17.528 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.176 * * * [progress]: [2/2] Setting up program. 0.180 * [progress]: [Phase 2 of 3] Improving. 0.181 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.181 * [simplify]: Simplifying: (/ (- 1 (cos x)) (* x x)) 0.181 * * [simplify]: iteration 1: (6 enodes) 0.186 * * [simplify]: iteration 2: (15 enodes) 0.190 * * [simplify]: iteration 3: (23 enodes) 0.196 * * [simplify]: iteration 4: (28 enodes) 0.203 * * [simplify]: iteration 5: (30 enodes) 0.209 * * [simplify]: Extracting #0: cost 1 inf + 0 0.209 * * [simplify]: Extracting #1: cost 8 inf + 0 0.209 * * [simplify]: Extracting #2: cost 12 inf + 42 0.210 * * [simplify]: Extracting #3: cost 7 inf + 447 0.210 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.210 * [simplify]: Simplified to: (/ (- 1 (cos x)) (* x x)) 0.215 * * [progress]: iteration 1 / 4 0.215 * * * [progress]: picking best candidate 0.219 * * * * [pick]: Picked # 0.219 * * * [progress]: localizing error 0.243 * * * [progress]: generating rewritten candidates 0.243 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.274 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.281 * * * [progress]: generating series expansions 0.281 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.285 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2)) 0.285 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0 0.286 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.286 * [taylor]: Taking taylor expansion of 1 in x 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of (cos x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (- 1) into -1 0.288 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.288 * [backup-simplify]: Simplify (+ 0) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.289 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.290 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.290 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.290 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.290 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.290 * [taylor]: Taking taylor expansion of 1 in x 0.290 * [backup-simplify]: Simplify 1 into 1 0.291 * [taylor]: Taking taylor expansion of (cos x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (- 1) into -1 0.291 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.291 * [backup-simplify]: Simplify (+ 0) into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.293 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.293 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.299 * [backup-simplify]: Simplify (* 1 1) into 1 0.299 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.300 * [backup-simplify]: Simplify 1/2 into 1/2 0.301 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.304 * [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 0.304 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.304 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.306 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.306 * [backup-simplify]: Simplify -1/24 into -1/24 0.307 * [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 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.312 * [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 0.312 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.312 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.314 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.314 * [backup-simplify]: Simplify 1/720 into 1/720 0.315 * [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))) 0.315 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.315 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 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 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.316 * [taylor]: Taking taylor expansion of 1 in x 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [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)) 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.317 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.317 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.317 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.317 * [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 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [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 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.329 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.329 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.329 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.330 * [taylor]: Taking taylor expansion of 1 in x 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.330 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.330 * [taylor]: Taking taylor expansion of -1 in x 0.330 * [backup-simplify]: Simplify -1 into -1 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (/ -1 1) into -1 0.330 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.330 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.330 * [taylor]: Taking taylor expansion of 1 in x 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.330 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.330 * [taylor]: Taking taylor expansion of -1 in x 0.330 * [backup-simplify]: Simplify -1 into -1 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (/ -1 1) into -1 0.331 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.331 * [backup-simplify]: Simplify (* 1 1) into 1 0.331 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.331 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.331 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.331 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 0) (* 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 0) (* 0 1)))))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.344 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.344 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.344 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.344 * [taylor]: Taking taylor expansion of 1 in x 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of (cos x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.344 * [taylor]: Taking taylor expansion of 1 in x 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of (cos x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (- 1) into -1 0.345 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (+ 0) into 0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.346 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.347 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.347 * [backup-simplify]: Simplify 1/2 into 1/2 0.347 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.348 * [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 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.350 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.350 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.350 * [backup-simplify]: Simplify -1/24 into -1/24 0.351 * [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 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.354 * [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 0.355 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.355 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.355 * [backup-simplify]: Simplify 1/720 into 1/720 0.356 * [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))) 0.356 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.356 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.356 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.356 * [taylor]: Taking taylor expansion of 1 in x 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.356 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.356 * [taylor]: Taking taylor expansion of 1 in x 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.357 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.357 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.357 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.360 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.360 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.360 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.360 * [taylor]: Taking taylor expansion of 1 in x 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.360 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.360 * [taylor]: Taking taylor expansion of -1 in x 0.360 * [backup-simplify]: Simplify -1 into -1 0.360 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (/ -1 1) into -1 0.361 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.361 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.361 * [taylor]: Taking taylor expansion of 1 in x 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.361 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.361 * [taylor]: Taking taylor expansion of -1 in x 0.361 * [backup-simplify]: Simplify -1 into -1 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (/ -1 1) into -1 0.361 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.361 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.361 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.362 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 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 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 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 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.365 * * * [progress]: simplifying candidates 0.365 * * * * [progress]: [ 1 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 2 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 3 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 4 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 5 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 6 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 7 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 8 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 9 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 10 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 11 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 12 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 13 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 14 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 15 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 16 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 17 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 18 / 69 ] simplifiying candidate # 0.365 * * * * [progress]: [ 19 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 20 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 21 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 22 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 23 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 24 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 25 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 26 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 27 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 28 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 29 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 30 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 31 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 32 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.366 * * * * [progress]: [ 34 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 35 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 36 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 37 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 38 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 39 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 40 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 41 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 42 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 43 / 69 ] simplifiying candidate # 0.366 * * * * [progress]: [ 44 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 45 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 46 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 47 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 48 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 49 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 50 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 51 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 52 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 53 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 54 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 55 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 56 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 57 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 58 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 59 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 60 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 61 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 62 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.367 * * * * [progress]: [ 64 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 65 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 66 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 67 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 68 / 69 ] simplifiying candidate # 0.367 * * * * [progress]: [ 69 / 69 ] simplifiying candidate # 0.368 * [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)) 0.369 * * [simplify]: iteration 1: (121 enodes) 0.407 * * [simplify]: iteration 2: (289 enodes) 0.503 * * [simplify]: iteration 3: (856 enodes) 2.050 * * [simplify]: Extracting #0: cost 47 inf + 0 2.051 * * [simplify]: Extracting #1: cost 293 inf + 0 2.058 * * [simplify]: Extracting #2: cost 532 inf + 11747 2.081 * * [simplify]: Extracting #3: cost 264 inf + 74438 2.129 * * [simplify]: Extracting #4: cost 23 inf + 124803 2.178 * * [simplify]: Extracting #5: cost 1 inf + 131341 2.228 * * [simplify]: Extracting #6: cost 0 inf + 131613 2.275 * [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) 1/2 (fma 1/720 (* (* (* x x) (* x x)) (* x x)) (* -1/24 (* (* x x) (* x x))))) (- 1 (cos x)) (- 1 (cos x)) 2.278 * * * [progress]: adding candidates to table 2.798 * * [progress]: iteration 2 / 4 2.798 * * * [progress]: picking best candidate 2.817 * * * * [pick]: Picked # 2.817 * * * [progress]: localizing error 2.851 * * * [progress]: generating rewritten candidates 2.851 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.894 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.899 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.911 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.929 * * * [progress]: generating series expansions 2.929 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.929 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 2.929 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 2.929 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 2.929 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.929 * [taylor]: Taking taylor expansion of (sin x) in x 2.929 * [taylor]: Taking taylor expansion of x in x 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify 1 into 1 2.930 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.930 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 2.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 1 into 1 2.930 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.930 * [taylor]: Taking taylor expansion of (cos x) in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.930 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify 1 into 1 2.931 * [taylor]: Taking taylor expansion of 1 in x 2.931 * [backup-simplify]: Simplify 1 into 1 2.931 * [backup-simplify]: Simplify (* 1 1) into 1 2.931 * [backup-simplify]: Simplify (* 1 1) into 1 2.931 * [backup-simplify]: Simplify (+ 1 1) into 2 2.932 * [backup-simplify]: Simplify (* 1 2) into 2 2.932 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.932 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 2.932 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.932 * [taylor]: Taking taylor expansion of (sin x) in x 2.932 * [taylor]: Taking taylor expansion of x in x 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.932 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 2.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.932 * [taylor]: Taking taylor expansion of x in x 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.932 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.932 * [taylor]: Taking taylor expansion of (cos x) in x 2.933 * [taylor]: Taking taylor expansion of x in x 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 1 into 1 2.933 * [taylor]: Taking taylor expansion of 1 in x 2.933 * [backup-simplify]: Simplify 1 into 1 2.933 * [backup-simplify]: Simplify (* 1 1) into 1 2.933 * [backup-simplify]: Simplify (* 1 1) into 1 2.933 * [backup-simplify]: Simplify (+ 1 1) into 2 2.934 * [backup-simplify]: Simplify (* 1 2) into 2 2.934 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.934 * [backup-simplify]: Simplify 1/2 into 1/2 2.934 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.935 * [backup-simplify]: Simplify (+ 0) into 0 2.935 * [backup-simplify]: Simplify (+ 0 0) into 0 2.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 2.937 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 2.937 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.938 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.939 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.939 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.940 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 2.941 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 2.941 * [backup-simplify]: Simplify -1/24 into -1/24 2.942 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.944 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.944 * [backup-simplify]: Simplify (+ 0 0) into 0 2.