0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.183 * * * [progress]: [2/2] Setting up program. 0.188 * [progress]: [Phase 2 of 3] Improving. 0.189 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.189 * [simplify]: Simplifying (/ (- 1 (cos x)) (* x x)) 0.189 * * [simplify]: iteration 1: (6 enodes) 0.195 * * [simplify]: iteration 2: (27 enodes) 0.205 * * [simplify]: iteration 3: (45 enodes) 0.219 * * [simplify]: iteration 4: (56 enodes) 0.234 * * [simplify]: iteration 5: (60 enodes) 0.250 * * [simplify]: Extracting #0: cost 1 inf + 0 0.250 * * [simplify]: Extracting #1: cost 9 inf + 0 0.250 * * [simplify]: Extracting #2: cost 19 inf + 42 0.250 * * [simplify]: Extracting #3: cost 17 inf + 629 0.251 * * [simplify]: Extracting #4: cost 7 inf + 1764 0.252 * * [simplify]: Extracting #5: cost 0 inf + 2636 0.253 * [simplify]: Simplified to (/ (- 1 (cos x)) (* x x)) 0.257 * * [progress]: iteration 1 / 4 0.257 * * * [progress]: picking best candidate 0.261 * * * * [pick]: Picked # 0.261 * * * [progress]: localizing error 0.285 * * * [progress]: generating rewritten candidates 0.285 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.327 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.334 * * * [progress]: generating series expansions 0.334 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.338 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2)) 0.338 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0 0.338 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.338 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.339 * [taylor]: Taking taylor expansion of 1 in x 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [taylor]: Taking taylor expansion of (cos x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (- 1) into -1 0.340 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.341 * [backup-simplify]: Simplify (+ 0) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.342 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.342 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.343 * [backup-simplify]: Simplify (* 1 1) into 1 0.343 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.343 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.343 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.343 * [taylor]: Taking taylor expansion of 1 in x 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [taylor]: Taking taylor expansion of (cos x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (- 1) into -1 0.344 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.344 * [backup-simplify]: Simplify (+ 0) into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.345 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.345 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.346 * [backup-simplify]: Simplify (* 1 1) into 1 0.346 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.346 * [backup-simplify]: Simplify 1/2 into 1/2 0.347 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.350 * [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 0.350 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.351 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.352 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.352 * [backup-simplify]: Simplify -1/24 into -1/24 0.353 * [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 0.354 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.358 * [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 0.358 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.359 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.360 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.360 * [backup-simplify]: Simplify 1/720 into 1/720 0.361 * [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))) 0.361 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.361 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 0.362 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.362 * [taylor]: Taking taylor expansion of 1 in x 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.362 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.362 * [taylor]: Taking taylor expansion of 1 in x 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.363 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.363 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.363 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.363 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (- 0) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 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 (- 1 (cos (/ 1 x)))))))) into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (- 0) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.376 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.376 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.376 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.376 * [taylor]: Taking taylor expansion of 1 in x 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.376 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.376 * [taylor]: Taking taylor expansion of -1 in x 0.376 * [backup-simplify]: Simplify -1 into -1 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (/ -1 1) into -1 0.377 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.377 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.377 * [taylor]: Taking taylor expansion of 1 in x 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.377 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.377 * [taylor]: Taking taylor expansion of -1 in x 0.377 * [backup-simplify]: Simplify -1 into -1 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (/ -1 1) into -1 0.378 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.378 * [backup-simplify]: Simplify (* 1 1) into 1 0.378 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.378 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.379 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.379 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.379 * [backup-simplify]: Simplify (- 0) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (- 0) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (- 0) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (- 0) into 0 0.391 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (- 0) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.400 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.400 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.400 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.400 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.400 * [taylor]: Taking taylor expansion of 1 in x 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [taylor]: Taking taylor expansion of (cos x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.400 * [taylor]: Taking taylor expansion of 1 in x 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [taylor]: Taking taylor expansion of (cos x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (- 1) into -1 0.401 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (+ 0) into 0 0.402 * [backup-simplify]: Simplify (- 0) into 0 0.402 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.403 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.404 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.404 * [backup-simplify]: Simplify 1/2 into 1/2 0.404 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.405 * [backup-simplify]: Simplify (- 0) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.406 * [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 0.407 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.407 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.407 * [backup-simplify]: Simplify -1/24 into -1/24 0.408 * [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 0.408 * [backup-simplify]: Simplify (- 0) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.412 * [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 0.412 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.412 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.412 * [backup-simplify]: Simplify 1/720 into 1/720 0.412 * [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))) 0.412 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.413 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.413 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.413 * [taylor]: Taking taylor expansion of 1 in x 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.413 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.413 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.413 * [taylor]: Taking taylor expansion of 1 in x 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.413 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.414 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.414 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.414 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (- 0) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (- 0) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.423 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.423 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.423 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.423 * [taylor]: Taking taylor expansion of 1 in x 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.423 * [taylor]: Taking taylor expansion of -1 in x 0.423 * [backup-simplify]: Simplify -1 into -1 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (/ -1 1) into -1 0.424 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.424 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.424 * [taylor]: Taking taylor expansion of 1 in x 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.424 * [taylor]: Taking taylor expansion of -1 in x 0.424 * [backup-simplify]: Simplify -1 into -1 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (/ -1 1) into -1 0.424 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.424 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.424 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.424 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.425 * [backup-simplify]: Simplify (- 0) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (- 0) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.427 * * * [progress]: simplifying candidates 0.427 * * * * [progress]: [ 1 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 2 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 3 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 4 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 5 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 6 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 7 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 8 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 9 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 10 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 11 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 12 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 13 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 14 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 15 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 16 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 17 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 18 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 19 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 20 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 21 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 22 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 23 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 24 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 25 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 26 / 53 ] simplifiying candidate # 0.428 * * * * [progress]: [ 27 / 53 ] simplifiying candidate # 0.429 * * * * [progress]: [ 28 / 53 ] simplifiying candidate # 0.429 * * * * [progress]: [ 29 / 53 ] simplifiying candidate # 0.431 * * * * [progress]: [ 30 / 53 ] simplifiying candidate # 0.431 * * * * [progress]: [ 31 / 53 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.431 * * * * [progress]: [ 32 / 53 ] simplifiying candidate # 0.431 * * * * [progress]: [ 33 / 53 ] simplifiying candidate # 0.431 * * * * [progress]: [ 34 / 53 ] simplifiying candidate # 0.431 * * * * [progress]: [ 35 / 53 ] simplifiying candidate # 0.431 * * * * [progress]: [ 36 / 53 ] simplifiying candidate # 0.431 * * * * [progress]: [ 37 / 53 ] simplifiying candidate # 0.431 * * * * [progress]: [ 38 / 53 ] simplifiying candidate # 0.431 * * * * [progress]: [ 39 / 53 ] simplifiying candidate # 0.431 * * * * [progress]: [ 40 / 53 ] simplifiying candidate # 0.431 * * * * [progress]: [ 41 / 53 ] simplifiying candidate # 0.431 * * * * [progress]: [ 42 / 53 ] simplifiying candidate # 0.431 * * * * [progress]: [ 43 / 53 ] simplifiying candidate # 0.431 * * * * [progress]: [ 44 / 53 ] simplifiying candidate # 0.431 * * * * [progress]: [ 45 / 53 ] simplifiying candidate # 0.431 * * * * [progress]: [ 46 / 53 ] simplifiying candidate # 0.431 * * * * [progress]: [ 47 / 53 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.432 * * * * [progress]: [ 48 / 53 ] simplifiying candidate # 0.432 * * * * [progress]: [ 49 / 53 ] simplifiying candidate # 0.432 * * * * [progress]: [ 50 / 53 ] simplifiying candidate # 0.432 * * * * [progress]: [ 51 / 53 ] simplifiying candidate # 0.432 * * * * [progress]: [ 52 / 53 ] simplifiying candidate # 0.432 * * * * [progress]: [ 53 / 53 ] simplifiying candidate # 0.432 * [simplify]: Simplifying (- (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))), (/ (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)) 0.433 * * [simplify]: iteration 1: (93 enodes) 0.462 * * [simplify]: iteration 2: (380 enodes) 0.585 * * [simplify]: iteration 3: (807 enodes) 0.917 * * [simplify]: iteration 4: (1827 enodes) 2.421 * * [simplify]: Extracting #0: cost 42 inf + 0 2.422 * * [simplify]: Extracting #1: cost 301 inf + 0 2.425 * * [simplify]: Extracting #2: cost 812 inf + 2283 2.432 * * [simplify]: Extracting #3: cost 803 inf + 23458 2.499 * * [simplify]: Extracting #4: cost 214 inf + 164932 2.599 * * [simplify]: Extracting #5: cost 8 inf + 216795 2.684 * * [simplify]: Extracting #6: cost 0 inf + 220085 2.743 * [simplify]: Simplified to (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))) (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), (/ (+ 1 (sqrt (cos x))) x), (/ (- 1 (sqrt (cos x))) x), (/ (+ 1 (sqrt (cos x))) x), (/ (- 1 (sqrt (cos x))) x), (/ 1 x), (/ (- 1 (cos x)) x), (/ (/ 1 x) x), (/ (* x 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 x) (- 1 (sqrt (cos x)))), (/ (* x x) (- 1 (sqrt (cos x)))), (/ (* x x) (- 1 (cos x))), (+ (* x x) (* (* x x) (+ (* (cos x) (cos x)) (cos x)))), (+ (* x x) (* (* x x) (cos x))), (real->posit16 (/ (- 1 (cos x)) (* x x))), (exp (- 1 (cos x))), (log (- 1 (cos x))), (exp (- 1 (cos x))), (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))), (cbrt (- 1 (cos x))), (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))), (sqrt (- 1 (cos x))), (sqrt (- 1 (cos x))), (- 1 (* (* (cos x) (cos x)) (cos x))), (+ (* (cos x) (cos x)) (+ (cos x) 1)), (- (cos x)), (* (sin x) (sin x)), (+ (cos x) 1), (+ 1 (sqrt (cos x))), (- 1 (sqrt (cos x))), (+ 1 (sqrt (cos x))), (- 1 (sqrt (cos x))), (- 1 (cos x)), (- (cos x)), (real->posit16 (- 1 (cos x))), (+ (- 1/2 (* (* x x) 1/24)) (* 1/720 (* (* x x) (* x x)))), (/ (- 1 (cos x)) (* x x)), (/ (- 1 (cos x)) (* x x)), (* (* x x) (+ (- 1/2 (* (* x x) 1/24)) (* 1/720 (* (* x x) (* x x))))), (- 1 (cos x)), (- 1 (cos x)) 2.745 * * * [progress]: adding candidates to table 3.212 * * [progress]: iteration 2 / 4 3.212 * * * [progress]: picking best candidate 3.231 * * * * [pick]: Picked # 3.231 * * * [progress]: localizing error 3.256 * * * [progress]: generating rewritten candidates 3.256 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.284 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.290 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.305 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.324 * * * [progress]: generating series expansions 3.324 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.325 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 3.325 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 3.325 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 3.325 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.325 * [taylor]: Taking taylor expansion of (sin x) in x 3.325 * [taylor]: Taking taylor expansion of x in x 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 1 into 1 3.327 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.327 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 3.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.327 * [taylor]: Taking taylor expansion of x in x 3.327 * [backup-simplify]: Simplify 0 into 0 3.327 * [backup-simplify]: Simplify 1 into 1 3.327 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.327 * [taylor]: Taking taylor expansion of (cos x) in x 3.327 * [taylor]: Taking taylor expansion of x in x 3.327 * [backup-simplify]: Simplify 0 into 0 3.327 * [backup-simplify]: Simplify 1 into 1 3.327 * [taylor]: Taking taylor expansion of 1 in x 3.328 * [backup-simplify]: Simplify 1 into 1 3.328 * [backup-simplify]: Simplify (* 1 1) into 1 3.328 * [backup-simplify]: Simplify (* 1 1) into 1 3.329 * [backup-simplify]: Simplify (+ 1 1) into 2 3.329 * [backup-simplify]: Simplify (* 1 2) into 2 3.330 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.330 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 3.330 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.330 * [taylor]: Taking taylor expansion of (sin x) in x 3.330 * [taylor]: Taking taylor expansion of x in x 3.330 * [backup-simplify]: Simplify 0 into 0 3.330 * [backup-simplify]: Simplify 1 into 1 3.331 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.331 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 3.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.331 * [taylor]: Taking taylor expansion of x in x 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 1 into 1 3.331 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.331 * [taylor]: Taking taylor expansion of (cos x) in x 3.331 * [taylor]: Taking taylor expansion of x in x 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 1 into 1 3.331 * [taylor]: Taking taylor expansion of 1 in x 3.331 * [backup-simplify]: Simplify 1 into 1 3.331 * [backup-simplify]: Simplify (* 1 1) into 1 3.332 * [backup-simplify]: Simplify (* 1 1) into 1 3.332 * [backup-simplify]: Simplify (+ 1 1) into 2 3.333 * [backup-simplify]: Simplify (* 1 2) into 2 3.333 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.333 * [backup-simplify]: Simplify 1/2 into 1/2 3.334 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.335 * [backup-simplify]: Simplify (+ 0) into 0 3.336 * [backup-simplify]: Simplify (+ 0 0) into 0 3.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 3.338 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 3.338 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.341 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 3.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.342 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.344 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 3.346 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 3.346 * [backup-simplify]: Simplify -1/24 into -1/24 3.348 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 3.350 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.351 * [backup-simplify]: Simplify (+ 0 0) into 0 3.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 3.355 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 3.355 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 3.360 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 3.363 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.363 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 3.