 * * [progress]: iteration 1 / 4 0.157 * * * [progress]: picking best candidate 0.161 * * * * [pick]: Picked # 0.161 * * * [progress]: localizing error 0.174 * * * [progress]: generating rewritten candidates 0.175 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.214 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.221 * * * [progress]: generating series expansions 0.221 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.225 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2)) 0.225 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0 0.226 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.226 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.226 * [taylor]: Taking taylor expansion of 1 in x 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of (cos x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (- 1) into -1 0.228 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.229 * [backup-simplify]: Simplify (+ 0) into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.230 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.231 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.231 * [backup-simplify]: Simplify (* 1 1) into 1 0.231 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.231 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.231 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.231 * [taylor]: Taking taylor expansion of 1 in x 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of (cos x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (- 1) into -1 0.232 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.232 * [backup-simplify]: Simplify (+ 0) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.234 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.234 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.234 * [backup-simplify]: Simplify (* 1 1) into 1 0.235 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.235 * [backup-simplify]: Simplify 1/2 into 1/2 0.236 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.240 * [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 0.241 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.241 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.243 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.243 * [backup-simplify]: Simplify -1/24 into -1/24 0.246 * [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 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.255 * [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 0.256 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.256 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.259 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.259 * [backup-simplify]: Simplify 1/720 into 1/720 0.261 * [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))) 0.262 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.262 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 0.262 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.262 * [taylor]: Taking taylor expansion of 1 in x 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.263 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.263 * [taylor]: Taking taylor expansion of 1 in x 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.264 * [backup-simplify]: Simplify (* 1 1) into 1 0.264 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.264 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.265 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.265 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [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 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 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 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.287 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.287 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.288 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.288 * [taylor]: Taking taylor expansion of 1 in x 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.288 * [taylor]: Taking taylor expansion of -1 in x 0.288 * [backup-simplify]: Simplify -1 into -1 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ -1 1) into -1 0.288 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.288 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.289 * [taylor]: Taking taylor expansion of 1 in x 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.289 * [taylor]: Taking taylor expansion of -1 in x 0.289 * [backup-simplify]: Simplify -1 into -1 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (/ -1 1) into -1 0.289 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.290 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.290 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.290 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.290 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 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 1))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.303 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.303 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.303 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.303 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.303 * [taylor]: Taking taylor expansion of 1 in x 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (cos x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.303 * [taylor]: Taking taylor expansion of 1 in x 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (cos x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (- 1) into -1 0.304 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (+ 0) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.306 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.306 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.306 * [backup-simplify]: Simplify 1/2 into 1/2 0.677 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.678 * [backup-simplify]: Simplify (- 0) into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [backup-simplify]: Simplify 0 into 0 0.681 * [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 0.681 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.682 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.682 * [backup-simplify]: Simplify -1/24 into -1/24 0.684 * [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 0.684 * [backup-simplify]: Simplify (- 0) into 0 0.685 * [backup-simplify]: Simplify (+ 0 0) into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.694 * [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 0.695 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.695 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.695 * [backup-simplify]: Simplify 1/720 into 1/720 0.696 * [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))) 0.696 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.696 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.696 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.696 * [taylor]: Taking taylor expansion of 1 in x 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (/ 1 1) into 1 0.697 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.697 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.697 * [taylor]: Taking taylor expansion of 1 in x 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (/ 1 1) into 1 0.697 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.697 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.697 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.698 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.698 * [backup-simplify]: Simplify (- 0) into 0 0.698 * [backup-simplify]: Simplify (+ 0 0) into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify (- 0) into 0 0.699 * [backup-simplify]: Simplify (+ 0 0) into 0 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify (- 0) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify (- 0) into 0 0.701 * [backup-simplify]: Simplify (+ 0 0) into 0 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify (- 0) into 0 0.701 * [backup-simplify]: Simplify (+ 0 0) into 0 0.701 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify (- 0) into 0 0.702 * [backup-simplify]: Simplify (+ 0 0) into 0 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.703 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.703 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.703 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.703 * [taylor]: Taking taylor expansion of 1 in x 0.703 * [backup-simplify]: Simplify 1 into 1 0.703 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.703 * [taylor]: Taking taylor expansion of -1 in x 0.703 * [backup-simplify]: Simplify -1 into -1 0.703 * [taylor]: Taking taylor expansion of x in x 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 1 into 1 0.703 * [backup-simplify]: Simplify (/ -1 1) into -1 0.703 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.703 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.703 * [taylor]: Taking taylor expansion of 1 in x 0.703 * [backup-simplify]: Simplify 1 into 1 0.704 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.704 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.704 * [taylor]: Taking taylor expansion of -1 in x 0.704 * [backup-simplify]: Simplify -1 into -1 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (/ -1 1) into -1 0.704 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.704 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.704 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.704 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.705 * [backup-simplify]: Simplify (- 0) into 0 0.705 * [backup-simplify]: Simplify (+ 0 0) into 0 0.705 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify (- 0) into 0 0.706 * [backup-simplify]: Simplify (+ 0 0) into 0 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify (- 0) into 0 0.707 * [backup-simplify]: Simplify (+ 0 0) into 0 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify (- 0) into 0 0.708 * [backup-simplify]: Simplify (+ 0 0) into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify (- 0) into 0 0.708 * [backup-simplify]: Simplify (+ 0 0) into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify (- 0) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.709 * * * [progress]: simplifying candidates 0.709 * * * * [progress]: [ 1 / 69 ] simplifiying candidate # 0.709 * * * * [progress]: [ 2 / 69 ] simplifiying candidate # 0.709 * * * * [progress]: [ 3 / 69 ] simplifiying candidate # 0.709 * * * * [progress]: [ 4 / 69 ] simplifiying candidate # 0.709 * * * * [progress]: [ 5 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 6 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 7 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 8 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 9 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 10 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 11 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 12 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 13 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 14 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 15 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 16 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 17 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 18 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 19 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 20 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 21 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 22 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 23 / 69 ] simplifiying candidate # 0.710 * * * * [progress]: [ 24 / 69 ] simplifiying candidate # 0.711 * * * * [progress]: [ 25 / 69 ] simplifiying candidate # 0.711 * * * * [progress]: [ 26 / 69 ] simplifiying candidate # 0.711 * * * * [progress]: [ 27 / 69 ] simplifiying candidate # 0.711 * * * * [progress]: [ 28 / 69 ] simplifiying candidate # 0.711 * * * * [progress]: [ 29 / 69 ] simplifiying candidate # 0.711 * * * * [progress]: [ 30 / 69 ] simplifiying candidate # 0.711 * * * * [progress]: [ 31 / 69 ] simplifiying candidate # 0.711 * * * * [progress]: [ 32 / 69 ] simplifiying candidate # 0.711 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.711 * * * * [progress]: [ 34 / 69 ] simplifiying candidate # 0.711 * * * * [progress]: [ 35 / 69 ] simplifiying candidate # 0.711 * * * * [progress]: [ 36 / 69 ] simplifiying candidate # 0.711 * * * * [progress]: [ 37 / 69 ] simplifiying candidate # 0.711 * * * * [progress]: [ 38 / 69 ] simplifiying candidate # 0.711 * * * * [progress]: [ 39 / 69 ] simplifiying candidate # 0.711 * * * * [progress]: [ 40 / 69 ] simplifiying candidate # 0.711 * * * * [progress]: [ 41 / 69 ] simplifiying candidate # 0.711 * * * * [progress]: [ 42 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 43 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 44 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 45 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 46 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 47 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 48 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 49 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 50 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 51 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 52 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 53 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 54 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 55 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 56 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 57 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 58 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 59 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 60 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 61 / 69 ] simplifiying candidate # 0.712 * * * * [progress]: [ 62 / 69 ] simplifiying candidate # 0.713 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.713 * * * * [progress]: [ 64 / 69 ] simplifiying candidate # 0.713 * * * * [progress]: [ 65 / 69 ] simplifiying candidate # 0.713 * * * * [progress]: [ 66 / 69 ] simplifiying candidate # 0.713 * * * * [progress]: [ 67 / 69 ] simplifiying candidate # 0.713 * * * * [progress]: [ 68 / 69 ] simplifiying candidate # 0.713 * * * * [progress]: [ 69 / 69 ] simplifiying candidate # 0.714 * [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)) 0.716 * * [simplify]: iteration 0: 121 enodes 0.782 * * [simplify]: iteration 1: 295 enodes 0.943 * * [simplify]: iteration 2: 867 enodes 1.888 * * [simplify]: iteration 3: 4370 enodes 3.258 * * [simplify]: iteration complete: 5001 enodes 3.259 * * [simplify]: Extracting #0: cost 47 inf + 0 3.265 * * [simplify]: Extracting #1: cost 671 inf + 0 3.273 * * [simplify]: Extracting #2: cost 1212 inf + 27016 3.333 * * [simplify]: Extracting #3: cost 303 inf + 183713 3.399 * * [simplify]: Extracting #4: cost 43 inf + 239786 3.455 * * [simplify]: Extracting #5: cost 0 inf + 254055 3.532 * [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 (/ (- 1 (cos x)) x)) (/ (- 1 (cos x)) x) (/ (* x x) (cbrt (- 1 (cos x)))) (/ (* x x) (sqrt (- 1 (cos x)))) (/ x (/ (- 1 (cos x)) x)) (/ (* x x) (- 1 (sqrt (cos x)))) (/ (* x x) (- 1 (sqrt (cos x)))) (/ x (/ (- 1 (cos x)) x)) (fma (fma (cos x) (cos x) (cos x)) (* x x) (* x x)) (* (fma x (cos x) x) x) (real->posit16 (/ (- 1 (cos x)) (* x x))) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1 (cos x))) (log (- 1 (cos x))) (exp (- 1 (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (- 1 (cos x)) (* (- 1 (cos x)) (- 1 (cos x)))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- 1 (* (cos x) (* (cos x) (cos x)))) (+ (cos x) (fma (cos x) (cos x) 1)) (- (cos x)) (* (sin x) (sin x)) (+ (cos x) 1) (+ (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) (- (* (* x x) 1/720) 1/24) 1/2) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (fma (* (* x x) (* (* x x) 1/720)) (* x x) (* (* x x) (fma -1/24 (* x x) 1/2))) (- 1 (cos x)) (- 1 (cos x)) 3.539 * * * [progress]: adding candidates to table 3.785 * * [progress]: iteration 2 / 4 3.785 * * * [progress]: picking best candidate 3.802 * * * * [pick]: Picked # 3.802 * * * [progress]: localizing error 3.822 * * * [progress]: generating rewritten candidates 3.822 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.854 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.864 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.888 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.917 * * * [progress]: generating series expansions 3.917 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.917 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 3.917 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 3.917 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 3.917 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.917 * [taylor]: Taking taylor expansion of (sin x) in x 3.917 * [taylor]: Taking taylor expansion of x in x 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify 1 into 1 3.919 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.919 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 3.919 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.919 * [taylor]: Taking taylor expansion of x in x 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 1 into 1 3.919 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.919 * [taylor]: Taking taylor expansion of (cos x) in x 3.919 * [taylor]: Taking taylor expansion of x in x 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 1 into 1 3.919 * [taylor]: Taking taylor expansion of 1 in x 3.919 * [backup-simplify]: Simplify 1 into 1 3.919 * [backup-simplify]: Simplify (* 1 1) into 1 3.919 * [backup-simplify]: Simplify (* 1 1) into 1 3.920 * [backup-simplify]: Simplify (+ 1 1) into 2 3.920 * [backup-simplify]: Simplify (* 1 2) into 2 3.920 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.920 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 3.920 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.920 * [taylor]: Taking taylor expansion of (sin x) in x 3.920 * [taylor]: Taking taylor expansion of x in x 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 1 into 1 3.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.921 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 3.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.921 * [taylor]: Taking taylor expansion of x in x 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.921 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.921 * [taylor]: Taking taylor expansion of (cos x) in x 3.921 * [taylor]: Taking taylor expansion of x in x 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.921 * [taylor]: Taking taylor expansion of 1 in x 3.921 * [backup-simplify]: Simplify 1 into 1 3.921 * [backup-simplify]: Simplify (* 1 1) into 1 3.921 * [backup-simplify]: Simplify (* 1 1) into 1 3.922 * [backup-simplify]: Simplify (+ 1 1) into 2 3.922 * [backup-simplify]: Simplify (* 1 2) into 2 3.922 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.922 * [backup-simplify]: Simplify 1/2 into 1/2 3.923 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.923 * [backup-simplify]: Simplify (+ 0) into 0 3.924 * [backup-simplify]: Simplify (+ 0 0) into 0 3.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 3.925 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 3.925 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.926 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 3.927 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.927 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.928 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 3.929 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 3.929 * [backup-simplify]: Simplify -1/24 into -1/24 3.930 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 3.932 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.932 * [backup-simplify]: Simplify (+ 0 0) into 0 3.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 3.934 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 3.934 * [backup-simplify]: Simplify 0 into 0 3.939 * [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 3.940 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 3.941 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.941 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 3.