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 2.948 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 2.948 * [backup-simplify]: Simplify 0 into 0 2.952 * [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 2.953 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.956 * [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 2.956 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.959 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 2.961 * [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 2.961 * [backup-simplify]: Simplify 1/720 into 1/720 2.961 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 2.962 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) 2.962 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 2.962 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 2.962 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 2.962 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.962 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.962 * [taylor]: Taking taylor expansion of x in x 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (/ 1 1) into 1 2.962 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.962 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.962 * [taylor]: Taking taylor expansion of x in x 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.962 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.962 * [taylor]: Taking taylor expansion of x in x 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (/ 1 1) into 1 2.963 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.963 * [taylor]: Taking taylor expansion of 1 in x 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.963 * [backup-simplify]: Simplify (* 1 1) into 1 2.964 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 2.964 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.964 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.964 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 2.964 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 2.964 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.964 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.964 * [taylor]: Taking taylor expansion of x in x 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 1 into 1 2.964 * [backup-simplify]: Simplify (/ 1 1) into 1 2.964 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.964 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.965 * [taylor]: Taking taylor expansion of x in x 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.965 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.965 * [taylor]: Taking taylor expansion of x in x 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [backup-simplify]: Simplify (/ 1 1) into 1 2.965 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.965 * [taylor]: Taking taylor expansion of 1 in x 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.966 * [backup-simplify]: Simplify (* 1 1) into 1 2.966 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 2.966 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.966 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.966 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.967 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.967 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 2.968 * [backup-simplify]: Simplify (+ 0 0) into 0 2.968 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.968 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.976 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.976 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.977 * [backup-simplify]: Simplify (+ 0 0) into 0 2.977 * [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 2.977 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.979 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.980 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.980 * [backup-simplify]: Simplify (+ 0 0) into 0 2.981 * [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 2.981 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.983 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.984 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.984 * [backup-simplify]: Simplify (+ 0 0) into 0 2.985 * [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 2.985 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.988 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.989 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.989 * [backup-simplify]: Simplify (+ 0 0) into 0 2.990 * [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))))) into 0 2.990 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.994 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.995 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.996 * [backup-simplify]: Simplify (+ 0 0) into 0 2.997 * [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 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 2.997 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) 2.997 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 2.997 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 2.997 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 2.997 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.998 * [taylor]: Taking taylor expansion of x in x 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 1 into 1 2.998 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.998 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.998 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.998 * [taylor]: Taking taylor expansion of -1 in x 2.998 * [backup-simplify]: Simplify -1 into -1 2.998 * [taylor]: Taking taylor expansion of x in x 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 1 into 1 2.998 * [backup-simplify]: Simplify (/ -1 1) into -1 2.998 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.998 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.998 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.998 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.998 * [taylor]: Taking taylor expansion of -1 in x 2.998 * [backup-simplify]: Simplify -1 into -1 2.998 * [taylor]: Taking taylor expansion of x in x 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [backup-simplify]: Simplify (/ -1 1) into -1 2.999 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.999 * [taylor]: Taking taylor expansion of 1 in x 2.999 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (* 1 1) into 1 3.000 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.000 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 3.000 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.000 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.000 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 3.000 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 3.000 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.000 * [taylor]: Taking taylor expansion of x in x 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 1 into 1 3.000 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.000 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.000 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.000 * [taylor]: Taking taylor expansion of -1 in x 3.000 * [backup-simplify]: Simplify -1 into -1 3.000 * [taylor]: Taking taylor expansion of x in x 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 1 into 1 3.001 * [backup-simplify]: Simplify (/ -1 1) into -1 3.001 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.001 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.001 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.001 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.001 * [taylor]: Taking taylor expansion of -1 in x 3.001 * [backup-simplify]: Simplify -1 into -1 3.001 * [taylor]: Taking taylor expansion of x in x 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 1 into 1 3.002 * [backup-simplify]: Simplify (/ -1 1) into -1 3.002 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.002 * [taylor]: Taking taylor expansion of 1 in x 3.002 * [backup-simplify]: Simplify 1 into 1 3.002 * [backup-simplify]: Simplify (* 1 1) into 1 3.002 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.002 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 3.002 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.003 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.003 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.003 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 3.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 3.005 * [backup-simplify]: Simplify (+ 0 0) into 0 3.005 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.005 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 3.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 3.008 * [backup-simplify]: Simplify (+ 0 0) into 0 3.008 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.008 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 3.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 3.012 * [backup-simplify]: Simplify (+ 0 0) into 0 3.012 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.012 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 3.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 3.017 * [backup-simplify]: Simplify (+ 0 0) into 0 3.017 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.017 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 3.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 3.022 * [backup-simplify]: Simplify (+ 0 0) into 0 3.023 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.023 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 3.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 3.029 * [backup-simplify]: Simplify (+ 0 0) into 0 3.030 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 3.031 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.031 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 3.031 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 3.031 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.031 * [taylor]: Taking taylor expansion of (cos x) in x 3.031 * [taylor]: Taking taylor expansion of x in x 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 1 into 1 3.031 * [taylor]: Taking taylor expansion of 1 in x 3.031 * [backup-simplify]: Simplify 1 into 1 3.031 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.031 * [taylor]: Taking taylor expansion of (cos x) in x 3.031 * [taylor]: Taking taylor expansion of x in x 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 1 into 1 3.031 * [taylor]: Taking taylor expansion of 1 in x 3.031 * [backup-simplify]: Simplify 1 into 1 3.032 * [backup-simplify]: Simplify (+ 1 1) into 2 3.032 * [backup-simplify]: Simplify 2 into 2 3.032 * [backup-simplify]: Simplify (+ 0) into 0 3.033 * [backup-simplify]: Simplify (+ 0 0) into 0 3.033 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.034 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.034 * [backup-simplify]: Simplify -1/2 into -1/2 3.035 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.036 * [backup-simplify]: Simplify (+ 0 0) into 0 3.036 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.039 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 3.039 * [backup-simplify]: Simplify 1/24 into 1/24 3.040 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2)) into (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) 3.040 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 3.040 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 3.040 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.040 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.040 * [taylor]: Taking taylor expansion of x in x 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 1 into 1 3.040 * [backup-simplify]: Simplify (/ 1 1) into 1 3.040 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.040 * [taylor]: Taking taylor expansion of 1 in x 3.041 * [backup-simplify]: Simplify 1 into 1 3.041 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.041 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.041 * [taylor]: Taking taylor expansion of x in x 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify 1 into 1 3.041 * [backup-simplify]: Simplify (/ 1 1) into 1 3.041 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.041 * [taylor]: Taking taylor expansion of 1 in x 3.041 * [backup-simplify]: Simplify 1 into 1 3.041 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.041 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.042 * [backup-simplify]: Simplify (+ 0 0) into 0 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify (+ 0 0) into 0 3.042 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify (+ 0 0) into 0 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify (+ 0 0) into 0 3.043 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify (+ 0 0) into 0 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify (+ 0 0) into 0 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 3.044 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 3.044 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 3.044 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.044 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.044 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.044 * [taylor]: Taking taylor expansion of -1 in x 3.045 * [backup-simplify]: Simplify -1 into -1 3.045 * [taylor]: Taking taylor expansion of x in x 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify 1 into 1 3.045 * [backup-simplify]: Simplify (/ -1 1) into -1 3.045 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.045 * [taylor]: Taking taylor expansion of 1 in x 3.045 * [backup-simplify]: Simplify 1 into 1 3.045 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.045 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.045 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.045 * [taylor]: Taking taylor expansion of -1 in x 3.045 * [backup-simplify]: Simplify -1 into -1 3.045 * [taylor]: Taking taylor expansion of x in x 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify 1 into 1 3.046 * [backup-simplify]: Simplify (/ -1 1) into -1 3.046 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.046 * [taylor]: Taking taylor expansion of 1 in x 3.046 * [backup-simplify]: Simplify 1 into 1 3.046 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.046 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.047 * [backup-simplify]: Simplify (+ 0 0) into 0 3.047 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify (+ 0 0) into 0 3.047 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify (+ 0 0) into 0 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify (+ 0 0) into 0 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify (+ 0 0) into 0 3.048 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify (+ 0 0) into 0 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 3.049 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.049 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 3.049 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 3.049 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.049 * [taylor]: Taking taylor expansion of (sin x) in x 3.049 * [taylor]: Taking taylor expansion of x in x 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 1 into 1 3.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.050 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.050 * [taylor]: Taking taylor expansion of (sin x) in x 3.050 * [taylor]: Taking taylor expansion of x in x 3.050 * [backup-simplify]: Simplify 0 into 0 3.050 * [backup-simplify]: Simplify 1 into 1 3.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.051 * [backup-simplify]: Simplify (* 1 1) into 1 3.051 * [backup-simplify]: Simplify 1 into 1 3.052 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.053 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.056 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 3.056 * [backup-simplify]: Simplify -1/3 into -1/3 3.057 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 3.059 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 3.063 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 3.064 * [backup-simplify]: Simplify 2/45 into 2/45 3.064 * [backup-simplify]: Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (pow x 2)))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) 3.064 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.064 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 3.064 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.064 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.064 * [taylor]: Taking taylor expansion of x in x 3.064 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify 1 into 1 3.064 * [backup-simplify]: Simplify (/ 1 1) into 1 3.064 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.064 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.064 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.064 * [taylor]: Taking taylor expansion of x in x 3.064 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify 1 into 1 3.065 * [backup-simplify]: Simplify (/ 1 1) into 1 3.065 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.065 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.065 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 3.065 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 3.065 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 3.067 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 3.068 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 3.070 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 3.070 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 3.070 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.070 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.070 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.070 * [taylor]: Taking taylor expansion of -1 in x 3.070 * [backup-simplify]: Simplify -1 into -1 3.070 * [taylor]: Taking taylor expansion of x in x 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify 1 into 1 3.070 * [backup-simplify]: Simplify (/ -1 1) into -1 3.071 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.071 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.071 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.071 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.071 * [taylor]: Taking taylor expansion of -1 in x 3.071 * [backup-simplify]: Simplify -1 into -1 3.071 * [taylor]: Taking taylor expansion of x in x 3.071 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify 1 into 1 3.071 * [backup-simplify]: Simplify (/ -1 1) into -1 3.071 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.071 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.071 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 3.071 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 3.071 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 3.072 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 3.074 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 3.075 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 3.076 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 3.076 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.077 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 3.077 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 3.077 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 3.077 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.077 * [taylor]: Taking taylor expansion of (sin x) in x 3.077 * [taylor]: Taking taylor expansion of x in x 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 1 into 1 3.077 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.077 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.077 * [taylor]: Taking taylor expansion of (cos x) in x 3.077 * [taylor]: Taking taylor expansion of x in x 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 1 into 1 3.077 * [taylor]: Taking taylor expansion of 1 in x 3.077 * [backup-simplify]: Simplify 1 into 1 3.078 * [backup-simplify]: Simplify (* 1 1) into 1 3.078 * [backup-simplify]: Simplify (+ 1 1) into 2 3.078 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.078 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 3.078 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.078 * [taylor]: Taking taylor expansion of (sin x) in x 3.078 * [taylor]: Taking taylor expansion of x in x 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 1 into 1 3.079 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.079 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.079 * [taylor]: Taking taylor expansion of (cos x) in x 3.079 * [taylor]: Taking taylor expansion of x in x 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.079 * [taylor]: Taking taylor expansion of 1 in x 3.079 * [backup-simplify]: Simplify 1 into 1 3.079 * [backup-simplify]: Simplify (* 1 1) into 1 3.079 * [backup-simplify]: Simplify (+ 1 1) into 2 3.080 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.080 * [backup-simplify]: Simplify 1/2 into 1/2 3.080 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.081 * [backup-simplify]: Simplify (+ 0) into 0 3.081 * [backup-simplify]: Simplify (+ 0 0) into 0 3.082 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 3.082 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.083 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 3.084 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.084 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.085 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 3.085 * [backup-simplify]: Simplify -1/24 into -1/24 3.086 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 3.088 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.088 * [backup-simplify]: Simplify (+ 0 0) into 0 3.089 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 3.089 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 3.092 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 3.