17.982 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.152 * * * [progress]: [2/2] Setting up program. 0.156 * [progress]: [Phase 2 of 3] Improving. 0.156 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.157 * [simplify]: Simplifying: (/ (- 1 (cos x)) (* x x)) 0.157 * * [simplify]: iteration 1: (6 enodes) 0.161 * * [simplify]: iteration 2: (13 enodes) 0.166 * * [simplify]: iteration 3: (21 enodes) 0.173 * * [simplify]: iteration 4: (26 enodes) 0.183 * * [simplify]: iteration 5: (28 enodes) 0.192 * * [simplify]: Extracting #0: cost 1 inf + 0 0.192 * * [simplify]: Extracting #1: cost 8 inf + 0 0.192 * * [simplify]: Extracting #2: cost 12 inf + 42 0.192 * * [simplify]: Extracting #3: cost 6 inf + 588 0.193 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.194 * [simplify]: Simplified to: (/ (- 1 (cos x)) (* x x)) 0.199 * * [progress]: iteration 1 / 4 0.199 * * * [progress]: picking best candidate 0.203 * * * * [pick]: Picked # 0.203 * * * [progress]: localizing error 0.227 * * * [progress]: generating rewritten candidates 0.227 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.284 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.293 * * * [progress]: generating series expansions 0.293 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.297 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2)) 0.298 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.298 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.298 * [taylor]: Taking taylor expansion of 1 in x 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [taylor]: Taking taylor expansion of (cos x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (- 1) into -1 0.300 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.301 * [backup-simplify]: Simplify (+ 0) into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.302 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.303 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.303 * [backup-simplify]: Simplify (* 1 1) into 1 0.303 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.303 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.303 * [taylor]: Taking taylor expansion of 1 in x 0.303 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of (cos x) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (- 1) into -1 0.304 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.304 * [backup-simplify]: Simplify (+ 0) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.306 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.306 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.306 * [backup-simplify]: Simplify (* 1 1) into 1 0.307 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.307 * [backup-simplify]: Simplify 1/2 into 1/2 0.308 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.311 * [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 0.311 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.312 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.313 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.313 * [backup-simplify]: Simplify -1/24 into -1/24 0.314 * [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 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.319 * [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 0.319 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.320 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.322 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.322 * [backup-simplify]: Simplify 1/720 into 1/720 0.324 * [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))) 0.324 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.324 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 0.325 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.325 * [taylor]: Taking taylor expansion of 1 in x 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.327 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.327 * [taylor]: Taking taylor expansion of 1 in x 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.328 * [backup-simplify]: Simplify (* 1 1) into 1 0.329 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.329 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.329 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.329 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) 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 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.350 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.350 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.350 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.350 * [taylor]: Taking taylor expansion of 1 in x 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.350 * [taylor]: Taking taylor expansion of -1 in x 0.350 * [backup-simplify]: Simplify -1 into -1 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (/ -1 1) into -1 0.350 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.350 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.351 * [taylor]: Taking taylor expansion of 1 in x 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.351 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.351 * [taylor]: Taking taylor expansion of -1 in x 0.351 * [backup-simplify]: Simplify -1 into -1 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (/ -1 1) into -1 0.351 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.352 * [backup-simplify]: Simplify (* 1 1) into 1 0.352 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.352 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.352 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.352 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.370 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.370 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.370 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.370 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.370 * [taylor]: Taking taylor expansion of 1 in x 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [taylor]: Taking taylor expansion of (cos x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.370 * [taylor]: Taking taylor expansion of 1 in x 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [taylor]: Taking taylor expansion of (cos x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (- 1) into -1 0.371 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (+ 0) into 0 0.371 * [backup-simplify]: Simplify (- 0) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.373 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.373 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.373 * [backup-simplify]: Simplify 1/2 into 1/2 0.375 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.378 * [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 0.378 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.379 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.379 * [backup-simplify]: Simplify -1/24 into -1/24 0.381 * [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 0.381 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.387 * [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 0.388 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.388 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.388 * [backup-simplify]: Simplify 1/720 into 1/720 0.388 * [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))) 0.389 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.389 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.389 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.389 * [taylor]: Taking taylor expansion of 1 in x 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.390 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.390 * [taylor]: Taking taylor expansion of 1 in x 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.390 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.391 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.391 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.396 * [backup-simplify]: Simplify (- 0) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (- 0) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (- 0) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (- 0) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (- 0) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (- 0) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.401 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.401 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.401 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.401 * [taylor]: Taking taylor expansion of 1 in x 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.401 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.401 * [taylor]: Taking taylor expansion of -1 in x 0.401 * [backup-simplify]: Simplify -1 into -1 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (/ -1 1) into -1 0.401 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.401 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.401 * [taylor]: Taking taylor expansion of 1 in x 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.401 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.401 * [taylor]: Taking taylor expansion of -1 in x 0.402 * [backup-simplify]: Simplify -1 into -1 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (/ -1 1) into -1 0.402 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.402 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.402 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.402 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (- 0) into 0 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (- 0) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.407 * * * [progress]: simplifying candidates 0.407 * * * * [progress]: [ 1 / 69 ] simplifiying candidate # 0.407 * * * * [progress]: [ 2 / 69 ] simplifiying candidate # 0.407 * * * * [progress]: [ 3 / 69 ] simplifiying candidate # 0.407 * * * * [progress]: [ 4 / 69 ] simplifiying candidate # 0.407 * * * * [progress]: [ 5 / 69 ] simplifiying candidate # 0.407 * * * * [progress]: [ 6 / 69 ] simplifiying candidate # 0.407 * * * * [progress]: [ 7 / 69 ] simplifiying candidate # 0.407 * * * * [progress]: [ 8 / 69 ] simplifiying candidate # 0.407 * * * * [progress]: [ 9 / 69 ] simplifiying candidate # 0.407 * * * * [progress]: [ 10 / 69 ] simplifiying candidate # 0.407 * * * * [progress]: [ 11 / 69 ] simplifiying candidate # 0.407 * * * * [progress]: [ 12 / 69 ] simplifiying candidate # 0.407 * * * * [progress]: [ 13 / 69 ] simplifiying candidate # 0.407 * * * * [progress]: [ 14 / 69 ] simplifiying candidate # 0.407 * * * * [progress]: [ 15 / 69 ] simplifiying candidate # 0.408 * * * * [progress]: [ 16 / 69 ] simplifiying candidate # 0.408 * * * * [progress]: [ 17 / 69 ] simplifiying candidate # 0.408 * * * * [progress]: [ 18 / 69 ] simplifiying candidate # 0.408 * * * * [progress]: [ 19 / 69 ] simplifiying candidate # 0.408 * * * * [progress]: [ 20 / 69 ] simplifiying candidate # 0.408 * * * * [progress]: [ 21 / 69 ] simplifiying candidate # 0.408 * * * * [progress]: [ 22 / 69 ] simplifiying candidate # 0.408 * * * * [progress]: [ 23 / 69 ] simplifiying candidate # 0.408 * * * * [progress]: [ 24 / 69 ] simplifiying candidate # 0.408 * * * * [progress]: [ 25 / 69 ] simplifiying candidate # 0.408 * * * * [progress]: [ 26 / 69 ] simplifiying candidate # 0.408 * * * * [progress]: [ 27 / 69 ] simplifiying candidate # 0.408 * * * * [progress]: [ 28 / 69 ] simplifiying candidate # 0.408 * * * * [progress]: [ 29 / 69 ] simplifiying candidate # 0.408 * * * * [progress]: [ 30 / 69 ] simplifiying candidate # 0.408 * * * * [progress]: [ 31 / 69 ] simplifiying candidate # 0.408 * * * * [progress]: [ 32 / 69 ] simplifiying candidate # 0.409 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.409 * * * * [progress]: [ 34 / 69 ] simplifiying candidate # 0.409 * * * * [progress]: [ 35 / 69 ] simplifiying candidate # 0.409 * * * * [progress]: [ 36 / 69 ] simplifiying candidate # 0.409 * * * * [progress]: [ 37 / 69 ] simplifiying candidate # 0.409 * * * * [progress]: [ 38 / 69 ] simplifiying candidate # 0.409 * * * * [progress]: [ 39 / 69 ] simplifiying candidate # 0.409 * * * * [progress]: [ 40 / 69 ] simplifiying candidate # 0.409 * * * * [progress]: [ 41 / 69 ] simplifiying candidate # 0.409 * * * * [progress]: [ 42 / 69 ] simplifiying candidate # 0.409 * * * * [progress]: [ 43 / 69 ] simplifiying candidate # 0.409 * * * * [progress]: [ 44 / 69 ] simplifiying candidate # 0.409 * * * * [progress]: [ 45 / 69 ] simplifiying candidate # 0.409 * * * * [progress]: [ 46 / 69 ] simplifiying candidate # 0.409 * * * * [progress]: [ 47 / 69 ] simplifiying candidate # 0.410 * * * * [progress]: [ 48 / 69 ] simplifiying candidate # 0.410 * * * * [progress]: [ 49 / 69 ] simplifiying candidate # 0.410 * * * * [progress]: [ 50 / 69 ] simplifiying candidate # 0.410 * * * * [progress]: [ 51 / 69 ] simplifiying candidate # 0.410 * * * * [progress]: [ 52 / 69 ] simplifiying candidate # 0.410 * * * * [progress]: [ 53 / 69 ] simplifiying candidate # 0.410 * * * * [progress]: [ 54 / 69 ] simplifiying candidate # 0.410 * * * * [progress]: [ 55 / 69 ] simplifiying candidate # 0.410 * * * * [progress]: [ 56 / 69 ] simplifiying candidate # 0.410 * * * * [progress]: [ 57 / 69 ] simplifiying candidate # 0.410 * * * * [progress]: [ 58 / 69 ] simplifiying candidate # 0.410 * * * * [progress]: [ 59 / 69 ] simplifiying candidate # 0.410 * * * * [progress]: [ 60 / 69 ] simplifiying candidate # 0.410 * * * * [progress]: [ 61 / 69 ] simplifiying candidate # 0.410 * * * * [progress]: [ 62 / 69 ] simplifiying candidate # 0.410 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.410 * * * * [progress]: [ 64 / 69 ] simplifiying candidate # 0.410 * * * * [progress]: [ 65 / 69 ] simplifiying candidate # 0.411 * * * * [progress]: [ 66 / 69 ] simplifiying candidate # 0.411 * * * * [progress]: [ 67 / 69 ] simplifiying candidate # 0.411 * * * * [progress]: [ 68 / 69 ] simplifiying candidate # 0.411 * * * * [progress]: [ 69 / 69 ] simplifiying candidate # 0.412 * [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)) 0.414 * * [simplify]: iteration 1: (121 enodes) 0.472 * * [simplify]: iteration 2: (288 enodes) 0.580 * * [simplify]: iteration 3: (858 enodes) 2.207 * * [simplify]: Extracting #0: cost 47 inf + 0 2.209 * * [simplify]: Extracting #1: cost 342 inf + 0 2.215 * * [simplify]: Extracting #2: cost 662 inf + 9093 2.231 * * [simplify]: Extracting #3: cost 494 inf + 43484 2.280 * * [simplify]: Extracting #4: cost 102 inf + 133892 2.335 * * [simplify]: Extracting #5: cost 1 inf + 157929 2.369 * * [simplify]: Extracting #6: cost 0 inf + 158241 2.418 * [simplify]: Simplified to: (expm1 (/ (/ (- 1 (cos x)) x) x)) (log1p (/ (/ (- 1 (cos x)) x) x)) (log (/ (/ (- 1 (cos x)) x) x)) (log (/ (/ (- 1 (cos x)) x) x)) (log (/ (/ (- 1 (cos x)) x) x)) (exp (/ (/ (- 1 (cos x)) x) x)) (* (/ (/ (- 1 (cos x)) x) x) (* (/ (/ (- 1 (cos x)) x) x) (/ (/ (- 1 (cos x)) x) x))) (* (/ (/ (- 1 (cos x)) x) x) (* (/ (/ (- 1 (cos x)) x) x) (/ (/ (- 1 (cos x)) x) x))) (* (cbrt (/ (/ (- 1 (cos x)) x) x)) (cbrt (/ (/ (- 1 (cos x)) x) x))) (cbrt (/ (/ (- 1 (cos x)) x) x)) (* (/ (/ (- 1 (cos x)) x) x) (* (/ (/ (- 1 (cos x)) x) x) (/ (/ (- 1 (cos x)) x) x))) (sqrt (/ (/ (- 1 (cos x)) x) x)) (sqrt (/ (/ (- 1 (cos x)) x) x)) (- (- 1 (cos x))) (* (- x) x) (/ (/ 1 x) x) (/ (cos x) (* x x)) (* (/ (cbrt (- 1 (cos x))) x) (cbrt (- 1 (cos x)))) (/ (cbrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (+ (sqrt (cos x)) 1) x) (/ (- 1 (sqrt (cos x))) x) (/ (+ (sqrt (cos x)) 1) x) (/ (- 1 (sqrt (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (/ 1 x) x) (/ (* x x) (- 1 (cos x))) (/ (- 1 (cos x)) x) (* (/ x (cbrt (- 1 (cos x)))) x) (/ (* x x) (sqrt (- 1 (cos x)))) (/ (* x x) (- 1 (cos x))) (* (/ x (- 1 (sqrt (cos x)))) x) (* (/ x (- 1 (sqrt (cos x)))) x) (/ (* x x) (- 1 (cos x))) (fma (fma (cos x) (cos x) (cos x)) (* x x) (* x x)) (* x (fma x (cos x) x)) (real->posit16 (/ (/ (- 1 (cos x)) x) x)) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ E (exp (cos x))) (log (- 1 (cos x))) (/ E (exp (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (- 1 (cos x)) (* (- 1 (cos x)) (- 1 (cos x)))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- 1 (* (cos x) (* (cos x) (cos x)))) (fma (cos x) (+ (cos x) 1) 1) (- (cos x)) (* (sin x) (sin x)) (+ (cos x) 1) (+ (sqrt (cos x)) 1) (- 1 (sqrt (cos x))) (+ (sqrt (cos x)) 1) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (real->posit16 (- 1 (cos x))) (fma (* x x) -1/24 (fma (* x x) (* 1/720 (* x x)) 1/2)) (/ (/ (- 1 (cos x)) x) x) (/ (/ (- 1 (cos x)) x) x) (fma -1/24 (* (* x x) (* x x)) (fma 1/720 (* (* (* x x) (* x x)) (* x x)) (* 1/2 (* x x)))) (- 1 (cos x)) (- 1 (cos x)) 2.424 * * * [progress]: adding candidates to table 3.072 * * [progress]: iteration 2 / 4 3.072 * * * [progress]: picking best candidate 3.100 * * * * [pick]: Picked # 3.100 * * * [progress]: localizing error 3.136 * * * [progress]: generating rewritten candidates 3.136 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.162 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.171 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.197 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.232 * * * [progress]: generating series expansions 3.232 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.234 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 3.234 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 3.234 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 3.234 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.234 * [taylor]: Taking taylor expansion of (sin x) in x 3.234 * [taylor]: Taking taylor expansion of x in x 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 1 into 1 3.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.236 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 3.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.236 * [taylor]: Taking taylor expansion of x in x 3.236 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify 1 into 1 3.236 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.236 * [taylor]: Taking taylor expansion of (cos x) in x 3.236 * [taylor]: Taking taylor expansion of x in x 3.236 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify 1 into 1 3.236 * [taylor]: Taking taylor expansion of 1 in x 3.236 * [backup-simplify]: Simplify 1 into 1 3.237 * [backup-simplify]: Simplify (* 1 1) into 1 3.237 * [backup-simplify]: Simplify (* 1 1) into 1 3.237 * [backup-simplify]: Simplify (+ 1 1) into 2 3.238 * [backup-simplify]: Simplify (* 1 2) into 2 3.238 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.238 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 3.238 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.239 * [taylor]: Taking taylor expansion of (sin x) in x 3.239 * [taylor]: Taking taylor expansion of x in x 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify 1 into 1 3.239 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.239 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 3.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.239 * [taylor]: Taking taylor expansion of x in x 3.239 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.240 * [taylor]: Taking taylor expansion of (cos x) in x 3.240 * [taylor]: Taking taylor expansion of x in x 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [taylor]: Taking taylor expansion of 1 in x 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [backup-simplify]: Simplify (* 1 1) into 1 3.241 * [backup-simplify]: Simplify (* 1 1) into 1 3.241 * [backup-simplify]: Simplify (+ 1 1) into 2 3.241 * [backup-simplify]: Simplify (* 1 2) into 2 3.242 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.242 * [backup-simplify]: Simplify 1/2 into 1/2 3.243 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.244 * [backup-simplify]: Simplify (+ 0) into 0 3.244 * [backup-simplify]: Simplify (+ 0 0) into 0 3.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 3.246 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 3.246 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.249 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 3.250 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.251 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.253 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 3.254 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 3.254 * [backup-simplify]: Simplify -1/24 into -1/24 3.256 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 3.259 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.260 * [backup-simplify]: Simplify (+ 0 0) into 0 3.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 3.264 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 3.264 * [backup-simplify]: Simplify 0 into 0 3.268 * [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 3.270 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 3.273 * [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 3.274 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 3.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.278 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 3.281 * [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 3.281 * [backup-simplify]: Simplify 1/720 into 1/720 3.281 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 3.282 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) 3.282 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 3.282 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 3.282 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 3.282 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.282 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.282 * [taylor]: Taking taylor expansion of x in x 3.282 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify 1 into 1 3.283 * [backup-simplify]: Simplify (/ 1 1) into 1 3.283 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.283 * [taylor]: Taking taylor expansion of x in x 3.283 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify 1 into 1 3.283 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.283 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.283 * [taylor]: Taking taylor expansion of x in x 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 1 into 1 3.284 * [backup-simplify]: Simplify (/ 1 1) into 1 3.285 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.285 * [taylor]: Taking taylor expansion of 1 in x 3.285 * [backup-simplify]: Simplify 1 into 1 3.285 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.285 * [backup-simplify]: Simplify (* 1 1) into 1 3.285 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 3.286 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.286 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.286 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 3.286 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 3.286 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.290 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.290 * [taylor]: Taking taylor expansion of x in x 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 1 into 1 3.291 * [backup-simplify]: Simplify (/ 1 1) into 1 3.291 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.291 * [taylor]: Taking taylor expansion of x in x 