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.367 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 3.370 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 3.370 * [backup-simplify]: Simplify 1/720 into 1/720 3.370 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 3.370 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) 3.370 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 3.370 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 3.371 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 3.371 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.371 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.371 * [taylor]: Taking taylor expansion of x in x 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify 1 into 1 3.371 * [backup-simplify]: Simplify (/ 1 1) into 1 3.371 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.372 * [taylor]: Taking taylor expansion of x in x 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify 1 into 1 3.372 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.372 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.372 * [taylor]: Taking taylor expansion of x in x 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify 1 into 1 3.372 * [backup-simplify]: Simplify (/ 1 1) into 1 3.372 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.372 * [taylor]: Taking taylor expansion of 1 in x 3.372 * [backup-simplify]: Simplify 1 into 1 3.372 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.373 * [backup-simplify]: Simplify (* 1 1) into 1 3.373 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 3.373 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.373 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.373 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 3.373 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 3.373 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.373 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.373 * [taylor]: Taking taylor expansion of x in x 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify 1 into 1 3.374 * [backup-simplify]: Simplify (/ 1 1) into 1 3.374 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.374 * [taylor]: Taking taylor expansion of x in x 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 1 into 1 3.374 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.374 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.374 * [taylor]: Taking taylor expansion of x in x 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 1 into 1 3.374 * [backup-simplify]: Simplify (/ 1 1) into 1 3.374 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.374 * [taylor]: Taking taylor expansion of 1 in x 3.375 * [backup-simplify]: Simplify 1 into 1 3.375 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.375 * [backup-simplify]: Simplify (* 1 1) into 1 3.375 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 3.375 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.375 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.375 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.376 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 3.376 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 3.376 * [backup-simplify]: Simplify (+ 0 0) into 0 3.377 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.377 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.378 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 3.378 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.378 * [backup-simplify]: Simplify (+ 0 0) into 0 3.378 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.380 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 3.380 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.380 * [backup-simplify]: Simplify (+ 0 0) into 0 3.381 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.382 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 3.383 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.383 * [backup-simplify]: Simplify (+ 0 0) into 0 3.384 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.385 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 3.386 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.386 * [backup-simplify]: Simplify (+ 0 0) into 0 3.387 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.389 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 3.390 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.390 * [backup-simplify]: Simplify (+ 0 0) into 0 3.390 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.390 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 3.391 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) 3.391 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 3.391 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 3.391 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 3.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.391 * [taylor]: Taking taylor expansion of x in x 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 1 into 1 3.391 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.391 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.391 * [taylor]: Taking taylor expansion of -1 in x 3.391 * [backup-simplify]: Simplify -1 into -1 3.391 * [taylor]: Taking taylor expansion of x in x 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 1 into 1 3.391 * [backup-simplify]: Simplify (/ -1 1) into -1 3.391 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.391 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.391 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.391 * [taylor]: Taking taylor expansion of -1 in x 3.391 * [backup-simplify]: Simplify -1 into -1 3.391 * [taylor]: Taking taylor expansion of x in x 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 1 into 1 3.392 * [backup-simplify]: Simplify (/ -1 1) into -1 3.392 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.392 * [taylor]: Taking taylor expansion of 1 in x 3.392 * [backup-simplify]: Simplify 1 into 1 3.392 * [backup-simplify]: Simplify (* 1 1) into 1 3.392 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.392 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 3.392 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.392 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.392 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 3.392 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 3.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.392 * [taylor]: Taking taylor expansion of x in x 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.393 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.393 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.393 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.393 * [taylor]: Taking taylor expansion of -1 in x 3.393 * [backup-simplify]: Simplify -1 into -1 3.393 * [taylor]: Taking taylor expansion of x in x 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.393 * [backup-simplify]: Simplify (/ -1 1) into -1 3.393 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.393 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.393 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.393 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.393 * [taylor]: Taking taylor expansion of -1 in x 3.393 * [backup-simplify]: Simplify -1 into -1 3.393 * [taylor]: Taking taylor expansion of x in x 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.393 * [backup-simplify]: Simplify (/ -1 1) into -1 3.393 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.393 * [taylor]: Taking taylor expansion of 1 in x 3.393 * [backup-simplify]: Simplify 1 into 1 3.394 * [backup-simplify]: Simplify (* 1 1) into 1 3.394 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.394 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 3.394 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.394 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.394 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.394 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 3.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 3.395 * [backup-simplify]: Simplify (+ 0 0) into 0 3.395 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.395 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 3.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 3.397 * [backup-simplify]: Simplify (+ 0 0) into 0 3.397 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 3.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 3.399 * [backup-simplify]: Simplify (+ 0 0) into 0 3.400 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.400 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 3.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 3.402 * [backup-simplify]: Simplify (+ 0 0) into 0 3.403 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 3.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 3.410 * [backup-simplify]: Simplify (+ 0 0) into 0 3.410 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 3.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 3.414 * [backup-simplify]: Simplify (+ 0 0) into 0 3.414 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.414 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 3.415 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.415 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 3.415 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 3.415 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.415 * [taylor]: Taking taylor expansion of (cos x) in x 3.415 * [taylor]: Taking taylor expansion of x in x 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [taylor]: Taking taylor expansion of 1 in x 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.415 * [taylor]: Taking taylor expansion of (cos x) in x 3.415 * [taylor]: Taking taylor expansion of x in x 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [taylor]: Taking taylor expansion of 1 in x 3.415 * [backup-simplify]: Simplify 1 into 1 3.416 * [backup-simplify]: Simplify (+ 1 1) into 2 3.416 * [backup-simplify]: Simplify 2 into 2 3.416 * [backup-simplify]: Simplify (+ 0) into 0 3.416 * [backup-simplify]: Simplify (+ 0 0) into 0 3.416 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.418 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.418 * [backup-simplify]: Simplify -1/2 into -1/2 3.419 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.420 * [backup-simplify]: Simplify (+ 0 0) into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.423 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 3.424 * [backup-simplify]: Simplify 1/24 into 1/24 3.424 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2)) into (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) 3.424 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 3.424 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 3.424 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.424 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.424 * [taylor]: Taking taylor expansion of x in x 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.425 * [backup-simplify]: Simplify (/ 1 1) into 1 3.425 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.425 * [taylor]: Taking taylor expansion of 1 in x 3.425 * [backup-simplify]: Simplify 1 into 1 3.425 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.425 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.425 * [taylor]: Taking taylor expansion of x in x 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 1 into 1 3.426 * [backup-simplify]: Simplify (/ 1 1) into 1 3.426 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.426 * [taylor]: Taking taylor expansion of 1 in x 3.426 * [backup-simplify]: Simplify 1 into 1 3.426 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.426 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.427 * [backup-simplify]: Simplify (+ 0 0) into 0 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify (+ 0 0) into 0 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify (+ 0 0) into 0 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify (+ 0 0) into 0 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify (+ 0 0) into 0 3.428 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify (+ 0 0) into 0 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 3.429 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 3.429 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 3.429 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.429 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.429 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.429 * [taylor]: Taking taylor expansion of -1 in x 3.429 * [backup-simplify]: Simplify -1 into -1 3.429 * [taylor]: Taking taylor expansion of x in x 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify 1 into 1 3.430 * [backup-simplify]: Simplify (/ -1 1) into -1 3.430 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.430 * [taylor]: Taking taylor expansion of 1 in x 3.430 * [backup-simplify]: Simplify 1 into 1 3.430 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.430 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.430 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.430 * [taylor]: Taking taylor expansion of -1 in x 3.430 * [backup-simplify]: Simplify -1 into -1 3.430 * [taylor]: Taking taylor expansion of x in x 3.430 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify 1 into 1 3.431 * [backup-simplify]: Simplify (/ -1 1) into -1 3.431 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.431 * [taylor]: Taking taylor expansion of 1 in x 3.431 * [backup-simplify]: Simplify 1 into 1 3.431 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.431 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.431 * [backup-simplify]: Simplify (+ 0 0) into 0 3.431 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify (+ 0 0) into 0 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify (+ 0 0) into 0 3.432 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify (+ 0 0) into 0 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify (+ 0 0) into 0 3.433 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify (+ 0 0) into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 3.434 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.434 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 3.434 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 3.434 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.434 * [taylor]: Taking taylor expansion of (sin x) in x 3.434 * [taylor]: Taking taylor expansion of x in x 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 1 into 1 3.435 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.435 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.435 * [taylor]: Taking taylor expansion of (sin x) in x 3.435 * [taylor]: Taking taylor expansion of x in x 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify 1 into 1 3.436 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.436 * [backup-simplify]: Simplify (* 1 1) into 1 3.436 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.438 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.440 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 3.441 * [backup-simplify]: Simplify -1/3 into -1/3 3.442 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 3.444 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 3.449 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 3.449 * [backup-simplify]: Simplify 2/45 into 2/45 3.449 * [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))) 3.450 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.450 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 3.450 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.450 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.450 * [taylor]: Taking taylor expansion of x in x 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.450 * [backup-simplify]: Simplify (/ 1 1) into 1 3.450 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.450 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.450 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.450 * [taylor]: Taking taylor expansion of x in x 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (/ 1 1) into 1 3.451 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.451 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.451 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 3.451 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 3.451 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 3.452 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 3.453 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 3.454 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 3.456 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 3.458 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 3.458 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 3.458 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.458 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.458 * [taylor]: Taking taylor expansion of -1 in x 3.458 * [backup-simplify]: Simplify -1 into -1 3.458 * [taylor]: Taking taylor expansion of x in x 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 1 into 1 3.459 * [backup-simplify]: Simplify (/ -1 1) into -1 3.459 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.459 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.459 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.459 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.459 * [taylor]: Taking taylor expansion of -1 in x 3.459 * [backup-simplify]: Simplify -1 into -1 3.459 * [taylor]: Taking taylor expansion of x in x 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 1 into 1 3.460 * [backup-simplify]: Simplify (/ -1 1) into -1 3.460 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.460 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.460 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 3.460 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 3.460 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 3.461 * [backup-simplify]: Simplify 0 into 0 3.462 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 3.462 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 3.465 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 3.467 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.467 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 3.467 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 3.467 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 3.467 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.467 * [taylor]: Taking taylor expansion of (sin x) in x 3.467 * [taylor]: Taking taylor expansion of x in x 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify 1 into 1 3.468 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.468 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.468 * [taylor]: Taking taylor expansion of (cos x) in x 3.468 * [taylor]: Taking taylor expansion of x in x 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 1 into 1 3.468 * [taylor]: Taking taylor expansion of 1 in x 3.468 * [backup-simplify]: Simplify 1 into 1 3.468 * [backup-simplify]: Simplify (* 1 1) into 1 3.469 * [backup-simplify]: Simplify (+ 1 1) into 2 3.469 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.469 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 3.469 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.469 * [taylor]: Taking taylor expansion of (sin x) in x 3.469 * [taylor]: Taking taylor expansion of x in x 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.470 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.470 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.470 * [taylor]: Taking taylor expansion of (cos x) in x 3.470 * [taylor]: Taking taylor expansion of x in x 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 1 into 1 3.470 * [taylor]: Taking taylor expansion of 1 in x 3.470 * [backup-simplify]: Simplify 1 into 1 3.470 * [backup-simplify]: Simplify (* 1 1) into 1 3.471 * [backup-simplify]: Simplify (+ 1 1) into 2 3.471 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.471 * [backup-simplify]: Simplify 1/2 into 1/2 3.472 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.473 * [backup-simplify]: Simplify (+ 0) into 0 3.473 * [backup-simplify]: Simplify (+ 0 0) into 0 3.474 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 3.474 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.476 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 3.477 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.477 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.479 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 3.479 * [backup-simplify]: Simplify -1/24 into -1/24 3.480 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 3.483 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.483 * [backup-simplify]: Simplify (+ 0 0) into 0 3.484 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 3.484 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 3.489 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 3.