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.093 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 3.095 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 3.095 * [backup-simplify]: Simplify 1/720 into 1/720 3.095 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 3.095 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.095 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 3.095 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 3.095 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.095 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.095 * [taylor]: Taking taylor expansion of x in x 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify 1 into 1 3.095 * [backup-simplify]: Simplify (/ 1 1) into 1 3.096 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.096 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.096 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.096 * [taylor]: Taking taylor expansion of x in x 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 1 into 1 3.096 * [backup-simplify]: Simplify (/ 1 1) into 1 3.096 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.096 * [taylor]: Taking taylor expansion of 1 in x 3.096 * [backup-simplify]: Simplify 1 into 1 3.096 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.096 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.096 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.096 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 3.096 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.096 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.096 * [taylor]: Taking taylor expansion of x in x 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 1 into 1 3.100 * [backup-simplify]: Simplify (/ 1 1) into 1 3.100 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.100 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.100 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.100 * [taylor]: Taking taylor expansion of x in x 3.100 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify 1 into 1 3.101 * [backup-simplify]: Simplify (/ 1 1) into 1 3.101 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.101 * [taylor]: Taking taylor expansion of 1 in x 3.101 * [backup-simplify]: Simplify 1 into 1 3.101 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.101 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.101 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.101 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.101 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 3.101 * [backup-simplify]: Simplify (+ 0 0) into 0 3.102 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 3.102 * [backup-simplify]: Simplify (+ 0 0) into 0 3.103 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 3.103 * [backup-simplify]: Simplify (+ 0 0) into 0 3.104 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 3.105 * [backup-simplify]: Simplify (+ 0 0) into 0 3.105 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.105 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 3.107 * [backup-simplify]: Simplify (+ 0 0) into 0 3.107 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.107 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 3.109 * [backup-simplify]: Simplify (+ 0 0) into 0 3.109 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 3.110 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.110 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 3.110 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 3.110 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.110 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.110 * [taylor]: Taking taylor expansion of -1 in x 3.110 * [backup-simplify]: Simplify -1 into -1 3.110 * [taylor]: Taking taylor expansion of x in x 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 1 into 1 3.110 * [backup-simplify]: Simplify (/ -1 1) into -1 3.110 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.110 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.110 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.110 * [taylor]: Taking taylor expansion of -1 in x 3.110 * [backup-simplify]: Simplify -1 into -1 3.110 * [taylor]: Taking taylor expansion of x in x 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 1 into 1 3.111 * [backup-simplify]: Simplify (/ -1 1) into -1 3.111 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.111 * [taylor]: Taking taylor expansion of 1 in x 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.111 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.111 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.111 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 3.111 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.111 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.111 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.111 * [taylor]: Taking taylor expansion of -1 in x 3.111 * [backup-simplify]: Simplify -1 into -1 3.111 * [taylor]: Taking taylor expansion of x in x 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [backup-simplify]: Simplify (/ -1 1) into -1 3.111 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.111 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.111 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.111 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.111 * [taylor]: Taking taylor expansion of -1 in x 3.111 * [backup-simplify]: Simplify -1 into -1 3.112 * [taylor]: Taking taylor expansion of x in x 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 1 into 1 3.112 * [backup-simplify]: Simplify (/ -1 1) into -1 3.112 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.112 * [taylor]: Taking taylor expansion of 1 in x 3.112 * [backup-simplify]: Simplify 1 into 1 3.112 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.112 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.112 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.112 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.112 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 3.113 * [backup-simplify]: Simplify (+ 0 0) into 0 3.113 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 3.113 * [backup-simplify]: Simplify (+ 0 0) into 0 3.114 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 3.115 * [backup-simplify]: Simplify (+ 0 0) into 0 3.115 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.115 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 3.116 * [backup-simplify]: Simplify (+ 0 0) into 0 3.116 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.116 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 3.118 * [backup-simplify]: Simplify (+ 0 0) into 0 3.118 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 3.119 * [backup-simplify]: Simplify (+ 0 0) into 0 3.120 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 3.120 * * * [progress]: simplifying candidates 3.120 * * * * [progress]: [ 1 / 138 ] simplifiying candidate # 3.120 * * * * [progress]: [ 2 / 138 ] simplifiying candidate # 3.120 * * * * [progress]: [ 3 / 138 ] simplifiying candidate # 3.120 * * * * [progress]: [ 4 / 138 ] simplifiying candidate # 3.120 * * * * [progress]: [ 5 / 138 ] simplifiying candidate # 3.120 * * * * [progress]: [ 6 / 138 ] simplifiying candidate # 3.120 * * * * [progress]: [ 7 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 8 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 9 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 10 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 11 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 12 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 13 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 14 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 15 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 16 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 17 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 18 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 19 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 20 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 21 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 22 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 23 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 24 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 25 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 26 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 27 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 28 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 29 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 30 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 31 / 138 ] simplifiying candidate # 3.121 * * * * [progress]: [ 32 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 33 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 34 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 35 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 36 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 37 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 38 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 39 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 40 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 41 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 42 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 43 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 44 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 45 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 46 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 47 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 3.122 * * * * [progress]: [ 49 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 50 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 51 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 52 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 53 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 54 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 55 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 56 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 57 / 138 ] simplifiying candidate # 3.122 * * * * [progress]: [ 58 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 59 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 60 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 61 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 62 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 63 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 64 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 3.123 * * * * [progress]: [ 66 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 67 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 68 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 69 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 70 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 71 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 72 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 73 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 74 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 75 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 76 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 77 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 78 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 79 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 80 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 81 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 82 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 83 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 84 / 138 ] simplifiying candidate # 3.123 * * * * [progress]: [ 85 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 86 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 87 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 88 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 89 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 90 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 91 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 92 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 93 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 94 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 3.124 * * * * [progress]: [ 96 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 97 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 98 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 99 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 100 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 101 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 102 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 103 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 104 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 105 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 106 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 107 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 108 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 109 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 110 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 111 / 138 ] simplifiying candidate # 3.124 * * * * [progress]: [ 112 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 113 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 114 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 115 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 116 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 117 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 118 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 119 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 120 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 121 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 122 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 123 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 124 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 125 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 3.125 * * * * [progress]: [ 127 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 128 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 129 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 130 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 131 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 132 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 133 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 134 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 135 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 136 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 137 / 138 ] simplifiying candidate # 3.125 * * * * [progress]: [ 138 / 138 ] simplifiying candidate # 3.126 * [simplify]: Simplifying: (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x))) (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x)) (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x)) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos 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(+ 1 (cos x)))) (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* (sin x) (sin x))) (- (+ 1 (cos x))) (/ 1/2 (+ 1 (cos x))) (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ 1 (+ 1 (cos x))) (/ (+ 1 (cos x)) (* (sin x) (sin x))) (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (/ (* (sin x) (sin x)) 1) (/ (* (sin x) (sin x)) 1) (/ (+ 1 (cos x)) (sin x)) (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (* (+ 1 (cos x)) 2) (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) (+ (cos x) 1) (+ (cos x) 1) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (/ (pow (sin x) 2) (+ (cos x) 1)) (/ (pow (sin x) 2) (+ (cos x) 1)) 3.128 * * [simplify]: iteration 1: (190 enodes) 3.180 * * [simplify]: iteration 2: (511 enodes) 3.418 * * [simplify]: iteration 3: (1856 enodes) 9.777 * * [simplify]: Extracting #0: cost 101 inf + 0 9.783 * * [simplify]: Extracting #1: cost 1237 inf + 2 9.794 * * [simplify]: Extracting #2: cost 2410 inf + 12992 9.884 * * [simplify]: Extracting #3: cost 1211 inf + 326841 10.094 * * [simplify]: Extracting #4: cost 99 inf + 665316 10.307 * * [simplify]: Extracting #5: cost 4 inf + 691565 10.484 * * [simplify]: Extracting #6: cost 0 inf + 692551 10.658 * * [simplify]: Extracting #7: cost 0 inf + 692546 10.886 * [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) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin 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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)) (- (/ 1 (fma (cos x) (* (cos x) (cos x)) 1)) (/ (* (cos x) (cos x)) (fma (cos x) (* (cos x) (cos x)) 1))) 1 (fma 2 (cos x) 2) (real->posit16 (* (tan (/ x 2)) (sin x))) (fma (* x x) -1/24 (fma (* x x) (* 1/720 (* x x)) 1/2)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (fma (* x x) -1/2 (fma (* x x) (* (* x x) 1/24) 2)) (+ 1 (cos x)) (+ 1 (cos x)) (fma -1/3 (* (* x x) (* x x)) (fma 2/45 (* (* x x) (* (* x x) (* x x))) (* x x))) (* (sin x) (sin x)) (* (sin x) (sin x)) (fma -1/24 (* (* x x) (* x x)) (fma 1/720 (* (* x x) (* (* x x) (* x x))) (* (* x x) 1/2))) (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x)) 10.899 * * * [progress]: adding candidates to table 12.098 * * [progress]: iteration 3 / 4 12.098 * * * [progress]: picking best candidate 12.124 * * * * [pick]: Picked # 12.124 * * * [progress]: localizing error 12.158 * * * [progress]: generating rewritten candidates 12.158 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 12.165 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 12.173 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 12.193 * * * [progress]: generating series expansions 12.193 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 12.194 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 12.194 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 12.194 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 12.194 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 12.195 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 12.195 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 12.195 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.195 * [taylor]: Taking taylor expansion of 1/2 in x 12.195 * [backup-simplify]: Simplify 1/2 into 1/2 12.195 * [taylor]: Taking taylor expansion of x in x 12.195 * [backup-simplify]: Simplify 0 into 0 12.195 * [backup-simplify]: Simplify 1 into 1 12.196 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.196 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.196 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 12.196 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.196 * [taylor]: Taking taylor expansion of 1/2 in x 12.196 * [backup-simplify]: Simplify 1/2 into 1/2 12.196 * [taylor]: Taking taylor expansion of x in x 12.196 * [backup-simplify]: Simplify 0 into 0 12.196 * [backup-simplify]: Simplify 1 into 1 12.197 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.197 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.198 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 12.198 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.198 * [taylor]: Taking taylor expansion of x in x 12.198 * [backup-simplify]: Simplify 0 into 0 12.198 * [backup-simplify]: Simplify 1 into 1 12.199 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.199 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 12.199 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 12.199 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 12.199 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 12.199 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.199 * [taylor]: Taking taylor expansion of 1/2 in x 12.199 * [backup-simplify]: Simplify 1/2 into 1/2 12.199 * [taylor]: Taking taylor expansion of x in x 12.199 * [backup-simplify]: Simplify 0 into 0 12.199 * [backup-simplify]: Simplify 1 into 1 12.200 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.201 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.201 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 12.201 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.201 * [taylor]: Taking taylor expansion of 1/2 in x 12.201 * [backup-simplify]: Simplify 1/2 into 1/2 12.201 * [taylor]: Taking taylor expansion of x in x 12.201 * [backup-simplify]: Simplify 0 into 0 12.201 * [backup-simplify]: Simplify 1 into 1 12.202 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.203 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.204 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 12.204 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.204 * [taylor]: Taking taylor expansion of x in x 12.204 * [backup-simplify]: Simplify 0 into 0 12.204 * [backup-simplify]: Simplify 1 into 1 12.205 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.205 * [backup-simplify]: Simplify 1/2 into 1/2 12.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.207 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.208 * [backup-simplify]: Simplify (+ 0) into 0 12.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.210 * [backup-simplify]: Simplify 0 into 0 12.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.213 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 12.214 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 12.216 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 12.217 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 12.217 * [backup-simplify]: Simplify 1/24 into 1/24 12.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.220 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.223 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 12.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 12.226 * [backup-simplify]: Simplify 0 into 0 12.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 12.