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 1 into 1 3.291 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.291 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.292 * [taylor]: Taking taylor expansion of x in x 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [backup-simplify]: Simplify (/ 1 1) into 1 3.292 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.292 * [taylor]: Taking taylor expansion of 1 in x 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.293 * [backup-simplify]: Simplify (* 1 1) into 1 3.293 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 3.293 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.293 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.294 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.295 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 3.295 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 3.296 * [backup-simplify]: Simplify (+ 0 0) into 0 3.296 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.296 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.298 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 3.298 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.299 * [backup-simplify]: Simplify (+ 0 0) into 0 3.299 * [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 3.299 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.302 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 3.303 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.304 * [backup-simplify]: Simplify (+ 0 0) into 0 3.305 * [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 3.305 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.308 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 3.309 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.310 * [backup-simplify]: Simplify (+ 0 0) into 0 3.311 * [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 3.311 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.314 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 3.315 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.316 * [backup-simplify]: Simplify (+ 0 0) into 0 3.316 * [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 3.316 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.321 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 3.322 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.323 * [backup-simplify]: Simplify (+ 0 0) into 0 3.324 * [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 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [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))) 3.325 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) 3.325 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 3.325 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 3.325 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 3.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.325 * [taylor]: Taking taylor expansion of x in x 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 1 into 1 3.325 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.325 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.325 * [taylor]: Taking taylor expansion of -1 in x 3.325 * [backup-simplify]: Simplify -1 into -1 3.325 * [taylor]: Taking taylor expansion of x in x 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 1 into 1 3.325 * [backup-simplify]: Simplify (/ -1 1) into -1 3.326 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.326 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.326 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.326 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.326 * [taylor]: Taking taylor expansion of -1 in x 3.326 * [backup-simplify]: Simplify -1 into -1 3.326 * [taylor]: Taking taylor expansion of x in x 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 1 into 1 3.326 * [backup-simplify]: Simplify (/ -1 1) into -1 3.326 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.326 * [taylor]: Taking taylor expansion of 1 in x 3.326 * [backup-simplify]: Simplify 1 into 1 3.327 * [backup-simplify]: Simplify (* 1 1) into 1 3.327 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.327 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 3.327 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.327 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.327 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 3.327 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 3.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.327 * [taylor]: Taking taylor expansion of x in x 3.327 * [backup-simplify]: Simplify 0 into 0 3.327 * [backup-simplify]: Simplify 1 into 1 3.328 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.328 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.328 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.328 * [taylor]: Taking taylor expansion of -1 in x 3.328 * [backup-simplify]: Simplify -1 into -1 3.328 * [taylor]: Taking taylor expansion of x in x 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 1 into 1 3.328 * [backup-simplify]: Simplify (/ -1 1) into -1 3.328 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.328 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.328 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.328 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.328 * [taylor]: Taking taylor expansion of -1 in x 3.328 * [backup-simplify]: Simplify -1 into -1 3.328 * [taylor]: Taking taylor expansion of x in x 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 1 into 1 3.329 * [backup-simplify]: Simplify (/ -1 1) into -1 3.329 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.329 * [taylor]: Taking taylor expansion of 1 in x 3.329 * [backup-simplify]: Simplify 1 into 1 3.329 * [backup-simplify]: Simplify (* 1 1) into 1 3.330 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.330 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 3.330 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.330 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.330 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.330 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 3.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 3.332 * [backup-simplify]: Simplify (+ 0 0) into 0 3.332 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 3.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 3.335 * [backup-simplify]: Simplify (+ 0 0) into 0 3.336 * [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 3.336 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 3.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 3.339 * [backup-simplify]: Simplify (+ 0 0) into 0 3.340 * [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 3.340 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 3.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 3.345 * [backup-simplify]: Simplify (+ 0 0) into 0 3.345 * [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 3.345 * [backup-simplify]: Simplify 0 into 0 3.347 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 3.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 3.351 * [backup-simplify]: Simplify (+ 0 0) into 0 3.352 * [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 3.352 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 3.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 3.358 * [backup-simplify]: Simplify (+ 0 0) into 0 3.359 * [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 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [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))) 3.359 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.360 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 3.360 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 3.360 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.360 * [taylor]: Taking taylor expansion of (cos x) in x 3.360 * [taylor]: Taking taylor expansion of x in x 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [taylor]: Taking taylor expansion of 1 in x 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.360 * [taylor]: Taking taylor expansion of (cos x) in x 3.360 * [taylor]: Taking taylor expansion of x in x 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [taylor]: Taking taylor expansion of 1 in x 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [backup-simplify]: Simplify (+ 1 1) into 2 3.361 * [backup-simplify]: Simplify 2 into 2 3.361 * [backup-simplify]: Simplify (+ 0) into 0 3.361 * [backup-simplify]: Simplify (+ 0 0) into 0 3.361 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.363 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.363 * [backup-simplify]: Simplify -1/2 into -1/2 3.364 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.364 * [backup-simplify]: Simplify (+ 0 0) into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.367 * [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 3.368 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 3.368 * [backup-simplify]: Simplify 1/24 into 1/24 3.368 * [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))) 3.368 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 3.368 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 3.368 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.368 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.368 * [taylor]: Taking taylor expansion of x in x 3.368 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [backup-simplify]: Simplify (/ 1 1) into 1 3.369 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.369 * [taylor]: Taking taylor expansion of 1 in x 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.369 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.369 * [taylor]: Taking taylor expansion of x in x 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (/ 1 1) into 1 3.370 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.370 * [taylor]: Taking taylor expansion of 1 in x 3.370 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.370 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.370 * [backup-simplify]: Simplify (+ 0 0) into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify (+ 0 0) into 0 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify (+ 0 0) into 0 3.371 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify (+ 0 0) into 0 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify (+ 0 0) into 0 3.372 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify (+ 0 0) into 0 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 3.373 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 3.373 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 3.373 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.373 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.373 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.373 * [taylor]: Taking taylor expansion of -1 in x 3.373 * [backup-simplify]: Simplify -1 into -1 3.373 * [taylor]: Taking taylor expansion of x in x 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify 1 into 1 3.374 * [backup-simplify]: Simplify (/ -1 1) into -1 3.374 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.374 * [taylor]: Taking taylor expansion of 1 in x 3.374 * [backup-simplify]: Simplify 1 into 1 3.374 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.374 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.374 * [taylor]: Taking taylor expansion of -1 in x 3.374 * [backup-simplify]: Simplify -1 into -1 3.374 * [taylor]: Taking taylor expansion of x in x 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 1 into 1 3.374 * [backup-simplify]: Simplify (/ -1 1) into -1 3.375 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.375 * [taylor]: Taking taylor expansion of 1 in x 3.375 * [backup-simplify]: Simplify 1 into 1 3.375 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.375 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.375 * [backup-simplify]: Simplify (+ 0 0) into 0 3.375 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify (+ 0 0) into 0 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify (+ 0 0) into 0 3.376 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify (+ 0 0) into 0 3.377 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify (+ 0 0) into 0 3.377 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify (+ 0 0) into 0 3.377 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 3.378 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.378 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 3.378 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 3.378 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.378 * [taylor]: Taking taylor expansion of (sin x) in x 3.378 * [taylor]: Taking taylor expansion of x in x 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 1 into 1 3.379 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.379 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.379 * [taylor]: Taking taylor expansion of (sin x) in x 3.379 * [taylor]: Taking taylor expansion of x in x 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify 1 into 1 3.380 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.380 * [backup-simplify]: Simplify (* 1 1) into 1 3.380 * [backup-simplify]: Simplify 1 into 1 3.381 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.382 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.384 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 3.384 * [backup-simplify]: Simplify -1/3 into -1/3 3.386 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.389 * [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 3.390 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 3.390 * [backup-simplify]: Simplify 2/45 into 2/45 3.391 * [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))) 3.391 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.391 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 3.391 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.391 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.391 * [taylor]: Taking taylor expansion of x in x 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 1 into 1 3.391 * [backup-simplify]: Simplify (/ 1 1) into 1 3.391 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.391 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.391 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.391 * [taylor]: Taking taylor expansion of x in x 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 1 into 1 3.392 * [backup-simplify]: Simplify (/ 1 1) into 1 3.392 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.392 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.392 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 3.392 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 3.392 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 3.393 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 3.394 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 3.395 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 3.396 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 3.396 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 3.396 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.396 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.396 * [taylor]: Taking taylor expansion of -1 in x 3.396 * [backup-simplify]: Simplify -1 into -1 3.396 * [taylor]: Taking taylor expansion of x in x 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify 1 into 1 3.396 * [backup-simplify]: Simplify (/ -1 1) into -1 3.396 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.396 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.396 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.396 * [taylor]: Taking taylor expansion of -1 in x 3.396 * [backup-simplify]: Simplify -1 into -1 3.396 * [taylor]: Taking taylor expansion of x in x 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 1 into 1 3.397 * [backup-simplify]: Simplify (/ -1 1) into -1 3.397 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.397 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.397 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 3.397 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 3.399 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 3.400 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 3.401 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.401 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 3.401 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 3.401 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 3.401 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.401 * [taylor]: Taking taylor expansion of (sin x) in x 3.401 * [taylor]: Taking taylor expansion of x in x 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify 1 into 1 3.402 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.402 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.402 * [taylor]: Taking taylor expansion of (cos x) in x 3.402 * [taylor]: Taking taylor expansion of x in x 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 1 into 1 3.402 * [taylor]: Taking taylor expansion of 1 in x 3.402 * [backup-simplify]: Simplify 1 into 1 3.402 * [backup-simplify]: Simplify (* 1 1) into 1 3.402 * [backup-simplify]: Simplify (+ 1 1) into 2 3.403 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.403 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 3.403 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.403 * [taylor]: Taking taylor expansion of (sin x) in x 3.403 * [taylor]: Taking taylor expansion of x in x 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 1 into 1 3.403 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.403 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.403 * [taylor]: Taking taylor expansion of (cos x) in x 3.403 * [taylor]: Taking taylor expansion of x in x 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 1 into 1 3.403 * [taylor]: Taking taylor expansion of 1 in x 3.403 * [backup-simplify]: Simplify 1 into 1 3.404 * [backup-simplify]: Simplify (* 1 1) into 1 3.404 * [backup-simplify]: Simplify (+ 1 1) into 2 3.404 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.404 * [backup-simplify]: Simplify 1/2 into 1/2 3.405 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.405 * [backup-simplify]: Simplify (+ 0) into 0 3.406 * [backup-simplify]: Simplify (+ 0 0) into 0 3.406 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 3.406 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.408 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 3.408 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.409 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.409 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 3.409 * [backup-simplify]: Simplify -1/24 into -1/24 3.410 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 3.412 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.412 * [backup-simplify]: Simplify (+ 0 0) into 0 3.413 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 3.413 * [backup-simplify]: Simplify 0 into 0 3.415 * [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 3.416 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 3.419 * [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 3.420 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 3.421 * [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 3.421 * [backup-simplify]: Simplify 1/720 into 1/720 3.421 * [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))) 3.422 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.422 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 3.422 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 3.422 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.422 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.422 * [taylor]: Taking taylor expansion of x in x 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify 1 into 1 3.422 * [backup-simplify]: Simplify (/ 1 1) into 1 3.422 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.422 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.422 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.422 * [taylor]: Taking taylor expansion of x in x 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify 1 into 1 3.422 * [backup-simplify]: Simplify (/ 1 1) into 1 3.422 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.423 * [taylor]: Taking taylor expansion of 1 in x 3.423 * [backup-simplify]: Simplify 1 into 1 3.423 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.423 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.423 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.423 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 3.423 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.423 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.423 * [taylor]: Taking taylor expansion of x in x 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify 1 into 1 3.423 * [backup-simplify]: Simplify (/ 1 1) into 1 3.423 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.423 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.423 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.423 * [taylor]: Taking taylor expansion of x in x 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify 1 into 1 3.424 * [backup-simplify]: Simplify (/ 1 1) into 1 3.424 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.424 * [taylor]: Taking taylor expansion of 1 in x 3.424 * [backup-simplify]: Simplify 1 into 1 3.424 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.424 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.424 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.424 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.424 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 3.425 * [backup-simplify]: Simplify (+ 0 0) into 0 3.425 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 3.425 * [backup-simplify]: Simplify (+ 0 0) into 0 3.426 * [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 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 3.427 * [backup-simplify]: Simplify (+ 0 0) into 0 3.427 * [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 3.427 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 3.428 * [backup-simplify]: Simplify (+ 0 0) into 0 3.428 * [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 3.428 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 3.430 * [backup-simplify]: Simplify (+ 0 0) into 0 3.430 * [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 3.430 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 3.432 * [backup-simplify]: Simplify (+ 0 0) into 0 3.432 * [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 3.432 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 3.433 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.433 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 3.433 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 3.433 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.433 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.433 * [taylor]: Taking taylor expansion of -1 in x 3.433 * [backup-simplify]: Simplify -1 into -1 3.433 * [taylor]: Taking taylor expansion of x in x 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify 1 into 1 3.433 * [backup-simplify]: Simplify (/ -1 1) into -1 3.433 