0.003 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.177 * * * [progress]: [2/2] Setting up program. 0.181 * [progress]: [Phase 2 of 3] Improving. 0.181 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.182 * [simplify]: Simplifying: (/ (- 1 (cos x)) (* x x)) 0.182 * * [simplify]: iteration 1: (6 enodes) 0.185 * * [simplify]: iteration 2: (27 enodes) 0.194 * * [simplify]: iteration 3: (45 enodes) 0.208 * * [simplify]: iteration 4: (56 enodes) 0.222 * * [simplify]: iteration 5: (60 enodes) 0.237 * * [simplify]: Extracting #0: cost 1 inf + 0 0.237 * * [simplify]: Extracting #1: cost 9 inf + 0 0.237 * * [simplify]: Extracting #2: cost 19 inf + 42 0.237 * * [simplify]: Extracting #3: cost 17 inf + 629 0.238 * * [simplify]: Extracting #4: cost 7 inf + 1764 0.238 * * [simplify]: Extracting #5: cost 0 inf + 2636 0.239 * [simplify]: Simplified to: (/ (- 1 (cos x)) (* x x)) 0.241 * * [progress]: iteration 1 / 4 0.241 * * * [progress]: picking best candidate 0.243 * * * * [pick]: Picked # 0.243 * * * [progress]: localizing error 0.253 * * * [progress]: generating rewritten candidates 0.253 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.270 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.284 * * * [progress]: generating series expansions 0.284 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.289 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2)) 0.289 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.289 * [taylor]: Taking taylor expansion of 1 in x 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [taylor]: Taking taylor expansion of (cos x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (- 1) into -1 0.291 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.292 * [backup-simplify]: Simplify (+ 0) into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.294 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.294 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.294 * [backup-simplify]: Simplify (* 1 1) into 1 0.295 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.295 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.295 * [taylor]: Taking taylor expansion of 1 in x 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [taylor]: Taking taylor expansion of (cos x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (- 1) into -1 0.295 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.296 * [backup-simplify]: Simplify (+ 0) into 0 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.297 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.297 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.298 * [backup-simplify]: Simplify 1/2 into 1/2 0.299 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.302 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.303 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.304 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.304 * [backup-simplify]: Simplify -1/24 into -1/24 0.305 * [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 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.310 * [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 0.311 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.311 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.313 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.313 * [backup-simplify]: Simplify 1/720 into 1/720 0.314 * [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))) 0.314 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.314 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 0.314 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.314 * [taylor]: Taking taylor expansion of 1 in x 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.315 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.315 * [taylor]: Taking taylor expansion of 1 in x 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.316 * [backup-simplify]: Simplify (* 1 1) into 1 0.316 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.316 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.316 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.316 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (- 0) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.331 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.331 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.331 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.331 * [taylor]: Taking taylor expansion of 1 in x 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.331 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.331 * [taylor]: Taking taylor expansion of -1 in x 0.331 * [backup-simplify]: Simplify -1 into -1 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (/ -1 1) into -1 0.331 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.332 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.332 * [taylor]: Taking taylor expansion of 1 in x 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.332 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.332 * [taylor]: Taking taylor expansion of -1 in x 0.332 * [backup-simplify]: Simplify -1 into -1 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ -1 1) into -1 0.332 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.332 * [backup-simplify]: Simplify (* 1 1) into 1 0.332 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.332 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.333 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.333 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.347 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.347 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.347 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.347 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.347 * [taylor]: Taking taylor expansion of 1 in x 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [taylor]: Taking taylor expansion of (cos x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.347 * [taylor]: Taking taylor expansion of 1 in x 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [taylor]: Taking taylor expansion of (cos x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (- 1) into -1 0.348 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (+ 0) into 0 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.349 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.350 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.350 * [backup-simplify]: Simplify 1/2 into 1/2 0.350 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.352 * [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 0.353 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.353 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.353 * [backup-simplify]: Simplify -1/24 into -1/24 0.354 * [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 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.357 * [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 0.358 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.358 * [backup-simplify]: Simplify 1/720 into 1/720 0.358 * [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))) 0.358 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.358 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.358 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.358 * [taylor]: Taking taylor expansion of 1 in x 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.359 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.359 * [taylor]: Taking taylor expansion of 1 in x 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.359 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.359 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.359 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.362 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.363 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.363 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.363 * [taylor]: Taking taylor expansion of 1 in x 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.363 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.363 * [taylor]: Taking taylor expansion of -1 in x 0.363 * [backup-simplify]: Simplify -1 into -1 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [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 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.363 * [taylor]: Taking taylor expansion of 1 in x 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.363 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.363 * [taylor]: Taking taylor expansion of -1 in x 0.363 * [backup-simplify]: Simplify -1 into -1 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [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)) 0.364 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.364 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.364 * [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 0 into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (- 0) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.373 * * * [progress]: simplifying candidates 0.373 * * * * [progress]: [ 1 / 69 ] simplifiying candidate # 0.373 * * * * [progress]: [ 2 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 3 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 4 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 5 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 6 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 7 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 8 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 9 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 10 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 11 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 12 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 13 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 14 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 15 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 16 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 17 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 18 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 19 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 20 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 21 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 22 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 23 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 24 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 25 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 26 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 27 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 28 / 69 ] simplifiying candidate # 0.374 * * * * [progress]: [ 29 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 30 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 31 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 32 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.375 * * * * [progress]: [ 34 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 35 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 36 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 37 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 38 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 39 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 40 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 41 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 42 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 43 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 44 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 45 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 46 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 47 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 48 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 49 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 50 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 51 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 52 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 53 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 54 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 55 / 69 ] simplifiying candidate # 0.375 * * * * [progress]: [ 56 / 69 ] simplifiying candidate # 0.376 * * * * [progress]: [ 57 / 69 ] simplifiying candidate # 0.376 * * * * [progress]: [ 58 / 69 ] simplifiying candidate # 0.376 * * * * [progress]: [ 59 / 69 ] simplifiying candidate # 0.376 * * * * [progress]: [ 60 / 69 ] simplifiying candidate # 0.376 * * * * [progress]: [ 61 / 69 ] simplifiying candidate # 0.376 * * * * [progress]: [ 62 / 69 ] simplifiying candidate # 0.376 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.376 * * * * [progress]: [ 64 / 69 ] simplifiying candidate # 0.376 * * * * [progress]: [ 65 / 69 ] simplifiying candidate # 0.376 * * * * [progress]: [ 66 / 69 ] simplifiying candidate # 0.376 * * * * [progress]: [ 67 / 69 ] simplifiying candidate # 0.376 * * * * [progress]: [ 68 / 69 ] simplifiying candidate # 0.376 * * * * [progress]: [ 69 / 69 ] simplifiying candidate # 0.377 * [simplify]: Simplifying: (expm1 (/ (- 1 (cos x)) (* x x))) (log1p (/ (- 1 (cos x)) (* x x))) (- (log (- 1 (cos x))) (+ (log x) (log x))) (- (log (- 1 (cos x))) (log (* x x))) (log (/ (- 1 (cos x)) (* x x))) (exp (/ (- 1 (cos x)) (* x x))) (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x))) (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (- (- 1 (cos x))) (- (* x x)) (/ 1 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x) (/ (cbrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (+ (sqrt 1) (sqrt (cos x))) x) (/ (- (sqrt 1) (sqrt (cos x))) x) (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1 (cos x))) (/ (- 1 (cos x)) x) (/ (* x x) (cbrt (- 1 (cos x)))) (/ (* x x) (sqrt (- 1 (cos x)))) (/ (* x x) (- 1 (cos x))) (/ (* x x) (- (sqrt 1) (sqrt (cos x)))) (/ (* x x) (- 1 (sqrt (cos x)))) (/ (* x x) (- 1 (cos x))) (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))) (* (* x x) (+ 1 (cos x))) (real->posit16 (/ (- 1 (cos x)) (* x x))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1) (sqrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1) (exp (cos x))) (log (- 1 (cos x))) (exp (- 1 (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))) (- (cos x)) (- (* 1 1) (* (cos x) (cos x))) (+ 1 (cos x)) (+ (sqrt 1) (sqrt (cos x))) (- (sqrt 1) (sqrt (cos x))) (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (real->posit16 (- 1 (cos x))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1 (cos x)) (pow x 2)) (/ (- 1 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1 (cos x)) (- 1 (cos x)) 0.378 * * [simplify]: iteration 1: (121 enodes) 0.421 * * [simplify]: iteration 2: (487 enodes) 0.564 * * [simplify]: iteration 3: (1039 enodes) 1.086 * * [simplify]: Extracting #0: cost 47 inf + 0 1.088 * * [simplify]: Extracting #1: cost 293 inf + 0 1.093 * * [simplify]: Extracting #2: cost 503 inf + 7171 1.111 * * [simplify]: Extracting #3: cost 301 inf + 46390 1.149 * * [simplify]: Extracting #4: cost 48 inf + 103491 1.176 * * [simplify]: Extracting #5: cost 1 inf + 115308 1.204 * * [simplify]: Extracting #6: cost 0 inf + 115449 1.231 * [simplify]: Simplified to: (expm1 (/ (/ (- 1 (cos x)) x) x)) (log1p (/ (/ (- 1 (cos x)) x) x)) (log (/ (/ (- 1 (cos x)) x) x)) (log (/ (/ (- 1 (cos x)) x) x)) (log (/ (/ (- 1 (cos x)) x) x)) (exp (/ (/ (- 1 (cos x)) x) x)) (* (/ (- 1 (cos x)) (* x x)) (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)))) (* (/ (- 1 (cos x)) (* x x)) (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)))) (* (cbrt (/ (/ (- 1 (cos x)) x) x)) (cbrt (/ (/ (- 1 (cos x)) x) x))) (cbrt (/ (/ (- 1 (cos x)) x) x)) (* (/ (- 1 (cos x)) (* x x)) (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)))) (sqrt (/ (/ (- 1 (cos x)) x) x)) (sqrt (/ (/ (- 1 (cos x)) x) x)) (- (- 1 (cos x))) (* (- x) x) (/ (/ 1 x) x) (/ (cos x) (* x x)) (/ (cbrt (- 1 (cos x))) (/ x (cbrt (- 1 (cos x))))) (/ (cbrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x) (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (/ 1 x) x) (* (/ x (- 1 (cos x))) x) (/ (- 1 (cos x)) x) (/ (* x x) (cbrt (- 1 (cos x)))) (/ (* x x) (sqrt (- 1 (cos x)))) (* (/ x (- 1 (cos x))) x) (/ (* x x) (- 1 (sqrt (cos x)))) (/ (* x x) (- 1 (sqrt (cos x)))) (* (/ x (- 1 (cos x))) x) (fma (fma (cos x) (cos x) (cos x)) (* x x) (* x x)) (* (fma x (cos x) x) x) (real->posit16 (/ (/ (- 1 (cos x)) x) x)) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ E (exp (cos x))) (log (- 1 (cos x))) (/ E (exp (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- 1 (* (cos x) (* (cos x) (cos x)))) (fma (cos x) (+ (cos x) 1) 1) (- (cos x)) (* (sin x) (sin x)) (+ (cos x) 1) (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x))) (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (real->posit16 (- 1 (cos x))) (fma (* x x) -1/24 (fma (* 1/720 (* x x)) (* x x) 1/2)) (/ (/ (- 1 (cos x)) x) x) (/ (/ (- 1 (cos x)) x) x) (fma (* (* x x) (* x x)) -1/24 (fma 1/720 (* (* (* x x) (* x x)) (* x x)) (* 1/2 (* x x)))) (- 1 (cos x)) (- 1 (cos x)) 1.235 * * * [progress]: adding candidates to table 1.811 * * [progress]: iteration 2 / 4 1.811 * * * [progress]: picking best candidate 1.828 * * * * [pick]: Picked # 1.828 * * * [progress]: localizing error 1.853 * * * [progress]: generating rewritten candidates 1.853 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.873 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.882 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.894 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.919 * * * [progress]: generating series expansions 1.919 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.919 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 1.919 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 1.919 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 1.919 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.919 * [taylor]: Taking taylor expansion of (sin x) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.921 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 1.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.921 * [taylor]: Taking taylor expansion of x in x 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.921 * [taylor]: Taking taylor expansion of (cos x) in x 1.921 * [taylor]: Taking taylor expansion of x in x 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [taylor]: Taking taylor expansion of 1 in x 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (* 1 1) into 1 1.922 * [backup-simplify]: Simplify (* 1 1) into 1 1.922 * [backup-simplify]: Simplify (+ 1 1) into 2 1.923 * [backup-simplify]: Simplify (* 1 2) into 2 1.923 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.923 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 1.923 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.923 * [taylor]: Taking taylor expansion of (sin x) in x 1.923 * [taylor]: Taking taylor expansion of x in x 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.924 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.924 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 1.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.924 * [taylor]: Taking taylor expansion of x in x 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 1 into 1 1.924 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.924 * [taylor]: Taking taylor expansion of (cos x) in x 1.924 * [taylor]: Taking taylor expansion of x in x 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 1 into 1 1.924 * [taylor]: Taking taylor expansion of 1 in x 1.924 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (* 1 1) into 1 1.925 * [backup-simplify]: Simplify (* 1 1) into 1 1.925 * [backup-simplify]: Simplify (+ 1 1) into 2 1.926 * [backup-simplify]: Simplify (* 1 2) into 2 1.926 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.926 * [backup-simplify]: Simplify 1/2 into 1/2 1.927 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.927 * [backup-simplify]: Simplify (+ 0) into 0 1.927 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 1.929 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.930 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.931 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.931 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.932 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 1.933 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 1.933 * [backup-simplify]: Simplify -1/24 into -1/24 1.934 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.936 * [backup-simplify]: Simplify (+ 0 0) into 0 1.