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.943 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 3.944 * [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 3.944 * [backup-simplify]: Simplify 1/720 into 1/720 3.945 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 3.945 * [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)) 3.945 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 3.945 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 3.945 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 3.945 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.945 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.945 * [taylor]: Taking taylor expansion of x in x 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 1 into 1 3.945 * [backup-simplify]: Simplify (/ 1 1) into 1 3.945 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.945 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.945 * [taylor]: Taking taylor expansion of x in x 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 1 into 1 3.946 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.946 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.946 * [taylor]: Taking taylor expansion of x in x 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [backup-simplify]: Simplify (/ 1 1) into 1 3.946 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.946 * [taylor]: Taking taylor expansion of 1 in x 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.946 * [backup-simplify]: Simplify (* 1 1) into 1 3.946 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 3.946 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.947 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.947 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 3.947 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 3.947 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.947 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.947 * [taylor]: Taking taylor expansion of x in x 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 1 into 1 3.947 * [backup-simplify]: Simplify (/ 1 1) into 1 3.947 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.947 * [taylor]: Taking taylor expansion of x in x 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 1 into 1 3.947 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.947 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.947 * [taylor]: Taking taylor expansion of x in x 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 1 into 1 3.947 * [backup-simplify]: Simplify (/ 1 1) into 1 3.947 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.947 * [taylor]: Taking taylor expansion of 1 in x 3.947 * [backup-simplify]: Simplify 1 into 1 3.948 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.948 * [backup-simplify]: Simplify (* 1 1) into 1 3.948 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 3.948 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.948 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.948 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.949 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 3.949 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 3.949 * [backup-simplify]: Simplify (+ 0 0) into 0 3.950 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.950 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 3.951 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.951 * [backup-simplify]: Simplify (+ 0 0) into 0 3.951 * [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 3.951 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.953 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 3.953 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.953 * [backup-simplify]: Simplify (+ 0 0) into 0 3.954 * [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 3.954 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.955 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 3.956 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.956 * [backup-simplify]: Simplify (+ 0 0) into 0 3.957 * [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 3.957 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.958 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 3.959 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.959 * [backup-simplify]: Simplify (+ 0 0) into 0 3.960 * [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 3.960 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.962 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 3.962 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.963 * [backup-simplify]: Simplify (+ 0 0) into 0 3.963 * [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 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [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))) 3.964 * [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)) 3.964 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 3.964 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 3.964 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 3.964 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.964 * [taylor]: Taking taylor expansion of x in x 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 1 into 1 3.964 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.964 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.964 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.964 * [taylor]: Taking taylor expansion of -1 in x 3.964 * [backup-simplify]: Simplify -1 into -1 3.964 * [taylor]: Taking taylor expansion of x in x 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 1 into 1 3.964 * [backup-simplify]: Simplify (/ -1 1) into -1 3.964 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.964 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.964 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.964 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.964 * [taylor]: Taking taylor expansion of -1 in x 3.964 * [backup-simplify]: Simplify -1 into -1 3.964 * [taylor]: Taking taylor expansion of x in x 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 1 into 1 3.965 * [backup-simplify]: Simplify (/ -1 1) into -1 3.965 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.965 * [taylor]: Taking taylor expansion of 1 in x 3.965 * [backup-simplify]: Simplify 1 into 1 3.965 * [backup-simplify]: Simplify (* 1 1) into 1 3.965 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.965 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 3.965 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.965 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.965 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 3.965 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 3.965 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.965 * [taylor]: Taking taylor expansion of x in x 3.965 * [backup-simplify]: Simplify 0 into 0 3.965 * [backup-simplify]: Simplify 1 into 1 3.965 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.965 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.965 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.965 * [taylor]: Taking taylor expansion of -1 in x 3.965 * [backup-simplify]: Simplify -1 into -1 3.965 * [taylor]: Taking taylor expansion of x in x 3.965 * [backup-simplify]: Simplify 0 into 0 3.965 * [backup-simplify]: Simplify 1 into 1 3.966 * [backup-simplify]: Simplify (/ -1 1) into -1 3.966 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.966 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.966 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.966 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.966 * [taylor]: Taking taylor expansion of -1 in x 3.966 * [backup-simplify]: Simplify -1 into -1 3.966 * [taylor]: Taking taylor expansion of x in x 3.966 * [backup-simplify]: Simplify 0 into 0 3.966 * [backup-simplify]: Simplify 1 into 1 3.966 * [backup-simplify]: Simplify (/ -1 1) into -1 3.966 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.966 * [taylor]: Taking taylor expansion of 1 in x 3.966 * [backup-simplify]: Simplify 1 into 1 3.967 * [backup-simplify]: Simplify (* 1 1) into 1 3.967 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.967 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 3.967 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.967 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.967 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.967 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 3.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 3.968 * [backup-simplify]: Simplify (+ 0 0) into 0 3.968 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.968 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 3.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 3.970 * [backup-simplify]: Simplify (+ 0 0) into 0 3.970 * [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 3.970 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 3.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 3.972 * [backup-simplify]: Simplify (+ 0 0) into 0 3.973 * [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 3.973 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 3.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 3.975 * [backup-simplify]: Simplify (+ 0 0) into 0 3.976 * [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 3.976 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 3.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 3.979 * [backup-simplify]: Simplify (+ 0 0) into 0 3.979 * [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 3.979 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 3.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 3.983 * [backup-simplify]: Simplify (+ 0 0) into 0 3.984 * [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 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [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))) 3.984 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.984 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 3.984 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 3.984 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.984 * [taylor]: Taking taylor expansion of (cos x) in x 3.984 * [taylor]: Taking taylor expansion of x in x 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify 1 into 1 3.984 * [taylor]: Taking taylor expansion of 1 in x 3.984 * [backup-simplify]: Simplify 1 into 1 3.984 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.984 * [taylor]: Taking taylor expansion of (cos x) in x 3.984 * [taylor]: Taking taylor expansion of x in x 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify 1 into 1 3.984 * [taylor]: Taking taylor expansion of 1 in x 3.984 * [backup-simplify]: Simplify 1 into 1 3.984 * [backup-simplify]: Simplify (+ 1 1) into 2 3.984 * [backup-simplify]: Simplify 2 into 2 3.985 * [backup-simplify]: Simplify (+ 0) into 0 3.985 * [backup-simplify]: Simplify (+ 0 0) into 0 3.985 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.986 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.986 * [backup-simplify]: Simplify -1/2 into -1/2 3.987 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.987 * [backup-simplify]: Simplify (+ 0 0) into 0 3.987 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.990 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 3.990 * [backup-simplify]: Simplify 1/24 into 1/24 3.990 * [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))) 3.991 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 3.991 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 3.991 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.991 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.991 * [taylor]: Taking taylor expansion of x in x 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 1 into 1 3.991 * [backup-simplify]: Simplify (/ 1 1) into 1 3.991 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.991 * [taylor]: Taking taylor expansion of 1 in x 3.991 * [backup-simplify]: Simplify 1 into 1 3.991 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.991 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.991 * [taylor]: Taking taylor expansion of x in x 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 1 into 1 3.992 * [backup-simplify]: Simplify (/ 1 1) into 1 3.992 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.992 * [taylor]: Taking taylor expansion of 1 in x 3.992 * [backup-simplify]: Simplify 1 into 1 3.992 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.992 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.992 * [backup-simplify]: Simplify (+ 0 0) into 0 3.992 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify (+ 0 0) into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify (+ 0 0) into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify (+ 0 0) into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify (+ 0 0) into 0 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify (+ 0 0) into 0 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 3.994 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 3.994 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 3.994 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.994 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.994 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.995 * [taylor]: Taking taylor expansion of -1 in x 3.995 * [backup-simplify]: Simplify -1 into -1 3.995 * [taylor]: Taking taylor expansion of x in x 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify 1 into 1 3.995 * [backup-simplify]: Simplify (/ -1 1) into -1 3.995 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.995 * [taylor]: Taking taylor expansion of 1 in x 3.995 * [backup-simplify]: Simplify 1 into 1 3.995 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.995 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.995 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.995 * [taylor]: Taking taylor expansion of -1 in x 3.995 * [backup-simplify]: Simplify -1 into -1 3.995 * [taylor]: Taking taylor expansion of x in x 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify 1 into 1 3.996 * [backup-simplify]: Simplify (/ -1 1) into -1 3.996 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.996 * [taylor]: Taking taylor expansion of 1 in x 3.996 * [backup-simplify]: Simplify 1 into 1 3.996 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.996 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.996 * [backup-simplify]: Simplify (+ 0 0) into 0 3.996 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify (+ 0 0) into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify (+ 0 0) into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify (+ 0 0) into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify (+ 0 0) into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify (+ 0 0) into 0 3.999 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 3.999 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.999 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 3.999 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 3.999 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.999 * [taylor]: Taking taylor expansion of (sin x) in x 3.999 * [taylor]: Taking taylor expansion of x in x 3.999 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify 1 into 1 4.000 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.000 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 4.000 * [taylor]: Taking taylor expansion of (sin x) in x 4.000 * [taylor]: Taking taylor expansion of x in x 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.000 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.001 * [backup-simplify]: Simplify (* 1 1) into 1 4.001 * [backup-simplify]: Simplify 1 into 1 4.001 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.002 * [backup-simplify]: Simplify 0 into 0 4.003 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.004 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 4.004 * [backup-simplify]: Simplify -1/3 into -1/3 4.006 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.010 * [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 4.012 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 4.012 * [backup-simplify]: Simplify 2/45 into 2/45 4.012 * [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))) 4.012 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 4.012 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 4.012 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 4.012 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.012 * [taylor]: Taking taylor expansion of x in x 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 1 into 1 4.013 * [backup-simplify]: Simplify (/ 1 1) into 1 4.013 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.013 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 4.013 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.013 * [taylor]: Taking taylor expansion of x in x 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 1 into 1 4.013 * [backup-simplify]: Simplify (/ 1 1) into 1 4.013 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.014 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 4.014 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 4.014 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 4.014 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 4.015 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 4.017 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 4.018 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 4.020 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 4.020 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 4.020 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 4.020 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 4.020 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.020 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.020 * [taylor]: Taking taylor expansion of -1 in x 4.020 * [backup-simplify]: Simplify -1 into -1 4.020 * [taylor]: Taking taylor expansion of x in x 4.020 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify 1 into 1 4.021 * [backup-simplify]: Simplify (/ -1 1) into -1 4.021 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.021 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 4.021 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.021 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.021 * [taylor]: Taking taylor expansion of -1 in x 4.021 * [backup-simplify]: Simplify -1 into -1 4.021 * [taylor]: Taking taylor expansion of x in x 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify 1 into 1 4.022 * [backup-simplify]: Simplify (/ -1 1) into -1 4.022 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.022 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 4.022 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 4.022 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 4.023 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 4.024 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 4.025 * [backup-simplify]: Simplify 0 into 0 4.026 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 4.026 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 4.028 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.029 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 4.029 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 4.029 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 4.029 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 4.029 * [taylor]: Taking taylor expansion of (sin x) in x 4.029 * [taylor]: Taking taylor expansion of x in x 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify 1 into 1 4.029 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.029 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 4.029 * [taylor]: Taking taylor expansion of (cos x) in x 4.029 * [taylor]: Taking taylor expansion of x in x 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify 1 into 1 4.030 * [taylor]: Taking taylor expansion of 1 in x 4.030 * [backup-simplify]: Simplify 1 into 1 4.030 * [backup-simplify]: Simplify (* 1 1) into 1 4.030 * [backup-simplify]: Simplify (+ 1 1) into 2 4.031 * [backup-simplify]: Simplify (/ 1 2) into 1/2 4.031 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 4.031 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 4.031 * [taylor]: Taking taylor expansion of (sin x) in x 4.031 * [taylor]: Taking taylor expansion of x in x 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 1 into 1 4.031 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.031 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 4.031 * [taylor]: Taking taylor expansion of (cos x) in x 4.031 * [taylor]: Taking taylor expansion of x in x 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 1 into 1 4.032 * [taylor]: Taking taylor expansion of 1 in x 4.032 * [backup-simplify]: Simplify 1 into 1 4.032 * [backup-simplify]: Simplify (* 1 1) into 1 4.032 * [backup-simplify]: Simplify (+ 1 1) into 2 4.033 * [backup-simplify]: Simplify (/ 1 2) into 1/2 4.033 * [backup-simplify]: Simplify 1/2 into 1/2 4.034 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.035 * [backup-simplify]: Simplify (+ 0) into 0 4.036 * [backup-simplify]: Simplify (+ 0 0) into 0 4.036 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.039 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 4.043 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.044 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.046 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 4.046 * [backup-simplify]: Simplify -1/24 into -1/24 4.047 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 4.050 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.050 * [backup-simplify]: Simplify (+ 0 0) into 0 4.051 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 4.051 * [backup-simplify]: Simplify 0 into 0 4.054 * [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 4.056 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 4.058 * [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 4.058 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 4.060 * [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 4.060 * [backup-simplify]: Simplify 1/720 into 1/720 4.061 * [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))) 4.061 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 4.061 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 4.061 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 4.061 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 4.061 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.061 * [taylor]: Taking taylor expansion of x in x 4.061 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify 1 into 1 4.061 * [backup-simplify]: Simplify (/ 1 1) into 1 4.061 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.061 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 4.062 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.062 * [taylor]: Taking taylor expansion of x in x 4.062 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify 1 into 1 4.062 * [backup-simplify]: Simplify (/ 1 1) into 1 4.062 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.062 * [taylor]: Taking taylor expansion of 1 in x 4.062 * [backup-simplify]: Simplify 1 into 1 4.062 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 4.062 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 4.062 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 4.062 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 4.062 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 4.062 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.063 * [taylor]: Taking taylor expansion of x in x 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.063 * [backup-simplify]: Simplify (/ 1 1) into 1 4.063 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.063 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 4.063 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.063 * [taylor]: Taking taylor expansion of x in x 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.063 * [backup-simplify]: Simplify (/ 1 1) into 1 4.063 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.064 * [taylor]: Taking taylor expansion of 1 in x 4.064 * [backup-simplify]: Simplify 1 into 1 4.064 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 4.064 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 4.064 