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.237 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 12.240 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 12.241 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 12.241 * [backup-simplify]: Simplify 1/240 into 1/240 12.242 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 4)) (+ (* 1/24 (pow x 2)) 1/2)) into (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) 12.242 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 12.242 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 12.242 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 12.242 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 12.242 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.242 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 12.242 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.242 * [taylor]: Taking taylor expansion of 1/2 in x 12.242 * [backup-simplify]: Simplify 1/2 into 1/2 12.242 * [taylor]: Taking taylor expansion of x in x 12.242 * [backup-simplify]: Simplify 0 into 0 12.243 * [backup-simplify]: Simplify 1 into 1 12.243 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.243 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 12.243 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 12.243 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.243 * [taylor]: Taking taylor expansion of 1/2 in x 12.243 * [backup-simplify]: Simplify 1/2 into 1/2 12.243 * [taylor]: Taking taylor expansion of x in x 12.243 * [backup-simplify]: Simplify 0 into 0 12.243 * [backup-simplify]: Simplify 1 into 1 12.244 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.244 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 12.244 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.244 * [taylor]: Taking taylor expansion of x in x 12.244 * [backup-simplify]: Simplify 0 into 0 12.244 * [backup-simplify]: Simplify 1 into 1 12.244 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 12.244 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 12.244 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.244 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 12.244 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.244 * [taylor]: Taking taylor expansion of 1/2 in x 12.244 * [backup-simplify]: Simplify 1/2 into 1/2 12.244 * [taylor]: Taking taylor expansion of x in x 12.244 * [backup-simplify]: Simplify 0 into 0 12.244 * [backup-simplify]: Simplify 1 into 1 12.245 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.245 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 12.245 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 12.245 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.245 * [taylor]: Taking taylor expansion of 1/2 in x 12.245 * [backup-simplify]: Simplify 1/2 into 1/2 12.245 * [taylor]: Taking taylor expansion of x in x 12.245 * [backup-simplify]: Simplify 0 into 0 12.245 * [backup-simplify]: Simplify 1 into 1 12.246 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.246 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 12.246 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.246 * [taylor]: Taking taylor expansion of x in x 12.246 * [backup-simplify]: Simplify 0 into 0 12.246 * [backup-simplify]: Simplify 1 into 1 12.246 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 12.246 * [backup-simplify]: Simplify 0 into 0 12.246 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 12.247 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.247 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.248 * [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)))))) into 0 12.249 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 12.249 * [backup-simplify]: Simplify 0 into 0 12.249 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.250 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.250 * [backup-simplify]: Simplify 0 into 0 12.251 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.252 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.252 * [backup-simplify]: Simplify 0 into 0 12.252 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.254 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.254 * [backup-simplify]: Simplify 0 into 0 12.254 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.256 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.256 * [backup-simplify]: Simplify 0 into 0 12.257 * [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)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.258 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 12.258 * [backup-simplify]: Simplify 0 into 0 12.258 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 12.259 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 12.259 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 12.259 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 12.259 * [taylor]: Taking taylor expansion of -1 in x 12.259 * [backup-simplify]: Simplify -1 into -1 12.259 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 12.259 * [taylor]: Taking taylor expansion of x in x 12.259 * [backup-simplify]: Simplify 0 into 0 12.259 * [backup-simplify]: Simplify 1 into 1 12.259 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 12.259 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.259 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 12.259 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.259 * [taylor]: Taking taylor expansion of -1/2 in x 12.259 * [backup-simplify]: Simplify -1/2 into -1/2 12.259 * [taylor]: Taking taylor expansion of x in x 12.259 * [backup-simplify]: Simplify 0 into 0 12.259 * [backup-simplify]: Simplify 1 into 1 12.260 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.260 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 12.260 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 12.260 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.260 * [taylor]: Taking taylor expansion of -1/2 in x 12.260 * [backup-simplify]: Simplify -1/2 into -1/2 12.260 * [taylor]: Taking taylor expansion of x in x 12.260 * [backup-simplify]: Simplify 0 into 0 12.260 * [backup-simplify]: Simplify 1 into 1 12.260 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.261 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 12.261 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.261 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 12.261 * [taylor]: Taking taylor expansion of -1 in x 12.261 * [backup-simplify]: Simplify -1 into -1 12.261 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 12.261 * [taylor]: Taking taylor expansion of x in x 12.261 * [backup-simplify]: Simplify 0 into 0 12.261 * [backup-simplify]: Simplify 1 into 1 12.261 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 12.261 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.261 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 12.261 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.261 * [taylor]: Taking taylor expansion of -1/2 in x 12.261 * [backup-simplify]: Simplify -1/2 into -1/2 12.261 * [taylor]: Taking taylor expansion of x in x 12.261 * [backup-simplify]: Simplify 0 into 0 12.261 * [backup-simplify]: Simplify 1 into 1 12.262 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.262 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 12.262 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 12.262 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.262 * [taylor]: Taking taylor expansion of -1/2 in x 12.262 * [backup-simplify]: Simplify -1/2 into -1/2 12.262 * [taylor]: Taking taylor expansion of x in x 12.262 * [backup-simplify]: Simplify 0 into 0 12.262 * [backup-simplify]: Simplify 1 into 1 12.262 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.262 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 12.263 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.263 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 12.263 * [backup-simplify]: Simplify (* -1 0) into 0 12.263 * [backup-simplify]: Simplify 0 into 0 12.264 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 12.264 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.265 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 12.265 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 12.265 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 12.267 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 12.267 * [backup-simplify]: Simplify 0 into 0 12.268 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 12.271 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 12.271 * [backup-simplify]: Simplify 0 into 0 12.271 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 12.274 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 12.275 * [backup-simplify]: Simplify 0 into 0 12.275 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 12.279 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 12.279 * [backup-simplify]: Simplify 0 into 0 12.280 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 12.285 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))))) into 0 12.285 * [backup-simplify]: Simplify 0 into 0 12.285 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0 12.291 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))))) into 0 12.291 * [backup-simplify]: Simplify 0 into 0 12.291 * [backup-simplify]: Simplify (* (- (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 12.292 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 12.292 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 12.292 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 12.292 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 12.292 * [taylor]: Taking taylor expansion of (sin x) in x 12.292 * [taylor]: Taking taylor expansion of x in x 12.292 * [backup-simplify]: Simplify 0 into 0 12.292 * [backup-simplify]: Simplify 1 into 1 12.292 * [taylor]: Taking taylor expansion of x in x 12.292 * [backup-simplify]: Simplify 0 into 0 12.292 * [backup-simplify]: Simplify 1 into 1 12.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 12.293 * [backup-simplify]: Simplify (/ 1 1) into 1 12.293 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 12.293 * [taylor]: Taking taylor expansion of (sin x) in x 12.293 * [taylor]: Taking taylor expansion of x in x 12.293 * [backup-simplify]: Simplify 0 into 0 12.293 * [backup-simplify]: Simplify 1 into 1 12.293 * [taylor]: Taking taylor expansion of x in x 12.293 * [backup-simplify]: Simplify 0 into 0 12.293 * [backup-simplify]: Simplify 1 into 1 12.294 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 12.294 * [backup-simplify]: Simplify (/ 1 1) into 1 12.294 * [backup-simplify]: Simplify 1 into 1 12.295 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 12.296 * [backup-simplify]: Simplify 0 into 0 12.298 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 12.299 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 12.299 * [backup-simplify]: Simplify -1/6 into -1/6 12.301 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 12.303 * [backup-simplify]: Simplify 0 into 0 12.306 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 12.307 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 12.307 * [backup-simplify]: Simplify 1/120 into 1/120 12.308 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) 12.308 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 12.308 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 12.308 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 12.308 * [taylor]: Taking taylor expansion of x in x 12.308 * [backup-simplify]: Simplify 0 into 0 12.308 * [backup-simplify]: Simplify 1 into 1 12.308 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 12.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.308 * [taylor]: Taking taylor expansion of x in x 12.308 * [backup-simplify]: Simplify 0 into 0 12.308 * [backup-simplify]: Simplify 1 into 1 12.308 * [backup-simplify]: Simplify (/ 1 1) into 1 12.308 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.308 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 12.308 * [taylor]: Taking taylor expansion of x in x 12.308 * [backup-simplify]: Simplify 0 into 0 12.309 * [backup-simplify]: Simplify 1 into 1 12.309 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 12.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.309 * [taylor]: Taking taylor expansion of x in x 12.309 * [backup-simplify]: Simplify 0 into 0 12.309 * [backup-simplify]: Simplify 1 into 1 12.309 * [backup-simplify]: Simplify (/ 1 1) into 1 12.309 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.309 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 12.309 * [backup-simplify]: Simplify 0 into 0 12.310 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 12.310 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 12.310 * [backup-simplify]: Simplify 0 into 0 12.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 12.312 * [backup-simplify]: Simplify 0 into 0 12.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 12.313 * [backup-simplify]: Simplify 0 into 0 12.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 12.315 * [backup-simplify]: Simplify 0 into 0 12.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 12.317 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 12.320 * [backup-simplify]: Simplify 0 into 0 12.320 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 12.320 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 12.320 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 12.320 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 12.320 * [taylor]: Taking taylor expansion of -1 in x 12.320 * [backup-simplify]: Simplify -1 into -1 12.320 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 12.320 * [taylor]: Taking taylor expansion of x in x 12.320 * [backup-simplify]: Simplify 0 into 0 12.320 * [backup-simplify]: Simplify 1 into 1 12.320 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 12.320 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.320 * [taylor]: Taking taylor expansion of -1 in x 12.320 * [backup-simplify]: Simplify -1 into -1 12.320 * [taylor]: Taking taylor expansion of x in x 12.320 * [backup-simplify]: Simplify 0 into 0 12.320 * [backup-simplify]: Simplify 1 into 1 12.321 * [backup-simplify]: Simplify (/ -1 1) into -1 12.321 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 12.321 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 12.321 * [taylor]: Taking taylor expansion of -1 in x 12.321 * [backup-simplify]: Simplify -1 into -1 12.321 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 12.321 * [taylor]: Taking taylor expansion of x in x 12.321 * [backup-simplify]: Simplify 0 into 0 12.321 * [backup-simplify]: Simplify 1 into 1 12.321 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 12.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.321 * [taylor]: Taking taylor expansion of -1 in x 12.321 * [backup-simplify]: Simplify -1 into -1 12.321 * [taylor]: Taking taylor expansion of x in x 12.321 * [backup-simplify]: Simplify 0 into 0 12.321 * [backup-simplify]: Simplify 1 into 1 12.321 * [backup-simplify]: Simplify (/ -1 1) into -1 12.322 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 12.322 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 12.322 * [backup-simplify]: Simplify (* -1 0) into 0 12.322 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 12.323 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 12.323 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 12.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 12.325 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 12.325 * [backup-simplify]: Simplify 0 into 0 12.329 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 12.331 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 12.331 * [backup-simplify]: Simplify 0 into 0 12.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 12.334 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 12.334 * [backup-simplify]: Simplify 0 into 0 12.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 12.337 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 12.337 * [backup-simplify]: Simplify 0 into 0 12.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 12.341 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 12.341 * [backup-simplify]: Simplify 0 into 0 12.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 12.346 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 12.346 * [backup-simplify]: Simplify 0 into 0 12.346 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 12.346 * * * * [progress]: [ 3 / 3 ] generating series at (2) 12.346 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 12.347 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 12.347 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 12.347 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 12.347 * [taylor]: Taking taylor expansion of (sin x) in x 12.347 * [taylor]: Taking taylor expansion of x in x 12.347 * [backup-simplify]: Simplify 0 into 0 12.347 * [backup-simplify]: Simplify 1 into 1 12.347 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 12.347 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 12.347 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 12.347 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.347 * [taylor]: Taking taylor expansion of 1/2 in x 12.347 * [backup-simplify]: Simplify 1/2 into 1/2 12.347 * [taylor]: Taking taylor expansion of x in x 12.347 * [backup-simplify]: Simplify 0 into 0 12.347 * [backup-simplify]: Simplify 1 into 1 12.347 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.348 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.348 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 12.348 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.348 * [taylor]: Taking taylor expansion of 1/2 in x 12.348 * [backup-simplify]: Simplify 1/2 into 1/2 12.348 * [taylor]: Taking taylor expansion of x in x 12.348 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify 1 into 1 12.348 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.349 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.350 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 12.350 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.350 * [taylor]: Taking taylor expansion of x in x 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify 1 into 1 12.351 * [backup-simplify]: Simplify (* 0 1/2) into 0 12.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.352 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.353 * [backup-simplify]: Simplify (+ 0) into 0 12.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.354 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 12.355 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 12.355 * [backup-simplify]: Simplify (* 1 1) into 1 12.355 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.355 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 12.356 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 12.356 * [taylor]: Taking taylor expansion of (sin x) in x 12.356 * [taylor]: Taking taylor expansion of x in x 12.356 * [backup-simplify]: Simplify 0 into 0 12.356 * [backup-simplify]: Simplify 1 into 1 12.356 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 12.356 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 12.356 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 12.356 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.356 * [taylor]: Taking taylor expansion of 1/2 in x 12.356 * [backup-simplify]: Simplify 1/2 into 1/2 12.356 * [taylor]: Taking taylor expansion of x in x 12.356 * [backup-simplify]: Simplify 0 into 0 12.356 * [backup-simplify]: Simplify 1 into 1 12.356 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.357 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.357 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 12.357 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.357 * [taylor]: Taking taylor expansion of 1/2 in x 12.357 * [backup-simplify]: Simplify 1/2 into 1/2 12.357 * [taylor]: Taking taylor expansion of x in x 12.357 * [backup-simplify]: Simplify 0 into 0 12.357 * [backup-simplify]: Simplify 1 into 1 12.357 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.358 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.359 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 12.359 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.359 * [taylor]: Taking taylor expansion of x in x 12.359 * [backup-simplify]: Simplify 0 into 0 12.359 * [backup-simplify]: Simplify 1 into 1 12.360 * [backup-simplify]: Simplify (* 0 1/2) into 0 12.