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 1.938 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 1.941 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.942 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.944 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 1.945 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 1.945 * [backup-simplify]: Simplify 1/720 into 1/720 1.945 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 1.946 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) 1.946 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 1.946 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 1.946 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 1.946 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.946 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.946 * [taylor]: Taking taylor expansion of x in x 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (/ 1 1) into 1 1.946 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.946 * [taylor]: Taking taylor expansion of x in x 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.946 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.946 * [taylor]: Taking taylor expansion of x in x 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (/ 1 1) into 1 1.947 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.947 * [taylor]: Taking taylor expansion of 1 in x 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.947 * [backup-simplify]: Simplify (* 1 1) into 1 1.947 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 1.947 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.947 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.947 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 1.947 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 1.947 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.947 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.947 * [taylor]: Taking taylor expansion of x in x 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (/ 1 1) into 1 1.948 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.948 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.948 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (/ 1 1) into 1 1.948 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.948 * [taylor]: Taking taylor expansion of 1 in x 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.948 * [backup-simplify]: Simplify (* 1 1) into 1 1.949 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 1.949 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.949 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.949 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.949 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 1.950 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.951 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 1.952 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.952 * [backup-simplify]: Simplify (+ 0 0) into 0 1.952 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 1.954 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.956 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 1.957 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.957 * [backup-simplify]: Simplify (+ 0 0) into 0 1.957 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.962 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 1.963 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.963 * [backup-simplify]: Simplify (+ 0 0) into 0 1.963 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.966 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 1.966 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 1.967 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) 1.967 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 1.967 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 1.967 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 1.967 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.968 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.968 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.968 * [taylor]: Taking taylor expansion of -1 in x 1.968 * [backup-simplify]: Simplify -1 into -1 1.968 * [taylor]: Taking taylor expansion of x in x 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (/ -1 1) into -1 1.968 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.968 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.968 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.968 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.968 * [taylor]: Taking taylor expansion of -1 in x 1.968 * [backup-simplify]: Simplify -1 into -1 1.968 * [taylor]: Taking taylor expansion of x in x 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (/ -1 1) into -1 1.968 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.968 * [taylor]: Taking taylor expansion of 1 in x 1.968 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (* 1 1) into 1 1.969 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.969 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 1.969 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.969 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.969 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 1.969 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 1.969 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.969 * [taylor]: Taking taylor expansion of x in x 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.969 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.969 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.969 * [taylor]: Taking taylor expansion of -1 in x 1.969 * [backup-simplify]: Simplify -1 into -1 1.969 * [taylor]: Taking taylor expansion of x in x 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (/ -1 1) into -1 1.970 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.970 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.970 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.970 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.970 * [taylor]: Taking taylor expansion of -1 in x 1.970 * [backup-simplify]: Simplify -1 into -1 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (/ -1 1) into -1 1.970 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.970 * [taylor]: Taking taylor expansion of 1 in x 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (* 1 1) into 1 1.970 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.970 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 1.970 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.971 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.971 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.971 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 1.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 1.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 1.976 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.976 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 1.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 1.979 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 1.983 * [backup-simplify]: Simplify (+ 0 0) into 0 1.984 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 1.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 1.989 * [backup-simplify]: Simplify (+ 0 0) into 0 1.990 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 1.990 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.990 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 1.990 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 1.990 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.990 * [taylor]: Taking taylor expansion of (cos x) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [taylor]: Taking taylor expansion of 1 in x 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.990 * [taylor]: Taking taylor expansion of (cos x) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [taylor]: Taking taylor expansion of 1 in x 1.990 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (+ 1 1) into 2 1.991 * [backup-simplify]: Simplify 2 into 2 1.991 * [backup-simplify]: Simplify (+ 0) into 0 1.991 * [backup-simplify]: Simplify (+ 0 0) into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.993 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.993 * [backup-simplify]: Simplify -1/2 into -1/2 1.994 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.994 * [backup-simplify]: Simplify (+ 0 0) into 0 1.994 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.997 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.997 * [backup-simplify]: Simplify 1/24 into 1/24 1.997 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2)) into (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) 1.997 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 1.997 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 1.997 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.997 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (/ 1 1) into 1 1.998 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.998 * [taylor]: Taking taylor expansion of 1 in x 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.998 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (/ 1 1) into 1 1.999 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.999 * [taylor]: Taking taylor expansion of 1 in x 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.999 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.999 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (+ 0 0) into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (+ 0 0) into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (+ 0 0) into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ 0 0) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ 0 0) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 2.001 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 2.001 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 2.001 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.001 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.001 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.001 * [taylor]: Taking taylor expansion of -1 in x 2.001 * [backup-simplify]: Simplify -1 into -1 2.001 * [taylor]: Taking taylor expansion of x in x 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (/ -1 1) into -1 2.002 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.002 * [taylor]: Taking taylor expansion of 1 in x 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.002 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.002 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.002 * [taylor]: Taking taylor expansion of -1 in x 2.002 * [backup-simplify]: Simplify -1 into -1 2.002 * [taylor]: Taking taylor expansion of x in x 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (/ -1 1) into -1 2.003 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.003 * [taylor]: Taking taylor expansion of 1 in x 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.003 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.003 * [backup-simplify]: Simplify (+ 0 0) into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 2.005 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.005 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 2.005 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 2.005 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.005 * [taylor]: Taking taylor expansion of (sin x) in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.006 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.006 * [taylor]: Taking taylor expansion of (sin x) in x 2.006 * [taylor]: Taking taylor expansion of x in x 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.007 * [backup-simplify]: Simplify (* 1 1) into 1 2.007 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.011 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.011 * [backup-simplify]: Simplify -1/3 into -1/3 2.012 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.014 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 2.018 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.018 * [backup-simplify]: Simplify 2/45 into 2/45 2.019 * [backup-simplify]: Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (pow x 2)))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) 2.019 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.019 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 2.019 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.019 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.019 * [taylor]: Taking taylor expansion of x in x 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 1 into 1 2.020 * [backup-simplify]: Simplify (/ 1 1) into 1 2.020 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.020 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.020 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.020 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.020 * [taylor]: Taking taylor expansion of x in x 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [backup-simplify]: Simplify (/ 1 1) into 1 2.020 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.020 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.020 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 2.021 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.024 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 2.026 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 2.026 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 2.026 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.026 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.026 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.026 * [taylor]: Taking taylor expansion of -1 in x 2.027 * [backup-simplify]: Simplify -1 into -1 2.027 * [taylor]: Taking taylor expansion of x in x 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (/ -1 1) into -1 2.027 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.027 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.027 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.027 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.028 * [taylor]: Taking taylor expansion of -1 in x 2.028 * [backup-simplify]: Simplify -1 into -1 2.028 * [taylor]: Taking taylor expansion of x in x 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (/ -1 1) into -1 2.028 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.028 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.029 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 2.029 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 2.035 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.035 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.035 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 2.035 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 2.035 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.035 * [taylor]: Taking taylor expansion of (sin x) in x 2.035 * [taylor]: Taking taylor expansion of x in x 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.036 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.036 * [taylor]: Taking taylor expansion of (cos x) in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [taylor]: Taking taylor expansion of 1 in x 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (* 1 1) into 1 2.036 * [backup-simplify]: Simplify (+ 1 1) into 2 2.037 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.037 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 2.037 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.037 * [taylor]: Taking taylor expansion of (sin x) in x 2.037 * [taylor]: Taking taylor expansion of x in x 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.037 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.038 * [taylor]: Taking taylor expansion of (cos x) in x 2.038 * [taylor]: Taking taylor expansion of x in x 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [taylor]: Taking taylor expansion of 1 in x 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [backup-simplify]: Simplify (* 1 1) into 1 2.038 * [backup-simplify]: Simplify (+ 1 1) into 2 2.038 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.038 * [backup-simplify]: Simplify 1/2 into 1/2 2.039 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.040 * [backup-simplify]: Simplify (+ 0) into 0 2.040 * [backup-simplify]: Simplify (+ 0 0) into 0 2.040 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.042 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.043 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.043 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.044 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 2.044 * [backup-simplify]: Simplify -1/24 into -1/24 2.045 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 2.051 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.052 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.053 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.054 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 2.054 * [backup-simplify]: Simplify 1/720 into 1/720 2.054 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 2.054 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.054 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 2.054 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 2.054 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.054 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 1 into 1 2.055 * [backup-simplify]: Simplify (/ 1 1) into 1 2.055 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.055 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.055 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [backup-simplify]: Simplify (/ 1 1) into 1 2.055 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.055 * [taylor]: Taking taylor expansion of 1 in x 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.055 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.055 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.055 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 2.056 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.056 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.056 * [taylor]: Taking taylor expansion of x in x 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (/ 1 1) into 1 2.056 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.056 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.056 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.056 * [taylor]: Taking taylor expansion of x in x 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (/ 1 1) into 1 2.056 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.056 * [taylor]: Taking taylor expansion of 1 in x 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.056 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.057 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.057 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.057 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.057 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.058 * [backup-simplify]: Simplify (+ 0 0) into 0 2.059 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.059 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.060 * [backup-simplify]: Simplify (+ 0 0) into 0 2.060 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.062 * [backup-simplify]: Simplify (+ 0 0) into 0 2.063 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.070 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.072 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.072 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 2.072 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 2.072 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.072 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.072 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.072 * [taylor]: Taking taylor expansion of -1 in x 2.072 * [backup-simplify]: Simplify -1 into -1 2.072 * [taylor]: Taking taylor expansion of x in x 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (/ -1 1) into -1 2.073 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.073 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.073 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.073 * [taylor]: Taking taylor expansion of -1 in x 2.073 * [backup-simplify]: Simplify -1 into -1 2.073 * [taylor]: Taking taylor expansion of x in x 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (/ -1 1) into -1 2.073 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.073 * [taylor]: Taking taylor expansion of 1 in x 2.073 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.074 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.074 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.074 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 2.074 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.074 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.074 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.074 * [taylor]: Taking taylor expansion of -1 in x 2.074 * [backup-simplify]: Simplify -1 into -1 2.074 * [taylor]: Taking taylor expansion of x in x 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (/ -1 1) into -1 2.074 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.075 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.075 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.075 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.075 * [taylor]: Taking taylor expansion of -1 in x 2.075 * [backup-simplify]: Simplify -1 into -1 2.075 * [taylor]: Taking taylor expansion of x in x 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify (/ -1 1) into -1 2.075 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.075 * [taylor]: Taking taylor expansion of 1 in x 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.075 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.076 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.076 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.076 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.076 * [backup-simplify]: Simplify (+ 0 0) into 0 2.077 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.078 * [backup-simplify]: Simplify (+ 0 0) into 0 2.078 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.080 * [backup-simplify]: Simplify (+ 0 0) into 0 2.080 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.080 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.082 * [backup-simplify]: Simplify (+ 0 0) into 0 2.083 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.086 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.088 * [backup-simplify]: Simplify (+ 0 0) into 0 2.089 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.089 * * * [progress]: simplifying candidates 2.089 * * * * [progress]: [ 1 / 138 ] simplifiying candidate # 2.089 * * * * [progress]: [ 2 / 138 ] simplifiying candidate # 2.090 * * * * [progress]: [ 3 / 138 ] simplifiying candidate # 2.090 * * * * [progress]: [ 4 / 138 ] simplifiying candidate # 2.090 * * * * [progress]: [ 5 / 138 ] simplifiying candidate # 2.090 * * * * [progress]: [ 6 / 138 ] simplifiying candidate # 2.090 * * * * [progress]: [ 7 / 138 ] simplifiying candidate # 2.090 * * * * [progress]: [ 8 / 138 ] simplifiying candidate # 2.090 * * * * [progress]: [ 9 / 138 ] simplifiying candidate # 2.090 * * * * [progress]: [ 10 / 138 ] simplifiying candidate # 2.090 * * * * [progress]: [ 11 / 138 ] simplifiying candidate # 2.090 * * * * [progress]: [ 12 / 138 ] simplifiying candidate # 2.090 * * * * [progress]: [ 13 / 138 ] simplifiying candidate # 2.090 * * * * [progress]: [ 14 / 138 ] simplifiying candidate # 2.090 * * * * [progress]: [ 15 / 138 ] simplifiying candidate # 2.091 * * * * [progress]: [ 16 / 138 ] simplifiying candidate # 2.091 * * * * [progress]: [ 17 / 138 ] simplifiying candidate # 2.091 * * * * [progress]: [ 18 / 138 ] simplifiying candidate # 2.091 * * * * [progress]: [ 19 / 138 ] simplifiying candidate # 2.091 * * * * [progress]: [ 20 / 138 ] simplifiying candidate # 2.091 * * * * [progress]: [ 21 / 138 ] simplifiying candidate # 2.091 * * * * [progress]: [ 22 / 138 ] simplifiying candidate # 2.091 * * * * [progress]: [ 23 / 138 ] simplifiying candidate # 2.091 * * * * [progress]: [ 24 / 138 ] simplifiying candidate # 2.091 * * * * [progress]: [ 25 / 138 ] simplifiying candidate # 2.091 * * * * [progress]: [ 26 / 138 ] simplifiying candidate # 2.091 * * * * [progress]: [ 27 / 138 ] simplifiying candidate # 2.091 * * * * [progress]: [ 28 / 138 ] simplifiying candidate # 2.091 * * * * [progress]: [ 29 / 138 ] simplifiying candidate # 2.091 * * * * [progress]: [ 30 / 138 ] simplifiying candidate # 2.092 * * * * [progress]: [ 31 / 138 ] simplifiying candidate # 2.092 * * * * [progress]: [ 32 / 138 ] simplifiying candidate # 2.092 * * * * [progress]: [ 33 / 138 ] simplifiying candidate # 2.092 * * * * [progress]: [ 34 / 138 ] simplifiying candidate # 2.092 * * * * [progress]: [ 35 / 138 ] simplifiying candidate # 2.092 * * * * [progress]: [ 36 / 138 ] simplifiying candidate # 2.092 * * * * [progress]: [ 37 / 138 ] simplifiying candidate # 2.092 * * * * [progress]: [ 38 / 138 ] simplifiying candidate # 2.092 * * * * [progress]: [ 39 / 138 ] simplifiying candidate # 2.092 * * * * [progress]: [ 40 / 138 ] simplifiying candidate # 2.092 * * * * [progress]: [ 41 / 138 ] simplifiying candidate # 2.092 * * * * [progress]: [ 42 / 138 ] simplifiying candidate # 2.092 * * * * [progress]: [ 43 / 138 ] simplifiying candidate # 2.092 * * * * [progress]: [ 44 / 138 ] simplifiying candidate # 2.092 * * * * [progress]: [ 45 / 138 ] simplifiying candidate # 2.093 * * * * [progress]: [ 46 / 138 ] simplifiying candidate # 2.093 * * * * [progress]: [ 47 / 138 ] simplifiying candidate # 2.093 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 2.093 * * * * [progress]: [ 49 / 138 ] simplifiying candidate # 2.093 * * * * [progress]: [ 50 / 138 ] simplifiying candidate # 2.093 * * * * [progress]: [ 51 / 138 ] simplifiying candidate # 2.093 * * * * [progress]: [ 52 / 138 ] simplifiying candidate # 2.093 * * * * [progress]: [ 53 / 138 ] simplifiying candidate # 2.093 * * * * [progress]: [ 54 / 138 ] simplifiying candidate # 2.093 * * * * [progress]: [ 55 / 138 ] simplifiying candidate # 2.093 * * * * [progress]: [ 56 / 138 ] simplifiying candidate # 2.093 * * * * [progress]: [ 57 / 138 ] simplifiying candidate # 2.093 * * * * [progress]: [ 58 / 138 ] simplifiying candidate # 2.093 * * * * [progress]: [ 59 / 138 ] simplifiying candidate # 2.093 * * * * [progress]: [ 60 / 138 ] simplifiying candidate # 2.094 * * * * [progress]: [ 61 / 138 ] simplifiying candidate # 2.094 * * * * [progress]: [ 62 / 138 ] simplifiying candidate # 2.094 * * * * [progress]: [ 63 / 138 ] simplifiying candidate # 2.094 * * * * [progress]: [ 64 / 138 ] simplifiying candidate # 2.094 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 2.094 * * * * [progress]: [ 66 / 138 ] simplifiying candidate # 2.094 * * * * [progress]: [ 67 / 138 ] simplifiying candidate # 2.094 * * * * [progress]: [ 68 / 138 ] simplifiying candidate # 2.094 * * * * [progress]: [ 69 / 138 ] simplifiying candidate # 2.094 * * * * [progress]: [ 70 / 138 ] simplifiying candidate # 2.094 * * * * [progress]: [ 71 / 138 ] simplifiying candidate # 2.094 * * * * [progress]: [ 72 / 138 ] simplifiying candidate # 2.094 * * * * [progress]: [ 73 / 138 ] simplifiying candidate # 2.094 * * * * [progress]: [ 74 / 138 ] simplifiying candidate # 2.094 * * * * [progress]: [ 75 / 138 ] simplifiying candidate # 2.094 * * * * [progress]: [ 76 / 138 ] simplifiying candidate # 2.095 * * * * [progress]: [ 77 / 138 ] simplifiying candidate # 2.095 * * * * [progress]: [ 78 / 138 ] simplifiying candidate # 2.095 * * * * [progress]: [ 79 / 138 ] simplifiying candidate # 2.095 * * * * [progress]: [ 80 / 138 ] simplifiying candidate # 2.095 * * * * [progress]: [ 81 / 138 ] simplifiying candidate # 2.095 * * * * [progress]: [ 82 / 138 ] simplifiying candidate # 2.095 * * * * [progress]: [ 83 / 138 ] simplifiying candidate # 2.095 * * * * [progress]: [ 84 / 138 ] simplifiying candidate # 2.095 * * * * [progress]: [ 85 / 138 ] simplifiying candidate # 2.095 * * * * [progress]: [ 86 / 138 ] simplifiying candidate # 2.096 * * * * [progress]: [ 87 / 138 ] simplifiying candidate # 2.096 * * * * [progress]: [ 88 / 138 ] simplifiying candidate # 2.096 * * * * [progress]: [ 89 / 138 ] simplifiying candidate # 2.096 * * * * [progress]: [ 90 / 138 ] simplifiying candidate # 2.096 * * * * [progress]: [ 91 / 138 ] simplifiying candidate # 2.096 * * * * [progress]: [ 92 / 138 ] simplifiying candidate # 2.096 * * * * [progress]: [ 93 / 138 ] simplifiying candidate # 2.096 * * * * [progress]: [ 94 / 138 ] simplifiying candidate # 2.096 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 2.096 * * * * [progress]: [ 96 / 138 ] simplifiying candidate # 2.096 * * * * [progress]: [ 97 / 138 ] simplifiying candidate # 2.096 * * * * [progress]: [ 98 / 138 ] simplifiying candidate # 2.096 * * * * [progress]: [ 99 / 138 ] simplifiying candidate # 2.096 * * * * [progress]: [ 100 / 138 ] simplifiying candidate # 2.096 * * * * [progress]: [ 101 / 138 ] simplifiying candidate # 2.096 * * * * [progress]: [ 102 / 138 ] simplifiying candidate # 2.097 * * * * [progress]: [ 103 / 138 ] simplifiying candidate # 2.097 * * * * [progress]: [ 104 / 138 ] simplifiying candidate # 2.097 * * * * [progress]: [ 105 / 138 ] simplifiying candidate # 2.097 * * * * [progress]: [ 106 / 138 ] simplifiying candidate # 2.097 * * * * [progress]: [ 107 / 138 ] simplifiying candidate # 2.097 * * * * [progress]: [ 108 / 138 ] simplifiying candidate # 2.097 * * * * [progress]: [ 109 / 138 ] simplifiying candidate # 2.097 * * * * [progress]: [ 110 / 138 ] simplifiying candidate # 2.097 * * * * [progress]: [ 111 / 138 ] simplifiying candidate # 2.097 * * * * [progress]: [ 112 / 138 ] simplifiying candidate # 2.097 * * * * [progress]: [ 113 / 138 ] simplifiying candidate # 2.097 * * * * [progress]: [ 114 / 138 ] simplifiying candidate # 2.097 * * * * [progress]: [ 115 / 138 ] simplifiying candidate # 2.097 * * * * [progress]: [ 116 / 138 ] simplifiying candidate # 2.097 * * * * [progress]: [ 117 / 138 ] simplifiying candidate # 2.098 * * * * [progress]: [ 118 / 138 ] simplifiying candidate # 2.098 * * * * [progress]: [ 119 / 138 ] simplifiying candidate # 2.098 * * * * [progress]: [ 120 / 138 ] simplifiying candidate # 2.098 * * * * [progress]: [ 121 / 138 ] simplifiying candidate # 2.098 * * * * [progress]: [ 122 / 138 ] simplifiying candidate # 2.098 * * * * [progress]: [ 123 / 138 ] simplifiying candidate # 2.098 * * * * [progress]: [ 124 / 138 ] simplifiying candidate # 2.098 * * * * [progress]: [ 125 / 138 ] simplifiying candidate # 2.098 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 2.098 * * * * [progress]: [ 127 / 138 ] simplifiying candidate # 2.098 * * * * [progress]: [ 128 / 138 ] simplifiying candidate # 2.098 * * * * [progress]: [ 129 / 138 ] simplifiying candidate # 2.098 * * * * [progress]: [ 130 / 138 ] simplifiying candidate # 2.098 * * * * [progress]: [ 131 / 138 ] simplifiying candidate # 2.098 * * * * [progress]: [ 132 / 138 ] simplifiying candidate # 2.098 * * * * [progress]: [ 133 / 138 ] simplifiying candidate # 2.098 * * * * [progress]: [ 134 / 138 ] simplifiying candidate # 2.099 * * * * [progress]: [ 135 / 138 ] simplifiying candidate # 2.099 * * * * [progress]: [ 136 / 138 ] simplifiying candidate # 2.099 * * * * [progress]: [ 137 / 138 ] simplifiying candidate # 2.099 * * * * [progress]: [ 138 / 138 ] simplifiying candidate # 2.101 * [simplify]: Simplifying: (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x))) (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x)) (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x)) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x) (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x) (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x) (/ 1 x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) (/ (* (sin x) (sin x)) x) (/ (/ 1 (+ 1 (cos x))) x) (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x) (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x) (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x) (/ (- 1 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (+ 1 (cos x)))) (/ (* x x) (/ (sin x) (+ 1 (cos x)))) (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* x x) (/ 1 (+ 1 (cos x)))) (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) (/ (* x x) (- 1 (cos x))) (* (* x x) (+ 1 (cos x))) (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (expm1 (+ 1 (cos x))) (log1p (+ 1 (cos x))) (* (exp 1) (exp (cos x))) (log (+ 1 (cos x))) (exp (+ 1 (cos x))) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))) (sqrt (+ 1 (cos x))) (sqrt (+ 1 (cos x))) (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) (- (* 1 1) (* (cos x) (cos x))) (- 1 (cos x)) (+ 1 (cos x)) (real->posit16 (+ 1 (cos x))) (expm1 (* (sin x) (sin x))) (log1p (* (sin x) (sin x))) (* 1/2 (cos (* 2 x))) (- (cos (- x x)) (cos (+ x x))) (+ 1 1) (* (sin x) (sin x)) (+ 1 1) (+ (log (sin x)) (log (sin x))) (log (* (sin x) (sin x))) (exp (* (sin x) (sin x))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) (cbrt (* (sin x) (sin x))) (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (sqrt (* (sin x) (sin x))) (sqrt (* (sin x) (sin x))) (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x)))) (* (cbrt (sin x)) (cbrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x))) (* 1 1) (* (sin x) (sin x)) (* (sqrt (sin x)) (sqrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x))) (* 2 1) (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))) (* (sin x) (sqrt (sin x))) (* (sin x) 1) (* (cbrt (sin x)) (sin x)) (* (sqrt (sin x)) (sin x)) (* (sin x) (sin x)) (real->posit16 (* (sin x) (sin x))) (expm1 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log1p (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (exp (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* (sin x) (sin x))) (- (+ 1 (cos x))) (/ 1/2 (+ 1 (cos x))) (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ 1 (+ 1 (cos x))) (/ (+ 1 (cos x)) (* (sin x) (sin x))) (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (/ (* (sin x) (sin x)) 1) (/ (* (sin x) (sin x)) 1) (/ (+ 1 (cos x)) (sin x)) (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (* (+ 1 (cos x)) 2) (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) (+ (cos x) 1) (+ (cos x) 1) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (/ (pow (sin x) 2) (+ (cos x) 1)) (/ (pow (sin x) 2) (+ (cos x) 1)) 2.103 * * [simplify]: iteration 1: (190 enodes) 2.170 * * [simplify]: iteration 2: (825 enodes) 2.412 * * [simplify]: Extracting #0: cost 105 inf + 0 2.414 * * [simplify]: Extracting #1: cost 548 inf + 2 2.421 * * [simplify]: Extracting #2: cost 774 inf + 10069 2.449 * * [simplify]: Extracting #3: cost 570 inf + 47365 2.498 * * [simplify]: Extracting #4: cost 148 inf + 156615 2.540 * * [simplify]: Extracting #5: cost 3 inf + 200690 2.593 * * [simplify]: Extracting #6: cost 0 inf + 199869 2.647 * [simplify]: Simplified to: (expm1 (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (log1p (/ (* (/ (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)))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (exp (/ (* (/ (sin x) x) (/ (sin x) 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)))) (* (* 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)))) (/ (* (* (/ (* (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) 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)) (/ (+ 1 (cos x)) (sin x))) (* x (- x)) (/ 1/2 (fma (* x x) (cos x) (* x x))) (/ (* 1/2 (cos (* x 2))) (fma (* x x) (cos x) (* x x))) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ x (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos 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) x) (cbrt (+ 1 (cos x)))) (/ (/ (sin x) x) (sqrt (+ 1 (cos x)))) (/ (/ (sin x) x) (sqrt (+ 1 (cos x)))) (/ (sin x) x) (/ (tan (/ x 2)) x) (/ (sin x) x) (/ (tan (/ x 2)) x) (/ 1 x) (/ (sin x) (/ (+ (* x (cos x)) x) (sin x))) (* (/ (sin x) x) (sin x)) (/ (/ 1 x) (+ 1 (cos x))) (/ (/ (* (sin x) (sin x)) x) (fma (cos x) (* (cos x) (cos x)) 1)) (/ (fma (cos x) (+ (cos x) -1) 1) 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) (/ (+ (* x (cos x)) x) (sin x))) (* (/ x (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) (* (/ x (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x))))) (* (/ (* x x) (sin x)) (sqrt (+ 1 (cos x)))) (* (/ x (tan (/ x 2))) x) (* (/ x (tan (/ x 2))) x) (* (* (/ x (sin x)) (/ x (sin x))) (+ 1 (cos x))) (fma (* x x) (cos x) (* x x)) (/ (* x x) (fma (cos x) (+ (cos x) -1) 1)) (/ (* x x) (- 1 (cos x))) (fma (* x x) (cos x) (* x x)) (real->posit16 (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (expm1 (+ 1 (cos x))) (log1p (+ 1 (cos x))) (* E (exp (cos x))) (log1p (cos x)) (* E (exp (cos x))) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))) (sqrt (+ 1 (cos x))) (sqrt (+ 1 (cos x))) (fma (cos x) (* (cos x) (cos x)) 1) (fma (cos x) (+ (cos x) -1) 1) (* (sin x) (sin x)) (- 1 (cos x)) (+ 1 (cos x)) (real->posit16 (+ 1 (cos x))) (expm1 (* (sin x) (sin x))) (log1p (* (sin x) (sin x))) (* 1/2 (cos (* x 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))) (* (sqrt (sin x)) (sin x)) (sin x) (* (sin x) (cbrt (sin x))) (* (sqrt (sin x)) (sin x)) (* (sin x) (sin x)) (real->posit16 (* (sin x) (sin x))) (expm1 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log1p (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (/ (* (sin x) (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) (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)))) (* (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) (/ (fma (cos x) (* (cos x) (cos x)) 1) (sin x))) (/ (* (sin x) (sin x)) (* (sin x) (sin x))) (+ (* 2 (cos x)) 2) (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (* -1/24 (* x x)) (fma (* (* x x) (* x x)) 1/720 1/2)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (+ (* -1/2 (* x x)) (fma 1/24 (* (* x x) (* x x)) 2)) (+ 1 (cos x)) (+ 1 (cos x)) (+ (* (* (* x x) (* x x)) -1/3) (fma (* (* x (* x x)) (* x (* x x))) 2/45 (* x x))) (* (sin x) (sin x)) (* (sin x) (sin x)) (fma (* x x) 1/2 (fma 1/720 (* (* x (* x x)) (* x (* x x))) (* (* (* x x) (* x x)) -1/24))) (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x))) 2.657 * * * [progress]: adding candidates to table 3.859 * * [progress]: iteration 3 / 4 3.859 * * * [progress]: picking best candidate 3.888 * * * * [pick]: Picked # 3.888 * * * [progress]: localizing error 3.922 * * * [progress]: generating rewritten candidates 3.922 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 3.938 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 3.950 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 3.989 * * * [progress]: generating series expansions 3.989 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 3.989 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 3.989 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 3.989 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 3.989 * [taylor]: Taking taylor expansion of (sin x) in x 3.989 * [taylor]: Taking taylor expansion of x in x 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify 1 into 1 3.989 * [taylor]: Taking taylor expansion of x in x 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify 1 into 1 3.991 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.991 * [backup-simplify]: Simplify (/ 1 1) into 1 3.991 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 3.991 * [taylor]: Taking taylor expansion of (sin x) in x 3.991 * [taylor]: Taking taylor expansion of x in x 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 1 into 1 3.991 * [taylor]: Taking taylor expansion of x in x 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 1 into 1 3.992 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.992 * [backup-simplify]: Simplify (/ 1 1) into 1 3.993 * [backup-simplify]: Simplify 1 into 1 3.993 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.994 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.997 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 3.997 * [backup-simplify]: Simplify -1/6 into -1/6 3.999 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 4.000 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 4.007 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 4.007 * [backup-simplify]: Simplify 1/120 into 1/120 4.007 * [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))) 4.007 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 4.007 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 4.007 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 4.007 * [taylor]: Taking taylor expansion of x in x 4.007 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.008 * [taylor]: Taking taylor expansion of x in x 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify (/ 1 1) into 1 4.008 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.008 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 4.008 * [taylor]: Taking taylor expansion of x in x 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.008 * [taylor]: Taking taylor expansion of x in x 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.009 * [backup-simplify]: Simplify (/ 1 1) into 1 4.009 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.009 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 4.009 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 4.010 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 4.011 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 4.014 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 4.018 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 4.020 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 4.021 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 4.021 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 4.021 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 4.021 * [taylor]: Taking taylor expansion of -1 in x 4.021 * [backup-simplify]: Simplify -1 into -1 4.021 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 4.021 * [taylor]: Taking taylor expansion of x in x 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify 1 into 1 4.021 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.021 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.021 * [taylor]: Taking taylor expansion of -1 in x 4.021 * [backup-simplify]: Simplify -1 into -1 4.021 * [taylor]: Taking taylor expansion of x in x 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify 1 into 1 4.022 * [backup-simplify]: Simplify (/ -1 1) into -1 4.022 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.022 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 4.022 * [taylor]: Taking taylor expansion of -1 in x 4.022 * [backup-simplify]: Simplify -1 into -1 4.022 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 4.022 * [taylor]: Taking taylor expansion of x in x 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 1 into 1 4.022 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.022 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.022 * [taylor]: Taking taylor expansion of -1 in x 4.022 * [backup-simplify]: Simplify -1 into -1 4.022 * [taylor]: Taking taylor expansion of x in x 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 1 into 1 4.023 * [backup-simplify]: Simplify (/ -1 1) into -1 4.023 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.023 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 4.023 * [backup-simplify]: Simplify (* -1 0) into 0 4.023 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 4.024 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 4.024 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 4.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 4.026 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 4.026 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 4.029 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 4.029 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 4.032 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 4.032 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 4.036 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 4.041 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 4.041 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 4.046 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 4.047 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 4.047 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 4.047 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 4.047 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 4.047 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.049 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.049 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.049 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.049 * [taylor]: Taking taylor expansion of 1/2 in x 4.049 * [backup-simplify]: Simplify 1/2 into 1/2 4.049 * [taylor]: Taking taylor expansion of x in x 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 1 into 1 4.050 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.050 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.050 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.050 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.050 * [taylor]: Taking taylor expansion of 1/2 in x 4.050 * [backup-simplify]: Simplify 1/2 into 1/2 4.050 * [taylor]: Taking taylor expansion of x in x 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify 1 into 1 4.051 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.052 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.052 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.053 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.053 * [taylor]: Taking taylor expansion of x in x 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify 1 into 1 4.053 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.054 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 4.054 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.054 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.054 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.054 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.054 * [taylor]: Taking taylor expansion of 1/2 in x 4.054 * [backup-simplify]: Simplify 1/2 into 1/2 4.054 * [taylor]: Taking taylor expansion of x in x 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 1 into 1 4.054 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.055 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.055 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.055 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.055 * [taylor]: Taking taylor expansion of 1/2 in x 4.055 * [backup-simplify]: Simplify 1/2 into 1/2 4.055 * [taylor]: Taking taylor expansion of x in x 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 1 into 1 4.056 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.056 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.057 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.058 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.058 * [taylor]: Taking taylor expansion of x in x 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify 1 into 1 4.058 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.059 * [backup-simplify]: Simplify 1/2 into 1/2 4.