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 4.064 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 4.064 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 4.065 * [backup-simplify]: Simplify (+ 0 0) into 0 4.065 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 4.066 * [backup-simplify]: Simplify (+ 0 0) into 0 4.066 * [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 4.066 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 4.067 * [backup-simplify]: Simplify (+ 0 0) into 0 4.068 * [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 4.068 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 4.069 * [backup-simplify]: Simplify (+ 0 0) into 0 4.070 * [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 4.070 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 4.071 * [backup-simplify]: Simplify (+ 0 0) into 0 4.072 * [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 4.072 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 4.074 * [backup-simplify]: Simplify (+ 0 0) into 0 4.075 * [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 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 4.075 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 4.075 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 4.075 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 4.075 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 4.075 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.075 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.075 * [taylor]: Taking taylor expansion of -1 in x 4.075 * [backup-simplify]: Simplify -1 into -1 4.075 * [taylor]: Taking taylor expansion of x in x 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.076 * [backup-simplify]: Simplify (/ -1 1) into -1 4.076 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.076 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 4.076 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.076 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.076 * [taylor]: Taking taylor expansion of -1 in x 4.076 * [backup-simplify]: Simplify -1 into -1 4.076 * [taylor]: Taking taylor expansion of x in x 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.076 * [backup-simplify]: Simplify (/ -1 1) into -1 4.076 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.076 * [taylor]: Taking taylor expansion of 1 in x 4.076 * [backup-simplify]: Simplify 1 into 1 4.077 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 4.077 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 4.077 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 4.077 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 4.077 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 4.077 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.077 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.077 * [taylor]: Taking taylor expansion of -1 in x 4.077 * [backup-simplify]: Simplify -1 into -1 4.077 * [taylor]: Taking taylor expansion of x in x 4.077 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify 1 into 1 4.077 * [backup-simplify]: Simplify (/ -1 1) into -1 4.077 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.077 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 4.078 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.078 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.078 * [taylor]: Taking taylor expansion of -1 in x 4.078 * [backup-simplify]: Simplify -1 into -1 4.078 * [taylor]: Taking taylor expansion of x in x 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify (/ -1 1) into -1 4.078 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.078 * [taylor]: Taking taylor expansion of 1 in x 4.078 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 4.078 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 4.078 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 4.079 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 4.079 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 4.079 * [backup-simplify]: Simplify (+ 0 0) into 0 4.080 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 4.080 * [backup-simplify]: Simplify (+ 0 0) into 0 4.081 * [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 4.081 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 4.082 * [backup-simplify]: Simplify (+ 0 0) into 0 4.082 * [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 4.082 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 4.084 * [backup-simplify]: Simplify (+ 0 0) into 0 4.084 * [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 4.084 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 4.086 * [backup-simplify]: Simplify (+ 0 0) into 0 4.086 * [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 4.086 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 4.088 * [backup-simplify]: Simplify (+ 0 0) into 0 4.089 * [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 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 4.089 * * * [progress]: simplifying candidates 4.089 * * * * [progress]: [ 1 / 138 ] simplifiying candidate # 4.089 * * * * [progress]: [ 2 / 138 ] simplifiying candidate # 4.089 * * * * [progress]: [ 3 / 138 ] simplifiying candidate # 4.089 * * * * [progress]: [ 4 / 138 ] simplifiying candidate # 4.089 * * * * [progress]: [ 5 / 138 ] simplifiying candidate # 4.090 * * * * [progress]: [ 6 / 138 ] simplifiying candidate # 4.090 * * * * [progress]: [ 7 / 138 ] simplifiying candidate # 4.090 * * * * [progress]: [ 8 / 138 ] simplifiying candidate # 4.090 * * * * [progress]: [ 9 / 138 ] simplifiying candidate # 4.090 * * * * [progress]: [ 10 / 138 ] simplifiying candidate # 4.090 * * * * [progress]: [ 11 / 138 ] simplifiying candidate # 4.090 * * * * [progress]: [ 12 / 138 ] simplifiying candidate # 4.090 * * * * [progress]: [ 13 / 138 ] simplifiying candidate # 4.090 * * * * [progress]: [ 14 / 138 ] simplifiying candidate # 4.090 * * * * [progress]: [ 15 / 138 ] simplifiying candidate # 4.090 * * * * [progress]: [ 16 / 138 ] simplifiying candidate # 4.090 * * * * [progress]: [ 17 / 138 ] simplifiying candidate # 4.090 * * * * [progress]: [ 18 / 138 ] simplifiying candidate # 4.090 * * * * [progress]: [ 19 / 138 ] simplifiying candidate # 4.090 * * * * [progress]: [ 20 / 138 ] simplifiying candidate # 4.090 * * * * [progress]: [ 21 / 138 ] simplifiying candidate # 4.090 * * * * [progress]: [ 22 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 23 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 24 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 25 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 26 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 27 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 28 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 29 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 30 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 31 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 32 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 33 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 34 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 35 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 36 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 37 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 38 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 39 / 138 ] simplifiying candidate # 4.091 * * * * [progress]: [ 40 / 138 ] simplifiying candidate # 4.092 * * * * [progress]: [ 41 / 138 ] simplifiying candidate # 4.092 * * * * [progress]: [ 42 / 138 ] simplifiying candidate # 4.092 * * * * [progress]: [ 43 / 138 ] simplifiying candidate # 4.092 * * * * [progress]: [ 44 / 138 ] simplifiying candidate # 4.092 * * * * [progress]: [ 45 / 138 ] simplifiying candidate # 4.092 * * * * [progress]: [ 46 / 138 ] simplifiying candidate # 4.092 * * * * [progress]: [ 47 / 138 ] simplifiying candidate # 4.092 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 4.092 * * * * [progress]: [ 49 / 138 ] simplifiying candidate # 4.092 * * * * [progress]: [ 50 / 138 ] simplifiying candidate # 4.092 * * * * [progress]: [ 51 / 138 ] simplifiying candidate # 4.092 * * * * [progress]: [ 52 / 138 ] simplifiying candidate # 4.092 * * * * [progress]: [ 53 / 138 ] simplifiying candidate # 4.092 * * * * [progress]: [ 54 / 138 ] simplifiying candidate # 4.092 * * * * [progress]: [ 55 / 138 ] simplifiying candidate # 4.092 * * * * [progress]: [ 56 / 138 ] simplifiying candidate # 4.092 * * * * [progress]: [ 57 / 138 ] simplifiying candidate # 4.092 * * * * [progress]: [ 58 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 59 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 60 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 61 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 62 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 63 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 64 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 4.093 * * * * [progress]: [ 66 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 67 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 68 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 69 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 70 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 71 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 72 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 73 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 74 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 75 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 76 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 77 / 138 ] simplifiying candidate # 4.093 * * * * [progress]: [ 78 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 79 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 80 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 81 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 82 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 83 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 84 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 85 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 86 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 87 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 88 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 89 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 90 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 91 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 92 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 93 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 94 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 4.094 * * * * [progress]: [ 96 / 138 ] simplifiying candidate # 4.094 * * * * [progress]: [ 97 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 98 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 99 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 100 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 101 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 102 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 103 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 104 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 105 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 106 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 107 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 108 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 109 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 110 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 111 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 112 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 113 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 114 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 115 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 116 / 138 ] simplifiying candidate # 4.095 * * * * [progress]: [ 117 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 118 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 119 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 120 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 121 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 122 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 123 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 124 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 125 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 4.096 * * * * [progress]: [ 127 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 128 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 129 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 130 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 131 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 132 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 133 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 134 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 135 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 136 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 137 / 138 ] simplifiying candidate # 4.096 * * * * [progress]: [ 138 / 138 ] simplifiying candidate # 4.098 * [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 x))))) x) (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x) (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x) (/ 1 x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) (/ (* (sin x) (sin x)) x) (/ (/ 1 (+ 1 (cos x))) x) (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x) (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x) (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x) (/ (- 1 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (+ 1 (cos x)))) (/ (* x x) (/ (sin x) (+ 1 (cos x)))) (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* x x) (/ 1 (+ 1 (cos x)))) (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) (/ (* x x) (- 1 (cos x))) (* (* x x) (+ 1 (cos x))) (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (expm1 (+ 1 (cos x))) (log1p (+ 1 (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)))) (- (* 1 1) (* (cos x) (cos x))) (- 1 (cos x)) (+ 1 (cos x)) (real->posit16 (+ 1 (cos x))) (expm1 (* (sin x) (sin x))) (log1p (* (sin x) (sin x))) (* 1/2 (cos (* 2 x))) (- (cos (- x x)) (cos (+ x x))) (+ 1 1) (* (sin x) (sin x)) (+ 1 1) (+ (log (sin x)) (log (sin x))) (log (* (sin x) (sin x))) (exp (* (sin x) (sin x))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) (cbrt (* (sin x) (sin x))) (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (sqrt (* (sin x) (sin x))) (sqrt (* (sin x) (sin x))) (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x)))) (* (cbrt (sin x)) (cbrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x))) (* 1 1) (* (sin x) (sin x)) (* (sqrt (sin x)) (sqrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x))) (* 2 1) (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))) (* (sin x) (sqrt (sin x))) (* (sin x) 1) (* (cbrt (sin x)) (sin x)) (* (sqrt (sin x)) (sin x)) (* (sin x) (sin x)) (real->posit16 (* (sin x) (sin x))) (expm1 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log1p (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (exp (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* (sin x) (sin x))) (- (+ 1 (cos x))) (/ 1/2 (+ 1 (cos x))) (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ 1 (+ 1 (cos x))) (/ (+ 1 (cos x)) (* (sin x) (sin x))) (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (/ (* (sin x) (sin x)) 1) (/ (* (sin x) (sin x)) 1) (/ (+ 1 (cos x)) (sin x)) (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (* (+ 1 (cos x)) 2) (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) (+ (cos x) 1) (+ (cos x) 1) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (/ (pow (sin x) 2) (+ (cos x) 1)) (/ (pow (sin x) 2) (+ (cos x) 1)) 4.100 * * [simplify]: iteration 0: 190 enodes 4.166 * * [simplify]: iteration 1: 525 enodes 4.541 * * [simplify]: iteration 2: 1777 enodes 5.182 * * [simplify]: iteration complete: 5001 enodes 5.183 * * [simplify]: Extracting #0: cost 104 inf + 0 5.186 * * [simplify]: Extracting #1: cost 843 inf + 2 5.199 * * [simplify]: Extracting #2: cost 1774 inf + 14597 5.262 * * [simplify]: Extracting #3: cost 1149 inf + 215474 5.385 * * [simplify]: Extracting #4: cost 128 inf + 504341 5.499 * * [simplify]: Extracting #5: cost 0 inf + 547251 5.613 * [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) (sin x)) (+ (cos x) 1)) x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) x)) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (* x x) (* x x)))) (* (* (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) x)) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (* x x) (* x x)))) (* (* (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) x)) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (* x x) (* x x)))) (* (* (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) x)) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (* x x) (* x x)))) (* (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (* (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (* (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)))) (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (* (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (sqrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (sqrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (- (/ (sin x) (/ (+ (cos x) 1) (sin x)))) (- (* x x)) (/ 1/2 (fma (* x x) (cos x) (* x x))) (/ (cos (+ x x)) (/ (fma (* x x) (cos x) (* x x)) 1/2)) (* (/ (cbrt (/ (sin x) (/ (+ (cos x) 1) (sin x)))) x) (cbrt (/ (sin x) (/ (+ (cos x) 1) (sin x))))) (/ (cbrt (/ (sin x) (/ (+ (cos x) 1) (sin x)))) x) (/ (sqrt (/ (sin x) (/ (+ (cos x) 1) (sin x)))) x) (/ (sqrt (/ (sin x) (/ (+ (cos x) 1) (sin x)))) x) (/ (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1))) x) (/ (/ (sin x) (cbrt (+ (cos x) 1))) x) (/ (/ (sin x) x) (sqrt (+ (cos x) 1))) (/ (/ (sin x) x) (sqrt (+ (cos x) 1))) (/ (sin x) x) (/ (tan (/ x 2)) x) (/ (sin x) x) (/ (tan (/ x 2)) x) (/ 1 x) (/ (/ (* (sin x) (sin x)) x) (+ (cos x) 1)) (/ (* (sin x) (sin x)) x) (/ (/ 1 x) (+ (cos x) 1)) (/ (* (sin x) (sin x)) (fma x (* (* (cos x) (cos x)) (cos x)) x)) (/ (- (fma (cos x) (cos x) 1) (cos x)) x) (/ (/ (* (sin x) (sin x)) (* (sin x) (sin x))) x) (/ (- 1 (cos x)) x) (/ 1 (* x x)) (* (/ (* x x) (sin x)) (/ (+ (cos x) 1) (sin x))) (/ (/ (* (sin x) (sin x)) x) (+ (cos x) 1)) (/ x (/ (cbrt (/ (sin x) (/ (+ (cos x) 1) (sin x)))) x)) (/ (* x x) (sqrt (/ (sin x) (/ (+ (cos x) 1) (sin x))))) (* (/ (* x x) (sin x)) (cbrt (+ (cos x) 1))) (* (sqrt (+ (cos x) 1)) (/ (* x x) (sin x))) (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2))) (* (/ (* x x) (sin x)) (/ (+ (cos x) 1) (sin x))) (fma (* x x) (cos x) (* x x)) (/ (* x x) (- (fma (cos x) (cos x) 1) (cos x))) (/ (* x x) (- 1 (cos x))) (fma (* x x) (cos x) (* x x)) (real->posit16 (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (expm1 (+ (cos x) 1)) (log1p (+ (cos x) 1)) (* E (exp (cos x))) (log1p (cos x)) (* E (exp (cos x))) (* (cbrt (+ (cos x) 1)) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)) (* (* (+ (cos x) 1) (+ (cos x) 1)) (+ (cos x) 1)) (sqrt (+ (cos x) 1)) (sqrt (+ (cos x) 1)) (fma (cos x) (* (cos x) (cos x)) 1) (- (fma (cos x) (cos x) 1) (cos x)) (* (sin x) (sin x)) (- 1 (cos x)) (+ (cos x) 1) (real->posit16 (+ (cos x) 1)) (expm1 (* (sin x) (sin x))) (log1p (* (sin x) (sin x))) (* 1/2 (cos (+ x x))) (- 1 (cos (+ x x))) 2 (* (sin x) (sin x)) 2 (+ (log (sin x)) (log (sin x))) (+ (log (sin x)) (log (sin x))) (exp (* (sin x) (sin x))) (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) (cbrt (* (sin x) (sin x))) (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (fabs (sin x)) (fabs (sin x)) (* (sin x) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x))) (sin x) (sin x) 1 (* (sin x) (sin x)) (sin x) (sin x) 2 (* (cbrt (sin x)) (* (cbrt (sin x)) (sin x))) (* (sin x) (sqrt (sin x))) (sin x) (* (sin x) (cbrt (sin x))) (* (sin x) (sqrt (sin x))) (* (sin x) (sin x)) (real->posit16 (* (sin x) (sin x))) (expm1 (/ (sin x) (/ (+ (cos x) 1) (sin x)))) (log1p (/ (sin x) (/ (+ (cos x) 1) (sin x)))) (log (/ (sin x) (/ (+ (cos x) 1) (sin x)))) (log (/ (sin x) (/ (+ (cos x) 1) (sin x)))) (log (/ (sin x) (/ (+ (cos x) 1) (sin x)))) (exp (/ (sin x) (/ (+ (cos x) 1) (sin x)))) (* (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (* (sin x) (sin x)) (+ (cos x) 1)))) (* (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (* (sin x) (sin x)) (+ (cos x) 1)))) (* (cbrt (/ (sin x) (/ (+ (cos x) 1) (sin x)))) (cbrt (/ (sin x) (/ (+ (cos x) 1) (sin x))))) (cbrt (/ (sin x) (/ (+ (cos x) 1) (sin x)))) (* (/ (sin x) (/ (+ (cos x) 1) (sin x))) (* (/ (sin x) (/ (+ (cos x) 1) (sin x))) (/ (sin x) (/ (+ (cos x) 1) (sin x))))) (sqrt (/ (sin x) (/ (+ (cos x) 1) (sin x)))) (sqrt (/ (sin x) (/ (+ (cos x) 1) (sin x)))) (* (sin x) (- (sin x))) (- -1 (cos x)) (/ 1/2 (+ (cos x) 1)) (/ 1/2 (/ (+ (cos x) 1) (cos (+ x x)))) (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1))) (/ (sin x) (cbrt (+ (cos x) 1))) (/ (sin x) (sqrt (+ (cos x) 1))) (/ (sin x) (sqrt (+ (cos x) 1))) (sin x) (tan (/ x 2)) (sin x) (tan (/ x 2)) (/ 1 (+ (cos x) 1)) (/ (+ (cos x) 1) (* (sin x) (sin x))) (* (/ (sin x) (cbrt (+ (cos x) 1))) (/ (sin x) (cbrt (+ (cos x) 1)))) (/ (* (sin x) (sin x)) (sqrt (+ (cos x) 1))) (* (sin x) (sin x)) (* (sin x) (sin x)) (/ (+ (cos x) 1) (sin x)) (* (/ (sin x) (fma (cos x) (* (cos x) (cos x)) 1)) (sin x)) (/ (* (sin x) (sin x)) (* (sin x) (sin x))) (fma 2 (cos x) 2) (real->posit16 (/ (sin x) (/ (+ (cos x) 1) (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 (* x x) -1/2 (fma (* (* x x) (* x x)) 1/24 2)) (+ (cos x) 1) (+ (cos x) 1) (fma -1/3 (* (* x x) (* x x)) (fma 2/45 (* (* (* x x) (* x x)) (* x x)) (* x x))) (* (sin x) (sin x)) (* (sin x) (sin x)) (fma -1/24 (* (* x x) (* x x)) (fma 1/720 (* (* (* x x) (* x x)) (* x x)) (* (* x x) 1/2))) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) 5.620 * * * [progress]: adding candidates to table 6.133 * * [progress]: iteration 3 / 4 6.133 * * * [progress]: picking best candidate 6.161 * * * * [pick]: Picked # 6.161 * * * [progress]: localizing error 6.189 * * * [progress]: generating rewritten candidates 6.189 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 6.204 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 6.216 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 6.249 * * * [progress]: generating series expansions 6.249 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 6.249 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 6.249 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 6.249 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 6.249 * [taylor]: Taking taylor expansion of (sin x) in x 6.249 * [taylor]: Taking taylor expansion of x in x 6.249 * [backup-simplify]: Simplify 0 into 0 6.249 * [backup-simplify]: Simplify 1 into 1 6.249 * [taylor]: Taking taylor expansion of x in x 6.249 * [backup-simplify]: Simplify 0 into 0 6.249 * [backup-simplify]: Simplify 1 into 1 6.250 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.251 * [backup-simplify]: Simplify (/ 1 1) into 1 6.251 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 6.251 * [taylor]: Taking taylor expansion of (sin x) in x 6.251 * [taylor]: Taking taylor expansion of x in x 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 1 into 1 6.251 * [taylor]: Taking taylor expansion of x in x 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 1 into 1 6.252 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.252 * [backup-simplify]: Simplify (/ 1 1) into 1 6.252 * [backup-simplify]: Simplify 1 into 1 6.253 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.254 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 6.257 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 6.257 * [backup-simplify]: Simplify -1/6 into -1/6 6.259 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 6.260 * [backup-simplify]: Simplify 0 into 0 6.264 * [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 6.265 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 6.265 * [backup-simplify]: Simplify 1/120 into 1/120 6.265 * [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))) 6.266 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 6.266 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 6.266 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 6.266 * [taylor]: Taking taylor expansion of x in x 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify 1 into 1 6.266 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 6.