18.101 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.173 * * * [progress]: [2/2] Setting up program. 0.177 * [progress]: [Phase 2 of 3] Improving. 0.178 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.178 * [simplify]: Simplifying: (/ (- 1 (cos x)) (* x x)) 0.178 * * [simplify]: iteration 1: (6 enodes) 0.181 * * [simplify]: iteration 2: (13 enodes) 0.185 * * [simplify]: iteration 3: (21 enodes) 0.192 * * [simplify]: iteration 4: (26 enodes) 0.199 * * [simplify]: iteration 5: (28 enodes) 0.204 * * [simplify]: Extracting #0: cost 1 inf + 0 0.204 * * [simplify]: Extracting #1: cost 8 inf + 0 0.204 * * [simplify]: Extracting #2: cost 12 inf + 42 0.204 * * [simplify]: Extracting #3: cost 6 inf + 588 0.205 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.205 * [simplify]: Simplified to: (/ (- 1 (cos x)) (* x x)) 0.207 * * [progress]: iteration 1 / 4 0.207 * * * [progress]: picking best candidate 0.209 * * * * [pick]: Picked # 0.209 * * * [progress]: localizing error 0.219 * * * [progress]: generating rewritten candidates 0.219 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.261 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.274 * * * [progress]: generating series expansions 0.274 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.283 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2)) 0.283 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0 0.285 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.285 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.285 * [taylor]: Taking taylor expansion of 1 in x 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [taylor]: Taking taylor expansion of (cos x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (- 1) into -1 0.287 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.288 * [backup-simplify]: Simplify (+ 0) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.290 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.291 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.291 * [backup-simplify]: Simplify (* 1 1) into 1 0.292 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.292 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.292 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.292 * [taylor]: Taking taylor expansion of 1 in x 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of (cos x) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (- 1) into -1 0.293 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.293 * [backup-simplify]: Simplify (+ 0) into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.296 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.296 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.297 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.298 * [backup-simplify]: Simplify 1/2 into 1/2 0.300 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.305 * [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 0.306 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.306 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.309 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.309 * [backup-simplify]: Simplify -1/24 into -1/24 0.311 * [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 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.322 * [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 0.323 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.323 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.326 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.326 * [backup-simplify]: Simplify 1/720 into 1/720 0.328 * [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))) 0.328 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.328 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.328 * [taylor]: Taking taylor expansion of 1 in x 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.329 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.330 * [taylor]: Taking taylor expansion of 1 in x 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.331 * [backup-simplify]: Simplify (* 1 1) into 1 0.331 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.331 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.331 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.331 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.351 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.351 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.352 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.352 * [taylor]: Taking taylor expansion of 1 in x 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.352 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.352 * [taylor]: Taking taylor expansion of -1 in x 0.352 * [backup-simplify]: Simplify -1 into -1 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (/ -1 1) into -1 0.352 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.352 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [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 -1 in x 0.353 * [backup-simplify]: Simplify -1 into -1 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)) 0.354 * [backup-simplify]: Simplify (* 1 1) into 1 0.354 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.354 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.354 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.354 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (- 0) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.375 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.375 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.375 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.375 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.375 * [taylor]: Taking taylor expansion of 1 in x 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [taylor]: Taking taylor expansion of (cos x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.375 * [taylor]: Taking taylor expansion of 1 in x 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [taylor]: Taking taylor expansion of (cos x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (- 1) into -1 0.376 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (+ 0) into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.378 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.378 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.378 * [backup-simplify]: Simplify 1/2 into 1/2 0.379 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.379 * [backup-simplify]: Simplify (- 0) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.381 * [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 0.381 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.381 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.381 * [backup-simplify]: Simplify -1/24 into -1/24 0.386 * [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 0.387 * [backup-simplify]: Simplify (- 0) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.390 * [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 0.391 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.391 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.391 * [backup-simplify]: Simplify 1/720 into 1/720 0.391 * [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))) 0.391 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.391 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.391 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.391 * [taylor]: Taking taylor expansion of 1 in x 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.392 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.392 * [taylor]: Taking taylor expansion of 1 in x 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.392 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.392 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.392 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.393 * [backup-simplify]: Simplify (- 0) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (- 0) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify (- 0) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify (- 0) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (- 0) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (- 0) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.395 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.395 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.395 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.396 * [taylor]: Taking taylor expansion of 1 in x 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.396 * [taylor]: Taking taylor expansion of -1 in x 0.396 * [backup-simplify]: Simplify -1 into -1 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (/ -1 1) into -1 0.396 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.396 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.396 * [taylor]: Taking taylor expansion of 1 in x 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.396 * [taylor]: Taking taylor expansion of -1 in x 0.396 * [backup-simplify]: Simplify -1 into -1 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (/ -1 1) into -1 0.396 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.397 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.397 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.397 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.397 * [backup-simplify]: Simplify (- 0) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (- 0) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (- 0) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (- 0) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (- 0) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (- 0) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.400 * * * [progress]: simplifying candidates 0.400 * * * * [progress]: [ 1 / 69 ] simplifiying candidate # 0.400 * * * * [progress]: [ 2 / 69 ] simplifiying candidate # 0.400 * * * * [progress]: [ 3 / 69 ] simplifiying candidate # 0.400 * * * * [progress]: [ 4 / 69 ] simplifiying candidate # 0.400 * * * * [progress]: [ 5 / 69 ] simplifiying candidate # 0.400 * * * * [progress]: [ 6 / 69 ] simplifiying candidate # 0.400 * * * * [progress]: [ 7 / 69 ] simplifiying candidate # 0.400 * * * * [progress]: [ 8 / 69 ] simplifiying candidate # 0.400 * * * * [progress]: [ 9 / 69 ] simplifiying candidate # 0.400 * * * * [progress]: [ 10 / 69 ] simplifiying candidate # 0.400 * * * * [progress]: [ 11 / 69 ] simplifiying candidate # 0.400 * * * * [progress]: [ 12 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 13 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 14 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 15 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 16 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 17 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 18 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 19 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 20 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 21 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 22 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 23 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 24 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 25 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 26 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 27 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 28 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 29 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 30 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 31 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 32 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.401 * * * * [progress]: [ 34 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 35 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 36 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 37 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 38 / 69 ] simplifiying candidate # 0.401 * * * * [progress]: [ 39 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 40 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 41 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 42 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 43 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 44 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 45 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 46 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 47 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 48 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 49 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 50 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 51 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 52 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 53 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 54 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 55 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 56 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 57 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 58 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 59 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 60 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 61 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 62 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.402 * * * * [progress]: [ 64 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 65 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 66 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 67 / 69 ] simplifiying candidate # 0.402 * * * * [progress]: [ 68 / 69 ] simplifiying candidate # 0.403 * * * * [progress]: [ 69 / 69 ] simplifiying candidate # 0.403 * [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)) 0.404 * * [simplify]: iteration 1: (121 enodes) 0.456 * * [simplify]: iteration 2: (288 enodes) 0.556 * * [simplify]: iteration 3: (858 enodes) 1.941 * * [simplify]: Extracting #0: cost 47 inf + 0 1.942 * * [simplify]: Extracting #1: cost 342 inf + 0 1.945 * * [simplify]: Extracting #2: cost 662 inf + 9093 1.953 * * [simplify]: Extracting #3: cost 494 inf + 43484 1.975 * * [simplify]: Extracting #4: cost 102 inf + 133892 2.002 * * [simplify]: Extracting #5: cost 1 inf + 157929 2.029 * * [simplify]: Extracting #6: cost 0 inf + 158241 2.057 * [simplify]: Simplified to: (expm1 (/ (/ (- 1 (cos x)) x) x)) (log1p (/ (/ (- 1 (cos x)) x) x)) (log (/ (/ (- 1 (cos x)) x) x)) (log (/ (/ (- 1 (cos x)) x) x)) (log (/ (/ (- 1 (cos x)) x) x)) (exp (/ (/ (- 1 (cos x)) x) x)) (* (/ (/ (- 1 (cos x)) x) x) (* (/ (/ (- 1 (cos x)) x) x) (/ (/ (- 1 (cos x)) x) x))) (* (/ (/ (- 1 (cos x)) x) x) (* (/ (/ (- 1 (cos x)) x) x) (/ (/ (- 1 (cos x)) x) x))) (* (cbrt (/ (/ (- 1 (cos x)) x) x)) (cbrt (/ (/ (- 1 (cos x)) x) x))) (cbrt (/ (/ (- 1 (cos x)) x) x)) (* (/ (/ (- 1 (cos x)) x) x) (* (/ (/ (- 1 (cos x)) x) x) (/ (/ (- 1 (cos x)) x) x))) (sqrt (/ (/ (- 1 (cos x)) x) x)) (sqrt (/ (/ (- 1 (cos x)) x) x)) (- (- 1 (cos x))) (* (- x) x) (/ (/ 1 x) x) (/ (cos x) (* x x)) (* (/ (cbrt (- 1 (cos x))) x) (cbrt (- 1 (cos x)))) (/ (cbrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (+ (sqrt (cos x)) 1) x) (/ (- 1 (sqrt (cos x))) x) (/ (+ (sqrt (cos x)) 1) x) (/ (- 1 (sqrt (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (/ 1 x) x) (/ (* x x) (- 1 (cos x))) (/ (- 1 (cos x)) x) (* (/ x (cbrt (- 1 (cos x)))) x) (/ (* x x) (sqrt (- 1 (cos x)))) (/ (* x x) (- 1 (cos x))) (* (/ x (- 1 (sqrt (cos x)))) x) (* (/ x (- 1 (sqrt (cos x)))) x) (/ (* x x) (- 1 (cos x))) (fma (fma (cos x) (cos x) (cos x)) (* x x) (* x x)) (* x (fma x (cos x) x)) (real->posit16 (/ (/ (- 1 (cos x)) x) x)) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ E (exp (cos x))) (log (- 1 (cos x))) (/ E (exp (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (- 1 (cos x)) (* (- 1 (cos x)) (- 1 (cos x)))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- 1 (* (cos x) (* (cos x) (cos x)))) (fma (cos x) (+ (cos x) 1) 1) (- (cos x)) (* (sin x) (sin x)) (+ (cos x) 1) (+ (sqrt (cos x)) 1) (- 1 (sqrt (cos x))) (+ (sqrt (cos x)) 1) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (real->posit16 (- 1 (cos x))) (fma (* x x) -1/24 (fma (* x x) (* 1/720 (* x x)) 1/2)) (/ (/ (- 1 (cos x)) x) x) (/ (/ (- 1 (cos x)) x) x) (fma -1/24 (* (* x x) (* x x)) (fma 1/720 (* (* (* x x) (* x x)) (* x x)) (* 1/2 (* x x)))) (- 1 (cos x)) (- 1 (cos x)) 2.061 * * * [progress]: adding candidates to table 2.543 * * [progress]: iteration 2 / 4 2.543 * * * [progress]: picking best candidate 2.581 * * * * [pick]: Picked # 2.582 * * * [progress]: localizing error 2.620 * * * [progress]: generating rewritten candidates 2.620 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.666 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.677 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.699 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.733 * * * [progress]: generating series expansions 2.734 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.734 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 2.734 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 2.734 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 2.734 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.734 * [taylor]: Taking taylor expansion of (sin x) in x 2.734 * [taylor]: Taking taylor expansion of x in x 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.735 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 2.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.735 * [taylor]: Taking taylor expansion of x in x 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 1 into 1 2.735 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.735 * [taylor]: Taking taylor expansion of (cos x) in x 2.735 * [taylor]: Taking taylor expansion of x in x 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 1 into 1 2.735 * [taylor]: Taking taylor expansion of 1 in x 2.735 * [backup-simplify]: Simplify 1 into 1 2.736 * [backup-simplify]: Simplify (* 1 1) into 1 2.736 * [backup-simplify]: Simplify (* 1 1) into 1 2.736 * [backup-simplify]: Simplify (+ 1 1) into 2 2.736 * [backup-simplify]: Simplify (* 1 2) into 2 2.737 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.737 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 2.737 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.737 * [taylor]: Taking taylor expansion of (sin x) in x 2.737 * [taylor]: Taking taylor expansion of x in x 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.737 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 2.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.737 * [taylor]: Taking taylor expansion of x in x 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.737 * [taylor]: Taking taylor expansion of (cos x) in x 2.737 * [taylor]: Taking taylor expansion of x in x 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [taylor]: Taking taylor expansion of 1 in x 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [backup-simplify]: Simplify (* 1 1) into 1 2.738 * [backup-simplify]: Simplify (* 1 1) into 1 2.739 * [backup-simplify]: Simplify (+ 1 1) into 2 2.739 * [backup-simplify]: Simplify (* 1 2) into 2 2.739 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.739 * [backup-simplify]: Simplify 1/2 into 1/2 2.740 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.741 * [backup-simplify]: Simplify (+ 0) into 0 2.741 * [backup-simplify]: Simplify (+ 0 0) into 0 2.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 2.742 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 2.742 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.744 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.744 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.745 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.746 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 2.751 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 2.751 * [backup-simplify]: Simplify -1/24 into -1/24 2.752 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.753 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.754 * [backup-simplify]: Simplify (+ 0 0) into 0 2.