16.103 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.175 * * * [progress]: [2/2] Setting up program. 0.177 * [progress]: [Phase 2 of 3] Improving. 0.177 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.178 * [simplify]: Simplifying: (/ (- 1 (cos x)) (* x x)) 0.178 * * [simplify]: iteration 0: 6 enodes 0.179 * * [simplify]: iteration 1: 15 enodes 0.182 * * [simplify]: iteration 2: 23 enodes 0.185 * * [simplify]: iteration 3: 28 enodes 0.189 * * [simplify]: iteration 4: 30 enodes 0.192 * * [simplify]: iteration complete: 30 enodes 0.192 * * [simplify]: Extracting #0: cost 1 inf + 0 0.192 * * [simplify]: Extracting #1: cost 8 inf + 0 0.192 * * [simplify]: Extracting #2: cost 12 inf + 42 0.193 * * [simplify]: Extracting #3: cost 7 inf + 447 0.193 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.193 * [simplify]: Simplified to: (/ (- 1 (cos x)) (* x x)) 0.194 * * [progress]: iteration 1 / 4 0.194 * * * [progress]: picking best candidate 0.196 * * * * [pick]: Picked # 0.196 * * * [progress]: localizing error 0.219 * * * [progress]: generating rewritten candidates 0.219 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.245 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.261 * * * [progress]: generating series expansions 0.261 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.267 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2)) 0.267 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0 0.268 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.268 * [taylor]: Taking taylor expansion of 1 in x 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of (cos x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (- 1) into -1 0.270 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.271 * [backup-simplify]: Simplify (+ 0) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.274 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.274 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.275 * [backup-simplify]: Simplify (* 1 1) into 1 0.275 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.275 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.275 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.275 * [taylor]: Taking taylor expansion of 1 in x 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [taylor]: Taking taylor expansion of (cos x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (- 1) into -1 0.276 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.277 * [backup-simplify]: Simplify (+ 0) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.279 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.279 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.280 * [backup-simplify]: Simplify (* 1 1) into 1 0.280 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.281 * [backup-simplify]: Simplify 1/2 into 1/2 0.283 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.288 * [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 0.288 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.289 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.291 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.291 * [backup-simplify]: Simplify -1/24 into -1/24 0.293 * [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 0.294 * [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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.299 * [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 0.299 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.300 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.301 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.301 * [backup-simplify]: Simplify 1/720 into 1/720 0.302 * [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))) 0.302 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.302 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 0.302 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.302 * [taylor]: Taking taylor expansion of 1 in x 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.303 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.303 * [taylor]: Taking taylor expansion of 1 in x 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.304 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.304 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.304 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.304 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.317 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.317 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.317 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.317 * [taylor]: Taking taylor expansion of 1 in x 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.317 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.317 * [taylor]: Taking taylor expansion of -1 in x 0.317 * [backup-simplify]: Simplify -1 into -1 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ -1 1) into -1 0.318 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.318 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.318 * [taylor]: Taking taylor expansion of 1 in x 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.318 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.318 * [taylor]: Taking taylor expansion of -1 in x 0.318 * [backup-simplify]: Simplify -1 into -1 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ -1 1) into -1 0.318 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.319 * [backup-simplify]: Simplify (* 1 1) into 1 0.319 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.319 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.319 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.319 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.337 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.338 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.338 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.338 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.338 * [taylor]: Taking taylor expansion of 1 in x 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of (cos x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.338 * [taylor]: Taking taylor expansion of 1 in x 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of (cos x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (- 1) into -1 0.339 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (+ 0) into 0 0.340 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.341 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.342 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.342 * [backup-simplify]: Simplify 1/2 into 1/2 0.343 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.346 * [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 0.346 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.347 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.347 * [backup-simplify]: Simplify -1/24 into -1/24 0.348 * [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 0.349 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.352 * [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 0.352 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.352 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.352 * [backup-simplify]: Simplify 1/720 into 1/720 0.353 * [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))) 0.353 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.353 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.353 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.353 * [taylor]: Taking taylor expansion of 1 in x 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.353 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.353 * [taylor]: Taking taylor expansion of 1 in x 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.354 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.354 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.354 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.354 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.357 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.357 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.357 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.357 * [taylor]: Taking taylor expansion of 1 in x 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.357 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.357 * [taylor]: Taking taylor expansion of -1 in x 0.358 * [backup-simplify]: Simplify -1 into -1 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (/ -1 1) into -1 0.358 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.358 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.358 * [taylor]: Taking taylor expansion of 1 in x 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.358 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.358 * [taylor]: Taking taylor expansion of -1 in x 0.358 * [backup-simplify]: Simplify -1 into -1 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (/ -1 1) into -1 0.358 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.358 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.359 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.359 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.362 * * * [progress]: simplifying candidates 0.362 * * * * [progress]: [ 1 / 69 ] simplifiying candidate # 0.362 * * * * [progress]: [ 2 / 69 ] simplifiying candidate # 0.362 * * * * [progress]: [ 3 / 69 ] simplifiying candidate # 0.362 * * * * [progress]: [ 4 / 69 ] simplifiying candidate # 0.362 * * * * [progress]: [ 5 / 69 ] simplifiying candidate # 0.362 * * * * [progress]: [ 6 / 69 ] simplifiying candidate # 0.362 * * * * [progress]: [ 7 / 69 ] simplifiying candidate # 0.362 * * * * [progress]: [ 8 / 69 ] simplifiying candidate # 0.362 * * * * [progress]: [ 9 / 69 ] simplifiying candidate # 0.362 * * * * [progress]: [ 10 / 69 ] simplifiying candidate # 0.362 * * * * [progress]: [ 11 / 69 ] simplifiying candidate # 0.362 * * * * [progress]: [ 12 / 69 ] simplifiying candidate # 0.362 * * * * [progress]: [ 13 / 69 ] simplifiying candidate # 0.362 * * * * [progress]: [ 14 / 69 ] simplifiying candidate # 0.362 * * * * [progress]: [ 15 / 69 ] simplifiying candidate # 0.362 * * * * [progress]: [ 16 / 69 ] simplifiying candidate # 0.362 * * * * [progress]: [ 17 / 69 ] simplifiying candidate # 0.362 * * * * [progress]: [ 18 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 19 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 20 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 21 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 22 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 23 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 24 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 25 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 26 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 27 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 28 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 29 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 30 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 31 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 32 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.363 * * * * [progress]: [ 34 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 35 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 36 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 37 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 38 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 39 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 40 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 41 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 42 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 43 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 44 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 45 / 69 ] simplifiying candidate # 0.363 * * * * [progress]: [ 46 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 47 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 48 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 49 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 50 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 51 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 52 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 53 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 54 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 55 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 56 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 57 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 58 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 59 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 60 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 61 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 62 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.364 * * * * [progress]: [ 64 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 65 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 66 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 67 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 68 / 69 ] simplifiying candidate # 0.364 * * * * [progress]: [ 69 / 69 ] simplifiying candidate # 0.365 * [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)) 0.367 * * [simplify]: iteration 0: 121 enodes 0.421 * * [simplify]: iteration 1: 295 enodes 0.599 * * [simplify]: iteration 2: 867 enodes 0.835 * * [simplify]: iteration 3: 2048 enodes 1.194 * * [simplify]: iteration complete: 2048 enodes 1.195 * * [simplify]: Extracting #0: cost 48 inf + 0 1.195 * * [simplify]: Extracting #1: cost 408 inf + 0 1.198 * * [simplify]: Extracting #2: cost 666 inf + 12127 1.210 * * [simplify]: Extracting #3: cost 302 inf + 94686 1.237 * * [simplify]: Extracting #4: cost 3 inf + 155448 1.261 * * [simplify]: Extracting #5: cost 0 inf + 155765 1.304 * * [simplify]: Extracting #6: cost 0 inf + 155365 1.351 * [simplify]: Simplified to: (expm1 (/ (- 1 (cos x)) (* x x))) (log1p (/ (- 1 (cos x)) (* x x))) (log (/ (- 1 (cos x)) (* x x))) (log (/ (- 1 (cos x)) (* x x))) (log (/ (- 1 (cos x)) (* x x))) (exp (/ (- 1 (cos x)) (* x x))) (* (/ (- 1 (cos x)) (* x x)) (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)))) (* (/ (- 1 (cos x)) (* x x)) (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)))) (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x))) (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (- (- 1 (cos x))) (- (* x x)) (/ 1 (* x x)) (/ (/ (cos x) x) x) (/ (cbrt (- 1 (cos x))) (/ x (cbrt (- 1 (cos x))))) (/ (cbrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x) (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ 1 (* x x)) (/ x (/ (- 1 (cos x)) x)) (/ (- 1 (cos x)) x) (/ (* x x) (cbrt (- 1 (cos x)))) (/ (* x x) (sqrt (- 1 (cos x)))) (/ x (/ (- 1 (cos x)) x)) (* (/ x (- 1 (sqrt (cos x)))) x) (* (/ x (- 1 (sqrt (cos x)))) x) (/ x (/ (- 1 (cos x)) x)) (fma (fma (cos x) (cos x) (cos x)) (* x x) (* x x)) (fma (* x x) (cos x) (* x x)) (real->posit16 (/ (- 1 (cos x)) (* x x))) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1 (cos x))) (log (- 1 (cos x))) (exp (- 1 (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (- 1 (cos x)) (* (- 1 (cos x)) (- 1 (cos x)))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- 1 (* (cos x) (* (cos x) (cos x)))) (+ (cos x) (fma (cos x) (cos x) 1)) (- (cos x)) (* (sin x) (sin x)) (+ (cos x) 1) (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x))) (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (real->posit16 (- 1 (cos x))) (fma -1/24 (* x x) (fma (* 1/720 (* x x)) (* x x) 1/2)) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (fma (* x x) 1/2 (fma (* (* x x) (* (* x x) (* x x))) 1/720 (* (* (* x x) (* x x)) -1/24))) (- 1 (cos x)) (- 1 (cos x)) 1.356 * * * [progress]: adding candidates to table 1.560 * * [progress]: iteration 2 / 4 1.561 * * * [progress]: picking best candidate 1.577 * * * * [pick]: Picked # 1.577 * * * [progress]: localizing error 1.601 * * * [progress]: generating rewritten candidates 1.601 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.645 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.655 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.668 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.686 * * * [progress]: generating series expansions 1.686 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.686 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 1.686 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 1.686 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 1.686 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.686 * [taylor]: Taking taylor expansion of (sin x) in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.687 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.688 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 1.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.688 * [taylor]: Taking taylor expansion of (cos x) in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [taylor]: Taking taylor expansion of 1 in x 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (* 1 1) into 1 1.688 * [backup-simplify]: Simplify (* 1 1) into 1 1.689 * [backup-simplify]: Simplify (+ 1 1) into 2 1.689 * [backup-simplify]: Simplify (* 1 2) into 2 1.689 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.689 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 1.689 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.689 * [taylor]: Taking taylor expansion of (sin x) in x 1.689 * [taylor]: Taking taylor expansion of x in x 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.690 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 1.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.690 * [taylor]: Taking taylor expansion of (cos x) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [taylor]: Taking taylor expansion of 1 in x 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (* 1 1) into 1 1.690 * [backup-simplify]: Simplify (* 1 1) into 1 1.691 * [backup-simplify]: Simplify (+ 1 1) into 2 1.691 * [backup-simplify]: Simplify (* 1 2) into 2 1.691 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.691 * [backup-simplify]: Simplify 1/2 into 1/2 1.692 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.693 * [backup-simplify]: Simplify (+ 0) into 0 1.693 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 1.694 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 1.694 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.696 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.697 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.697 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.698 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 1.699 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 1.699 * [backup-simplify]: Simplify -1/24 into -1/24 1.700 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.702 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.702 * [backup-simplify]: Simplify (+ 0 0) into 0 1.