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.361 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.362 * [backup-simplify]: Simplify (+ 0) into 0 12.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.363 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 12.364 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 12.364 * [backup-simplify]: Simplify (* 1 1) into 1 12.364 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.365 * [backup-simplify]: Simplify 1/2 into 1/2 12.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.367 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 12.368 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 12.370 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 12.370 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.371 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 12.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.373 * [backup-simplify]: Simplify 0 into 0 12.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.375 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.376 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.377 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 12.380 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 12.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 12.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.383 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 12.383 * [backup-simplify]: Simplify -1/24 into -1/24 12.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.388 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 12.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.392 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 12.394 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 12.395 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.397 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 12.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 12.399 * [backup-simplify]: Simplify 0 into 0 12.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.405 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.408 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 12.413 * [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 12.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 12.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.418 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 12.418 * [backup-simplify]: Simplify 1/720 into 1/720 12.418 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 12.418 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 12.418 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 12.418 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 12.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.418 * [taylor]: Taking taylor expansion of x in x 12.418 * [backup-simplify]: Simplify 0 into 0 12.418 * [backup-simplify]: Simplify 1 into 1 12.418 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 12.418 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 12.418 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.419 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 12.419 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.419 * [taylor]: Taking taylor expansion of 1/2 in x 12.419 * [backup-simplify]: Simplify 1/2 into 1/2 12.419 * [taylor]: Taking taylor expansion of x in x 12.419 * [backup-simplify]: Simplify 0 into 0 12.419 * [backup-simplify]: Simplify 1 into 1 12.419 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.419 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 12.419 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 12.419 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.419 * [taylor]: Taking taylor expansion of 1/2 in x 12.419 * [backup-simplify]: Simplify 1/2 into 1/2 12.419 * [taylor]: Taking taylor expansion of x in x 12.419 * [backup-simplify]: Simplify 0 into 0 12.419 * [backup-simplify]: Simplify 1 into 1 12.420 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.420 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 12.420 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.420 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 12.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.420 * [taylor]: Taking taylor expansion of x in x 12.420 * [backup-simplify]: Simplify 0 into 0 12.420 * [backup-simplify]: Simplify 1 into 1 12.420 * [backup-simplify]: Simplify (/ 1 1) into 1 12.420 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.420 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 12.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.420 * [taylor]: Taking taylor expansion of x in x 12.421 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify 1 into 1 12.421 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 12.421 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 12.421 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.421 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 12.421 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.421 * [taylor]: Taking taylor expansion of 1/2 in x 12.421 * [backup-simplify]: Simplify 1/2 into 1/2 12.421 * [taylor]: Taking taylor expansion of x in x 12.421 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify 1 into 1 12.421 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.421 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 12.421 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 12.421 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.421 * [taylor]: Taking taylor expansion of 1/2 in x 12.421 * [backup-simplify]: Simplify 1/2 into 1/2 12.421 * [taylor]: Taking taylor expansion of x in x 12.421 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify 1 into 1 12.422 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.422 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 12.422 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.422 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 12.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.422 * [taylor]: Taking taylor expansion of x in x 12.422 * [backup-simplify]: Simplify 0 into 0 12.422 * [backup-simplify]: Simplify 1 into 1 12.422 * [backup-simplify]: Simplify (/ 1 1) into 1 12.423 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.423 * [backup-simplify]: Simplify (* 1 1) into 1 12.423 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 12.423 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 12.423 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 12.424 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 12.424 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 12.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 12.425 * [backup-simplify]: Simplify 0 into 0 12.425 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.426 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 12.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 12.428 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.429 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 12.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 12.432 * [backup-simplify]: Simplify 0 into 0 12.432 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.434 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 12.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 12.436 * [backup-simplify]: Simplify 0 into 0 12.436 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.437 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 12.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 12.439 * [backup-simplify]: Simplify 0 into 0 12.440 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.441 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 12.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 12.443 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 12.444 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) 12.444 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 12.444 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 12.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.444 * [taylor]: Taking taylor expansion of x in x 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 1 into 1 12.444 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 12.444 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 12.444 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.444 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 12.444 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.444 * [taylor]: Taking taylor expansion of -1/2 in x 12.444 * [backup-simplify]: Simplify -1/2 into -1/2 12.444 * [taylor]: Taking taylor expansion of x in x 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 1 into 1 12.444 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.444 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 12.445 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 12.445 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.445 * [taylor]: Taking taylor expansion of -1/2 in x 12.445 * [backup-simplify]: Simplify -1/2 into -1/2 12.445 * [taylor]: Taking taylor expansion of x in x 12.445 * [backup-simplify]: Simplify 0 into 0 12.445 * [backup-simplify]: Simplify 1 into 1 12.445 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.445 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 12.445 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.445 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 12.445 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.445 * [taylor]: Taking taylor expansion of -1 in x 12.446 * [backup-simplify]: Simplify -1 into -1 12.446 * [taylor]: Taking taylor expansion of x in x 12.446 * [backup-simplify]: Simplify 0 into 0 12.446 * [backup-simplify]: Simplify 1 into 1 12.446 * [backup-simplify]: Simplify (/ -1 1) into -1 12.446 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 12.446 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 12.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.446 * [taylor]: Taking taylor expansion of x in x 12.446 * [backup-simplify]: Simplify 0 into 0 12.446 * [backup-simplify]: Simplify 1 into 1 12.446 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 12.446 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 12.446 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.446 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 12.446 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.446 * [taylor]: Taking taylor expansion of -1/2 in x 12.446 * [backup-simplify]: Simplify -1/2 into -1/2 12.446 * [taylor]: Taking taylor expansion of x in x 12.446 * [backup-simplify]: Simplify 0 into 0 12.446 * [backup-simplify]: Simplify 1 into 1 12.447 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.447 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 12.447 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 12.447 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.447 * [taylor]: Taking taylor expansion of -1/2 in x 12.447 * [backup-simplify]: Simplify -1/2 into -1/2 12.447 * [taylor]: Taking taylor expansion of x in x 12.447 * [backup-simplify]: Simplify 0 into 0 12.447 * [backup-simplify]: Simplify 1 into 1 12.447 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.447 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 12.447 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.447 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 12.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.447 * [taylor]: Taking taylor expansion of -1 in x 12.447 * [backup-simplify]: Simplify -1 into -1 12.448 * [taylor]: Taking taylor expansion of x in x 12.448 * [backup-simplify]: Simplify 0 into 0 12.448 * [backup-simplify]: Simplify 1 into 1 12.448 * [backup-simplify]: Simplify (/ -1 1) into -1 12.448 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 12.448 * [backup-simplify]: Simplify (* 1 1) into 1 12.448 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 12.449 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 12.449 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 12.449 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 12.449 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 12.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 12.450 * [backup-simplify]: Simplify 0 into 0 12.450 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.450 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 12.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 12.453 * [backup-simplify]: Simplify 0 into 0 12.453 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.454 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 12.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 12.455 * [backup-simplify]: Simplify 0 into 0 12.456 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.456 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 12.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 12.458 * [backup-simplify]: Simplify 0 into 0 12.458 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.459 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 12.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.463 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 12.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 12.467 * [backup-simplify]: Simplify 0 into 0 12.468 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 12.468 * * * [progress]: simplifying candidates 12.468 * * * * [progress]: [ 1 / 123 ] simplifiying candidate # 12.468 * * * * [progress]: [ 2 / 123 ] simplifiying candidate # 12.468 * * * * [progress]: [ 3 / 123 ] simplifiying candidate # 12.468 * * * * [progress]: [ 4 / 123 ] simplifiying candidate # 12.468 * * * * [progress]: [ 5 / 123 ] simplifiying candidate # 12.468 * * * * [progress]: [ 6 / 123 ] simplifiying candidate # 12.468 * * * * [progress]: [ 7 / 123 ] simplifiying candidate # 12.468 * * * * [progress]: [ 8 / 123 ] simplifiying candidate # 12.468 * * * * [progress]: [ 9 / 123 ] simplifiying candidate # 12.468 * * * * [progress]: [ 10 / 123 ] simplifiying candidate # 12.468 * * * * [progress]: [ 11 / 123 ] simplifiying candidate # 12.469 * * * * [progress]: [ 12 / 123 ] simplifiying candidate # 12.469 * * * * [progress]: [ 13 / 123 ] simplifiying candidate # 12.469 * * * * [progress]: [ 14 / 123 ] simplifiying candidate # 12.469 * * * * [progress]: [ 15 / 123 ] simplifiying candidate # 12.469 * * * * [progress]: [ 16 / 123 ] simplifiying candidate # 12.469 * * * * [progress]: [ 17 / 123 ] simplifiying candidate # 12.469 * * * * [progress]: [ 18 / 123 ] simplifiying candidate # 12.469 * * * * [progress]: [ 19 / 123 ] simplifiying candidate # 12.469 * * * * [progress]: [ 20 / 123 ] simplifiying candidate # 12.469 * * * * [progress]: [ 21 / 123 ] simplifiying candidate # 12.469 * * * * [progress]: [ 22 / 123 ] simplifiying candidate # 12.469 * * * * [progress]: [ 23 / 123 ] simplifiying candidate # 12.469 * * * * [progress]: [ 24 / 123 ] simplifiying candidate # 12.469 * * * * [progress]: [ 25 / 123 ] simplifiying candidate # 12.469 * * * * [progress]: [ 26 / 123 ] simplifiying candidate # 12.469 * * * * [progress]: [ 27 / 123 ] simplifiying candidate # 12.470 * * * * [progress]: [ 28 / 123 ] simplifiying candidate # 12.470 * * * * [progress]: [ 29 / 123 ] simplifiying candidate # 12.470 * * * * [progress]: [ 30 / 123 ] simplifiying candidate # 12.470 * * * * [progress]: [ 31 / 123 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))))> 12.470 * * * * [progress]: [ 32 / 123 ] simplifiying candidate # 12.470 * * * * [progress]: [ 33 / 123 ] simplifiying candidate # 12.470 * * * * [progress]: [ 34 / 123 ] simplifiying candidate # 12.470 * * * * [progress]: [ 35 / 123 ] simplifiying candidate # 12.470 * * * * [progress]: [ 36 / 123 ] simplifiying candidate # 12.470 * * * * [progress]: [ 37 / 123 ] simplifiying candidate # 12.470 * * * * [progress]: [ 38 / 123 ] simplifiying candidate # 12.470 * * * * [progress]: [ 39 / 123 ] simplifiying candidate # 12.470 * * * * [progress]: [ 40 / 123 ] simplifiying candidate # 12.470 * * * * [progress]: [ 41 / 123 ] simplifiying candidate # 12.470 * * * * [progress]: [ 42 / 123 ] simplifiying candidate # 12.470 * * * * [progress]: [ 43 / 123 ] simplifiying candidate # 12.471 * * * * [progress]: [ 44 / 123 ] simplifiying candidate # 12.471 * * * * [progress]: [ 45 / 123 ] simplifiying candidate # 12.471 * * * * [progress]: [ 46 / 123 ] simplifiying candidate # 12.471 * * * * [progress]: [ 47 / 123 ] simplifiying candidate # 12.471 * * * * [progress]: [ 48 / 123 ] simplifiying candidate # 12.471 * * * * [progress]: [ 49 / 123 ] simplifiying candidate # 12.471 * * * * [progress]: [ 50 / 123 ] simplifiying candidate # 12.471 * * * * [progress]: [ 51 / 123 ] simplifiying candidate # 12.471 * * * * [progress]: [ 52 / 123 ] simplifiying candidate # 12.471 * * * * [progress]: [ 53 / 123 ] simplifiying candidate # 12.471 * * * * [progress]: [ 54 / 123 ] simplifiying candidate # 12.471 * * * * [progress]: [ 55 / 123 ] simplifiying candidate # 12.471 * * * * [progress]: [ 56 / 123 ] simplifiying candidate # 12.471 * * * * [progress]: [ 57 / 123 ] simplifiying candidate # 12.471 * * * * [progress]: [ 58 / 123 ] simplifiying candidate # 12.471 * * * * [progress]: [ 59 / 123 ] simplifiying candidate # 12.471 * * * * [progress]: [ 60 / 123 ] simplifiying candidate # 12.472 * * * * [progress]: [ 61 / 123 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))> 12.472 * * * * [progress]: [ 62 / 123 ] simplifiying candidate # 12.472 * * * * [progress]: [ 63 / 123 ] simplifiying candidate # 12.472 * * * * [progress]: [ 64 / 123 ] simplifiying candidate # 12.472 * * * * [progress]: [ 65 / 123 ] simplifiying candidate # 12.472 * * * * [progress]: [ 66 / 123 ] simplifiying candidate # 12.472 * * * * [progress]: [ 67 / 123 ] simplifiying candidate # 12.472 * * * * [progress]: [ 68 / 123 ] simplifiying candidate # 12.472 * * * * [progress]: [ 69 / 123 ] simplifiying candidate # 12.472 * * * * [progress]: [ 70 / 123 ] simplifiying candidate # 12.472 * * * * [progress]: [ 71 / 123 ] simplifiying candidate # 12.472 * * * * [progress]: [ 72 / 123 ] simplifiying candidate # 12.472 * * * * [progress]: [ 73 / 123 ] simplifiying candidate # 12.472 * * * * [progress]: [ 74 / 123 ] simplifiying candidate # 12.472 * * * * [progress]: [ 75 / 123 ] simplifiying candidate # 12.472 * * * * [progress]: [ 76 / 123 ] simplifiying candidate # 12.473 * * * * [progress]: [ 77 / 123 ] simplifiying candidate # 12.473 * * * * [progress]: [ 78 / 123 ] simplifiying candidate # 12.473 * * * * [progress]: [ 79 / 123 ] simplifiying candidate # 12.473 * * * * [progress]: [ 80 / 123 ] simplifiying candidate # 12.473 * * * * [progress]: [ 81 / 123 ] simplifiying candidate # 12.473 * * * * [progress]: [ 82 / 123 ] simplifiying candidate # 12.473 * * * * [progress]: [ 83 / 123 ] simplifiying candidate # 12.473 * * * * [progress]: [ 84 / 123 ] simplifiying candidate # 12.473 * * * * [progress]: [ 85 / 123 ] simplifiying candidate # 12.473 * * * * [progress]: [ 86 / 123 ] simplifiying candidate # 12.473 * * * * [progress]: [ 87 / 123 ] simplifiying candidate # 12.473 * * * * [progress]: [ 88 / 123 ] simplifiying candidate # 12.473 * * * * [progress]: [ 89 / 123 ] simplifiying candidate # 12.473 * * * * [progress]: [ 90 / 123 ] simplifiying candidate # 12.473 * * * * [progress]: [ 91 / 123 ] simplifiying candidate # 12.473 * * * * [progress]: [ 92 / 123 ] simplifiying candidate # 12.474 * * * * [progress]: [ 93 / 123 ] simplifiying candidate # 12.474 * * * * [progress]: [ 94 / 123 ] simplifiying candidate # 12.474 * * * * [progress]: [ 95 / 123 ] simplifiying candidate # 12.474 * * * * [progress]: [ 96 / 123 ] simplifiying candidate # 12.474 * * * * [progress]: [ 97 / 123 ] simplifiying candidate # 12.474 * * * * [progress]: [ 98 / 123 ] simplifiying candidate # 12.474 * * * * [progress]: [ 99 / 123 ] simplifiying candidate # 12.474 * * * * [progress]: [ 100 / 123 ] simplifiying candidate # 12.474 * * * * [progress]: [ 101 / 123 ] simplifiying candidate # 12.474 * * * * [progress]: [ 102 / 123 ] simplifiying candidate # 12.474 * * * * [progress]: [ 103 / 123 ] simplifiying candidate # 12.474 * * * * [progress]: [ 104 / 123 ] simplifiying candidate # 12.474 * * * * [progress]: [ 105 / 123 ] simplifiying candidate # 12.474 * * * * [progress]: [ 106 / 123 ] simplifiying candidate # 12.474 * * * * [progress]: [ 107 / 123 ] simplifiying candidate # 12.475 * * * * [progress]: [ 108 / 123 ] simplifiying candidate # 12.475 * * * * [progress]: [ 109 / 123 ] simplifiying candidate # 12.475 * * * * [progress]: [ 110 / 123 ] simplifiying candidate # 12.475 * * * * [progress]: [ 111 / 123 ] simplifiying candidate # 12.475 * * * * [progress]: [ 112 / 123 ] simplifiying candidate # 12.475 * * * * [progress]: [ 113 / 123 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))> 12.475 * * * * [progress]: [ 114 / 123 ] simplifiying candidate # 12.475 * * * * [progress]: [ 115 / 123 ] simplifiying candidate # 12.475 * * * * [progress]: [ 116 / 123 ] simplifiying candidate # 12.475 * * * * [progress]: [ 117 / 123 ] simplifiying candidate # 12.475 * * * * [progress]: [ 118 / 123 ] simplifiying candidate # 12.475 * * * * [progress]: [ 119 / 123 ] simplifiying candidate # 12.475 * * * * [progress]: [ 120 / 123 ] simplifiying candidate # 12.475 * * * * [progress]: [ 121 / 123 ] simplifiying candidate # 12.475 * * * * [progress]: [ 122 / 123 ] simplifiying candidate # 12.475 * * * * [progress]: [ 123 / 123 ] simplifiying candidate # 12.477 * [simplify]: Simplifying: (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (- (log (tan (/ x 2))) (log x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (/ (cbrt (tan (/ x 2))) (sqrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1) (/ (cbrt (tan (/ x 2))) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) 1) (/ (sqrt (tan (/ x 2))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) (/ 1 1) (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (sqrt x)) (/ (tan (/ x 2)) 1) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* x (cos (/ x 2))) (real->posit16 (/ (tan (/ x 2)) x)) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (- (log (sin x)) (log x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) (/ 1 1) (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (/ (sin x) 1) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log1p (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (+ (- (log (sin x)) (log x)) (- (log (tan (/ x 2))) (log x))) (+ (- (log (sin x)) (log x)) (log (/ (tan (/ x 2)) x))) (+ (log (/ (sin x) x)) (- (log (tan (/ x 2))) (log x))) (+ (log (/ (sin x) x)) (log (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (sin x) (tan (/ x 2))) (* x x) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))) (* (/ (sin x) x) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) 1)) (* (/ (sin x) x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ 1 (sqrt x))) (* (/ (sin x) x) (/ 1 1)) (* (/ (sin x) x) 1) (* (/ (sin x) x) (tan (/ x 2))) (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ 1 x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (tan (/ x 2))) (* (sin x) (/ (tan (/ x 2)) x)) (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 12.481 * * [simplify]: iteration 1: (172 enodes) 12.554 * * [simplify]: iteration 2: (451 enodes) 12.726 * * [simplify]: iteration 3: (1662 enodes) 14.972 * * [simplify]: Extracting #0: cost 107 inf + 0 14.975 * * [simplify]: Extracting #1: cost 710 inf + 1 14.985 * * [simplify]: Extracting #2: cost 1289 inf + 5547 15.023 * * [simplify]: Extracting #3: cost 713 inf + 160762 15.105 * * [simplify]: Extracting #4: cost 79 inf + 361145 15.190 * * [simplify]: Extracting #5: cost 2 inf + 388056 15.291 * * [simplify]: Extracting #6: cost 0 inf + 388692 15.394 * [simplify]: Simplified to: (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (/ (sqrt x) (cbrt (tan (/ x 2))))) (/ (cbrt (tan (/ x 2))) (sqrt x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (cbrt (tan (/ x 2))) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (tan (/ x 2))) (/ (sqrt (tan (/ x 2))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) 1 (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (/ (tan (/ x 2)) (cbrt x)) (cbrt x)) (/ (tan (/ x 2)) (sqrt x)) (tan (/ x 2)) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* (cos (/ x 2)) x) (real->posit16 (/ (tan (/ x 2)) x)) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (log (/ (sin x) x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (* (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (/ (sqrt x) (cbrt (sin x)))) (/ (cbrt (sin x)) (sqrt x)) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) x) (/ (/ (sqrt (sin x)) (cbrt x)) (cbrt x)) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (sqrt (sin x)) (/ (sqrt (sin x)) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) 1 (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (sin x) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (/ (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))) (* (tan (/ x 2)) (sin x)) (* x x) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (sin x) x))) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (sin x) x))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (/ (sin x) x))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (/ (sin x) x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (/ (sqrt (sin x)) (/ (sqrt x) (/ (sqrt (tan (/ x 2))) (sqrt x)))) (/ (sqrt (sin x)) (/ (sqrt x) (/ (sqrt (tan (/ x 2))) (sqrt x)))) (* (cbrt (/ (tan (/ x 2)) x)) (* (cbrt (/ (tan (/ x 2)) x)) (/ (sin x) x))) (* (sqrt (/ (tan (/ x 2)) x)) (/ (sin x) x)) (/ (/ (sin x) x) (* (/ (cbrt x) (cbrt (tan (/ x 2)))) (/ (cbrt x) (cbrt (tan (/ x 2)))))) (/ (* (* (/ (sin x) x) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))) (sqrt x)) (* (* (/ (sin x) x) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))) (/ (/ (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))))) (/ (/ (sin x) x) (* (cbrt x) (cbrt x))) (/ (sin x) (* x (sqrt x))) (/ (sin x) x) (/ (sin x) x) (/ (sin x) (/ x (tan (/ x 2)))) (* (/ (tan (/ x 2)) x) (cbrt (/ (sin x) x))) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (/ (cbrt (sin x)) (cbrt x))) (/ (* (cbrt (sin x)) (tan (/ x 2))) (* (sqrt x) x)) (/ (cbrt (sin x)) (* (/ x (tan (/ x 2))) x)) (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) (cbrt x))) (/ (sqrt (sin x)) (* (/ x (tan (/ x 2))) (sqrt x))) (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) x)) (/ (/ (sin x) (/ x (tan (/ x 2)))) (cbrt x)) (* (/ (sin x) (sqrt x)) (/ (tan (/ x 2)) 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 (* x x) (* 1/240 (* x x)) (fma (* x x) 1/24 1/2)) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (fma -1/6 (* x x) (fma 1/120 (* (* x x) (* x x)) 1)) (/ (sin x) x) (/ (sin x) x) (fma (* x x) -1/24 (fma (* (* x x) (* x x)) 1/720 1/2)) (/ (/ (* (sin x) (sin (* 1/2 x))) (* x x)) (cos (* 1/2 x))) (/ (/ (* (sin x) (sin (* 1/2 x))) (* x x)) (cos (* 1/2 x))) 15.400 * * * [progress]: adding candidates to table 16.513 * * [progress]: iteration 4 / 4 16.513 * * * [progress]: picking best candidate 16.533 * * * * [pick]: Picked # 16.533 * * * [progress]: localizing error 16.554 * * * [progress]: generating rewritten candidates 16.554 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 16.573 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 16.581 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 16.609 * * * [progress]: generating series expansions 16.609 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 16.609 * [backup-simplify]: Simplify (* (/ (sin x) x) (tan (/ x 2))) into (/ (* (sin x) (tan (* 1/2 x))) x) 16.609 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in (x) around 0 16.609 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 16.609 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 16.609 * [taylor]: Taking taylor expansion of (sin x) in x 16.609 * [taylor]: Taking taylor expansion of x in x 16.609 * [backup-simplify]: Simplify 0 into 0 16.609 * [backup-simplify]: Simplify 1 into 1 16.609 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 16.610 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 16.610 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 16.610 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 16.610 * [taylor]: Taking taylor expansion of 1/2 in x 16.610 * [backup-simplify]: Simplify 1/2 into 1/2 16.610 * [taylor]: Taking taylor expansion of x in x 16.610 * [backup-simplify]: Simplify 0 into 0 16.610 * [backup-simplify]: Simplify 1 into 1 16.611 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.611 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.611 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 16.611 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 16.611 * [taylor]: Taking taylor expansion of 1/2 in x 16.612 * [backup-simplify]: Simplify 1/2 into 1/2 16.612 * [taylor]: Taking taylor expansion of x in x 16.612 * [backup-simplify]: Simplify 0 into 0 16.612 * [backup-simplify]: Simplify 1 into 1 16.612 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.613 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.614 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 16.614 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.614 * [taylor]: Taking taylor expansion of x in x 16.614 * [backup-simplify]: Simplify 0 into 0 16.615 * [backup-simplify]: Simplify 1 into 1 16.615 * [backup-simplify]: Simplify (* 0 1/2) into 0 16.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 16.617 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.617 * [backup-simplify]: Simplify (+ 0) into 0 16.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.623 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 16.624 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 16.624 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.624 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 16.624 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 16.624 * [taylor]: Taking taylor expansion of (sin x) in x 16.624 * [taylor]: Taking taylor expansion of x in x 16.624 * [backup-simplify]: Simplify 0 into 0 16.624 * [backup-simplify]: Simplify 1 into 1 16.624 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 16.625 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 16.625 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 16.625 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 16.625 * [taylor]: Taking taylor expansion of 1/2 in x 16.625 * [backup-simplify]: Simplify 1/2 into 1/2 16.625 * [taylor]: Taking taylor expansion of x in x 16.625 * [backup-simplify]: Simplify 0 into 0 16.625 * [backup-simplify]: Simplify 1 into 1 16.625 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.626 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.626 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 16.626 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 16.626 * [taylor]: Taking taylor expansion of 1/2 in x 16.626 * [backup-simplify]: Simplify 1/2 into 1/2 16.626 * [taylor]: Taking taylor expansion of x in x 16.626 * [backup-simplify]: Simplify 0 into 0 16.626 * [backup-simplify]: Simplify 1 into 1 16.627 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.628 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.628 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 16.629 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.629 * [taylor]: Taking taylor expansion of x in x 16.629 * [backup-simplify]: Simplify 0 into 0 16.629 * [backup-simplify]: Simplify 1 into 1 16.630 * [backup-simplify]: Simplify (* 0 1/2) into 0 16.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 16.632 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.632 * [backup-simplify]: Simplify (+ 0) into 0 16.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.634 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 16.635 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 16.635 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.635 * [backup-simplify]: Simplify 1/2 into 1/2 16.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.638 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 16.639 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 16.641 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 16.642 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.643 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 16.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.644 * [backup-simplify]: Simplify 0 into 0 16.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.647 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 16.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 16.649 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 16.651 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 16.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 16.652 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 16.652 * [backup-simplify]: Simplify -1/24 into -1/24 16.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 16.655 * [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 16.656 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.658 * [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 16.659 * [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 16.660 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 16.661 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 16.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 16.662 * [backup-simplify]: Simplify 0 into 0 16.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 16.665 * [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 16.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.667 * [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 16.669 * [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 16.671 * [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 16.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 16.673 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 16.673 * [backup-simplify]: Simplify 1/720 into 1/720 16.673 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 16.673 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (tan (/ (/ 1 x) 2))) into (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 16.673 * [approximate]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 16.673 * [taylor]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 16.673 * [taylor]: Taking taylor expansion of x in x 16.673 * [backup-simplify]: Simplify 0 into 0 16.674 * [backup-simplify]: Simplify 1 into 1 16.674 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 16.674 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 16.674 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 16.674 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 16.674 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 16.674 * [taylor]: Taking taylor expansion of 1/2 in x 16.674 * [backup-simplify]: Simplify 1/2 into 1/2 16.674 * [taylor]: Taking taylor expansion of x in x 16.674 * [backup-simplify]: Simplify 0 into 0 16.674 * [backup-simplify]: Simplify 1 into 1 16.674 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.674 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 16.674 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 16.674 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 16.674 * [taylor]: Taking taylor expansion of 1/2 in x 16.674 * [backup-simplify]: Simplify 1/2 into 1/2 16.674 * [taylor]: Taking taylor expansion of x in x 16.674 * [backup-simplify]: Simplify 0 into 0 16.674 * [backup-simplify]: Simplify 1 into 1 16.674 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.674 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 16.675 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 16.675 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 16.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.675 * [taylor]: Taking taylor expansion of x in x 16.675 * [backup-simplify]: Simplify 0 into 0 16.675 * [backup-simplify]: Simplify 1 into 1 16.675 * [backup-simplify]: Simplify (/ 1 1) into 1 16.675 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 16.675 * [taylor]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 16.675 * [taylor]: Taking taylor expansion of x in x 16.675 * [backup-simplify]: Simplify 0 into 0 16.675 * [backup-simplify]: Simplify 1 into 1 16.675 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 16.675 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 16.675 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 16.675 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 16.675 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 16.675 * [taylor]: Taking taylor expansion of 1/2 in x 16.675 * [backup-simplify]: Simplify 1/2 into 1/2 16.675 * [taylor]: Taking taylor expansion of x in x 16.675 * [backup-simplify]: Simplify 0 into 0 16.675 * [backup-simplify]: Simplify 1 into 1 16.675 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.676 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 16.676 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 16.676 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 16.676 * [taylor]: Taking taylor expansion of 1/2 in x 16.676 * [backup-simplify]: Simplify 1/2 into 1/2 16.676 * [taylor]: Taking taylor expansion of x in x 16.676 * [backup-simplify]: Simplify 0 into 0 16.676 * [backup-simplify]: Simplify 1 into 1 16.676 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.676 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 16.676 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 16.676 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 16.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.676 * [taylor]: Taking taylor expansion of x in x 16.676 * [backup-simplify]: Simplify 0 into 0 16.676 * [backup-simplify]: Simplify 1 into 1 16.676 * [backup-simplify]: Simplify (/ 1 1) into 1 16.676 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 16.677 * [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))) 16.677 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into 0 16.677 * [backup-simplify]: Simplify 0 into 0 16.677 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 16.677 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 16.677 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 16.678 * [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))) 16.678 * [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 16.678 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 16.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 16.679 * [backup-simplify]: Simplify 0 into 0 16.679 * [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 16.680 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 16.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 16.680 * [backup-simplify]: Simplify 0 into 0 16.681 * [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 16.681 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 16.683 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 16.683 * [backup-simplify]: Simplify 0 into 0 16.683 * [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 16.684 * [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 16.685 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 16.685 * [backup-simplify]: Simplify 0 into 0 16.685 * [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 16.687 * [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 16.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 16.688 * [backup-simplify]: Simplify 0 into 0 16.689 * [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 16.690 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 16.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))))) into 0 16.692 * [backup-simplify]: Simplify 0 into 0 16.692 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) 16.692 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) into (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) 16.692 * [approximate]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in (x) around 0 16.692 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 16.692 * [taylor]: Taking taylor expansion of -1 in x 16.692 * [backup-simplify]: Simplify -1 into -1 16.692 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 16.692 * [taylor]: Taking taylor expansion of x in x 16.692 * [backup-simplify]: Simplify 0 into 0 16.692 * [backup-simplify]: Simplify 1 into 1 16.692 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 16.692 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 16.692 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 16.692 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 16.692 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 16.692 * [taylor]: Taking taylor expansion of -1/2 in x 16.693 * [backup-simplify]: Simplify -1/2 into -1/2 16.693 * [taylor]: Taking taylor expansion of x in x 16.693 * [backup-simplify]: Simplify 0 into 0 16.693 * [backup-simplify]: Simplify 1 into 1 16.693 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.693 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 16.693 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 16.693 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 16.693 * [taylor]: Taking taylor expansion of -1/2 in x 16.693 * [backup-simplify]: Simplify -1/2 into -1/2 16.693 * [taylor]: Taking taylor expansion of x in x 16.693 * [backup-simplify]: Simplify 0 into 0 16.693 * [backup-simplify]: Simplify 1 into 1 16.693 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.693 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 16.693 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 16.693 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 16.