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.493 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 3.495 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 3.495 * [backup-simplify]: Simplify 1/720 into 1/720 3.495 * [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))) 3.495 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.495 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 3.495 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 3.495 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.495 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.495 * [taylor]: Taking taylor expansion of x in x 3.495 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify 1 into 1 3.496 * [backup-simplify]: Simplify (/ 1 1) into 1 3.496 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.496 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.496 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.496 * [taylor]: Taking taylor expansion of x in x 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 1 into 1 3.496 * [backup-simplify]: Simplify (/ 1 1) into 1 3.497 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.497 * [taylor]: Taking taylor expansion of 1 in x 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.497 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.497 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.497 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 3.497 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.497 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.497 * [taylor]: Taking taylor expansion of x in x 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.498 * [backup-simplify]: Simplify (/ 1 1) into 1 3.498 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.498 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.498 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.498 * [taylor]: Taking taylor expansion of x in x 3.498 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify 1 into 1 3.498 * [backup-simplify]: Simplify (/ 1 1) into 1 3.499 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.499 * [taylor]: Taking taylor expansion of 1 in x 3.499 * [backup-simplify]: Simplify 1 into 1 3.499 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.499 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.499 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.500 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.500 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 3.500 * [backup-simplify]: Simplify (+ 0 0) into 0 3.501 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 3.502 * [backup-simplify]: Simplify (+ 0 0) into 0 3.502 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.502 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 3.503 * [backup-simplify]: Simplify (+ 0 0) into 0 3.504 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 3.506 * [backup-simplify]: Simplify (+ 0 0) into 0 3.507 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.507 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 3.509 * [backup-simplify]: Simplify (+ 0 0) into 0 3.510 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.510 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 3.513 * [backup-simplify]: Simplify (+ 0 0) into 0 3.514 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 3.514 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.514 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 3.514 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 3.514 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.514 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.514 * [taylor]: Taking taylor expansion of -1 in x 3.515 * [backup-simplify]: Simplify -1 into -1 3.515 * [taylor]: Taking taylor expansion of x in x 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [backup-simplify]: Simplify (/ -1 1) into -1 3.515 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.515 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.515 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.515 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.515 * [taylor]: Taking taylor expansion of -1 in x 3.515 * [backup-simplify]: Simplify -1 into -1 3.515 * [taylor]: Taking taylor expansion of x in x 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.516 * [backup-simplify]: Simplify (/ -1 1) into -1 3.516 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.516 * [taylor]: Taking taylor expansion of 1 in x 3.516 * [backup-simplify]: Simplify 1 into 1 3.516 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.516 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.516 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.516 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 3.516 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.516 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.517 * [taylor]: Taking taylor expansion of -1 in x 3.517 * [backup-simplify]: Simplify -1 into -1 3.517 * [taylor]: Taking taylor expansion of x in x 3.517 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify 1 into 1 3.517 * [backup-simplify]: Simplify (/ -1 1) into -1 3.517 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.517 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.517 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.517 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.517 * [taylor]: Taking taylor expansion of -1 in x 3.517 * [backup-simplify]: Simplify -1 into -1 3.517 * [taylor]: Taking taylor expansion of x in x 3.517 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify 1 into 1 3.518 * [backup-simplify]: Simplify (/ -1 1) into -1 3.518 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.518 * [taylor]: Taking taylor expansion of 1 in x 3.518 * [backup-simplify]: Simplify 1 into 1 3.518 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.518 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.518 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.519 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.519 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 3.519 * [backup-simplify]: Simplify (+ 0 0) into 0 3.520 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.520 * [backup-simplify]: Simplify 0 into 0 3.520 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 3.521 * [backup-simplify]: Simplify (+ 0 0) into 0 3.521 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.521 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 3.523 * [backup-simplify]: Simplify (+ 0 0) into 0 3.524 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.524 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 3.525 * [backup-simplify]: Simplify (+ 0 0) into 0 3.526 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.526 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 3.528 * [backup-simplify]: Simplify (+ 0 0) into 0 3.529 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.529 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 3.531 * [backup-simplify]: Simplify (+ 0 0) into 0 3.532 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.532 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 3.533 * * * [progress]: simplifying candidates 3.533 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 3.533 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 3.533 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 3.533 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 3.533 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 3.533 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 3.533 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 3.533 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 3.533 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 3.533 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 3.533 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 3.533 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 3.534 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 3.534 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 3.534 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 3.534 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 3.534 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 3.534 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 3.534 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 3.534 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 3.534 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 3.534 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 3.534 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 3.534 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 3.534 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 3.534 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 3.535 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 3.535 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 3.535 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 3.535 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 3.535 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 3.535 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 3.535 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 3.535 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 3.535 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 3.535 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 3.535 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 3.535 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 3.535 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 3.535 * * * * [progress]: [ 40 / 127 ] simplifiying candidate # 3.535 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 3.536 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 3.536 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 3.536 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 3.536 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 3.536 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 3.536 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 3.536 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 3.536 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 3.536 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 3.536 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 3.536 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 3.536 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 3.536 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 3.537 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 3.537 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 3.537 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 3.537 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 3.537 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 3.537 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 3.537 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 3.537 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 3.537 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 3.537 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 3.537 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 3.537 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 3.537 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 3.537 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 3.537 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 3.538 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 3.538 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 3.538 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 3.538 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 3.538 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 3.538 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 3.538 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 3.538 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 3.538 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 3.538 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 3.538 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 3.538 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 3.538 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 3.538 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 3.538 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 3.539 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 3.539 * * * * [progress]: [ 86 / 127 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 3.539 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 3.539 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 3.539 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 3.539 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 3.539 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 3.539 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 3.539 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 3.539 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 3.539 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 3.539 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 3.539 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 3.539 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 3.539 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 3.540 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 3.540 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 3.540 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 3.540 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 3.540 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 3.540 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 3.540 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 3.540 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 3.540 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 3.540 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 3.540 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 3.540 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 3.540 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 3.540 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 3.540 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 3.540 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 3.541 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 3.541 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 3.541 * * * * [progress]: [ 118 / 127 ] simplifiying candidate # 3.541 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 3.541 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 3.541 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 3.541 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 3.541 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 3.541 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 3.541 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 3.541 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 3.541 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 3.543 * [simplify]: Simplifying (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))), (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x))), (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))), (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x))), (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x))), (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x))), (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))), (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))), (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))), (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))), (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))), (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))), (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))), (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (- (* x x)), (/ (/ 1/2 (+ 1 (cos x))) (* x x)), (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x)), (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x), (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x), (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x), (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x), (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x), (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x), (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x), (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x), (/ (/ (sin x) 1) x), (/ (/ (sin x) (+ 1 (cos x))) x), (/ (/ (sin x) 1) x), (/ (/ (sin x) (+ 1 (cos x))) x), (/ 1 x), (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x), (/ (* (sin x) (sin x)) x), (/ (/ 1 (+ 1 (cos x))) x), (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x), (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x), (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x), (/ (- 1 (cos x)) x), (/ 1 (* x x)), (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x), (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))), (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))), (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x))))), (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x))))), (/ (* x x) (/ (sin x) (+ 1 (cos x)))), (/ (* x x) (/ (sin x) (+ 1 (cos x)))), (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (/ (* x x) (/ 1 (+ 1 (cos x)))), (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))), (/ (* x x) (- 1 (cos x))), (* (* x x) (+ 1 (cos x))), (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (* (exp 1) (exp (cos x))), (log (+ 1 (cos x))), (exp (+ 1 (cos x))), (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))), (cbrt (+ 1 (cos x))), (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))), (sqrt (+ 1 (cos x))), (sqrt (+ 1 (cos x))), (+ (pow 1 3) (pow (cos x) 3)), (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))), (- (* 1 1) (* (cos x) (cos x))), (- 1 (cos x)), (+ 1 (cos x)), (real->posit16 (+ 1 (cos x))), (* 1/2 (cos (* 2 x))), (- (cos (- x x)) (cos (+ x x))), (+ 1 1), (* (sin x) (sin x)), (+ 1 1), (+ (log (sin x)) (log (sin x))), (log (* (sin x) (sin x))), (exp (* (sin x) (sin x))), (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))), (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))), (cbrt (* (sin x) (sin x))), (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))), (sqrt (* (sin x) (sin x))), (sqrt (* (sin x) (sin x))), (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x)))), (* (cbrt (sin x)) (cbrt (sin x))), (* (sqrt (sin x)) (sqrt (sin x))), (* (sqrt (sin x)) (sqrt (sin x))), (* 1 1), (* (sin x) (sin x)), (* (sqrt (sin x)) (sqrt (sin x))), (* (sqrt (sin x)) (sqrt (sin x))), (* 2 1), (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))), (* (sin x) (sqrt (sin x))), (* (sin x) 1), (* (cbrt (sin x)) (sin x)), (* (sqrt (sin x)) (sin x)), (* (sin x) (sin x)), (real->posit16 (* (sin x) (sin x))), (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))), (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))), (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (exp (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))), (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))), (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))), (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (- (* (sin x) (sin x))), (- (+ 1 (cos x))), (/ 1/2 (+ 1 (cos x))), (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))), (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))), (/ (sin x) (cbrt (+ 1 (cos x)))), (/ (sin x) (sqrt (+ 1 (cos x)))), (/ (sin x) (sqrt (+ 1 (cos x)))), (/ (sin x) 1), (/ (sin x) (+ 1 (cos x))), (/ (sin x) 1), (/ (sin x) (+ 1 (cos x))), (/ 1 (+ 1 (cos x))), (/ (+ 1 (cos x)) (* (sin x) (sin x))), (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))), (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))), (/ (* (sin x) (sin x)) 1), (/ (* (sin x) (sin x)) 1), (/ (+ 1 (cos x)) (sin x)), (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))), (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))), (* (+ 1 (cos x)) 2), (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))), (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))), (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))), (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))), (+ (cos x) 1), (+ (cos x) 1), (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))), (pow (sin x) 2), (pow (sin x) 2), (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))), (/ (pow (sin x) 2) (+ (cos x) 1)), (/ (pow (sin x) 2) (+ (cos x) 1)) 3.547 * * [simplify]: iteration 1: (182 enodes) 3.619 * * [simplify]: iteration 2: (791 enodes) 3.891 * * [simplify]: Extracting #0: cost 97 inf + 0 3.892 * * [simplify]: Extracting #1: cost 578 inf + 2 3.897 * * [simplify]: Extracting #2: cost 794 inf + 12300 3.925 * * [simplify]: Extracting #3: cost 341 inf + 120692 3.973 * * [simplify]: Extracting #4: cost 36 inf + 200887 4.013 * * [simplify]: Extracting #5: cost 2 inf + 205711 4.434 * * [simplify]: Extracting #6: cost 0 inf + 206226 4.496 * [simplify]: Simplified to (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (exp (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (/ (* (* (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))) (* (* (* x x) (* x x)) (* x x))), (/ (* (* (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))) (* (* (* x x) (* x x)) (* x x))), (/ (* (* (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))) (* (* (* x x) (* x x)) (* x x))), (/ (* (* (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))) (* (* (* x x) (* x x)) (* x x))), (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))))), (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))))), (* (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))))), (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))))), (sqrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (sqrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (* x (- x)), (/ 1/2 (+ (* x x) (* (* x x) (cos x)))), (/ (* (cos (* x 2)) 1/2) (+ (* (* x x) (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) x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))), (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x), (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x), (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x), (/ (sin x) x), (/ (tan (/ x 2)) x), (/ (sin x) x), (/ (tan (/ x 2)) x), (/ 1 x), (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x), (* (/ (sin x) x) (sin x)), (/ (/ 1 x) (+ 1 (cos x))), (/ (/ (* (sin x) (sin x)) x) (+ (* (cos x) (* (cos x) (cos x))) 1)), (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x), (/ (/ (* (sin x) (sin x)) x) (* (sin x) (sin x))), (/ (- 1 (cos x)) x), (/ 1 (* x x)), (* (* (/ x (sin x)) (/ x (sin x))) (+ 1 (cos x))), (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x), (* (/ x (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x), (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))), (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x))))), (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x))))), (/ (* x x) (tan (/ x 2))), (/ (* x x) (tan (/ x 2))), (* (* (/ x (sin x)) (/ x (sin x))) (+ 1 (cos x))), (+ (* x x) (* (* x x) (cos x))), (/ (* x x) (+ (* (cos x) (cos x)) (- 1 (cos x)))), (/ x (/ (- 1 (cos x)) x)), (+ (* x x) (* (* x x) (cos x))), (real->posit16 (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (exp (+ 1 (cos x))), (log (+ 1 (cos x))), (exp (+ 1 (cos x))), (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))), (cbrt (+ 1 (cos x))), (* (+ 1 (cos x)) (* (+ 1 (cos x)) (+ 1 (cos x)))), (sqrt (+ 1 (cos x))), (sqrt (+ 1 (cos x))), (+ (* (cos x) (* (cos x) (cos x))) 1), (+ (* (cos x) (cos x)) (- 1 (cos x))), (* (sin x) (sin x)), (- 1 (cos x)), (+ 1 (cos x)), (real->posit16 (+ 1 (cos x))), (* (cos (* x 2)) 1/2), (- 1 (cos (+ x x))), 2, (* (sin x) (sin x)), 2, (+ (log (sin x)) (log (sin x))), (+ (log (sin x)) (log (sin x))), (exp (* (sin x) (sin x))), (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))), (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))), (cbrt (* (sin x) (sin x))), (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))), (fabs (sin x)), (fabs (sin x)), (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x)))), (* (cbrt (sin x)) (cbrt (sin x))), (sin x), (sin x), 1, (* (sin x) (sin x)), (sin x), (sin x), 2, (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))), (* (sin x) (sqrt (sin x))), (sin x), (* (sin x) (cbrt (sin x))), (* (sin x) (sqrt (sin x))), (* (sin x) (sin x)), (real->posit16 (* (sin x) (sin x))), (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (exp (/ (* (sin x) (sin x)) (+ 1 (cos 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)) (sin x))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))) (/ (sin x) (/ (+ 1 (cos x)) (sin 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 (+ 1 (cos x))) (cos (* x 2))), (/ (/ (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), (tan (/ x 2)), (sin x), (tan (/ x 2)), (/ 1 (+ 1 (cos x))), (/ (+ 1 (cos x)) (* (sin x) (sin x))), (* (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x))))), (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))), (* (sin x) (sin x)), (* (sin x) (sin x)), (/ (+ 1 (cos x)) (sin x)), (/ (* (sin x) (sin x)) (+ (* (cos x) (* (cos x) (cos x))) 1)), (/ (* (sin x) (sin x)) (* (sin x) (sin x))), (+ (* 2 (cos x)) 2), (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (+ (+ 1/2 (* (* (* x x) (* x x)) 1/720)) (* (* x x) -1/24)), (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))), (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))), (+ (+ (* 1/24 (* (* x x) (* x x))) 2) (* -1/2 (* x x))), (+ 1 (cos x)), (+ 1 (cos x)), (+ (* (* (* x x) (* x x)) -1/3) (+ (* x x) (* (* (* (* x x) (* x x)) (* x x)) 2/45))), (* (sin x) (sin x)), (* (sin x) (sin x)), (+ (+ (* (* (* (* x x) (* x x)) (* x x)) 1/720) (* (* (* x x) (* x x)) -1/24)) (* (* 1/2 x) x)), (/ (sin x) (/ (+ 1 (cos x)) (sin x))), (/ (sin x) (/ (+ 1 (cos x)) (sin x))) 4.502 * * * [progress]: adding candidates to table 5.689 * * [progress]: iteration 3 / 4 5.689 * * * [progress]: picking best candidate 5.703 * * * * [pick]: Picked # 5.703 * * * [progress]: localizing error 5.730 * * * [progress]: generating rewritten candidates 5.730 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 5.743 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 5.754 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 5.775 * * * [progress]: generating series expansions 5.775 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 5.775 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 5.775 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 5.775 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 5.775 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.776 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.776 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.776 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.776 * [taylor]: Taking taylor expansion of 1/2 in x 5.776 * [backup-simplify]: Simplify 1/2 into 1/2 5.776 * [taylor]: Taking taylor expansion of x in x 5.776 * [backup-simplify]: Simplify 0 into 0 5.776 * [backup-simplify]: Simplify 1 into 1 5.777 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.777 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.777 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.777 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.777 * [taylor]: Taking taylor expansion of 1/2 in x 5.777 * [backup-simplify]: Simplify 1/2 into 1/2 5.777 * [taylor]: Taking taylor expansion of x in x 5.777 * [backup-simplify]: Simplify 0 into 0 5.777 * [backup-simplify]: Simplify 1 into 1 5.777 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.778 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.778 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.779 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.779 * [taylor]: Taking taylor expansion of x in x 5.779 * [backup-simplify]: Simplify 0 into 0 5.779 * [backup-simplify]: Simplify 1 into 1 5.779 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.779 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 5.779 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.779 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.779 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.779 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.779 * [taylor]: Taking taylor expansion of 1/2 in x 5.779 * [backup-simplify]: Simplify 1/2 into 1/2 5.779 * [taylor]: Taking taylor expansion of x in x 5.779 * [backup-simplify]: Simplify 0 into 0 5.779 * [backup-simplify]: Simplify 1 into 1 5.780 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.780 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.780 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.780 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.780 * [taylor]: Taking taylor expansion of 1/2 in x 5.780 * [backup-simplify]: Simplify 1/2 into 1/2 5.780 * [taylor]: Taking taylor expansion of x in x 5.780 * [backup-simplify]: Simplify 0 into 0 5.780 * [backup-simplify]: Simplify 1 into 1 5.781 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.781 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.782 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.782 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.782 * [taylor]: Taking taylor expansion of x in x 5.782 * [backup-simplify]: Simplify 0 into 0 5.782 * [backup-simplify]: Simplify 1 into 1 5.782 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.782 * [backup-simplify]: Simplify 1/2 into 1/2 5.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.783 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.784 * [backup-simplify]: Simplify (+ 0) into 0 5.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.785 * [backup-simplify]: Simplify 0 into 0 5.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.787 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 5.787 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 5.788 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 5.789 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 5.789 * [backup-simplify]: Simplify 1/24 into 1/24 5.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.791 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.794 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 5.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 5.797 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.803 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 5.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.808 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 5.811 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 5.813 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 5.813 * [backup-simplify]: Simplify 1/240 into 1/240 5.813 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 4)) (+ (* 1/24 (pow x 2)) 1/2)) into (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) 5.814 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 5.814 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 5.814 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 5.814 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.814 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.814 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.814 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.814 * [taylor]: Taking taylor expansion of 1/2 in x 5.814 * [backup-simplify]: Simplify 1/2 into 1/2 5.814 * [taylor]: Taking taylor expansion of x in x 5.814 * [backup-simplify]: Simplify 0 into 0 5.814 * [backup-simplify]: Simplify 1 into 1 5.815 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.815 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.815 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.815 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.815 * [taylor]: Taking taylor expansion of 1/2 in x 5.815 * [backup-simplify]: Simplify 1/2 into 1/2 5.815 * [taylor]: Taking taylor expansion of x in x 5.815 * [backup-simplify]: Simplify 0 into 0 5.815 * [backup-simplify]: Simplify 1 into 1 5.815 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.816 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.816 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.816 * [taylor]: Taking taylor expansion of x in x 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 1 into 1 5.816 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 5.816 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.816 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.816 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.816 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.816 * [taylor]: Taking taylor expansion of 1/2 in x 5.816 * [backup-simplify]: Simplify 1/2 into 1/2 5.816 * [taylor]: Taking taylor expansion of x in x 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 1 into 1 5.817 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.817 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.817 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.817 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.817 * [taylor]: Taking taylor expansion of 1/2 in x 5.817 * [backup-simplify]: Simplify 1/2 into 1/2 5.817 * [taylor]: Taking taylor expansion of x in x 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify 1 into 1 5.817 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.817 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.818 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.818 * [taylor]: Taking taylor expansion of x in x 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 1 into 1 5.818 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 5.819 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.819 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.820 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.820 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 5.820 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.822 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.822 * [backup-simplify]: Simplify 0 into 0 5.822 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.824 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.824 * [backup-simplify]: Simplify 0 into 0 5.825 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.826 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.826 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.829 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.829 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.831 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.831 * [backup-simplify]: Simplify 0 into 0 5.831 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 5.831 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 5.831 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 5.831 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 5.831 * [taylor]: Taking taylor expansion of -1 in x 5.831 * [backup-simplify]: Simplify -1 into -1 5.831 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 5.831 * [taylor]: Taking taylor expansion of x in x 5.831 * [backup-simplify]: Simplify 0 into 0 5.831 * [backup-simplify]: Simplify 1 into 1 5.831 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.831 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.831 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.831 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.832 * [taylor]: Taking taylor expansion of -1/2 in x 5.832 * [backup-simplify]: Simplify -1/2 into -1/2 5.832 * [taylor]: Taking taylor expansion of x in x 5.832 * [backup-simplify]: Simplify 0 into 0 5.832 * [backup-simplify]: Simplify 1 into 1 5.832 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.832 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.832 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.832 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.832 * [taylor]: Taking taylor expansion of -1/2 in x 5.832 * [backup-simplify]: Simplify -1/2 into -1/2 5.832 * [taylor]: Taking taylor expansion of x in x 5.832 * [backup-simplify]: Simplify 0 into 0 5.832 * [backup-simplify]: Simplify 1 into 1 5.833 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.833 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.833 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.833 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 5.833 * [taylor]: Taking taylor expansion of -1 in x 5.833 * [backup-simplify]: Simplify -1 into -1 5.833 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 5.833 * [taylor]: Taking taylor expansion of x in x 5.833 * [backup-simplify]: Simplify 0 into 0 5.833 * [backup-simplify]: Simplify 1 into 1 5.833 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.833 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.833 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.833 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.833 * [taylor]: Taking taylor expansion of -1/2 in x 5.833 * [backup-simplify]: Simplify -1/2 into -1/2 5.833 * [taylor]: Taking taylor expansion of x in x 5.833 * [backup-simplify]: Simplify 0 into 0 5.833 * [backup-simplify]: Simplify 1 into 1 5.834 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.834 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.834 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.834 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.834 * [taylor]: Taking taylor expansion of -1/2 in x 5.834 * [backup-simplify]: Simplify -1/2 into -1/2 5.834 * [taylor]: Taking taylor expansion of x in x 5.834 * [backup-simplify]: Simplify 0 into 0 5.834 * [backup-simplify]: Simplify 1 into 1 5.834 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.835 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.835 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.835 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 5.835 * [backup-simplify]: Simplify (* -1 0) into 0 5.835 * [backup-simplify]: Simplify 0 into 0 5.836 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 5.836 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.837 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 5.837 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 5.837 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 5.839 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 5.839 * [backup-simplify]: Simplify 0 into 0 5.839 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.841 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 5.842 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.843 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 5.846 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 5.846 * [backup-simplify]: Simplify 0 into 0 5.847 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.849 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 5.851 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 5.851 * [backup-simplify]: Simplify 0 into 0 5.851 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 5.856 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))))) into 0 5.856 * [backup-simplify]: Simplify 0 into 0 5.857 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.860 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0 5.862 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))))) into 0 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify (* (- (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 5.863 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 5.863 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 5.863 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 5.863 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 5.863 * [taylor]: Taking taylor expansion of (sin x) in x 5.863 * [taylor]: Taking taylor expansion of x in x 5.863 * [backup-simplify]: Simplify 0 into 0 5.863 * [backup-simplify]: Simplify 1 into 1 5.863 * [taylor]: Taking taylor expansion of x in x 5.863 * [backup-simplify]: Simplify 0 into 0 5.863 * [backup-simplify]: Simplify 1 into 1 5.864 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.864 * [backup-simplify]: Simplify (/ 1 1) into 1 5.864 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 5.864 * [taylor]: Taking taylor expansion of (sin x) in x 5.864 * [taylor]: Taking taylor expansion of x in x 5.864 * [backup-simplify]: Simplify 0 into 0 5.864 * [backup-simplify]: Simplify 1 into 1 5.864 * [taylor]: Taking taylor expansion of x in x 5.864 * [backup-simplify]: Simplify 0 into 0 5.864 * [backup-simplify]: Simplify 1 into 1 5.865 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.865 * [backup-simplify]: Simplify (/ 1 1) into 1 5.865 * [backup-simplify]: Simplify 1 into 1 5.866 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 5.867 * [backup-simplify]: Simplify 0 into 0 5.869 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 5.870 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 5.870 * [backup-simplify]: Simplify -1/6 into -1/6 5.871 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 5.872 * [backup-simplify]: Simplify 0 into 0 5.874 * [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 5.874 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 5.875 * [backup-simplify]: Simplify 1/120 into 1/120 5.875 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) 5.875 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 5.875 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 5.875 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 5.875 * [taylor]: Taking taylor expansion of x in x 5.875 * [backup-simplify]: Simplify 0 into 0 5.875 * [backup-simplify]: Simplify 1 into 1 5.875 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.875 * [taylor]: Taking taylor expansion of x in x 5.875 * [backup-simplify]: Simplify 0 into 0 5.875 * [backup-simplify]: Simplify 1 into 1 5.875 * [backup-simplify]: Simplify (/ 1 1) into 1 5.875 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.875 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 5.875 * [taylor]: Taking taylor expansion of x in x 5.875 * [backup-simplify]: Simplify 0 into 0 5.875 * [backup-simplify]: Simplify 1 into 1 5.875 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.875 * [taylor]: Taking taylor expansion of x in x 5.875 * [backup-simplify]: Simplify 0 into 0 5.875 * [backup-simplify]: Simplify 1 into 1 5.876 * [backup-simplify]: Simplify (/ 1 1) into 1 5.876 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.876 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 5.876 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 5.876 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 5.877 * [backup-simplify]: Simplify 0 into 0 5.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 5.877 * [backup-simplify]: Simplify 0 into 0 5.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 5.878 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 5.880 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 5.885 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 5.886 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 5.886 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 5.886 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 5.886 * [taylor]: Taking taylor expansion of -1 in x 5.886 * [backup-simplify]: Simplify -1 into -1 5.886 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 5.886 * [taylor]: Taking taylor expansion of x in x 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 1 into 1 5.886 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.886 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.886 * [taylor]: Taking taylor expansion of -1 in x 5.886 * [backup-simplify]: Simplify -1 into -1 5.886 * [taylor]: Taking taylor expansion of x in x 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 1 into 1 5.886 * [backup-simplify]: Simplify (/ -1 1) into -1 5.886 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.886 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 5.886 * [taylor]: Taking taylor expansion of -1 in x 5.886 * [backup-simplify]: Simplify -1 into -1 5.886 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 5.886 * [taylor]: Taking taylor expansion of x in x 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 1 into 1 5.886 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.886 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.886 * [taylor]: Taking taylor expansion of -1 in x 5.886 * [backup-simplify]: Simplify -1 into -1 5.886 * [taylor]: Taking taylor expansion of x in x 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 1 into 1 5.887 * [backup-simplify]: Simplify (/ -1 1) into -1 5.887 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.887 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 5.887 * [backup-simplify]: Simplify (* -1 0) into 0 5.887 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 5.888 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 5.888 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 5.