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 1.705 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 1.705 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 1.709 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.711 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.711 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.713 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 1.714 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 1.714 * [backup-simplify]: Simplify 1/720 into 1/720 1.714 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 1.715 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) 1.715 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 1.715 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 1.715 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 1.715 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.715 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [backup-simplify]: Simplify (/ 1 1) into 1 1.715 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.715 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (/ 1 1) into 1 1.716 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.716 * [taylor]: Taking taylor expansion of 1 in x 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.716 * [backup-simplify]: Simplify (* 1 1) into 1 1.716 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 1.716 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.716 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.716 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 1.716 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 1.716 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.716 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.716 * [taylor]: Taking taylor expansion of x in x 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.717 * [backup-simplify]: Simplify (/ 1 1) into 1 1.717 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.717 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.717 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [backup-simplify]: Simplify (/ 1 1) into 1 1.717 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.717 * [taylor]: Taking taylor expansion of 1 in x 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.718 * [backup-simplify]: Simplify (* 1 1) into 1 1.718 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 1.718 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.718 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.718 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.718 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 1.719 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 1.719 * [backup-simplify]: Simplify (+ 0 0) into 0 1.719 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.720 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 1.721 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.721 * [backup-simplify]: Simplify (+ 0 0) into 0 1.721 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 1.729 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.729 * [backup-simplify]: Simplify (+ 0 0) into 0 1.730 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.730 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.732 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 1.732 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.733 * [backup-simplify]: Simplify (+ 0 0) into 0 1.733 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.735 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 1.737 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.737 * [backup-simplify]: Simplify (+ 0 0) into 0 1.738 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.738 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.742 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 1.743 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.744 * [backup-simplify]: Simplify (+ 0 0) into 0 1.745 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 1.745 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) 1.745 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 1.745 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 1.745 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 1.746 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.746 * [taylor]: Taking taylor expansion of x in x 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 1 into 1 1.746 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.746 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.746 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.746 * [taylor]: Taking taylor expansion of -1 in x 1.746 * [backup-simplify]: Simplify -1 into -1 1.746 * [taylor]: Taking taylor expansion of x in x 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 1 into 1 1.747 * [backup-simplify]: Simplify (/ -1 1) into -1 1.747 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.747 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.747 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.747 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.747 * [taylor]: Taking taylor expansion of -1 in x 1.747 * [backup-simplify]: Simplify -1 into -1 1.747 * [taylor]: Taking taylor expansion of x in x 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.747 * [backup-simplify]: Simplify (/ -1 1) into -1 1.747 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.747 * [taylor]: Taking taylor expansion of 1 in x 1.748 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (* 1 1) into 1 1.748 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.748 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 1.748 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.748 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.749 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 1.749 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 1.749 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.749 * [taylor]: Taking taylor expansion of x in x 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.749 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.749 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.749 * [taylor]: Taking taylor expansion of -1 in x 1.749 * [backup-simplify]: Simplify -1 into -1 1.749 * [taylor]: Taking taylor expansion of x in x 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [backup-simplify]: Simplify (/ -1 1) into -1 1.750 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.750 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.750 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.750 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.750 * [taylor]: Taking taylor expansion of -1 in x 1.750 * [backup-simplify]: Simplify -1 into -1 1.750 * [taylor]: Taking taylor expansion of x in x 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (/ -1 1) into -1 1.750 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.750 * [taylor]: Taking taylor expansion of 1 in x 1.750 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (* 1 1) into 1 1.751 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.751 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 1.751 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.751 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.751 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.752 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 1.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 1.753 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 1.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 1.756 * [backup-simplify]: Simplify (+ 0 0) into 0 1.757 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 1.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 1.760 * [backup-simplify]: Simplify (+ 0 0) into 0 1.760 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 1.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 1.765 * [backup-simplify]: Simplify (+ 0 0) into 0 1.766 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 1.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 1.771 * [backup-simplify]: Simplify (+ 0 0) into 0 1.772 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.772 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 1.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 1.778 * [backup-simplify]: Simplify (+ 0 0) into 0 1.779 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 1.780 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.780 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 1.780 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 1.780 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.780 * [taylor]: Taking taylor expansion of (cos x) in x 1.780 * [taylor]: Taking taylor expansion of x in x 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 1 into 1 1.780 * [taylor]: Taking taylor expansion of 1 in x 1.780 * [backup-simplify]: Simplify 1 into 1 1.780 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.780 * [taylor]: Taking taylor expansion of (cos x) in x 1.780 * [taylor]: Taking taylor expansion of x in x 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 1 into 1 1.780 * [taylor]: Taking taylor expansion of 1 in x 1.780 * [backup-simplify]: Simplify 1 into 1 1.781 * [backup-simplify]: Simplify (+ 1 1) into 2 1.781 * [backup-simplify]: Simplify 2 into 2 1.781 * [backup-simplify]: Simplify (+ 0) into 0 1.782 * [backup-simplify]: Simplify (+ 0 0) into 0 1.782 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.784 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.784 * [backup-simplify]: Simplify -1/2 into -1/2 1.785 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.786 * [backup-simplify]: Simplify (+ 0 0) into 0 1.786 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.789 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.789 * [backup-simplify]: Simplify 1/24 into 1/24 1.790 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2)) into (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) 1.790 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 1.790 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 1.790 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.790 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.790 * [taylor]: Taking taylor expansion of x in x 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.791 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.791 * [taylor]: Taking taylor expansion of 1 in x 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.791 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.791 * [taylor]: Taking taylor expansion of x in x 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.791 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.791 * [taylor]: Taking taylor expansion of 1 in x 1.792 * [backup-simplify]: Simplify 1 into 1 1.792 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.792 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.792 * [backup-simplify]: Simplify (+ 0 0) into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.793 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify (+ 0 0) into 0 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify (+ 0 0) into 0 1.794 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify (+ 0 0) into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 1.795 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 1.795 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 1.795 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.795 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.795 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.795 * [taylor]: Taking taylor expansion of -1 in x 1.795 * [backup-simplify]: Simplify -1 into -1 1.795 * [taylor]: Taking taylor expansion of x in x 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (/ -1 1) into -1 1.796 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.796 * [taylor]: Taking taylor expansion of 1 in x 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.796 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.796 * [taylor]: Taking taylor expansion of -1 in x 1.796 * [backup-simplify]: Simplify -1 into -1 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.797 * [backup-simplify]: Simplify (/ -1 1) into -1 1.797 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.797 * [taylor]: Taking taylor expansion of 1 in x 1.797 * [backup-simplify]: Simplify 1 into 1 1.797 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.797 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.797 * [backup-simplify]: Simplify (+ 0 0) into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify (+ 0 0) into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify (+ 0 0) into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify (+ 0 0) into 0 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 1.800 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.800 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 1.800 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 1.800 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.800 * [taylor]: Taking taylor expansion of (sin x) in x 1.800 * [taylor]: Taking taylor expansion of x in x 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 1 into 1 1.801 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.801 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.801 * [taylor]: Taking taylor expansion of (sin x) in x 1.801 * [taylor]: Taking taylor expansion of x in x 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.802 * [backup-simplify]: Simplify (* 1 1) into 1 1.802 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.804 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.807 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.807 * [backup-simplify]: Simplify -1/3 into -1/3 1.809 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.811 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 1.818 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.818 * [backup-simplify]: Simplify 2/45 into 2/45 1.818 * [backup-simplify]: Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (pow x 2)))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) 1.819 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.819 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 1.819 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.819 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.819 * [taylor]: Taking taylor expansion of x in x 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [backup-simplify]: Simplify (/ 1 1) into 1 1.819 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.819 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.819 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.819 * [taylor]: Taking taylor expansion of x in x 1.819 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 1 into 1 1.820 * [backup-simplify]: Simplify (/ 1 1) into 1 1.820 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.820 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.820 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 1.820 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 1.821 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 1.822 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 1.824 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 1.825 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 1.828 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 1.828 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 1.828 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.828 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.828 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.828 * [taylor]: Taking taylor expansion of -1 in x 1.828 * [backup-simplify]: Simplify -1 into -1 1.828 * [taylor]: Taking taylor expansion of x in x 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.829 * [backup-simplify]: Simplify (/ -1 1) into -1 1.829 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.829 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.829 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.829 * [taylor]: Taking taylor expansion of -1 in x 1.829 * [backup-simplify]: Simplify -1 into -1 1.829 * [taylor]: Taking taylor expansion of x in x 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 1 into 1 1.829 * [backup-simplify]: Simplify (/ -1 1) into -1 1.829 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.830 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.830 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 1.830 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 1.830 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 1.831 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 1.834 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 1.836 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.837 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 1.837 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 1.837 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 1.837 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.837 * [taylor]: Taking taylor expansion of (sin x) in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.838 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.838 * [taylor]: Taking taylor expansion of (cos x) in x 1.838 * [taylor]: Taking taylor expansion of x in x 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [taylor]: Taking taylor expansion of 1 in x 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [backup-simplify]: Simplify (* 1 1) into 1 1.839 * [backup-simplify]: Simplify (+ 1 1) into 2 1.839 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.839 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 1.839 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.839 * [taylor]: Taking taylor expansion of (sin x) in x 1.839 * [taylor]: Taking taylor expansion of x in x 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.840 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.840 * [taylor]: Taking taylor expansion of (cos x) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [taylor]: Taking taylor expansion of 1 in x 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [backup-simplify]: Simplify (* 1 1) into 1 1.841 * [backup-simplify]: Simplify (+ 1 1) into 2 1.841 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.841 * [backup-simplify]: Simplify 1/2 into 1/2 1.842 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.843 * [backup-simplify]: Simplify (+ 0) into 0 1.844 * [backup-simplify]: Simplify (+ 0 0) into 0 1.845 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.847 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.848 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.849 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.850 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 1.850 * [backup-simplify]: Simplify -1/24 into -1/24 1.852 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.854 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 1.854 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 1.857 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.859 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.859 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.860 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 1.860 * [backup-simplify]: Simplify 1/720 into 1/720 1.861 * [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))) 1.861 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.861 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 1.861 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 1.861 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.861 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.861 * [backup-simplify]: Simplify (/ 1 1) into 1 1.861 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.861 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.861 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (/ 1 1) into 1 1.862 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.862 * [taylor]: Taking taylor expansion of 1 in x 1.862 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.862 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.862 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.862 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 1.862 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.862 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (/ 1 1) into 1 1.862 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.862 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.862 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.863 * [backup-simplify]: Simplify (/ 1 1) into 1 1.863 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.863 * [taylor]: Taking taylor expansion of 1 in x 1.863 * [backup-simplify]: Simplify 1 into 1 1.863 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.863 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.863 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.863 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.863 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.864 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.865 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.866 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 1.871 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.871 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 1.872 * [backup-simplify]: Simplify (+ 0 0) into 0 1.873 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.873 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.875 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 1.875 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.875 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 1.875 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 1.875 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.875 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.875 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.875 * [taylor]: Taking taylor expansion of -1 in x 1.875 * [backup-simplify]: Simplify -1 into -1 1.875 * [taylor]: Taking taylor expansion of x in x 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.876 * [backup-simplify]: Simplify (/ -1 1) into -1 1.876 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.876 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.876 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.876 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.876 * [taylor]: Taking taylor expansion of -1 in x 1.876 * [backup-simplify]: Simplify -1 into -1 1.876 * [taylor]: Taking taylor expansion of x in x 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [backup-simplify]: Simplify (/ -1 1) into -1 1.876 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.876 * [taylor]: Taking taylor expansion of 1 in x 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.876 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.877 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.877 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 1.877 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.877 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.877 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.877 * [taylor]: Taking taylor expansion of -1 in x 1.877 * [backup-simplify]: Simplify -1 into -1 1.877 * [taylor]: Taking taylor expansion of x in x 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (/ -1 1) into -1 1.877 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.877 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.877 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.877 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.877 * [taylor]: Taking taylor expansion of -1 in x 1.877 * [backup-simplify]: Simplify -1 into -1 1.877 * [taylor]: Taking taylor expansion of x in x 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (/ -1 1) into -1 1.877 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.878 * [taylor]: Taking taylor expansion of 1 in x 1.878 * [backup-simplify]: Simplify 1 into 1 1.878 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.878 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.878 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.878 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.878 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 1.878 * [backup-simplify]: Simplify (+ 0 0) into 0 1.878 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 1.879 * [backup-simplify]: Simplify (+ 0 0) into 0 1.879 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.879 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 1.881 * [backup-simplify]: Simplify (+ 0 0) into 0 1.881 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 1.883 * [backup-simplify]: Simplify (+ 0 0) into 0 1.884 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 1.886 * [backup-simplify]: Simplify (+ 0 0) into 0 1.887 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 1.889 * [backup-simplify]: Simplify (+ 0 0) into 0 1.890 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 1.890 * * * [progress]: simplifying candidates 1.890 * * * * [progress]: [ 1 / 138 ] simplifiying candidate # 1.890 * * * * [progress]: [ 2 / 138 ] simplifiying candidate # 1.891 * * * * [progress]: [ 3 / 138 ] simplifiying candidate # 1.891 * * * * [progress]: [ 4 / 138 ] simplifiying candidate # 1.891 * * * * [progress]: [ 5 / 138 ] simplifiying candidate # 1.891 * * * * [progress]: [ 6 / 138 ] simplifiying candidate # 1.891 * * * * [progress]: [ 7 / 138 ] simplifiying candidate # 1.891 * * * * [progress]: [ 8 / 138 ] simplifiying candidate # 1.891 * * * * [progress]: [ 9 / 138 ] simplifiying candidate # 1.891 * * * * [progress]: [ 10 / 138 ] simplifiying candidate # 1.891 * * * * [progress]: [ 11 / 138 ] simplifiying candidate # 1.891 * * * * [progress]: [ 12 / 138 ] simplifiying candidate # 1.891 * * * * [progress]: [ 13 / 138 ] simplifiying candidate # 1.891 * * * * [progress]: [ 14 / 138 ] simplifiying candidate # 1.891 * * * * [progress]: [ 15 / 138 ] simplifiying candidate # 1.892 * * * * [progress]: [ 16 / 138 ] simplifiying candidate # 1.892 * * * * [progress]: [ 17 / 138 ] simplifiying candidate # 1.892 * * * * [progress]: [ 18 / 138 ] simplifiying candidate # 1.892 * * * * [progress]: [ 19 / 138 ] simplifiying candidate # 1.892 * * * * [progress]: [ 20 / 138 ] simplifiying candidate # 1.892 * * * * [progress]: [ 21 / 138 ] simplifiying candidate # 1.892 * * * * [progress]: [ 22 / 138 ] simplifiying candidate # 1.892 * * * * [progress]: [ 23 / 138 ] simplifiying candidate # 1.892 * * * * [progress]: [ 24 / 138 ] simplifiying candidate # 1.892 * * * * [progress]: [ 25 / 138 ] simplifiying candidate # 1.892 * * * * [progress]: [ 26 / 138 ] simplifiying candidate # 1.892 * * * * [progress]: [ 27 / 138 ] simplifiying candidate # 1.892 * * * * [progress]: [ 28 / 138 ] simplifiying candidate # 1.892 * * * * [progress]: [ 29 / 138 ] simplifiying candidate # 1.892 * * * * [progress]: [ 30 / 138 ] simplifiying candidate # 1.893 * * * * [progress]: [ 31 / 138 ] simplifiying candidate # 1.893 * * * * [progress]: [ 32 / 138 ] simplifiying candidate # 1.893 * * * * [progress]: [ 33 / 138 ] simplifiying candidate # 1.893 * * * * [progress]: [ 34 / 138 ] simplifiying candidate # 1.893 * * * * [progress]: [ 35 / 138 ] simplifiying candidate # 1.893 * * * * [progress]: [ 36 / 138 ] simplifiying candidate # 1.893 * * * * [progress]: [ 37 / 138 ] simplifiying candidate # 1.893 * * * * [progress]: [ 38 / 138 ] simplifiying candidate # 1.893 * * * * [progress]: [ 39 / 138 ] simplifiying candidate # 1.893 * * * * [progress]: [ 40 / 138 ] simplifiying candidate # 1.893 * * * * [progress]: [ 41 / 138 ] simplifiying candidate # 1.893 * * * * [progress]: [ 42 / 138 ] simplifiying candidate # 1.893 * * * * [progress]: [ 43 / 138 ] simplifiying candidate # 1.893 * * * * [progress]: [ 44 / 138 ] simplifiying candidate # 1.893 * * * * [progress]: [ 45 / 138 ] simplifiying candidate # 1.894 * * * * [progress]: [ 46 / 138 ] simplifiying candidate # 1.894 * * * * [progress]: [ 47 / 138 ] simplifiying candidate # 1.894 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 1.894 * * * * [progress]: [ 49 / 138 ] simplifiying candidate # 1.894 * * * * [progress]: [ 50 / 138 ] simplifiying candidate # 1.894 * * * * [progress]: [ 51 / 138 ] simplifiying candidate # 1.894 * * * * [progress]: [ 52 / 138 ] simplifiying candidate # 1.894 * * * * [progress]: [ 53 / 138 ] simplifiying candidate # 1.894 * * * * [progress]: [ 54 / 138 ] simplifiying candidate # 1.894 * * * * [progress]: [ 55 / 138 ] simplifiying candidate # 1.894 * * * * [progress]: [ 56 / 138 ] simplifiying candidate # 1.894 * * * * [progress]: [ 57 / 138 ] simplifiying candidate # 1.894 * * * * [progress]: [ 58 / 138 ] simplifiying candidate # 1.894 * * * * [progress]: [ 59 / 138 ] simplifiying candidate # 1.894 * * * * [progress]: [ 60 / 138 ] simplifiying candidate # 1.895 * * * * [progress]: [ 61 / 138 ] simplifiying candidate # 1.895 * * * * [progress]: [ 62 / 138 ] simplifiying candidate # 1.895 * * * * [progress]: [ 63 / 138 ] simplifiying candidate # 1.895 * * * * [progress]: [ 64 / 138 ] simplifiying candidate # 1.895 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 1.895 * * * * [progress]: [ 66 / 138 ] simplifiying candidate # 1.895 * * * * [progress]: [ 67 / 138 ] simplifiying candidate # 1.895 * * * * [progress]: [ 68 / 138 ] simplifiying candidate # 1.895 * * * * [progress]: [ 69 / 138 ] simplifiying candidate # 1.895 * * * * [progress]: [ 70 / 138 ] simplifiying candidate # 1.895 * * * * [progress]: [ 71 / 138 ] simplifiying candidate # 1.895 * * * * [progress]: [ 72 / 138 ] simplifiying candidate # 1.895 * * * * [progress]: [ 73 / 138 ] simplifiying candidate # 1.895 * * * * [progress]: [ 74 / 138 ] simplifiying candidate # 1.895 * * * * [progress]: [ 75 / 138 ] simplifiying candidate # 1.896 * * * * [progress]: [ 76 / 138 ] simplifiying candidate # 1.896 * * * * [progress]: [ 77 / 138 ] simplifiying candidate # 1.896 * * * * [progress]: [ 78 / 138 ] simplifiying candidate # 1.896 * * * * [progress]: [ 79 / 138 ] simplifiying candidate # 1.896 * * * * [progress]: [ 80 / 138 ] simplifiying candidate # 1.896 * * * * [progress]: [ 81 / 138 ] simplifiying candidate # 1.896 * * * * [progress]: [ 82 / 138 ] simplifiying candidate # 1.896 * * * * [progress]: [ 83 / 138 ] simplifiying candidate # 1.896 * * * * [progress]: [ 84 / 138 ] simplifiying candidate # 1.896 * * * * [progress]: [ 85 / 138 ] simplifiying candidate # 1.896 * * * * [progress]: [ 86 / 138 ] simplifiying candidate # 1.896 * * * * [progress]: [ 87 / 138 ] simplifiying candidate # 1.896 * * * * [progress]: [ 88 / 138 ] simplifiying candidate # 1.896 * * * * [progress]: [ 89 / 138 ] simplifiying candidate # 1.896 * * * * [progress]: [ 90 / 138 ] simplifiying candidate # 1.897 * * * * [progress]: [ 91 / 138 ] simplifiying candidate # 1.897 * * * * [progress]: [ 92 / 138 ] simplifiying candidate # 1.897 * * * * [progress]: [ 93 / 138 ] simplifiying candidate # 1.897 * * * * [progress]: [ 94 / 138 ] simplifiying candidate # 1.897 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 1.897 * * * * [progress]: [ 96 / 138 ] simplifiying candidate # 1.897 * * * * [progress]: [ 97 / 138 ] simplifiying candidate # 1.897 * * * * [progress]: [ 98 / 138 ] simplifiying candidate # 1.897 * * * * [progress]: [ 99 / 138 ] simplifiying candidate # 1.897 * * * * [progress]: [ 100 / 138 ] simplifiying candidate # 1.897 * * * * [progress]: [ 101 / 138 ] simplifiying candidate # 1.897 * * * * [progress]: [ 102 / 138 ] simplifiying candidate # 1.897 * * * * [progress]: [ 103 / 138 ] simplifiying candidate # 1.897 * * * * [progress]: [ 104 / 138 ] simplifiying candidate # 1.897 * * * * [progress]: [ 105 / 138 ] simplifiying candidate # 1.898 * * * * [progress]: [ 106 / 138 ] simplifiying candidate # 1.898 * * * * [progress]: [ 107 / 138 ] simplifiying candidate # 1.898 * * * * [progress]: [ 108 / 138 ] simplifiying candidate # 1.898 * * * * [progress]: [ 109 / 138 ] simplifiying candidate # 1.898 * * * * [progress]: [ 110 / 138 ] simplifiying candidate # 1.898 * * * * [progress]: [ 111 / 138 ] simplifiying candidate # 1.898 * * * * [progress]: [ 112 / 138 ] simplifiying candidate # 1.898 * * * * [progress]: [ 113 / 138 ] simplifiying candidate # 1.898 * * * * [progress]: [ 114 / 138 ] simplifiying candidate # 1.898 * * * * [progress]: [ 115 / 138 ] simplifiying candidate # 1.898 * * * * [progress]: [ 116 / 138 ] simplifiying candidate # 1.898 * * * * [progress]: [ 117 / 138 ] simplifiying candidate # 1.898 * * * * [progress]: [ 118 / 138 ] simplifiying candidate # 1.898 * * * * [progress]: [ 119 / 138 ] simplifiying candidate # 1.898 * * * * [progress]: [ 120 / 138 ] simplifiying candidate # 1.899 * * * * [progress]: [ 121 / 138 ] simplifiying candidate # 1.899 * * * * [progress]: [ 122 / 138 ] simplifiying candidate # 1.899 * * * * [progress]: [ 123 / 138 ] simplifiying candidate # 1.899 * * * * [progress]: [ 124 / 138 ] simplifiying candidate # 1.899 * * * * [progress]: [ 125 / 138 ] simplifiying candidate # 1.899 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 1.899 * * * * [progress]: [ 127 / 138 ] simplifiying candidate # 1.899 * * * * [progress]: [ 128 / 138 ] simplifiying candidate # 1.899 * * * * [progress]: [ 129 / 138 ] simplifiying candidate # 1.899 * * * * [progress]: [ 130 / 138 ] simplifiying candidate # 1.899 * * * * [progress]: [ 131 / 138 ] simplifiying candidate # 1.899 * * * * [progress]: [ 132 / 138 ] simplifiying candidate # 1.899 * * * * [progress]: [ 133 / 138 ] simplifiying candidate # 1.899 * * * * [progress]: [ 134 / 138 ] simplifiying candidate # 1.899 * * * * [progress]: [ 135 / 138 ] simplifiying candidate # 1.899 * * * * [progress]: [ 136 / 138 ] simplifiying candidate # 1.899 * * * * [progress]: [ 137 / 138 ] simplifiying candidate # 1.900 * * * * [progress]: [ 138 / 138 ] simplifiying candidate # 1.902 * [simplify]: Simplifying: (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x))) (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x)) (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x)) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos 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1: 525 enodes 2.215 * * [simplify]: iteration 2: 1777 enodes 2.540 * * [simplify]: iteration 3: 2000 enodes 2.947 * * [simplify]: iteration complete: 2000 enodes 2.947 * * [simplify]: Extracting #0: cost 108 inf + 0 2.949 * * [simplify]: Extracting #1: cost 513 inf + 2 2.951 * * [simplify]: Extracting #2: cost 664 inf + 3435 2.959 * * [simplify]: Extracting #3: cost 374 inf + 58162 2.981 * * [simplify]: Extracting #4: cost 86 inf + 145991 3.009 * * [simplify]: Extracting #5: cost 1 inf + 171989 3.045 * * [simplify]: Extracting #6: cost 0 inf + 171087 3.103 * [simplify]: Simplified to: (expm1 (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log1p (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log (/ (* (sin x) (sin x)) (fma (* x x) 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(fma -1/24 (* x x) (fma (* (* x x) (* x x)) 1/720 1/2)) (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) (fma (* x x) -1/2 (fma (* 1/24 (* x x)) (* x x) 2)) (+ (cos x) 1) (+ (cos x) 1) (fma -1/3 (* (* x x) (* x x)) (fma 2/45 (* (* x (* x x)) (* x (* x x))) (* x x))) (* (sin x) (sin x)) (* (sin x) (sin x)) (fma -1/24 (* (* x x) (* x x)) (fma 1/720 (* (* x (* x x)) (* x (* x x))) (* (* x x) 1/2))) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) 3.118 * * * [progress]: adding candidates to table 3.588 * * [progress]: iteration 3 / 4 3.588 * * * [progress]: picking best candidate 3.609 * * * * [pick]: Picked # 3.609 * * * [progress]: localizing error 3.636 * * * [progress]: generating rewritten candidates 3.636 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 3.648 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 3.661 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 3.690 * * * [progress]: generating series expansions 3.690 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 3.690 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 3.690 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 3.690 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 3.690 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 3.692 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 3.692 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 3.692 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.692 * [taylor]: Taking taylor expansion of 1/2 in x 3.692 * [backup-simplify]: Simplify 1/2 into 1/2 3.692 * [taylor]: Taking taylor expansion of x in x 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 1 into 1 3.693 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.694 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.694 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 3.694 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.694 * [taylor]: Taking taylor expansion of 1/2 in x 3.694 * [backup-simplify]: Simplify 1/2 into 1/2 3.694 * [taylor]: Taking taylor expansion of x in x 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 1 into 1 3.695 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.696 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.696 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 3.697 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.697 * [taylor]: Taking taylor expansion of x in x 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify 1 into 1 3.697 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.697 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 3.697 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 3.697 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 3.697 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 3.697 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.697 * [taylor]: Taking taylor expansion of 1/2 in x 3.697 * [backup-simplify]: Simplify 1/2 into 1/2 3.697 * [taylor]: Taking taylor expansion of x in x 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify 1 into 1 3.698 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.698 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.699 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 3.699 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.699 * [taylor]: Taking taylor expansion of 1/2 in x 3.699 * [backup-simplify]: Simplify 1/2 into 1/2 3.699 * [taylor]: Taking taylor expansion of x in x 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 1 into 1 3.699 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.700 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.700 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 3.701 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.701 * [taylor]: Taking taylor expansion of x in x 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 1 into 1 3.701 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.701 * [backup-simplify]: Simplify 1/2 into 1/2 3.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.703 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.703 * [backup-simplify]: Simplify (+ 0) into 0 3.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.705 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.714 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 3.715 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 3.716 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 3.717 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 3.717 * [backup-simplify]: Simplify 1/24 into 1/24 3.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.720 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.722 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 3.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.730 * [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 3.