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.266 * [taylor]: Taking taylor expansion of x in x 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify 1 into 1 6.266 * [backup-simplify]: Simplify (/ 1 1) into 1 6.267 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 6.267 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 6.267 * [taylor]: Taking taylor expansion of x in x 6.267 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify 1 into 1 6.267 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 6.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.267 * [taylor]: Taking taylor expansion of x in x 6.267 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify 1 into 1 6.267 * [backup-simplify]: Simplify (/ 1 1) into 1 6.267 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 6.267 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 6.267 * [backup-simplify]: Simplify 0 into 0 6.268 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 6.268 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 6.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 6.269 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 6.270 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 6.272 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 6.273 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 6.275 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 6.278 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 6.278 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 6.278 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 6.278 * [taylor]: Taking taylor expansion of -1 in x 6.278 * [backup-simplify]: Simplify -1 into -1 6.278 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 6.278 * [taylor]: Taking taylor expansion of x in x 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify 1 into 1 6.278 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 6.278 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.278 * [taylor]: Taking taylor expansion of -1 in x 6.278 * [backup-simplify]: Simplify -1 into -1 6.278 * [taylor]: Taking taylor expansion of x in x 6.278 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 1 into 1 6.279 * [backup-simplify]: Simplify (/ -1 1) into -1 6.279 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 6.279 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 6.279 * [taylor]: Taking taylor expansion of -1 in x 6.279 * [backup-simplify]: Simplify -1 into -1 6.279 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 6.279 * [taylor]: Taking taylor expansion of x in x 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 1 into 1 6.279 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 6.279 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.279 * [taylor]: Taking taylor expansion of -1 in x 6.279 * [backup-simplify]: Simplify -1 into -1 6.279 * [taylor]: Taking taylor expansion of x in x 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 1 into 1 6.280 * [backup-simplify]: Simplify (/ -1 1) into -1 6.280 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 6.280 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 6.280 * [backup-simplify]: Simplify (* -1 0) into 0 6.280 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 6.281 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 6.281 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 6.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 6.283 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 6.283 * [backup-simplify]: Simplify 0 into 0 6.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 6.286 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 6.286 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 6.289 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 6.289 * [backup-simplify]: Simplify 0 into 0 6.292 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 6.294 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 6.294 * [backup-simplify]: Simplify 0 into 0 6.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 6.297 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 6.297 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 6.300 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 6.300 * [backup-simplify]: Simplify 0 into 0 6.300 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 6.300 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 6.301 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 6.301 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 6.301 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 6.301 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 6.303 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 6.303 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 6.303 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.303 * [taylor]: Taking taylor expansion of 1/2 in x 6.303 * [backup-simplify]: Simplify 1/2 into 1/2 6.303 * [taylor]: Taking taylor expansion of x in x 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 1 into 1 6.304 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.304 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.304 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 6.304 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.304 * [taylor]: Taking taylor expansion of 1/2 in x 6.304 * [backup-simplify]: Simplify 1/2 into 1/2 6.304 * [taylor]: Taking taylor expansion of x in x 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify 1 into 1 6.304 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.309 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 6.310 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.310 * [taylor]: Taking taylor expansion of x in x 6.310 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify 1 into 1 6.310 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.310 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 6.310 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 6.310 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 6.310 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 6.310 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.310 * [taylor]: Taking taylor expansion of 1/2 in x 6.310 * [backup-simplify]: Simplify 1/2 into 1/2 6.310 * [taylor]: Taking taylor expansion of x in x 6.310 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify 1 into 1 6.311 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.311 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.311 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 6.311 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.311 * [taylor]: Taking taylor expansion of 1/2 in x 6.311 * [backup-simplify]: Simplify 1/2 into 1/2 6.311 * [taylor]: Taking taylor expansion of x in x 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 1 into 1 6.312 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.312 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 6.313 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.313 * [taylor]: Taking taylor expansion of x in x 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 1 into 1 6.313 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.313 * [backup-simplify]: Simplify 1/2 into 1/2 6.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.314 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.314 * [backup-simplify]: Simplify (+ 0) into 0 6.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.317 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 6.318 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 6.319 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 6.319 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 6.319 * [backup-simplify]: Simplify 1/24 into 1/24 6.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.321 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.322 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 6.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 6.325 * [backup-simplify]: Simplify 0 into 0 6.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.328 * [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 6.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.330 * [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 6.331 * [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 6.332 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 6.332 * [backup-simplify]: Simplify 1/240 into 1/240 6.332 * [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)) 6.333 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 6.333 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 6.333 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 6.333 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 6.333 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.333 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 6.333 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.333 * [taylor]: Taking taylor expansion of 1/2 in x 6.333 * [backup-simplify]: Simplify 1/2 into 1/2 6.333 * [taylor]: Taking taylor expansion of x in x 6.333 * [backup-simplify]: Simplify 0 into 0 6.333 * [backup-simplify]: Simplify 1 into 1 6.333 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.333 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 6.333 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 6.333 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.333 * [taylor]: Taking taylor expansion of 1/2 in x 6.333 * [backup-simplify]: Simplify 1/2 into 1/2 6.333 * [taylor]: Taking taylor expansion of x in x 6.333 * [backup-simplify]: Simplify 0 into 0 6.333 * [backup-simplify]: Simplify 1 into 1 6.334 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.334 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 6.334 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.334 * [taylor]: Taking taylor expansion of x in x 6.334 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify 1 into 1 6.334 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 6.334 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 6.334 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.334 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 6.334 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.334 * [taylor]: Taking taylor expansion of 1/2 in x 6.334 * [backup-simplify]: Simplify 1/2 into 1/2 6.334 * [taylor]: Taking taylor expansion of x in x 6.334 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify 1 into 1 6.334 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.334 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 6.334 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 6.334 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.334 * [taylor]: Taking taylor expansion of 1/2 in x 6.334 * [backup-simplify]: Simplify 1/2 into 1/2 6.334 * [taylor]: Taking taylor expansion of x in x 6.334 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify 1 into 1 6.335 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.335 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 6.335 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.335 * [taylor]: Taking taylor expansion of x in x 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify 1 into 1 6.335 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 6.336 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.336 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.336 * [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 6.336 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 6.336 * [backup-simplify]: Simplify 0 into 0 6.337 * [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 6.337 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.337 * [backup-simplify]: Simplify 0 into 0 6.338 * [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 6.338 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.338 * [backup-simplify]: Simplify 0 into 0 6.339 * [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 6.339 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.339 * [backup-simplify]: Simplify 0 into 0 6.340 * [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 6.340 * [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 6.340 * [backup-simplify]: Simplify 0 into 0 6.341 * [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 6.342 * [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 6.342 * [backup-simplify]: Simplify 0 into 0 6.342 * [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)) 6.342 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 6.342 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 6.342 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 6.342 * [taylor]: Taking taylor expansion of -1 in x 6.342 * [backup-simplify]: Simplify -1 into -1 6.342 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 6.342 * [taylor]: Taking taylor expansion of x in x 6.342 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify 1 into 1 6.342 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 6.342 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.342 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 6.343 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.343 * [taylor]: Taking taylor expansion of -1/2 in x 6.343 * [backup-simplify]: Simplify -1/2 into -1/2 6.343 * [taylor]: Taking taylor expansion of x in x 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify 1 into 1 6.343 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.343 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 6.343 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 6.343 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.343 * [taylor]: Taking taylor expansion of -1/2 in x 6.343 * [backup-simplify]: Simplify -1/2 into -1/2 6.343 * [taylor]: Taking taylor expansion of x in x 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify 1 into 1 6.344 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.344 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 6.344 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.344 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 6.344 * [taylor]: Taking taylor expansion of -1 in x 6.344 * [backup-simplify]: Simplify -1 into -1 6.344 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 6.344 * [taylor]: Taking taylor expansion of x in x 6.344 * [backup-simplify]: Simplify 0 into 0 6.344 * [backup-simplify]: Simplify 1 into 1 6.344 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 6.344 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.344 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 6.344 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.345 * [taylor]: Taking taylor expansion of -1/2 in x 6.345 * [backup-simplify]: Simplify -1/2 into -1/2 6.345 * [taylor]: Taking taylor expansion of x in x 6.345 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify 1 into 1 6.345 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.345 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 6.345 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 6.345 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.345 * [taylor]: Taking taylor expansion of -1/2 in x 6.345 * [backup-simplify]: Simplify -1/2 into -1/2 6.345 * [taylor]: Taking taylor expansion of x in x 6.345 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify 1 into 1 6.346 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.346 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 6.346 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.346 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 6.347 * [backup-simplify]: Simplify (* -1 0) into 0 6.347 * [backup-simplify]: Simplify 0 into 0 6.347 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 6.348 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.348 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 6.348 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 6.349 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 6.351 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 6.351 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 6.354 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 6.354 * [backup-simplify]: Simplify 0 into 0 6.355 * [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 6.356 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 6.358 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 6.358 * [backup-simplify]: Simplify 0 into 0 6.359 * [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 6.361 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 6.363 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 6.363 * [backup-simplify]: Simplify 0 into 0 6.363 * [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 6.366 * [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 6.368 * [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 6.368 * [backup-simplify]: Simplify 0 into 0 6.369 * [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 6.372 * [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 6.374 * [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 6.374 * [backup-simplify]: Simplify 0 into 0 6.375 * [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)) 6.375 * * * * [progress]: [ 3 / 3 ] generating series at (2) 6.375 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 6.375 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 6.375 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 6.375 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 6.375 * [taylor]: Taking taylor expansion of (sin x) in x 6.375 * [taylor]: Taking taylor expansion of x in x 6.375 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify 1 into 1 6.375 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 6.375 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 6.375 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 6.375 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.375 * [taylor]: Taking taylor expansion of 1/2 in x 6.375 * [backup-simplify]: Simplify 1/2 into 1/2 6.375 * [taylor]: Taking taylor expansion of x in x 6.375 * [backup-simplify]: Simplify 0 into 0 6.376 * [backup-simplify]: Simplify 1 into 1 6.376 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.377 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.377 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 6.377 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.377 * [taylor]: Taking taylor expansion of 1/2 in x 6.377 * [backup-simplify]: Simplify 1/2 into 1/2 6.377 * [taylor]: Taking taylor expansion of x in x 6.377 * [backup-simplify]: Simplify 0 into 0 6.377 * [backup-simplify]: Simplify 1 into 1 6.377 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.378 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.379 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 6.379 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.379 * [taylor]: Taking taylor expansion of x in x 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify 1 into 1 6.380 * [backup-simplify]: Simplify (* 0 1/2) into 0 6.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.382 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.382 * [backup-simplify]: Simplify (+ 0) into 0 6.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.384 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.384 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 6.385 * [backup-simplify]: Simplify (* 1 1) into 1 6.385 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.385 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 6.385 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 6.385 * [taylor]: Taking taylor expansion of (sin x) in x 6.385 * [taylor]: Taking taylor expansion of x in x 6.385 * [backup-simplify]: Simplify 0 into 0 6.385 * [backup-simplify]: Simplify 1 into 1 6.385 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 6.385 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 6.385 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 6.386 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.386 * [taylor]: Taking taylor expansion of 1/2 in x 6.386 * [backup-simplify]: Simplify 1/2 into 1/2 6.386 * [taylor]: Taking taylor expansion of x in x 6.386 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify 1 into 1 6.386 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.387 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.387 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 6.387 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.387 * [taylor]: Taking taylor expansion of 1/2 in x 6.387 * [backup-simplify]: Simplify 1/2 into 1/2 6.387 * [taylor]: Taking taylor expansion of x in x 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify 1 into 1 6.387 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.388 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 6.389 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.389 * [taylor]: Taking taylor expansion of x in x 6.390 * [backup-simplify]: Simplify 0 into 0 6.390 * [backup-simplify]: Simplify 1 into 1 6.390 * [backup-simplify]: Simplify (* 0 1/2) into 0 6.