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 5.889 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 5.889 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 5.890 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 5.890 * [backup-simplify]: Simplify 0 into 0 5.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 5.892 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 5.892 * [backup-simplify]: Simplify 0 into 0 5.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 5.894 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 5.895 * [backup-simplify]: Simplify 0 into 0 5.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 5.897 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 5.897 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 5.902 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 5.902 * [backup-simplify]: Simplify 0 into 0 5.902 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 5.902 * * * * [progress]: [ 3 / 3 ] generating series at (2) 5.903 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 5.903 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 5.903 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 5.903 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 5.903 * [taylor]: Taking taylor expansion of (sin x) in x 5.903 * [taylor]: Taking taylor expansion of x in x 5.903 * [backup-simplify]: Simplify 0 into 0 5.903 * [backup-simplify]: Simplify 1 into 1 5.903 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.903 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.903 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.903 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.903 * [taylor]: Taking taylor expansion of 1/2 in x 5.903 * [backup-simplify]: Simplify 1/2 into 1/2 5.903 * [taylor]: Taking taylor expansion of x in x 5.903 * [backup-simplify]: Simplify 0 into 0 5.903 * [backup-simplify]: Simplify 1 into 1 5.904 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.904 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.904 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.904 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.904 * [taylor]: Taking taylor expansion of 1/2 in x 5.904 * [backup-simplify]: Simplify 1/2 into 1/2 5.904 * [taylor]: Taking taylor expansion of x in x 5.904 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify 1 into 1 5.905 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.906 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.907 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.907 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.907 * [taylor]: Taking taylor expansion of x in x 5.907 * [backup-simplify]: Simplify 0 into 0 5.907 * [backup-simplify]: Simplify 1 into 1 5.908 * [backup-simplify]: Simplify (* 0 1/2) into 0 5.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.909 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.910 * [backup-simplify]: Simplify (+ 0) into 0 5.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.911 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.912 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 5.913 * [backup-simplify]: Simplify (* 1 1) into 1 5.913 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.913 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 5.913 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 5.913 * [taylor]: Taking taylor expansion of (sin x) in x 5.913 * [taylor]: Taking taylor expansion of x in x 5.913 * [backup-simplify]: Simplify 0 into 0 5.913 * [backup-simplify]: Simplify 1 into 1 5.913 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.913 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.913 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.913 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.913 * [taylor]: Taking taylor expansion of 1/2 in x 5.913 * [backup-simplify]: Simplify 1/2 into 1/2 5.913 * [taylor]: Taking taylor expansion of x in x 5.913 * [backup-simplify]: Simplify 0 into 0 5.913 * [backup-simplify]: Simplify 1 into 1 5.914 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.914 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.915 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.915 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.915 * [taylor]: Taking taylor expansion of 1/2 in x 5.915 * [backup-simplify]: Simplify 1/2 into 1/2 5.915 * [taylor]: Taking taylor expansion of x in x 5.915 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify 1 into 1 5.915 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.916 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.916 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.917 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.917 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.917 * [taylor]: Taking taylor expansion of x in x 5.917 * [backup-simplify]: Simplify 0 into 0 5.917 * [backup-simplify]: Simplify 1 into 1 5.917 * [backup-simplify]: Simplify (* 0 1/2) into 0 5.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.919 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.920 * [backup-simplify]: Simplify (+ 0) into 0 5.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.922 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 5.922 * [backup-simplify]: Simplify (* 1 1) into 1 5.923 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.923 * [backup-simplify]: Simplify 1/2 into 1/2 5.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.926 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 5.927 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 5.928 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 5.929 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.930 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 5.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.931 * [backup-simplify]: Simplify 0 into 0 5.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.934 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.937 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 5.940 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 5.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 5.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.944 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 5.944 * [backup-simplify]: Simplify -1/24 into -1/24 5.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.949 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 5.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.953 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 5.956 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 5.957 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.959 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 5.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 5.962 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.965 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.968 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 5.971 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 5.972 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 5.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.974 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 5.974 * [backup-simplify]: Simplify 1/720 into 1/720 5.974 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 5.974 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 5.974 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 5.974 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 5.974 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.974 * [taylor]: Taking taylor expansion of x in x 5.974 * [backup-simplify]: Simplify 0 into 0 5.974 * [backup-simplify]: Simplify 1 into 1 5.974 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 5.974 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.974 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.974 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.974 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.974 * [taylor]: Taking taylor expansion of 1/2 in x 5.974 * [backup-simplify]: Simplify 1/2 into 1/2 5.974 * [taylor]: Taking taylor expansion of x in x 5.974 * [backup-simplify]: Simplify 0 into 0 5.974 * [backup-simplify]: Simplify 1 into 1 5.975 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.975 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.975 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.975 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.975 * [taylor]: Taking taylor expansion of 1/2 in x 5.975 * [backup-simplify]: Simplify 1/2 into 1/2 5.975 * [taylor]: Taking taylor expansion of x in x 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 1 into 1 5.975 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.975 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.975 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.975 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.975 * [taylor]: Taking taylor expansion of x in x 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 1 into 1 5.976 * [backup-simplify]: Simplify (/ 1 1) into 1 5.976 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.976 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 5.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.976 * [taylor]: Taking taylor expansion of x in x 5.976 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify 1 into 1 5.976 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 5.976 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.976 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.976 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.976 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.976 * [taylor]: Taking taylor expansion of 1/2 in x 5.976 * [backup-simplify]: Simplify 1/2 into 1/2 5.976 * [taylor]: Taking taylor expansion of x in x 5.976 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify 1 into 1 5.976 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.976 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.976 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.976 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.976 * [taylor]: Taking taylor expansion of 1/2 in x 5.976 * [backup-simplify]: Simplify 1/2 into 1/2 5.976 * [taylor]: Taking taylor expansion of x in x 5.976 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify 1 into 1 5.977 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.977 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.977 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.977 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.977 * [taylor]: Taking taylor expansion of x in x 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.977 * [backup-simplify]: Simplify (/ 1 1) into 1 5.977 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.977 * [backup-simplify]: Simplify (* 1 1) into 1 5.977 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5.978 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5.978 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5.978 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 5.978 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 5.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 5.979 * [backup-simplify]: Simplify 0 into 0 5.979 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.980 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 5.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 5.981 * [backup-simplify]: Simplify 0 into 0 5.981 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.981 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 5.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 5.983 * [backup-simplify]: Simplify 0 into 0 5.983 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.984 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 5.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.987 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 5.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.991 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 5.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 5.997 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 5.997 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) 5.998 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 5.998 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 5.998 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.998 * [taylor]: Taking taylor expansion of x in x 5.998 * [backup-simplify]: Simplify 0 into 0 5.998 * [backup-simplify]: Simplify 1 into 1 5.998 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 5.998 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.998 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.998 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.998 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.998 * [taylor]: Taking taylor expansion of -1/2 in x 5.998 * [backup-simplify]: Simplify -1/2 into -1/2 5.998 * [taylor]: Taking taylor expansion of x in x 5.998 * [backup-simplify]: Simplify 0 into 0 5.998 * [backup-simplify]: Simplify 1 into 1 5.998 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.999 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.999 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.999 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.999 * [taylor]: Taking taylor expansion of -1/2 in x 5.999 * [backup-simplify]: Simplify -1/2 into -1/2 5.999 * [taylor]: Taking taylor expansion of x in x 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify 1 into 1 5.999 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.999 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.999 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.999 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.999 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.999 * [taylor]: Taking taylor expansion of -1 in x 5.999 * [backup-simplify]: Simplify -1 into -1 5.999 * [taylor]: Taking taylor expansion of x in x 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify 1 into 1 5.999 * [backup-simplify]: Simplify (/ -1 1) into -1 6.000 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 6.000 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 6.000 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.000 * [taylor]: Taking taylor expansion of x in x 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 1 into 1 6.000 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 6.000 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 6.000 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.000 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 6.000 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.000 * [taylor]: Taking taylor expansion of -1/2 in x 6.000 * [backup-simplify]: Simplify -1/2 into -1/2 6.000 * [taylor]: Taking taylor expansion of x in x 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 1 into 1 6.000 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.000 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 6.000 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 6.000 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.000 * [taylor]: Taking taylor expansion of -1/2 in x 6.000 * [backup-simplify]: Simplify -1/2 into -1/2 6.000 * [taylor]: Taking taylor expansion of x in x 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 1 into 1 6.001 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.001 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 6.001 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.001 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 6.001 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.001 * [taylor]: Taking taylor expansion of -1 in x 6.001 * [backup-simplify]: Simplify -1 into -1 6.001 * [taylor]: Taking taylor expansion of x in x 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify 1 into 1 6.001 * [backup-simplify]: Simplify (/ -1 1) into -1 6.001 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 6.001 * [backup-simplify]: Simplify (* 1 1) into 1 6.002 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 6.002 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 6.002 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 6.002 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 6.002 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 6.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 6.003 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.004 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 6.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 6.005 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.006 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 6.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 6.007 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.008 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 6.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.011 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 6.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 6.013 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.015 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 6.