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.060 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.061 * [backup-simplify]: Simplify (+ 0) into 0 4.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.063 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.066 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 4.067 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 4.069 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 4.070 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 4.070 * [backup-simplify]: Simplify 1/24 into 1/24 4.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.073 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.075 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 4.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 4.078 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.084 * [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 4.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.088 * [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 4.091 * [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 4.093 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 4.093 * [backup-simplify]: Simplify 1/240 into 1/240 4.093 * [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)) 4.094 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 4.094 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 4.094 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 4.094 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.094 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.094 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.094 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.094 * [taylor]: Taking taylor expansion of 1/2 in x 4.094 * [backup-simplify]: Simplify 1/2 into 1/2 4.094 * [taylor]: Taking taylor expansion of x in x 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 1 into 1 4.095 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.095 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.095 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.095 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.095 * [taylor]: Taking taylor expansion of 1/2 in x 4.095 * [backup-simplify]: Simplify 1/2 into 1/2 4.095 * [taylor]: Taking taylor expansion of x in x 4.095 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify 1 into 1 4.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.096 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.096 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.096 * [taylor]: Taking taylor expansion of x in x 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 1 into 1 4.096 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 4.096 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.096 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.096 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.096 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.096 * [taylor]: Taking taylor expansion of 1/2 in x 4.096 * [backup-simplify]: Simplify 1/2 into 1/2 4.096 * [taylor]: Taking taylor expansion of x in x 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 1 into 1 4.097 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.097 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.097 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.097 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.097 * [taylor]: Taking taylor expansion of 1/2 in x 4.097 * [backup-simplify]: Simplify 1/2 into 1/2 4.097 * [taylor]: Taking taylor expansion of x in x 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 1 into 1 4.098 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.098 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.098 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.098 * [taylor]: Taking taylor expansion of x in x 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.098 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 4.099 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.099 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.100 * [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 4.101 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [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 4.102 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.103 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [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 4.107 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [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 4.108 * [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 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [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 4.109 * [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 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [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)) 4.110 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 4.110 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 4.110 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 4.110 * [taylor]: Taking taylor expansion of -1 in x 4.110 * [backup-simplify]: Simplify -1 into -1 4.110 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 4.110 * [taylor]: Taking taylor expansion of x in x 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 1 into 1 4.110 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.110 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.110 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.110 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.110 * [taylor]: Taking taylor expansion of -1/2 in x 4.110 * [backup-simplify]: Simplify -1/2 into -1/2 4.110 * [taylor]: Taking taylor expansion of x in x 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 1 into 1 4.110 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.110 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.110 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.110 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.110 * [taylor]: Taking taylor expansion of -1/2 in x 4.110 * [backup-simplify]: Simplify -1/2 into -1/2 4.110 * [taylor]: Taking taylor expansion of x in x 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.111 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.111 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.111 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 4.111 * [taylor]: Taking taylor expansion of -1 in x 4.111 * [backup-simplify]: Simplify -1 into -1 4.111 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 4.111 * [taylor]: Taking taylor expansion of x in x 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.111 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.111 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.111 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.111 * [taylor]: Taking taylor expansion of -1/2 in x 4.111 * [backup-simplify]: Simplify -1/2 into -1/2 4.111 * [taylor]: Taking taylor expansion of x in x 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.111 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.111 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.111 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.111 * [taylor]: Taking taylor expansion of -1/2 in x 4.111 * [backup-simplify]: Simplify -1/2 into -1/2 4.111 * [taylor]: Taking taylor expansion of x in x 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.112 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.112 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.112 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.112 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 4.112 * [backup-simplify]: Simplify (* -1 0) into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 4.113 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.113 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 4.113 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 4.113 * [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 4.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 4.114 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [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 4.116 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 4.116 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.117 * [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 4.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 4.119 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [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 4.120 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 4.121 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.122 * [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 4.123 * [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 4.124 * [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 4.124 * [backup-simplify]: Simplify 0 into 0 4.125 * [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 4.126 * [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 4.128 * [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 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [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)) 4.128 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.128 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 4.128 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 4.129 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 4.129 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 4.129 * [taylor]: Taking taylor expansion of (sin x) in x 4.129 * [taylor]: Taking taylor expansion of x in x 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify 1 into 1 4.129 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.129 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.129 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.129 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.129 * [taylor]: Taking taylor expansion of 1/2 in x 4.129 * [backup-simplify]: Simplify 1/2 into 1/2 4.129 * [taylor]: Taking taylor expansion of x in x 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify 1 into 1 4.129 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.129 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.129 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.129 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.129 * [taylor]: Taking taylor expansion of 1/2 in x 4.129 * [backup-simplify]: Simplify 1/2 into 1/2 4.130 * [taylor]: Taking taylor expansion of x in x 4.130 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify 1 into 1 4.130 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.131 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.131 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.132 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.132 * [taylor]: Taking taylor expansion of x in x 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.134 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.135 * [backup-simplify]: Simplify (+ 0) into 0 4.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.136 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.137 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 4.137 * [backup-simplify]: Simplify (* 1 1) into 1 4.138 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.138 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 4.138 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 4.138 * [taylor]: Taking taylor expansion of (sin x) in x 4.138 * [taylor]: Taking taylor expansion of x in x 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 1 into 1 4.138 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.138 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.138 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.138 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.138 * [taylor]: Taking taylor expansion of 1/2 in x 4.138 * [backup-simplify]: Simplify 1/2 into 1/2 4.138 * [taylor]: Taking taylor expansion of x in x 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 1 into 1 4.139 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.139 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.139 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.139 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.139 * [taylor]: Taking taylor expansion of 1/2 in x 4.139 * [backup-simplify]: Simplify 1/2 into 1/2 4.139 * [taylor]: Taking taylor expansion of x in x 4.139 * [backup-simplify]: Simplify 0 into 0 4.139 * [backup-simplify]: Simplify 1 into 1 4.140 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.141 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.142 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.142 * [taylor]: Taking taylor expansion of x in x 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.144 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.145 * [backup-simplify]: Simplify (+ 0) into 0 4.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.146 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.147 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 4.148 * [backup-simplify]: Simplify (* 1 1) into 1 4.148 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.148 * [backup-simplify]: Simplify 1/2 into 1/2 4.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.151 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 4.152 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 4.153 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 4.154 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.155 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 4.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.157 * [backup-simplify]: Simplify 0 into 0 4.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.160 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.163 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 4.166 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.168 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 4.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.170 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 4.170 * [backup-simplify]: Simplify -1/24 into -1/24 4.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.175 * [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 4.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.179 * [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 4.181 * [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 4.183 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.185 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 4.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 4.189 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.196 * [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 4.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.200 * [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 4.203 * [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 4.207 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 4.210 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 4.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.214 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 4.214 * [backup-simplify]: Simplify 1/720 into 1/720 4.214 * [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))) 4.215 * [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)))) 4.215 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 4.215 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 4.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.215 * [taylor]: Taking taylor expansion of x in x 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 1 into 1 4.215 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 4.215 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.215 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.215 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.215 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.215 * [taylor]: Taking taylor expansion of 1/2 in x 4.215 * [backup-simplify]: Simplify 1/2 into 1/2 4.215 * [taylor]: Taking taylor expansion of x in x 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 1 into 1 4.216 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.216 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.216 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.216 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.216 * [taylor]: Taking taylor expansion of 1/2 in x 4.216 * [backup-simplify]: Simplify 1/2 into 1/2 4.216 * [taylor]: Taking taylor expansion of x in x 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 1 into 1 4.217 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.217 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.217 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.217 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.217 * [taylor]: Taking taylor expansion of x in x 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 1 into 1 4.218 * [backup-simplify]: Simplify (/ 1 1) into 1 4.218 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.218 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 4.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.218 * [taylor]: Taking taylor expansion of x in x 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify 1 into 1 4.218 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 4.218 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.218 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.218 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.218 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.218 * [taylor]: Taking taylor expansion of 1/2 in x 4.218 * [backup-simplify]: Simplify 1/2 into 1/2 4.218 * [taylor]: Taking taylor expansion of x in x 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify 1 into 1 4.219 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.219 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.219 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.219 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.219 * [taylor]: Taking taylor expansion of 1/2 in x 4.219 * [backup-simplify]: Simplify 1/2 into 1/2 4.219 * [taylor]: Taking taylor expansion of x in x 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.219 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.219 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.220 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.220 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.220 * [taylor]: Taking taylor expansion of x in x 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.220 * [backup-simplify]: Simplify (/ 1 1) into 1 4.220 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.221 * [backup-simplify]: Simplify (* 1 1) into 1 4.221 * [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))) 4.221 * [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))) 4.221 * [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))) 4.222 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 4.222 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 4.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 4.223 * [backup-simplify]: Simplify 0 into 0 4.223 * [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 4.223 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 4.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 4.224 * [backup-simplify]: Simplify 0 into 0 4.225 * [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 4.225 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 4.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [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 4.228 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 4.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.230 * [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 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [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 4.231 * [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 4.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.235 * [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 4.235 * [backup-simplify]: Simplify 0 into 0 4.236 * [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 4.237 * [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 4.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.239 * [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 4.239 * [backup-simplify]: Simplify 0 into 0 4.240 * [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))) 4.240 * [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)))) 4.240 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 4.240 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 4.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.240 * [taylor]: Taking taylor expansion of x in x 4.240 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify 1 into 1 4.240 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 4.240 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.240 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.240 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.240 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.240 * [taylor]: Taking taylor expansion of -1/2 in x 4.240 * [backup-simplify]: Simplify -1/2 into -1/2 4.240 * [taylor]: Taking taylor expansion of x in x 4.240 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify 1 into 1 4.240 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.240 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.241 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.241 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.241 * [taylor]: Taking taylor expansion of -1/2 in x 4.241 * [backup-simplify]: Simplify -1/2 into -1/2 4.241 * [taylor]: Taking taylor expansion of x in x 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 1 into 1 4.241 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.241 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.241 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.241 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.241 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.241 * [taylor]: Taking taylor expansion of -1 in x 4.241 * [backup-simplify]: Simplify -1 into -1 4.241 * [taylor]: Taking taylor expansion of x in x 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 1 into 1 4.241 * [backup-simplify]: Simplify (/ -1 1) into -1 4.241 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.242 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 4.