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.392 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.392 * [backup-simplify]: Simplify (+ 0) into 0 6.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.394 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.394 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 6.395 * [backup-simplify]: Simplify (* 1 1) into 1 6.395 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.395 * [backup-simplify]: Simplify 1/2 into 1/2 6.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.398 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 6.399 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 6.400 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 6.401 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.402 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 6.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.403 * [backup-simplify]: Simplify 0 into 0 6.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.407 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.409 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 6.413 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 6.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 6.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.417 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 6.417 * [backup-simplify]: Simplify -1/24 into -1/24 6.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.424 * [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 6.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.428 * [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 6.430 * [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 6.435 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.436 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 6.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 6.438 * [backup-simplify]: Simplify 0 into 0 6.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.442 * [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 6.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.444 * [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 6.446 * [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 6.447 * [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 6.449 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 6.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.450 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 6.450 * [backup-simplify]: Simplify 1/720 into 1/720 6.451 * [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))) 6.451 * [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)))) 6.451 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 6.451 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 6.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.451 * [taylor]: Taking taylor expansion of x in x 6.451 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify 1 into 1 6.451 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 6.451 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 6.451 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.451 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 6.451 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.451 * [taylor]: Taking taylor expansion of 1/2 in x 6.451 * [backup-simplify]: Simplify 1/2 into 1/2 6.451 * [taylor]: Taking taylor expansion of x in x 6.451 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify 1 into 1 6.451 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.451 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 6.451 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 6.451 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.451 * [taylor]: Taking taylor expansion of 1/2 in x 6.451 * [backup-simplify]: Simplify 1/2 into 1/2 6.451 * [taylor]: Taking taylor expansion of x in x 6.451 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify 1 into 1 6.452 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.452 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 6.452 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.452 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 6.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.452 * [taylor]: Taking taylor expansion of x in x 6.452 * [backup-simplify]: Simplify 0 into 0 6.452 * [backup-simplify]: Simplify 1 into 1 6.452 * [backup-simplify]: Simplify (/ 1 1) into 1 6.452 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 6.452 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 6.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.452 * [taylor]: Taking taylor expansion of x in x 6.452 * [backup-simplify]: Simplify 0 into 0 6.452 * [backup-simplify]: Simplify 1 into 1 6.452 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 6.452 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 6.452 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.452 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 6.452 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.452 * [taylor]: Taking taylor expansion of 1/2 in x 6.452 * [backup-simplify]: Simplify 1/2 into 1/2 6.452 * [taylor]: Taking taylor expansion of x in x 6.453 * [backup-simplify]: Simplify 0 into 0 6.453 * [backup-simplify]: Simplify 1 into 1 6.453 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.453 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 6.453 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 6.453 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.453 * [taylor]: Taking taylor expansion of 1/2 in x 6.453 * [backup-simplify]: Simplify 1/2 into 1/2 6.453 * [taylor]: Taking taylor expansion of x in x 6.453 * [backup-simplify]: Simplify 0 into 0 6.453 * [backup-simplify]: Simplify 1 into 1 6.453 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.453 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 6.453 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.453 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 6.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.453 * [taylor]: Taking taylor expansion of x in x 6.453 * [backup-simplify]: Simplify 0 into 0 6.453 * [backup-simplify]: Simplify 1 into 1 6.454 * [backup-simplify]: Simplify (/ 1 1) into 1 6.454 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 6.454 * [backup-simplify]: Simplify (* 1 1) into 1 6.454 * [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))) 6.454 * [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))) 6.454 * [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))) 6.455 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 6.455 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 6.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 6.455 * [backup-simplify]: Simplify 0 into 0 6.456 * [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)))))) into 0 6.456 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 6.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 6.457 * [backup-simplify]: Simplify 0 into 0 6.457 * [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)))))) into 0 6.458 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 6.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 6.459 * [backup-simplify]: Simplify 0 into 0 6.460 * [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 6.460 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 6.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.462 * [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 6.462 * [backup-simplify]: Simplify 0 into 0 6.463 * [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)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 6.463 * [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 6.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.465 * [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 6.465 * [backup-simplify]: Simplify 0 into 0 6.466 * [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 6.467 * [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 6.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.469 * [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 6.469 * [backup-simplify]: Simplify 0 into 0 6.470 * [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))) 6.470 * [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)))) 6.470 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 6.470 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 6.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.470 * [taylor]: Taking taylor expansion of x in x 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify 1 into 1 6.470 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 6.470 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 6.470 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.470 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 6.470 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.470 * [taylor]: Taking taylor expansion of -1/2 in x 6.470 * [backup-simplify]: Simplify -1/2 into -1/2 6.470 * [taylor]: Taking taylor expansion of x in x 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify 1 into 1 6.470 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.470 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 6.470 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 6.470 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.470 * [taylor]: Taking taylor expansion of -1/2 in x 6.470 * [backup-simplify]: Simplify -1/2 into -1/2 6.470 * [taylor]: Taking taylor expansion of x in x 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify 1 into 1 6.471 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.471 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 6.471 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.471 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 6.471 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.471 * [taylor]: Taking taylor expansion of -1 in x 6.471 * [backup-simplify]: Simplify -1 into -1 6.471 * [taylor]: Taking taylor expansion of x in x 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify 1 into 1 6.471 * [backup-simplify]: Simplify (/ -1 1) into -1 6.472 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 6.472 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 6.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.472 * [taylor]: Taking taylor expansion of x in x 6.472 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify 1 into 1 6.472 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 6.472 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 6.472 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.472 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 6.472 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.472 * [taylor]: Taking taylor expansion of -1/2 in x 6.472 * [backup-simplify]: Simplify -1/2 into -1/2 6.472 * [taylor]: Taking taylor expansion of x in x 6.472 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify 1 into 1 6.472 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.472 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 6.472 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 6.472 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.472 * [taylor]: Taking taylor expansion of -1/2 in x 6.472 * [backup-simplify]: Simplify -1/2 into -1/2 6.472 * [taylor]: Taking taylor expansion of x in x 6.472 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify 1 into 1 6.472 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.473 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 6.473 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.473 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 6.473 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.473 * [taylor]: Taking taylor expansion of -1 in x 6.473 * [backup-simplify]: Simplify -1 into -1 6.473 * [taylor]: Taking taylor expansion of x in x 6.473 * [backup-simplify]: Simplify 0 into 0 6.473 * [backup-simplify]: Simplify 1 into 1 6.473 * [backup-simplify]: Simplify (/ -1 1) into -1 6.473 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 6.473 * [backup-simplify]: Simplify (* 1 1) into 1 6.473 * [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))) 6.474 * [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))) 6.474 * [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))) 6.474 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 6.474 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 6.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 6.476 * [backup-simplify]: Simplify 0 into 0 6.476 * [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)))))) into 0 6.476 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 6.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 6.478 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.480 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 6.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 6.482 * [backup-simplify]: Simplify 0 into 0 6.483 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.484 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 6.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.487 * [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 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [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 6.489 * [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 6.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.492 * [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 6.492 * [backup-simplify]: Simplify 0 into 0 6.493 * [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 6.495 * [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 6.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.499 * [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 6.499 * [backup-simplify]: Simplify 0 into 0 6.499 * [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))) 6.500 * * * [progress]: simplifying candidates 6.500 * * * * [progress]: [ 1 / 123 ] simplifiying candidate # 6.500 * * * * [progress]: [ 2 / 123 ] simplifiying candidate # 6.500 * * * * [progress]: [ 3 / 123 ] simplifiying candidate # 6.500 * * * * [progress]: [ 4 / 123 ] simplifiying candidate # 6.500 * * * * [progress]: [ 5 / 123 ] simplifiying candidate # 6.500 * * * * [progress]: [ 6 / 123 ] simplifiying candidate # 6.500 * * * * [progress]: [ 7 / 123 ] simplifiying candidate # 6.500 * * * * [progress]: [ 8 / 123 ] simplifiying candidate # 6.500 * * * * [progress]: [ 9 / 123 ] simplifiying candidate # 6.500 * * * * [progress]: [ 10 / 123 ] simplifiying candidate # 6.500 * * * * [progress]: [ 11 / 123 ] simplifiying candidate # 6.500 * * * * [progress]: [ 12 / 123 ] simplifiying candidate # 6.500 * * * * [progress]: [ 13 / 123 ] simplifiying candidate # 6.500 * * * * [progress]: [ 14 / 123 ] simplifiying candidate # 6.500 * * * * [progress]: [ 15 / 123 ] simplifiying candidate # 6.501 * * * * [progress]: [ 16 / 123 ] simplifiying candidate # 6.501 * * * * [progress]: [ 17 / 123 ] simplifiying candidate # 6.501 * * * * [progress]: [ 18 / 123 ] simplifiying candidate # 6.501 * * * * [progress]: [ 19 / 123 ] simplifiying candidate # 6.501 * * * * [progress]: [ 20 / 123 ] simplifiying candidate # 6.501 * * * * [progress]: [ 21 / 123 ] simplifiying candidate # 6.501 * * * * [progress]: [ 22 / 123 ] simplifiying candidate # 6.501 * * * * [progress]: [ 23 / 123 ] simplifiying candidate # 6.501 * * * * [progress]: [ 24 / 123 ] simplifiying candidate # 6.501 * * * * [progress]: [ 25 / 123 ] simplifiying candidate # 6.501 * * * * [progress]: [ 26 / 123 ] simplifiying candidate # 6.501 * * * * [progress]: [ 27 / 123 ] simplifiying candidate # 6.501 * * * * [progress]: [ 28 / 123 ] simplifiying candidate # 6.501 * * * * [progress]: [ 29 / 123 ] simplifiying candidate # 6.501 * * * * [progress]: [ 30 / 123 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))> 6.501 * * * * [progress]: [ 31 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 32 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 33 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 34 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 35 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 36 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 37 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 38 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 39 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 40 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 41 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 42 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 43 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 44 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 45 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 46 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 47 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 48 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 49 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 50 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 51 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 52 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 53 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 54 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 55 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 56 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 57 / 123 ] simplifiying candidate # 6.502 * * * * [progress]: [ 58 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 59 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 60 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 61 / 123 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))))> 6.503 * * * * [progress]: [ 62 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 63 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 64 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 65 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 66 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 67 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 68 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 69 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 70 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 71 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 72 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 73 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 74 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 75 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 76 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 77 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 78 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 79 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 80 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 81 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 82 / 123 ] simplifiying candidate # 6.503 * * * * [progress]: [ 83 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 84 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 85 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 86 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 87 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 88 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 89 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 90 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 91 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 92 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 93 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 94 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 95 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 96 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 97 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 98 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 99 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 100 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 101 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 102 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 103 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 104 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 105 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 106 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 107 / 123 ] simplifiying candidate # 6.504 * * * * [progress]: [ 108 / 123 ] simplifiying candidate # 6.505 * * * * [progress]: [ 109 / 123 ] simplifiying candidate # 6.505 * * * * [progress]: [ 110 / 123 ] simplifiying candidate # 6.505 * * * * [progress]: [ 111 / 123 ] simplifiying candidate # 6.505 * * * * [progress]: [ 112 / 123 ] simplifiying candidate # 6.505 * * * * [progress]: [ 113 / 123 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))> 6.505 * * * * [progress]: [ 114 / 123 ] simplifiying candidate # 6.505 * * * * [progress]: [ 115 / 123 ] simplifiying candidate # 6.505 * * * * [progress]: [ 116 / 123 ] simplifiying candidate # 6.505 * * * * [progress]: [ 117 / 123 ] simplifiying candidate # 6.505 * * * * [progress]: [ 118 / 123 ] simplifiying candidate # 6.505 * * * * [progress]: [ 119 / 123 ] simplifiying candidate # 6.505 * * * * [progress]: [ 120 / 123 ] simplifiying candidate # 6.505 * * * * [progress]: [ 121 / 123 ] simplifiying candidate # 6.505 * * * * [progress]: [ 122 / 123 ] simplifiying candidate # 6.505 * * * * [progress]: [ 123 / 123 ] simplifiying candidate # 6.506 * [simplify]: Simplifying: (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 (/ (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) (/ (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))) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) 