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.733 * [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 3.735 * [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 3.737 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 3.737 * [backup-simplify]: Simplify 1/240 into 1/240 3.737 * [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)) 3.737 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 3.737 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 3.737 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 3.737 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 3.738 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.738 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 3.738 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.738 * [taylor]: Taking taylor expansion of 1/2 in x 3.738 * [backup-simplify]: Simplify 1/2 into 1/2 3.738 * [taylor]: Taking taylor expansion of x in x 3.738 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify 1 into 1 3.738 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.738 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 3.738 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 3.738 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.738 * [taylor]: Taking taylor expansion of 1/2 in x 3.738 * [backup-simplify]: Simplify 1/2 into 1/2 3.738 * [taylor]: Taking taylor expansion of x in x 3.738 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify 1 into 1 3.739 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.739 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 3.739 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.739 * [taylor]: Taking taylor expansion of x in x 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 3.739 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 3.739 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.739 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 3.739 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.739 * [taylor]: Taking taylor expansion of 1/2 in x 3.739 * [backup-simplify]: Simplify 1/2 into 1/2 3.739 * [taylor]: Taking taylor expansion of x in x 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.740 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.740 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 3.740 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 3.740 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.740 * [taylor]: Taking taylor expansion of 1/2 in x 3.740 * [backup-simplify]: Simplify 1/2 into 1/2 3.740 * [taylor]: Taking taylor expansion of x in x 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 1 into 1 3.740 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.740 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 3.741 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.741 * [taylor]: Taking taylor expansion of x in x 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 3.742 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.742 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.742 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 3.743 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 3.743 * [backup-simplify]: Simplify 0 into 0 3.744 * [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 3.745 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.745 * [backup-simplify]: Simplify 0 into 0 3.745 * [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 3.746 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.746 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 3.748 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [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 3.749 * [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 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [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 3.752 * [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 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [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)) 3.752 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 3.752 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 3.752 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 3.752 * [taylor]: Taking taylor expansion of -1 in x 3.752 * [backup-simplify]: Simplify -1 into -1 3.752 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 3.752 * [taylor]: Taking taylor expansion of x in x 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify 1 into 1 3.752 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 3.752 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.752 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 3.752 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.752 * [taylor]: Taking taylor expansion of -1/2 in x 3.752 * [backup-simplify]: Simplify -1/2 into -1/2 3.752 * [taylor]: Taking taylor expansion of x in x 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify 1 into 1 3.753 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.753 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 3.753 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 3.753 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.753 * [taylor]: Taking taylor expansion of -1/2 in x 3.753 * [backup-simplify]: Simplify -1/2 into -1/2 3.753 * [taylor]: Taking taylor expansion of x in x 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 1 into 1 3.754 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.754 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 3.754 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.754 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 3.754 * [taylor]: Taking taylor expansion of -1 in x 3.754 * [backup-simplify]: Simplify -1 into -1 3.754 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 3.754 * [taylor]: Taking taylor expansion of x in x 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 1 into 1 3.754 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 3.754 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.754 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 3.754 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.754 * [taylor]: Taking taylor expansion of -1/2 in x 3.754 * [backup-simplify]: Simplify -1/2 into -1/2 3.754 * [taylor]: Taking taylor expansion of x in x 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 1 into 1 3.755 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.755 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 3.755 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 3.755 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.755 * [taylor]: Taking taylor expansion of -1/2 in x 3.755 * [backup-simplify]: Simplify -1/2 into -1/2 3.755 * [taylor]: Taking taylor expansion of x in x 3.755 * [backup-simplify]: Simplify 0 into 0 3.755 * [backup-simplify]: Simplify 1 into 1 3.755 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.756 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 3.756 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.756 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 3.756 * [backup-simplify]: Simplify (* -1 0) into 0 3.756 * [backup-simplify]: Simplify 0 into 0 3.757 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 3.757 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.758 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 3.758 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 3.758 * [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 3.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 3.760 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 3.760 * [backup-simplify]: Simplify 0 into 0 3.760 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 3.761 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 3.762 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 3.762 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 3.764 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 3.766 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [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 3.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 3.770 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 3.770 * [backup-simplify]: Simplify 0 into 0 3.770 * [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 3.773 * [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 3.775 * [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 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [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 3.778 * [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 3.780 * [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 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [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)) 3.780 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 3.780 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 3.780 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 3.780 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 3.780 * [taylor]: Taking taylor expansion of (sin x) in x 3.780 * [taylor]: Taking taylor expansion of x in x 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 1 into 1 3.780 * [taylor]: Taking taylor expansion of x in x 3.780 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.781 * [backup-simplify]: Simplify (/ 1 1) into 1 3.781 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 3.781 * [taylor]: Taking taylor expansion of (sin x) in x 3.781 * [taylor]: Taking taylor expansion of x in x 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [taylor]: Taking taylor expansion of x in x 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.782 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.782 * [backup-simplify]: Simplify (/ 1 1) into 1 3.782 * [backup-simplify]: Simplify 1 into 1 3.783 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.783 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.785 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 3.785 * [backup-simplify]: Simplify -1/6 into -1/6 3.786 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 3.786 * [backup-simplify]: Simplify 0 into 0 3.788 * [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 3.789 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 3.789 * [backup-simplify]: Simplify 1/120 into 1/120 3.789 * [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))) 3.790 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 3.790 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 3.790 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 3.790 * [taylor]: Taking taylor expansion of x in x 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 1 into 1 3.790 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.790 * [taylor]: Taking taylor expansion of x in x 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 1 into 1 3.790 * [backup-simplify]: Simplify (/ 1 1) into 1 3.790 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.790 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 3.790 * [taylor]: Taking taylor expansion of x in x 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 1 into 1 3.790 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.790 * [taylor]: Taking taylor expansion of x in x 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 1 into 1 3.790 * [backup-simplify]: Simplify (/ 1 1) into 1 3.790 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.791 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 3.791 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.792 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 3.792 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 3.793 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 3.794 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 3.796 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 3.797 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 3.800 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 3.800 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 3.800 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 3.800 * [taylor]: Taking taylor expansion of -1 in x 3.800 * [backup-simplify]: Simplify -1 into -1 3.800 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 3.800 * [taylor]: Taking taylor expansion of x in x 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 1 into 1 3.800 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.800 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.800 * [taylor]: Taking taylor expansion of -1 in x 3.800 * [backup-simplify]: Simplify -1 into -1 3.800 * [taylor]: Taking taylor expansion of x in x 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 1 into 1 3.801 * [backup-simplify]: Simplify (/ -1 1) into -1 3.801 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.801 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 3.801 * [taylor]: Taking taylor expansion of -1 in x 3.801 * [backup-simplify]: Simplify -1 into -1 3.801 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 3.801 * [taylor]: Taking taylor expansion of x in x 3.801 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify 1 into 1 3.801 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.801 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.801 * [taylor]: Taking taylor expansion of -1 in x 3.801 * [backup-simplify]: Simplify -1 into -1 3.801 * [taylor]: Taking taylor expansion of x in x 3.801 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify 1 into 1 3.801 * [backup-simplify]: Simplify (/ -1 1) into -1 3.801 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.802 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 3.802 * [backup-simplify]: Simplify (* -1 0) into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 3.803 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 3.803 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 3.804 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 3.805 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 3.805 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 3.806 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 3.806 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 3.809 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 3.809 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 3.814 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 3.814 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 3.818 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 3.819 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 3.822 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 3.822 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 3.822 * * * * [progress]: [ 3 / 3 ] generating series at (2) 3.823 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 3.823 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 3.823 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 3.823 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 3.823 * [taylor]: Taking taylor expansion of (sin x) in x 3.823 * [taylor]: Taking taylor expansion of x in x 3.823 * [backup-simplify]: Simplify 0 into 0 3.823 * [backup-simplify]: Simplify 1 into 1 3.823 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 3.823 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 3.823 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 3.823 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.823 * [taylor]: Taking taylor expansion of 1/2 in x 3.823 * [backup-simplify]: Simplify 1/2 into 1/2 3.823 * [taylor]: Taking taylor expansion of x in x 3.823 * [backup-simplify]: Simplify 0 into 0 3.823 * [backup-simplify]: Simplify 1 into 1 3.823 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.824 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.824 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 3.824 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.824 * [taylor]: Taking taylor expansion of 1/2 in x 3.824 * [backup-simplify]: Simplify 1/2 into 1/2 3.824 * [taylor]: Taking taylor expansion of x in x 3.824 * [backup-simplify]: Simplify 0 into 0 3.824 * [backup-simplify]: Simplify 1 into 1 3.824 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.824 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.825 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 3.825 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.825 * [taylor]: Taking taylor expansion of x in x 3.825 * [backup-simplify]: Simplify 0 into 0 3.825 * [backup-simplify]: Simplify 1 into 1 3.825 * [backup-simplify]: Simplify (* 0 1/2) into 0 3.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.830 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.831 * [backup-simplify]: Simplify (+ 0) into 0 3.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.832 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.833 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 3.833 * [backup-simplify]: Simplify (* 1 1) into 1 3.833 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.833 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 3.833 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 3.833 * [taylor]: Taking taylor expansion of (sin x) in x 3.834 * [taylor]: Taking taylor expansion of x in x 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.834 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 3.834 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 3.834 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 3.834 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.834 * [taylor]: Taking taylor expansion of 1/2 in x 3.834 * [backup-simplify]: Simplify 1/2 into 1/2 3.834 * [taylor]: Taking taylor expansion of x in x 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.834 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.835 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.835 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 3.835 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.835 * [taylor]: Taking taylor expansion of 1/2 in x 3.835 * [backup-simplify]: Simplify 1/2 into 1/2 3.835 * [taylor]: Taking taylor expansion of x in x 3.835 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify 1 into 1 3.835 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.835 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 3.836 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.836 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.836 * [taylor]: Taking taylor expansion of x in x 3.836 * [backup-simplify]: Simplify 0 into 0 3.836 * [backup-simplify]: Simplify 1 into 1 3.837 * [backup-simplify]: Simplify (* 0 1/2) into 0 3.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.838 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.838 * [backup-simplify]: Simplify (+ 0) into 0 3.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.839 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.839 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 3.840 * [backup-simplify]: Simplify (* 1 1) into 1 3.840 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.840 * [backup-simplify]: Simplify 1/2 into 1/2 3.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.842 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 3.842 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 3.843 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 3.844 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.845 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 3.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.846 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.848 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.850 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 3.853 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.855 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 3.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.857 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 3.857 * [backup-simplify]: Simplify -1/24 into -1/24 3.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.863 * [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 3.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.866 * [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 3.868 * [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 3.869 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.871 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 3.