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 2.756 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 2.756 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 2.759 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.760 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.761 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.762 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 2.764 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 2.764 * [backup-simplify]: Simplify 1/720 into 1/720 2.764 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 2.764 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) 2.764 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 2.764 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 2.764 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 2.764 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.764 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.764 * [taylor]: Taking taylor expansion of x in x 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 1 into 1 2.764 * [backup-simplify]: Simplify (/ 1 1) into 1 2.765 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.765 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.765 * [taylor]: Taking taylor expansion of x in x 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 1 into 1 2.765 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.765 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.765 * [taylor]: Taking taylor expansion of x in x 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 1 into 1 2.765 * [backup-simplify]: Simplify (/ 1 1) into 1 2.765 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.765 * [taylor]: Taking taylor expansion of 1 in x 2.765 * [backup-simplify]: Simplify 1 into 1 2.765 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.765 * [backup-simplify]: Simplify (* 1 1) into 1 2.766 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 2.766 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.766 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.766 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 2.766 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 2.766 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.766 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.766 * [taylor]: Taking taylor expansion of x in x 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 1 into 1 2.766 * [backup-simplify]: Simplify (/ 1 1) into 1 2.766 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.766 * [taylor]: Taking taylor expansion of x in x 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 1 into 1 2.766 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.766 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.766 * [taylor]: Taking taylor expansion of x in x 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (/ 1 1) into 1 2.767 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.767 * [taylor]: Taking taylor expansion of 1 in x 2.767 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.767 * [backup-simplify]: Simplify (* 1 1) into 1 2.767 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 2.767 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.767 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.767 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.768 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.768 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 2.768 * [backup-simplify]: Simplify (+ 0 0) into 0 2.769 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.769 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.770 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.770 * [backup-simplify]: Simplify (+ 0 0) into 0 2.770 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.772 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.772 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.772 * [backup-simplify]: Simplify (+ 0 0) into 0 2.773 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.774 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.775 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.775 * [backup-simplify]: Simplify (+ 0 0) into 0 2.776 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.777 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.778 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.778 * [backup-simplify]: Simplify (+ 0 0) into 0 2.779 * [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))))) into 0 2.779 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.783 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.784 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.785 * [backup-simplify]: Simplify (+ 0 0) into 0 2.785 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.785 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 2.786 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) 2.786 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 2.786 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 2.786 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 2.786 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.786 * [taylor]: Taking taylor expansion of x in x 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify 1 into 1 2.787 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.787 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.787 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.787 * [taylor]: Taking taylor expansion of -1 in x 2.787 * [backup-simplify]: Simplify -1 into -1 2.787 * [taylor]: Taking taylor expansion of x in x 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 1 into 1 2.787 * [backup-simplify]: Simplify (/ -1 1) into -1 2.787 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.787 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.787 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.787 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.787 * [taylor]: Taking taylor expansion of -1 in x 2.787 * [backup-simplify]: Simplify -1 into -1 2.787 * [taylor]: Taking taylor expansion of x in x 2.787 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [backup-simplify]: Simplify (/ -1 1) into -1 2.788 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.788 * [taylor]: Taking taylor expansion of 1 in x 2.788 * [backup-simplify]: Simplify 1 into 1 2.789 * [backup-simplify]: Simplify (* 1 1) into 1 2.789 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.789 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 2.789 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.789 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.789 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 2.789 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 2.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.789 * [taylor]: Taking taylor expansion of x in x 2.789 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify 1 into 1 2.789 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.789 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.789 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.789 * [taylor]: Taking taylor expansion of -1 in x 2.789 * [backup-simplify]: Simplify -1 into -1 2.789 * [taylor]: Taking taylor expansion of x in x 2.789 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify 1 into 1 2.790 * [backup-simplify]: Simplify (/ -1 1) into -1 2.790 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.790 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.790 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.790 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.790 * [taylor]: Taking taylor expansion of -1 in x 2.790 * [backup-simplify]: Simplify -1 into -1 2.790 * [taylor]: Taking taylor expansion of x in x 2.790 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify 1 into 1 2.791 * [backup-simplify]: Simplify (/ -1 1) into -1 2.791 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.791 * [taylor]: Taking taylor expansion of 1 in x 2.791 * [backup-simplify]: Simplify 1 into 1 2.791 * [backup-simplify]: Simplify (* 1 1) into 1 2.791 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.792 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 2.792 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.792 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.792 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.792 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 2.794 * [backup-simplify]: Simplify (+ 0 0) into 0 2.794 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.794 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 2.797 * [backup-simplify]: Simplify (+ 0 0) into 0 2.798 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 2.802 * [backup-simplify]: Simplify (+ 0 0) into 0 2.802 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.802 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 2.807 * [backup-simplify]: Simplify (+ 0 0) into 0 2.808 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.808 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 2.813 * [backup-simplify]: Simplify (+ 0 0) into 0 2.814 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.815 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 2.821 * [backup-simplify]: Simplify (+ 0 0) into 0 2.822 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 2.822 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.822 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 2.822 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 2.822 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.822 * [taylor]: Taking taylor expansion of (cos x) in x 2.822 * [taylor]: Taking taylor expansion of x in x 2.822 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [taylor]: Taking taylor expansion of 1 in x 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.823 * [taylor]: Taking taylor expansion of (cos x) in x 2.823 * [taylor]: Taking taylor expansion of x in x 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [taylor]: Taking taylor expansion of 1 in x 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (+ 1 1) into 2 2.823 * [backup-simplify]: Simplify 2 into 2 2.823 * [backup-simplify]: Simplify (+ 0) into 0 2.823 * [backup-simplify]: Simplify (+ 0 0) into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.824 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.824 * [backup-simplify]: Simplify -1/2 into -1/2 2.825 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.825 * [backup-simplify]: Simplify (+ 0 0) into 0 2.825 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.827 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.827 * [backup-simplify]: Simplify 1/24 into 1/24 2.827 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2)) into (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) 2.827 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 2.827 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 2.827 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.827 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.827 * [taylor]: Taking taylor expansion of x in x 2.828 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify 1 into 1 2.828 * [backup-simplify]: Simplify (/ 1 1) into 1 2.828 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.828 * [taylor]: Taking taylor expansion of 1 in x 2.828 * [backup-simplify]: Simplify 1 into 1 2.828 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.828 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.828 * [taylor]: Taking taylor expansion of x in x 2.828 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify 1 into 1 2.828 * [backup-simplify]: Simplify (/ 1 1) into 1 2.828 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.828 * [taylor]: Taking taylor expansion of 1 in x 2.828 * [backup-simplify]: Simplify 1 into 1 2.828 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.828 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.829 * [backup-simplify]: Simplify (+ 0 0) into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify (+ 0 0) into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify (+ 0 0) into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify (+ 0 0) into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify (+ 0 0) into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (+ 0 0) into 0 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 2.831 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 2.831 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 2.831 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.831 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.831 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.831 * [taylor]: Taking taylor expansion of -1 in x 2.831 * [backup-simplify]: Simplify -1 into -1 2.831 * [taylor]: Taking taylor expansion of x in x 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 1 into 1 2.831 * [backup-simplify]: Simplify (/ -1 1) into -1 2.831 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.831 * [taylor]: Taking taylor expansion of 1 in x 2.831 * [backup-simplify]: Simplify 1 into 1 2.831 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.831 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.831 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.831 * [taylor]: Taking taylor expansion of -1 in x 2.831 * [backup-simplify]: Simplify -1 into -1 2.831 * [taylor]: Taking taylor expansion of x in x 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 1 into 1 2.832 * [backup-simplify]: Simplify (/ -1 1) into -1 2.832 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.832 * [taylor]: Taking taylor expansion of 1 in x 2.832 * [backup-simplify]: Simplify 1 into 1 2.832 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.832 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.832 * [backup-simplify]: Simplify (+ 0 0) into 0 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify (+ 0 0) into 0 2.832 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 2.834 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.834 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 2.834 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 2.834 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.834 * [taylor]: Taking taylor expansion of (sin x) in x 2.834 * [taylor]: Taking taylor expansion of x in x 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 1 into 1 2.834 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.834 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.834 * [taylor]: Taking taylor expansion of (sin x) in x 2.834 * [taylor]: Taking taylor expansion of x in x 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 1 into 1 2.835 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.835 * [backup-simplify]: Simplify (* 1 1) into 1 2.835 * [backup-simplify]: Simplify 1 into 1 2.835 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.837 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.837 * [backup-simplify]: Simplify -1/3 into -1/3 2.838 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 2.842 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.842 * [backup-simplify]: Simplify 2/45 into 2/45 2.842 * [backup-simplify]: Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (pow x 2)))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) 2.842 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.842 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 2.842 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.842 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.842 * [taylor]: Taking taylor expansion of x in x 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.843 * [backup-simplify]: Simplify (/ 1 1) into 1 2.843 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.843 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.843 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.843 * [taylor]: Taking taylor expansion of x in x 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 1 into 1 2.843 * [backup-simplify]: Simplify (/ 1 1) into 1 2.843 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.843 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.843 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 2.843 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 2.847 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 2.847 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 2.847 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.847 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.847 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.847 * [taylor]: Taking taylor expansion of -1 in x 2.847 * [backup-simplify]: Simplify -1 into -1 2.847 * [taylor]: Taking taylor expansion of x in x 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify 1 into 1 2.848 * [backup-simplify]: Simplify (/ -1 1) into -1 2.848 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.848 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.848 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.848 * [taylor]: Taking taylor expansion of -1 in x 2.848 * [backup-simplify]: Simplify -1 into -1 2.848 * [taylor]: Taking taylor expansion of x in x 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify 1 into 1 2.848 * [backup-simplify]: Simplify (/ -1 1) into -1 2.848 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.848 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.848 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 2.849 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.850 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 2.853 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.853 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.853 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 2.853 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 2.853 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.853 * [taylor]: Taking taylor expansion of (sin x) in x 2.853 * [taylor]: Taking taylor expansion of x in x 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 1 into 1 2.853 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.853 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.853 * [taylor]: Taking taylor expansion of (cos x) in x 2.853 * [taylor]: Taking taylor expansion of x in x 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 1 into 1 2.853 * [taylor]: Taking taylor expansion of 1 in x 2.853 * [backup-simplify]: Simplify 1 into 1 2.854 * [backup-simplify]: Simplify (* 1 1) into 1 2.854 * [backup-simplify]: Simplify (+ 1 1) into 2 2.854 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.854 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 2.854 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.854 * [taylor]: Taking taylor expansion of (sin x) in x 2.854 * [taylor]: Taking taylor expansion of x in x 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 1 into 1 2.855 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.855 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.855 * [taylor]: Taking taylor expansion of (cos x) in x 2.855 * [taylor]: Taking taylor expansion of x in x 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 1 into 1 2.855 * [taylor]: Taking taylor expansion of 1 in x 2.855 * [backup-simplify]: Simplify 1 into 1 2.858 * [backup-simplify]: Simplify (* 1 1) into 1 2.858 * [backup-simplify]: Simplify (+ 1 1) into 2 2.859 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.859 * [backup-simplify]: Simplify 1/2 into 1/2 2.860 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.861 * [backup-simplify]: Simplify (+ 0) into 0 2.861 * [backup-simplify]: Simplify (+ 0 0) into 0 2.862 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 2.862 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.865 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.866 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.866 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.868 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 2.868 * [backup-simplify]: Simplify -1/24 into -1/24 2.869 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.871 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.871 * [backup-simplify]: Simplify (+ 0 0) into 0 2.872 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 2.872 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 2.875 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.876 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.877 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.878 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 2.878 * [backup-simplify]: Simplify 1/720 into 1/720 2.878 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 2.878 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.878 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 2.878 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 2.878 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.878 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.878 * [taylor]: Taking taylor expansion of x in x 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (/ 1 1) into 1 2.879 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.879 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.879 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.879 * [taylor]: Taking taylor expansion of x in x 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (/ 1 1) into 1 2.879 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.879 * [taylor]: Taking taylor expansion of 1 in x 2.879 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.879 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.879 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.879 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 2.879 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.879 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.879 * [taylor]: Taking taylor expansion of x in x 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 1 into 1 2.880 * [backup-simplify]: Simplify (/ 1 1) into 1 2.880 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.880 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.880 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.880 * [taylor]: Taking taylor expansion of x in x 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 1 into 1 2.880 * [backup-simplify]: Simplify (/ 1 1) into 1 2.880 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.880 * [taylor]: Taking taylor expansion of 1 in x 2.880 * [backup-simplify]: Simplify 1 into 1 2.880 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.880 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.880 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.881 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.881 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.881 * [backup-simplify]: Simplify (+ 0 0) into 0 2.881 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.882 * [backup-simplify]: Simplify (+ 0 0) into 0 2.882 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.883 * [backup-simplify]: Simplify (+ 0 0) into 0 2.883 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.884 * [backup-simplify]: Simplify (+ 0 0) into 0 2.884 * [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 2.884 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.886 * [backup-simplify]: Simplify (+ 0 0) into 0 2.886 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.886 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.887 * [backup-simplify]: Simplify (+ 0 0) into 0 2.888 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.888 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.888 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 2.888 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 2.888 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.888 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.888 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.888 * [taylor]: Taking taylor expansion of -1 in x 2.888 * [backup-simplify]: Simplify -1 into -1 2.888 * [taylor]: Taking taylor expansion of x in x 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.889 * [backup-simplify]: Simplify (/ -1 1) into -1 2.889 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.889 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.889 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.889 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.889 * [taylor]: Taking taylor expansion of -1 in x 2.889 * [backup-simplify]: Simplify -1 into -1 2.889 * [taylor]: Taking taylor expansion of x in x 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 1 into 1 2.889 * [backup-simplify]: Simplify (/ -1 1) into -1 2.889 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.889 * [taylor]: Taking taylor expansion of 1 in x 2.889 * [backup-simplify]: Simplify 1 into 1 2.889 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.889 