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.693 * [taylor]: Taking taylor expansion of -1 in x 16.693 * [backup-simplify]: Simplify -1 into -1 16.693 * [taylor]: Taking taylor expansion of x in x 16.694 * [backup-simplify]: Simplify 0 into 0 16.694 * [backup-simplify]: Simplify 1 into 1 16.694 * [backup-simplify]: Simplify (/ -1 1) into -1 16.694 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 16.694 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 16.694 * [taylor]: Taking taylor expansion of -1 in x 16.694 * [backup-simplify]: Simplify -1 into -1 16.694 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 16.694 * [taylor]: Taking taylor expansion of x in x 16.694 * [backup-simplify]: Simplify 0 into 0 16.694 * [backup-simplify]: Simplify 1 into 1 16.694 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 16.694 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 16.694 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 16.694 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 16.694 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 16.694 * [taylor]: Taking taylor expansion of -1/2 in x 16.694 * [backup-simplify]: Simplify -1/2 into -1/2 16.694 * [taylor]: Taking taylor expansion of x in x 16.694 * [backup-simplify]: Simplify 0 into 0 16.694 * [backup-simplify]: Simplify 1 into 1 16.695 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.695 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 16.695 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 16.695 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 16.695 * [taylor]: Taking taylor expansion of -1/2 in x 16.695 * [backup-simplify]: Simplify -1/2 into -1/2 16.695 * [taylor]: Taking taylor expansion of x in x 16.695 * [backup-simplify]: Simplify 0 into 0 16.695 * [backup-simplify]: Simplify 1 into 1 16.695 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.695 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 16.695 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 16.695 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 16.695 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.695 * [taylor]: Taking taylor expansion of -1 in x 16.695 * [backup-simplify]: Simplify -1 into -1 16.695 * [taylor]: Taking taylor expansion of x in x 16.695 * [backup-simplify]: Simplify 0 into 0 16.695 * [backup-simplify]: Simplify 1 into 1 16.696 * [backup-simplify]: Simplify (/ -1 1) into -1 16.696 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 16.696 * [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))) 16.696 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into 0 16.696 * [backup-simplify]: Simplify (* -1 0) into 0 16.696 * [backup-simplify]: Simplify 0 into 0 16.696 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 16.697 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 16.697 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 16.697 * [backup-simplify]: Simplify (+ (* -1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) 16.698 * [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)))) 16.698 * [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 16.698 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 16.699 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 16.699 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))) into 0 16.700 * [backup-simplify]: Simplify 0 into 0 16.700 * [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 16.701 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 16.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 16.703 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))) into 0 16.703 * [backup-simplify]: Simplify 0 into 0 16.704 * [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 16.705 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 16.707 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 16.709 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))))) into 0 16.709 * [backup-simplify]: Simplify 0 into 0 16.709 * [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 16.712 * [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 16.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 16.716 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 16.716 * [backup-simplify]: Simplify 0 into 0 16.716 * [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 16.718 * [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 16.721 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 16.723 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))))))) into 0 16.723 * [backup-simplify]: Simplify 0 into 0 16.724 * [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 16.726 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 16.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))))) into 0 16.734 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))))))) into 0 16.734 * [backup-simplify]: Simplify 0 into 0 16.734 * [backup-simplify]: Simplify (* (- (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) 16.734 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 16.734 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 16.734 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 16.734 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 16.735 * [taylor]: Taking taylor expansion of (sin x) in x 16.735 * [taylor]: Taking taylor expansion of x in x 16.735 * [backup-simplify]: Simplify 0 into 0 16.735 * [backup-simplify]: Simplify 1 into 1 16.735 * [taylor]: Taking taylor expansion of x in x 16.735 * [backup-simplify]: Simplify 0 into 0 16.735 * [backup-simplify]: Simplify 1 into 1 16.735 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 16.736 * [backup-simplify]: Simplify (/ 1 1) into 1 16.736 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 16.736 * [taylor]: Taking taylor expansion of (sin x) in x 16.736 * [taylor]: Taking taylor expansion of x in x 16.736 * [backup-simplify]: Simplify 0 into 0 16.736 * [backup-simplify]: Simplify 1 into 1 16.736 * [taylor]: Taking taylor expansion of x in x 16.736 * [backup-simplify]: Simplify 0 into 0 16.736 * [backup-simplify]: Simplify 1 into 1 16.737 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 16.737 * [backup-simplify]: Simplify (/ 1 1) into 1 16.737 * [backup-simplify]: Simplify 1 into 1 16.738 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 16.739 * [backup-simplify]: Simplify 0 into 0 16.741 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 16.742 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 16.742 * [backup-simplify]: Simplify -1/6 into -1/6 16.744 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 16.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 16.745 * [backup-simplify]: Simplify 0 into 0 16.748 * [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 16.750 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 16.750 * [backup-simplify]: Simplify 1/120 into 1/120 16.750 * [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))) 16.750 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 16.750 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 16.750 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 16.750 * [taylor]: Taking taylor expansion of x in x 16.750 * [backup-simplify]: Simplify 0 into 0 16.750 * [backup-simplify]: Simplify 1 into 1 16.750 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 16.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.750 * [taylor]: Taking taylor expansion of x in x 16.750 * [backup-simplify]: Simplify 0 into 0 16.750 * [backup-simplify]: Simplify 1 into 1 16.751 * [backup-simplify]: Simplify (/ 1 1) into 1 16.751 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 16.751 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 16.751 * [taylor]: Taking taylor expansion of x in x 16.751 * [backup-simplify]: Simplify 0 into 0 16.751 * [backup-simplify]: Simplify 1 into 1 16.751 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 16.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.751 * [taylor]: Taking taylor expansion of x in x 16.751 * [backup-simplify]: Simplify 0 into 0 16.751 * [backup-simplify]: Simplify 1 into 1 16.752 * [backup-simplify]: Simplify (/ 1 1) into 1 16.752 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 16.752 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 16.752 * [backup-simplify]: Simplify 0 into 0 16.752 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 16.752 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 16.753 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 16.753 * [backup-simplify]: Simplify 0 into 0 16.754 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 16.754 * [backup-simplify]: Simplify 0 into 0 16.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 16.756 * [backup-simplify]: Simplify 0 into 0 16.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 16.758 * [backup-simplify]: Simplify 0 into 0 16.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 16.760 * [backup-simplify]: Simplify 0 into 0 16.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 16.763 * [backup-simplify]: Simplify 0 into 0 16.763 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 16.763 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 16.763 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 16.763 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 16.763 * [taylor]: Taking taylor expansion of -1 in x 16.763 * [backup-simplify]: Simplify -1 into -1 16.763 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 16.763 * [taylor]: Taking taylor expansion of x in x 16.763 * [backup-simplify]: Simplify 0 into 0 16.763 * [backup-simplify]: Simplify 1 into 1 16.763 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 16.763 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.763 * [taylor]: Taking taylor expansion of -1 in x 16.763 * [backup-simplify]: Simplify -1 into -1 16.763 * [taylor]: Taking taylor expansion of x in x 16.763 * [backup-simplify]: Simplify 0 into 0 16.763 * [backup-simplify]: Simplify 1 into 1 16.764 * [backup-simplify]: Simplify (/ -1 1) into -1 16.764 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 16.764 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 16.764 * [taylor]: Taking taylor expansion of -1 in x 16.764 * [backup-simplify]: Simplify -1 into -1 16.764 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 16.764 * [taylor]: Taking taylor expansion of x in x 16.764 * [backup-simplify]: Simplify 0 into 0 16.764 * [backup-simplify]: Simplify 1 into 1 16.764 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 16.764 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.764 * [taylor]: Taking taylor expansion of -1 in x 16.764 * [backup-simplify]: Simplify -1 into -1 16.764 * [taylor]: Taking taylor expansion of x in x 16.764 * [backup-simplify]: Simplify 0 into 0 16.764 * [backup-simplify]: Simplify 1 into 1 16.764 * [backup-simplify]: Simplify (/ -1 1) into -1 16.764 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 16.764 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 16.764 * [backup-simplify]: Simplify (* -1 0) into 0 16.765 * [backup-simplify]: Simplify 0 into 0 16.765 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 16.765 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 16.765 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 16.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 16.766 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 16.766 * [backup-simplify]: Simplify 0 into 0 16.767 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 16.768 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 16.768 * [backup-simplify]: Simplify 0 into 0 16.769 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 16.770 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 16.770 * [backup-simplify]: Simplify 0 into 0 16.771 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 16.772 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 16.772 * [backup-simplify]: Simplify 0 into 0 16.774 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 16.775 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 16.775 * [backup-simplify]: Simplify 0 into 0 16.777 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 16.779 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 16.779 * [backup-simplify]: Simplify 0 into 0 16.779 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 16.779 * * * * [progress]: [ 3 / 3 ] generating series at (2) 16.779 * [backup-simplify]: Simplify (/ (* (/ (sin x) x) (tan (/ x 2))) x) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 16.779 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 16.779 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 16.779 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 16.779 * [taylor]: Taking taylor expansion of (sin x) in x 16.779 * [taylor]: Taking taylor expansion of x in x 16.779 * [backup-simplify]: Simplify 0 into 0 16.779 * [backup-simplify]: Simplify 1 into 1 16.779 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 16.779 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 16.779 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 16.779 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 16.779 * [taylor]: Taking taylor expansion of 1/2 in x 16.779 * [backup-simplify]: Simplify 1/2 into 1/2 16.779 * [taylor]: Taking taylor expansion of x in x 16.779 * [backup-simplify]: Simplify 0 into 0 16.779 * [backup-simplify]: Simplify 1 into 1 16.779 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.780 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.780 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 16.780 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 16.780 * [taylor]: Taking taylor expansion of 1/2 in x 16.780 * [backup-simplify]: Simplify 1/2 into 1/2 16.780 * [taylor]: Taking taylor expansion of x in x 16.780 * [backup-simplify]: Simplify 0 into 0 16.780 * [backup-simplify]: Simplify 1 into 1 16.780 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.781 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.781 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 16.782 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.782 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.782 * [taylor]: Taking taylor expansion of x in x 16.782 * [backup-simplify]: Simplify 0 into 0 16.782 * [backup-simplify]: Simplify 1 into 1 16.782 * [backup-simplify]: Simplify (* 0 1/2) into 0 16.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 16.783 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.783 * [backup-simplify]: Simplify (+ 0) into 0 16.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.784 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 16.785 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 16.785 * [backup-simplify]: Simplify (* 1 1) into 1 16.785 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.785 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 16.785 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 16.785 * [taylor]: Taking taylor expansion of (sin x) in x 16.785 * [taylor]: Taking taylor expansion of x in x 16.785 * [backup-simplify]: Simplify 0 into 0 16.785 * [backup-simplify]: Simplify 1 into 1 16.785 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 16.785 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 16.785 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 16.785 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 16.785 * [taylor]: Taking taylor expansion of 1/2 in x 16.785 * [backup-simplify]: Simplify 1/2 into 1/2 16.785 * [taylor]: Taking taylor expansion of x in x 16.785 * [backup-simplify]: Simplify 0 into 0 16.785 * [backup-simplify]: Simplify 1 into 1 16.786 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.786 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.786 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 16.786 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 16.786 * [taylor]: Taking taylor expansion of 1/2 in x 16.786 * [backup-simplify]: Simplify 1/2 into 1/2 16.786 * [taylor]: Taking taylor expansion of x in x 16.786 * [backup-simplify]: Simplify 0 into 0 16.786 * [backup-simplify]: Simplify 1 into 1 16.787 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.787 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.787 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 16.788 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.788 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.788 * [taylor]: Taking taylor expansion of x in x 16.788 * [backup-simplify]: Simplify 0 into 0 16.788 * [backup-simplify]: Simplify 1 into 1 16.788 * [backup-simplify]: Simplify (* 0 1/2) into 0 16.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 16.789 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.789 * [backup-simplify]: Simplify (+ 0) into 0 16.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.790 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 16.791 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 16.791 * [backup-simplify]: Simplify (* 1 1) into 1 16.791 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.791 * [backup-simplify]: Simplify 1/2 into 1/2 16.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.793 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 16.793 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 16.794 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 16.795 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.796 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 16.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.798 * [backup-simplify]: Simplify 0 into 0 16.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.801 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 16.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 16.803 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 16.806 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 16.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 16.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.810 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 16.810 * [backup-simplify]: Simplify -1/24 into -1/24 16.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 16.815 * [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 16.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.820 * [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 16.823 * [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 16.825 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 16.827 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 16.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 16.829 * [backup-simplify]: Simplify 0 into 0 16.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 16.832 * [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 16.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.835 * [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 16.837 * [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 16.839 * [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 16.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 16.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.842 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 16.842 * [backup-simplify]: Simplify 1/720 into 1/720 16.842 * [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))) 16.843 * [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)))) 16.843 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 16.843 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 16.