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 6.017 * [backup-simplify]: Simplify 0 into 0 6.017 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 6.018 * * * [progress]: simplifying candidates 6.018 * * * * [progress]: [ 1 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 2 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 3 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 4 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 5 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 6 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 7 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 8 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 9 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 10 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 11 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 12 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 13 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 14 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 15 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 16 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 17 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 18 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 19 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 20 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 21 / 117 ] simplifiying candidate # 6.018 * * * * [progress]: [ 22 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 23 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 24 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 25 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 26 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 27 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 28 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 29 / 117 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))))> 6.019 * * * * [progress]: [ 30 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 31 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 32 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 33 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 34 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 35 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 36 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 37 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 38 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 39 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 40 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 41 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 42 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 43 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 44 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 45 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 46 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 47 / 117 ] simplifiying candidate # 6.019 * * * * [progress]: [ 48 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 49 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 50 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 51 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 52 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 53 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 54 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 55 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 56 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 57 / 117 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))> 6.020 * * * * [progress]: [ 58 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 59 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 60 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 61 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 62 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 63 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 64 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 65 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 66 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 67 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 68 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 69 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 70 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 71 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 72 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 73 / 117 ] simplifiying candidate # 6.020 * * * * [progress]: [ 74 / 117 ] simplifiying candidate # 6.021 * * * * [progress]: [ 75 / 117 ] simplifiying candidate # 6.021 * * * * [progress]: [ 76 / 117 ] simplifiying candidate # 6.021 * * * * [progress]: [ 77 / 117 ] simplifiying candidate # 6.021 * * * * [progress]: [ 78 / 117 ] simplifiying candidate # 6.021 * * * * [progress]: [ 79 / 117 ] simplifiying candidate # 6.021 * * * * [progress]: [ 80 / 117 ] simplifiying candidate # 6.021 * * * * [progress]: [ 81 / 117 ] simplifiying candidate # 6.021 * * * * [progress]: [ 82 / 117 ] simplifiying candidate # 6.021 * * * * [progress]: [ 83 / 117 ] simplifiying candidate # 6.022 * * * * [progress]: [ 84 / 117 ] simplifiying candidate # 6.022 * * * * [progress]: [ 85 / 117 ] simplifiying candidate # 6.022 * * * * [progress]: [ 86 / 117 ] simplifiying candidate # 6.022 * * * * [progress]: [ 87 / 117 ] simplifiying candidate # 6.022 * * * * [progress]: [ 88 / 117 ] simplifiying candidate # 6.022 * * * * [progress]: [ 89 / 117 ] simplifiying candidate # 6.022 * * * * [progress]: [ 90 / 117 ] simplifiying candidate # 6.022 * * * * [progress]: [ 91 / 117 ] simplifiying candidate # 6.022 * * * * [progress]: [ 92 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 93 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 94 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 95 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 96 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 97 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 98 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 99 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 100 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 101 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 102 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 103 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 104 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 105 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 106 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 107 / 117 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))> 6.023 * * * * [progress]: [ 108 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 109 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 110 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 111 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 112 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 113 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 114 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 115 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 116 / 117 ] simplifiying candidate # 6.023 * * * * [progress]: [ 117 / 117 ] simplifiying candidate # 6.025 * [simplify]: Simplifying (- (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)), (- (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)), (* (/ (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))) 6.026 * * [simplify]: iteration 1: (166 enodes) 6.097 * * [simplify]: iteration 2: (737 enodes) 6.352 * * [simplify]: iteration 3: (1832 enodes) 7.810 * * [simplify]: Extracting #0: cost 101 inf + 0 7.812 * * [simplify]: Extracting #1: cost 585 inf + 1 7.820 * * [simplify]: Extracting #2: cost 1018 inf + 3409 7.847 * * [simplify]: Extracting #3: cost 648 inf + 111024 7.928 * * [simplify]: Extracting #4: cost 95 inf + 290329 8.017 * * [simplify]: Extracting #5: cost 2 inf + 316916 8.087 * * [simplify]: Extracting #6: cost 0 inf + 317422 8.176 * [simplify]: Simplified to (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))) (/ (cbrt (tan (/ x 2))) (sqrt x))), (/ (cbrt (tan (/ x 2))) (sqrt x)), (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))), (/ (cbrt (tan (/ x 2))) x), (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))), (/ (sqrt (tan (/ x 2))) (cbrt x)), (/ (sqrt (tan (/ x 2))) (sqrt x)), (/ (sqrt (tan (/ x 2))) (sqrt x)), (sqrt (tan (/ x 2))), (/ (sqrt (tan (/ x 2))) x), (/ (/ 1 (cbrt x)) (cbrt x)), (/ (tan (/ x 2)) (cbrt x)), (/ 1 (sqrt x)), (/ (tan (/ x 2)) (sqrt x)), 1, (/ (tan (/ x 2)) x), (/ 1 x), (/ x (tan (/ x 2))), (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))), (/ (tan (/ x 2)) (sqrt x)), (tan (/ x 2)), (/ x (cbrt (tan (/ x 2)))), (/ x (sqrt (tan (/ x 2)))), (/ x (tan (/ x 2))), (* x (cos (/ x 2))), (real->posit16 (/ (tan (/ x 2)) x)), (log (/ (sin x) x)), (log (/ (sin x) x)), (exp (/ (sin x) x)), (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)), (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))), (cbrt (/ (sin x) x)), (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)), (sqrt (/ (sin x) x)), (sqrt (/ (sin x) x)), (- (sin x)), (- x), (* (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (cbrt x))), (/ (cbrt (sin x)) (cbrt x)), (* (cbrt (sin x)) (/ (cbrt (sin x)) (sqrt x))), (/ (cbrt (sin x)) (sqrt x)), (* (cbrt (sin x)) (cbrt (sin x))), (/ (cbrt (sin x)) x), (/ (/ (sqrt (sin x)) (cbrt x)) (cbrt x)), (/ (sqrt (sin x)) (cbrt x)), (/ (sqrt (sin x)) (sqrt x)), (/ (sqrt (sin x)) (sqrt x)), (sqrt (sin x)), (/ (sqrt (sin x)) x), (/ (/ 1 (cbrt x)) (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)), (/ (tan (/ x 2)) (/ (* x x) (sin x))), (log (/ (tan (/ x 2)) (/ (* x x) (sin x)))), (log (/ (tan (/ x 2)) (/ (* x x) (sin x)))), (log (/ (tan (/ x 2)) (/ (* x x) (sin x)))), (log (/ (tan (/ x 2)) (/ (* x x) (sin x)))), (log (/ (tan (/ x 2)) (/ (* x x) (sin x)))), (exp (/ (tan (/ x 2)) (/ (* x x) (sin x)))), (* (/ (tan (/ x 2)) (/ (* x x) (sin x))) (* (/ (tan (/ x 2)) (/ (* x x) (sin x))) (/ (tan (/ x 2)) (/ (* x x) (sin x))))), (* (/ (tan (/ x 2)) (/ (* x x) (sin x))) (* (/ (tan (/ x 2)) (/ (* x x) (sin x))) (/ (tan (/ x 2)) (/ (* x x) (sin x))))), (* (/ (tan (/ x 2)) (/ (* x x) (sin x))) (* (/ (tan (/ x 2)) (/ (* x x) (sin x))) (/ (tan (/ x 2)) (/ (* x x) (sin x))))), (* (/ (tan (/ x 2)) (/ (* x x) (sin x))) (* (/ (tan (/ x 2)) (/ (* x x) (sin x))) (/ (tan (/ x 2)) (/ (* x x) (sin x))))), (* (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))), (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))), (* (/ (tan (/ x 2)) (/ (* x x) (sin x))) (* (/ (tan (/ x 2)) (/ (* x x) (sin x))) (/ (tan (/ x 2)) (/ (* x x) (sin x))))), (sqrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))), (sqrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))), (* (tan (/ x 2)) (sin x)), (* 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 (/ (tan (/ x 2)) x)) (sqrt (sin x))) (sqrt x)), (/ (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (sin x))) (sqrt x)), (/ (* (sqrt (tan (/ x 2))) (sqrt (sin x))) (* (sqrt x) (sqrt x))), (/ (* (sqrt (tan (/ x 2))) (sqrt (sin x))) (* (sqrt x) (sqrt x))), (* (cbrt (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (cbrt (/ (tan (/ x 2)) x)))), (* (/ (sin x) x) (sqrt (/ (tan (/ x 2)) x))), (/ (sin x) (* (* (/ (cbrt x) (cbrt (tan (/ x 2)))) (/ (cbrt x) (cbrt (tan (/ x 2))))) x)), (/ (* (cbrt (tan (/ x 2))) (sin x)) (* x (/ (sqrt x) (cbrt (tan (/ x 2)))))), (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ x (sin x))), (* (/ (/ (/ (sin x) (cbrt x)) (cbrt x)) x) (sqrt (tan (/ x 2)))), (/ (sin x) (* (sqrt x) (/ x (sqrt (tan (/ x 2)))))), (/ (sqrt (tan (/ x 2))) (/ x (sin x))), (/ (/ (/ (sin x) (cbrt x)) (cbrt x)) x), (/ (sin x) (* (sqrt x) x)), (/ (sin x) x), (/ (sin x) x), (* (tan (/ x 2)) (/ (sin x) x)), (/ (cbrt (/ (sin x) x)) (/ x (tan (/ x 2)))), (/ (* (sqrt (/ (sin x) x)) (tan (/ x 2))) x), (/ (/ (* (tan (/ x 2)) (cbrt (sin x))) x) (cbrt x)), (* (/ (/ (cbrt (sin x)) (sqrt x)) x) (tan (/ x 2))), (* (/ (cbrt (sin x)) x) (/ (tan (/ x 2)) x)), (/ (* (/ (sqrt (sin x)) x) (tan (/ x 2))) (cbrt x)), (/ (* (sqrt (sin x)) (tan (/ x 2))) (* x (sqrt x))), (/ (* (/ (sqrt (sin x)) x) (tan (/ x 2))) x), (/ (* (/ (sin x) (cbrt x)) (tan (/ x 2))) x), (/ (* (tan (/ x 2)) (/ (sin x) x)) (sqrt x)), (/ (tan (/ x 2)) (/ (* x x) (sin x))), (/ (tan (/ x 2)) (/ (* x x) (sin x))), (/ (/ (tan (/ x 2)) x) x), (* (tan (/ x 2)) (/ (sin x) x)), (* (tan (/ x 2)) (/ (sin x) x)), (real->posit16 (/ (tan (/ x 2)) (/ (* x x) (sin x)))), (+ (* 1/24 (* x x)) (+ (* (* 1/240 (* x x)) (* x x)) 1/2)), (/ (sin (* x 1/2)) (* (cos (* x 1/2)) x)), (/ (sin (* x 1/2)) (* (cos (* x 1/2)) x)), (+ (+ (* (* 1/120 (* x x)) (* x x)) (* -1/6 (* x x))) 1), (/ (sin x) x), (/ (sin x) x), (+ (- 1/2 (* 1/24 (* x x))) (* (* 1/720 (* x x)) (* x x))), (/ (sin (* x 1/2)) (/ (* (* x x) (cos (* x 1/2))) (sin x))), (/ (sin (* x 1/2)) (/ (* (* x x) (cos (* x 1/2))) (sin x))) 8.181 * * * [progress]: adding candidates to table 9.197 * * [progress]: iteration 4 / 4 9.197 * * * [progress]: picking best candidate 9.212 * * * * [pick]: Picked # 9.212 * * * [progress]: localizing error 9.239 * * * [progress]: generating rewritten candidates 9.239 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 9.260 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 9.272 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 9.282 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 9.310 * * * [progress]: generating series expansions 9.310 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 9.310 * [backup-simplify]: Simplify (/ 1 (/ x (sin x))) into (/ (sin x) x) 9.310 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 9.310 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 9.310 * [taylor]: Taking taylor expansion of (sin x) in x 9.310 * [taylor]: Taking taylor expansion of x in x 9.310 * [backup-simplify]: Simplify 0 into 0 9.310 * [backup-simplify]: Simplify 1 into 1 9.310 * [taylor]: Taking taylor expansion of x in x 9.310 * [backup-simplify]: Simplify 0 into 0 9.310 * [backup-simplify]: Simplify 1 into 1 9.311 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 9.311 * [backup-simplify]: Simplify (/ 1 1) into 1 9.311 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 9.311 * [taylor]: Taking taylor expansion of (sin x) in x 9.311 * [taylor]: Taking taylor expansion of x in x 9.311 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify 1 into 1 9.311 * [taylor]: Taking taylor expansion of x in x 9.311 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify 1 into 1 9.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 9.312 * [backup-simplify]: Simplify (/ 1 1) into 1 9.312 * [backup-simplify]: Simplify 1 into 1 9.313 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 9.313 * [backup-simplify]: Simplify 0 into 0 9.314 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 9.315 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 9.315 * [backup-simplify]: Simplify -1/6 into -1/6 9.315 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 9.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 9.316 * [backup-simplify]: Simplify 0 into 0 9.318 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 9.319 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 9.319 * [backup-simplify]: Simplify 1/120 into 1/120 9.320 * [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))) 9.320 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 x) (sin (/ 1 x)))) into (* x (sin (/ 1 x))) 9.320 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 9.320 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 9.320 * [taylor]: Taking taylor expansion of x in x 9.320 * [backup-simplify]: Simplify 0 into 0 9.320 * [backup-simplify]: Simplify 1 into 1 9.320 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 9.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.320 * [taylor]: Taking taylor expansion of x in x 9.320 * [backup-simplify]: Simplify 0 into 0 9.320 * [backup-simplify]: Simplify 1 into 1 9.320 * [backup-simplify]: Simplify (/ 1 1) into 1 9.321 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 9.321 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 9.321 * [taylor]: Taking taylor expansion of x in x 9.321 * [backup-simplify]: Simplify 0 into 0 9.321 * [backup-simplify]: Simplify 1 into 1 9.321 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 9.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.321 * [taylor]: Taking taylor expansion of x in x 9.321 * [backup-simplify]: Simplify 0 into 0 9.321 * [backup-simplify]: Simplify 1 into 1 9.321 * [backup-simplify]: Simplify (/ 1 1) into 1 9.321 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 9.321 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 9.321 * [backup-simplify]: Simplify 0 into 0 9.322 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 9.322 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 9.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 9.323 * [backup-simplify]: Simplify 0 into 0 9.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 9.324 * [backup-simplify]: Simplify 0 into 0 9.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 9.326 * [backup-simplify]: Simplify 0 into 0 9.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 9.327 * [backup-simplify]: Simplify 0 into 0 9.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 9.330 * [backup-simplify]: Simplify 0 into 0 9.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 9.332 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 9.332 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- x)) (sin (/ 1 (- x))))) into (* -1 (* x (sin (/ -1 x)))) 9.332 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 9.332 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 9.332 * [taylor]: Taking taylor expansion of -1 in x 9.332 * [backup-simplify]: Simplify -1 into -1 9.332 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 9.332 * [taylor]: Taking taylor expansion of x in x 9.332 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify 1 into 1 9.332 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 9.332 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.332 * [taylor]: Taking taylor expansion of -1 in x 9.332 * [backup-simplify]: Simplify -1 into -1 9.332 * [taylor]: Taking taylor expansion of x in x 9.332 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify 1 into 1 9.332 * [backup-simplify]: Simplify (/ -1 1) into -1 9.332 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 9.332 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 9.332 * [taylor]: Taking taylor expansion of -1 in x 9.332 * [backup-simplify]: Simplify -1 into -1 9.332 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 9.332 * [taylor]: Taking taylor expansion of x in x 9.332 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify 1 into 1 9.332 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 9.332 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.332 * [taylor]: Taking taylor expansion of -1 in x 9.332 * [backup-simplify]: Simplify -1 into -1 9.332 * [taylor]: Taking taylor expansion of x in x 9.332 * [backup-simplify]: Simplify 0 into 0 9.333 * [backup-simplify]: Simplify 1 into 1 9.333 * [backup-simplify]: Simplify (/ -1 1) into -1 9.333 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 9.333 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 9.333 * [backup-simplify]: Simplify (* -1 0) into 0 9.333 * [backup-simplify]: Simplify 0 into 0 9.333 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 9.334 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 9.334 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 9.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 9.335 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 9.335 * [backup-simplify]: Simplify 0 into 0 9.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 9.337 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 9.337 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 9.339 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 9.339 * [backup-simplify]: Simplify 0 into 0 9.340 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 9.345 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 9.345 * [backup-simplify]: Simplify 0 into 0 9.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 9.347 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 9.347 * [backup-simplify]: Simplify 0 into 0 9.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 9.351 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 9.351 * [backup-simplify]: Simplify 0 into 0 9.351 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 9.351 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 9.351 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 9.351 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 9.351 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 9.351 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 9.351 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 9.351 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 9.351 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 9.351 * [taylor]: Taking taylor expansion of 1/2 in x 9.351 * [backup-simplify]: Simplify 1/2 into 1/2 9.351 * [taylor]: Taking taylor expansion of x in x 9.351 * [backup-simplify]: Simplify 0 into 0 9.351 * [backup-simplify]: Simplify 1 into 1 9.351 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.352 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.352 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 9.352 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 9.352 * [taylor]: Taking taylor expansion of 1/2 in x 9.352 * [backup-simplify]: Simplify 1/2 into 1/2 9.352 * [taylor]: Taking taylor expansion of x in x 9.352 * [backup-simplify]: Simplify 0 into 0 9.352 * [backup-simplify]: Simplify 1 into 1 9.352 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.353 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.353 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 9.353 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.353 * [taylor]: Taking taylor expansion of x in x 9.353 * [backup-simplify]: Simplify 0 into 0 9.353 * [backup-simplify]: Simplify 1 into 1 9.354 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.354 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 9.354 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 9.354 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 9.354 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 9.354 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 9.354 * [taylor]: Taking taylor expansion of 1/2 in x 9.354 * [backup-simplify]: Simplify 1/2 into 1/2 9.354 * [taylor]: Taking taylor expansion of x in x 9.354 * [backup-simplify]: Simplify 0 into 0 9.354 * [backup-simplify]: Simplify 1 into 1 9.354 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.355 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.355 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 9.355 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 9.355 * [taylor]: Taking taylor expansion of 1/2 in x 9.355 * [backup-simplify]: Simplify 1/2 into 1/2 9.355 * [taylor]: Taking taylor expansion of x in x 9.355 * [backup-simplify]: Simplify 0 into 0 9.355 * [backup-simplify]: Simplify 1 into 1 9.355 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.355 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.356 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 9.356 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.356 * [taylor]: Taking taylor expansion of x in x 9.356 * [backup-simplify]: Simplify 0 into 0 9.356 * [backup-simplify]: Simplify 1 into 1 9.356 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.356 * [backup-simplify]: Simplify 1/2 into 1/2 9.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.357 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.358 * [backup-simplify]: Simplify (+ 0) into 0 9.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.359 * [backup-simplify]: Simplify 0 into 0 9.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.360 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 9.361 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 9.362 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 9.362 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 9.362 * [backup-simplify]: Simplify 1/24 into 1/24 9.