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.889 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.889 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 2.889 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.889 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.889 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.889 * [taylor]: Taking taylor expansion of -1 in x 2.889 * [backup-simplify]: Simplify -1 into -1 2.889 * [taylor]: Taking taylor expansion of x in x 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (/ -1 1) into -1 2.890 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.890 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.890 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.890 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.890 * [taylor]: Taking taylor expansion of -1 in x 2.890 * [backup-simplify]: Simplify -1 into -1 2.890 * [taylor]: Taking taylor expansion of x in x 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (/ -1 1) into -1 2.890 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.890 * [taylor]: Taking taylor expansion of 1 in x 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.890 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.891 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.891 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.891 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.891 * [backup-simplify]: Simplify (+ 0 0) into 0 2.891 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.892 * [backup-simplify]: Simplify (+ 0 0) into 0 2.892 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.893 * [backup-simplify]: Simplify (+ 0 0) into 0 2.893 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.894 * [backup-simplify]: Simplify (+ 0 0) into 0 2.895 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.896 * [backup-simplify]: Simplify (+ 0 0) into 0 2.896 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.896 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.898 * [backup-simplify]: Simplify (+ 0 0) into 0 2.899 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.899 * * * [progress]: simplifying candidates 2.900 * * * * [progress]: [ 1 / 138 ] simplifiying candidate # 2.900 * * * * [progress]: [ 2 / 138 ] simplifiying candidate # 2.900 * * * * [progress]: [ 3 / 138 ] simplifiying candidate # 2.900 * * * * [progress]: [ 4 / 138 ] simplifiying candidate # 2.900 * * * * [progress]: [ 5 / 138 ] simplifiying candidate # 2.900 * * * * [progress]: [ 6 / 138 ] simplifiying candidate # 2.900 * * * * [progress]: [ 7 / 138 ] simplifiying candidate # 2.900 * * * * [progress]: [ 8 / 138 ] simplifiying candidate # 2.900 * * * * [progress]: [ 9 / 138 ] simplifiying candidate # 2.900 * * * * [progress]: [ 10 / 138 ] simplifiying candidate # 2.900 * * * * [progress]: [ 11 / 138 ] simplifiying candidate # 2.900 * * * * [progress]: [ 12 / 138 ] simplifiying candidate # 2.900 * * * * [progress]: [ 13 / 138 ] simplifiying candidate # 2.900 * * * * [progress]: [ 14 / 138 ] simplifiying candidate # 2.901 * * * * [progress]: [ 15 / 138 ] simplifiying candidate # 2.901 * * * * [progress]: [ 16 / 138 ] simplifiying candidate # 2.901 * * * * [progress]: [ 17 / 138 ] simplifiying candidate # 2.901 * * * * [progress]: [ 18 / 138 ] simplifiying candidate # 2.901 * * * * [progress]: [ 19 / 138 ] simplifiying candidate # 2.901 * * * * [progress]: [ 20 / 138 ] simplifiying candidate # 2.901 * * * * [progress]: [ 21 / 138 ] simplifiying candidate # 2.901 * * * * [progress]: [ 22 / 138 ] simplifiying candidate # 2.901 * * * * [progress]: [ 23 / 138 ] simplifiying candidate # 2.901 * * * * [progress]: [ 24 / 138 ] simplifiying candidate # 2.901 * * * * [progress]: [ 25 / 138 ] simplifiying candidate # 2.901 * * * * [progress]: [ 26 / 138 ] simplifiying candidate # 2.901 * * * * [progress]: [ 27 / 138 ] simplifiying candidate # 2.901 * * * * [progress]: [ 28 / 138 ] simplifiying candidate # 2.902 * * * * [progress]: [ 29 / 138 ] simplifiying candidate # 2.902 * * * * [progress]: [ 30 / 138 ] simplifiying candidate # 2.902 * * * * [progress]: [ 31 / 138 ] simplifiying candidate # 2.902 * * * * [progress]: [ 32 / 138 ] simplifiying candidate # 2.902 * * * * [progress]: [ 33 / 138 ] simplifiying candidate # 2.902 * * * * [progress]: [ 34 / 138 ] simplifiying candidate # 2.902 * * * * [progress]: [ 35 / 138 ] simplifiying candidate # 2.902 * * * * [progress]: [ 36 / 138 ] simplifiying candidate # 2.902 * * * * [progress]: [ 37 / 138 ] simplifiying candidate # 2.902 * * * * [progress]: [ 38 / 138 ] simplifiying candidate # 2.902 * * * * [progress]: [ 39 / 138 ] simplifiying candidate # 2.902 * * * * [progress]: [ 40 / 138 ] simplifiying candidate # 2.902 * * * * [progress]: [ 41 / 138 ] simplifiying candidate # 2.902 * * * * [progress]: [ 42 / 138 ] simplifiying candidate # 2.902 * * * * [progress]: [ 43 / 138 ] simplifiying candidate # 2.902 * * * * [progress]: [ 44 / 138 ] simplifiying candidate # 2.903 * * * * [progress]: [ 45 / 138 ] simplifiying candidate # 2.903 * * * * [progress]: [ 46 / 138 ] simplifiying candidate # 2.903 * * * * [progress]: [ 47 / 138 ] simplifiying candidate # 2.903 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 2.903 * * * * [progress]: [ 49 / 138 ] simplifiying candidate # 2.903 * * * * [progress]: [ 50 / 138 ] simplifiying candidate # 2.903 * * * * [progress]: [ 51 / 138 ] simplifiying candidate # 2.903 * * * * [progress]: [ 52 / 138 ] simplifiying candidate # 2.903 * * * * [progress]: [ 53 / 138 ] simplifiying candidate # 2.903 * * * * [progress]: [ 54 / 138 ] simplifiying candidate # 2.903 * * * * [progress]: [ 55 / 138 ] simplifiying candidate # 2.903 * * * * [progress]: [ 56 / 138 ] simplifiying candidate # 2.903 * * * * [progress]: [ 57 / 138 ] simplifiying candidate # 2.903 * * * * [progress]: [ 58 / 138 ] simplifiying candidate # 2.903 * * * * [progress]: [ 59 / 138 ] simplifiying candidate # 2.903 * * * * [progress]: [ 60 / 138 ] simplifiying candidate # 2.903 * * * * [progress]: [ 61 / 138 ] simplifiying candidate # 2.903 * * * * [progress]: [ 62 / 138 ] simplifiying candidate # 2.904 * * * * [progress]: [ 63 / 138 ] simplifiying candidate # 2.904 * * * * [progress]: [ 64 / 138 ] simplifiying candidate # 2.904 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 2.904 * * * * [progress]: [ 66 / 138 ] simplifiying candidate # 2.904 * * * * [progress]: [ 67 / 138 ] simplifiying candidate # 2.904 * * * * [progress]: [ 68 / 138 ] simplifiying candidate # 2.904 * * * * [progress]: [ 69 / 138 ] simplifiying candidate # 2.904 * * * * [progress]: [ 70 / 138 ] simplifiying candidate # 2.904 * * * * [progress]: [ 71 / 138 ] simplifiying candidate # 2.904 * * * * [progress]: [ 72 / 138 ] simplifiying candidate # 2.904 * * * * [progress]: [ 73 / 138 ] simplifiying candidate # 2.904 * * * * [progress]: [ 74 / 138 ] simplifiying candidate # 2.904 * * * * [progress]: [ 75 / 138 ] simplifiying candidate # 2.904 * * * * [progress]: [ 76 / 138 ] simplifiying candidate # 2.904 * * * * [progress]: [ 77 / 138 ] simplifiying candidate # 2.904 * * * * [progress]: [ 78 / 138 ] simplifiying candidate # 2.904 * * * * [progress]: [ 79 / 138 ] simplifiying candidate # 2.904 * * * * [progress]: [ 80 / 138 ] simplifiying candidate # 2.905 * * * * [progress]: [ 81 / 138 ] simplifiying candidate # 2.905 * * * * [progress]: [ 82 / 138 ] simplifiying candidate # 2.905 * * * * [progress]: [ 83 / 138 ] simplifiying candidate # 2.905 * * * * [progress]: [ 84 / 138 ] simplifiying candidate # 2.905 * * * * [progress]: [ 85 / 138 ] simplifiying candidate # 2.905 * * * * [progress]: [ 86 / 138 ] simplifiying candidate # 2.905 * * * * [progress]: [ 87 / 138 ] simplifiying candidate # 2.905 * * * * [progress]: [ 88 / 138 ] simplifiying candidate # 2.905 * * * * [progress]: [ 89 / 138 ] simplifiying candidate # 2.905 * * * * [progress]: [ 90 / 138 ] simplifiying candidate # 2.905 * * * * [progress]: [ 91 / 138 ] simplifiying candidate # 2.905 * * * * [progress]: [ 92 / 138 ] simplifiying candidate # 2.905 * * * * [progress]: [ 93 / 138 ] simplifiying candidate # 2.905 * * * * [progress]: [ 94 / 138 ] simplifiying candidate # 2.905 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 2.905 * * * * [progress]: [ 96 / 138 ] simplifiying candidate # 2.905 * * * * [progress]: [ 97 / 138 ] simplifiying candidate # 2.906 * * * * [progress]: [ 98 / 138 ] simplifiying candidate # 2.906 * * * * [progress]: [ 99 / 138 ] simplifiying candidate # 2.906 * * * * [progress]: [ 100 / 138 ] simplifiying candidate # 2.906 * * * * [progress]: [ 101 / 138 ] simplifiying candidate # 2.906 * * * * [progress]: [ 102 / 138 ] simplifiying candidate # 2.906 * * * * [progress]: [ 103 / 138 ] simplifiying candidate # 2.906 * * * * [progress]: [ 104 / 138 ] simplifiying candidate # 2.906 * * * * [progress]: [ 105 / 138 ] simplifiying candidate # 2.906 * * * * [progress]: [ 106 / 138 ] simplifiying candidate # 2.906 * * * * [progress]: [ 107 / 138 ] simplifiying candidate # 2.906 * * * * [progress]: [ 108 / 138 ] simplifiying candidate # 2.906 * * * * [progress]: [ 109 / 138 ] simplifiying candidate # 2.906 * * * * [progress]: [ 110 / 138 ] simplifiying candidate # 2.906 * * * * [progress]: [ 111 / 138 ] simplifiying candidate # 2.906 * * * * [progress]: [ 112 / 138 ] simplifiying candidate # 2.906 * * * * [progress]: [ 113 / 138 ] simplifiying candidate # 2.907 * * * * [progress]: [ 114 / 138 ] simplifiying candidate # 2.907 * * * * [progress]: [ 115 / 138 ] simplifiying candidate # 2.907 * * * * [progress]: [ 116 / 138 ] simplifiying candidate # 2.907 * * * * [progress]: [ 117 / 138 ] simplifiying candidate # 2.907 * * * * [progress]: [ 118 / 138 ] simplifiying candidate # 2.907 * * * * [progress]: [ 119 / 138 ] simplifiying candidate # 2.907 * * * * [progress]: [ 120 / 138 ] simplifiying candidate # 2.907 * * * * [progress]: [ 121 / 138 ] simplifiying candidate # 2.907 * * * * [progress]: [ 122 / 138 ] simplifiying candidate # 2.907 * * * * [progress]: [ 123 / 138 ] simplifiying candidate # 2.907 * * * * [progress]: [ 124 / 138 ] simplifiying candidate # 2.907 * * * * [progress]: [ 125 / 138 ] simplifiying candidate # 2.907 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 2.907 * * * * [progress]: [ 127 / 138 ] simplifiying candidate # 2.907 * * * * [progress]: [ 128 / 138 ] simplifiying candidate # 2.907 * * * * [progress]: [ 129 / 138 ] simplifiying candidate # 2.907 * * * * [progress]: [ 130 / 138 ] simplifiying candidate # 2.907 * * * * [progress]: [ 131 / 138 ] simplifiying candidate # 2.908 * * * * [progress]: [ 132 / 138 ] simplifiying candidate # 2.908 * * * * [progress]: [ 133 / 138 ] simplifiying candidate # 2.908 * * * * [progress]: [ 134 / 138 ] simplifiying candidate # 2.908 * * * * [progress]: [ 135 / 138 ] simplifiying candidate # 2.908 * * * * [progress]: [ 136 / 138 ] simplifiying candidate # 2.908 * * * * [progress]: [ 137 / 138 ] simplifiying candidate # 2.908 * * * * [progress]: [ 138 / 138 ] simplifiying candidate # 2.910 * [simplify]: Simplifying: (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x))) (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x)) (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x)) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos 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(+ 1 (cos x)))) (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* (sin x) (sin x))) (- (+ 1 (cos x))) (/ 1/2 (+ 1 (cos x))) (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ 1 (+ 1 (cos x))) (/ (+ 1 (cos x)) (* (sin x) (sin x))) (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (/ (* (sin x) (sin x)) 1) (/ (* (sin x) (sin x)) 1) (/ (+ 1 (cos x)) (sin x)) (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (* (+ 1 (cos x)) 2) (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) (+ (cos x) 1) (+ (cos x) 1) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (/ (pow (sin x) 2) (+ (cos x) 1)) (/ (pow (sin x) 2) (+ (cos x) 1)) 2.914 * * [simplify]: iteration 1: (190 enodes) 3.006 * * [simplify]: iteration 2: (512 enodes) 3.384 * * [simplify]: iteration 3: (1861 enodes) 10.178 * * [simplify]: Extracting #0: cost 101 inf + 0 10.183 * * [simplify]: Extracting #1: cost 1298 inf + 2 10.210 * * [simplify]: Extracting #2: cost 2390 inf + 42523 10.286 * * [simplify]: Extracting #3: cost 935 inf + 455771 10.433 * * [simplify]: Extracting #4: cost 40 inf + 727061 10.578 * * [simplify]: Extracting #5: cost 0 inf + 728979 10.746 * * [simplify]: Extracting #6: cost 0 inf + 727499 10.960 * [simplify]: Simplified to: (expm1 (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log1p (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (exp (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) 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1)) (sin x))) (* (sin x) (sin x)) (* (sin x) (sin x)) (/ (+ (cos x) 1) (sin x)) (- (/ 1 (fma (cos x) (* (cos x) (cos x)) 1)) (/ (* (cos x) (cos x)) (fma (cos x) (* (cos x) (cos x)) 1))) 1 (fma 2 (cos x) 2) (real->posit16 (* (tan (/ x 2)) (sin x))) (fma -1/24 (* x x) (fma (* (* x x) (* x x)) 1/720 1/2)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (fma -1/2 (* x x) (fma (* x x) (* 1/24 (* x x)) 2)) (+ (cos x) 1) (+ (cos x) 1) (fma -1/3 (* (* x x) (* x x)) (fma (* (* x (* x x)) (* x (* x x))) 2/45 (* x x))) (* (sin x) (sin x)) (* (sin x) (sin x)) (fma (* (* x (* x x)) (* x (* x x))) 1/720 (* (* x x) (+ (* (* x x) -1/24) 1/2))) (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x)) 10.967 * * * [progress]: adding candidates to table 12.185 * * [progress]: iteration 3 / 4 12.185 * * * [progress]: picking best candidate 12.199 * * * * [pick]: Picked # 12.199 * * * [progress]: localizing error 12.220 * * * [progress]: generating rewritten candidates 12.220 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 12.228 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 12.237 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 12.255 * * * [progress]: generating series expansions 12.255 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 12.256 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 12.256 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 12.256 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 12.256 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 12.257 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 12.257 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 12.257 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.257 * [taylor]: Taking taylor expansion of 1/2 in x 12.257 * [backup-simplify]: Simplify 1/2 into 1/2 12.257 * [taylor]: Taking taylor expansion of x in x 12.257 * [backup-simplify]: Simplify 0 into 0 12.257 * [backup-simplify]: Simplify 1 into 1 12.257 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.258 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.258 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 12.258 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.258 * [taylor]: Taking taylor expansion of 1/2 in x 12.258 * [backup-simplify]: Simplify 1/2 into 1/2 12.258 * [taylor]: Taking taylor expansion of x in x 12.258 * [backup-simplify]: Simplify 0 into 0 12.258 * [backup-simplify]: Simplify 1 into 1 12.258 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.259 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.259 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 12.259 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.259 * [taylor]: Taking taylor expansion of x in x 12.259 * [backup-simplify]: Simplify 0 into 0 12.259 * [backup-simplify]: Simplify 1 into 1 12.260 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.260 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 12.260 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 12.260 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 12.260 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 12.260 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.260 * [taylor]: Taking taylor expansion of 1/2 in x 12.260 * [backup-simplify]: Simplify 1/2 into 1/2 12.260 * [taylor]: Taking taylor expansion of x in x 12.260 * [backup-simplify]: Simplify 0 into 0 12.260 * [backup-simplify]: Simplify 1 into 1 12.260 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.261 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.261 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 12.261 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.261 * [taylor]: Taking taylor expansion of 1/2 in x 12.261 * [backup-simplify]: Simplify 1/2 into 1/2 12.261 * [taylor]: Taking taylor expansion of x in x 12.261 * [backup-simplify]: Simplify 0 into 0 12.261 * [backup-simplify]: Simplify 1 into 1 12.261 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.261 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.262 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 12.262 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.262 * [taylor]: Taking taylor expansion of x in x 12.262 * [backup-simplify]: Simplify 0 into 0 12.262 * [backup-simplify]: Simplify 1 into 1 12.262 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.262 * [backup-simplify]: Simplify 1/2 into 1/2 12.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.264 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.265 * [backup-simplify]: Simplify (+ 0) into 0 12.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.267 * [backup-simplify]: Simplify 0 into 0 12.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.269 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 12.270 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 12.272 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 12.273 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 12.273 * [backup-simplify]: Simplify 1/24 into 1/24 12.275 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.276 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.279 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 12.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 12.280 * [backup-simplify]: Simplify 0 into 0 12.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.283 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 12.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 12.286 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 12.287 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 12.287 * [backup-simplify]: Simplify 1/240 into 1/240 12.287 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 4)) (+ (* 1/24 (pow x 2)) 1/2)) into (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) 12.287 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 12.287 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 12.287 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 12.287 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 12.287 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.288 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 12.288 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.288 * [taylor]: Taking taylor expansion of 1/2 in x 12.288 * [backup-simplify]: Simplify 1/2 into 1/2 12.288 * [taylor]: Taking taylor expansion of x in x 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify 1 into 1 12.288 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.288 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 12.288 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 12.288 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.288 * [taylor]: Taking taylor expansion of 1/2 in x 12.288 * [backup-simplify]: Simplify 1/2 into 1/2 12.288 * [taylor]: Taking taylor expansion of x in x 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify 1 into 1 12.288 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.288 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 12.288 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.288 * [taylor]: Taking taylor expansion of x in x 12.288 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 1 into 1 12.289 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 12.289 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 12.289 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.289 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 12.289 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.289 * [taylor]: Taking taylor expansion of 1/2 in x 12.289 * [backup-simplify]: Simplify 1/2 into 1/2 12.289 * [taylor]: Taking taylor expansion of x in x 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 1 into 1 12.289 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.289 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 12.289 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 12.289 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.289 * [taylor]: Taking taylor expansion of 1/2 in x 12.289 * [backup-simplify]: Simplify 1/2 into 1/2 12.289 * [taylor]: Taking taylor expansion of x in x 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 1 into 1 12.290 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.290 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 12.290 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.290 * [taylor]: Taking taylor expansion of x in x 12.290 * [backup-simplify]: Simplify 0 into 0 12.290 * [backup-simplify]: Simplify 1 into 1 12.290 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 12.290 * [backup-simplify]: Simplify 0 into 0 12.290 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 12.291 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.291 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.291 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.291 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 12.291 * [backup-simplify]: Simplify 0 into 0 12.292 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.292 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.292 * [backup-simplify]: Simplify 0 into 0 12.292 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.293 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.293 * [backup-simplify]: Simplify 0 into 0 12.293 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.294 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.294 * [backup-simplify]: Simplify 0 into 0 12.294 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.295 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.295 * [backup-simplify]: Simplify 0 into 0 12.295 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.296 