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.242 * [taylor]: Taking taylor expansion of x in x 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 1 into 1 4.242 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 4.242 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.242 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.242 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.242 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.242 * [taylor]: Taking taylor expansion of -1/2 in x 4.242 * [backup-simplify]: Simplify -1/2 into -1/2 4.242 * [taylor]: Taking taylor expansion of x in x 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 1 into 1 4.242 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.242 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.242 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.242 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.242 * [taylor]: Taking taylor expansion of -1/2 in x 4.242 * [backup-simplify]: Simplify -1/2 into -1/2 4.242 * [taylor]: Taking taylor expansion of x in x 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 1 into 1 4.243 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.243 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.243 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.243 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.243 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.243 * [taylor]: Taking taylor expansion of -1 in x 4.243 * [backup-simplify]: Simplify -1 into -1 4.243 * [taylor]: Taking taylor expansion of x in x 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 1 into 1 4.243 * [backup-simplify]: Simplify (/ -1 1) into -1 4.243 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.243 * [backup-simplify]: Simplify (* 1 1) into 1 4.244 * [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))) 4.244 * [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))) 4.244 * [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))) 4.244 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 4.244 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 4.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [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 4.246 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 4.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.248 * [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 4.248 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 4.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 4.250 * [backup-simplify]: Simplify 0 into 0 4.250 * [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 4.251 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 4.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.253 * [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 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [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 4.254 * [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 4.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.256 * [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 4.256 * [backup-simplify]: Simplify 0 into 0 4.257 * [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 4.258 * [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 4.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.260 * [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 4.260 * [backup-simplify]: Simplify 0 into 0 4.261 * [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))) 4.261 * * * [progress]: simplifying candidates 4.261 * * * * [progress]: [ 1 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 2 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 3 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 4 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 5 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 6 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 7 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 8 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 9 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 10 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 11 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 12 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 13 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 14 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 15 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 16 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 17 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 18 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 19 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 20 / 123 ] simplifiying candidate # 4.261 * * * * [progress]: [ 21 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 22 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 23 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 24 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 25 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 26 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 27 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 28 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 29 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 30 / 123 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))> 4.262 * * * * [progress]: [ 31 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 32 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 33 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 34 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 35 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 36 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 37 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 38 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 39 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 40 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 41 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 42 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 43 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 44 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 45 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 46 / 123 ] simplifiying candidate # 4.262 * * * * [progress]: [ 47 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 48 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 49 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 50 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 51 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 52 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 53 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 54 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 55 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 56 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 57 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 58 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 59 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 60 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 61 / 123 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))))> 4.263 * * * * [progress]: [ 62 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 63 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 64 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 65 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 66 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 67 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 68 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 69 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 70 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 71 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 72 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 73 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 74 / 123 ] simplifiying candidate # 4.263 * * * * [progress]: [ 75 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 76 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 77 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 78 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 79 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 80 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 81 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 82 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 83 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 84 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 85 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 86 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 87 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 88 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 89 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 90 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 91 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 92 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 93 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 94 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 95 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 96 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 97 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 98 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 99 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 100 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 101 / 123 ] simplifiying candidate # 4.264 * * * * [progress]: [ 102 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 103 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 104 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 105 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 106 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 107 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 108 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 109 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 110 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 111 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 112 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 113 / 123 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))> 4.265 * * * * [progress]: [ 114 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 115 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 116 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 117 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 118 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 119 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 120 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 121 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 122 / 123 ] simplifiying candidate # 4.265 * * * * [progress]: [ 123 / 123 ] simplifiying candidate # 4.267 * [simplify]: Simplifying: (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (- (log (sin x)) (log x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) (/ 1 1) (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (/ (sin x) 1) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (- (log (tan (/ x 2))) (log x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (/ (cbrt (tan (/ x 2))) (sqrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1) (/ (cbrt (tan (/ x 2))) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) 1) (/ (sqrt (tan (/ x 2))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) (/ 1 1) (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (sqrt x)) (/ (tan (/ x 2)) 1) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* x (cos (/ x 2))) (real->posit16 (/ (tan (/ x 2)) x)) (expm1 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log1p (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (+ (- (log (sin x)) (log x)) (- (log (tan (/ x 2))) (log x))) (+ (- (log (sin x)) (log x)) (log (/ (tan (/ x 2)) x))) (+ (log (/ (sin x) x)) (- (log (tan (/ x 2))) (log x))) (+ (log (/ (sin x) x)) (log (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (sin x) (tan (/ x 2))) (* x x) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))) (* (/ (sin x) x) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) 1)) (* (/ (sin x) x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ 1 (sqrt x))) (* (/ (sin x) x) (/ 1 1)) (* (/ (sin x) x) 1) (* (/ (sin x) x) (tan (/ x 2))) (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ 1 x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (tan (/ x 2))) (* (sin x) (/ (tan (/ x 2)) x)) (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) x) (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 4.270 * * [simplify]: iteration 1: (172 enodes) 4.358 * * [simplify]: iteration 2: (754 enodes) 4.582 * * [simplify]: iteration 3: (1841 enodes) 5.757 * * [simplify]: Extracting #0: cost 107 inf + 0 5.758 * * [simplify]: Extracting #1: cost 630 inf + 1 5.763 * * [simplify]: Extracting #2: cost 1065 inf + 1949 5.779 * * [simplify]: Extracting #3: cost 847 inf + 54449 5.849 * * [simplify]: Extracting #4: cost 269 inf + 240523 5.961 * * [simplify]: Extracting #5: cost 14 inf + 327508 6.077 * * [simplify]: Extracting #6: cost 0 inf + 331784 6.208 * [simplify]: Simplified to: (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (log (/ (sin x) x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (* (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (* (cbrt (sin x)) (/ (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)) (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (* (cbrt (tan (/ x 2))) (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)) (expm1 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log1p (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (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 (/ (tan (/ x 2)) x)) (sqrt (/ (sin x) x))) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (sin x) x))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (/ (sin x) x))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (/ (sin x) x))) (/ (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (sin x))) (sqrt x)) (/ (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (sin x))) (sqrt x)) (/ (* (sqrt (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)) (* (cbrt (/ (tan (/ x 2)) x)) (/ (sin x) x))) (/ (sin x) (/ x (sqrt (/ (tan (/ x 2)) x)))) (* (* (/ (sin x) x) (/ (cbrt (tan (/ x 2))) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x))) (* (/ (* (cbrt (tan (/ x 2))) (/ (sin x) x)) (sqrt x)) (cbrt (tan (/ x 2)))) (* (* (cbrt (tan (/ x 2))) (/ (sin x) x)) (cbrt (tan (/ x 2)))) (/ (/ (/ (sin x) x) (/ (cbrt x) (sqrt (tan (/ x 2))))) (cbrt x)) (/ (* (sqrt (tan (/ x 2))) (sin x)) (* (sqrt x) x)) (/ (sqrt (tan (/ x 2))) (/ x (sin x))) (/ (/ (sin x) (cbrt x)) (* x (cbrt x))) (/ (sin x) (* x (sqrt x))) (/ (sin x) x) (/ (sin x) x) (* (/ (sin x) x) (tan (/ x 2))) (* (/ (cbrt (/ (sin x) x)) x) (tan (/ x 2))) (* (/ (tan (/ x 2)) x) (sqrt (/ (sin x) x))) (/ (cbrt (sin x)) (* (/ (cbrt x) (tan (/ x 2))) x)) (/ (* (/ (tan (/ x 2)) x) (cbrt (sin x))) (sqrt x)) (* (/ (/ (cbrt (sin x)) x) x) (tan (/ x 2))) (/ (* (tan (/ x 2)) (/ (sqrt (sin x)) (cbrt x))) 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)) (* (/ (tan (/ x 2)) x) (/ (sin x) (sqrt x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) (* x x)) (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))) (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (fma -1/6 (* x x) (fma (* (* x x) (* x x)) 1/120 1)) (/ (sin x) x) (/ (sin x) x) (fma (* x x) 1/24 (fma 1/240 (* (* x x) (* x x)) 1/2)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (fma -1/24 (* x x) (fma 1/720 (* (* x x) (* x x)) 1/2)) (/ (/ (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) x) x) (/ (/ (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) x) x) 6.221 * * * [progress]: adding candidates to table 7.197 * * [progress]: iteration 4 / 4 7.198 * * * [progress]: picking best candidate 7.215 * * * * [pick]: Picked # 7.215 * * * [progress]: localizing error 7.258 * * * [progress]: generating rewritten candidates 7.258 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.276 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.283 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 7.301 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 7.343 * * * [progress]: generating series expansions 7.343 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.344 * [backup-simplify]: Simplify (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 7.344 * [approximate]: Taking taylor expansion of (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) in (x) around 0 7.344 * [taylor]: Taking taylor expansion of (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) in x 7.344 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.344 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.344 * [taylor]: Taking taylor expansion of 1/2 in x 7.344 * [backup-simplify]: Simplify 1/2 into 1/2 7.344 * [taylor]: Taking taylor expansion of x in x 7.344 * [backup-simplify]: Simplify 0 into 0 7.344 * [backup-simplify]: Simplify 1 into 1 7.344 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.345 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.345 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 x)) x) in x 7.345 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.345 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.345 * [taylor]: Taking taylor expansion of 1/2 in x 7.345 * [backup-simplify]: Simplify 1/2 into 1/2 7.345 * [taylor]: Taking taylor expansion of x in x 7.345 * [backup-simplify]: Simplify 0 into 0 7.345 * [backup-simplify]: Simplify 1 into 1 7.345 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.346 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.346 * [taylor]: Taking taylor expansion of x in x 7.346 * [backup-simplify]: Simplify 0 into 0 7.346 * [backup-simplify]: Simplify 1 into 1 7.347 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.347 * [backup-simplify]: Simplify (* 1 0) into 0 7.347 * [backup-simplify]: Simplify (+ 0) into 0 7.348 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 7.348 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.348 * [taylor]: Taking taylor expansion of (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) in x 7.348 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.348 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.348 * [taylor]: Taking taylor expansion of 1/2 in x 7.348 * [backup-simplify]: Simplify 1/2 into 1/2 7.348 * [taylor]: Taking taylor expansion of x in x 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify 1 into 1 7.348 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.349 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.349 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 x)) x) in x 7.349 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.349 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.349 * [taylor]: Taking taylor expansion of 1/2 in x 7.349 * [backup-simplify]: Simplify 1/2 into 1/2 7.349 * [taylor]: Taking taylor expansion of x in x 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify 1 into 1 7.351 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.352 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.352 * [taylor]: Taking taylor expansion of x in x 7.352 * [backup-simplify]: Simplify 0 into 0 7.352 * [backup-simplify]: Simplify 1 into 1 7.352 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.353 * [backup-simplify]: Simplify (* 1 0) into 0 7.353 * [backup-simplify]: Simplify (+ 0) into 0 7.353 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 7.354 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.354 * [backup-simplify]: Simplify 1/2 into 1/2 7.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.355 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.355 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 7.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* -1/8 0))) into 0 7.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.357 * [backup-simplify]: Simplify 0 into 0 7.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.358 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 7.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.360 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 1) (* 0 0)))) into -1/8 7.361 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 7.361 * [backup-simplify]: Simplify 1/24 into 1/24 7.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.363 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.365 * [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 7.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 1) (* 1/384 0))))) into 0 7.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 7.367 * [backup-simplify]: Simplify 0 into 0 7.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.370 * [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 7.371 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.372 * [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 7.