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.433 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.433 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.433 * [taylor]: Taking taylor expansion of -1 in x 3.433 * [backup-simplify]: Simplify -1 into -1 3.433 * [taylor]: Taking taylor expansion of x in x 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify 1 into 1 3.434 * [backup-simplify]: Simplify (/ -1 1) into -1 3.434 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.434 * [taylor]: Taking taylor expansion of 1 in x 3.434 * [backup-simplify]: Simplify 1 into 1 3.434 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.434 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.434 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.434 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 3.434 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.434 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.434 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.434 * [taylor]: Taking taylor expansion of -1 in x 3.434 * [backup-simplify]: Simplify -1 into -1 3.434 * [taylor]: Taking taylor expansion of x in x 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 1 into 1 3.435 * [backup-simplify]: Simplify (/ -1 1) into -1 3.435 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.435 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.435 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.435 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.435 * [taylor]: Taking taylor expansion of -1 in x 3.435 * [backup-simplify]: Simplify -1 into -1 3.435 * [taylor]: Taking taylor expansion of x in x 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify 1 into 1 3.435 * [backup-simplify]: Simplify (/ -1 1) into -1 3.435 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.435 * [taylor]: Taking taylor expansion of 1 in x 3.435 * [backup-simplify]: Simplify 1 into 1 3.435 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.435 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.435 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.436 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.436 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 3.436 * [backup-simplify]: Simplify (+ 0 0) into 0 3.436 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.436 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 3.437 * [backup-simplify]: Simplify (+ 0 0) into 0 3.437 * [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 3.437 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 3.438 * [backup-simplify]: Simplify (+ 0 0) into 0 3.438 * [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 3.438 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 3.439 * [backup-simplify]: Simplify (+ 0 0) into 0 3.440 * [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 3.440 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 3.441 * [backup-simplify]: Simplify (+ 0 0) into 0 3.441 * [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 3.441 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 3.443 * [backup-simplify]: Simplify (+ 0 0) into 0 3.443 * [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 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 3.443 * * * [progress]: simplifying candidates 3.443 * * * * [progress]: [ 1 / 138 ] simplifiying candidate # 3.443 * * * * [progress]: [ 2 / 138 ] simplifiying candidate # 3.443 * * * * [progress]: [ 3 / 138 ] simplifiying candidate # 3.443 * * * * [progress]: [ 4 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 5 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 6 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 7 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 8 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 9 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 10 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 11 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 12 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 13 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 14 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 15 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 16 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 17 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 18 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 19 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 20 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 21 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 22 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 23 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 24 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 25 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 26 / 138 ] simplifiying candidate # 3.444 * * * * [progress]: [ 27 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 28 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 29 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 30 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 31 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 32 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 33 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 34 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 35 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 36 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 37 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 38 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 39 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 40 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 41 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 42 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 43 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 44 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 45 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 46 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 47 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 3.445 * * * * [progress]: [ 49 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 50 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 51 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 52 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 53 / 138 ] simplifiying candidate # 3.445 * * * * [progress]: [ 54 / 138 ] simplifiying candidate # 3.446 * * * * [progress]: [ 55 / 138 ] simplifiying candidate # 3.446 * * * * [progress]: [ 56 / 138 ] simplifiying candidate # 3.446 * * * * [progress]: [ 57 / 138 ] simplifiying candidate # 3.446 * * * * [progress]: [ 58 / 138 ] simplifiying candidate # 3.446 * * * * [progress]: [ 59 / 138 ] simplifiying candidate # 3.446 * * * * [progress]: [ 60 / 138 ] simplifiying candidate # 3.446 * * * * [progress]: [ 61 / 138 ] simplifiying candidate # 3.446 * * * * [progress]: [ 62 / 138 ] simplifiying candidate # 3.446 * * * * [progress]: [ 63 / 138 ] simplifiying candidate # 3.446 * * * * [progress]: [ 64 / 138 ] simplifiying candidate # 3.446 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 3.446 * * * * [progress]: [ 66 / 138 ] simplifiying candidate # 3.446 * * * * [progress]: [ 67 / 138 ] simplifiying candidate # 3.447 * * * * [progress]: [ 68 / 138 ] simplifiying candidate # 3.447 * * * * [progress]: [ 69 / 138 ] simplifiying candidate # 3.447 * * * * [progress]: [ 70 / 138 ] simplifiying candidate # 3.447 * * * * [progress]: [ 71 / 138 ] simplifiying candidate # 3.447 * * * * [progress]: [ 72 / 138 ] simplifiying candidate # 3.447 * * * * [progress]: [ 73 / 138 ] simplifiying candidate # 3.447 * * * * [progress]: [ 74 / 138 ] simplifiying candidate # 3.447 * * * * [progress]: [ 75 / 138 ] simplifiying candidate # 3.447 * * * * [progress]: [ 76 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 77 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 78 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 79 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 80 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 81 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 82 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 83 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 84 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 85 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 86 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 87 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 88 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 89 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 90 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 91 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 92 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 93 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 94 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 3.448 * * * * [progress]: [ 96 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 97 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 98 / 138 ] simplifiying candidate # 3.448 * * * * [progress]: [ 99 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 100 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 101 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 102 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 103 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 104 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 105 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 106 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 107 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 108 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 109 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 110 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 111 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 112 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 113 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 114 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 115 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 116 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 117 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 118 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 119 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 120 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 121 / 138 ] simplifiying candidate # 3.449 * * * * [progress]: [ 122 / 138 ] simplifiying candidate # 3.450 * * * * [progress]: [ 123 / 138 ] simplifiying candidate # 3.450 * * * * [progress]: [ 124 / 138 ] simplifiying candidate # 3.450 * * * * [progress]: [ 125 / 138 ] simplifiying candidate # 3.450 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 3.450 * * * * [progress]: [ 127 / 138 ] simplifiying candidate # 3.450 * * * * [progress]: [ 128 / 138 ] simplifiying candidate # 3.450 * * * * [progress]: [ 129 / 138 ] simplifiying candidate # 3.450 * * * * [progress]: [ 130 / 138 ] simplifiying candidate # 3.450 * * * * [progress]: [ 131 / 138 ] simplifiying candidate # 3.450 * * * * [progress]: [ 132 / 138 ] simplifiying candidate # 3.450 * * * * [progress]: [ 133 / 138 ] simplifiying candidate # 3.450 * * * * [progress]: [ 134 / 138 ] simplifiying candidate # 3.450 * * * * [progress]: [ 135 / 138 ] simplifiying candidate # 3.450 * * * * [progress]: [ 136 / 138 ] simplifiying candidate # 3.450 * * * * [progress]: [ 137 / 138 ] simplifiying candidate # 3.450 * * * * [progress]: [ 138 / 138 ] simplifiying candidate # 3.451 * [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)) 3.453 * * [simplify]: iteration 1: (190 enodes) 3.512 * * [simplify]: iteration 2: (512 enodes) 3.881 * * [simplify]: iteration 