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 12.296 * [backup-simplify]: Simplify 0 into 0 12.296 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 12.297 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 12.297 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 12.297 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 12.297 * [taylor]: Taking taylor expansion of -1 in x 12.297 * [backup-simplify]: Simplify -1 into -1 12.297 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 12.297 * [taylor]: Taking taylor expansion of x in x 12.297 * [backup-simplify]: Simplify 0 into 0 12.297 * [backup-simplify]: Simplify 1 into 1 12.297 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 12.297 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.297 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 12.297 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.297 * [taylor]: Taking taylor expansion of -1/2 in x 12.297 * [backup-simplify]: Simplify -1/2 into -1/2 12.297 * [taylor]: Taking taylor expansion of x in x 12.297 * [backup-simplify]: Simplify 0 into 0 12.297 * [backup-simplify]: Simplify 1 into 1 12.297 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.297 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 12.297 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 12.297 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.297 * [taylor]: Taking taylor expansion of -1/2 in x 12.297 * [backup-simplify]: Simplify -1/2 into -1/2 12.297 * [taylor]: Taking taylor expansion of x in x 12.297 * [backup-simplify]: Simplify 0 into 0 12.297 * [backup-simplify]: Simplify 1 into 1 12.297 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.298 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 12.298 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.298 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 12.298 * [taylor]: Taking taylor expansion of -1 in x 12.298 * [backup-simplify]: Simplify -1 into -1 12.298 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 12.298 * [taylor]: Taking taylor expansion of x in x 12.298 * [backup-simplify]: Simplify 0 into 0 12.298 * [backup-simplify]: Simplify 1 into 1 12.298 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 12.298 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.298 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 12.298 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.298 * [taylor]: Taking taylor expansion of -1/2 in x 12.298 * [backup-simplify]: Simplify -1/2 into -1/2 12.298 * [taylor]: Taking taylor expansion of x in x 12.298 * [backup-simplify]: Simplify 0 into 0 12.298 * [backup-simplify]: Simplify 1 into 1 12.298 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.298 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 12.298 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 12.298 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.298 * [taylor]: Taking taylor expansion of -1/2 in x 12.298 * [backup-simplify]: Simplify -1/2 into -1/2 12.298 * [taylor]: Taking taylor expansion of x in x 12.298 * [backup-simplify]: Simplify 0 into 0 12.298 * [backup-simplify]: Simplify 1 into 1 12.299 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.299 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 12.299 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.299 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 12.299 * [backup-simplify]: Simplify (* -1 0) into 0 12.299 * [backup-simplify]: Simplify 0 into 0 12.299 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 12.300 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.300 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 12.300 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 12.300 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.301 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 12.301 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 12.301 * [backup-simplify]: Simplify 0 into 0 12.302 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 12.303 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 12.303 * [backup-simplify]: Simplify 0 into 0 12.303 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 12.305 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 12.305 * [backup-simplify]: Simplify 0 into 0 12.306 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.307 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 12.309 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 12.309 * [backup-simplify]: Simplify 0 into 0 12.310 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 12.315 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))))) into 0 12.315 * [backup-simplify]: Simplify 0 into 0 12.316 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0 12.321 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))))) into 0 12.321 * [backup-simplify]: Simplify 0 into 0 12.322 * [backup-simplify]: Simplify (* (- (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 12.322 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 12.322 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 12.322 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 12.322 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 12.322 * [taylor]: Taking taylor expansion of (sin x) in x 12.322 * [taylor]: Taking taylor expansion of x in x 12.322 * [backup-simplify]: Simplify 0 into 0 12.322 * [backup-simplify]: Simplify 1 into 1 12.322 * [taylor]: Taking taylor expansion of x in x 12.322 * [backup-simplify]: Simplify 0 into 0 12.322 * [backup-simplify]: Simplify 1 into 1 12.323 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 12.323 * [backup-simplify]: Simplify (/ 1 1) into 1 12.323 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 12.323 * [taylor]: Taking taylor expansion of (sin x) in x 12.323 * [taylor]: Taking taylor expansion of x in x 12.323 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify 1 into 1 12.324 * [taylor]: Taking taylor expansion of x in x 12.324 * [backup-simplify]: Simplify 0 into 0 12.324 * [backup-simplify]: Simplify 1 into 1 12.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 12.325 * [backup-simplify]: Simplify (/ 1 1) into 1 12.325 * [backup-simplify]: Simplify 1 into 1 12.326 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 12.327 * [backup-simplify]: Simplify 0 into 0 12.328 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 12.329 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 12.329 * [backup-simplify]: Simplify -1/6 into -1/6 12.331 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 12.332 * [backup-simplify]: Simplify 0 into 0 12.336 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 12.337 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 12.337 * [backup-simplify]: Simplify 1/120 into 1/120 12.337 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) 12.338 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 12.338 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 12.338 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 12.338 * [taylor]: Taking taylor expansion of x in x 12.338 * [backup-simplify]: Simplify 0 into 0 12.338 * [backup-simplify]: Simplify 1 into 1 12.338 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 12.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.338 * [taylor]: Taking taylor expansion of x in x 12.338 * [backup-simplify]: Simplify 0 into 0 12.338 * [backup-simplify]: Simplify 1 into 1 12.338 * [backup-simplify]: Simplify (/ 1 1) into 1 12.338 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.338 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 12.338 * [taylor]: Taking taylor expansion of x in x 12.338 * [backup-simplify]: Simplify 0 into 0 12.339 * [backup-simplify]: Simplify 1 into 1 12.339 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 12.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.339 * [taylor]: Taking taylor expansion of x in x 12.339 * [backup-simplify]: Simplify 0 into 0 12.339 * [backup-simplify]: Simplify 1 into 1 12.339 * [backup-simplify]: Simplify (/ 1 1) into 1 12.339 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.339 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 12.340 * [backup-simplify]: Simplify 0 into 0 12.340 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 12.340 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 12.341 * [backup-simplify]: Simplify 0 into 0 12.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 12.342 * [backup-simplify]: Simplify 0 into 0 12.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 12.344 * [backup-simplify]: Simplify 0 into 0 12.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 12.352 * [backup-simplify]: Simplify 0 into 0 12.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 12.354 * [backup-simplify]: Simplify 0 into 0 12.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 12.357 * [backup-simplify]: Simplify 0 into 0 12.357 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 12.357 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 12.357 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 12.357 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 12.358 * [taylor]: Taking taylor expansion of -1 in x 12.358 * [backup-simplify]: Simplify -1 into -1 12.358 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 12.358 * [taylor]: Taking taylor expansion of x in x 12.358 * [backup-simplify]: Simplify 0 into 0 12.358 * [backup-simplify]: Simplify 1 into 1 12.358 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 12.358 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.358 * [taylor]: Taking taylor expansion of -1 in x 12.358 * [backup-simplify]: Simplify -1 into -1 12.358 * [taylor]: Taking taylor expansion of x in x 12.358 * [backup-simplify]: Simplify 0 into 0 12.358 * [backup-simplify]: Simplify 1 into 1 12.358 * [backup-simplify]: Simplify (/ -1 1) into -1 12.358 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 12.358 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 12.358 * [taylor]: Taking taylor expansion of -1 in x 12.358 * [backup-simplify]: Simplify -1 into -1 12.359 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 12.359 * [taylor]: Taking taylor expansion of x in x 12.359 * [backup-simplify]: Simplify 0 into 0 12.359 * [backup-simplify]: Simplify 1 into 1 12.359 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 12.359 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.359 * [taylor]: Taking taylor expansion of -1 in x 12.359 * [backup-simplify]: Simplify -1 into -1 12.359 * [taylor]: Taking taylor expansion of x in x 12.359 * [backup-simplify]: Simplify 0 into 0 12.359 * [backup-simplify]: Simplify 1 into 1 12.359 * [backup-simplify]: Simplify (/ -1 1) into -1 12.359 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 12.359 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 12.360 * [backup-simplify]: Simplify (* -1 0) into 0 12.360 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 12.361 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 12.361 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 12.362 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 12.363 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 12.363 * [backup-simplify]: Simplify 0 into 0 12.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 12.365 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 12.365 * [backup-simplify]: Simplify 0 into 0 12.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 12.369 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 12.369 * [backup-simplify]: Simplify 0 into 0 12.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 12.373 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 12.373 * [backup-simplify]: Simplify 0 into 0 12.375 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 12.378 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 12.378 * [backup-simplify]: Simplify 0 into 0 12.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 12.383 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 12.383 * * * * [progress]: [ 3 / 3 ] generating series at (2) 12.384 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 12.384 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 12.384 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 12.384 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 12.384 * [taylor]: Taking taylor expansion of (sin x) in x 12.384 * [taylor]: Taking taylor expansion of x in x 12.384 * [backup-simplify]: Simplify 0 into 0 12.384 * [backup-simplify]: Simplify 1 into 1 12.384 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 12.384 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 12.384 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 12.384 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.384 * [taylor]: Taking taylor expansion of 1/2 in x 12.384 * [backup-simplify]: Simplify 1/2 into 1/2 12.384 * [taylor]: Taking taylor expansion of x in x 12.384 * [backup-simplify]: Simplify 0 into 0 12.384 * [backup-simplify]: Simplify 1 into 1 12.385 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.385 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.386 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 12.386 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.386 * [taylor]: Taking taylor expansion of 1/2 in x 12.386 * [backup-simplify]: Simplify 1/2 into 1/2 12.386 * [taylor]: Taking taylor expansion of x in x 12.386 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify 1 into 1 12.386 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.387 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.388 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 12.389 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.389 * [taylor]: Taking taylor expansion of x in x 12.389 * [backup-simplify]: Simplify 0 into 0 12.389 * [backup-simplify]: Simplify 1 into 1 12.390 * [backup-simplify]: Simplify (* 0 1/2) into 0 12.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.392 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.392 * [backup-simplify]: Simplify (+ 0) into 0 12.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.394 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 12.395 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 12.395 * [backup-simplify]: Simplify (* 1 1) into 1 12.396 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.396 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 12.396 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 12.396 * [taylor]: Taking taylor expansion of (sin x) in x 12.396 * [taylor]: Taking taylor expansion of x in x 12.396 * [backup-simplify]: Simplify 0 into 0 12.396 * [backup-simplify]: Simplify 1 into 1 12.396 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 12.396 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 12.396 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 12.396 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.396 * [taylor]: Taking taylor expansion of 1/2 in x 12.396 * [backup-simplify]: Simplify 1/2 into 1/2 12.396 * [taylor]: Taking taylor expansion of x in x 12.396 * [backup-simplify]: Simplify 0 into 0 12.396 * [backup-simplify]: Simplify 1 into 1 12.396 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.397 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.397 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 12.397 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.397 * [taylor]: Taking taylor expansion of 1/2 in x 12.397 * [backup-simplify]: Simplify 1/2 into 1/2 12.397 * [taylor]: Taking taylor expansion of x in x 12.397 * [backup-simplify]: Simplify 0 into 0 12.397 * [backup-simplify]: Simplify 1 into 1 12.398 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.399 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.399 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 12.400 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.400 * [taylor]: Taking taylor expansion of x in x 12.400 * [backup-simplify]: Simplify 0 into 0 12.400 * [backup-simplify]: Simplify 1 into 1 12.400 * [backup-simplify]: Simplify (* 0 1/2) into 0 12.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.402 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.402 * [backup-simplify]: Simplify (+ 0) into 0 12.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.404 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 12.405 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 12.405 * [backup-simplify]: Simplify (* 1 1) into 1 12.405 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.406 * [backup-simplify]: Simplify 1/2 into 1/2 12.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.408 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 12.409 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 12.411 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 12.412 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.413 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 12.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.414 * [backup-simplify]: Simplify 0 into 0 12.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.417 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.419 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 12.422 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 12.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 12.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.426 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 12.426 * [backup-simplify]: Simplify -1/24 into -1/24 12.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.431 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 12.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.435 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 12.437 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 12.439 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.441 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 12.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 12.443 * [backup-simplify]: Simplify 0 into 0 12.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.449 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.453 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 12.459 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 12.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 12.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.464 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 12.464 * [backup-simplify]: Simplify 1/720 into 1/720 12.464 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 12.464 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 12.465 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 12.465 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 12.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.465 * [taylor]: Taking taylor expansion of x in x 12.465 * [backup-simplify]: Simplify 0 into 0 12.465 * [backup-simplify]: Simplify 1 into 1 12.465 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 12.465 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 12.465 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.465 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 12.465 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.465 * [taylor]: Taking taylor expansion of 1/2 in x 12.465 * [backup-simplify]: Simplify 1/2 into 1/2 12.465 * [taylor]: Taking taylor expansion of x in x 12.465 * [backup-simplify]: Simplify 0 into 0 12.465 * [backup-simplify]: Simplify 1 into 1 12.465 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.466 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 12.466 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 12.466 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.466 * [taylor]: Taking taylor expansion of 1/2 in x 12.466 * [backup-simplify]: Simplify 1/2 into 1/2 12.466 * [taylor]: Taking taylor expansion of x in x 12.466 * [backup-simplify]: Simplify 0 into 0 12.466 * [backup-simplify]: Simplify 1 into 1 12.466 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.466 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 12.466 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.466 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 12.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.466 * [taylor]: Taking taylor expansion of x in x 12.466 * [backup-simplify]: Simplify 0 into 0 12.467 * [backup-simplify]: Simplify 1 into 1 12.467 * [backup-simplify]: Simplify (/ 1 1) into 1 12.467 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.467 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 12.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.467 * [taylor]: Taking taylor expansion of x in x 12.467 * [backup-simplify]: Simplify 0 into 0 12.467 * [backup-simplify]: Simplify 1 into 1 12.467 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 12.467 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 12.467 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.467 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 12.467 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.467 * [taylor]: Taking taylor expansion of 1/2 in x 12.467 * [backup-simplify]: Simplify 1/2 into 1/2 12.467 * [taylor]: Taking taylor expansion of x in x 12.467 * [backup-simplify]: Simplify 0 into 0 12.467 * [backup-simplify]: Simplify 1 into 1 12.468 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.468 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 12.468 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 12.468 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.468 * [taylor]: Taking taylor expansion of 1/2 in x 12.468 * [backup-simplify]: Simplify 1/2 into 1/2 12.468 * [taylor]: Taking taylor expansion of x in x 12.468 * [backup-simplify]: Simplify 0 into 0 12.468 * [backup-simplify]: Simplify 1 into 1 12.468 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.469 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 12.469 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.469 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 12.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.469 * [taylor]: Taking taylor expansion of x in x 12.469 * [backup-simplify]: Simplify 0 into 0 12.469 * [backup-simplify]: Simplify 1 into 1 12.469 * [backup-simplify]: Simplify (/ 1 1) into 1 12.469 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.470 * [backup-simplify]: Simplify (* 1 1) into 1 12.470 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 12.470 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 12.470 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 12.471 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 12.471 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 12.