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 3.873 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.877 * [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 3.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.879 * [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 3.881 * [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 3.883 * [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 3.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 3.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.886 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 3.886 * [backup-simplify]: Simplify 1/720 into 1/720 3.887 * [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))) 3.887 * [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)))) 3.887 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 3.887 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 3.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.887 * [taylor]: Taking taylor expansion of x in x 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 3.887 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 3.887 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.887 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 3.887 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.887 * [taylor]: Taking taylor expansion of 1/2 in x 3.887 * [backup-simplify]: Simplify 1/2 into 1/2 3.887 * [taylor]: Taking taylor expansion of x in x 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.888 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 3.888 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 3.888 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.888 * [taylor]: Taking taylor expansion of 1/2 in x 3.888 * [backup-simplify]: Simplify 1/2 into 1/2 3.888 * [taylor]: Taking taylor expansion of x in x 3.888 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify 1 into 1 3.888 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.888 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 3.888 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.888 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.888 * [taylor]: Taking taylor expansion of x in x 3.888 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify 1 into 1 3.889 * [backup-simplify]: Simplify (/ 1 1) into 1 3.889 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.889 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 3.889 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.889 * [taylor]: Taking taylor expansion of x in x 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify 1 into 1 3.889 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 3.889 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 3.889 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.889 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 3.889 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.889 * [taylor]: Taking taylor expansion of 1/2 in x 3.889 * [backup-simplify]: Simplify 1/2 into 1/2 3.889 * [taylor]: Taking taylor expansion of x in x 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify 1 into 1 3.889 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.889 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 3.889 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 3.889 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.889 * [taylor]: Taking taylor expansion of 1/2 in x 3.889 * [backup-simplify]: Simplify 1/2 into 1/2 3.889 * [taylor]: Taking taylor expansion of x in x 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify 1 into 1 3.890 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.890 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 3.890 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.890 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.890 * [taylor]: Taking taylor expansion of x in x 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 1 into 1 3.890 * [backup-simplify]: Simplify (/ 1 1) into 1 3.890 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.890 * [backup-simplify]: Simplify (* 1 1) into 1 3.891 * [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))) 3.891 * [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))) 3.891 * [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))) 3.891 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 3.891 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 3.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.893 * [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 3.893 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 3.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 3.895 * [backup-simplify]: Simplify 0 into 0 3.896 * [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)))))) into 0 3.897 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 3.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 3.899 * [backup-simplify]: Simplify 0 into 0 3.900 * [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 3.901 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 3.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.904 * [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 3.904 * [backup-simplify]: Simplify 0 into 0 3.905 * [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 3.907 * [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 3.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.909 * [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 3.909 * [backup-simplify]: Simplify 0 into 0 3.909 * [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 3.911 * [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 3.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.913 * [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 3.913 * [backup-simplify]: Simplify 0 into 0 3.913 * [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))) 3.913 * [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)))) 3.913 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 3.913 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 3.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.913 * [taylor]: Taking taylor expansion of x in x 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 1 into 1 3.914 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 3.914 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 3.914 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.914 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 3.914 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.914 * [taylor]: Taking taylor expansion of -1/2 in x 3.914 * [backup-simplify]: Simplify -1/2 into -1/2 3.914 * [taylor]: Taking taylor expansion of x in x 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 1 into 1 3.914 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.914 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 3.914 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 3.914 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.914 * [taylor]: Taking taylor expansion of -1/2 in x 3.914 * [backup-simplify]: Simplify -1/2 into -1/2 3.914 * [taylor]: Taking taylor expansion of x in x 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 1 into 1 3.914 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.914 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 3.915 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.915 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.915 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.915 * [taylor]: Taking taylor expansion of -1 in x 3.915 * [backup-simplify]: Simplify -1 into -1 3.915 * [taylor]: Taking taylor expansion of x in x 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 1 into 1 3.915 * [backup-simplify]: Simplify (/ -1 1) into -1 3.915 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.915 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 3.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.915 * [taylor]: Taking taylor expansion of x in x 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 1 into 1 3.915 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 3.915 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 3.915 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.915 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 3.915 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.915 * [taylor]: Taking taylor expansion of -1/2 in x 3.915 * [backup-simplify]: Simplify -1/2 into -1/2 3.915 * [taylor]: Taking taylor expansion of x in x 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 1 into 1 3.916 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.916 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 3.916 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 3.916 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.916 * [taylor]: Taking taylor expansion of -1/2 in x 3.916 * [backup-simplify]: Simplify -1/2 into -1/2 3.916 * [taylor]: Taking taylor expansion of x in x 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify 1 into 1 3.916 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.916 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 3.916 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.916 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.916 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.916 * [taylor]: Taking taylor expansion of -1 in x 3.916 * [backup-simplify]: Simplify -1 into -1 3.916 * [taylor]: Taking taylor expansion of x in x 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify 1 into 1 3.917 * [backup-simplify]: Simplify (/ -1 1) into -1 3.917 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.917 * [backup-simplify]: Simplify (* 1 1) into 1 3.917 * [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))) 3.917 * [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))) 3.917 * [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))) 3.918 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 3.918 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 3.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 3.918 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 3.919 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 3.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [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 3.921 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 3.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 3.922 * [backup-simplify]: Simplify 0 into 0 3.923 * [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 3.924 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 3.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.925 * [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 3.925 * [backup-simplify]: Simplify 0 into 0 3.926 * [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 3.927 * [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 3.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.929 * [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 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 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 3.930 * [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 3.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.933 * [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 3.933 * [backup-simplify]: Simplify 0 into 0 3.933 * [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))) 3.933 * * * [progress]: simplifying candidates 3.933 * * * * [progress]: [ 1 / 123 ] simplifiying candidate # 3.933 * * * * [progress]: [ 2 / 123 ] simplifiying candidate # 3.933 * * * * [progress]: [ 3 / 123 ] simplifiying candidate # 3.933 * * * * [progress]: [ 4 / 123 ] simplifiying candidate # 3.933 * * * * [progress]: [ 5 / 123 ] simplifiying candidate # 3.933 * * * * [progress]: [ 6 / 123 ] simplifiying candidate # 3.933 * * * * [progress]: [ 7 / 123 ] simplifiying candidate # 3.933 * * * * [progress]: [ 8 / 123 ] simplifiying candidate # 3.933 * * * * [progress]: [ 9 / 123 ] simplifiying candidate # 3.933 * * * * [progress]: [ 10 / 123 ] simplifiying candidate # 3.933 * * * * [progress]: [ 11 / 123 ] simplifiying candidate # 3.933 * * * * [progress]: [ 12 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 13 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 14 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 15 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 16 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 17 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 18 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 19 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 20 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 21 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 22 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 23 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 24 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 25 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 26 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 27 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 28 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 29 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 30 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 31 / 123 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))))> 3.934 * * * * [progress]: [ 32 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 33 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 34 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 35 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 36 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 37 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 38 / 123 ] simplifiying candidate # 3.934 * * * * [progress]: [ 39 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 40 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 41 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 42 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 43 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 44 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 45 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 46 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 47 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 48 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 49 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 50 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 51 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 52 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 53 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 54 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 55 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 56 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 57 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 58 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 59 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 60 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 61 / 123 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))> 3.935 * * * * [progress]: [ 62 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 63 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 64 / 123 ] simplifiying candidate # 3.935 * * * * [progress]: [ 65 / 123 ] simplifiying candidate # 3.936 * * * * [progress]: [ 66 / 123 ] simplifiying candidate # 3.936 * * * * [progress]: [ 67 / 123 ] simplifiying candidate # 3.936 * * * * [progress]: [ 68 / 123 ] simplifiying candidate # 3.936 * * * * [progress]: [ 69 / 123 ] simplifiying candidate # 3.936 * * * * [progress]: [ 70 / 123 ] simplifiying candidate # 3.936 * * * * [progress]: [ 71 / 123 ] simplifiying candidate # 3.936 * * * * [progress]: [ 72 / 123 ] simplifiying candidate # 3.936 * * * * [progress]: [ 73 / 123 ] simplifiying candidate # 3.936 * * * * [progress]: [ 74 / 123 ] simplifiying candidate # 3.936 * * * * [progress]: [ 75 / 123 ] simplifiying candidate # 3.936 * * * * [progress]: [ 76 / 123 ] simplifiying candidate # 3.936 * * * * [progress]: [ 77 / 123 ] simplifiying candidate # 3.936 * * * * [progress]: [ 78 / 123 ] simplifiying candidate # 3.936 * * * * [progress]: [ 79 / 123 ] simplifiying candidate # 3.936 * * * * [progress]: [ 80 / 123 ] simplifiying candidate # 3.936 * * * * [progress]: [ 81 / 123 ] simplifiying candidate # 3.936 * * * * [progress]: [ 82 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 83 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 84 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 85 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 86 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 87 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 88 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 89 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 90 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 91 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 92 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 93 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 94 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 95 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 96 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 97 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 98 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 99 / 123 ] simplifiying candidate # 3.937 * * * * [progress]: [ 100 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 101 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 102 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 103 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 104 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 105 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 106 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 107 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 108 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 109 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 110 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 111 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 112 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 113 / 123 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))> 3.938 * * * * [progress]: [ 114 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 115 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 116 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 117 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 118 / 123 ] simplifiying candidate # 3.938 * * * * [progress]: [ 119 / 123 ] simplifiying candidate # 3.939 * * * * [progress]: [ 120 / 123 ] simplifiying candidate # 3.939 * * * * [progress]: [ 121 / 123 ] simplifiying candidate # 3.939 * * * * [progress]: [ 122 / 123 ] simplifiying candidate # 3.939 * * * * [progress]: [ 123 / 123 ] simplifiying candidate # 3.945 * [simplify]: Simplifying: (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (- (log (tan (/ x 2))) (log x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (/ (cbrt (tan (/ x 2))) (sqrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1) (/ (cbrt (tan (/ x 2))) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) 1) (/ (sqrt (tan (/ x 2))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) (/ 1 1) 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(/ (sin x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (sin x) (tan (/ x 2))) (* x x) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))) (* (/ (sin x) x) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) 1)) (* (/ (sin x) x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ 1 (sqrt x))) (* (/ (sin x) x) (/ 1 1)) (* (/ (sin x) x) 1) (* (/ (sin x) x) (tan (/ x 2))) (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ 1 x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (tan (/ x 2))) (* (sin x) (/ (tan (/ x 2)) x)) (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 3.947 * * [simplify]: iteration 0: 172 enodes 3.990 * * [simplify]: iteration 1: 453 enodes 4.201 * * [simplify]: iteration 2: 1627 enodes 4.574 * * [simplify]: iteration 3: 2004 enodes 4.836 * * [simplify]: iteration complete: 2004 enodes 4.836 * * [simplify]: Extracting #0: cost 107 inf + 0 4.845 * * [simplify]: Extracting #1: cost 559 inf + 1 4.848 * * [simplify]: Extracting #2: cost 715 inf + 4543 4.857 * * [simplify]: Extracting #3: cost 403 inf + 83826 4.879 * * [simplify]: Extracting #4: cost 62 inf + 191414 4.909 * * [simplify]: Extracting #5: cost 0 inf + 209987 4.939 * [simplify]: Simplified to: (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (/ (sqrt x) (cbrt (tan (/ x 2))))) (/ (cbrt (tan (/ x 2))) (sqrt x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (cbrt (tan (/ x 2))) x) (/ (/ (sqrt (tan (/ x 2))) (cbrt x)) (cbrt x)) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (tan (/ x 2))) (/ (sqrt (tan (/ x 2))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) 1 (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (sqrt x)) (tan (/ x 2)) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* (cos (/ x 2)) x) (real->posit16 (/ (tan (/ x 2)) x)) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (log (/ (sin x) x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (sqrt (/ (sin x) x)) (sqrt 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x))) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (sin x) x))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (/ (sin x) x))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (/ (sin x) x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (/ (/ (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) (sqrt x)) (sqrt x)) (/ (/ (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) (sqrt x)) (sqrt x)) (* (* (/ (sin x) x) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x))) (/ (* (sqrt (/ (tan (/ x 2)) x)) (sin x)) x) (/ (* (* (sin x) (/ (cbrt (tan (/ x 2))) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x))) x) (* (/ (cbrt (tan (/ x 2))) (/ (sqrt x) (cbrt (tan (/ x 2))))) (/ (sin x) x)) (* (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (sin x) x)) (/ (/ (sin x) x) (/ (* (cbrt x) (cbrt x)) (sqrt (tan (/ x 2))))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sin x) x)) (/ (sin x) (/ x (sqrt (tan (/ x 2))))) (/ (/ (/ (sin x) (cbrt x)) (cbrt x)) x) (/ (/ (sin x) (sqrt x)) x) (/ (sin x) x) (/ (sin x) x) (/ (sin x) (/ x (tan (/ x 2)))) (* (/ (tan (/ x 2)) x) (cbrt (/ (sin x) x))) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (/ (/ (cbrt (sin x)) (cbrt x)) (/ x (tan (/ x 2)))) (* (/ (cbrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (/ (/ (cbrt (sin x)) x) (/ x (tan (/ x 2)))) (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) (cbrt x))) (/ (* (tan (/ x 2)) (/ (sqrt (sin x)) (sqrt x))) x) (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) x)) (/ (/ (sin x) (cbrt x)) (/ x (tan (/ x 2)))) (/ (/ (sin x) (sqrt x)) (/ x (tan (/ x 2)))) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (/ (tan (/ x 2)) x) x) (/ (sin x) (/ x (tan (/ x 2)))) (/ (sin x) (/ x (tan (/ x 2)))) (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (fma 1/24 (* x x) (fma 1/240 (* (* x x) (* x x)) 1/2)) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (fma (* x x) -1/6 (fma 1/120 (* (* x x) (* x x)) 1)) (/ (sin x) x) (/ (sin x) x) (fma (* x x) -1/24 (fma (* (* x x) (* x x)) 1/720 1/2)) (/ (/ (* (sin x) (sin (* 1/2 x))) (* x x)) (cos (* 1/2 x))) (/ (/ (* (sin x) (sin (* 1/2 x))) (* x x)) (cos (* 1/2 x))) 4.945 * * * [progress]: adding candidates to table 5.401 * * [progress]: iteration 4 / 4 5.401 * * * [progress]: picking best candidate 5.419 * * * * [pick]: Picked # 5.420 * * * [progress]: localizing error 5.442 * * * [progress]: generating rewritten candidates 5.442 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 5.480 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 5.493 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 5.516 * * * [progress]: generating series expansions 5.516 * * * * [progress]: [ 1 / 3 ] generating series at (2) 5.517 * [backup-simplify]: Simplify (* (sin x) (/ (/ (tan (/ x 2)) x) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 5.517 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 5.517 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 5.517 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 5.517 * [taylor]: Taking taylor expansion of (sin x) in x 5.517 * [taylor]: Taking taylor expansion of x in x 5.517 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify 1 into 1 5.517 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.517 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.517 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.517 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.517 * [taylor]: Taking taylor expansion of 1/2 in x 5.517 * [backup-simplify]: Simplify 1/2 into 1/2 5.517 * [taylor]: Taking taylor expansion of x in x 5.517 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify 1 into 1 5.518 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.519 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.519 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.519 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.519 * [taylor]: Taking taylor expansion of 1/2 in x 5.519 * [backup-simplify]: Simplify 1/2 into 1/2 5.519 * [taylor]: Taking taylor expansion of x in x 5.519 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify 1 into 1 5.520 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.520 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.521 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.522 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.522 * [taylor]: Taking taylor expansion of x in x 5.522 * [backup-simplify]: Simplify 0 into 0 5.522 * [backup-simplify]: Simplify 1 into 1 5.522 * [backup-simplify]: Simplify (* 0 1/2) into 0 5.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.524 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.524 * [backup-simplify]: Simplify (+ 0) into 0 5.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.526 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.527 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 5.527 * [backup-simplify]: Simplify (* 1 1) into 1 5.528 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.528 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 5.528 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 5.528 * [taylor]: Taking taylor expansion of (sin x) in x 5.528 * [taylor]: Taking taylor expansion of x in x 5.528 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify 1 into 1 5.528 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.528 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.528 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.528 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.528 * [taylor]: Taking taylor expansion of 1/2 in x 5.528 * [backup-simplify]: Simplify 1/2 into 1/2 5.528 * [taylor]: Taking taylor expansion of x in x 5.528 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify 1 into 1 5.528 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.529 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.529 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.529 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.529 * [taylor]: Taking taylor expansion of 1/2 in x 5.529 * [backup-simplify]: Simplify 1/2 into 1/2 5.529 * [taylor]: Taking taylor expansion of x in x 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify 1 into 1 5.530 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.531 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.531 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.532 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.532 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.532 * [taylor]: Taking taylor expansion of x in x 5.532 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify 1 into 1 5.532 * [backup-simplify]: Simplify (* 0 1/2) into 0 5.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.534 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.534 * [backup-simplify]: Simplify (+ 0) into 0 5.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.536 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.537 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 5.537 * [backup-simplify]: Simplify (* 1 1) into 1 5.537 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.538 * [backup-simplify]: Simplify 1/2 into 1/2 5.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.540 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 5.541 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 5.543 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 5.544 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.545 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 5.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.547 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.550 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.552 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 5.555 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 5.557 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 5.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.559 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 5.559 * [backup-simplify]: Simplify -1/24 into -1/24 5.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.564 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 5.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.569 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 5.571 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 5.573 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.575 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 5.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 5.578 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.584 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.595 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 5.601 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 5.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 5.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.606 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 5.606 * [backup-simplify]: Simplify 1/720 into 1/720 5.607 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 5.607 * [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))) 5.607 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in (x) around 0 5.607 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in x 5.607 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.607 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.607 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.607 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.607 * [taylor]: Taking taylor expansion of 1/2 in x 5.607 * [backup-simplify]: Simplify 1/2 into 1/2 5.607 * [taylor]: Taking taylor expansion of x in x 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify 1 into 1 5.608 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.608 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.608 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.608 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.608 * [taylor]: Taking taylor expansion of 1/2 in x 5.608 * [backup-simplify]: Simplify 1/2 into 1/2 5.608 * [taylor]: Taking taylor expansion of x in x 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [backup-simplify]: Simplify 1 into 1 5.609 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.609 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.609 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.609 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (pow x 2)) in x 5.609 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.609 * [taylor]: Taking taylor expansion of x in x 5.609 * [backup-simplify]: Simplify 0 into 0 5.609 * [backup-simplify]: Simplify 1 into 1 5.609 * [backup-simplify]: Simplify (/ 1 1) into 1 5.609 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.609 * [taylor]: Taking taylor expansion of x in x 5.609 * [backup-simplify]: Simplify 0 into 0 5.609 * [backup-simplify]: Simplify 1 into 1 5.610 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in x 5.610 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.610 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.610 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.610 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.610 * [taylor]: Taking taylor expansion of 1/2 in x 5.610 * [backup-simplify]: Simplify 1/2 into 1/2 5.610 * [taylor]: Taking taylor expansion of x in x 5.610 * [backup-simplify]: Simplify 0 into 0 5.610 * [backup-simplify]: Simplify 1 into 1 5.610 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.610 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.610 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.610 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.610 * [taylor]: Taking taylor expansion of 1/2 in x 5.610 * [backup-simplify]: Simplify 1/2 into 1/2 5.610 * [taylor]: Taking taylor expansion of x in x 5.610 * [backup-simplify]: Simplify 0 into 0 5.610 * [backup-simplify]: Simplify 1 into 1 5.611 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.611 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.611 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.611 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (pow x 2)) in x 5.611 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.611 * [taylor]: Taking taylor expansion of x in x 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify 1 into 1 5.612 * [backup-simplify]: Simplify (/ 1 1) into 1 5.612 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.612 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.612 * [taylor]: Taking taylor expansion of x in x 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 1 into 1 5.612 * [backup-simplify]: Simplify (* 1 1) into 1 5.612 * [backup-simplify]: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) 5.613 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5.613 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.614 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 5.614 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 5.614 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 5.614 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.616 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 5.616 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.617 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 5.617 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.619 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.619 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.620 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 5.620 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.623 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.624 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.625 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 5.625 * [backup-simplify]: Simplify 0 into 0 5.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.627 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.628 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.630 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 5.630 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.633 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.633 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.635 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 5.636 * [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)))) 5.636 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 5.636 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 5.636 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.636 * [taylor]: Taking taylor expansion of x in x 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 5.636 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.636 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.636 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.636 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.637 * [taylor]: Taking taylor expansion of -1/2 in x 5.637 * [backup-simplify]: Simplify -1/2 into -1/2 5.637 * [taylor]: Taking taylor expansion of x in x 5.637 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify 1 into 1 5.637 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.637 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.637 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.637 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.637 * [taylor]: Taking taylor expansion of -1/2 in x 5.637 * [backup-simplify]: Simplify -1/2 into -1/2 5.637 * [taylor]: Taking taylor expansion of x in x 5.637 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify 1 into 1 5.638 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.638 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.638 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.638 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.638 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.638 * [taylor]: Taking taylor expansion of -1 in x 5.638 * [backup-simplify]: Simplify -1 into -1 5.638 * [taylor]: Taking taylor expansion of x in x 5.638 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify 1 into 1 5.639 * [backup-simplify]: Simplify (/ -1 1) into -1 5.639 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.639 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 5.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.639 * [taylor]: Taking taylor expansion of x in x 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify 1 into 1 5.639 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 5.639 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.639 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.639 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.639 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.639 * [taylor]: Taking taylor expansion of -1/2 in x 5.639 * [backup-simplify]: Simplify -1/2 into -1/2 5.639 * [taylor]: Taking taylor expansion of x in x 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify 1 into 1 5.639 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.640 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.640 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.640 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.640 * [taylor]: Taking taylor expansion of -1/2 in x 5.640 * [backup-simplify]: Simplify -1/2 into -1/2 5.640 * [taylor]: Taking taylor expansion of x in x 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify 1 into 1 5.640 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.640 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.640 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.640 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.640 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.640 * [taylor]: Taking taylor expansion of -1 in x 5.640 * [backup-simplify]: Simplify -1 into -1 5.640 * [taylor]: Taking taylor expansion of x in x 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify 1 into 1 5.641 * [backup-simplify]: Simplify (/ -1 1) into -1 5.641 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.641 * [backup-simplify]: Simplify (* 1 1) into 1 5.642 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5.642 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5.642 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5.642 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 5.643 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 5.