3: (1861 enodes) 10.145 * * [simplify]: Extracting #0: cost 101 inf + 0 10.149 * * [simplify]: Extracting #1: cost 1298 inf + 2 10.165 * * [simplify]: Extracting #2: cost 2390 inf + 42523 10.247 * * [simplify]: Extracting #3: cost 935 inf + 455771 10.433 * * [simplify]: Extracting #4: cost 40 inf + 727061 10.601 * * [simplify]: Extracting #5: cost 0 inf + 728979 10.763 * * [simplify]: Extracting #6: cost 0 inf + 727499 10.909 * [simplify]: Simplified to: (expm1 (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log1p (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (exp (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) 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1)) (sin x))) (* (sin x) (sin x)) (* (sin x) (sin x)) (/ (+ (cos x) 1) (sin x)) (- (/ 1 (fma (cos x) (* (cos x) (cos x)) 1)) (/ (* (cos x) (cos x)) (fma (cos x) (* (cos x) (cos x)) 1))) 1 (fma 2 (cos x) 2) (real->posit16 (* (tan (/ x 2)) (sin x))) (fma -1/24 (* x x) (fma (* (* x x) (* x x)) 1/720 1/2)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (fma -1/2 (* x x) (fma (* x x) (* 1/24 (* x x)) 2)) (+ (cos x) 1) (+ (cos x) 1) (fma -1/3 (* (* x x) (* x x)) (fma (* (* x (* x x)) (* x (* x x))) 2/45 (* x x))) (* (sin x) (sin x)) (* (sin x) (sin x)) (fma (* (* x (* x x)) (* x (* x x))) 1/720 (* (* x x) (+ (* (* x x) -1/24) 1/2))) (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x)) 10.916 * * * [progress]: adding candidates to table 11.999 * * [progress]: iteration 3 / 4 11.999 * * * [progress]: picking best candidate 12.020 * * * * [pick]: Picked # 12.020 * * * [progress]: localizing error 12.043 * * * [progress]: generating rewritten candidates 12.043 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 12.054 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 12.067 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 12.090 * * * [progress]: generating series expansions 12.090 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 12.091 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 12.091 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 12.091 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 12.091 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 12.092 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 12.092 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 12.092 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.092 * [taylor]: Taking taylor expansion of 1/2 in x 12.092 * [backup-simplify]: Simplify 1/2 into 1/2 12.092 * [taylor]: Taking taylor expansion of x in x 12.092 * [backup-simplify]: Simplify 0 into 0 12.092 * [backup-simplify]: Simplify 1 into 1 12.092 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.093 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.093 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 12.093 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.093 * [taylor]: Taking taylor expansion of 1/2 in x 12.093 * [backup-simplify]: Simplify 1/2 into 1/2 12.093 * [taylor]: Taking taylor expansion of x in x 12.093 * [backup-simplify]: Simplify 0 into 0 12.093 * [backup-simplify]: Simplify 1 into 1 12.093 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.093 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 12.094 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.094 * [taylor]: Taking taylor expansion of x in x 12.094 * [backup-simplify]: Simplify 0 into 0 12.094 * [backup-simplify]: Simplify 1 into 1 12.095 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.095 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 12.095 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 12.095 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 12.095 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 12.095 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.095 * [taylor]: Taking taylor expansion of 1/2 in x 12.095 * [backup-simplify]: Simplify 1/2 into 1/2 12.095 * [taylor]: Taking taylor expansion of x in x 12.095 * [backup-simplify]: Simplify 0 into 0 12.095 * [backup-simplify]: Simplify 1 into 1 12.095 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.095 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.095 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 12.095 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.095 * [taylor]: Taking taylor expansion of 1/2 in x 12.096 * [backup-simplify]: Simplify 1/2 into 1/2 12.096 * [taylor]: Taking taylor expansion of x in x 12.096 * [backup-simplify]: Simplify 0 into 0 12.096 * [backup-simplify]: Simplify 1 into 1 12.096 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.096 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 12.097 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.097 * [taylor]: Taking taylor expansion of x in x 12.097 * [backup-simplify]: Simplify 0 into 0 12.097 * [backup-simplify]: Simplify 1 into 1 12.097 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.097 * [backup-simplify]: Simplify 1/2 into 1/2 12.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.098 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.099 * [backup-simplify]: Simplify (+ 0) into 0 12.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.100 * [backup-simplify]: Simplify 0 into 0 12.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.101 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 12.102 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 12.103 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 12.103 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 12.103 * [backup-simplify]: Simplify 1/24 into 1/24 12.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.110 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.111 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 12.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 12.113 * [backup-simplify]: Simplify 0 into 0 12.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.116 * [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 12.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.118 * [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 12.119 * [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 12.120 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 12.120 * [backup-simplify]: Simplify 1/240 into 1/240 12.121 * [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)) 12.121 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 12.121 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 12.121 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 12.121 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 12.121 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.121 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 12.121 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.121 * [taylor]: Taking taylor expansion of 1/2 in x 12.121 * [backup-simplify]: Simplify 1/2 into 1/2 12.121 * [taylor]: Taking taylor expansion of x in x 12.121 * [backup-simplify]: Simplify 0 into 0 12.121 * [backup-simplify]: Simplify 1 into 1 12.121 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.121 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 12.121 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 12.121 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.121 * [taylor]: Taking taylor expansion of 1/2 in x 12.121 * [backup-simplify]: Simplify 1/2 into 1/2 12.121 * [taylor]: Taking taylor expansion of x in x 12.121 * [backup-simplify]: Simplify 0 into 0 12.121 * [backup-simplify]: Simplify 1 into 1 12.122 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.122 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 12.122 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.122 * [taylor]: Taking taylor expansion of x in x 12.122 * [backup-simplify]: Simplify 0 into 0 12.122 * [backup-simplify]: Simplify 1 into 1 12.122 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 12.122 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 12.122 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.122 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 12.122 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.122 * [taylor]: Taking taylor expansion of 1/2 in x 12.122 * [backup-simplify]: Simplify 1/2 into 1/2 12.122 * [taylor]: Taking taylor expansion of x in x 12.122 * [backup-simplify]: Simplify 0 into 0 12.122 * [backup-simplify]: Simplify 1 into 1 12.122 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.122 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 12.122 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 12.123 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.123 * [taylor]: Taking taylor expansion of 1/2 in x 12.123 * [backup-simplify]: Simplify 1/2 into 1/2 12.123 * [taylor]: Taking taylor expansion of x in x 12.123 * [backup-simplify]: Simplify 0 into 0 12.123 * [backup-simplify]: Simplify 1 into 1 12.123 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.123 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 12.123 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.123 * [taylor]: Taking taylor expansion of x in x 12.123 * [backup-simplify]: Simplify 0 into 0 12.123 * [backup-simplify]: Simplify 1 into 1 12.123 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 12.123 * [backup-simplify]: Simplify 0 into 0 12.123 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 12.124 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.124 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.124 * [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 12.125 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 12.125 * [backup-simplify]: Simplify 0 into 0 12.125 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.125 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.126 * [backup-simplify]: Simplify 0 into 0 12.126 * [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 12.127 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.127 * [backup-simplify]: Simplify 0 into 0 12.127 * [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 12.128 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.128 * [backup-simplify]: Simplify 0 into 0 12.128 * [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 12.129 * [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 12.129 * [backup-simplify]: Simplify 0 into 0 12.129 * [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 12.130 * [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 12.130 * [backup-simplify]: Simplify 0 into 0 12.131 * [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)) 12.131 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 12.131 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 12.131 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 12.131 * [taylor]: Taking taylor expansion of -1 in x 12.131 * [backup-simplify]: Simplify -1 into -1 12.131 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 12.131 * [taylor]: Taking taylor expansion of x in x 12.131 * [backup-simplify]: Simplify 0 into 0 12.131 * [backup-simplify]: Simplify 1 into 1 12.131 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 12.131 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.131 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 12.131 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.131 * [taylor]: Taking taylor expansion of -1/2 in x 12.131 * [backup-simplify]: Simplify -1/2 into -1/2 12.131 * [taylor]: Taking taylor expansion of x in x 12.131 * [backup-simplify]: Simplify 0 into 0 12.131 * [backup-simplify]: Simplify 1 into 1 12.131 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.131 