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 12.472 * [backup-simplify]: Simplify 0 into 0 12.473 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.473 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 12.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 12.475 * [backup-simplify]: Simplify 0 into 0 12.476 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.476 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 12.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 12.479 * [backup-simplify]: Simplify 0 into 0 12.479 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.481 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 12.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 12.484 * [backup-simplify]: Simplify 0 into 0 12.484 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.486 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 12.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 12.489 * [backup-simplify]: Simplify 0 into 0 12.490 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.492 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 12.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 12.501 * [backup-simplify]: Simplify 0 into 0 12.502 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 12.502 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) 12.502 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 12.502 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 12.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.502 * [taylor]: Taking taylor expansion of x in x 12.502 * [backup-simplify]: Simplify 0 into 0 12.502 * [backup-simplify]: Simplify 1 into 1 12.502 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 12.502 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 12.502 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.502 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 12.502 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.503 * [taylor]: Taking taylor expansion of -1/2 in x 12.503 * [backup-simplify]: Simplify -1/2 into -1/2 12.503 * [taylor]: Taking taylor expansion of x in x 12.503 * [backup-simplify]: Simplify 0 into 0 12.503 * [backup-simplify]: Simplify 1 into 1 12.503 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.503 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 12.503 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 12.503 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.503 * [taylor]: Taking taylor expansion of -1/2 in x 12.503 * [backup-simplify]: Simplify -1/2 into -1/2 12.503 * [taylor]: Taking taylor expansion of x in x 12.503 * [backup-simplify]: Simplify 0 into 0 12.503 * [backup-simplify]: Simplify 1 into 1 12.504 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.504 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 12.504 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.504 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 12.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.504 * [taylor]: Taking taylor expansion of -1 in x 12.504 * [backup-simplify]: Simplify -1 into -1 12.504 * [taylor]: Taking taylor expansion of x in x 12.504 * [backup-simplify]: Simplify 0 into 0 12.504 * [backup-simplify]: Simplify 1 into 1 12.505 * [backup-simplify]: Simplify (/ -1 1) into -1 12.505 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 12.505 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 12.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.505 * [taylor]: Taking taylor expansion of x in x 12.505 * [backup-simplify]: Simplify 0 into 0 12.505 * [backup-simplify]: Simplify 1 into 1 12.505 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 12.505 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 12.505 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.505 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 12.505 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.505 * [taylor]: Taking taylor expansion of -1/2 in x 12.505 * [backup-simplify]: Simplify -1/2 into -1/2 12.505 * [taylor]: Taking taylor expansion of x in x 12.505 * [backup-simplify]: Simplify 0 into 0 12.505 * [backup-simplify]: Simplify 1 into 1 12.506 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.506 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 12.506 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 12.506 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.506 * [taylor]: Taking taylor expansion of -1/2 in x 12.506 * [backup-simplify]: Simplify -1/2 into -1/2 12.506 * [taylor]: Taking taylor expansion of x in x 12.506 * [backup-simplify]: Simplify 0 into 0 12.506 * [backup-simplify]: Simplify 1 into 1 12.506 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.507 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 12.507 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.507 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 12.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.507 * [taylor]: Taking taylor expansion of -1 in x 12.507 * [backup-simplify]: Simplify -1 into -1 12.507 * [taylor]: Taking taylor expansion of x in x 12.507 * [backup-simplify]: Simplify 0 into 0 12.507 * [backup-simplify]: Simplify 1 into 1 12.507 * [backup-simplify]: Simplify (/ -1 1) into -1 12.507 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 12.508 * [backup-simplify]: Simplify (* 1 1) into 1 12.508 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 12.508 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 12.509 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 12.509 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 12.509 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 12.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 12.511 * [backup-simplify]: Simplify 0 into 0 12.511 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.511 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 12.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 12.513 * [backup-simplify]: Simplify 0 into 0 12.514 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.515 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 12.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 12.517 * [backup-simplify]: Simplify 0 into 0 12.518 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.519 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 12.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 12.522 * [backup-simplify]: Simplify 0 into 0 12.522 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.524 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 12.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 12.528 * [backup-simplify]: Simplify 0 into 0 12.529 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.531 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 12.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 12.535 * [backup-simplify]: Simplify 0 into 0 12.536 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 12.536 * * * [progress]: simplifying candidates 12.536 * * * * [progress]: [ 1 / 123 ] simplifiying candidate # 12.536 * * * * [progress]: [ 2 / 123 ] simplifiying candidate # 12.536 * * * * [progress]: [ 3 / 123 ] simplifiying candidate # 12.536 * * * * [progress]: [ 4 / 123 ] simplifiying candidate # 12.536 * * * * [progress]: [ 5 / 123 ] simplifiying candidate # 12.536 * * * * [progress]: [ 6 / 123 ] simplifiying candidate # 12.536 * * * * [progress]: [ 7 / 123 ] simplifiying candidate # 12.536 * * * * [progress]: [ 8 / 123 ] simplifiying candidate # 12.536 * * * * [progress]: [ 9 / 123 ] simplifiying candidate # 12.536 * * * * [progress]: [ 10 / 123 ] simplifiying candidate # 12.536 * * * * [progress]: [ 11 / 123 ] simplifiying candidate # 12.537 * * * * [progress]: [ 12 / 123 ] simplifiying candidate # 12.537 * * * * [progress]: [ 13 / 123 ] simplifiying candidate # 12.537 * * * * [progress]: [ 14 / 123 ] simplifiying candidate # 12.537 * * * * [progress]: [ 15 / 123 ] simplifiying candidate # 12.537 * * * * [progress]: [ 16 / 123 ] simplifiying candidate # 12.537 * * * * [progress]: [ 17 / 123 ] simplifiying candidate # 12.537 * * * * [progress]: [ 18 / 123 ] simplifiying candidate # 12.537 * * * * [progress]: [ 19 / 123 ] simplifiying candidate # 12.537 * * * * [progress]: [ 20 / 123 ] simplifiying candidate # 12.537 * * * * [progress]: [ 21 / 123 ] simplifiying candidate # 12.537 * * * * [progress]: [ 22 / 123 ] simplifiying candidate # 12.537 * * * * [progress]: [ 23 / 123 ] simplifiying candidate # 12.539 * * * * [progress]: [ 24 / 123 ] simplifiying candidate # 12.539 * * * * [progress]: [ 25 / 123 ] simplifiying candidate # 12.539 * * * * [progress]: [ 26 / 123 ] simplifiying candidate # 12.539 * * * * [progress]: [ 27 / 123 ] simplifiying candidate # 12.539 * * * * [progress]: [ 28 / 123 ] simplifiying candidate # 12.540 * * * * [progress]: [ 29 / 123 ] simplifiying candidate # 12.540 * * * * [progress]: [ 30 / 123 ] simplifiying candidate # 12.540 * * * * [progress]: [ 31 / 123 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))))> 12.540 * * * * [progress]: [ 32 / 123 ] simplifiying candidate # 12.540 * * * * [progress]: [ 33 / 123 ] simplifiying candidate # 12.540 * * * * [progress]: [ 34 / 123 ] simplifiying candidate # 12.540 * * * * [progress]: [ 35 / 123 ] simplifiying candidate # 12.540 * * * * [progress]: [ 36 / 123 ] simplifiying candidate # 12.540 * * * * [progress]: [ 37 / 123 ] simplifiying candidate # 12.540 * * * * [progress]: [ 38 / 123 ] simplifiying candidate # 12.540 * * * * [progress]: [ 39 / 123 ] simplifiying candidate # 12.540 * * * * [progress]: [ 40 / 123 ] simplifiying candidate # 12.540 * * * * [progress]: [ 41 / 123 ] simplifiying candidate # 12.540 * * * * [progress]: [ 42 / 123 ] simplifiying candidate # 12.540 * * * * [progress]: [ 43 / 123 ] simplifiying candidate # 12.541 * * * * [progress]: [ 44 / 123 ] simplifiying candidate # 12.541 * * * * [progress]: [ 45 / 123 ] simplifiying candidate # 12.541 * * * * [progress]: [ 46 / 123 ] simplifiying candidate # 12.541 * * * * [progress]: [ 47 / 123 ] simplifiying candidate # 12.541 * * * * [progress]: [ 48 / 123 ] simplifiying candidate # 12.541 * * * * [progress]: [ 49 / 123 ] simplifiying candidate # 12.541 * * * * [progress]: [ 50 / 123 ] simplifiying candidate # 12.541 * * * * [progress]: [ 51 / 123 ] simplifiying candidate # 12.541 * * * * [progress]: [ 52 / 123 ] simplifiying candidate # 12.541 * * * * [progress]: [ 53 / 123 ] simplifiying candidate # 12.541 * * * * [progress]: [ 54 / 123 ] simplifiying candidate # 12.541 * * * * [progress]: [ 55 / 123 ] simplifiying candidate # 12.541 * * * * [progress]: [ 56 / 123 ] simplifiying candidate # 12.541 * * * * [progress]: [ 57 / 123 ] simplifiying candidate # 12.541 * * * * [progress]: [ 58 / 123 ] simplifiying candidate # 12.542 * * * * [progress]: [ 59 / 123 ] simplifiying candidate # 12.542 * * * * [progress]: [ 60 / 123 ] simplifiying candidate # 12.542 * * * * [progress]: [ 61 / 123 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))> 12.542 * * * * [progress]: [ 62 / 123 ] simplifiying candidate # 12.542 * * * * [progress]: [ 63 / 123 ] simplifiying candidate # 12.542 * * * * [progress]: [ 64 / 123 ] simplifiying candidate # 12.542 * * * * [progress]: [ 65 / 123 ] simplifiying candidate # 12.542 * * * * [progress]: [ 66 / 123 ] simplifiying candidate # 12.542 * * * * [progress]: [ 67 / 123 ] simplifiying candidate # 12.542 * * * * [progress]: [ 68 / 123 ] simplifiying candidate # 12.542 * * * * [progress]: [ 69 / 123 ] simplifiying candidate # 12.542 * * * * [progress]: [ 70 / 123 ] simplifiying candidate # 12.542 * * * * [progress]: [ 71 / 123 ] simplifiying candidate # 12.542 * * * * [progress]: [ 72 / 123 ] simplifiying candidate # 12.543 * * * * [progress]: [ 73 / 123 ] simplifiying candidate # 12.543 * * * * [progress]: [ 74 / 123 ] simplifiying candidate # 12.543 * * * * [progress]: [ 75 / 123 ] simplifiying candidate # 12.543 * * * * [progress]: [ 76 / 123 ] simplifiying candidate # 12.543 * * * * [progress]: [ 77 / 123 ] simplifiying candidate # 12.543 * * * * [progress]: [ 78 / 123 ] simplifiying candidate # 12.543 * * * * [progress]: [ 79 / 123 ] simplifiying candidate # 12.543 * * * * [progress]: [ 80 / 123 ] simplifiying candidate # 12.543 * * * * [progress]: [ 81 / 123 ] simplifiying candidate # 12.543 * * * * [progress]: [ 82 / 123 ] simplifiying candidate # 12.543 * * * * [progress]: [ 83 / 123 ] simplifiying candidate # 12.543 * * * * [progress]: [ 84 / 123 ] simplifiying candidate # 12.543 * * * * [progress]: [ 85 / 123 ] simplifiying candidate # 12.543 * * * * [progress]: [ 86 / 123 ] simplifiying candidate # 12.543 * * * * [progress]: [ 87 / 123 ] simplifiying candidate # 12.544 * * * * [progress]: [ 88 / 123 ] simplifiying candidate # 12.544 * * * * [progress]: [ 89 / 123 ] simplifiying candidate # 12.544 * * * * [progress]: [ 90 / 123 ] simplifiying candidate # 12.544 * * * * [progress]: [ 91 / 123 ] simplifiying candidate # 12.544 * * * * [progress]: [ 92 / 123 ] simplifiying candidate # 12.544 * * * * [progress]: [ 93 / 123 ] simplifiying candidate # 12.544 * * * * [progress]: [ 94 / 123 ] 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candidate # 12.545 * * * * [progress]: [ 110 / 123 ] simplifiying candidate # 12.545 * * * * [progress]: [ 111 / 123 ] simplifiying candidate # 12.545 * * * * [progress]: [ 112 / 123 ] simplifiying candidate # 12.545 * * * * [progress]: [ 113 / 123 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))> 12.545 * * * * [progress]: [ 114 / 123 ] simplifiying candidate # 12.545 * * * * [progress]: [ 115 / 123 ] simplifiying candidate # 12.545 * * * * [progress]: [ 116 / 123 ] simplifiying candidate # 12.545 * * * * [progress]: [ 117 / 123 ] simplifiying candidate # 12.545 * * * * [progress]: [ 118 / 123 ] simplifiying candidate # 12.545 * * * * [progress]: [ 119 / 123 ] simplifiying candidate # 12.545 * * * * [progress]: [ 120 / 123 ] simplifiying candidate # 12.545 * * * * [progress]: [ 121 / 123 ] simplifiying candidate # 12.545 * * * * [progress]: [ 122 / 123 ] simplifiying candidate # 12.546 * * * * [progress]: [ 123 / 123 ] simplifiying candidate # 12.547 * [simplify]: Simplifying: (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (- (log (tan (/ x 2))) (log x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (/ (cbrt (tan (/ x 2))) (sqrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1) (/ (cbrt (tan (/ x 2))) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) 1) (/ (sqrt (tan (/ x 2))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) (/ 1 1) (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (sqrt x)) (/ (tan (/ x 2)) 1) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* x (cos (/ x 2))) (real->posit16 (/ (tan (/ x 2)) x)) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (- (log (sin x)) (log x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) (/ 1 1) (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (/ (sin x) 1) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log1p (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (+ (- (log (sin x)) (log x)) (- (log (tan (/ x 2))) (log x))) (+ (- (log (sin x)) (log x)) (log (/ (tan (/ x 2)) x))) (+ (log (/ (sin x) x)) (- (log (tan (/ x 2))) (log x))) (+ (log (/ (sin x) x)) (log (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (sin x) (tan (/ x 2))) (* x x) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))) (* (/ (sin x) x) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) 1)) (* (/ (sin x) x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ 1 (sqrt x))) (* (/ (sin x) x) (/ 1 1)) (* (/ (sin x) x) 1) (* (/ (sin x) x) (tan (/ x 2))) (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ 1 x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (tan (/ x 2))) (* (sin x) (/ (tan (/ x 2)) x)) (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 12.551 * * [simplify]: iteration 1: (172 enodes) 12.619 * * [simplify]: iteration 2: (449 enodes) 13.276 * * [simplify]: iteration 3: (1656 enodes) 21.488 * * [simplify]: Extracting #0: cost 107 inf + 0 21.490 * * [simplify]: Extracting #1: cost 773 inf + 1 21.496 * * [simplify]: Extracting #2: cost 1423 inf + 10096 21.519 * * [simplify]: Extracting #3: cost 1027 inf + 87482 21.613 * * [simplify]: Extracting #4: cost 284 inf + 329866 21.725 * * [simplify]: Extracting #5: cost 20 inf + 424470 21.858 * * [simplify]: Extracting #6: cost 0 inf + 432316 21.993 * [simplify]: Simplified to: (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (/ (sqrt x) (cbrt (tan (/ x 2))))) (/ (cbrt (tan (/ x 2))) (sqrt x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (cbrt (tan (/ x 2))) x) (/ (/ (sqrt (tan (/ x 2))) (cbrt x)) (cbrt x)) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (tan (/ x 2))) (/ (sqrt (tan (/ x 2))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) 1 (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (/ (tan (/ x 2)) (cbrt x)) (cbrt x)) (/ (tan (/ x 2)) (sqrt x)) (tan (/ x 2)) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* (cos (/ x 2)) x) (real->posit16 (/ (tan (/ x 2)) x)) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (log (/ (sin x) x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (* (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (/ (sqrt x) (cbrt (sin x)))) (/ (cbrt (sin x)) (sqrt x)) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) x) (/ (/ (sqrt (sin x)) (cbrt x)) (cbrt x)) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (sqrt (sin x)) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) 1 (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (sin x) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log1p (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (exp (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (cbrt (/ (* (tan (/ x 2)) (sin x)) (* x x))) (cbrt (/ (* (tan (/ x 2)) (sin x)) (* x x)))) (cbrt (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (sqrt (/ (* (tan (/ x 2)) (sin x)) (* x x))) (sqrt (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (tan (/ x 2)) (sin x)) (* x x) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (sin x) x))) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (sin x) x))) (* (/ (sqrt (/ (sin x) x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (sqrt (/ (sin x) x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (sqrt (/ (tan (/ x 2)) x)) (/ (sqrt (sin x)) (sqrt x))) (* (sqrt (/ (tan (/ x 2)) x)) (/ (sqrt (sin x)) (sqrt x))) (* (/ (/ (sqrt (sin x)) (sqrt x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (/ (sqrt (sin x)) (sqrt x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (* (cbrt (/ (tan (/ x 2)) x)) (/ (sin x) x)) (cbrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (tan (/ x 2)) x)) (/ (sin x) x)) (/ (/ (sin x) x) (* (/ (cbrt x) (cbrt (tan (/ x 2)))) (/ (cbrt x) (cbrt (tan (/ x 2)))))) (* (/ (cbrt (tan (/ x 2))) (/ (sqrt x) (cbrt (tan (/ x 2))))) (/ (sin x) x)) (* (* (/ (sin x) x) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))) (* (/ (/ (sin x) x) (* (cbrt x) (cbrt x))) (sqrt (tan (/ x 2)))) (/ (/ (* (sin x) (sqrt (tan (/ x 2)))) (sqrt x)) x) (* (/ (sin x) x) (sqrt (tan (/ x 2)))) (/ (sin x) (* x (* (cbrt x) (cbrt x)))) (/ (sin x) (* x (sqrt x))) (/ (sin x) x) (/ (sin x) x) (* (tan (/ x 2)) (/ (sin x) x)) (* (/ (tan (/ x 2)) x) (cbrt (/ (sin x) x))) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (/ (* (tan (/ x 2)) (/ (cbrt (sin x)) (cbrt x))) x) (/ (* (/ (cbrt (sin x)) (sqrt x)) (tan (/ x 2))) x) (/ (/ (cbrt (sin x)) x) (/ x (tan (/ x 2)))) (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) (cbrt x))) (/ (/ (sqrt (sin x)) (sqrt x)) (/ x (tan (/ x 2)))) (/ (* (/ (sqrt (sin x)) x) (tan (/ x 2))) x) (* (/ (tan (/ x 2)) x) (/ (sin x) (cbrt x))) (/ (* (tan (/ x 2)) (/ (sin x) (sqrt x))) x) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (/ (tan (/ x 2)) x) x) (* (tan (/ x 2)) (/ (sin x) x)) (* (tan (/ x 2)) (/ (sin x) x)) (real->posit16 (/ (* (tan (/ x 2)) (sin x)) (* x x))) (fma 1/240 (* (* x x) (* x x)) (fma (* x x) 1/24 1/2)) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (fma -1/6 (* x x) (fma 1/120 (* (* x x) (* x x)) 1)) (/ (sin x) x) (/ (sin x) x) (fma (* x x) -1/24 (fma (* (* x x) (* x x)) 1/720 1/2)) (* (/ (sin x) (cos (* 1/2 x))) (/ (sin (* 1/2 x)) (* x x))) (* (/ (sin x) (cos (* 1/2 x))) (/ (sin (* 1/2 x)) (* x x))) 21.999 * * * [progress]: adding candidates to table 22.968 * * [progress]: iteration 4 / 4 22.968 * * * [progress]: picking best candidate 22.991 * * * * [pick]: Picked # 22.991 * * * [progress]: localizing error 23.024 * * * [progress]: generating rewritten candidates 23.024 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 23.048 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 23.060 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 23.087 * * * [progress]: generating series expansions 23.087 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 23.087 * [backup-simplify]: Simplify (* (sin x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) x) 23.087 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in (x) around 0 23.087 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 23.087 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 23.087 * [taylor]: Taking taylor expansion of (sin x) in x 23.087 * [taylor]: Taking taylor expansion of x in x 23.087 * [backup-simplify]: Simplify 0 into 0 23.087 * [backup-simplify]: Simplify 1 into 1 23.087 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 23.087 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 23.087 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 23.087 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 23.088 * [taylor]: Taking taylor expansion of 1/2 in x 23.088 * [backup-simplify]: Simplify 1/2 into 1/2 23.088 * [taylor]: Taking taylor expansion of x in x 23.088 * [backup-simplify]: Simplify 0 into 0 23.088 * [backup-simplify]: Simplify 1 into 1 23.088 * [backup-simplify]: Simplify (* 1/2 0) into 0 23.089 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 23.089 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 23.089 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 23.089 * [taylor]: Taking taylor expansion of 1/2 in x 23.089 * [backup-simplify]: Simplify 1/2 into 1/2 23.089 * [taylor]: Taking taylor expansion of x in x 23.089 * [backup-simplify]: Simplify 0 into 0 23.089 * [backup-simplify]: Simplify 1 into 1 23.089 * [backup-simplify]: Simplify (* 1/2 0) into 0 23.089 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 23.090 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 23.090 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.090 * [taylor]: Taking taylor expansion of x in x 23.090 * [backup-simplify]: Simplify 0 into 0 23.090 * [backup-simplify]: Simplify 1 into 1 23.090 * [backup-simplify]: Simplify (* 0 1/2) into 0 23.