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 5.644 * [backup-simplify]: Simplify 0 into 0 5.644 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.645 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 5.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 5.647 * [backup-simplify]: Simplify 0 into 0 5.647 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.648 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 5.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 5.650 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.652 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 5.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 5.655 * [backup-simplify]: Simplify 0 into 0 5.656 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.657 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 5.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 5.661 * [backup-simplify]: Simplify 0 into 0 5.661 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.663 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 5.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 5.667 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 5.667 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 5.667 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 5.667 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 5.667 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 5.667 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.667 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.667 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.668 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.668 * [taylor]: Taking taylor expansion of 1/2 in x 5.668 * [backup-simplify]: Simplify 1/2 into 1/2 5.668 * [taylor]: Taking taylor expansion of x in x 5.668 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify 1 into 1 5.668 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.669 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.669 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.669 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.669 * [taylor]: Taking taylor expansion of 1/2 in x 5.669 * [backup-simplify]: Simplify 1/2 into 1/2 5.669 * [taylor]: Taking taylor expansion of x in x 5.669 * [backup-simplify]: Simplify 0 into 0 5.669 * [backup-simplify]: Simplify 1 into 1 5.669 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.670 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.671 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.671 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.671 * [taylor]: Taking taylor expansion of x in x 5.671 * [backup-simplify]: Simplify 0 into 0 5.671 * [backup-simplify]: Simplify 1 into 1 5.672 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.672 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 5.672 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.672 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.672 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.672 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.672 * [taylor]: Taking taylor expansion of 1/2 in x 5.672 * [backup-simplify]: Simplify 1/2 into 1/2 5.672 * [taylor]: Taking taylor expansion of x in x 5.672 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify 1 into 1 5.672 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.673 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.673 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.673 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.673 * [taylor]: Taking taylor expansion of 1/2 in x 5.673 * [backup-simplify]: Simplify 1/2 into 1/2 5.673 * [taylor]: Taking taylor expansion of x in x 5.673 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify 1 into 1 5.674 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.674 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.675 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.676 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.676 * [taylor]: Taking taylor expansion of x in x 5.676 * [backup-simplify]: Simplify 0 into 0 5.676 * [backup-simplify]: Simplify 1 into 1 5.676 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.676 * [backup-simplify]: Simplify 1/2 into 1/2 5.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.678 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.678 * [backup-simplify]: Simplify (+ 0) into 0 5.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.680 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.682 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 5.683 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 5.685 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 5.686 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 5.686 * [backup-simplify]: Simplify 1/24 into 1/24 5.687 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.689 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.691 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 5.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 5.694 * [backup-simplify]: Simplify 0 into 0 5.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.699 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 5.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.702 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 5.704 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 5.706 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 5.706 * [backup-simplify]: Simplify 1/240 into 1/240 5.706 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 4)) (+ (* 1/24 (pow x 2)) 1/2)) into (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) 5.706 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 5.706 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 5.707 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 5.707 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.707 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.707 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.707 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.707 * [taylor]: Taking taylor expansion of 1/2 in x 5.707 * [backup-simplify]: Simplify 1/2 into 1/2 5.707 * [taylor]: Taking taylor expansion of x in x 5.707 * [backup-simplify]: Simplify 0 into 0 5.707 * [backup-simplify]: Simplify 1 into 1 5.707 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.707 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.707 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.707 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.707 * [taylor]: Taking taylor expansion of 1/2 in x 5.707 * [backup-simplify]: Simplify 1/2 into 1/2 5.707 * [taylor]: Taking taylor expansion of x in x 5.707 * [backup-simplify]: Simplify 0 into 0 5.707 * [backup-simplify]: Simplify 1 into 1 5.708 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.708 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.708 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.708 * [taylor]: Taking taylor expansion of x in x 5.708 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify 1 into 1 5.708 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 5.708 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.708 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.708 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.708 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.708 * [taylor]: Taking taylor expansion of 1/2 in x 5.708 * [backup-simplify]: Simplify 1/2 into 1/2 5.708 * [taylor]: Taking taylor expansion of x in x 5.708 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify 1 into 1 5.709 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.709 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.709 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.709 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.709 * [taylor]: Taking taylor expansion of 1/2 in x 5.709 * [backup-simplify]: Simplify 1/2 into 1/2 5.709 * [taylor]: Taking taylor expansion of x in x 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify 1 into 1 5.710 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.710 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.710 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.710 * [taylor]: Taking taylor expansion of x in x 5.710 * [backup-simplify]: Simplify 0 into 0 5.710 * [backup-simplify]: Simplify 1 into 1 5.710 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 5.710 * [backup-simplify]: Simplify 0 into 0 5.710 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 5.711 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.711 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.711 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.712 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 5.712 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.713 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.713 * [backup-simplify]: Simplify 0 into 0 5.714 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.715 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.715 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.717 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.717 * [backup-simplify]: Simplify 0 into 0 5.717 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.719 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.719 * [backup-simplify]: Simplify 0 into 0 5.719 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.721 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 5.721 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 5.721 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 5.721 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 5.721 * [taylor]: Taking taylor expansion of -1 in x 5.721 * [backup-simplify]: Simplify -1 into -1 5.721 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 5.721 * [taylor]: Taking taylor expansion of x in x 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify 1 into 1 5.721 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.721 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.721 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.721 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.721 * [taylor]: Taking taylor expansion of -1/2 in x 5.721 * [backup-simplify]: Simplify -1/2 into -1/2 5.721 * [taylor]: Taking taylor expansion of x in x 5.722 * [backup-simplify]: Simplify 0 into 0 5.722 * [backup-simplify]: Simplify 1 into 1 5.722 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.722 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.722 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.722 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.722 * [taylor]: Taking taylor expansion of -1/2 in x 5.722 * [backup-simplify]: Simplify -1/2 into -1/2 5.722 * [taylor]: Taking taylor expansion of x in x 5.722 * [backup-simplify]: Simplify 0 into 0 5.722 * [backup-simplify]: Simplify 1 into 1 5.723 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.723 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.723 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.723 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 5.723 * [taylor]: Taking taylor expansion of -1 in x 5.723 * [backup-simplify]: Simplify -1 into -1 5.723 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 5.723 * [taylor]: Taking taylor expansion of x in x 5.723 * [backup-simplify]: Simplify 0 into 0 5.723 * [backup-simplify]: Simplify 1 into 1 5.723 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.723 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.723 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.723 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.723 * [taylor]: Taking taylor expansion of -1/2 in x 5.723 * [backup-simplify]: Simplify -1/2 into -1/2 5.723 * [taylor]: Taking taylor expansion of x in x 5.723 * [backup-simplify]: Simplify 0 into 0 5.723 * [backup-simplify]: Simplify 1 into 1 5.724 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.724 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.724 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.724 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.724 * [taylor]: Taking taylor expansion of -1/2 in x 5.724 * [backup-simplify]: Simplify -1/2 into -1/2 5.724 * [taylor]: Taking taylor expansion of x in x 5.724 * [backup-simplify]: Simplify 0 into 0 5.724 * [backup-simplify]: Simplify 1 into 1 5.724 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.725 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.725 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.725 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 5.725 * [backup-simplify]: Simplify (* -1 0) into 0 5.725 * [backup-simplify]: Simplify 0 into 0 5.726 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 5.726 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.727 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 5.727 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 5.727 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.728 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 5.733 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 5.733 * [backup-simplify]: Simplify 0 into 0 5.734 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.735 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 5.736 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 5.736 * [backup-simplify]: Simplify 0 into 0 5.737 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 5.740 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 5.740 * [backup-simplify]: Simplify 0 into 0 5.741 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 5.745 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 5.745 * [backup-simplify]: Simplify 0 into 0 5.746 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 5.750 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))))) into 0 5.750 * [backup-simplify]: Simplify 0 into 0 5.751 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.753 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0 5.756 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))))) into 0 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify (* (- (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 5.756 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 5.756 * [backup-simplify]: Simplify (/ (/ (tan (/ x 2)) x) x) into (/ (tan (* 1/2 x)) (pow x 2)) 5.757 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) (pow x 2)) in (x) around 0 5.757 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) (pow x 2)) in x 5.757 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.757 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.757 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.757 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.757 * [taylor]: Taking taylor expansion of 1/2 in x 5.757 * [backup-simplify]: Simplify 1/2 into 1/2 5.757 * [taylor]: Taking taylor expansion of x in x 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify 1 into 1 5.757 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.758 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.758 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.758 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.758 * [taylor]: Taking taylor expansion of 1/2 in x 5.758 * [backup-simplify]: Simplify 1/2 into 1/2 5.758 * [taylor]: Taking taylor expansion of x in x 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 1 into 1 5.759 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.759 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.760 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.760 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.761 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.761 * [taylor]: Taking taylor expansion of x in x 5.761 * [backup-simplify]: Simplify 0 into 0 5.761 * [backup-simplify]: Simplify 1 into 1 5.761 * [backup-simplify]: Simplify (* 1 1) into 1 5.761 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.761 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) (pow x 2)) in x 5.761 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.761 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.761 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.762 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.762 * [taylor]: Taking taylor expansion of 1/2 in x 5.762 * [backup-simplify]: Simplify 1/2 into 1/2 5.762 * [taylor]: Taking taylor expansion of x in x 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify 1 into 1 5.762 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.763 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.763 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.763 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.763 * [taylor]: Taking taylor expansion of 1/2 in x 5.763 * [backup-simplify]: Simplify 1/2 into 1/2 5.763 * [taylor]: Taking taylor expansion of x in x 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.763 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.764 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.765 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.765 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.765 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.765 * [taylor]: Taking taylor expansion of x in x 5.765 * [backup-simplify]: Simplify 0 into 0 5.765 * [backup-simplify]: Simplify 1 into 1 5.766 * [backup-simplify]: Simplify (* 1 1) into 1 5.766 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.766 * [backup-simplify]: Simplify 1/2 into 1/2 5.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.768 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.768 * [backup-simplify]: Simplify (+ 0) into 0 5.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.771 * [backup-simplify]: Simplify 0 into 0 5.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.773 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 5.774 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 5.776 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 5.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.778 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 5.778 * [backup-simplify]: Simplify 1/24 into 1/24 5.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.781 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.783 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 5.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 5.786 * [backup-simplify]: Simplify 0 into 0 5.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.789 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 5.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.791 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 5.792 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 5.