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)) (- (+ (* 1/720 (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))) 6.508 * * [simplify]: iteration 0: 172 enodes 6.561 * * [simplify]: iteration 1: 453 enodes 6.751 * * [simplify]: iteration 2: 1573 enodes 7.883 * * [simplify]: iteration complete: 5002 enodes 7.883 * * [simplify]: Extracting #0: cost 107 inf + 0 7.886 * * [simplify]: Extracting #1: cost 729 inf + 1 7.896 * * [simplify]: Extracting #2: cost 1434 inf + 1430 7.915 * * [simplify]: Extracting #3: cost 1239 inf + 39991 7.962 * * [simplify]: Extracting #4: cost 702 inf + 187142 8.036 * * [simplify]: Extracting #5: cost 60 inf + 413196 8.153 * * [simplify]: Extracting #6: cost 0 inf + 436775 8.253 * [simplify]: Simplified to: (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)) 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))) (* x (cos (/ x 2))) (real->posit16 (/ (tan (/ x 2)) 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)))) (* (sin x) (tan (/ x 2))) (* x x) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (sin x) x))) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (sin x) x))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (/ (sin x) x))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (/ (sin x) x))) (/ (* (sqrt (/ (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 (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (cbrt (/ (tan (/ x 2)) x)) (* (cbrt (/ (tan (/ x 2)) x)) (/ (sin x) x))) (* (sqrt (/ (tan (/ x 2)) x)) (/ (sin x) x)) (/ (/ (sin x) x) (* (/ (cbrt x) (cbrt (tan (/ x 2)))) (/ (cbrt x) (cbrt (tan (/ x 2)))))) (/ (* (* (/ (sin x) x) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))) (sqrt x)) (* (* (/ (sin x) x) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))) (/ (/ (* (sqrt (tan (/ x 2))) (sin x)) x) (* (cbrt x) (cbrt x))) (/ (/ (* (sqrt (tan (/ x 2))) (sin x)) x) (sqrt x)) (/ (* (sqrt (tan (/ x 2))) (sin x)) x) (/ (/ (sin x) (* (cbrt x) (cbrt x))) x) (/ (/ (sin x) (sqrt x)) x) (/ (sin x) x) (/ (sin x) x) (* (sin x) (/ (tan (/ x 2)) x)) (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (sqrt (/ (sin x) x))) (/ (/ (* (tan (/ x 2)) (cbrt (sin x))) x) (cbrt x)) (/ (* (cbrt (sin x)) (/ (tan (/ x 2)) x)) (sqrt x)) (* (/ (tan (/ x 2)) x) (/ (cbrt (sin x)) x)) (* (/ (sqrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) (sqrt x))) (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) x)) (* (/ (tan (/ x 2)) x) (/ (sin x) (cbrt x))) (/ (sin x) (/ (sqrt x) (/ (tan (/ x 2)) x))) (* (tan (/ x 2)) (/ (sin x) (* x x))) (* (tan (/ x 2)) (/ (sin x) (* x x))) (/ (/ (tan (/ x 2)) x) x) (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x)) (real->posit16 (* (tan (/ x 2)) (/ (sin x) (* x x)))) (fma (* x x) -1/6 (fma (* (* x x) (* x x)) 1/120 1)) (/ (sin x) x) (/ (sin x) 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 -1/24 (* x x) (fma 1/720 (* (* x x) (* x x)) 1/2)) (/ (sin x) (/ (* (cos (* 1/2 x)) (* x x)) (sin (* 1/2 x)))) (/ (sin x) (/ (* (cos (* 1/2 x)) (* x x)) (sin (* 1/2 x)))) 8.259 * * * [progress]: adding candidates to table 8.704 * * [progress]: iteration 4 / 4 8.704 * * * [progress]: picking best candidate 8.721 * * * * [pick]: Picked # 8.721 * * * [progress]: localizing error 8.739 * * * [progress]: generating rewritten candidates 8.739 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 8.755 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 8.767 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 8.795 * * * [progress]: generating series expansions 8.795 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 8.795 * [backup-simplify]: Simplify (* (sin x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) x) 8.795 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in (x) around 0 8.795 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 8.795 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 8.795 * [taylor]: Taking taylor expansion of (sin x) in x 8.795 * [taylor]: Taking taylor expansion of x in x 8.795 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 1 into 1 8.796 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 8.796 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 8.796 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 8.796 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.796 * [taylor]: Taking taylor expansion of 1/2 in x 8.796 * [backup-simplify]: Simplify 1/2 into 1/2 8.796 * [taylor]: Taking taylor expansion of x in x 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 1 into 1 8.797 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.798 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.798 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 8.798 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.798 * [taylor]: Taking taylor expansion of 1/2 in x 8.798 * [backup-simplify]: Simplify 1/2 into 1/2 8.798 * [taylor]: Taking taylor expansion of x in x 8.798 * [backup-simplify]: Simplify 0 into 0 8.798 * [backup-simplify]: Simplify 1 into 1 8.798 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.798 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.799 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 8.799 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.799 * [taylor]: Taking taylor expansion of x in x 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [backup-simplify]: Simplify 1 into 1 8.800 * [backup-simplify]: Simplify (* 0 1/2) into 0 8.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.801 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.801 * [backup-simplify]: Simplify (+ 0) into 0 8.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.802 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.806 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 8.807 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.807 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 8.807 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 8.807 * [taylor]: Taking taylor expansion of (sin x) in x 8.807 * [taylor]: Taking taylor expansion of x in x 8.807 * [backup-simplify]: Simplify 0 into 0 8.807 * [backup-simplify]: Simplify 1 into 1 8.807 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 8.807 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 8.807 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 8.807 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.807 * [taylor]: Taking taylor expansion of 1/2 in x 8.807 * [backup-simplify]: Simplify 1/2 into 1/2 8.807 * [taylor]: Taking taylor expansion of x in x 8.807 * [backup-simplify]: Simplify 0 into 0 8.807 * [backup-simplify]: Simplify 1 into 1 8.807 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.808 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.808 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 8.808 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.808 * [taylor]: Taking taylor expansion of 1/2 in x 8.808 * [backup-simplify]: Simplify 1/2 into 1/2 8.808 * [taylor]: Taking taylor expansion of x in x 8.808 * [backup-simplify]: Simplify 0 into 0 8.808 * [backup-simplify]: Simplify 1 into 1 8.808 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.809 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.809 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 8.809 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.809 * [taylor]: Taking taylor expansion of x in x 8.809 * [backup-simplify]: Simplify 0 into 0 8.809 * [backup-simplify]: Simplify 1 into 1 8.810 * [backup-simplify]: Simplify (* 0 1/2) into 0 8.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.811 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.811 * [backup-simplify]: Simplify (+ 0) into 0 8.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.812 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.812 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 8.813 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.813 * [backup-simplify]: Simplify 1/2 into 1/2 8.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.814 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 8.815 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 8.816 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 8.816 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.817 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 8.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.817 * [backup-simplify]: Simplify 0 into 0 8.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.819 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.820 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 8.822 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 8.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 8.823 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 8.824 * [backup-simplify]: Simplify -1/24 into -1/24 8.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.827 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 8.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.831 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 8.834 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 8.835 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.837 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 8.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 8.838 * [backup-simplify]: Simplify 0 into 0 8.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.845 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.848 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 8.852 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 8.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 8.854 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 8.855 * [backup-simplify]: Simplify 1/720 into 1/720 8.855 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 8.855 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) into (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) x)) 8.855 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) x)) in (x) around 0 8.855 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) x)) in x 8.855 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 8.855 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.855 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 8.855 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.855 * [taylor]: Taking taylor expansion of 1/2 in x 8.855 * [backup-simplify]: Simplify 1/2 into 1/2 8.855 * [taylor]: Taking taylor expansion of x in x 8.855 * [backup-simplify]: Simplify 0 into 0 8.855 * [backup-simplify]: Simplify 1 into 1 8.855 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.855 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 8.856 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 8.856 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.856 * [taylor]: Taking taylor expansion of 1/2 in x 8.856 * [backup-simplify]: Simplify 1/2 into 1/2 8.856 * [taylor]: Taking taylor expansion of x in x 8.856 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify 1 into 1 8.856 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.856 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 8.856 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.856 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) x) in x 8.856 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.856 * [taylor]: Taking taylor expansion of x in x 8.856 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify 1 into 1 8.856 * [backup-simplify]: Simplify (/ 1 1) into 1 8.856 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 8.856 * [taylor]: Taking taylor expansion of x in x 8.856 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify 1 into 1 8.856 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) x)) in x 8.856 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 8.857 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.857 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 8.857 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.857 * [taylor]: Taking taylor expansion of 1/2 in x 8.857 * [backup-simplify]: Simplify 1/2 into 1/2 8.857 * [taylor]: Taking taylor expansion of x in x 8.857 * [backup-simplify]: Simplify 0 into 0 8.857 * [backup-simplify]: Simplify 1 into 1 8.857 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.857 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 8.857 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 8.857 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.857 * [taylor]: Taking taylor expansion of 1/2 in x 8.857 * [backup-simplify]: Simplify 1/2 into 1/2 8.857 * [taylor]: Taking taylor expansion of x in x 8.857 * [backup-simplify]: Simplify 0 into 0 8.857 * [backup-simplify]: Simplify 1 into 1 8.857 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.857 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 8.857 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.857 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) x) in x 8.857 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.858 * [taylor]: Taking taylor expansion of x in x 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 1 into 1 8.858 * [backup-simplify]: Simplify (/ 1 1) into 1 8.858 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 8.858 * [taylor]: Taking taylor expansion of x in x 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 1 into 1 8.858 * [backup-simplify]: Simplify (* (sin (/ 1 x)) 0) into 0 8.858 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 1) (* 0 0)) into (sin (/ 1 x)) 8.859 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 8.859 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) (* 0 0)) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 8.859 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 8.859 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 1) (* 0 0))) into 0 8.860 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.860 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 (sin (/ 1 x))) (* 0 0))) into 0 8.860 * [backup-simplify]: Simplify 0 into 0 8.861 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.861 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.861 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 (sin (/ 1 x))) (* 0 0)))) into 0 8.861 * [backup-simplify]: Simplify 0 into 0 8.862 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.862 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.863 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ 1 x))) (* 0 0))))) into 0 8.863 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.865 * [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)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.866 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ 1 x))) (* 0 0)))))) into 0 8.866 * [backup-simplify]: Simplify 0 into 0 8.867 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.867 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.868 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ 1 x))) (* 0 0))))))) into 0 8.868 * [backup-simplify]: Simplify 0 into 0 8.869 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.869 * [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 8.871 * [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))) (* 0 0)))))))) into 0 8.871 * [backup-simplify]: Simplify 0 into 0 8.871 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) 8.871 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) into (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) 8.871 * [approximate]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in (x) around 0 8.871 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 8.871 * [taylor]: Taking taylor expansion of -1 in x 8.871 * [backup-simplify]: Simplify -1 into -1 8.871 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 8.871 * [taylor]: Taking taylor expansion of x in x 8.871 * [backup-simplify]: Simplify 0 into 0 8.871 * [backup-simplify]: Simplify 1 into 1 8.871 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 8.871 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 8.871 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.871 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 8.871 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.871 * [taylor]: Taking taylor expansion of -1/2 in x 8.871 * [backup-simplify]: Simplify -1/2 into -1/2 8.871 * [taylor]: Taking taylor expansion of x in x 8.871 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify 1 into 1 8.872 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.872 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 8.872 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 8.872 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.872 * [taylor]: Taking taylor expansion of -1/2 in x 8.872 * [backup-simplify]: Simplify -1/2 into -1/2 8.872 * [taylor]: Taking taylor expansion of x in x 8.872 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify 1 into 1 8.872 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.872 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 8.872 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.872 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.872 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.872 * [taylor]: Taking taylor expansion of -1 in x 8.872 * [backup-simplify]: Simplify -1 into -1 8.872 * [taylor]: Taking taylor expansion of x in x 8.872 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify 1 into 1 8.873 * [backup-simplify]: Simplify (/ -1 1) into -1 8.873 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 8.873 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 8.873 * [taylor]: Taking taylor expansion of -1 in x 8.873 * [backup-simplify]: Simplify -1 into -1 8.873 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 8.873 * [taylor]: Taking taylor expansion of x in x 8.873 * [backup-simplify]: Simplify 0 into 0 8.873 * [backup-simplify]: Simplify 1 into 1 8.873 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 8.873 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 8.873 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.873 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 8.873 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.873 * [taylor]: Taking taylor expansion of -1/2 in x 8.873 * [backup-simplify]: Simplify -1/2 into -1/2 8.873 * [taylor]: Taking taylor expansion of x in x 8.873 * [backup-simplify]: Simplify 0 into 0 8.873 * [backup-simplify]: Simplify 1 into 1 8.873 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.873 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 8.873 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 8.873 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.873 * [taylor]: Taking taylor expansion of -1/2 in x 8.873 * [backup-simplify]: Simplify -1/2 into -1/2 8.873 * [taylor]: Taking taylor expansion of x in x 8.874 * [backup-simplify]: Simplify 0 into 0 8.874 * [backup-simplify]: Simplify 1 into 1 8.874 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.874 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 8.874 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.874 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.874 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.874 * [taylor]: Taking taylor expansion of -1 in x 8.874 * [backup-simplify]: Simplify -1 into -1 8.874 * [taylor]: Taking taylor expansion of x in x 8.874 * [backup-simplify]: Simplify 0 into 0 8.874 * [backup-simplify]: Simplify 1 into 1 8.874 * [backup-simplify]: Simplify (/ -1 1) into -1 8.874 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 8.875 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 8.875 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into 0 8.875 * [backup-simplify]: Simplify (* -1 0) into 0 8.875 * [backup-simplify]: Simplify 0 into 0 8.875 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 8.875 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 8.876 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 8.876 * [backup-simplify]: Simplify (+ (* -1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) 8.876 * [backup-simplify]: Simplify (- (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (- (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) 8.876 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.877 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 8.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 8.878 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))) into 0 8.878 * [backup-simplify]: Simplify 0 into 0 8.879 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.880 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 8.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 8.883 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))) into 0 8.883 * [backup-simplify]: Simplify 0 into 0 8.883 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.884 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 8.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 8.888 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))))) into 0 8.888 * [backup-simplify]: Simplify 0 into 0 8.889 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.891 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 8.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 8.895 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 8.895 * [backup-simplify]: Simplify 0 into 0 8.896 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.898 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 8.