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 23.091 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 23.092 * [backup-simplify]: Simplify (+ 0) into 0 23.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 23.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 23.093 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 23.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.093 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 23.093 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 23.093 * [taylor]: Taking taylor expansion of (sin x) in x 23.093 * [taylor]: Taking taylor expansion of x in x 23.093 * [backup-simplify]: Simplify 0 into 0 23.093 * [backup-simplify]: Simplify 1 into 1 23.093 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 23.093 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 23.093 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 23.094 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 23.094 * [taylor]: Taking taylor expansion of 1/2 in x 23.094 * [backup-simplify]: Simplify 1/2 into 1/2 23.094 * [taylor]: Taking taylor expansion of x in x 23.094 * [backup-simplify]: Simplify 0 into 0 23.094 * [backup-simplify]: Simplify 1 into 1 23.094 * [backup-simplify]: Simplify (* 1/2 0) into 0 23.094 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 23.094 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 23.094 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 23.094 * [taylor]: Taking taylor expansion of 1/2 in x 23.094 * [backup-simplify]: Simplify 1/2 into 1/2 23.094 * [taylor]: Taking taylor expansion of x in x 23.094 * [backup-simplify]: Simplify 0 into 0 23.094 * [backup-simplify]: Simplify 1 into 1 23.095 * [backup-simplify]: Simplify (* 1/2 0) into 0 23.095 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 23.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 23.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.096 * [taylor]: Taking taylor expansion of x in x 23.096 * [backup-simplify]: Simplify 0 into 0 23.096 * [backup-simplify]: Simplify 1 into 1 23.096 * [backup-simplify]: Simplify (* 0 1/2) into 0 23.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 23.097 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 23.098 * [backup-simplify]: Simplify (+ 0) into 0 23.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 23.099 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 23.099 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 23.099 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.099 * [backup-simplify]: Simplify 1/2 into 1/2 23.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 23.101 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 23.101 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 23.102 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 23.103 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 23.104 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 23.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 23.104 * [backup-simplify]: Simplify 0 into 0 23.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 23.106 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 23.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 23.108 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 23.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 23.111 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 23.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 23.114 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 23.114 * [backup-simplify]: Simplify -1/24 into -1/24 23.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 23.119 * [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 23.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 23.124 * [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 23.126 * [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 23.127 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 23.129 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 23.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 23.131 * [backup-simplify]: Simplify 0 into 0 23.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 23.137 * [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 23.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 23.141 * [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 23.143 * [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 23.147 * [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 23.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 23.151 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 23.151 * [backup-simplify]: Simplify 1/720 into 1/720 23.152 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 23.152 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) into (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) x)) 23.152 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) x)) in (x) around 0 23.152 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) x)) in x 23.152 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 23.152 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 23.152 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 23.152 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 23.152 * [taylor]: Taking taylor expansion of 1/2 in x 23.152 * [backup-simplify]: Simplify 1/2 into 1/2 23.152 * [taylor]: Taking taylor expansion of x in x 23.152 * [backup-simplify]: Simplify 0 into 0 23.152 * [backup-simplify]: Simplify 1 into 1 23.153 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.153 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 23.153 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 23.153 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 23.153 * [taylor]: Taking taylor expansion of 1/2 in x 23.153 * [backup-simplify]: Simplify 1/2 into 1/2 23.153 * [taylor]: Taking taylor expansion of x in x 23.153 * [backup-simplify]: Simplify 0 into 0 23.153 * [backup-simplify]: Simplify 1 into 1 23.153 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.154 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 23.154 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 23.154 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) x) in x 23.154 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 23.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 23.154 * [taylor]: Taking taylor expansion of x in x 23.154 * [backup-simplify]: Simplify 0 into 0 23.154 * [backup-simplify]: Simplify 1 into 1 23.154 * [backup-simplify]: Simplify (/ 1 1) into 1 23.154 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 23.154 * [taylor]: Taking taylor expansion of x in x 23.154 * [backup-simplify]: Simplify 0 into 0 23.154 * [backup-simplify]: Simplify 1 into 1 23.154 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) x)) in x 23.154 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 23.154 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 23.155 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 23.155 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 23.155 * [taylor]: Taking taylor expansion of 1/2 in x 23.155 * [backup-simplify]: Simplify 1/2 into 1/2 23.155 * [taylor]: Taking taylor expansion of x in x 23.155 * [backup-simplify]: Simplify 0 into 0 23.155 * [backup-simplify]: Simplify 1 into 1 23.155 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.155 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 23.155 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 23.155 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 23.155 * [taylor]: Taking taylor expansion of 1/2 in x 23.155 * [backup-simplify]: Simplify 1/2 into 1/2 23.155 * [taylor]: Taking taylor expansion of x in x 23.155 * [backup-simplify]: Simplify 0 into 0 23.155 * [backup-simplify]: Simplify 1 into 1 23.156 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.156 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 23.156 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 23.156 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) x) in x 23.156 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 23.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 23.156 * [taylor]: Taking taylor expansion of x in x 23.156 * [backup-simplify]: Simplify 0 into 0 23.156 * [backup-simplify]: Simplify 1 into 1 23.156 * [backup-simplify]: Simplify (/ 1 1) into 1 23.157 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 23.157 * [taylor]: Taking taylor expansion of x in x 23.157 * [backup-simplify]: Simplify 0 into 0 23.157 * [backup-simplify]: Simplify 1 into 1 23.157 * [backup-simplify]: Simplify (* (sin (/ 1 x)) 0) into 0 23.157 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 23.157 * [backup-simplify]: Simplify 0 into 0 23.157 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 1) (* 0 0)) into (sin (/ 1 x)) 23.158 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 23.158 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) (* 0 0)) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 23.158 * [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))) 23.159 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 1) (* 0 0))) into 0 23.159 * [backup-simplify]: Simplify (- (/ 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 23.160 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 (sin (/ 1 x))) (* 0 0))) into 0 23.160 * [backup-simplify]: Simplify 0 into 0 23.161 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 23.161 * [backup-simplify]: Simplify (- (/ 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 23.162 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 (sin (/ 1 x))) (* 0 0)))) into 0 23.162 * [backup-simplify]: Simplify 0 into 0 23.163 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 23.164 * [backup-simplify]: Simplify (- (/ 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 23.165 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ 1 x))) (* 0 0))))) into 0 23.165 * [backup-simplify]: Simplify 0 into 0 23.166 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 23.167 * [backup-simplify]: Simplify (- (/ 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 23.169 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ 1 x))) (* 0 0)))))) into 0 23.169 * [backup-simplify]: Simplify 0 into 0 23.170 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 23.171 * [backup-simplify]: Simplify (- (/ 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 23.173 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ 1 x))) (* 0 0))))))) into 0 23.173 * [backup-simplify]: Simplify 0 into 0 23.175 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 23.176 * [backup-simplify]: Simplify (- (/ 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 23.179 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ 1 x))) (* 0 0)))))))) into 0 23.179 * [backup-simplify]: Simplify 0 into 0 23.179 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) 23.179 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) into (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) 23.179 * [approximate]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in (x) around 0 23.179 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 23.179 * [taylor]: Taking taylor expansion of -1 in x 23.179 * [backup-simplify]: Simplify -1 into -1 23.180 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 23.180 * [taylor]: Taking taylor expansion of x in x 23.180 * [backup-simplify]: Simplify 0 into 0 23.180 * [backup-simplify]: Simplify 1 into 1 23.180 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 23.180 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 23.180 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 23.180 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 23.180 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 23.180 * [taylor]: Taking taylor expansion of -1/2 in x 23.180 * [backup-simplify]: Simplify -1/2 into -1/2 23.180 * [taylor]: Taking taylor expansion of x in x 23.180 * [backup-simplify]: Simplify 0 into 0 23.180 * [backup-simplify]: Simplify 1 into 1 23.180 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 23.180 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 23.181 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 23.181 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 23.181 * [taylor]: Taking taylor expansion of -1/2 in x 23.181 * [backup-simplify]: Simplify -1/2 into -1/2 23.181 * [taylor]: Taking taylor expansion of x in x 23.181 * [backup-simplify]: Simplify 0 into 0 23.181 * [backup-simplify]: Simplify 1 into 1 23.181 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 23.181 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 23.181 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 23.181 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 23.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x 23.181 * [taylor]: Taking taylor expansion of -1 in x 23.182 * [backup-simplify]: Simplify -1 into -1 23.182 * [taylor]: Taking taylor expansion of x in x 23.182 * [backup-simplify]: Simplify 0 into 0 23.182 * [backup-simplify]: Simplify 1 into 1 23.182 * [backup-simplify]: Simplify (/ -1 1) into -1 23.182 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 23.182 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 23.182 * [taylor]: Taking taylor expansion of -1 in x 23.182 * [backup-simplify]: Simplify -1 into -1 23.183 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 23.183 * [taylor]: Taking taylor expansion of x in x 23.183 * [backup-simplify]: Simplify 0 into 0 23.183 * [backup-simplify]: Simplify 1 into 1 23.183 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 23.183 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 23.183 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 23.183 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 23.183 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 23.183 * [taylor]: Taking taylor expansion of -1/2 in x 23.183 * [backup-simplify]: Simplify -1/2 into -1/2 23.183 * [taylor]: Taking taylor expansion of x in x 23.183 * [backup-simplify]: Simplify 0 into 0 23.183 * [backup-simplify]: Simplify 1 into 1 23.183 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 23.183 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 23.183 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 23.183 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 23.184 * [taylor]: Taking taylor expansion of -1/2 in x 23.184 * [backup-simplify]: Simplify -1/2 into -1/2 23.184 * [taylor]: Taking taylor expansion of x in x 23.184 * [backup-simplify]: Simplify 0 into 0 23.184 * [backup-simplify]: Simplify 1 into 1 23.184 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 23.184 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 23.184 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 23.184 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 23.184 * [taylor]: Taking taylor expansion of (/ -1 x) in x 23.184 * [taylor]: Taking taylor expansion of -1 in x 23.184 * [backup-simplify]: Simplify -1 into -1 23.184 * [taylor]: Taking taylor expansion of x in x 23.184 * [backup-simplify]: Simplify 0 into 0 23.184 * [backup-simplify]: Simplify 1 into 1 23.185 * [backup-simplify]: Simplify (/ -1 1) into -1 23.185 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 23.185 * [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))) 23.185 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into 0 23.186 * [backup-simplify]: Simplify (* -1 0) into 0 23.186 * [backup-simplify]: Simplify 0 into 0 23.186 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 23.186 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 23.187 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 23.187 * [backup-simplify]: Simplify (+ (* -1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) 23.188 * [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)))) 23.188 * [backup-simplify]: Simplify (- (/ 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 23.189 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 23.190 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 23.191 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))) into 0 23.191 * [backup-simplify]: Simplify 0 into 0 23.191 * [backup-simplify]: Simplify (- (/ 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 23.192 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 23.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 23.194 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))) into 0 23.194 * [backup-simplify]: Simplify 0 into 0 23.195 * [backup-simplify]: Simplify (- (/ 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 23.196 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 23.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 23.199 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))))) into 0 23.199 * [backup-simplify]: Simplify 0 into 0 23.200 * [backup-simplify]: Simplify (- (/ 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 23.201 * [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 23.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 23.203 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 23.204 * [backup-simplify]: Simplify 0 into 0 23.204 * [backup-simplify]: Simplify (- (/ 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 23.205 * [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 23.207 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 23.213 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))))))) into 0 23.213 * [backup-simplify]: Simplify 0 into 0 23.213 * [backup-simplify]: Simplify (- (/ 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 23.215 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 23.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))))) into 0 23.218 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))))))) into 0 23.218 * [backup-simplify]: Simplify 0 into 0 23.218 * [backup-simplify]: Simplify (* (- (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) 23.218 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 23.219 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 23.219 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 23.219 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 23.219 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 23.219 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 23.219 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 23.219 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 23.219 * [taylor]: Taking taylor expansion of 1/2 in x 23.219 * [backup-simplify]: Simplify 1/2 into 1/2 23.219 * [taylor]: Taking taylor expansion of x in x 23.219 * [backup-simplify]: Simplify 0 into 0 23.219 * [backup-simplify]: Simplify 1 into 1 23.219 * [backup-simplify]: Simplify (* 1/2 0) into 0 23.219 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 23.219 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 23.220 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 23.220 * [taylor]: Taking taylor expansion of 1/2 in x 23.220 * [backup-simplify]: Simplify 1/2 into 1/2 23.220 * [taylor]: Taking taylor expansion of x in x 23.220 * [backup-simplify]: Simplify 0 into 0 23.220 * [backup-simplify]: Simplify 1 into 1 23.220 * [backup-simplify]: Simplify (* 1/2 0) into 0 23.220 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 23.221 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 23.221 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.221 * [taylor]: Taking taylor expansion of x in x 23.221 * [backup-simplify]: Simplify 0 into 0 23.221 * [backup-simplify]: Simplify 1 into 1 23.221 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.221 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 23.221 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 23.221 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 23.221 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 23.221 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 23.221 * [taylor]: Taking taylor expansion of 1/2 in x 23.221 * [backup-simplify]: Simplify 1/2 into 1/2 23.222 * [taylor]: Taking taylor expansion of x in x 23.222 * [backup-simplify]: Simplify 0 into 0 23.222 * [backup-simplify]: Simplify 1 into 1 23.222 * [backup-simplify]: Simplify (* 1/2 0) into 0 23.222 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 23.222 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 23.222 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 23.222 * [taylor]: Taking taylor expansion of 1/2 in x 23.222 * [backup-simplify]: Simplify 1/2 into 1/2 23.222 * [taylor]: Taking taylor expansion of x in x 23.222 * [backup-simplify]: Simplify 0 into 0 23.222 * [backup-simplify]: Simplify 1 into 1 23.223 * [backup-simplify]: Simplify (* 1/2 0) into 0 23.223 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 23.223 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 23.224 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.224 * [taylor]: Taking taylor expansion of x in x 23.224 * [backup-simplify]: Simplify 0 into 0 23.224 * [backup-simplify]: Simplify 1 into 1 23.224 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.224 * [backup-simplify]: Simplify 1/2 into 1/2 23.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 23.225 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 23.225 * [backup-simplify]: Simplify (+ 0) into 0 23.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 23.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 23.226 * [backup-simplify]: Simplify 0 into 0 23.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 23.229 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 23.230 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 23.232 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 23.233 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 23.233 * [backup-simplify]: Simplify 1/24 into 1/24 23.