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.794 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 5.794 * [backup-simplify]: Simplify 1/240 into 1/240 5.794 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 3)) (+ (* 1/24 x) (* 1/2 (/ 1 x)))) into (+ (* 1/24 x) (+ (* 1/240 (pow x 3)) (* 1/2 (/ 1 x)))) 5.795 * [backup-simplify]: Simplify (/ (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) (/ 1 x)) into (* (tan (/ 1/2 x)) (pow x 2)) 5.795 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) (pow x 2)) in (x) around 0 5.795 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (pow x 2)) in x 5.795 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.795 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.795 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.795 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.795 * [taylor]: Taking taylor expansion of 1/2 in x 5.795 * [backup-simplify]: Simplify 1/2 into 1/2 5.795 * [taylor]: Taking taylor expansion of x in x 5.795 * [backup-simplify]: Simplify 0 into 0 5.795 * [backup-simplify]: Simplify 1 into 1 5.795 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.795 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.795 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.795 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.795 * [taylor]: Taking taylor expansion of 1/2 in x 5.795 * [backup-simplify]: Simplify 1/2 into 1/2 5.795 * [taylor]: Taking taylor expansion of x in x 5.795 * [backup-simplify]: Simplify 0 into 0 5.795 * [backup-simplify]: Simplify 1 into 1 5.796 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.796 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.796 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.796 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.796 * [taylor]: Taking taylor expansion of x in x 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify 1 into 1 5.796 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (pow x 2)) in x 5.796 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.796 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.796 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.796 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.796 * [taylor]: Taking taylor expansion of 1/2 in x 5.796 * [backup-simplify]: Simplify 1/2 into 1/2 5.796 * [taylor]: Taking taylor expansion of x in x 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify 1 into 1 5.796 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.796 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.796 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.796 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.796 * [taylor]: Taking taylor expansion of 1/2 in x 5.796 * [backup-simplify]: Simplify 1/2 into 1/2 5.796 * [taylor]: Taking taylor expansion of x in x 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify 1 into 1 5.797 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.797 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.797 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.797 * [taylor]: Taking taylor expansion of x in x 5.797 * [backup-simplify]: Simplify 0 into 0 5.797 * [backup-simplify]: Simplify 1 into 1 5.797 * [backup-simplify]: Simplify (* 1 1) into 1 5.797 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.797 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.798 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 5.798 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 1)) into 0 5.798 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.799 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.799 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 1))) into 0 5.799 * [backup-simplify]: Simplify 0 into 0 5.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.800 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.801 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.801 * [backup-simplify]: Simplify 0 into 0 5.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.802 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.803 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.803 * [backup-simplify]: Simplify 0 into 0 5.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.804 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.804 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.805 * [backup-simplify]: Simplify 0 into 0 5.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.806 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.807 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.807 * [backup-simplify]: Simplify 0 into 0 5.807 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) (pow x 2))) 5.807 * [backup-simplify]: Simplify (/ (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) (/ 1 (- x))) into (* (pow x 2) (tan (/ -1/2 x))) 5.807 * [approximate]: Taking taylor expansion of (* (pow x 2) (tan (/ -1/2 x))) in (x) around 0 5.807 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ -1/2 x))) in x 5.807 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.807 * [taylor]: Taking taylor expansion of x in x 5.807 * [backup-simplify]: Simplify 0 into 0 5.807 * [backup-simplify]: Simplify 1 into 1 5.807 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.807 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.807 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.807 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.807 * [taylor]: Taking taylor expansion of -1/2 in x 5.807 * [backup-simplify]: Simplify -1/2 into -1/2 5.807 * [taylor]: Taking taylor expansion of x in x 5.807 * [backup-simplify]: Simplify 0 into 0 5.807 * [backup-simplify]: Simplify 1 into 1 5.808 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.808 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.808 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.808 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.808 * [taylor]: Taking taylor expansion of -1/2 in x 5.808 * [backup-simplify]: Simplify -1/2 into -1/2 5.808 * [taylor]: Taking taylor expansion of x in x 5.808 * [backup-simplify]: Simplify 0 into 0 5.808 * [backup-simplify]: Simplify 1 into 1 5.808 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.808 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.808 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.808 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ -1/2 x))) in x 5.808 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.808 * [taylor]: Taking taylor expansion of x in x 5.808 * [backup-simplify]: Simplify 0 into 0 5.808 * [backup-simplify]: Simplify 1 into 1 5.808 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.808 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.808 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.809 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.809 * [taylor]: Taking taylor expansion of -1/2 in x 5.809 * [backup-simplify]: Simplify -1/2 into -1/2 5.809 * [taylor]: Taking taylor expansion of x in x 5.809 * [backup-simplify]: Simplify 0 into 0 5.809 * [backup-simplify]: Simplify 1 into 1 5.809 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.809 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.809 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.809 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.809 * [taylor]: Taking taylor expansion of -1/2 in x 5.809 * [backup-simplify]: Simplify -1/2 into -1/2 5.809 * [taylor]: Taking taylor expansion of x in x 5.809 * [backup-simplify]: Simplify 0 into 0 5.809 * [backup-simplify]: Simplify 1 into 1 5.809 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.809 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.810 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.810 * [backup-simplify]: Simplify (* 1 1) into 1 5.810 * [backup-simplify]: Simplify (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.810 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.811 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 5.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0 5.812 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 5.814 * [backup-simplify]: Simplify 0 into 0 5.814 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 5.822 * [backup-simplify]: Simplify 0 into 0 5.822 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 5.825 * [backup-simplify]: Simplify 0 into 0 5.825 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) (pow x 2))) 5.825 * * * [progress]: simplifying candidates 5.825 * * * * [progress]: [ 1 / 181 ] simplifiying candidate # 5.825 * * * * [progress]: [ 2 / 181 ] simplifiying candidate # 5.825 * * * * [progress]: [ 3 / 181 ] simplifiying candidate # 5.825 * * * * [progress]: [ 4 / 181 ] simplifiying candidate # 5.825 * * * * [progress]: [ 5 / 181 ] simplifiying candidate # 5.825 * * * * [progress]: [ 6 / 181 ] simplifiying candidate # 5.825 * * * * [progress]: [ 7 / 181 ] simplifiying candidate # 5.825 * * * * [progress]: [ 8 / 181 ] simplifiying candidate # 5.825 * * * * [progress]: [ 9 / 181 ] simplifiying candidate # 5.826 * * * * [progress]: [ 10 / 181 ] simplifiying candidate # 5.826 * * * * [progress]: [ 11 / 181 ] simplifiying candidate # 5.826 * * * * [progress]: [ 12 / 181 ] simplifiying candidate # 5.826 * * * * [progress]: [ 13 / 181 ] simplifiying candidate # 5.826 * * * * [progress]: [ 14 / 181 ] simplifiying candidate # 5.826 * * * * [progress]: [ 15 / 181 ] simplifiying candidate # 5.826 * * * * [progress]: [ 16 / 181 ] simplifiying candidate # 5.826 * * * * [progress]: [ 17 / 181 ] simplifiying candidate # 5.826 * * * * [progress]: [ 18 / 181 ] simplifiying candidate # 5.826 * * * * [progress]: [ 19 / 181 ] simplifiying candidate # 5.826 * * * * [progress]: [ 20 / 181 ] simplifiying candidate # 5.826 * * * * [progress]: [ 21 / 181 ] simplifiying candidate # 5.826 * * * * [progress]: [ 22 / 181 ] simplifiying candidate # 5.826 * * * * [progress]: [ 23 / 181 ] simplifiying 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5.829 * * * * [progress]: [ 55 / 181 ] simplifiying candidate # 5.829 * * * * [progress]: [ 56 / 181 ] simplifiying candidate # 5.829 * * * * [progress]: [ 57 / 181 ] simplifiying candidate # 5.829 * * * * [progress]: [ 58 / 181 ] simplifiying candidate # 5.829 * * * * [progress]: [ 59 / 181 ] simplifiying candidate # 5.829 * * * * [progress]: [ 60 / 181 ] simplifiying candidate # 5.829 * * * * [progress]: [ 61 / 181 ] simplifiying candidate # 5.829 * * * * [progress]: [ 62 / 181 ] simplifiying candidate # 5.829 * * * * [progress]: [ 63 / 181 ] simplifiying candidate # 5.829 * * * * [progress]: [ 64 / 181 ] simplifiying candidate # 5.829 * * * * [progress]: [ 65 / 181 ] simplifiying candidate # 5.829 * * * * [progress]: [ 66 / 181 ] simplifiying candidate # 5.829 * * * * [progress]: [ 67 / 181 ] simplifiying candidate #real (real->posit16 (* (sin x) (/ (/ (tan (/ x 2)) x) x)))))> 5.829 * * * * [progress]: [ 68 / 181 ] simplifiying candidate # 5.829 * * * * [progress]: [ 69 / 181 ] simplifiying candidate # 5.829 * * * * [progress]: [ 70 / 181 ] simplifiying candidate # 5.829 * * * * [progress]: [ 71 / 181 ] simplifiying candidate # 5.829 * * * * [progress]: [ 72 / 181 ] simplifiying candidate # 5.829 * * * * [progress]: [ 73 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 74 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 75 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 76 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 77 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 78 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 79 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 80 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 81 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 82 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 83 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 84 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 85 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 86 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 87 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 88 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 89 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 90 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 91 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 92 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 93 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 94 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 95 / 181 ] simplifiying candidate # 5.830 * * * * [progress]: [ 96 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 97 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 98 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 99 / 181 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x))) x)))> 5.831 * * * * [progress]: [ 100 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 101 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 102 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 103 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 104 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 105 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 106 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 107 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 108 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 109 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 110 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 111 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 112 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 113 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 114 / 181 ] simplifiying candidate # 5.831 * * * * [progress]: [ 115 / 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candidate # 5.832 * * * * [progress]: [ 131 / 181 ] simplifiying candidate # 5.832 * * * * [progress]: [ 132 / 181 ] simplifiying candidate # 5.832 * * * * [progress]: [ 133 / 181 ] simplifiying candidate # 5.832 * * * * [progress]: [ 134 / 181 ] simplifiying candidate # 5.832 * * * * [progress]: [ 135 / 181 ] simplifiying candidate # 5.832 * * * * [progress]: [ 136 / 181 ] simplifiying candidate # 5.832 * * * * [progress]: [ 137 / 181 ] simplifiying candidate # 5.832 * * * * [progress]: [ 138 / 181 ] simplifiying candidate # 5.832 * * * * [progress]: [ 139 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 140 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 141 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 142 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 143 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 144 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 145 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 146 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 147 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 148 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 149 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 150 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 151 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 152 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 153 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 154 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 155 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 156 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 157 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 158 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 159 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 160 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 161 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 162 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 163 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 164 / 181 ] simplifiying candidate # 5.833 * * * * [progress]: [ 165 / 181 ] simplifiying candidate # 5.834 * * * * [progress]: [ 166 / 181 ] simplifiying candidate # 5.834 * * * * [progress]: [ 167 / 181 ] simplifiying candidate # 5.834 * * * * [progress]: [ 168 / 181 ] simplifiying candidate # 5.834 * * * * [progress]: [ 169 / 181 ] simplifiying candidate # 5.834 * * * * [progress]: [ 170 / 181 ] simplifiying candidate # 5.834 * * * * [progress]: [ 171 / 181 ] simplifiying candidate # 5.834 * * * * [progress]: [ 172 / 181 ] simplifiying candidate #real (real->posit16 (/ (/ (tan (/ x 2)) x) x)))))> 5.834 * * * * [progress]: [ 173 / 181 ] simplifiying candidate # 5.834 * * * * [progress]: [ 174 / 181 ] simplifiying candidate # 5.834 * * * * [progress]: [ 175 / 181 ] simplifiying candidate # 5.834 * * * * [progress]: [ 176 / 181 ] simplifiying candidate # 5.834 * * * * [progress]: [ 177 / 181 ] simplifiying candidate # 5.834 * * * * [progress]: [ 178 / 181 ] simplifiying candidate # 5.834 * * * * [progress]: [ 179 / 181 ] simplifiying candidate # 5.834 * * * * [progress]: [ 180 / 181 ] simplifiying candidate # 5.834 * * * * [progress]: [ 181 / 181 ] simplifiying candidate # 5.836 * [simplify]: Simplifying: (expm1 (* (sin x) (/ (/ (tan (/ x 2)) x) x))) (log1p (* (sin x) (/ (/ (tan (/ x 2)) x) x))) (* (sin x) (/ (/ (tan (/ x 2)) x) x)) (+ (log (sin x)) (- (- (log (tan (/ x 2))) (log x)) (log x))) (+ (log (sin x)) (- (log (/ (tan (/ x 2)) x)) (log x))) (+ (log (sin x)) (log (/ (/ (tan (/ x 2)) x) x))) (log (* (sin x) (/ (/ (tan (/ x 2)) x) x))) (exp (* (sin x) (/ (/ (tan (/ x 2)) x) x))) (* (* (* (sin x) (sin x)) (sin x)) (/ (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)) (* (* x x) x))) (* (* (* (sin x) (sin x)) (sin x)) (/ (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)) (* (* x x) x))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (/ (/ (tan (/ x 2)) x) x) (/ (/ (tan (/ x 2)) x) x)) (/ (/ (tan (/ x 2)) x) x))) (* (cbrt (* (sin x) (/ (/ (tan (/ x 2)) x) x))) (cbrt (* (sin x) (/ (/ (tan (/ x 2)) x) x)))) (cbrt (* (sin x) (/ (/ (tan (/ x 2)) x) x))) (* (* (* (sin x) (/ (/ (tan (/ x 2)) x) x)) (* (sin x) (/ (/ (tan (/ x 2)) x) x))) (* (sin x) (/ (/ (tan (/ x 2)) x) x))) (sqrt (* (sin x) (/ (/ (tan (/ x 2)) x) x))) (sqrt (* (sin x) (/ (/ (tan (/ x 2)) x) x))) (* (sqrt (sin x)) (sqrt (/ (/ (tan (/ x 2)) x) x))) (* (sqrt (sin x)) (sqrt (/ (/ (tan (/ x 2)) x) x))) (* (sqrt (sin x)) (/ (sqrt (/ (tan (/ x 2)) x)) (sqrt x))) (* (sqrt (sin x)) (/ (sqrt (/ (tan (/ x 2)) x)) (sqrt x))) (* (sqrt (sin x)) (/ (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt x))) (* (sqrt (sin x)) (/ (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt x))) (* (sin x) (* (cbrt (/ (/ (tan (/ x 2)) x) x)) (cbrt (/ (/ (tan (/ x 2)) x) x)))) (* (sin x) (sqrt (/ (/ (tan (/ x 2)) x) x))) (* 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2))) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) (pow x 2))) 5.838 * * [simplify]: iteration 0: 253 enodes 5.910 * * [simplify]: iteration 1: 631 enodes 6.154 * * [simplify]: iteration 2: 1962 enodes 6.593 * * [simplify]: iteration 3: 2000 enodes 6.931 * * [simplify]: iteration complete: 2000 enodes 6.932 * * [simplify]: Extracting #0: cost 157 inf + 0 6.934 * * [simplify]: Extracting #1: cost 635 inf + 1 6.940 * * [simplify]: Extracting #2: cost 627 inf + 18009 6.958 * * [simplify]: Extracting #3: cost 260 inf + 116714 6.997 * * [simplify]: Extracting #4: cost 16 inf + 202915 7.025 * * [simplify]: Extracting #5: cost 0 inf + 209162 7.063 * [simplify]: Simplified to: (expm1 (/ (sin x) (/ (* x x) (tan (/ x 2))))) (log1p (/ (sin x) (/ (* x x) (tan (/ x 2))))) (/ (sin x) (/ (* x x) (tan (/ x 2)))) (log (/ (sin x) (/ (* x x) (tan (/ x 2))))) (log (/ (sin x) (/ (* x x) (tan (/ x 2))))) (log (/ (sin x) (/ (* x x) (tan (/ x 2))))) (log (/ (sin x) (/ (* x x) (tan (/ x 2))))) (exp (/ (sin x) (/ (* x 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(tan (/ x 2)))) (* (/ x (tan (/ x 2))) (cbrt x)) (/ (* x (sqrt x)) (tan (/ x 2))) (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2))) (* x x) (* x x) (real->posit16 (/ (tan (/ x 2)) (* x x))) (fma 1/720 (* (* x x) (* x x)) (- 1/2 (* 1/24 (* x x)))) (/ (/ (* (sin x) (sin (* x 1/2))) (* x x)) (cos (* x 1/2))) (/ (/ (* (sin x) (sin (* x 1/2))) (* x x)) (cos (* x 1/2))) (fma (* x x) 1/24 (fma (* (* x x) (* x x)) 1/240 1/2)) (/ (sin (* x 1/2)) (* (cos (* x 1/2)) x)) (/ (sin (* x 1/2)) (* (cos (* x 1/2)) x)) (fma 1/24 x (fma (* x (* x x)) 1/240 (/ 1/2 x))) (/ (sin (* x 1/2)) (* (* x x) (cos (* x 1/2)))) (/ (sin (* x 1/2)) (* (* x x) (cos (* x 1/2)))) 7.082 * * * [progress]: adding candidates to table 7.986 * [progress]: [Phase 3 of 3] Extracting. 7.986 * * [regime]: Finding splitpoints for: (# # # # # #) 7.988 * * * [regime-changes]: Trying 1 branch expressions: (x) 7.988 * * * * [regimes]: Trying to branch on x from (# # # # # #) 8.029 * * * [regime]: Found split indices: #