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (+ (* 1/384 1) (* 0 0)))))) into 1/384 7.374 * [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 7.375 * [backup-simplify]: Simplify 1/240 into 1/240 7.375 * [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)) 7.375 * [backup-simplify]: Simplify (/ (sin (* 1/2 (/ 1 x))) (* (cos (* 1/2 (/ 1 x))) (/ 1 x))) into (/ (* x (sin (/ 1/2 x))) (cos (/ 1/2 x))) 7.375 * [approximate]: Taking taylor expansion of (/ (* x (sin (/ 1/2 x))) (cos (/ 1/2 x))) in (x) around 0 7.375 * [taylor]: Taking taylor expansion of (/ (* x (sin (/ 1/2 x))) (cos (/ 1/2 x))) in x 7.375 * [taylor]: Taking taylor expansion of (* x (sin (/ 1/2 x))) in x 7.375 * [taylor]: Taking taylor expansion of x in x 7.375 * [backup-simplify]: Simplify 0 into 0 7.375 * [backup-simplify]: Simplify 1 into 1 7.375 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.375 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.375 * [taylor]: Taking taylor expansion of 1/2 in x 7.375 * [backup-simplify]: Simplify 1/2 into 1/2 7.375 * [taylor]: Taking taylor expansion of x in x 7.375 * [backup-simplify]: Simplify 0 into 0 7.375 * [backup-simplify]: Simplify 1 into 1 7.375 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.376 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.376 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.376 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.376 * [taylor]: Taking taylor expansion of 1/2 in x 7.376 * [backup-simplify]: Simplify 1/2 into 1/2 7.376 * [taylor]: Taking taylor expansion of x in x 7.376 * [backup-simplify]: Simplify 0 into 0 7.376 * [backup-simplify]: Simplify 1 into 1 7.376 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.376 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.376 * [backup-simplify]: Simplify (* 0 (sin (/ 1/2 x))) into 0 7.376 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1/2 x)))) into (sin (/ 1/2 x)) 7.376 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.376 * [taylor]: Taking taylor expansion of (/ (* x (sin (/ 1/2 x))) (cos (/ 1/2 x))) in x 7.376 * [taylor]: Taking taylor expansion of (* x (sin (/ 1/2 x))) in x 7.376 * [taylor]: Taking taylor expansion of x in x 7.376 * [backup-simplify]: Simplify 0 into 0 7.377 * [backup-simplify]: Simplify 1 into 1 7.377 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.377 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.377 * [taylor]: Taking taylor expansion of 1/2 in x 7.377 * [backup-simplify]: Simplify 1/2 into 1/2 7.377 * [taylor]: Taking taylor expansion of x in x 7.377 * [backup-simplify]: Simplify 0 into 0 7.377 * [backup-simplify]: Simplify 1 into 1 7.377 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.377 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.377 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.377 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.377 * [taylor]: Taking taylor expansion of 1/2 in x 7.377 * [backup-simplify]: Simplify 1/2 into 1/2 7.377 * [taylor]: Taking taylor expansion of x in x 7.377 * [backup-simplify]: Simplify 0 into 0 7.377 * [backup-simplify]: Simplify 1 into 1 7.377 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.377 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.377 * [backup-simplify]: Simplify (* 0 (sin (/ 1/2 x))) into 0 7.378 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1/2 x)))) into (sin (/ 1/2 x)) 7.378 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.378 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1/2 x))))) into 0 7.379 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 7.379 * [backup-simplify]: Simplify 0 into 0 7.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x)))))) into 0 7.380 * [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)))))) into 0 7.380 * [backup-simplify]: Simplify 0 into 0 7.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x))))))) into 0 7.382 * [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)))))) into 0 7.382 * [backup-simplify]: Simplify 0 into 0 7.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x)))))))) into 0 7.383 * [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 7.383 * [backup-simplify]: Simplify 0 into 0 7.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x))))))))) into 0 7.385 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.385 * [backup-simplify]: Simplify 0 into 0 7.387 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x)))))))))) into 0 7.387 * [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)))) (* 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 7.387 * [backup-simplify]: Simplify 0 into 0 7.387 * [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)) 7.387 * [backup-simplify]: Simplify (/ (sin (* 1/2 (/ 1 (- x)))) (* (cos (* 1/2 (/ 1 (- x)))) (/ 1 (- x)))) into (* -1 (/ (* x (sin (/ -1/2 x))) (cos (/ -1/2 x)))) 7.387 * [approximate]: Taking taylor expansion of (* -1 (/ (* x (sin (/ -1/2 x))) (cos (/ -1/2 x)))) in (x) around 0 7.388 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (sin (/ -1/2 x))) (cos (/ -1/2 x)))) in x 7.388 * [taylor]: Taking taylor expansion of -1 in x 7.388 * [backup-simplify]: Simplify -1 into -1 7.388 * [taylor]: Taking taylor expansion of (/ (* x (sin (/ -1/2 x))) (cos (/ -1/2 x))) in x 7.388 * [taylor]: Taking taylor expansion of (* x (sin (/ -1/2 x))) in x 7.388 * [taylor]: Taking taylor expansion of x in x 7.388 * [backup-simplify]: Simplify 0 into 0 7.388 * [backup-simplify]: Simplify 1 into 1 7.388 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.388 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.388 * [taylor]: Taking taylor expansion of -1/2 in x 7.388 * [backup-simplify]: Simplify -1/2 into -1/2 7.388 * [taylor]: Taking taylor expansion of x in x 7.388 * [backup-simplify]: Simplify 0 into 0 7.388 * [backup-simplify]: Simplify 1 into 1 7.388 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.388 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.388 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.388 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.388 * [taylor]: Taking taylor expansion of -1/2 in x 7.388 * [backup-simplify]: Simplify -1/2 into -1/2 7.388 * [taylor]: Taking taylor expansion of x in x 7.388 * [backup-simplify]: Simplify 0 into 0 7.388 * [backup-simplify]: Simplify 1 into 1 7.388 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.389 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.389 * [backup-simplify]: Simplify (* 0 (sin (/ -1/2 x))) into 0 7.389 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1/2 x)))) into (sin (/ -1/2 x)) 7.389 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.389 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (sin (/ -1/2 x))) (cos (/ -1/2 x)))) in x 7.389 * [taylor]: Taking taylor expansion of -1 in x 7.389 * [backup-simplify]: Simplify -1 into -1 7.389 * [taylor]: Taking taylor expansion of (/ (* x (sin (/ -1/2 x))) (cos (/ -1/2 x))) in x 7.389 * [taylor]: Taking taylor expansion of (* x (sin (/ -1/2 x))) in x 7.389 * [taylor]: Taking taylor expansion of x in x 7.389 * [backup-simplify]: Simplify 0 into 0 7.389 * [backup-simplify]: Simplify 1 into 1 7.389 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.389 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.389 * [taylor]: Taking taylor expansion of -1/2 in x 7.389 * [backup-simplify]: Simplify -1/2 into -1/2 7.389 * [taylor]: Taking taylor expansion of x in x 7.389 * [backup-simplify]: Simplify 0 into 0 7.389 * [backup-simplify]: Simplify 1 into 1 7.389 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.390 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.390 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.390 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.390 * [taylor]: Taking taylor expansion of -1/2 in x 7.390 * [backup-simplify]: Simplify -1/2 into -1/2 7.390 * [taylor]: Taking taylor expansion of x in x 7.390 * [backup-simplify]: Simplify 0 into 0 7.390 * [backup-simplify]: Simplify 1 into 1 7.390 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.390 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.390 * [backup-simplify]: Simplify (* 0 (sin (/ -1/2 x))) into 0 7.390 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1/2 x)))) into (sin (/ -1/2 x)) 7.390 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.391 * [backup-simplify]: Simplify (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 7.391 * [backup-simplify]: Simplify (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 7.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1/2 x))))) into 0 7.391 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 7.392 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0 7.392 * [backup-simplify]: Simplify 0 into 0 7.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x)))))) into 0 7.393 * [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 7.393 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 7.393 * [backup-simplify]: Simplify 0 into 0 7.394 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x))))))) into 0 7.394 * [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)))))) into 0 7.395 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 7.395 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x)))))))) into 0 7.397 * [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 7.398 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 7.398 * [backup-simplify]: Simplify 0 into 0 7.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x))))))))) into 0 7.400 * [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 7.401 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 7.401 * [backup-simplify]: Simplify 0 into 0 7.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x)))))))))) into 0 7.403 * [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 7.405 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 7.405 * [backup-simplify]: Simplify 0 into 0 7.405 * [backup-simplify]: Simplify (* (* -1 (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 7.405 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 7.405 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 7.405 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 7.405 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 7.405 * [taylor]: Taking taylor expansion of (sin x) in x 7.405 * [taylor]: Taking taylor expansion of x in x 7.405 * [backup-simplify]: Simplify 0 into 0 7.405 * [backup-simplify]: Simplify 1 into 1 7.405 * [taylor]: Taking taylor expansion of x in x 7.405 * [backup-simplify]: Simplify 0 into 0 7.405 * [backup-simplify]: Simplify 1 into 1 7.405 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.406 * [backup-simplify]: Simplify (/ 1 1) into 1 7.406 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 7.406 * [taylor]: Taking taylor expansion of (sin x) in x 7.406 * [taylor]: Taking taylor expansion of x in x 7.406 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify 1 into 1 7.406 * [taylor]: Taking taylor expansion of x in x 7.406 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify 1 into 1 7.406 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.406 * [backup-simplify]: Simplify (/ 1 1) into 1 7.407 * [backup-simplify]: Simplify 1 into 1 7.407 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 7.407 * [backup-simplify]: Simplify 0 into 0 7.409 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.409 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 7.409 * [backup-simplify]: Simplify -1/6 into -1/6 7.410 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 7.411 * [backup-simplify]: Simplify 0 into 0 7.413 * [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 7.414 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 7.414 * [backup-simplify]: Simplify 1/120 into 1/120 7.414 * [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))) 7.414 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 7.414 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 7.414 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 7.414 * [taylor]: Taking taylor expansion of x in x 7.414 * [backup-simplify]: Simplify 0 into 0 7.414 * [backup-simplify]: Simplify 1 into 1 7.414 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.414 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.414 * [taylor]: Taking taylor expansion of x in x 7.414 * [backup-simplify]: Simplify 0 into 0 7.414 * [backup-simplify]: Simplify 1 into 1 7.415 * [backup-simplify]: Simplify (/ 1 1) into 1 7.415 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.415 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 7.415 * [taylor]: Taking taylor expansion of x in x 7.415 * [backup-simplify]: Simplify 0 into 0 7.415 * [backup-simplify]: Simplify 1 into 1 7.415 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.415 * [taylor]: Taking taylor expansion of x in x 7.415 * [backup-simplify]: Simplify 0 into 0 7.415 * [backup-simplify]: Simplify 1 into 1 7.415 * [backup-simplify]: Simplify (/ 1 1) into 1 7.415 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.415 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 7.415 * [backup-simplify]: Simplify 0 into 0 7.415 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 7.415 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.416 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 7.416 * [backup-simplify]: Simplify 0 into 0 7.417 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 7.417 * [backup-simplify]: Simplify 0 into 0 7.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 7.418 * [backup-simplify]: Simplify 0 into 0 7.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 7.419 * [backup-simplify]: Simplify 0 into 0 7.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 7.420 * [backup-simplify]: Simplify 0 into 0 7.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 7.422 * [backup-simplify]: Simplify 0 into 0 7.422 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 7.422 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 7.422 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 7.422 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 7.422 * [taylor]: Taking taylor expansion of -1 in x 7.422 * [backup-simplify]: Simplify -1 into -1 7.422 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 7.422 * [taylor]: Taking taylor expansion of x in x 7.422 * [backup-simplify]: Simplify 0 into 0 7.422 * [backup-simplify]: Simplify 1 into 1 7.422 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.422 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.422 * [taylor]: Taking taylor expansion of -1 in x 7.422 * [backup-simplify]: Simplify -1 into -1 7.422 * [taylor]: Taking taylor expansion of x in x 7.422 * [backup-simplify]: Simplify 0 into 0 7.422 * [backup-simplify]: Simplify 1 into 1 7.423 * [backup-simplify]: Simplify (/ -1 1) into -1 7.423 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.423 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 7.423 * [taylor]: Taking taylor expansion of -1 in x 7.423 * [backup-simplify]: Simplify -1 into -1 7.423 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 7.423 * [taylor]: Taking taylor expansion of x in x 7.423 * [backup-simplify]: Simplify 0 into 0 7.423 * [backup-simplify]: Simplify 1 into 1 7.423 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.423 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.423 * [taylor]: Taking taylor expansion of -1 in x 7.423 * [backup-simplify]: Simplify -1 into -1 7.423 * [taylor]: Taking taylor expansion of x in x 7.423 * [backup-simplify]: Simplify 0 into 0 7.423 * [backup-simplify]: Simplify 1 into 1 7.423 * [backup-simplify]: Simplify (/ -1 1) into -1 7.423 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.423 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 7.424 * [backup-simplify]: Simplify (* -1 0) into 0 7.424 * [backup-simplify]: Simplify 0 into 0 7.424 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 7.424 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 7.424 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 7.425 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 7.425 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 7.425 * [backup-simplify]: Simplify 0 into 0 7.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 7.428 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 7.428 * [backup-simplify]: Simplify 0 into 0 7.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 7.431 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 7.431 * [backup-simplify]: Simplify 0 into 0 7.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 7.435 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 7.435 * [backup-simplify]: Simplify 0 into 0 7.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 7.439 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 7.440 * [backup-simplify]: Simplify 0 into 0 7.444 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 7.447 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 7.447 * [backup-simplify]: Simplify 0 into 0 7.447 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 7.447 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 7.447 * [backup-simplify]: Simplify (* (cos (* 1/2 x)) x) into (* (cos (* 1/2 x)) x) 7.447 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 x)) x) in (x) around 0 7.447 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 x)) x) in x 7.447 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.447 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.447 * [taylor]: Taking taylor expansion of 1/2 in x 7.447 * [backup-simplify]: Simplify 1/2 into 1/2 7.448 * [taylor]: Taking taylor expansion of x in x 7.448 * [backup-simplify]: Simplify 0 into 0 7.448 * [backup-simplify]: Simplify 1 into 1 7.448 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.449 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.449 * [taylor]: Taking taylor expansion of x in x 7.449 * [backup-simplify]: Simplify 0 into 0 7.449 * [backup-simplify]: Simplify 1 into 1 7.449 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 x)) x) in x 7.449 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.449 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.449 * [taylor]: Taking taylor expansion of 1/2 in x 7.449 * [backup-simplify]: Simplify 1/2 into 1/2 7.449 * [taylor]: Taking taylor expansion of x in x 7.449 * [backup-simplify]: Simplify 0 into 0 7.449 * [backup-simplify]: Simplify 1 into 1 7.450 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.450 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.450 * [taylor]: Taking taylor expansion of x in x 7.450 * [backup-simplify]: Simplify 0 into 0 7.450 * [backup-simplify]: Simplify 1 into 1 7.450 * [backup-simplify]: Simplify (* 1 0) into 0 7.450 * [backup-simplify]: Simplify 0 into 0 7.451 * [backup-simplify]: Simplify (+ 0) into 0 7.451 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 7.451 * [backup-simplify]: Simplify 1 into 1 7.452 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 7.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* -1/8 0))) into 0 7.452 * [backup-simplify]: Simplify 0 into 0 7.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.453 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 1) (* 0 0)))) into -1/8 7.454 * [backup-simplify]: Simplify -1/8 into -1/8 7.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.456 * [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 7.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 1) (* 1/384 0))))) into 0 7.458 * [backup-simplify]: Simplify 0 into 0 7.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.460 * [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 7.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (+ (* 1/384 1) (* 0 0)))))) into 1/384 7.461 * [backup-simplify]: Simplify 1/384 into 1/384 7.461 * [backup-simplify]: Simplify (+ (* 1/384 (pow x 5)) (+ (* -1/8 (pow x 3)) (* 1 x))) into (- (+ x (* 1/384 (pow x 5))) (* 1/8 (pow x 3))) 7.461 * [backup-simplify]: Simplify (* (cos (* 1/2 (/ 1 x))) (/ 1 x)) into (/ (cos (/ 1/2 x)) x) 7.461 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 x)) x) in (x) around 0 7.461 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 x)) x) in x 7.461 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.461 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.461 * [taylor]: Taking taylor expansion of 1/2 in x 7.461 * [backup-simplify]: Simplify 1/2 into 1/2 7.461 * [taylor]: Taking taylor expansion of x in x 7.461 * [backup-simplify]: Simplify 0 into 0 7.461 * [backup-simplify]: Simplify 1 into 1 7.461 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.461 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.461 * [taylor]: Taking taylor expansion of x in x 7.461 * [backup-simplify]: Simplify 0 into 0 7.461 * [backup-simplify]: Simplify 1 into 1 7.462 * [backup-simplify]: Simplify (/ (cos (/ 1/2 x)) 1) into (cos (/ 1/2 x)) 7.462 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 x)) x) in x 7.462 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.462 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.462 * [taylor]: Taking taylor expansion of 1/2 in x 7.462 * [backup-simplify]: Simplify 1/2 into 1/2 7.462 * [taylor]: Taking taylor expansion of x in x 7.462 * [backup-simplify]: Simplify 0 into 0 7.462 * [backup-simplify]: Simplify 1 into 1 7.462 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.462 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.462 * [taylor]: Taking taylor expansion of x in x 7.462 * [backup-simplify]: Simplify 0 into 0 7.462 * [backup-simplify]: Simplify 1 into 1 7.462 * [backup-simplify]: Simplify (/ (cos (/ 1/2 x)) 1) into (cos (/ 1/2 x)) 7.462 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 x)) (/ 0 1)))) into 0 7.463 * [backup-simplify]: Simplify 0 into 0 7.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.464 * [backup-simplify]: Simplify 0 into 0 7.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.465 * [backup-simplify]: Simplify 0 into 0 7.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.466 * [backup-simplify]: Simplify 0 into 0 7.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.468 * [backup-simplify]: Simplify 0 into 0 7.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.470 * [backup-simplify]: Simplify 0 into 0 7.470 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 x))) (/ 1 (/ 1 x))) into (* (cos (* 1/2 x)) x) 7.470 * [backup-simplify]: Simplify (* (cos (* 1/2 (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (/ (cos (/ -1/2 x)) x)) 7.470 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 x)) x)) in (x) around 0 7.470 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 x)) x)) in x 7.470 * [taylor]: Taking taylor expansion of -1 in x 7.470 * [backup-simplify]: Simplify -1 into -1 7.470 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 x)) x) in x 7.470 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.470 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.470 * [taylor]: Taking taylor expansion of -1/2 in x 7.470 * [backup-simplify]: Simplify -1/2 into -1/2 7.470 * [taylor]: Taking taylor expansion of x in x 7.470 * [backup-simplify]: Simplify 0 into 0 7.470 * [backup-simplify]: Simplify 1 into 1 7.471 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.471 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.471 * [taylor]: Taking taylor expansion of x in x 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 1 into 1 7.471 * [backup-simplify]: Simplify (/ (cos (/ -1/2 x)) 1) into (cos (/ -1/2 x)) 7.471 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 x)) x)) in x 7.471 * [taylor]: Taking taylor expansion of -1 in x 7.471 * [backup-simplify]: Simplify -1 into -1 7.471 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 x)) x) in x 7.471 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.471 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.471 * [taylor]: Taking taylor expansion of -1/2 in x 7.471 * [backup-simplify]: Simplify -1/2 into -1/2 7.471 * [taylor]: Taking taylor expansion of x in x 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 1 into 1 7.471 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.471 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.471 * [taylor]: Taking taylor expansion of x in x 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 1 into 1 7.471 * [backup-simplify]: Simplify (/ (cos (/ -1/2 x)) 1) into (cos (/ -1/2 x)) 7.472 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 x))) into (* -1 (cos (/ -1/2 x))) 7.472 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 x))) into (* -1 (cos (/ -1/2 x))) 7.