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 12.131 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 12.131 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.131 * [taylor]: Taking taylor expansion of -1/2 in x 12.131 * [backup-simplify]: Simplify -1/2 into -1/2 12.131 * [taylor]: Taking taylor expansion of x in x 12.131 * [backup-simplify]: Simplify 0 into 0 12.131 * [backup-simplify]: Simplify 1 into 1 12.132 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.132 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 12.132 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.132 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 12.132 * [taylor]: Taking taylor expansion of -1 in x 12.132 * [backup-simplify]: Simplify -1 into -1 12.132 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 12.132 * [taylor]: Taking taylor expansion of x in x 12.132 * [backup-simplify]: Simplify 0 into 0 12.132 * [backup-simplify]: Simplify 1 into 1 12.132 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 12.132 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.132 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 12.132 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.132 * [taylor]: Taking taylor expansion of -1/2 in x 12.132 * [backup-simplify]: Simplify -1/2 into -1/2 12.132 * [taylor]: Taking taylor expansion of x in x 12.132 * [backup-simplify]: Simplify 0 into 0 12.132 * [backup-simplify]: Simplify 1 into 1 12.132 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.132 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 12.132 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 12.132 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.132 * [taylor]: Taking taylor expansion of -1/2 in x 12.132 * [backup-simplify]: Simplify -1/2 into -1/2 12.132 * [taylor]: Taking taylor expansion of x in x 12.133 * [backup-simplify]: Simplify 0 into 0 12.133 * [backup-simplify]: Simplify 1 into 1 12.133 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.133 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 12.133 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.133 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 12.133 * [backup-simplify]: Simplify (* -1 0) into 0 12.133 * [backup-simplify]: Simplify 0 into 0 12.134 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 12.134 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.134 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 12.134 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 12.134 * [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 12.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 12.136 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 12.136 * [backup-simplify]: Simplify 0 into 0 12.136 * [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 12.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 12.137 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 12.138 * [backup-simplify]: Simplify 0 into 0 12.138 * [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 12.139 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 12.141 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 12.141 * [backup-simplify]: Simplify 0 into 0 12.141 * [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 12.143 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 12.145 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 12.145 * [backup-simplify]: Simplify 0 into 0 12.146 * [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 12.148 * [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 12.150 * [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 12.150 * [backup-simplify]: Simplify 0 into 0 12.151 * [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 12.153 * [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 12.154 * [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 12.154 * [backup-simplify]: Simplify 0 into 0 12.154 * [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)) 12.155 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 12.155 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 12.155 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 12.155 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 12.155 * [taylor]: Taking taylor expansion of (sin x) in x 12.155 * [taylor]: Taking taylor expansion of x in x 12.155 * [backup-simplify]: Simplify 0 into 0 12.155 * [backup-simplify]: Simplify 1 into 1 12.155 * [taylor]: Taking taylor expansion of x in x 12.155 * [backup-simplify]: Simplify 0 into 0 12.155 * [backup-simplify]: Simplify 1 into 1 12.155 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 12.156 * [backup-simplify]: Simplify (/ 1 1) into 1 12.156 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 12.156 * [taylor]: Taking taylor expansion of (sin x) in x 12.156 * [taylor]: Taking taylor expansion of x in x 12.156 * [backup-simplify]: Simplify 0 into 0 12.156 * [backup-simplify]: Simplify 1 into 1 12.156 * [taylor]: Taking taylor expansion of x in x 12.156 * [backup-simplify]: Simplify 0 into 0 12.156 * [backup-simplify]: Simplify 1 into 1 12.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 12.157 * [backup-simplify]: Simplify (/ 1 1) into 1 12.157 * [backup-simplify]: Simplify 1 into 1 12.158 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 12.158 * [backup-simplify]: Simplify 0 into 0 12.160 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 12.161 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 12.161 * [backup-simplify]: Simplify -1/6 into -1/6 12.162 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 12.163 * [backup-simplify]: Simplify 0 into 0 12.166 * [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 12.166 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 12.167 * [backup-simplify]: Simplify 1/120 into 1/120 12.167 * [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))) 12.167 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 12.167 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 12.167 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 12.167 * [taylor]: Taking taylor expansion of x in x 12.167 * [backup-simplify]: Simplify 0 into 0 12.167 * [backup-simplify]: Simplify 1 into 1 12.167 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 12.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.167 * [taylor]: Taking taylor expansion of x in x 12.167 * [backup-simplify]: Simplify 0 into 0 12.167 * [backup-simplify]: Simplify 1 into 1 12.167 * [backup-simplify]: Simplify (/ 1 1) into 1 12.167 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.167 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 12.167 * [taylor]: Taking taylor expansion of x in x 12.167 * [backup-simplify]: Simplify 0 into 0 12.167 * [backup-simplify]: Simplify 1 into 1 12.167 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 12.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.167 * [taylor]: Taking taylor expansion of x in x 12.167 * [backup-simplify]: Simplify 0 into 0 12.167 * [backup-simplify]: Simplify 1 into 1 12.168 * [backup-simplify]: Simplify (/ 1 1) into 1 12.168 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.168 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 12.168 * [backup-simplify]: Simplify 0 into 0 12.168 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 12.168 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 12.169 * [backup-simplify]: Simplify 0 into 0 12.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 12.170 * [backup-simplify]: Simplify 0 into 0 12.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 12.170 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 12.172 * [backup-simplify]: Simplify 0 into 0 12.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 12.173 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 12.175 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 12.175 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 12.175 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 12.175 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 12.175 * [taylor]: Taking taylor expansion of -1 in x 12.175 * [backup-simplify]: Simplify -1 into -1 12.175 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 12.175 * [taylor]: Taking taylor expansion of x in x 12.175 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify 1 into 1 12.175 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 12.175 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.175 * [taylor]: Taking taylor expansion of -1 in x 12.175 * [backup-simplify]: Simplify -1 into -1 12.175 * [taylor]: Taking taylor expansion of x in x 12.175 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify 1 into 1 12.175 * [backup-simplify]: Simplify (/ -1 1) into -1 12.175 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 12.175 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 12.175 * [taylor]: Taking taylor expansion of -1 in x 12.175 * [backup-simplify]: Simplify -1 into -1 12.175 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 12.175 * [taylor]: Taking taylor expansion of x in x 12.175 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify 1 into 1 12.175 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 12.175 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.175 * [taylor]: Taking taylor expansion of -1 in x 12.175 * [backup-simplify]: Simplify -1 into -1 12.176 * [taylor]: Taking taylor expansion of x in x 12.176 * [backup-simplify]: Simplify 0 into 0 12.176 * [backup-simplify]: Simplify 1 into 1 12.176 * [backup-simplify]: Simplify (/ -1 1) into -1 12.176 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 12.176 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 12.176 * [backup-simplify]: Simplify (* -1 0) into 0 12.176 * [backup-simplify]: Simplify 0 into 0 12.177 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 12.177 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 12.177 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 12.177 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 12.178 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 12.178 * [backup-simplify]: Simplify 0 into 0 12.179 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 12.180 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 12.180 * [backup-simplify]: Simplify 0 into 0 12.181 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 12.182 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 12.182 * [backup-simplify]: Simplify 0 into 0 12.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 12.184 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 12.184 * [backup-simplify]: Simplify 0 into 0 12.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 12.187 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 12.187 * [backup-simplify]: Simplify 0 into 0 12.