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 23.236 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 23.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 23.238 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 23.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 23.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 23.242 * [backup-simplify]: Simplify 0 into 0 23.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 23.247 * [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 23.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 23.251 * [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 23.254 * [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 23.256 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 23.256 * [backup-simplify]: Simplify 1/240 into 1/240 23.256 * [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)) 23.256 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 23.256 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 23.257 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 23.257 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 23.257 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 23.257 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 23.257 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 23.257 * [taylor]: Taking taylor expansion of 1/2 in x 23.257 * [backup-simplify]: Simplify 1/2 into 1/2 23.257 * [taylor]: Taking taylor expansion of x in x 23.257 * [backup-simplify]: Simplify 0 into 0 23.257 * [backup-simplify]: Simplify 1 into 1 23.258 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.258 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 23.258 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 23.258 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 23.258 * [taylor]: Taking taylor expansion of 1/2 in x 23.258 * [backup-simplify]: Simplify 1/2 into 1/2 23.258 * [taylor]: Taking taylor expansion of x in x 23.258 * [backup-simplify]: Simplify 0 into 0 23.258 * [backup-simplify]: Simplify 1 into 1 23.259 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.259 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 23.259 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 23.259 * [taylor]: Taking taylor expansion of x in x 23.259 * [backup-simplify]: Simplify 0 into 0 23.259 * [backup-simplify]: Simplify 1 into 1 23.259 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 23.259 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 23.259 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 23.259 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 23.259 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 23.259 * [taylor]: Taking taylor expansion of 1/2 in x 23.259 * [backup-simplify]: Simplify 1/2 into 1/2 23.259 * [taylor]: Taking taylor expansion of x in x 23.259 * [backup-simplify]: Simplify 0 into 0 23.259 * [backup-simplify]: Simplify 1 into 1 23.259 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.259 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 23.259 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 23.259 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 23.259 * [taylor]: Taking taylor expansion of 1/2 in x 23.259 * [backup-simplify]: Simplify 1/2 into 1/2 23.259 * [taylor]: Taking taylor expansion of x in x 23.259 * [backup-simplify]: Simplify 0 into 0 23.259 * [backup-simplify]: Simplify 1 into 1 23.260 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.260 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 23.260 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 23.260 * [taylor]: Taking taylor expansion of x in x 23.260 * [backup-simplify]: Simplify 0 into 0 23.260 * [backup-simplify]: Simplify 1 into 1 23.260 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 23.260 * [backup-simplify]: Simplify 0 into 0 23.260 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 23.261 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 23.261 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 23.261 * [backup-simplify]: Simplify (- (/ 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 23.261 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 23.262 * [backup-simplify]: Simplify 0 into 0 23.262 * [backup-simplify]: Simplify (- (/ 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 23.262 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 23.262 * [backup-simplify]: Simplify 0 into 0 23.263 * [backup-simplify]: Simplify (- (/ 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 23.263 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 23.263 * [backup-simplify]: Simplify 0 into 0 23.264 * [backup-simplify]: Simplify (- (/ 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 23.264 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 23.264 * [backup-simplify]: Simplify 0 into 0 23.265 * [backup-simplify]: Simplify (- (/ 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 23.266 * [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 23.266 * [backup-simplify]: Simplify 0 into 0 23.266 * [backup-simplify]: Simplify (- (/ 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 23.267 * [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 23.267 * [backup-simplify]: Simplify 0 into 0 23.268 * [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)) 23.268 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 23.268 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 23.268 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 23.268 * [taylor]: Taking taylor expansion of -1 in x 23.268 * [backup-simplify]: Simplify -1 into -1 23.268 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 23.268 * [taylor]: Taking taylor expansion of x in x 23.268 * [backup-simplify]: Simplify 0 into 0 23.268 * [backup-simplify]: Simplify 1 into 1 23.268 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 23.268 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 23.268 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 23.268 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 23.268 * [taylor]: Taking taylor expansion of -1/2 in x 23.268 * [backup-simplify]: Simplify -1/2 into -1/2 23.268 * [taylor]: Taking taylor expansion of x in x 23.268 * [backup-simplify]: Simplify 0 into 0 23.268 * [backup-simplify]: Simplify 1 into 1 23.268 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 23.268 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 23.268 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 23.268 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 23.268 * [taylor]: Taking taylor expansion of -1/2 in x 23.268 * [backup-simplify]: Simplify -1/2 into -1/2 23.268 * [taylor]: Taking taylor expansion of x in x 23.269 * [backup-simplify]: Simplify 0 into 0 23.269 * [backup-simplify]: Simplify 1 into 1 23.269 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 23.269 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 23.269 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 23.269 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 23.269 * [taylor]: Taking taylor expansion of -1 in x 23.269 * [backup-simplify]: Simplify -1 into -1 23.269 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 23.269 * [taylor]: Taking taylor expansion of x in x 23.269 * [backup-simplify]: Simplify 0 into 0 23.269 * [backup-simplify]: Simplify 1 into 1 23.269 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 23.269 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 23.269 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 23.269 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 23.269 * [taylor]: Taking taylor expansion of -1/2 in x 23.269 * [backup-simplify]: Simplify -1/2 into -1/2 23.269 * [taylor]: Taking taylor expansion of x in x 23.269 * [backup-simplify]: Simplify 0 into 0 23.269 * [backup-simplify]: Simplify 1 into 1 23.269 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 23.270 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 23.270 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 23.270 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 23.270 * [taylor]: Taking taylor expansion of -1/2 in x 23.270 * [backup-simplify]: Simplify -1/2 into -1/2 23.270 * [taylor]: Taking taylor expansion of x in x 23.270 * [backup-simplify]: Simplify 0 into 0 23.270 * [backup-simplify]: Simplify 1 into 1 23.270 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 23.270 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 23.270 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 23.270 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 23.270 * [backup-simplify]: Simplify (* -1 0) into 0 23.271 * [backup-simplify]: Simplify 0 into 0 23.271 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 23.271 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 23.271 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 23.271 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 23.272 * [backup-simplify]: Simplify (- (/ 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 23.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 23.273 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 23.273 * [backup-simplify]: Simplify 0 into 0 23.273 * [backup-simplify]: Simplify (- (/ 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 23.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 23.275 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 23.275 * [backup-simplify]: Simplify 0 into 0 23.275 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 23.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 23.277 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 23.277 * [backup-simplify]: Simplify 0 into 0 23.277 * [backup-simplify]: Simplify (- (/ 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 23.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 23.280 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 23.280 * [backup-simplify]: Simplify 0 into 0 23.280 * [backup-simplify]: Simplify (- (/ 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 23.281 * [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 23.283 * [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 23.283 * [backup-simplify]: Simplify 0 into 0 23.283 * [backup-simplify]: Simplify (- (/ 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 23.285 * [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 23.287 * [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 23.287 * [backup-simplify]: Simplify 0 into 0 23.287 * [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)) 23.287 * * * * [progress]: [ 3 / 3 ] generating series at (2) 23.287 * [backup-simplify]: Simplify (/ (* (sin x) (/ (tan (/ x 2)) x)) x) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 23.287 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 23.287 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 23.287 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 23.287 * [taylor]: Taking taylor expansion of (sin x) in x 23.287 * [taylor]: Taking taylor expansion of x in x 23.287 * [backup-simplify]: Simplify 0 into 0 23.287 * [backup-simplify]: Simplify 1 into 1 23.287 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 23.287 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 23.287 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 23.287 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 23.287 * [taylor]: Taking taylor expansion of 1/2 in x 23.287 * [backup-simplify]: Simplify 1/2 into 1/2 23.287 * [taylor]: Taking taylor expansion of x in x 23.287 * [backup-simplify]: Simplify 0 into 0 23.287 * [backup-simplify]: Simplify 1 into 1 23.288 * [backup-simplify]: Simplify (* 1/2 0) into 0 23.288 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 23.288 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 23.288 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 23.288 * [taylor]: Taking taylor expansion of 1/2 in x 23.288 * [backup-simplify]: Simplify 1/2 into 1/2 23.288 * [taylor]: Taking taylor expansion of x in x 23.288 * [backup-simplify]: Simplify 0 into 0 23.288 * [backup-simplify]: Simplify 1 into 1 23.288 * [backup-simplify]: Simplify (* 1/2 0) into 0 23.289 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 23.289 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 23.290 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 23.290 * [taylor]: Taking taylor expansion of x in x 23.290 * [backup-simplify]: Simplify 0 into 0 23.290 * [backup-simplify]: Simplify 1 into 1 23.290 * [backup-simplify]: Simplify (* 0 1/2) into 0 23.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 23.291 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 23.291 * [backup-simplify]: Simplify (+ 0) into 0 23.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 23.292 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 23.292 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 23.293 * [backup-simplify]: Simplify (* 1 1) into 1 23.293 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.293 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 23.293 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 23.293 * [taylor]: Taking taylor expansion of (sin x) in x 23.293 * [taylor]: Taking taylor expansion of x in x 23.293 * [backup-simplify]: Simplify 0 into 0 23.293 * [backup-simplify]: Simplify 1 into 1 23.293 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 23.293 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 23.293 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 23.293 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 23.293 * [taylor]: Taking taylor expansion of 1/2 in x 23.293 * [backup-simplify]: Simplify 1/2 into 1/2 23.293 * [taylor]: Taking taylor expansion of x in x 23.293 * [backup-simplify]: Simplify 0 into 0 23.293 * [backup-simplify]: Simplify 1 into 1 23.293 * [backup-simplify]: Simplify (* 1/2 0) into 0 23.294 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 23.294 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 23.294 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 23.294 * [taylor]: Taking taylor expansion of 1/2 in x 23.294 * [backup-simplify]: Simplify 1/2 into 1/2 23.294 * [taylor]: Taking taylor expansion of x in x 23.294 * [backup-simplify]: Simplify 0 into 0 23.294 * [backup-simplify]: Simplify 1 into 1 23.294 * [backup-simplify]: Simplify (* 1/2 0) into 0 23.295 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 23.295 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 23.295 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 23.295 * [taylor]: Taking taylor expansion of x in x 23.295 * [backup-simplify]: Simplify 0 into 0 23.296 * [backup-simplify]: Simplify 1 into 1 23.296 * [backup-simplify]: Simplify (* 0 1/2) into 0 23.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 23.297 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 23.297 * [backup-simplify]: Simplify (+ 0) into 0 23.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 23.298 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 23.298 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 23.299 * [backup-simplify]: Simplify (* 1 1) into 1 23.299 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.299 * [backup-simplify]: Simplify 1/2 into 1/2 23.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 23.301 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 23.301 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 23.302 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 23.303 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 23.304 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 23.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 23.305 * [backup-simplify]: Simplify 0 into 0 23.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 23.308 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 23.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 23.311 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 23.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 23.314 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 23.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 23.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.317 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 23.318 * [backup-simplify]: Simplify -1/24 into -1/24 23.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 23.328 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 23.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 23.332 * [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 23.334 * [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 23.336 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 23.338 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 23.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 23.340 * [backup-simplify]: Simplify 0 into 0 23.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 23.345 * [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 23.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 23.347 * [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 23.349 * [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 23.351 * [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 23.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 23.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.355 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 23.355 * [backup-simplify]: Simplify 1/720 into 1/720 23.355 * [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))) 23.355 * [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))) 23.355 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in (x) around 0 23.355 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in x 23.355 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 23.355 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 23.356 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 23.356 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 23.356 * [taylor]: Taking taylor expansion of 1/2 in x 23.356 * [backup-simplify]: Simplify 1/2 into 1/2 23.356 * [taylor]: Taking taylor expansion of x in x 23.356 * [backup-simplify]: Simplify 0 into 0 23.356 * [backup-simplify]: Simplify 1 into 1 23.356 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.356 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 23.356 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 23.356 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 23.356 * [taylor]: Taking taylor expansion of 1/2 in x 23.356 * [backup-simplify]: Simplify 1/2 into 1/2 23.356 * [taylor]: Taking taylor expansion of x in x 23.356 * [backup-simplify]: Simplify 0 into 0 23.356 * [backup-simplify]: Simplify 1 into 1 23.357 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.357 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 23.357 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 23.357 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (pow x 2)) in x 23.357 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 23.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 23.357 * [taylor]: Taking taylor expansion of x in x 23.357 * [backup-simplify]: Simplify 0 into 0 23.357 * [backup-simplify]: Simplify 1 into 1 23.357 * [backup-simplify]: Simplify (/ 1 1) into 1 23.357 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 23.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 23.357 * [taylor]: Taking taylor expansion of x in x 23.357 * [backup-simplify]: Simplify 0 into 0 23.357 * [backup-simplify]: Simplify 1 into 1 23.357 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in x 23.357 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 23.357 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 23.357 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 23.357 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 23.357 * [taylor]: Taking taylor expansion of 1/2 in x 23.357 * [backup-simplify]: Simplify 1/2 into 1/2 23.358 * [taylor]: Taking taylor expansion of x in x 23.358 * [backup-simplify]: Simplify 0 into 0 23.358 * [backup-simplify]: Simplify 1 into 1 23.358 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.358 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 23.358 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 23.358 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 23.358 * [taylor]: Taking taylor expansion of 1/2 in x 23.358 * [backup-simplify]: Simplify 1/2 into 1/2 23.358 * [taylor]: Taking taylor expansion of x in x 23.358 * [backup-simplify]: Simplify 0 into 0 23.358 * [backup-simplify]: Simplify 1 into 1 23.358 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 23.358 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 23.358 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 23.358 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (pow x 2)) in x 23.358 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 23.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 23.359 * [taylor]: Taking taylor expansion of x in x 23.359 * [backup-simplify]: Simplify 0 into 0 23.359 * [backup-simplify]: Simplify 1 into 1 23.359 * [backup-simplify]: Simplify (/ 1 1) into 1 23.359 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 23.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 23.359 * [taylor]: Taking taylor expansion of x in x 23.359 * [backup-simplify]: Simplify 0 into 0 23.359 * [backup-simplify]: Simplify 1 into 1 23.359 * [backup-simplify]: Simplify (* 1 1) into 1 23.359 * [backup-simplify]: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) 23.359 * [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))) 23.359 * [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))) 23.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.360 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 23.360 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 23.360 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 23.361 * [backup-simplify]: Simplify 0 into 0 23.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.361 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 23.362 * [backup-simplify]: Simplify (- (/ 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 23.362 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 23.362 * [backup-simplify]: Simplify 0 into 0 23.