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 8.901 * [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)))) (* 0 0))))))) into 0 8.901 * [backup-simplify]: Simplify 0 into 0 8.901 * [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 8.902 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 8.904 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))))) into 0 8.906 * [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)))) (* 0 0)))))))) into 0 8.906 * [backup-simplify]: Simplify 0 into 0 8.906 * [backup-simplify]: Simplify (* (- (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) 8.906 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 8.906 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 8.906 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 8.906 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 8.906 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 8.906 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 8.906 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 8.906 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.906 * [taylor]: Taking taylor expansion of 1/2 in x 8.906 * [backup-simplify]: Simplify 1/2 into 1/2 8.906 * [taylor]: Taking taylor expansion of x in x 8.906 * [backup-simplify]: Simplify 0 into 0 8.906 * [backup-simplify]: Simplify 1 into 1 8.907 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.907 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.907 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 8.907 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.907 * [taylor]: Taking taylor expansion of 1/2 in x 8.907 * [backup-simplify]: Simplify 1/2 into 1/2 8.907 * [taylor]: Taking taylor expansion of x in x 8.907 * [backup-simplify]: Simplify 0 into 0 8.907 * [backup-simplify]: Simplify 1 into 1 8.908 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.912 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.912 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 8.913 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.913 * [taylor]: Taking taylor expansion of x in x 8.913 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify 1 into 1 8.913 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.913 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 8.913 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 8.913 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 8.913 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 8.913 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.913 * [taylor]: Taking taylor expansion of 1/2 in x 8.913 * [backup-simplify]: Simplify 1/2 into 1/2 8.913 * [taylor]: Taking taylor expansion of x in x 8.913 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify 1 into 1 8.913 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.914 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.914 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 8.914 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.914 * [taylor]: Taking taylor expansion of 1/2 in x 8.914 * [backup-simplify]: Simplify 1/2 into 1/2 8.914 * [taylor]: Taking taylor expansion of x in x 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [backup-simplify]: Simplify 1 into 1 8.914 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.915 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.915 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 8.915 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.915 * [taylor]: Taking taylor expansion of x in x 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 1 into 1 8.916 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.916 * [backup-simplify]: Simplify 1/2 into 1/2 8.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.917 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.917 * [backup-simplify]: Simplify (+ 0) into 0 8.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.918 * [backup-simplify]: Simplify 0 into 0 8.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.920 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 8.921 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 8.921 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 8.922 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 8.922 * [backup-simplify]: Simplify 1/24 into 1/24 8.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.924 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.925 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 8.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.933 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 8.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 8.940 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 8.941 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 8.941 * [backup-simplify]: Simplify 1/240 into 1/240 8.942 * [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)) 8.942 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 8.942 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 8.942 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 8.942 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 8.942 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.942 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 8.942 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.942 * [taylor]: Taking taylor expansion of 1/2 in x 8.942 * [backup-simplify]: Simplify 1/2 into 1/2 8.942 * [taylor]: Taking taylor expansion of x in x 8.942 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify 1 into 1 8.942 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.943 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 8.943 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 8.943 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.943 * [taylor]: Taking taylor expansion of 1/2 in x 8.943 * [backup-simplify]: Simplify 1/2 into 1/2 8.943 * [taylor]: Taking taylor expansion of x in x 8.943 * [backup-simplify]: Simplify 0 into 0 8.943 * [backup-simplify]: Simplify 1 into 1 8.943 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.943 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 8.943 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.943 * [taylor]: Taking taylor expansion of x in x 8.943 * [backup-simplify]: Simplify 0 into 0 8.943 * [backup-simplify]: Simplify 1 into 1 8.944 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 8.944 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 8.944 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.944 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 8.944 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.944 * [taylor]: Taking taylor expansion of 1/2 in x 8.944 * [backup-simplify]: Simplify 1/2 into 1/2 8.944 * [taylor]: Taking taylor expansion of x in x 8.944 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify 1 into 1 8.944 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.944 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 8.944 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 8.944 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.944 * [taylor]: Taking taylor expansion of 1/2 in x 8.944 * [backup-simplify]: Simplify 1/2 into 1/2 8.944 * [taylor]: Taking taylor expansion of x in x 8.944 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify 1 into 1 8.945 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.945 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 8.945 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.945 * [taylor]: Taking taylor expansion of x in x 8.945 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify 1 into 1 8.945 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 8.946 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.946 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.947 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.948 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 8.948 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.949 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.949 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.951 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.951 * [backup-simplify]: Simplify 0 into 0 8.951 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.952 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.952 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.954 * [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 8.954 * [backup-simplify]: Simplify 0 into 0 8.955 * [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 8.957 * [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 8.957 * [backup-simplify]: Simplify 0 into 0 8.957 * [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)) 8.957 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 8.957 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 8.957 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 8.957 * [taylor]: Taking taylor expansion of -1 in x 8.957 * [backup-simplify]: Simplify -1 into -1 8.957 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 8.957 * [taylor]: Taking taylor expansion of x in x 8.957 * [backup-simplify]: Simplify 0 into 0 8.957 * [backup-simplify]: Simplify 1 into 1 8.957 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 8.957 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.957 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 8.957 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.957 * [taylor]: Taking taylor expansion of -1/2 in x 8.957 * [backup-simplify]: Simplify -1/2 into -1/2 8.958 * [taylor]: Taking taylor expansion of x in x 8.958 * [backup-simplify]: Simplify 0 into 0 8.958 * [backup-simplify]: Simplify 1 into 1 8.958 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.958 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 8.958 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 8.958 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.958 * [taylor]: Taking taylor expansion of -1/2 in x 8.958 * [backup-simplify]: Simplify -1/2 into -1/2 8.958 * [taylor]: Taking taylor expansion of x in x 8.958 * [backup-simplify]: Simplify 0 into 0 8.958 * [backup-simplify]: Simplify 1 into 1 8.959 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.959 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 8.959 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.959 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 8.959 * [taylor]: Taking taylor expansion of -1 in x 8.959 * [backup-simplify]: Simplify -1 into -1 8.959 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 8.959 * [taylor]: Taking taylor expansion of x in x 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify 1 into 1 8.959 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 8.959 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.959 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 8.959 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.959 * [taylor]: Taking taylor expansion of -1/2 in x 8.959 * [backup-simplify]: Simplify -1/2 into -1/2 8.959 * [taylor]: Taking taylor expansion of x in x 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify 1 into 1 8.960 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.960 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 8.960 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 8.960 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.960 * [taylor]: Taking taylor expansion of -1/2 in x 8.960 * [backup-simplify]: Simplify -1/2 into -1/2 8.960 * [taylor]: Taking taylor expansion of x in x 8.960 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify 1 into 1 8.961 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.961 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 8.961 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.961 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 8.961 * [backup-simplify]: Simplify (* -1 0) into 0 8.961 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 8.962 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.963 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 8.963 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 8.963 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.964 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 8.965 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 8.965 * [backup-simplify]: Simplify 0 into 0 8.966 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 8.968 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 8.969 * [backup-simplify]: Simplify 0 into 0 8.969 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 8.973 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 8.973 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 8.977 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 8.977 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.980 * [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 8.982 * [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 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [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 8.986 * [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 8.988 * [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 8.989 * [backup-simplify]: Simplify 0 into 0 8.989 * [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)) 8.989 * * * * [progress]: [ 3 / 3 ] generating series at (2) 8.989 * [backup-simplify]: Simplify (/ (* (sin x) (/ (tan (/ x 2)) x)) x) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 8.989 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 8.989 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 8.989 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 8.989 * [taylor]: Taking taylor expansion of (sin x) in x 8.989 * [taylor]: Taking taylor expansion of x in x 8.989 * [backup-simplify]: Simplify 0 into 0 8.989 * [backup-simplify]: Simplify 1 into 1 8.989 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 8.989 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 8.989 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 8.989 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.989 * [taylor]: Taking taylor expansion of 1/2 in x 8.989 * [backup-simplify]: Simplify 1/2 into 1/2 8.990 * [taylor]: Taking taylor expansion of x in x 8.990 * [backup-simplify]: Simplify 0 into 0 8.990 * [backup-simplify]: Simplify 1 into 1 8.990 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.991 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.991 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 8.991 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.991 * [taylor]: Taking taylor expansion of 1/2 in x 8.991 * [backup-simplify]: Simplify 1/2 into 1/2 8.991 * [taylor]: Taking taylor expansion of x in x 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [backup-simplify]: Simplify 1 into 1 8.991 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.992 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.993 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 8.993 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.993 * [taylor]: Taking taylor expansion of x in x 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify 1 into 1 8.994 * [backup-simplify]: Simplify (* 0 1/2) into 0 8.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.995 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.996 * [backup-simplify]: Simplify (+ 0) into 0 8.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.997 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.998 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 8.998 * [backup-simplify]: Simplify (* 1 1) into 1 8.999 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.999 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 8.999 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 8.999 * [taylor]: Taking taylor expansion of (sin x) in x 8.999 * [taylor]: Taking taylor expansion of x in x 8.999 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify 1 into 1 8.999 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 8.999 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 8.999 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 8.999 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.999 * [taylor]: Taking taylor expansion of 1/2 in x 8.999 * [backup-simplify]: Simplify 1/2 into 1/2 8.999 * [taylor]: Taking taylor expansion of x in x 8.999 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify 1 into 1 9.000 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.000 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.000 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 9.000 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 9.000 * [taylor]: Taking taylor expansion of 1/2 in x 9.000 * [backup-simplify]: Simplify 1/2 into 1/2 9.000 * [taylor]: Taking taylor expansion of x in x 9.000 * [backup-simplify]: Simplify 0 into 0 9.001 * [backup-simplify]: Simplify 1 into 1 9.001 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.002 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.002 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 9.003 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.003 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.003 * [taylor]: Taking taylor expansion of x in x 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify 1 into 1 9.003 * [backup-simplify]: Simplify (* 0 1/2) into 0 9.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.005 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.006 * [backup-simplify]: Simplify (+ 0) into 0 9.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 9.008 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 9.008 * [backup-simplify]: Simplify (* 1 1) into 1 9.009 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.009 * [backup-simplify]: Simplify 1/2 into 1/2 9.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.012 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 9.013 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 9.015 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 9.016 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.017 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 9.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.019 * [backup-simplify]: Simplify 0 into 0 9.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.022 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 9.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.025 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 9.028 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 9.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 9.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.032 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 9.032 * [backup-simplify]: Simplify -1/24 into -1/24 9.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.038 * [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 9.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.042 * [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 9.045 * [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 9.051 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 9.053 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 9.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 9.054 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.057 * [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 9.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.060 * [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 9.061 * [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 9.063 * [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 9.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 9.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.066 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 9.066 * [backup-simplify]: Simplify 1/720 into 1/720 9.067 * [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))) 9.067 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) (/ 1 x)) into (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) 9.067 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in (x) around 0 9.067 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in x 9.067 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 9.067 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 9.067 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 9.067 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.067 * [taylor]: Taking taylor expansion of 1/2 in x 9.067 * [backup-simplify]: Simplify 1/2 into 1/2 9.067 * [taylor]: Taking taylor expansion of x in x 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 1 into 1 9.068 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.068 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 9.068 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 9.068 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.068 * [taylor]: Taking taylor expansion of 1/2 in x 9.068 * [backup-simplify]: Simplify 1/2 into 1/2 9.068 * [taylor]: Taking taylor expansion of x in x 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 1 into 1 9.068 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.068 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 9.068 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 9.068 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (pow x 2)) in x 9.068 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 9.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.068 * [taylor]: Taking taylor expansion of x in x 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 1 into 1 9.069 * [backup-simplify]: Simplify (/ 1 1) into 1 9.069 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 9.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.069 * [taylor]: Taking taylor expansion of x in x 9.069 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify 1 into 1 9.069 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in x 9.069 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 9.069 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 9.069 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 9.069 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.069 * [taylor]: Taking taylor expansion of 1/2 in x 9.069 * [backup-simplify]: Simplify 1/2 into 1/2 9.069 * [taylor]: Taking taylor expansion of x in x 9.069 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify 1 into 1 9.069 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.069 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 9.069 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 9.069 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.069 * [taylor]: Taking taylor expansion of 1/2 in x 9.069 * [backup-simplify]: Simplify 1/2 into 1/2 9.069 * [taylor]: Taking taylor expansion of x in x 9.069 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify 1 into 1 9.070 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.070 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 9.070 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 9.070 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (pow x 2)) in x 9.070 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 9.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.070 * [taylor]: Taking taylor expansion of x in x 9.070 * [backup-simplify]: Simplify 0 into 0 9.070 * [backup-simplify]: Simplify 1 into 1 9.070 * [backup-simplify]: Simplify (/ 1 1) into 1 9.070 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 9.