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.364 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 9.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.365 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 9.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 9.367 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.370 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 9.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.372 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 9.373 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 9.374 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 9.374 * [backup-simplify]: Simplify 1/240 into 1/240 9.374 * [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)) 9.374 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 9.374 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 9.374 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 9.374 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 9.374 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 9.374 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 9.374 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.374 * [taylor]: Taking taylor expansion of 1/2 in x 9.374 * [backup-simplify]: Simplify 1/2 into 1/2 9.374 * [taylor]: Taking taylor expansion of x in x 9.374 * [backup-simplify]: Simplify 0 into 0 9.374 * [backup-simplify]: Simplify 1 into 1 9.375 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.375 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 9.375 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 9.375 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.375 * [taylor]: Taking taylor expansion of 1/2 in x 9.375 * [backup-simplify]: Simplify 1/2 into 1/2 9.375 * [taylor]: Taking taylor expansion of x in x 9.375 * [backup-simplify]: Simplify 0 into 0 9.375 * [backup-simplify]: Simplify 1 into 1 9.375 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.375 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 9.375 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 9.375 * [taylor]: Taking taylor expansion of x in x 9.375 * [backup-simplify]: Simplify 0 into 0 9.375 * [backup-simplify]: Simplify 1 into 1 9.375 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 9.375 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 9.375 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 9.375 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 9.375 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.375 * [taylor]: Taking taylor expansion of 1/2 in x 9.375 * [backup-simplify]: Simplify 1/2 into 1/2 9.375 * [taylor]: Taking taylor expansion of x in x 9.375 * [backup-simplify]: Simplify 0 into 0 9.375 * [backup-simplify]: Simplify 1 into 1 9.376 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.376 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 9.376 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 9.376 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.376 * [taylor]: Taking taylor expansion of 1/2 in x 9.376 * [backup-simplify]: Simplify 1/2 into 1/2 9.376 * [taylor]: Taking taylor expansion of x in x 9.376 * [backup-simplify]: Simplify 0 into 0 9.376 * [backup-simplify]: Simplify 1 into 1 9.376 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.376 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 9.376 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 9.376 * [taylor]: Taking taylor expansion of x in x 9.376 * [backup-simplify]: Simplify 0 into 0 9.376 * [backup-simplify]: Simplify 1 into 1 9.376 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 9.376 * [backup-simplify]: Simplify 0 into 0 9.377 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 9.377 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 9.377 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 9.377 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 9.378 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 9.378 * [backup-simplify]: Simplify 0 into 0 9.378 * [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)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 9.378 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.379 * [backup-simplify]: Simplify 0 into 0 9.379 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 9.379 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.379 * [backup-simplify]: Simplify 0 into 0 9.380 * [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)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 9.380 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.380 * [backup-simplify]: Simplify 0 into 0 9.381 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 9.382 * [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 9.382 * [backup-simplify]: Simplify 0 into 0 9.382 * [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)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 9.383 * [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 9.383 * [backup-simplify]: Simplify 0 into 0 9.383 * [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)) 9.383 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 9.383 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 9.383 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 9.383 * [taylor]: Taking taylor expansion of -1 in x 9.383 * [backup-simplify]: Simplify -1 into -1 9.383 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 9.383 * [taylor]: Taking taylor expansion of x in x 9.383 * [backup-simplify]: Simplify 0 into 0 9.383 * [backup-simplify]: Simplify 1 into 1 9.383 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 9.383 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 9.383 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 9.384 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.384 * [taylor]: Taking taylor expansion of -1/2 in x 9.384 * [backup-simplify]: Simplify -1/2 into -1/2 9.384 * [taylor]: Taking taylor expansion of x in x 9.384 * [backup-simplify]: Simplify 0 into 0 9.384 * [backup-simplify]: Simplify 1 into 1 9.384 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.384 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 9.384 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 9.384 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.384 * [taylor]: Taking taylor expansion of -1/2 in x 9.384 * [backup-simplify]: Simplify -1/2 into -1/2 9.384 * [taylor]: Taking taylor expansion of x in x 9.384 * [backup-simplify]: Simplify 0 into 0 9.384 * [backup-simplify]: Simplify 1 into 1 9.384 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.384 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 9.384 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 9.384 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 9.384 * [taylor]: Taking taylor expansion of -1 in x 9.384 * [backup-simplify]: Simplify -1 into -1 9.385 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 9.385 * [taylor]: Taking taylor expansion of x in x 9.385 * [backup-simplify]: Simplify 0 into 0 9.385 * [backup-simplify]: Simplify 1 into 1 9.385 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 9.385 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 9.385 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 9.385 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.385 * [taylor]: Taking taylor expansion of -1/2 in x 9.385 * [backup-simplify]: Simplify -1/2 into -1/2 9.385 * [taylor]: Taking taylor expansion of x in x 9.385 * [backup-simplify]: Simplify 0 into 0 9.385 * [backup-simplify]: Simplify 1 into 1 9.385 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.385 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 9.385 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 9.385 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.385 * [taylor]: Taking taylor expansion of -1/2 in x 9.385 * [backup-simplify]: Simplify -1/2 into -1/2 9.385 * [taylor]: Taking taylor expansion of x in x 9.385 * [backup-simplify]: Simplify 0 into 0 9.385 * [backup-simplify]: Simplify 1 into 1 9.385 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.385 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 9.386 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 9.386 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 9.386 * [backup-simplify]: Simplify (* -1 0) into 0 9.386 * [backup-simplify]: Simplify 0 into 0 9.386 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 9.386 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 9.387 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 9.387 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 9.387 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 9.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 9.388 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [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)))))) into 0 9.389 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 9.390 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 9.390 * [backup-simplify]: Simplify 0 into 0 9.390 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 9.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 9.394 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 9.394 * [backup-simplify]: Simplify 0 into 0 9.394 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 9.396 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 9.398 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 9.398 * [backup-simplify]: Simplify 0 into 0 9.399 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 9.401 * [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 9.403 * [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 9.404 * [backup-simplify]: Simplify 0 into 0 9.404 * [backup-simplify]: Simplify (- (/ 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 9.407 * [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 9.409 * [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 9.410 * [backup-simplify]: Simplify 0 into 0 9.410 * [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)) 9.410 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 9.410 * [backup-simplify]: Simplify (/ x (sin x)) into (/ x (sin x)) 9.410 * [approximate]: Taking taylor expansion of (/ x (sin x)) in (x) around 0 9.410 * [taylor]: Taking taylor expansion of (/ x (sin x)) in x 9.410 * [taylor]: Taking taylor expansion of x in x 9.410 * [backup-simplify]: Simplify 0 into 0 9.410 * [backup-simplify]: Simplify 1 into 1 9.410 * [taylor]: Taking taylor expansion of (sin x) in x 9.410 * [taylor]: Taking taylor expansion of x in x 9.410 * [backup-simplify]: Simplify 0 into 0 9.410 * [backup-simplify]: Simplify 1 into 1 9.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 9.411 * [backup-simplify]: Simplify (/ 1 1) into 1 9.411 * [taylor]: Taking taylor expansion of (/ x (sin x)) in x 9.411 * [taylor]: Taking taylor expansion of x in x 9.411 * [backup-simplify]: Simplify 0 into 0 9.411 * [backup-simplify]: Simplify 1 into 1 9.412 * [taylor]: Taking taylor expansion of (sin x) in x 9.412 * [taylor]: Taking taylor expansion of x in x 9.412 * [backup-simplify]: Simplify 0 into 0 9.412 * [backup-simplify]: Simplify 1 into 1 9.412 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 9.413 * [backup-simplify]: Simplify (/ 1 1) into 1 9.413 * [backup-simplify]: Simplify 1 into 1 9.414 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 9.414 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 9.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6 9.417 * [backup-simplify]: Simplify 1/6 into 1/6 9.419 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 9.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0 9.420 * [backup-simplify]: Simplify 0 into 0 9.424 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 9.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360 9.426 * [backup-simplify]: Simplify 7/360 into 7/360 9.427 * [backup-simplify]: Simplify (+ (* 7/360 (pow x 4)) (+ (* 1/6 (pow x 2)) 1)) into (+ (* 1/6 (pow x 2)) (+ (* 7/360 (pow x 4)) 1)) 9.427 * [backup-simplify]: Simplify (/ (/ 1 x) (sin (/ 1 x))) into (/ 1 (* x (sin (/ 1 x)))) 9.427 * [approximate]: Taking taylor expansion of (/ 1 (* x (sin (/ 1 x)))) in (x) around 0 9.427 * [taylor]: Taking taylor expansion of (/ 1 (* x (sin (/ 1 x)))) in x 9.427 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 9.427 * [taylor]: Taking taylor expansion of x in x 9.427 * [backup-simplify]: Simplify 0 into 0 9.427 * [backup-simplify]: Simplify 1 into 1 9.427 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 9.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.427 * [taylor]: Taking taylor expansion of x in x 9.427 * [backup-simplify]: Simplify 0 into 0 9.427 * [backup-simplify]: Simplify 1 into 1 9.428 * [backup-simplify]: Simplify (/ 1 1) into 1 9.428 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 9.428 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 9.428 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 9.429 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) 9.429 * [taylor]: Taking taylor expansion of (/ 1 (* x (sin (/ 1 x)))) in x 9.429 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 9.429 * [taylor]: Taking taylor expansion of x in x 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [backup-simplify]: Simplify 1 into 1 9.429 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 9.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.429 * [taylor]: Taking taylor expansion of x in x 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [backup-simplify]: Simplify 1 into 1 9.429 * [backup-simplify]: Simplify (/ 1 1) into 1 9.429 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 9.429 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 9.430 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 9.430 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) 9.430 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) 9.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 9.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 9.432 * [backup-simplify]: Simplify 0 into 0 9.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 9.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 9.433 * [backup-simplify]: Simplify 0 into 0 9.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 9.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 9.435 * [backup-simplify]: Simplify 0 into 0 9.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 9.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 9.437 * [backup-simplify]: Simplify 0 into 0 9.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 9.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 9.441 * [backup-simplify]: Simplify 0 into 0 9.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 9.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [backup-simplify]: Simplify (* (/ 1 (sin (/ 1 (/ 1 x)))) (/ 1 (/ 1 x))) into (/ x (sin x)) 9.444 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (sin (/ 1 (- x)))) into (/ -1 (* x (sin (/ -1 x)))) 9.444 * [approximate]: Taking taylor expansion of (/ -1 (* x (sin (/ -1 x)))) in (x) around 0 9.444 * [taylor]: Taking taylor expansion of (/ -1 (* x (sin (/ -1 x)))) in x 9.444 * [taylor]: Taking taylor expansion of -1 in x 9.444 * [backup-simplify]: Simplify -1 into -1 9.444 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 9.444 * [taylor]: Taking taylor expansion of x in x 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [backup-simplify]: Simplify 1 into 1 9.444 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 9.444 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.444 * [taylor]: Taking taylor expansion of -1 in x 9.444 * [backup-simplify]: Simplify -1 into -1 9.445 * [taylor]: Taking taylor expansion of x in x 9.445 * [backup-simplify]: Simplify 0 into 0 9.445 * [backup-simplify]: Simplify 1 into 1 9.445 * [backup-simplify]: Simplify (/ -1 1) into -1 9.445 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 9.445 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 9.446 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 9.446 * [backup-simplify]: Simplify (/ -1 (sin (/ -1 x))) into (/ -1 (sin (/ -1 x))) 9.446 * [taylor]: Taking taylor expansion of (/ -1 (* x (sin (/ -1 x)))) in x 9.446 * [taylor]: Taking taylor expansion of -1 in x 9.446 * [backup-simplify]: Simplify -1 into -1 9.446 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 9.446 * [taylor]: Taking taylor expansion of x in x 9.446 * [backup-simplify]: Simplify 0 into 0 9.446 * [backup-simplify]: Simplify 1 into 1 9.446 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 9.446 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.446 * [taylor]: Taking taylor expansion of -1 in x 9.446 * [backup-simplify]: Simplify -1 into -1 9.446 * [taylor]: Taking taylor expansion of x in x 9.446 * [backup-simplify]: Simplify 0 into 0 9.446 * [backup-simplify]: Simplify 1 into 1 9.447 * [backup-simplify]: Simplify (/ -1 1) into -1 9.447 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 9.447 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 9.447 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 9.447 * [backup-simplify]: Simplify (/ -1 (sin (/ -1 x))) into (/ -1 (sin (/ -1 x))) 9.448 * [backup-simplify]: Simplify (/ -1 (sin (/ -1 x))) into (/ -1 (sin (/ -1 x))) 9.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 9.449 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 9.449 * [backup-simplify]: Simplify 0 into 0 9.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 9.453 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 9.453 * [backup-simplify]: Simplify 0 into 0 9.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 9.455 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 9.455 * [backup-simplify]: Simplify 0 into 0 9.457 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 9.457 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 9.457 * [backup-simplify]: Simplify 0 into 0 9.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 9.459 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 9.459 * [backup-simplify]: Simplify 0 into 0 9.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 9.461 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 9.461 * [backup-simplify]: Simplify 0 into 0 9.461 * [backup-simplify]: Simplify (* (/ -1 (sin (/ -1 (/ 1 (- x))))) (/ 1 (/ 1 (- x)))) into (/ x (sin x)) 9.461 * * * * [progress]: [ 4 / 4 ] generating series at (2) 9.462 * [backup-simplify]: Simplify (* (/ 1 (/ x (sin x))) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 9.462 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 9.462 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 9.462 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 9.462 * [taylor]: Taking taylor expansion of (sin x) in x 9.462 * [taylor]: Taking taylor expansion of x in x 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 1 into 1 9.462 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 9.462 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 9.462 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 9.462 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 9.462 * [taylor]: Taking taylor expansion of 1/2 in x 9.462 * [backup-simplify]: Simplify 1/2 into 1/2 9.462 * [taylor]: Taking taylor expansion of x in x 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 1 into 1 9.462 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.463 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.463 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 9.463 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 9.463 * [taylor]: Taking taylor expansion of 1/2 in x 9.463 * [backup-simplify]: Simplify 1/2 into 1/2 9.463 * [taylor]: Taking taylor expansion of x in x 9.463 * [backup-simplify]: Simplify 0 into 0 9.463 * [backup-simplify]: Simplify 1 into 1 9.463 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.463 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.464 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 9.464 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.464 * [taylor]: Taking taylor expansion of x in x 9.464 * [backup-simplify]: Simplify 0 into 0 9.464 * [backup-simplify]: Simplify 1 into 1 9.464 * [backup-simplify]: Simplify (* 0 1/2) into 0 9.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.466 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.466 * [backup-simplify]: Simplify (+ 0) into 0 9.