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 x)) (/ 0 1)))) into 0 7.472 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 x)))) into 0 7.473 * [backup-simplify]: Simplify 0 into 0 7.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.474 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 x))))) into 0 7.474 * [backup-simplify]: Simplify 0 into 0 7.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.476 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 x)))))) into 0 7.476 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.478 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 x))))))) into 0 7.478 * [backup-simplify]: Simplify 0 into 0 7.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.481 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 x)))))))) into 0 7.481 * [backup-simplify]: Simplify 0 into 0 7.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.485 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 x))))))))) into 0 7.485 * [backup-simplify]: Simplify 0 into 0 7.485 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- x))))) (/ 1 (/ 1 (- x)))) into (* (cos (* 1/2 x)) x) 7.485 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.485 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) into (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) 7.485 * [approximate]: Taking taylor expansion of (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) in (x) around 0 7.485 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) in x 7.485 * [taylor]: Taking taylor expansion of (* (sin x) (sin (* 1/2 x))) in x 7.485 * [taylor]: Taking taylor expansion of (sin x) in x 7.485 * [taylor]: Taking taylor expansion of x in x 7.485 * [backup-simplify]: Simplify 0 into 0 7.485 * [backup-simplify]: Simplify 1 into 1 7.485 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.485 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.485 * [taylor]: Taking taylor expansion of 1/2 in x 7.485 * [backup-simplify]: Simplify 1/2 into 1/2 7.485 * [taylor]: Taking taylor expansion of x in x 7.485 * [backup-simplify]: Simplify 0 into 0 7.485 * [backup-simplify]: Simplify 1 into 1 7.485 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.486 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.486 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (* 1/2 x))) in x 7.486 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.486 * [taylor]: Taking taylor expansion of x in x 7.486 * [backup-simplify]: Simplify 0 into 0 7.486 * [backup-simplify]: Simplify 1 into 1 7.486 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.486 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.486 * [taylor]: Taking taylor expansion of 1/2 in x 7.486 * [backup-simplify]: Simplify 1/2 into 1/2 7.486 * [taylor]: Taking taylor expansion of x in x 7.486 * [backup-simplify]: Simplify 0 into 0 7.486 * [backup-simplify]: Simplify 1 into 1 7.487 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.487 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.488 * [backup-simplify]: Simplify (* 0 0) into 0 7.489 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.489 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.490 * [backup-simplify]: Simplify (+ (* 0 1/2) (* 1 0)) into 0 7.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.492 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.493 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/2) (* 0 0))) into 1/2 7.494 * [backup-simplify]: Simplify (* 1 1) into 1 7.494 * [backup-simplify]: Simplify (* 1 1) into 1 7.495 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.495 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) in x 7.495 * [taylor]: Taking taylor expansion of (* (sin x) (sin (* 1/2 x))) in x 7.495 * [taylor]: Taking taylor expansion of (sin x) in x 7.495 * [taylor]: Taking taylor expansion of x in x 7.495 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify 1 into 1 7.495 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.495 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.495 * [taylor]: Taking taylor expansion of 1/2 in x 7.495 * [backup-simplify]: Simplify 1/2 into 1/2 7.495 * [taylor]: Taking taylor expansion of x in x 7.495 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify 1 into 1 7.495 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.496 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.496 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (* 1/2 x))) in x 7.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.496 * [taylor]: Taking taylor expansion of x in x 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify 1 into 1 7.496 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.496 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.496 * [taylor]: Taking taylor expansion of 1/2 in x 7.496 * [backup-simplify]: Simplify 1/2 into 1/2 7.496 * [taylor]: Taking taylor expansion of x in x 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify 1 into 1 7.497 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.497 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.498 * [backup-simplify]: Simplify (* 0 0) into 0 7.498 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.499 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.500 * [backup-simplify]: Simplify (+ (* 0 1/2) (* 1 0)) into 0 7.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.502 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.502 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/2) (* 0 0))) into 1/2 7.503 * [backup-simplify]: Simplify (* 1 1) into 1 7.504 * [backup-simplify]: Simplify (* 1 1) into 1 7.504 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.504 * [backup-simplify]: Simplify 1/2 into 1/2 7.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.507 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 7.509 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.511 * [backup-simplify]: Simplify (+ (* 0 -1/48) (+ (* 1 0) (+ (* 0 1/2) (* -1/6 0)))) into 0 7.511 * [backup-simplify]: Simplify (+ 0) into 0 7.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.513 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.516 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.518 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 -1/48) (+ (* 0 0) (+ (* -1/6 1/2) (* 0 0))))) into -5/48 7.520 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 7.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.522 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* 0 1))) into -1/8 7.524 * [backup-simplify]: Simplify (- (/ -5/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into -1/24 7.524 * [backup-simplify]: Simplify -1/24 into -1/24 7.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.529 * [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 7.533 * [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 7.536 * [backup-simplify]: Simplify (+ (* 0 1/3840) (+ (* 1 0) (+ (* 0 -1/48) (+ (* -1/6 0) (+ (* 0 1/2) (* 1/120 0)))))) into 0 7.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.538 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 1)))) into 0 7.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/24 (/ 0 1)))) into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.550 * [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 7.554 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 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 7.557 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/3840) (+ (* 0 0) (+ (* -1/6 -1/48) (+ (* 0 0) (+ (* 1/120 1/2) (* 0 0))))))) into 91/11520 7.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.563 * [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 7.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.566 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 1))))) into 1/384 7.568 * [backup-simplify]: Simplify (- (/ 91/11520 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* -1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/720 7.568 * [backup-simplify]: Simplify 1/720 into 1/720 7.569 * [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))) 7.569 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (sin (* 1/2 (/ 1 x))) (* (cos (* 1/2 (/ 1 x))) (/ 1 x)))) into (/ (* (pow x 2) (* (sin (/ 1 x)) (sin (/ 1/2 x)))) (cos (/ 1/2 x))) 7.569 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (* (sin (/ 1 x)) (sin (/ 1/2 x)))) (cos (/ 1/2 x))) in (x) around 0 7.569 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (* (sin (/ 1 x)) (sin (/ 1/2 x)))) (cos (/ 1/2 x))) in x 7.569 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (sin (/ 1 x)) (sin (/ 1/2 x)))) in x 7.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.569 * [taylor]: Taking taylor expansion of x in x 7.569 * [backup-simplify]: Simplify 0 into 0 7.569 * [backup-simplify]: Simplify 1 into 1 7.569 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1/2 x))) in x 7.569 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.569 * [taylor]: Taking taylor expansion of x in x 7.569 * [backup-simplify]: Simplify 0 into 0 7.569 * [backup-simplify]: Simplify 1 into 1 7.570 * [backup-simplify]: Simplify (/ 1 1) into 1 7.570 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.570 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.570 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.570 * [taylor]: Taking taylor expansion of 1/2 in x 7.570 * [backup-simplify]: Simplify 1/2 into 1/2 7.570 * [taylor]: Taking taylor expansion of x in x 7.570 * [backup-simplify]: Simplify 0 into 0 7.570 * [backup-simplify]: Simplify 1 into 1 7.570 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.571 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.571 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.571 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.571 * [taylor]: Taking taylor expansion of 1/2 in x 7.571 * [backup-simplify]: Simplify 1/2 into 1/2 7.571 * [taylor]: Taking taylor expansion of x in x 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify 1 into 1 7.571 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.571 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.572 * [backup-simplify]: Simplify (* 1 1) into 1 7.572 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1/2 x))) into (* (sin (/ 1 x)) (sin (/ 1/2 x))) 7.572 * [backup-simplify]: Simplify (* 1 (* (sin (/ 1 x)) (sin (/ 1/2 x)))) into (* (sin (/ 1 x)) (sin (/ 1/2 x))) 7.572 * [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))) 7.572 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (* (sin (/ 1 x)) (sin (/ 1/2 x)))) (cos (/ 1/2 x))) in x 7.572 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (sin (/ 1 x)) (sin (/ 1/2 x)))) in x 7.572 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.572 * [taylor]: Taking taylor expansion of x in x 7.572 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify 1 into 1 7.572 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1/2 x))) in x 7.572 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.572 * [taylor]: Taking taylor expansion of x in x 7.572 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify 1 into 1 7.573 * [backup-simplify]: Simplify (/ 1 1) into 1 7.573 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.573 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.573 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.573 * [taylor]: Taking taylor expansion of 1/2 in x 7.573 * [backup-simplify]: Simplify 1/2 into 1/2 7.573 * [taylor]: Taking taylor expansion of x in x 7.573 * [backup-simplify]: Simplify 0 into 0 7.573 * [backup-simplify]: Simplify 1 into 1 7.573 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.573 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.574 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.574 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.574 * [taylor]: Taking taylor expansion of 1/2 in x 7.574 * [backup-simplify]: Simplify 1/2 into 1/2 7.574 * [taylor]: Taking taylor expansion of x in x 7.574 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify 1 into 1 7.574 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.574 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.575 * [backup-simplify]: Simplify (* 1 1) into 1 7.575 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1/2 x))) into (* (sin (/ 1 x)) (sin (/ 1/2 x))) 7.575 * [backup-simplify]: Simplify (* 1 (* (sin (/ 1 x)) (sin (/ 1/2 x)))) into (* (sin (/ 1 x)) (sin (/ 1/2 x))) 7.575 * [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))) 7.575 * [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))) 7.575 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1/2 x)))) into 0 7.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (sin (/ 1 x)) (sin (/ 1/2 x))))) into 0 7.577 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 7.577 * [backup-simplify]: Simplify 0 into 0 7.578 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x))))) into 0 7.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sin (/ 1/2 x)))))) into 0 7.580 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.580 * [backup-simplify]: Simplify 0 into 0 7.581 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x)))))) into 0 7.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sin (/ 1/2 x))))))) into 0 7.584 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (* (sin (/ 1 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 7.584 * [backup-simplify]: Simplify 0 into 0 7.585 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x))))))) into 0 7.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sin (/ 1/2 x)))))))) into 0 7.588 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (* (sin (/ 1 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 7.588 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x)))))))) into 0 7.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sin (/ 1/2 x))))))))) into 0 7.593 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (* (sin (/ 1 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 7.593 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x))))))))) into 0 7.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sin (/ 1/2 x)))))))))) into 0 7.597 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (* (sin (/ 1 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 7.597 * [backup-simplify]: Simplify 0 into 0 7.598 * [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))) 7.598 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (sin (* 1/2 (/ 1 (- x)))) (* (cos (* 1/2 (/ 1 (- x)))) (/ 1 (- x))))) into (/ (* (pow x 2) (* (sin (/ -1 x)) (sin (/ -1/2 x)))) (cos (/ -1/2 x))) 7.598 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (* (sin (/ -1 x)) (sin (/ -1/2 x)))) (cos (/ -1/2 x))) in (x) around 0 7.598 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (* (sin (/ -1 x)) (sin (/ -1/2 x)))) (cos (/ -1/2 x))) in x 7.598 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (sin (/ -1 x)) (sin (/ -1/2 x)))) in x 7.598 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.598 * [taylor]: Taking taylor expansion of x in x 7.598 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify 1 into 1 7.598 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (sin (/ -1/2 x))) in x 7.598 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.598 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.598 * [taylor]: Taking taylor expansion of -1 in x 7.598 * [backup-simplify]: Simplify -1 into -1 7.598 * [taylor]: Taking taylor expansion of x in x 7.598 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify 1 into 1 7.598 * [backup-simplify]: Simplify (/ -1 1) into -1 7.598 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.598 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.598 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.599 * [taylor]: Taking taylor expansion of -1/2 in x 7.599 * [backup-simplify]: Simplify -1/2 into -1/2 7.599 * [taylor]: Taking taylor expansion of x in x 7.599 * [backup-simplify]: Simplify 0 into 0 7.599 * [backup-simplify]: Simplify 1 into 1 7.599 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.599 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.599 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.599 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.599 * [taylor]: Taking taylor expansion of -1/2 in x 7.599 * [backup-simplify]: Simplify -1/2 into -1/2 7.599 * [taylor]: Taking taylor expansion of x in x 7.599 * [backup-simplify]: Simplify 0 into 0 7.599 * [backup-simplify]: Simplify 1 into 1 7.599 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.599 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.600 * [backup-simplify]: Simplify (* 1 1) into 1 7.600 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1/2 x))) into (* (sin (/ -1 x)) (sin (/ -1/2 x))) 7.600 * [backup-simplify]: Simplify (* 1 (* (sin (/ -1 x)) (sin (/ -1/2 x)))) into (* (sin (/ -1 x)) (sin (/ -1/2 x))) 7.600 * [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))) 7.600 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (* (sin (/ -1 x)) (sin (/ -1/2 x)))) (cos (/ -1/2 x))) in x 7.600 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (sin (/ -1 x)) (sin (/ -1/2 x)))) in x 7.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.600 * [taylor]: Taking taylor expansion of x in x 7.600 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify 1 into 1 7.600 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (sin (/ -1/2 x))) in x 7.600 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.600 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.600 * [taylor]: Taking taylor expansion of -1 in x 7.600 * [backup-simplify]: Simplify -1 into -1 7.600 * [taylor]: Taking taylor expansion of x in x 7.600 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify 1 into 1 7.600 * [backup-simplify]: Simplify (/ -1 1) into -1 7.600 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.600 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.600 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.600 * [taylor]: Taking taylor expansion of -1/2 in x 7.600 * [backup-simplify]: Simplify -1/2 into -1/2 7.600 * [taylor]: Taking taylor expansion of x in x 7.600 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify 1 into 1 7.601 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.601 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.601 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.601 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.601 * [taylor]: Taking taylor expansion of -1/2 in x 7.601 * [backup-simplify]: Simplify -1/2 into -1/2 7.601 * [taylor]: Taking taylor expansion of x in x 7.601 * [backup-simplify]: Simplify 0 into 0 7.601 * [backup-simplify]: Simplify 1 into 1 7.601 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.601 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.601 * [backup-simplify]: Simplify (* 1 1) into 1 7.602 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1/2 x))) into (* (sin (/ -1 x)) (sin (/ -1/2 x))) 7.602 * [backup-simplify]: Simplify (* 1 (* (sin (/ -1 x)) (sin (/ -1/2 x)))) into (* (sin (/ -1 x)) (sin (/ -1/2 x))) 7.602 * [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))) 7.602 * [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))) 7.602 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1/2 x)))) into 0 7.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (sin (/ -1 x)) (sin (/ -1/2 x))))) into 0 7.603 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 7.603 * [backup-simplify]: Simplify 0 into 0 7.603 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x))))) into 0 7.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (sin (/ -1 x)) (sin (/ -1/2 x)))))) into 0 7.605 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x)))))) into 0 7.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ -1 x)) (sin (/ -1/2 x))))))) into 0 7.607 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (* (sin (/ -1 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 7.607 * [backup-simplify]: Simplify 0 into 0 7.608 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x))))))) into 0 7.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ -1 x)) (sin (/ -1/2 x)))))))) into 0 7.610 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (* (sin (/ -1 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 7.610 * [backup-simplify]: Simplify 0 into 0 7.611 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x)))))))) into 0 7.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ -1 x)) (sin (/ -1/2 x))))))))) into 0 7.613 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (* (sin (/ -1 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 7.613 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x))))))))) into 0 7.