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.070 * [taylor]: Taking taylor expansion of x in x 9.070 * [backup-simplify]: Simplify 0 into 0 9.070 * [backup-simplify]: Simplify 1 into 1 9.070 * [backup-simplify]: Simplify (* 1 1) into 1 9.071 * [backup-simplify]: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) 9.071 * [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))) 9.071 * [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))) 9.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.071 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 9.072 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 9.072 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 9.072 * [backup-simplify]: Simplify 0 into 0 9.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.073 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 9.073 * [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 9.073 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 9.073 * [backup-simplify]: Simplify 0 into 0 9.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.074 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.075 * [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 9.075 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 9.075 * [backup-simplify]: Simplify 0 into 0 9.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.076 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.077 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 9.078 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 9.078 * [backup-simplify]: Simplify 0 into 0 9.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.079 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.079 * [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 9.080 * [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 9.080 * [backup-simplify]: Simplify 0 into 0 9.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.082 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.082 * [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 9.083 * [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 9.083 * [backup-simplify]: Simplify 0 into 0 9.084 * [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))) 9.084 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) (/ 1 (- x))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) 9.084 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 9.084 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 9.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.084 * [taylor]: Taking taylor expansion of x in x 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify 1 into 1 9.084 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 9.084 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 9.084 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 9.084 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 9.084 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.084 * [taylor]: Taking taylor expansion of -1/2 in x 9.084 * [backup-simplify]: Simplify -1/2 into -1/2 9.084 * [taylor]: Taking taylor expansion of x in x 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify 1 into 1 9.084 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.084 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 9.084 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 9.084 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.084 * [taylor]: Taking taylor expansion of -1/2 in x 9.084 * [backup-simplify]: Simplify -1/2 into -1/2 9.085 * [taylor]: Taking taylor expansion of x in x 9.085 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify 1 into 1 9.085 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.085 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 9.085 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 9.085 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 9.085 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.085 * [taylor]: Taking taylor expansion of -1 in x 9.085 * [backup-simplify]: Simplify -1 into -1 9.085 * [taylor]: Taking taylor expansion of x in x 9.085 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify 1 into 1 9.085 * [backup-simplify]: Simplify (/ -1 1) into -1 9.085 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 9.085 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 9.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.085 * [taylor]: Taking taylor expansion of x in x 9.085 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify 1 into 1 9.085 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 9.085 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 9.086 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 9.086 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 9.086 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.086 * [taylor]: Taking taylor expansion of -1/2 in x 9.086 * [backup-simplify]: Simplify -1/2 into -1/2 9.086 * [taylor]: Taking taylor expansion of x in x 9.086 * [backup-simplify]: Simplify 0 into 0 9.086 * [backup-simplify]: Simplify 1 into 1 9.086 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.086 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 9.086 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 9.086 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.086 * [taylor]: Taking taylor expansion of -1/2 in x 9.086 * [backup-simplify]: Simplify -1/2 into -1/2 9.086 * [taylor]: Taking taylor expansion of x in x 9.086 * [backup-simplify]: Simplify 0 into 0 9.086 * [backup-simplify]: Simplify 1 into 1 9.086 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.086 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 9.086 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 9.087 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 9.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.087 * [taylor]: Taking taylor expansion of -1 in x 9.087 * [backup-simplify]: Simplify -1 into -1 9.087 * [taylor]: Taking taylor expansion of x in x 9.087 * [backup-simplify]: Simplify 0 into 0 9.087 * [backup-simplify]: Simplify 1 into 1 9.087 * [backup-simplify]: Simplify (/ -1 1) into -1 9.087 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 9.087 * [backup-simplify]: Simplify (* 1 1) into 1 9.087 * [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))) 9.087 * [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))) 9.088 * [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))) 9.088 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 9.088 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 9.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 9.089 * [backup-simplify]: Simplify 0 into 0 9.089 * [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 9.089 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 9.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 9.090 * [backup-simplify]: Simplify 0 into 0 9.091 * [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 9.091 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 9.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 9.093 * [backup-simplify]: Simplify 0 into 0 9.093 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 9.094 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 9.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.096 * [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 9.096 * [backup-simplify]: Simplify 0 into 0 9.097 * [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 9.098 * [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 9.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.102 * [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 9.102 * [backup-simplify]: Simplify 0 into 0 9.102 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 9.104 * [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 9.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.108 * [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 9.108 * [backup-simplify]: Simplify 0 into 0 9.108 * [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))) 9.109 * * * [progress]: simplifying candidates 9.109 * * * * [progress]: [ 1 / 102 ] simplifiying candidate # 9.109 * * * * [progress]: [ 2 / 102 ] simplifiying candidate # 9.109 * * * * [progress]: [ 3 / 102 ] simplifiying candidate # 9.109 * * * * [progress]: [ 4 / 102 ] simplifiying candidate # 9.109 * * * * [progress]: [ 5 / 102 ] simplifiying candidate # 9.109 * * * * [progress]: [ 6 / 102 ] simplifiying candidate # 9.109 * * * * [progress]: [ 7 / 102 ] simplifiying candidate # 9.109 * * * * [progress]: [ 8 / 102 ] simplifiying candidate # 9.109 * * * * [progress]: [ 9 / 102 ] simplifiying candidate # 9.109 * * * * [progress]: [ 10 / 102 ] simplifiying candidate # 9.109 * * * * [progress]: [ 11 / 102 ] simplifiying candidate # 9.109 * * * * [progress]: [ 12 / 102 ] simplifiying candidate # 9.109 * * * * [progress]: [ 13 / 102 ] simplifiying candidate # 9.109 * * * * [progress]: [ 14 / 102 ] simplifiying candidate # 9.109 * * * * [progress]: [ 15 / 102 ] simplifiying candidate # 9.110 * * * * [progress]: [ 16 / 102 ] simplifiying candidate # 9.110 * * * * [progress]: [ 17 / 102 ] simplifiying candidate # 9.110 * * * * [progress]: [ 18 / 102 ] simplifiying candidate # 9.110 * * * * [progress]: [ 19 / 102 ] simplifiying candidate # 9.110 * * * * [progress]: [ 20 / 102 ] simplifiying candidate # 9.110 * * * * [progress]: [ 21 / 102 ] simplifiying candidate # 9.110 * * * * [progress]: [ 22 / 102 ] simplifiying candidate # 9.110 * * * * [progress]: [ 23 / 102 ] simplifiying candidate # 9.110 * * * * [progress]: [ 24 / 102 ] simplifiying candidate # 9.110 * * * * [progress]: [ 25 / 102 ] simplifiying candidate # 9.110 * * * * [progress]: [ 26 / 102 ] simplifiying candidate # 9.110 * * * * [progress]: [ 27 / 102 ] simplifiying candidate # 9.110 * * * * [progress]: [ 28 / 102 ] simplifiying candidate # 9.110 * * * * [progress]: [ 29 / 102 ] simplifiying candidate # 9.110 * * * * [progress]: [ 30 / 102 ] simplifiying candidate # 9.110 * * * * [progress]: [ 31 / 102 ] simplifiying candidate # 9.111 * * * * [progress]: [ 32 / 102 ] simplifiying candidate # 9.111 * * * * [progress]: [ 33 / 102 ] simplifiying candidate # 9.111 * * * * [progress]: [ 34 / 102 ] simplifiying candidate #real (real->posit16 (* (sin x) (/ (tan (/ x 2)) x)))) x))> 9.111 * * * * [progress]: [ 35 / 102 ] simplifiying candidate # 9.111 * * * * [progress]: [ 36 / 102 ] simplifiying candidate # 9.111 * * * * [progress]: [ 37 / 102 ] simplifiying candidate # 9.111 * * * * [progress]: [ 38 / 102 ] simplifiying candidate # 9.111 * * * * [progress]: [ 39 / 102 ] simplifiying candidate # 9.111 * * * * [progress]: [ 40 / 102 ] simplifiying candidate # 9.111 * * * * [progress]: [ 41 / 102 ] simplifiying candidate # 9.111 * * * * [progress]: [ 42 / 102 ] simplifiying candidate # 9.111 * * * * [progress]: [ 43 / 102 ] simplifiying candidate # 9.111 * * * * [progress]: [ 44 / 102 ] simplifiying candidate # 9.111 * * * * [progress]: [ 45 / 102 ] simplifiying candidate # 9.111 * * * * [progress]: [ 46 / 102 ] simplifiying candidate # 9.111 * * * * [progress]: [ 47 / 102 ] simplifiying candidate # 9.111 * * * * [progress]: [ 48 / 102 ] simplifiying candidate # 9.111 * * * * [progress]: [ 49 / 102 ] simplifiying candidate # 9.112 * * * * [progress]: [ 50 / 102 ] simplifiying candidate # 9.112 * * * * [progress]: [ 51 / 102 ] simplifiying candidate # 9.112 * * * * [progress]: [ 52 / 102 ] simplifiying candidate # 9.112 * * * * [progress]: [ 53 / 102 ] simplifiying candidate # 9.112 * * * * [progress]: [ 54 / 102 ] simplifiying candidate # 9.112 * * * * [progress]: [ 55 / 102 ] simplifiying candidate # 9.112 * * * * [progress]: [ 56 / 102 ] simplifiying candidate # 9.112 * * * * [progress]: [ 57 / 102 ] simplifiying candidate # 9.112 * * * * [progress]: [ 58 / 102 ] simplifiying candidate # 9.112 * * * * [progress]: [ 59 / 102 ] simplifiying candidate # 9.112 * * * * [progress]: [ 60 / 102 ] simplifiying candidate # 9.112 * * * * [progress]: [ 61 / 102 ] simplifiying candidate # 9.112 * * * * [progress]: [ 62 / 102 ] simplifiying candidate # 9.112 * * * * [progress]: [ 63 / 102 ] simplifiying candidate # 9.112 * * * * [progress]: [ 64 / 102 ] simplifiying candidate # 9.112 * * * * [progress]: [ 65 / 102 ] simplifiying candidate # 9.112 * * * * [progress]: [ 66 / 102 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))) x))> 9.113 * * * * [progress]: [ 67 / 102 ] simplifiying candidate # 9.113 * * * * [progress]: [ 68 / 102 ] simplifiying candidate # 9.113 * * * * [progress]: [ 69 / 102 ] simplifiying candidate # 9.113 * * * * [progress]: [ 70 / 102 ] simplifiying candidate # 9.113 * * * * [progress]: [ 71 / 102 ] simplifiying candidate # 9.113 * * * * [progress]: [ 72 / 102 ] simplifiying candidate # 9.113 * * * * [progress]: [ 73 / 102 ] simplifiying candidate # 9.113 * * * * [progress]: [ 74 / 102 ] simplifiying candidate # 9.113 * * * * [progress]: [ 75 / 102 ] simplifiying candidate # 9.113 * * * * [progress]: [ 76 / 102 ] simplifiying candidate # 9.113 * * * * [progress]: [ 77 / 102 ] simplifiying candidate # 9.113 * * * * [progress]: [ 78 / 102 ] simplifiying candidate # 9.113 * * * * [progress]: [ 79 / 102 ] simplifiying candidate # 9.113 * * * * [progress]: [ 80 / 102 ] simplifiying candidate # 9.113 * * * * [progress]: [ 81 / 102 ] simplifiying candidate # 9.113 * * * * [progress]: [ 82 / 102 ] simplifiying candidate # 9.113 * * * * [progress]: [ 83 / 102 ] simplifiying candidate # 9.113 * * * * [progress]: [ 84 / 102 ] simplifiying candidate # 9.114 * * * * [progress]: [ 85 / 102 ] simplifiying candidate # 9.114 * * * * [progress]: [ 86 / 102 ] simplifiying candidate # 9.114 * * * * [progress]: [ 87 / 102 ] simplifiying candidate # 9.114 * * * * [progress]: [ 88 / 102 ] simplifiying candidate # 9.114 * * * * [progress]: [ 89 / 102 ] simplifiying candidate # 9.114 * * * * [progress]: [ 90 / 102 ] simplifiying candidate # 9.114 * * * * [progress]: [ 91 / 102 ] simplifiying candidate # 9.114 * * * * [progress]: [ 92 / 102 ] simplifiying candidate # 9.114 * * * * [progress]: [ 93 / 102 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (/ (tan (/ x 2)) x)) x))))> 9.114 * * * * [progress]: [ 94 / 102 ] simplifiying candidate # 9.114 * * * * [progress]: [ 95 / 102 ] simplifiying candidate # 9.114 * * * * [progress]: [ 96 / 102 ] simplifiying candidate # 9.114 * * * * [progress]: [ 97 / 102 ] simplifiying candidate # 9.114 * * * * [progress]: [ 98 / 102 ] simplifiying candidate # 9.114 * * * * [progress]: [ 99 / 102 ] simplifiying candidate # 9.114 * * * * [progress]: [ 100 / 102 ] simplifiying candidate # 9.114 * * * * [progress]: [ 101 / 102 ] simplifiying candidate # 9.114 * * * * [progress]: [ 102 / 102 ] simplifiying candidate # 9.116 * [simplify]: Simplifying: (expm1 (* (sin x) (/ (tan (/ x 2)) x))) (log1p (* (sin x) (/ (tan (/ x 2)) x))) (* (sin x) (/ (tan (/ x 2)) x)) (+ (log (sin x)) (- (log (tan (/ x 2))) (log x))) (+ (log (sin x)) (log (/ (tan (/ x 2)) x))) (log (* (sin x) (/ (tan (/ x 2)) x))) (exp (* (sin x) (/ (tan (/ x 2)) x))) (* (* (* (sin x) (sin x)) (sin x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (cbrt (* (sin x) (/ (tan (/ x 2)) x))) (cbrt (* (sin x) (/ (tan (/ x 2)) x)))) (cbrt (* (sin x) (/ (tan (/ x 2)) x))) (* (* (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x))) (* (sin x) (/ (tan (/ x 2)) x))) (sqrt (* (sin x) (/ (tan (/ x 2)) x))) (sqrt (* (sin x) (/ (tan (/ x 2)) x))) (* (sqrt (sin x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (sin x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (sin x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sqrt (sin x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sin x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))) (* (sin x) (sqrt (/ (tan (/ x 2)) x))) (* (sin x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x)))) (* (sin x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))) (* (sin x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)) (* (sin x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))) (* (sin x) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sin x) (/ (sqrt (tan (/ x 2))) 1)) (* (sin x) (/ 1 (* (cbrt x) (cbrt x)))) (* (sin x) (/ 1 (sqrt x))) (* (sin x) (/ 1 1)) (* (sin x) 1) (* (sin x) (tan (/ x 2))) (* (cbrt (sin x)) (/ (tan (/ x 2)) x)) (* (sqrt (sin x)) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (tan (/ x 2))) (real->posit16 (* (sin x) (/ (tan (/ x 2)) x))) (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) (/ (tan (/ x 2)) x)) x)) (log1p (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (- (+ (log (sin x)) (- (log (tan (/ x 2))) (log x))) (log x)) (- (+ (log (sin x)) (log (/ (tan (/ x 2)) x))) (log x)) (- (log (* (sin x) (/ (tan (/ x 2)) x))) (log x)) (log (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (exp (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (/ (* (* (* (sin x) (sin x)) (sin x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (* x x) x)) (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (* x x) x)) (/ (* (* (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x))) (* (sin x) (/ (tan (/ x 2)) x))) (* (* x x) x)) (* (cbrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (cbrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x))) (cbrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (* (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (sqrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (sqrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (- (* (sin x) (/ (tan (/ x 2)) x))) (- x) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (/ (tan (/ x 2)) x) (cbrt x)) (/ (sin x) (sqrt x)) (/ (/ (tan (/ x 2)) x) (sqrt x)) (/ (sin x) 1) (/ (/ (tan (/ x 2)) x) x) (/ 1 x) (/ x (* (sin x) (/ (tan (/ x 2)) x))) (/ (* (sin x) (/ (tan (/ x 2)) x)) (* (cbrt x) (cbrt x))) (/ (* (sin x) (/ (tan (/ x 2)) x)) (sqrt x)) (/ (* (sin x) (/ (tan (/ x 2)) x)) 1) (/ x (/ (tan (/ x 2)) x)) (* x x) (real->posit16 (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) 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)) (- (+ (* 1/720 (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))) 9.119 * * [simplify]: iteration 0: 154 enodes 9.193 * * [simplify]: iteration 1: 374 enodes 9.389 * * [simplify]: iteration 2: 1337 enodes 10.229 * * [simplify]: iteration complete: 5000 enodes 10.229 * * [simplify]: Extracting #0: cost 85 inf + 0 10.240 * * [simplify]: Extracting #1: cost 947 inf + 1 10.249 * * [simplify]: Extracting #2: cost 1631 inf + 13391 10.274 * * [simplify]: Extracting #3: cost 992 inf + 187632 10.359 * * [simplify]: Extracting #4: cost 129 inf + 501491 10.470 * * [simplify]: Extracting #5: cost 3 inf + 546622 10.582 * * [simplify]: Extracting #6: cost 0 inf + 547381 10.717 * [simplify]: Simplified to: (expm1 (* (sin x) (/ (tan (/ x 2)) x))) (log1p (* (sin x) (/ (tan (/ x 2)) x))) (* (sin x) (/ (tan (/ x 2)) x)) (log (* (sin x) (/ (tan (/ x 2)) x))) (log (* (sin x) (/ (tan (/ x 2)) x))) (log (* (sin x) (/ (tan (/ x 2)) x))) (exp (* (sin x) (/ (tan (/ x 2)) x))) (* (* (sin x) (/ (tan (/ x 2)) x)) (* (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x)))) (* (* (sin x) (/ (tan (/ x 2)) x)) (* (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x)))) (* (cbrt (* (sin x) (/ (tan (/ x 2)) x))) (cbrt (* (sin x) (/ (tan (/ x 2)) x)))) (cbrt (* (sin x) (/ (tan (/ x 2)) x))) (* (* (sin x) (/ (tan (/ x 2)) x)) (* (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x)))) (sqrt (* (sin x) (/ (tan (/ x 2)) x))) (sqrt (* (sin x) (/ (tan (/ x 2)) x))) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (sin x))) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (sin x))) (/ (* (sqrt (tan (/ x 2))) (sqrt (sin x))) (sqrt x)) (/ (* (sqrt (tan (/ x 2))) (sqrt (sin x))) (sqrt x)) (* (cbrt (/ (tan (/ x 2)) x)) (* (sin x) (cbrt (/ (tan (/ x 2)) x)))) (* (sqrt (/ (tan (/ x 2)) x)) (sin x)) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (sin x))) (/ (* (cbrt (tan (/ x 2))) (sin x)) (/ (sqrt x) (cbrt (tan (/ x 2))))) (* (* (sin x) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))) (* (/ (sin x) (cbrt x)) (/ (sqrt (tan (/ x 2))) (cbrt x))) (/ (sin x) (/ (sqrt x) (sqrt (tan (/ x 2))))) (* (sin x) (sqrt (tan (/ x 2)))) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (sin x) (sin x) (* (sin x) (tan (/ x 2))) (/ (cbrt (sin x)) (/ x (tan (/ x 2)))) (* (sqrt (sin x)) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (tan (/ x 2))) (real->posit16 (* (sin x) (/ (tan (/ x 2)) x))) (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 (tan (/ x 2))) x))) (log1p (/ (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) (/ (tan (/ x 2)) x)) x) (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))) (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))) (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))) (* (cbrt (/ (sin x) (* (/ x (tan (/ x 2))) x))) (cbrt (/ (sin x) (* (/ x (tan (/ x 2))) x)))) (cbrt (/ (sin x) (* (/ x (tan (/ x 2))) x))) (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))) (sqrt (/ (sin x) (* (/ x (tan (/ x 2))) x))) (sqrt (/ (sin x) (* (/ x (tan (/ x 2))) x))) (/ (* (- (sin x)) (tan (/ x 2))) x) (- x) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (* x (cbrt x))) (/ (sin x) (sqrt x)) (/ (tan (/ x 2)) (* (sqrt x) x)) (sin x) (/ (/ (tan (/ x 2)) x) x) (/ 1 x) (/ (/ x (sin x)) (/ (tan (/ x 2)) x)) (/ (* (sin x) (/ (tan (/ x 2)) (* x (cbrt x)))) (cbrt x)) (/ (* (sin x) (/ (tan (/ x 2)) x)) (sqrt x)) (* (sin x) (/ (tan (/ x 2)) x)) (* (/ x (tan (/ x 2))) x) (* x x) (real->posit16 (/ (sin x) (* (/ x (tan (/ x 2))) x))) (fma (pow x 5) 1/720 (* x (- 1/2 (* (* 1/24 x) x)))) (/ (* (sin (* 1/2 x)) (sin x)) (* x (cos (* 1/2 x)))) (/ (* (sin (* 1/2 x)) (sin x)) (* x (cos (* 1/2 x)))) (fma 1/24 (* x x) (fma (* (* x x) (* x x)) 1/240 1/2)) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (fma (* x x) -1/24 (fma (* (* x x) (* x x)) 1/720 1/2)) (/ (* (sin (* 1/2 x)) (sin x)) (* x (* x (cos (* 1/2 x))))) (/ (* (sin (* 1/2 x)) (sin x)) (* x (* x (cos (* 1/2 x))))) 10.724 * * * [progress]: adding candidates to table 11.128 * [progress]: [Phase 3 of 3] Extracting. 11.128 * * [regime]: Finding splitpoints for: (# # # # # #) 11.130 * * * [regime-changes]: Trying 1 branch expressions: (x) 11.130 * * * * [regimes]: Trying to branch on x from (# # # # # #) 11.160 * * * [regime]: Found split indices: #