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.467 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 9.467 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 9.467 * [backup-simplify]: Simplify (* 1 1) into 1 9.468 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.468 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 9.468 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 9.468 * [taylor]: Taking taylor expansion of (sin x) in x 9.468 * [taylor]: Taking taylor expansion of x in x 9.468 * [backup-simplify]: Simplify 0 into 0 9.468 * [backup-simplify]: Simplify 1 into 1 9.468 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 9.468 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 9.468 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 9.468 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 9.468 * [taylor]: Taking taylor expansion of 1/2 in x 9.468 * [backup-simplify]: Simplify 1/2 into 1/2 9.468 * [taylor]: Taking taylor expansion of x in x 9.468 * [backup-simplify]: Simplify 0 into 0 9.468 * [backup-simplify]: Simplify 1 into 1 9.468 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.469 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.469 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 9.469 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 9.469 * [taylor]: Taking taylor expansion of 1/2 in x 9.469 * [backup-simplify]: Simplify 1/2 into 1/2 9.469 * [taylor]: Taking taylor expansion of x in x 9.469 * [backup-simplify]: Simplify 0 into 0 9.469 * [backup-simplify]: Simplify 1 into 1 9.469 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.469 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.470 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 9.470 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.470 * [taylor]: Taking taylor expansion of x in x 9.470 * [backup-simplify]: Simplify 0 into 0 9.470 * [backup-simplify]: Simplify 1 into 1 9.471 * [backup-simplify]: Simplify (* 0 1/2) into 0 9.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.472 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.472 * [backup-simplify]: Simplify (+ 0) into 0 9.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.473 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 9.473 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 9.474 * [backup-simplify]: Simplify (* 1 1) into 1 9.474 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.474 * [backup-simplify]: Simplify 1/2 into 1/2 9.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.475 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 9.476 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 9.477 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 9.477 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.478 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 9.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.479 * [backup-simplify]: Simplify 0 into 0 9.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.481 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 9.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.482 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 9.484 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 9.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 9.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.486 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 9.486 * [backup-simplify]: Simplify -1/24 into -1/24 9.487 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.489 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 9.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.493 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 9.495 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 9.497 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 9.499 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 9.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 9.501 * [backup-simplify]: Simplify 0 into 0 9.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.508 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 9.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.512 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 9.519 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 9.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 9.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.524 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 9.524 * [backup-simplify]: Simplify 1/720 into 1/720 9.524 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 9.525 * [backup-simplify]: Simplify (* (/ 1 (/ (/ 1 x) (sin (/ 1 x)))) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 9.525 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 9.525 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 9.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.525 * [taylor]: Taking taylor expansion of x in x 9.525 * [backup-simplify]: Simplify 0 into 0 9.525 * [backup-simplify]: Simplify 1 into 1 9.525 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 9.525 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 9.525 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 9.525 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 9.525 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.525 * [taylor]: Taking taylor expansion of 1/2 in x 9.525 * [backup-simplify]: Simplify 1/2 into 1/2 9.525 * [taylor]: Taking taylor expansion of x in x 9.525 * [backup-simplify]: Simplify 0 into 0 9.525 * [backup-simplify]: Simplify 1 into 1 9.526 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.526 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 9.526 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 9.526 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.526 * [taylor]: Taking taylor expansion of 1/2 in x 9.526 * [backup-simplify]: Simplify 1/2 into 1/2 9.526 * [taylor]: Taking taylor expansion of x in x 9.526 * [backup-simplify]: Simplify 0 into 0 9.526 * [backup-simplify]: Simplify 1 into 1 9.526 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.526 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 9.527 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 9.527 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 9.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.527 * [taylor]: Taking taylor expansion of x in x 9.527 * [backup-simplify]: Simplify 0 into 0 9.527 * [backup-simplify]: Simplify 1 into 1 9.527 * [backup-simplify]: Simplify (/ 1 1) into 1 9.527 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 9.527 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 9.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.527 * [taylor]: Taking taylor expansion of x in x 9.527 * [backup-simplify]: Simplify 0 into 0 9.527 * [backup-simplify]: Simplify 1 into 1 9.527 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 9.527 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 9.527 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 9.528 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 9.528 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.528 * [taylor]: Taking taylor expansion of 1/2 in x 9.528 * [backup-simplify]: Simplify 1/2 into 1/2 9.528 * [taylor]: Taking taylor expansion of x in x 9.528 * [backup-simplify]: Simplify 0 into 0 9.528 * [backup-simplify]: Simplify 1 into 1 9.528 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.528 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 9.528 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 9.528 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.528 * [taylor]: Taking taylor expansion of 1/2 in x 9.528 * [backup-simplify]: Simplify 1/2 into 1/2 9.528 * [taylor]: Taking taylor expansion of x in x 9.528 * [backup-simplify]: Simplify 0 into 0 9.528 * [backup-simplify]: Simplify 1 into 1 9.529 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.529 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 9.529 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 9.529 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 9.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.529 * [taylor]: Taking taylor expansion of x in x 9.529 * [backup-simplify]: Simplify 0 into 0 9.529 * [backup-simplify]: Simplify 1 into 1 9.529 * [backup-simplify]: Simplify (/ 1 1) into 1 9.530 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 9.530 * [backup-simplify]: Simplify (* 1 1) into 1 9.530 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 9.530 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 9.531 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 9.531 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 9.531 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 9.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 9.532 * [backup-simplify]: Simplify 0 into 0 9.533 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 9.533 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 9.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 9.535 * [backup-simplify]: Simplify 0 into 0 9.536 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 9.537 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 9.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 9.540 * [backup-simplify]: Simplify 0 into 0 9.540 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 9.541 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 9.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 9.544 * [backup-simplify]: Simplify 0 into 0 9.545 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 9.547 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 9.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 9.551 * [backup-simplify]: Simplify 0 into 0 9.551 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 9.554 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 9.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 9.559 * [backup-simplify]: Simplify 0 into 0 9.560 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 9.560 * [backup-simplify]: Simplify (* (/ 1 (/ (/ 1 (- x)) (sin (/ 1 (- x))))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) 9.560 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 9.560 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 9.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.560 * [taylor]: Taking taylor expansion of x in x 9.560 * [backup-simplify]: Simplify 0 into 0 9.560 * [backup-simplify]: Simplify 1 into 1 9.560 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 9.560 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 9.560 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 9.560 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 9.560 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.560 * [taylor]: Taking taylor expansion of -1/2 in x 9.561 * [backup-simplify]: Simplify -1/2 into -1/2 9.561 * [taylor]: Taking taylor expansion of x in x 9.561 * [backup-simplify]: Simplify 0 into 0 9.561 * [backup-simplify]: Simplify 1 into 1 9.561 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.561 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 9.561 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 9.561 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.561 * [taylor]: Taking taylor expansion of -1/2 in x 9.561 * [backup-simplify]: Simplify -1/2 into -1/2 9.561 * [taylor]: Taking taylor expansion of x in x 9.562 * [backup-simplify]: Simplify 0 into 0 9.562 * [backup-simplify]: Simplify 1 into 1 9.562 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.562 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 9.562 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 9.562 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 9.562 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.562 * [taylor]: Taking taylor expansion of -1 in x 9.562 * [backup-simplify]: Simplify -1 into -1 9.562 * [taylor]: Taking taylor expansion of x in x 9.562 * [backup-simplify]: Simplify 0 into 0 9.562 * [backup-simplify]: Simplify 1 into 1 9.563 * [backup-simplify]: Simplify (/ -1 1) into -1 9.563 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 9.563 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 9.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.563 * [taylor]: Taking taylor expansion of x in x 9.563 * [backup-simplify]: Simplify 0 into 0 9.563 * [backup-simplify]: Simplify 1 into 1 9.563 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 9.563 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 9.563 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 9.563 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 9.563 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.563 * [taylor]: Taking taylor expansion of -1/2 in x 9.563 * [backup-simplify]: Simplify -1/2 into -1/2 9.563 * [taylor]: Taking taylor expansion of x in x 9.563 * [backup-simplify]: Simplify 0 into 0 9.564 * [backup-simplify]: Simplify 1 into 1 9.564 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.564 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 9.564 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 9.564 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.564 * [taylor]: Taking taylor expansion of -1/2 in x 9.564 * [backup-simplify]: Simplify -1/2 into -1/2 9.564 * [taylor]: Taking taylor expansion of x in x 9.564 * [backup-simplify]: Simplify 0 into 0 9.564 * [backup-simplify]: Simplify 1 into 1 9.565 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.565 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 9.565 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 9.565 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 9.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.565 * [taylor]: Taking taylor expansion of -1 in x 9.565 * [backup-simplify]: Simplify -1 into -1 9.565 * [taylor]: Taking taylor expansion of x in x 9.565 * [backup-simplify]: Simplify 0 into 0 9.565 * [backup-simplify]: Simplify 1 into 1 9.566 * [backup-simplify]: Simplify (/ -1 1) into -1 9.566 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 9.566 * [backup-simplify]: Simplify (* 1 1) into 1 9.566 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 9.567 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 9.567 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 9.567 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 9.567 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 9.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 9.569 * [backup-simplify]: Simplify 0 into 0 9.569 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 9.570 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 9.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 9.572 * [backup-simplify]: Simplify 0 into 0 9.573 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 9.574 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 9.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 9.577 * [backup-simplify]: Simplify 0 into 0 9.578 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 9.581 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 9.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 9.583 * [backup-simplify]: Simplify 0 into 0 9.583 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 9.584 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 9.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 9.586 * [backup-simplify]: Simplify 0 into 0 9.587 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 9.588 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 9.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 9.590 * [backup-simplify]: Simplify 0 into 0 9.591 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 9.591 * * * [progress]: simplifying candidates 9.591 * * * * [progress]: [ 1 / 246 ] simplifiying candidate # 9.591 * * * * [progress]: [ 2 / 246 ] simplifiying candidate # 9.591 * * * * [progress]: [ 3 / 246 ] simplifiying candidate # 9.591 * * * * [progress]: [ 4 / 246 ] simplifiying candidate # 9.591 * * * * [progress]: [ 5 / 246 ] simplifiying candidate # 9.591 * * * * [progress]: [ 6 / 246 ] simplifiying candidate # 9.591 * * * * [progress]: [ 7 / 246 ] simplifiying candidate # 9.591 * * * * [progress]: [ 8 / 246 ] simplifiying candidate # 9.591 * * * * 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9.600 * * * * [progress]: [ 223 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 224 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 225 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 226 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 227 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 228 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 229 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 230 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 231 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 232 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 233 / 246 ] simplifiying candidate #real (real->posit16 (* (/ 1 (/ x (sin x))) (/ (tan (/ x 2)) x)))))> 9.600 * * * * [progress]: [ 234 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 235 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 236 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 237 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 238 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 239 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 240 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 241 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 242 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 243 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 244 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 245 / 246 ] simplifiying candidate # 9.600 * * * * [progress]: [ 246 / 246 ] simplifiying candidate # 9.603 * [simplify]: Simplifying (- 1), (- (- (log x) (log (sin x)))), (- (log (/ x (sin x)))), (- 0 (- (log x) (log (sin x)))), (- 0 (log (/ x (sin x)))), (- (log 1) (- (log x) (log (sin x)))), (- (log 1) (log (/ x (sin x)))), (log (/ 1 (/ x (sin x)))), (exp (/ 1 (/ x (sin x)))), (/ (* (* 1 1) 1) (/ (* (* x x) x) (* (* (sin x) (sin x)) (sin x)))), (/ (* (* 1 1) 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(/ (sqrt x) (sin x))) (/ (tan (/ x 2)) x)), (* (/ (sqrt 1) (/ x (cbrt (sin x)))) (/ (tan (/ x 2)) x)), (* (/ (sqrt 1) (/ x (sqrt (sin x)))) (/ (tan (/ x 2)) x)), (* (/ (sqrt 1) (/ x (sin x))) (/ (tan (/ x 2)) x)), (* (/ (sqrt 1) (/ x (sin x))) (/ (tan (/ x 2)) x)), (* (/ (sqrt 1) (/ 1 (sin x))) (/ (tan (/ x 2)) x)), (* (/ 1 (cbrt (/ x (sin x)))) (/ (tan (/ x 2)) x)), (* (/ 1 (sqrt (/ x (sin x)))) (/ (tan (/ x 2)) x)), (* (/ 1 (/ (cbrt x) (cbrt (sin x)))) (/ (tan (/ x 2)) x)), (* (/ 1 (/ (cbrt x) (sqrt (sin x)))) (/ (tan (/ x 2)) x)), (* (/ 1 (/ (cbrt x) (sin x))) (/ (tan (/ x 2)) x)), (* (/ 1 (/ (sqrt x) (cbrt (sin x)))) (/ (tan (/ x 2)) x)), (* (/ 1 (/ (sqrt x) (sqrt (sin x)))) (/ (tan (/ x 2)) x)), (* (/ 1 (/ (sqrt x) (sin x))) (/ (tan (/ x 2)) x)), (* (/ 1 (/ x (cbrt (sin x)))) (/ (tan (/ x 2)) x)), (* (/ 1 (/ x (sqrt (sin x)))) (/ (tan (/ x 2)) x)), (* (/ 1 (/ x (sin x))) (/ (tan (/ x 2)) x)), (* (/ 1 (/ x (sin x))) (/ (tan (/ x 2)) x)), (* (/ 1 (/ 1 (sin x))) (/ (tan (/ x 2)) x)), (* (/ 1 (/ x (sin x))) (/ (tan (/ x 2)) x)), (* (/ 1 (/ x (sin x))) (/ (tan (/ x 2)) x)), (* (sin x) (/ (tan (/ x 2)) x)), (* (/ 1 (/ x (sin x))) (tan (/ x 2))), (* 1 (/ (tan (/ x 2)) x)), (real->posit16 (* (/ 1 (/ x (sin x))) (/ (tan (/ x 2)) x))), (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))), (/ (sin x) x), (/ (sin x) x), (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)), (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)), (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)), (+ (* 1/6 (pow x 2)) (+ (* 7/360 (pow x 4)) 1)), (/ x (sin x)), (/ x (sin x)), (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))), (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))), (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 9.606 * * [simplify]: iteration 1: (316 enodes) 9.779 * * [simplify]: iteration 2: (1451 enodes) 10.108 * * [simplify]: Extracting #0: cost 148 inf + 0 10.111 * * [simplify]: Extracting #1: cost 810 inf + 470 10.121 * * [simplify]: Extracting #2: cost 986 inf + 14284 10.139 * * [simplify]: Extracting #3: cost 740 inf + 56474 10.179 * * [simplify]: Extracting #4: cost 558 inf + 99108 10.239 * * [simplify]: Extracting #5: cost 161 inf + 236804 10.324 * * [simplify]: Extracting #6: cost 5 inf + 298134 10.414 * * [simplify]: Extracting #7: cost 0 inf + 299960 10.501 * [simplify]: Simplified to -1, (- (log (/ x (sin x)))), (- (log (/ x (sin x)))), (- (log (/ x (sin x)))), (- (log (/ x (sin x)))), (- (log (/ x (sin x)))), (- (log (/ x (sin x)))), (- (log (/ x (sin x)))), (exp (* (/ 1 x) (sin x))), (/ (/ 1 (* (/ x (sin x)) (/ x (sin x)))) (/ x (sin x))), (/ 1 (* (/ x (sin x)) (* (/ x (sin x)) (/ x (sin x))))), (* (cbrt (* (/ 1 x) (sin x))) (cbrt (* (/ 1 x) (sin x)))), (cbrt (* (/ 1 x) (sin x))), (* (* (/ 1 x) (sin x)) (* (* (/ 1 x) (sin x)) (* (/ 1 x) (sin x)))), (sqrt (* (/ 1 x) (sin x))), (sqrt (* (/ 1 x) (sin x))), -1, (/ (- x) (sin x)), (* (/ 1 (cbrt (/ x (sin x)))) (/ 1 (cbrt (/ x (sin x))))), (/ 1 (cbrt (/ x (sin x)))), (/ 1 (sqrt (/ x (sin x)))), (/ 1 (sqrt 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(/ (sin (* 1/2 x)) (cos (* 1/2 x))) x), (/ (/ (sin (* 1/2 x)) (cos (* 1/2 x))) x), (+ (+ (* 7/360 (* (* x x) (* x x))) 1) (* (* x x) 1/6)), (/ x (sin x)), (/ x (sin x)), (- (+ 1/2 (* 1/720 (* (* x x) (* x x)))) (* (* x x) 1/24)), (/ (* (sin (* 1/2 x)) (sin x)) (* (* x x) (cos (* 1/2 x)))), (/ (* (sin (* 1/2 x)) (sin x)) (* (* x x) (cos (* 1/2 x)))) 10.517 * * * [progress]: adding candidates to table 12.904 * [progress]: [Phase 3 of 3] Extracting. 12.904 * * [regime]: Finding splitpoints for: (# # # # # #) 12.908 * * * [regime-changes]: Trying 1 branch expressions: (x) 12.908 * * * * [regimes]: Trying to branch on x from (# # # # # #) 12.971 * * * [regime]: Found split indices: #