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.363 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.363 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 23.364 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 23.364 * [backup-simplify]: Simplify 0 into 0 23.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.365 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.365 * [backup-simplify]: Simplify (- (/ 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 23.366 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 23.366 * [backup-simplify]: Simplify 0 into 0 23.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 23.368 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 23.368 * [backup-simplify]: Simplify (- (/ 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 23.369 * [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 23.369 * [backup-simplify]: Simplify 0 into 0 23.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 23.371 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 23.371 * [backup-simplify]: Simplify (- (/ 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 23.372 * [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 23.372 * [backup-simplify]: Simplify 0 into 0 23.373 * [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))) 23.373 * [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)))) 23.373 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 23.373 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 23.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 23.373 * [taylor]: Taking taylor expansion of x in x 23.373 * [backup-simplify]: Simplify 0 into 0 23.373 * [backup-simplify]: Simplify 1 into 1 23.373 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 23.373 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 23.373 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 23.373 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 23.373 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 23.373 * [taylor]: Taking taylor expansion of -1/2 in x 23.373 * [backup-simplify]: Simplify -1/2 into -1/2 23.373 * [taylor]: Taking taylor expansion of x in x 23.373 * [backup-simplify]: Simplify 0 into 0 23.373 * [backup-simplify]: Simplify 1 into 1 23.373 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 23.373 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 23.373 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 23.373 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 23.374 * [taylor]: Taking taylor expansion of -1/2 in x 23.374 * [backup-simplify]: Simplify -1/2 into -1/2 23.374 * [taylor]: Taking taylor expansion of x in x 23.374 * [backup-simplify]: Simplify 0 into 0 23.374 * [backup-simplify]: Simplify 1 into 1 23.374 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 23.374 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 23.374 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 23.374 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 23.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 23.374 * [taylor]: Taking taylor expansion of -1 in x 23.374 * [backup-simplify]: Simplify -1 into -1 23.374 * [taylor]: Taking taylor expansion of x in x 23.374 * [backup-simplify]: Simplify 0 into 0 23.374 * [backup-simplify]: Simplify 1 into 1 23.374 * [backup-simplify]: Simplify (/ -1 1) into -1 23.374 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 23.374 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 23.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 23.374 * [taylor]: Taking taylor expansion of x in x 23.374 * [backup-simplify]: Simplify 0 into 0 23.374 * [backup-simplify]: Simplify 1 into 1 23.375 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 23.375 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 23.375 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 23.375 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 23.375 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 23.375 * [taylor]: Taking taylor expansion of -1/2 in x 23.375 * [backup-simplify]: Simplify -1/2 into -1/2 23.375 * [taylor]: Taking taylor expansion of x in x 23.375 * [backup-simplify]: Simplify 0 into 0 23.375 * [backup-simplify]: Simplify 1 into 1 23.375 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 23.375 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 23.375 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 23.375 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 23.375 * [taylor]: Taking taylor expansion of -1/2 in x 23.375 * [backup-simplify]: Simplify -1/2 into -1/2 23.375 * [taylor]: Taking taylor expansion of x in x 23.375 * [backup-simplify]: Simplify 0 into 0 23.375 * [backup-simplify]: Simplify 1 into 1 23.375 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 23.375 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 23.376 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 23.376 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 23.376 * [taylor]: Taking taylor expansion of (/ -1 x) in x 23.376 * [taylor]: Taking taylor expansion of -1 in x 23.376 * [backup-simplify]: Simplify -1 into -1 23.376 * [taylor]: Taking taylor expansion of x in x 23.376 * [backup-simplify]: Simplify 0 into 0 23.376 * [backup-simplify]: Simplify 1 into 1 23.376 * [backup-simplify]: Simplify (/ -1 1) into -1 23.376 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 23.376 * [backup-simplify]: Simplify (* 1 1) into 1 23.376 * [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))) 23.376 * [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))) 23.377 * [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))) 23.377 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 23.377 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 23.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 23.378 * [backup-simplify]: Simplify 0 into 0 23.378 * [backup-simplify]: Simplify (- (/ 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 23.378 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 23.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 23.379 * [backup-simplify]: Simplify 0 into 0 23.380 * [backup-simplify]: Simplify (- (/ 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 23.380 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 23.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 23.382 * [backup-simplify]: Simplify 0 into 0 23.382 * [backup-simplify]: Simplify (- (/ 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 23.383 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 23.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.384 * [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 23.384 * [backup-simplify]: Simplify 0 into 0 23.385 * [backup-simplify]: Simplify (- (/ 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 23.386 * [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 23.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 23.388 * [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 23.388 * [backup-simplify]: Simplify 0 into 0 23.388 * [backup-simplify]: Simplify (- (/ 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 23.389 * [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 23.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 23.392 * [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 23.392 * [backup-simplify]: Simplify 0 into 0 23.392 * [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))) 23.392 * * * [progress]: simplifying candidates 23.392 * * * * [progress]: [ 1 / 102 ] simplifiying candidate # 23.392 * * * * [progress]: [ 2 / 102 ] simplifiying candidate # 23.392 * * * * [progress]: [ 3 / 102 ] simplifiying candidate # 23.392 * * * * [progress]: [ 4 / 102 ] simplifiying candidate # 23.392 * * * * [progress]: [ 5 / 102 ] simplifiying candidate # 23.392 * * * * [progress]: [ 6 / 102 ] simplifiying candidate # 23.392 * * * * [progress]: [ 7 / 102 ] simplifiying candidate # 23.392 * * * * [progress]: [ 8 / 102 ] simplifiying candidate # 23.392 * * * * [progress]: [ 9 / 102 ] simplifiying candidate # 23.392 * * * * [progress]: [ 10 / 102 ] simplifiying candidate # 23.392 * * * * [progress]: [ 11 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 12 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 13 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 14 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 15 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 16 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 17 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 18 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 19 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 20 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 21 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 22 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 23 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 24 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 25 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 26 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 27 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 28 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 29 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 30 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 31 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 32 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 33 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 34 / 102 ] simplifiying candidate #real (real->posit16 (* (sin x) (/ (tan (/ x 2)) x)))) x))> 23.393 * * * * [progress]: [ 35 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 36 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 37 / 102 ] simplifiying candidate # 23.393 * * * * [progress]: [ 38 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 39 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 40 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 41 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 42 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 43 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 44 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 45 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 46 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 47 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 48 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 49 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 50 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 51 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 52 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 53 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 54 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 55 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 56 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 57 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 58 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 59 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 60 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 61 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 62 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 63 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 64 / 102 ] simplifiying candidate # 23.394 * * * * [progress]: [ 65 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 66 / 102 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))) x))> 23.395 * * * * [progress]: [ 67 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 68 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 69 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 70 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 71 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 72 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 73 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 74 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 75 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 76 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 77 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 78 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 79 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 80 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 81 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 82 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 83 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 84 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 85 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 86 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 87 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 88 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 89 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 90 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 91 / 102 ] simplifiying candidate # 23.395 * * * * [progress]: [ 92 / 102 ] simplifiying candidate # 23.396 * * * * [progress]: [ 93 / 102 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (/ (tan (/ x 2)) x)) x))))> 23.396 * * * * [progress]: [ 94 / 102 ] simplifiying candidate # 23.396 * * * * [progress]: [ 95 / 102 ] simplifiying candidate # 23.396 * * * * [progress]: [ 96 / 102 ] simplifiying candidate # 23.396 * * * * [progress]: [ 97 / 102 ] simplifiying candidate # 23.396 * * * * [progress]: [ 98 / 102 ] simplifiying candidate # 23.396 * * * * [progress]: [ 99 / 102 ] simplifiying candidate # 23.396 * * * * [progress]: [ 100 / 102 ] simplifiying candidate # 23.396 * * * * [progress]: [ 101 / 102 ] simplifiying candidate # 23.396 * * * * [progress]: [ 102 / 102 ] simplifiying candidate # 23.397 * [simplify]: Simplifying: (expm1 (* (sin x) (/ (tan (/ x 2)) x))) (log1p (* (sin x) (/ (tan (/ x 2)) x))) (* (sin x) (/ (tan (/ x 2)) x)) (+ (log (sin x)) (- (log (tan (/ x 2))) (log x))) (+ (log (sin x)) (log (/ (tan (/ x 2)) x))) (log (* (sin x) (/ (tan (/ x 2)) x))) (exp (* (sin x) (/ (tan (/ x 2)) x))) (* (* (* (sin x) (sin x)) (sin x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (cbrt (* (sin x) (/ (tan (/ x 2)) x))) (cbrt (* (sin x) (/ (tan (/ x 2)) x)))) (cbrt (* (sin x) (/ (tan (/ x 2)) x))) (* (* (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x))) (* (sin x) (/ (tan (/ x 2)) x))) (sqrt (* (sin x) (/ (tan (/ x 2)) x))) (sqrt (* (sin x) (/ (tan (/ x 2)) x))) (* (sqrt (sin x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (sin x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (sin x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sqrt (sin x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sin x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))) (* (sin x) (sqrt (/ (tan (/ x 2)) x))) (* (sin x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x)))) (* (sin x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))) (* (sin x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)) (* (sin x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))) (* (sin x) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sin x) (/ (sqrt (tan (/ x 2))) 1)) (* (sin x) (/ 1 (* (cbrt x) (cbrt x)))) (* (sin x) (/ 1 (sqrt x))) (* (sin x) (/ 1 1)) (* (sin x) 1) (* (sin x) (tan (/ x 2))) (* (cbrt (sin x)) (/ (tan (/ x 2)) x)) (* (sqrt (sin x)) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (tan (/ x 2))) (real->posit16 (* (sin x) (/ (tan (/ x 2)) x))) (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (- (log (tan (/ x 2))) (log x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (/ (cbrt (tan (/ x 2))) (sqrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1) (/ (cbrt (tan (/ x 2))) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) 1) (/ (sqrt (tan (/ x 2))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) (/ 1 1) (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (sqrt x)) (/ (tan (/ x 2)) 1) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* x (cos (/ x 2))) (real->posit16 (/ (tan (/ x 2)) x)) (expm1 (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (log1p (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (- (+ (log (sin x)) (- (log (tan (/ x 2))) (log x))) (log x)) (- (+ (log (sin x)) (log (/ (tan (/ x 2)) x))) (log x)) (- (log (* (sin x) (/ (tan (/ x 2)) x))) (log x)) (log (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (exp (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (/ (* (* (* (sin x) (sin x)) (sin x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (* x x) x)) (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (* x x) x)) (/ (* (* (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x))) (* (sin x) (/ (tan (/ x 2)) x))) (* (* x x) x)) (* (cbrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (cbrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x))) (cbrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (* (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (sqrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (sqrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (- (* (sin x) (/ (tan (/ x 2)) x))) (- x) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (/ (tan (/ x 2)) x) (cbrt x)) (/ (sin x) (sqrt x)) (/ (/ (tan (/ x 2)) x) (sqrt x)) (/ (sin x) 1) (/ (/ (tan (/ x 2)) x) x) (/ 1 x) (/ x (* (sin x) (/ (tan (/ x 2)) x))) (/ (* (sin x) (/ (tan (/ x 2)) x)) (* (cbrt x) (cbrt x))) (/ (* (sin x) (/ (tan (/ x 2)) x)) (sqrt x)) (/ (* (sin x) (/ (tan (/ x 2)) x)) 1) (/ x (/ (tan (/ x 2)) x)) (* x x) (real->posit16 (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 23.398 * * [simplify]: iteration 1: (154 enodes) 23.434 * * [simplify]: iteration 2: (370 enodes) 23.593 * * [simplify]: iteration 3: (1341 enodes) 29.078 * * [simplify]: Extracting #0: cost 85 inf + 0 29.083 * * [simplify]: Extracting #1: cost 1041 inf + 1 29.099 * * [simplify]: Extracting #2: cost 1907 inf + 15111 29.152 * * [simplify]: Extracting #3: cost 1051 inf + 256833 29.302 * * [simplify]: Extracting #4: cost 186 inf + 571032 29.506 * * [simplify]: Extracting #5: cost 6 inf + 650798 29.693 * * [simplify]: Extracting #6: cost 0 inf + 653456 29.856 * [simplify]: Simplified to: (expm1 (/ (tan (/ x 2)) (/ x (sin x)))) (log1p (/ (tan (/ x 2)) (/ x (sin x)))) (/ (tan (/ x 2)) (/ x (sin x))) (log (/ (tan (/ x 2)) (/ x (sin x)))) (log (/ (tan (/ x 2)) (/ x (sin x)))) (log (/ (tan (/ x 2)) (/ x (sin x)))) (exp (/ (tan (/ x 2)) (/ x (sin x)))) (* (/ (tan (/ x 2)) (/ x (sin x))) (* (/ (tan (/ x 2)) (/ x (sin x))) (/ (tan (/ x 2)) (/ x (sin x))))) (* (/ (tan (/ x 2)) (/ x (sin x))) (* (/ (tan (/ x 2)) (/ x (sin x))) (/ (tan (/ x 2)) (/ x (sin x))))) (* (cbrt (/ (tan (/ x 2)) (/ x (sin x)))) (cbrt (/ (tan (/ x 2)) (/ x (sin x))))) (cbrt (/ (tan (/ x 2)) (/ x (sin x)))) (* (/ (tan (/ x 2)) (/ x (sin x))) (* (/ (tan (/ x 2)) (/ x (sin x))) (/ (tan (/ x 2)) (/ x (sin x))))) (sqrt (/ (tan (/ x 2)) (/ x (sin x)))) (sqrt (/ (tan (/ x 2)) (/ x (sin x)))) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (sin x))) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (sin x))) (/ (sqrt (sin x)) (/ (sqrt x) (sqrt (tan (/ x 2))))) (/ (sqrt (sin x)) (/ (sqrt x) (sqrt (tan (/ x 2))))) (* (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (sin x)) (* (sin x) (sqrt (/ (tan (/ x 2)) x))) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (sin x))) (/ (* (sin x) (cbrt (tan (/ x 2)))) (/ (sqrt x) (cbrt (tan (/ x 2))))) (* (* (sin x) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))) (/ (* (sin x) (sqrt (tan (/ x 2)))) (* (cbrt x) (cbrt x))) (/ (sin x) (/ (sqrt x) (sqrt (tan (/ x 2))))) (* (sin x) (sqrt (tan (/ x 2)))) (/ (/ (sin x) (cbrt x)) (cbrt x)) (/ (sin x) (sqrt x)) (sin x) (sin x) (* (sin x) (tan (/ x 2))) (* (/ (cbrt (sin x)) x) (tan (/ x 2))) (* (sqrt (sin x)) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) (/ x (sin x))) (* (sin x) (tan (/ x 2))) (real->posit16 (/ (tan (/ x 2)) (/ x (sin x)))) (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (* (/ (cbrt (tan (/ x 2))) (sqrt x)) (cbrt (tan (/ x 2)))) (/ (cbrt (tan (/ x 2))) (sqrt x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (cbrt (tan (/ x 2))) x) (/ (/ (sqrt (tan (/ x 2))) (cbrt x)) (cbrt x)) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (tan (/ x 2))) (/ (sqrt (tan (/ x 2))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) 1 (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (sqrt x)) (tan (/ x 2)) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* (cos (/ x 2)) x) (real->posit16 (/ (tan (/ x 2)) x)) (expm1 (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (log1p (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (log (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (log (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (log (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (log (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (exp (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (* (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (* (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (* (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (* (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x))) (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (* (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (sqrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (sqrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (- (sin x)) (/ x (tan (/ x 2)))) (- x) (/ (/ (sin x) (cbrt x)) (cbrt x)) (/ (tan (/ x 2)) (* (cbrt x) x)) (/ (sin x) (sqrt x)) (/ (/ (tan (/ x 2)) x) (sqrt x)) (sin x) (/ (tan (/ x 2)) (* x x)) (/ 1 x) (* x (/ x (* (sin x) (tan (/ x 2))))) (* (/ (tan (/ x 2)) (* (cbrt x) x)) (/ (sin x) (cbrt x))) (/ (/ (tan (/ x 2)) x) (/ (sqrt x) (sin x))) (/ (tan (/ x 2)) (/ x (sin x))) (/ (* x x) (tan (/ x 2))) (* x x) (real->posit16 (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (fma (pow x 5) 1/720 (* x (- 1/2 (* x (* 1/24 x))))) (* (/ (/ (sin x) x) (cos (* 1/2 x))) (sin (* 1/2 x))) (* (/ (/ (sin x) x) (cos (* 1/2 x))) (sin (* 1/2 x))) (fma 1/24 (* x x) (fma (* (* x x) (* x x)) 1/240 1/2)) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (fma (* x x) -1/24 (fma (* (* x x) (* x x)) 1/720 1/2)) (* (/ (sin (* 1/2 x)) (* x x)) (/ (sin x) (cos (* 1/2 x)))) (* (/ (sin (* 1/2 x)) (* x x)) (/ (sin x) (cos (* 1/2 x)))) 29.861 * * * [progress]: adding candidates to table 30.734 * [progress]: [Phase 3 of 3] Extracting. 30.734 * * [regime]: Finding splitpoints for: (# # # # #) 30.735 * * * [regime-changes]: Trying 1 branch expressions: (x) 30.736 * * * * [regimes]: Trying to branch on x from (# # # # #) 30.767 * * * [regime]: Found split indices: #