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ -1 x)) (sin (/ -1/2 x)))))))))) into 0 7.617 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (* (sin (/ -1 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 7.617 * [backup-simplify]: Simplify 0 into 0 7.617 * [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))) 7.618 * * * [progress]: simplifying candidates 7.618 * * * * [progress]: [ 1 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 2 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 3 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 4 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 5 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 6 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 7 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 8 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 9 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 10 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 11 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 12 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 13 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 14 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 15 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 16 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 17 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 18 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 19 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 20 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 21 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 22 / 136 ] simplifiying candidate # 7.618 * * * * [progress]: [ 23 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 24 / 136 ] simplifiying candidate #real (real->posit16 (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))))))> 7.619 * * * * [progress]: [ 25 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 26 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 27 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 28 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 29 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 30 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 31 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 32 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 33 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 34 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 35 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 36 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 37 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 38 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 39 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 40 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 41 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 42 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 43 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 44 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 45 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 46 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 47 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 48 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 49 / 136 ] simplifiying candidate # 7.619 * * * * [progress]: [ 50 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 51 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 52 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 53 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 54 / 136 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))))> 7.620 * * * * [progress]: [ 55 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 56 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 57 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 58 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 59 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 60 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 61 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 62 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 63 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 64 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 65 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 66 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 67 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 68 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 69 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 70 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 71 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 72 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 73 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 74 / 136 ] simplifiying candidate #real (real->posit16 (* (cos (* 1/2 x)) x))))))> 7.620 * * * * [progress]: [ 75 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 76 / 136 ] simplifiying candidate # 7.620 * * * * [progress]: [ 77 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 78 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 79 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 80 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 81 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 82 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 83 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 84 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 85 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 86 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 87 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 88 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 89 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 90 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 91 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 92 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 93 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 94 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 95 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 96 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 97 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 98 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 99 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 100 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 101 / 136 ] simplifiying candidate # 7.621 * * * * [progress]: [ 102 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 103 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 104 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 105 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 106 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 107 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 108 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 109 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 110 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 111 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 112 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 113 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 114 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 115 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 116 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 117 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 118 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 119 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 120 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 121 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 122 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 123 / 136 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))))))> 7.622 * * * * [progress]: [ 124 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 125 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 126 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 127 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 128 / 136 ] simplifiying candidate # 7.622 * * * * [progress]: [ 129 / 136 ] simplifiying candidate # 7.623 * * * * [progress]: [ 130 / 136 ] simplifiying candidate # 7.623 * * * * [progress]: [ 131 / 136 ] simplifiying candidate # 7.623 * * * * [progress]: [ 132 / 136 ] simplifiying candidate # 7.623 * * * * [progress]: [ 133 / 136 ] simplifiying candidate # 7.623 * * * * [progress]: [ 134 / 136 ] simplifiying candidate # 7.623 * * * * [progress]: [ 135 / 136 ] simplifiying candidate # 7.623 * * * * [progress]: [ 136 / 136 ] simplifiying candidate # 7.624 * [simplify]: Simplifying: (expm1 (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (log1p (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (- (log (sin (* 1/2 x))) (+ (log (cos (* 1/2 x))) (log x))) (- (log (sin (* 1/2 x))) (log (* (cos (* 1/2 x)) x))) (log (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (exp (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (/ (* (* (sin (* 1/2 x)) (sin (* 1/2 x))) (sin (* 1/2 x))) (* (* (* (cos (* 1/2 x)) (cos (* 1/2 x))) (cos (* 1/2 x))) (* (* x x) x))) (/ (* (* (sin (* 1/2 x)) (sin (* 1/2 x))) (sin (* 1/2 x))) (* (* (* (cos (* 1/2 x)) x) (* (cos (* 1/2 x)) x)) (* (cos (* 1/2 x)) x))) (* (cbrt (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (cbrt (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (cbrt (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (* (* (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (sqrt (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (sqrt (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (- (sin (* 1/2 x))) (- (* (cos (* 1/2 x)) x)) (/ (* (cbrt (sin (* 1/2 x))) (cbrt (sin (* 1/2 x)))) (cos (* 1/2 x))) (/ (cbrt (sin (* 1/2 x))) x) (/ (sqrt (sin (* 1/2 x))) (cos (* 1/2 x))) (/ (sqrt (sin (* 1/2 x))) x) (/ 1 (cos (* 1/2 x))) (/ (sin (* 1/2 x)) x) (/ 1 (* (cos (* 1/2 x)) x)) (/ (* (cos (* 1/2 x)) x) (sin (* 1/2 x))) (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (/ (* (cos (* 1/2 x)) x) (cbrt (sin (* 1/2 x)))) (/ (* (cos (* 1/2 x)) x) (sqrt (sin (* 1/2 x)))) (/ (* (cos (* 1/2 x)) x) (sin (* 1/2 x))) (real->posit16 (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (- (log (sin x)) (log x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) (/ 1 1) (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (/ (sin x) 1) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (* (cos (* 1/2 x)) x)) (log1p (* (cos (* 1/2 x)) x)) (* (cos (* 1/2 x)) x) (+ (log (cos (* 1/2 x))) (log x)) (log (* (cos (* 1/2 x)) x)) (exp (* (cos (* 1/2 x)) x)) (* (* (* (cos (* 1/2 x)) (cos (* 1/2 x))) (cos (* 1/2 x))) (* (* x x) x)) (* (cbrt (* (cos (* 1/2 x)) x)) (cbrt (* (cos (* 1/2 x)) x))) (cbrt (* (cos (* 1/2 x)) x)) (* (* (* (cos (* 1/2 x)) x) (* (cos (* 1/2 x)) x)) (* (cos (* 1/2 x)) x)) (sqrt (* (cos (* 1/2 x)) x)) (sqrt (* (cos (* 1/2 x)) x)) (* (sqrt (cos (* 1/2 x))) (sqrt x)) (* (sqrt (cos (* 1/2 x))) (sqrt x)) (* (cos (* 1/2 x)) (* (cbrt x) (cbrt x))) (* (cos (* 1/2 x)) (sqrt x)) (* (cos (* 1/2 x)) 1) (* (cbrt (cos (* 1/2 x))) x) (* (sqrt (cos (* 1/2 x))) x) (* (cos (* 1/2 x)) x) (real->posit16 (* (cos (* 1/2 x)) x)) (expm1 (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (log1p (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (+ (- (log (sin x)) (log x)) (- (log (sin (* 1/2 x))) (+ (log (cos (* 1/2 x))) (log x)))) (+ (- (log (sin x)) (log x)) (- (log (sin (* 1/2 x))) (log (* (cos (* 1/2 x)) x)))) (+ (- (log (sin x)) (log x)) (log (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (+ (log (/ (sin x) x)) (- (log (sin (* 1/2 x))) (+ (log (cos (* 1/2 x))) (log x)))) (+ (log (/ (sin x) x)) (- (log (sin (* 1/2 x))) (log (* (cos (* 1/2 x)) x)))) (+ (log (/ (sin x) x)) (log (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (log (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (exp (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (/ (* (* (sin (* 1/2 x)) (sin (* 1/2 x))) (sin (* 1/2 x))) (* (* (* (cos (* 1/2 x)) (cos (* 1/2 x))) (cos (* 1/2 x))) (* (* x x) x)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (/ (* (* (sin (* 1/2 x)) (sin (* 1/2 x))) (sin (* 1/2 x))) (* (* (* (cos (* 1/2 x)) x) (* (cos (* 1/2 x)) x)) (* (cos (* 1/2 x)) x)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (/ (* (* (sin (* 1/2 x)) (sin (* 1/2 x))) (sin (* 1/2 x))) (* (* (* (cos (* 1/2 x)) (cos (* 1/2 x))) (cos (* 1/2 x))) (* (* x x) x)))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (/ (* (* (sin (* 1/2 x)) (sin (* 1/2 x))) (sin (* 1/2 x))) (* (* (* (cos (* 1/2 x)) x) (* (cos (* 1/2 x)) x)) (* (cos (* 1/2 x)) x)))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (* (cbrt (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (cbrt (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))))) (cbrt (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (* (* (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (sqrt (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (sqrt (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (* (sin x) (sin (* 1/2 x))) (* x (* (cos (* 1/2 x)) x)) (* (sqrt (/ (sin x) x)) (sqrt (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (* (sqrt (/ (sin x) x)) (sqrt (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (* (/ (sin x) x) (* (cbrt (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (cbrt (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))))) (* (/ (sin x) x) (sqrt (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (* (/ (sin x) x) (/ (* (cbrt (sin (* 1/2 x))) (cbrt (sin (* 1/2 x)))) (cos (* 1/2 x)))) (* (/ (sin x) x) (/ (sqrt (sin (* 1/2 x))) (cos (* 1/2 x)))) (* (/ (sin x) x) (/ 1 (cos (* 1/2 x)))) (* (/ (sin x) x) 1) (* (/ (sin x) x) (sin (* 1/2 x))) (* (cbrt (/ (sin x) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (* (sqrt (/ (sin x) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (* (/ (cbrt (sin x)) (cbrt x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (* (/ (cbrt (sin x)) (sqrt x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (* (/ (cbrt (sin x)) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (* (/ (sqrt (sin x)) (cbrt x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (* (/ (sqrt (sin x)) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (* (/ (sin x) (cbrt x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (* (/ (sin x) (sqrt x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (* (/ 1 x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (* (/ (sin x) x) (sin (* 1/2 x))) (* (sin x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) (real->posit16 (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)))) (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) x) (- (+ x (* 1/384 (pow x 5))) (* 1/8 (pow x 3))) (* (cos (* 1/2 x)) x) (* (cos (* 1/2 x)) x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 7.626 * * [simplify]: iteration 1: (192 enodes) 7.726 * * [simplify]: iteration 2: (827 enodes) 8.053 * * [simplify]: Extracting #0: cost 112 inf + 0 8.063 * * [simplify]: Extracting #1: cost 656 inf + 1 8.071 * * [simplify]: Extracting #2: cost 825 inf + 12876 8.093 * * [simplify]: Extracting #3: cost 434 inf + 118477 8.143 * * [simplify]: Extracting #4: cost 54 inf + 250482 8.209 * * [simplify]: Extracting #5: cost 2 inf + 264507 8.275 * * [simplify]: Extracting #6: cost 0 inf + 264631 8.349 * [simplify]: Simplified to: (expm1 (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))) (log1p (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))) (log (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))) (log (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))) (log (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))) (exp (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))) (/ (* (* (sin (* 1/2 x)) (sin (* 1/2 x))) (/ (/ (sin (* 1/2 x)) x) (* x x))) (* (cos (* 1/2 x)) (* (cos (* 1/2 x)) (cos (* 1/2 x))))) (* (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))) (* (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))) (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))))) (* (cbrt (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))) (cbrt (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))))) (cbrt (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))) (* (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))) (* (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))) (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))))) (sqrt (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))) (sqrt (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))) (- (sin (* 1/2 x))) (- (* x (cos (* 1/2 x)))) (/ (* (cbrt (sin (* 1/2 x))) (cbrt (sin (* 1/2 x)))) (cos (* 1/2 x))) (/ (cbrt (sin (* 1/2 x))) x) (/ (sqrt (sin (* 1/2 x))) (cos (* 1/2 x))) (/ (sqrt (sin (* 1/2 x))) x) (/ 1 (cos (* 1/2 x))) (/ (sin (* 1/2 x)) x) (/ (/ 1 x) (cos (* 1/2 x))) (* (/ (cos (* 1/2 x)) (sin (* 1/2 x))) x) (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (/ (cos (* 1/2 x)) (/ (cbrt (sin (* 1/2 x))) x)) (* (/ (cos (* 1/2 x)) (sqrt (sin (* 1/2 x)))) x) (* (/ (cos (* 1/2 x)) (sin (* 1/2 x))) x) (real->posit16 (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (log (/ (sin x) x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (* (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (* (/ (cbrt (sin x)) (sqrt x)) (cbrt (sin x))) (/ (cbrt (sin x)) (sqrt x)) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (sqrt (sin x)) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) 1 (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (sin x) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (* x (cos (* 1/2 x)))) (log1p (* x (cos (* 1/2 x)))) (* x (cos (* 1/2 x))) (log (* x (cos (* 1/2 x)))) (log (* x (cos (* 1/2 x)))) (exp (* x (cos (* 1/2 x)))) (* (* (cos (* 1/2 x)) (cos (* 1/2 x))) (* (cos (* 1/2 x)) (* x (* x x)))) (* (cbrt (* x (cos (* 1/2 x)))) (cbrt (* x (cos (* 1/2 x))))) (cbrt (* x (cos (* 1/2 x)))) (* (* (* x (cos (* 1/2 x))) (* x (cos (* 1/2 x)))) (* x (cos (* 1/2 x)))) (sqrt (* x (cos (* 1/2 x)))) (sqrt (* x (cos (* 1/2 x)))) (* (sqrt x) (sqrt (cos (* 1/2 x)))) (* (sqrt x) (sqrt (cos (* 1/2 x)))) (* (* (cbrt x) (cbrt x)) (cos (* 1/2 x))) (* (cos (* 1/2 x)) (sqrt x)) (cos (* 1/2 x)) (* (cbrt (cos (* 1/2 x))) x) (* (sqrt (cos (* 1/2 x))) x) (* x (cos (* 1/2 x))) (real->posit16 (* x (cos (* 1/2 x)))) (expm1 (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x)))) (log1p (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x)))) (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))) (log (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x)))) (log (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x)))) (log (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x)))) (log (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x)))) (log (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x)))) (log (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x)))) (log (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x)))) (exp (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x)))) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (* (/ (sin x) x) (* (sin (* 1/2 x)) (sin (* 1/2 x)))) (/ (* (* (cos (* 1/2 x)) (* (cos (* 1/2 x)) (cos (* 1/2 x)))) (* x x)) (/ (sin (* 1/2 x)) x)))) (* (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))) (* (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))) (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))))) (* (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))) (* (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))) (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))))) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (* (/ (sin x) x) (* (sin (* 1/2 x)) (sin (* 1/2 x)))) (/ (* (* (cos (* 1/2 x)) (* (cos (* 1/2 x)) (cos (* 1/2 x)))) (* x x)) (/ (sin (* 1/2 x)) x)))) (* (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))) (* (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))) (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))))) (* (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))) (* (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))) (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))))) (* (cbrt (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x)))) (cbrt (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))))) (cbrt (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x)))) (* (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))) (* (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))) (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))))) (sqrt (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x)))) (sqrt (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x)))) (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (* x x)) (* (sqrt (/ (sin x) x)) (sqrt (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))))) (* (sqrt (/ (sin x) x)) (sqrt (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))))) (/ (sqrt (sin x)) (/ (sqrt x) (sqrt (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))))) (/ (sqrt (sin x)) (/ (sqrt x) (sqrt (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))))) (* (* (cbrt (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))) (/ (sin x) x)) (cbrt (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))))) (/ (sin x) (/ x (sqrt (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))))) (* (/ (sin x) x) (/ (* (cbrt (sin (* 1/2 x))) (cbrt (sin (* 1/2 x)))) (cos (* 1/2 x)))) (/ (sin x) (* (/ (cos (* 1/2 x)) (sqrt (sin (* 1/2 x)))) x)) (/ (/ (sin x) (cos (* 1/2 x))) x) (/ (sin x) x) (/ (sin x) (/ x (sin (* 1/2 x)))) (* (cbrt (/ (sin x) x)) (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))) (* (sqrt (/ (sin x) x)) (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))) (/ (* (cbrt (sin x)) (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x)))) (cbrt x)) (/ (cbrt (sin x)) (/ (sqrt x) (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))))) (/ (/ (* (cbrt (sin x)) (sin (* 1/2 x))) x) (* x (cos (* 1/2 x)))) (* (/ (/ (sqrt (sin x)) (cbrt x)) (cos (* 1/2 x))) (/ (sin (* 1/2 x)) x)) (/ (* (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))) (sqrt (sin x))) (sqrt x)) (/ (* (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))) (sqrt (sin x))) x) (* (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))) (/ (sin x) (cbrt x))) (* (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))) (/ (sin x) (sqrt x))) (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))) (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))) (/ (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))) x) (/ (sin x) (/ x (sin (* 1/2 x)))) (* (/ (sin x) (cos (* 1/2 x))) (/ (sin (* 1/2 x)) x)) (real->posit16 (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x)))) (fma 1/24 (* x x) (fma 1/240 (* (* x x) (* x x)) 1/2)) (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))) (/ (/ (sin (* 1/2 x)) x) (cos (* 1/2 x))) (+ (* (* x x) -1/6) (fma (* (* x x) (* x x)) 1/120 1)) (/ (sin x) x) (/ (sin x) x) (+ (* (* x (* x x)) -1/8) (fma (pow x 5) 1/384 x)) (* x (cos (* 1/2 x))) (* x (cos (* 1/2 x))) (fma (* (* x x) (* x x)) 1/720 (- 1/2 (* (* x x) 1/24))) (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))) (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))) 8.364 * * * [progress]: adding candidates to table 9.715 * [progress]: [Phase 3 of 3] Extracting. 9.715 * * [regime]: Finding splitpoints for: (# # # # # #) 9.717 * * * [regime-changes]: Trying 2 branch expressions: (x (/ (- 1 (cos x)) (* x x))) 9.718 * * * * [regimes]: Trying to branch on x from (# # # # # #) 9.748 * * * * [regimes]: Trying to branch on (/ (- 1 (cos x)) (* x x)) from (# # # # # #) 9.775 * * * [regime]: Found split indices: #