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.843 * [taylor]: Taking taylor expansion of x in x 16.843 * [backup-simplify]: Simplify 0 into 0 16.843 * [backup-simplify]: Simplify 1 into 1 16.843 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 16.843 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 16.843 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 16.843 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 16.843 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 16.843 * [taylor]: Taking taylor expansion of 1/2 in x 16.843 * [backup-simplify]: Simplify 1/2 into 1/2 16.843 * [taylor]: Taking taylor expansion of x in x 16.843 * [backup-simplify]: Simplify 0 into 0 16.843 * [backup-simplify]: Simplify 1 into 1 16.843 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.843 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 16.843 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 16.843 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 16.843 * [taylor]: Taking taylor expansion of 1/2 in x 16.843 * [backup-simplify]: Simplify 1/2 into 1/2 16.843 * [taylor]: Taking taylor expansion of x in x 16.843 * [backup-simplify]: Simplify 0 into 0 16.843 * [backup-simplify]: Simplify 1 into 1 16.844 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.844 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 16.844 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 16.844 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 16.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.844 * [taylor]: Taking taylor expansion of x in x 16.844 * [backup-simplify]: Simplify 0 into 0 16.844 * [backup-simplify]: Simplify 1 into 1 16.844 * [backup-simplify]: Simplify (/ 1 1) into 1 16.844 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 16.844 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 16.844 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.844 * [taylor]: Taking taylor expansion of x in x 16.844 * [backup-simplify]: Simplify 0 into 0 16.844 * [backup-simplify]: Simplify 1 into 1 16.844 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 16.844 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 16.844 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 16.844 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 16.844 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 16.844 * [taylor]: Taking taylor expansion of 1/2 in x 16.844 * [backup-simplify]: Simplify 1/2 into 1/2 16.844 * [taylor]: Taking taylor expansion of x in x 16.844 * [backup-simplify]: Simplify 0 into 0 16.844 * [backup-simplify]: Simplify 1 into 1 16.845 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.845 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 16.845 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 16.845 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 16.845 * [taylor]: Taking taylor expansion of 1/2 in x 16.845 * [backup-simplify]: Simplify 1/2 into 1/2 16.845 * [taylor]: Taking taylor expansion of x in x 16.845 * [backup-simplify]: Simplify 0 into 0 16.845 * [backup-simplify]: Simplify 1 into 1 16.846 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.847 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 16.847 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 16.847 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 16.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.847 * [taylor]: Taking taylor expansion of x in x 16.847 * [backup-simplify]: Simplify 0 into 0 16.847 * [backup-simplify]: Simplify 1 into 1 16.847 * [backup-simplify]: Simplify (/ 1 1) into 1 16.847 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 16.848 * [backup-simplify]: Simplify (* 1 1) into 1 16.848 * [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))) 16.848 * [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))) 16.848 * [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))) 16.848 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 16.848 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 16.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 16.849 * [backup-simplify]: Simplify 0 into 0 16.849 * [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 16.850 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 16.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 16.851 * [backup-simplify]: Simplify 0 into 0 16.851 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 16.852 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 16.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 16.854 * [backup-simplify]: Simplify 0 into 0 16.854 * [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 16.855 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 16.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.857 * [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 16.857 * [backup-simplify]: Simplify 0 into 0 16.857 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 16.858 * [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 16.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 16.861 * [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 16.861 * [backup-simplify]: Simplify 0 into 0 16.862 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 16.864 * [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 16.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 16.868 * [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 16.868 * [backup-simplify]: Simplify 0 into 0 16.869 * [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))) 16.869 * [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)))) 16.869 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 16.869 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 16.869 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.869 * [taylor]: Taking taylor expansion of x in x 16.869 * [backup-simplify]: Simplify 0 into 0 16.869 * [backup-simplify]: Simplify 1 into 1 16.869 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 16.869 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 16.869 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 16.869 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 16.869 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 16.869 * [taylor]: Taking taylor expansion of -1/2 in x 16.870 * [backup-simplify]: Simplify -1/2 into -1/2 16.870 * [taylor]: Taking taylor expansion of x in x 16.870 * [backup-simplify]: Simplify 0 into 0 16.870 * [backup-simplify]: Simplify 1 into 1 16.870 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.870 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 16.870 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 16.870 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 16.870 * [taylor]: Taking taylor expansion of -1/2 in x 16.870 * [backup-simplify]: Simplify -1/2 into -1/2 16.870 * [taylor]: Taking taylor expansion of x in x 16.870 * [backup-simplify]: Simplify 0 into 0 16.870 * [backup-simplify]: Simplify 1 into 1 16.871 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.871 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 16.871 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 16.871 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 16.871 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.871 * [taylor]: Taking taylor expansion of -1 in x 16.871 * [backup-simplify]: Simplify -1 into -1 16.871 * [taylor]: Taking taylor expansion of x in x 16.871 * [backup-simplify]: Simplify 0 into 0 16.871 * [backup-simplify]: Simplify 1 into 1 16.872 * [backup-simplify]: Simplify (/ -1 1) into -1 16.872 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 16.872 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 16.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.872 * [taylor]: Taking taylor expansion of x in x 16.872 * [backup-simplify]: Simplify 0 into 0 16.872 * [backup-simplify]: Simplify 1 into 1 16.872 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 16.872 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 16.872 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 16.872 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 16.872 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 16.872 * [taylor]: Taking taylor expansion of -1/2 in x 16.872 * [backup-simplify]: Simplify -1/2 into -1/2 16.872 * [taylor]: Taking taylor expansion of x in x 16.872 * [backup-simplify]: Simplify 0 into 0 16.872 * [backup-simplify]: Simplify 1 into 1 16.873 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.873 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 16.873 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 16.873 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 16.873 * [taylor]: Taking taylor expansion of -1/2 in x 16.873 * [backup-simplify]: Simplify -1/2 into -1/2 16.873 * [taylor]: Taking taylor expansion of x in x 16.873 * [backup-simplify]: Simplify 0 into 0 16.873 * [backup-simplify]: Simplify 1 into 1 16.873 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.873 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 16.874 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 16.874 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 16.874 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.874 * [taylor]: Taking taylor expansion of -1 in x 16.874 * [backup-simplify]: Simplify -1 into -1 16.874 * [taylor]: Taking taylor expansion of x in x 16.874 * [backup-simplify]: Simplify 0 into 0 16.874 * [backup-simplify]: Simplify 1 into 1 16.874 * [backup-simplify]: Simplify (/ -1 1) into -1 16.874 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 16.875 * [backup-simplify]: Simplify (* 1 1) into 1 16.875 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 16.875 * [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))) 16.875 * [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))) 16.876 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 16.876 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 16.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 16.877 * [backup-simplify]: Simplify 0 into 0 16.878 * [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 16.878 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 16.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 16.880 * [backup-simplify]: Simplify 0 into 0 16.881 * [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 16.882 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 16.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 16.884 * [backup-simplify]: Simplify 0 into 0 16.885 * [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 16.886 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 16.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.889 * [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 16.889 * [backup-simplify]: Simplify 0 into 0 16.890 * [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 16.891 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 16.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 16.893 * [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 16.893 * [backup-simplify]: Simplify 0 into 0 16.894 * [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 16.895 * [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 16.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 16.897 * [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 16.897 * [backup-simplify]: Simplify 0 into 0 16.897 * [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))) 16.898 * * * [progress]: simplifying candidates 16.898 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 16.898 * * * * [progress]: [ 20 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 21 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 24 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 28 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 36 / 105 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (tan (/ x 2))))) x))> 16.899 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 40 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 42 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 44 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 45 / 105 ] simplifiying candidate # 16.899 * * * * [progress]: [ 46 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 51 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 54 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 58 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 59 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 64 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 66 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 67 / 105 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (tan (/ x 2))) x))> 16.900 * * * * [progress]: [ 68 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 70 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 71 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 72 / 105 ] simplifiying candidate # 16.900 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 74 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 75 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 81 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 92 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 93 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 96 / 105 ] simplifiying candidate #real (real->posit16 (/ (* (/ (sin x) x) (tan (/ x 2))) x))))> 16.901 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 16.901 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 16.902 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 16.902 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 16.902 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 16.902 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 16.902 * [simplify]: Simplifying: (expm1 (* (/ (sin x) x) (tan (/ x 2)))) (log1p (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2))) (+ (- (log (sin x)) (log x)) (log (tan (/ x 2)))) (+ (log (/ (sin x) x)) (log (tan (/ x 2)))) (log (* (/ (sin x) x) (tan (/ x 2)))) (exp (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (cbrt (* (/ (sin x) x) (tan (/ x 2)))) (cbrt (* (/ (sin x) x) (tan (/ x 2))))) (cbrt (* (/ (sin x) x) (tan (/ x 2)))) (* (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2)))) (sqrt (* (/ (sin x) x) (tan (/ x 2)))) (sqrt (* (/ (sin x) x) (tan (/ x 2)))) (* (sin x) (sin (/ x 2))) (* x (cos (/ x 2))) (* (sqrt (/ (sin x) x)) (sqrt (tan (/ x 2)))) (* (sqrt (/ (sin x) x)) (sqrt (tan (/ x 2)))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (sin x) x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (* (/ (sin x) x) (sqrt (tan (/ x 2)))) (* (/ (sin x) x) 1) (* (cbrt (/ (sin x) x)) (tan (/ x 2))) (* (sqrt (/ (sin x) x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) (cbrt x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) (sqrt x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) x) (tan (/ x 2))) (* (/ (sqrt (sin x)) (cbrt x)) (tan (/ x 2))) (* (/ (sqrt (sin x)) (sqrt x)) (tan (/ x 2))) (* (/ (sqrt (sin x)) x) (tan (/ x 2))) (* (/ (sin x) (cbrt x)) (tan (/ x 2))) (* (/ (sin x) (sqrt x)) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))) (* (/ 1 x) (tan (/ x 2))) (* (/ (sin x) x) (sin (/ x 2))) (* (sin x) (tan (/ x 2))) (real->posit16 (* (/ (sin x) x) (tan (/ x 2)))) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (- (log (sin x)) (log x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) (/ 1 1) (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (/ (sin x) 1) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (log1p (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (- (+ (- (log (sin x)) (log x)) (log (tan (/ x 2)))) (log x)) (- (+ (log (/ (sin x) x)) (log (tan (/ x 2)))) (log x)) (- (log (* (/ (sin x) x) (tan (/ x 2)))) (log 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) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* x x) x)) (/ (* (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2)))) (* (* x x) x)) (* (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x))) (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (* (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (sqrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (sqrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (- (* (/ (sin x) x) (tan (/ x 2)))) (- x) (/ (/ (sin x) x) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ (/ (sin x) x) (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) (/ (/ (sin x) x) 1) (/ (tan (/ x 2)) x) (/ 1 x) (/ x (* (/ (sin x) x) (tan (/ x 2)))) (/ (* (/ (sin x) x) (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (* (/ (sin x) x) (tan (/ x 2))) (sqrt x)) (/ (* (/ (sin x) x) (tan (/ x 2))) 1) (/ x (tan (/ x 2))) (* x (* x (cos (/ x 2)))) (* x (cos (/ x 2))) (* x x) (real->posit16 (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 16.904 * * [simplify]: iteration 1: (160 enodes) 16.945 * * [simplify]: iteration 2: (381 enodes) 17.112 * * [simplify]: iteration 3: (1334 enodes) 19.383 * * [simplify]: Extracting #0: cost 89 inf + 0 19.388 * * [simplify]: Extracting #1: cost 975 inf + 1 19.411 * * [simplify]: Extracting #2: cost 1879 inf + 5309 19.441 * * [simplify]: Extracting #3: cost 1532 inf + 71559 19.538 * * [simplify]: Extracting #4: cost 620 inf + 372780 19.724 * * [simplify]: Extracting #5: cost 23 inf + 598638 19.922 * * [simplify]: Extracting #6: cost 0 inf + 605402 20.087 * [simplify]: Simplified to: (expm1 (/ (tan (/ x 2)) (/ x (sin x)))) (log1p (/ (tan (/ x 2)) (/ x (sin x)))) (/ (tan (/ x 2)) (/ x (sin x))) (log (/ (tan (/ x 2)) (/ x (sin x)))) (log (/ (tan (/ x 2)) (/ x (sin x)))) (log (/ (tan (/ x 2)) (/ x (sin x)))) (exp (/ (tan (/ x 2)) (/ x (sin x)))) (* (* (/ (tan (/ x 2)) (/ x (sin x))) (/ (tan (/ x 2)) (/ x (sin x)))) (/ (tan (/ x 2)) (/ x (sin x)))) (* (* (/ (tan (/ x 2)) (/ x (sin x))) (/ (tan (/ x 2)) (/ x (sin x)))) (/ (tan (/ x 2)) (/ x (sin x)))) (* (cbrt (/ (tan (/ x 2)) (/ x (sin x)))) (cbrt (/ (tan (/ x 2)) (/ x (sin x))))) (cbrt (/ (tan (/ x 2)) (/ x (sin x)))) (* (* (/ (tan (/ x 2)) (/ x (sin x))) (/ (tan (/ x 2)) (/ x (sin x)))) (/ (tan (/ x 2)) (/ x (sin x)))) (sqrt (/ (tan (/ x 2)) (/ x (sin x)))) (sqrt (/ (tan (/ x 2)) (/ x (sin x)))) (* (sin x) (sin (/ x 2))) (* (cos (/ x 2)) x) (* (sqrt (tan (/ x 2))) (sqrt (/ (sin x) x))) (* (sqrt (tan (/ x 2))) (sqrt (/ (sin x) x))) (* (sqrt (tan (/ x 2))) (/ (sqrt (sin x)) (sqrt x))) (* (sqrt (tan (/ x 2))) (/ (sqrt (sin x)) (sqrt x))) (/ (* (* (sin x) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))) x) (* (/ (sin x) x) (sqrt (tan (/ x 2)))) (/ (sin x) x) (* (cbrt (/ (sin x) x)) (tan (/ x 2))) (* (tan (/ x 2)) (sqrt (/ (sin x) x))) (/ (* (tan (/ x 2)) (cbrt (sin x))) (cbrt x)) (* (/ (cbrt (sin x)) (sqrt x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) x) (tan (/ x 2))) (* (/ (sqrt (sin x)) (cbrt x)) (tan (/ x 2))) (* (tan (/ x 2)) (/ (sqrt (sin x)) (sqrt x))) (/ (* (tan (/ x 2)) (sqrt (sin x))) x) (* (tan (/ x 2)) (/ (sin x) (cbrt x))) (* (/ (sin x) (sqrt x)) (tan (/ x 2))) (/ (tan (/ x 2)) (/ x (sin x))) (/ (tan (/ x 2)) (/ x (sin x))) (/ (tan (/ x 2)) x) (* (/ (sin x) x) (sin (/ x 2))) (* (sin x) (tan (/ x 2))) (real->posit16 (/ (tan (/ x 2)) (/ x (sin 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)) (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 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log1p (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (/ (/ (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)) (* (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (/ (/ (tan (/ x 2)) (/ x (sin x))) x) (/ (/ (tan (/ x 2)) (/ x (sin x))) x)) (/ (/ (tan (/ x 2)) (/ x (sin x))) x)) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (tan (/ x 2)) (/ (- (sin x)) x)) (- x) (/ (/ (sin x) (* (cbrt x) (cbrt x))) x) (/ (tan (/ x 2)) (cbrt x)) (/ (sin x) (* (sqrt x) x)) (/ (tan (/ x 2)) (sqrt x)) (/ (sin x) x) (/ (tan (/ x 2)) x) (/ 1 x) (* (/ x (sin x)) (/ x (tan (/ x 2)))) (* (tan (/ x 2)) (/ (/ (sin x) (* (cbrt x) (cbrt x))) x)) (/ (* (sin x) (tan (/ x 2))) (* x (sqrt x))) (/ (tan (/ x 2)) (/ x (sin x))) (/ x (tan (/ x 2))) (* (* x x) (cos (/ x 2))) (* (cos (/ x 2)) x) (* x x) (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (fma (pow x 5) 1/720 (* x (- 1/2 (* (* x x) 1/24)))) (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) (fma (* x x) -1/6 (fma 1/120 (* (* x x) (* x x)) 1)) (/ (sin x) x) (/ (sin x) x) (fma (* x x) -1/24 (fma 1/720 (* (* x x) (* x x)) 1/2)) (/ (/ (sin (* 1/2 x)) x) (/ x (/ (sin x) (cos (* 1/2 x))))) (/ (/ (sin (* 1/2 x)) x) (/ x (/ (sin x) (cos (* 1/2 x))))) 20.096 * * * [progress]: adding candidates to table 20.897 * [progress]: [Phase 3 of 3] Extracting. 20.898 * * [regime]: Finding splitpoints for: (# # # # # #) 20.899 * * * [regime-changes]: Trying 1 branch expressions: (x) 20.900 * * * * [regimes]: Trying to branch on x from (# # # # # #) 20.954 * * * [regime]: Found split indices: #