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 12.190 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 12.190 * [backup-simplify]: Simplify 0 into 0 12.190 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 12.190 * * * * [progress]: [ 3 / 3 ] generating series at (2) 12.190 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 12.190 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 12.190 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 12.190 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 12.190 * [taylor]: Taking taylor expansion of (sin x) in x 12.190 * [taylor]: Taking taylor expansion of x in x 12.190 * [backup-simplify]: Simplify 0 into 0 12.190 * [backup-simplify]: Simplify 1 into 1 12.190 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 12.190 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 12.190 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 12.190 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.190 * [taylor]: Taking taylor expansion of 1/2 in x 12.190 * [backup-simplify]: Simplify 1/2 into 1/2 12.190 * [taylor]: Taking taylor expansion of x in x 12.190 * [backup-simplify]: Simplify 0 into 0 12.190 * [backup-simplify]: Simplify 1 into 1 12.191 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.191 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.191 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 12.191 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.191 * [taylor]: Taking taylor expansion of 1/2 in x 12.191 * [backup-simplify]: Simplify 1/2 into 1/2 12.191 * [taylor]: Taking taylor expansion of x in x 12.191 * [backup-simplify]: Simplify 0 into 0 12.191 * [backup-simplify]: Simplify 1 into 1 12.191 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.192 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 12.193 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.193 * [taylor]: Taking taylor expansion of x in x 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify 1 into 1 12.193 * [backup-simplify]: Simplify (* 0 1/2) into 0 12.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.194 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.194 * [backup-simplify]: Simplify (+ 0) into 0 12.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.195 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 12.195 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 12.196 * [backup-simplify]: Simplify (* 1 1) into 1 12.196 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.196 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 12.196 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 12.196 * [taylor]: Taking taylor expansion of (sin x) in x 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 12.196 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 12.196 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 12.196 * [taylor]: Taking taylor expansion of (sin (* 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 12.197 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 12.197 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 12.197 * [taylor]: Taking taylor expansion of 1/2 in x 12.197 * [backup-simplify]: Simplify 1/2 into 1/2 12.197 * [taylor]: Taking taylor expansion of x in x 12.197 * [backup-simplify]: Simplify 0 into 0 12.197 * [backup-simplify]: Simplify 1 into 1 12.197 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.198 * [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 12.199 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 12.199 * [backup-simplify]: Simplify (* 0 1/2) into 0 12.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.204 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.204 * [backup-simplify]: Simplify (+ 0) into 0 12.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.205 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 12.205 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 12.206 * [backup-simplify]: Simplify (* 1 1) into 1 12.206 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.206 * [backup-simplify]: Simplify 1/2 into 1/2 12.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.207 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 12.208 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 12.209 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 12.209 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.210 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 12.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.211 * [backup-simplify]: Simplify 0 into 0 12.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.212 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.214 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 12.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 12.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 12.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 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 12.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.220 * [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 12.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.222 * [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 12.224 * [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 12.224 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.226 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 12.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 12.227 * [backup-simplify]: Simplify 0 into 0 12.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.231 * [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 12.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.233 * [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 12.234 * [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 12.236 * [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 12.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 12.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.239 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 12.239 * [backup-simplify]: Simplify 1/720 into 1/720 12.239 * [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))) 12.239 * [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)))) 12.239 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 12.239 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 12.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.239 * [taylor]: Taking taylor expansion of x in x 12.239 * [backup-simplify]: Simplify 0 into 0 12.239 * [backup-simplify]: Simplify 1 into 1 12.239 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 12.240 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 12.240 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.240 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 12.240 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.240 * [taylor]: Taking taylor expansion of 1/2 in x 12.240 * [backup-simplify]: Simplify 1/2 into 1/2 12.240 * [taylor]: Taking taylor expansion of x in x 12.240 * [backup-simplify]: Simplify 0 into 0 12.240 * [backup-simplify]: Simplify 1 into 1 12.240 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.240 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 12.240 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 12.240 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.240 * [taylor]: Taking taylor expansion of 1/2 in x 12.240 * [backup-simplify]: Simplify 1/2 into 1/2 12.240 * [taylor]: Taking taylor expansion of x in x 12.240 * [backup-simplify]: Simplify 0 into 0 12.240 * [backup-simplify]: Simplify 1 into 1 12.240 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.240 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 12.241 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.241 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 12.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.241 * [taylor]: Taking taylor expansion of x in x 12.241 * [backup-simplify]: Simplify 0 into 0 12.241 * [backup-simplify]: Simplify 1 into 1 12.241 * [backup-simplify]: Simplify (/ 1 1) into 1 12.241 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.241 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 12.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.241 * [taylor]: Taking taylor expansion of x in x 12.241 * [backup-simplify]: Simplify 0 into 0 12.241 * [backup-simplify]: Simplify 1 into 1 12.241 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 12.241 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 12.241 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.241 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 12.241 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 12.241 * [taylor]: Taking taylor expansion of 1/2 in x 12.241 * [backup-simplify]: Simplify 1/2 into 1/2 12.241 * [taylor]: Taking taylor expansion of x in x 12.241 * [backup-simplify]: Simplify 0 into 0 12.241 * [backup-simplify]: Simplify 1 into 1 12.241 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.242 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 12.242 * [taylor]: Taking taylor expansion of (cos (/ 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 12.242 * [backup-simplify]: Simplify 1 into 1 12.242 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.242 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 12.242 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 12.242 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 12.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.242 * [taylor]: Taking taylor expansion of x in x 12.242 * [backup-simplify]: Simplify 0 into 0 12.242 * [backup-simplify]: Simplify 1 into 1 12.242 * [backup-simplify]: Simplify (/ 1 1) into 1 12.242 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 12.243 * [backup-simplify]: Simplify (* 1 1) into 1 12.243 * [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))) 12.243 * [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))) 12.243 * [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))) 12.243 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 12.243 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 12.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 12.244 * [backup-simplify]: Simplify 0 into 0 12.244 * [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 12.245 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 12.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) 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)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 12.247 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 12.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 12.248 * [backup-simplify]: Simplify 0 into 0 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)))) (* 0 (/ 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 12.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.251 * [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 12.251 * [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)))) (* 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 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 12.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.254 * [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 12.254 * [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 0) (* 0 (sin (/ 1 x))))))))) into 0 12.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.258 * [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 12.258 * [backup-simplify]: Simplify 0 into 0 12.258 * [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))) 12.258 * [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)))) 12.258 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 12.258 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 12.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.258 * [taylor]: Taking taylor expansion of x in x 12.258 * [backup-simplify]: Simplify 0 into 0 12.258 * [backup-simplify]: Simplify 1 into 1 12.258 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 12.258 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 12.258 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.258 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 12.258 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.258 * [taylor]: Taking taylor expansion of -1/2 in x 12.258 * [backup-simplify]: Simplify -1/2 into -1/2 12.258 * [taylor]: Taking taylor expansion of x in x 12.258 * [backup-simplify]: Simplify 0 into 0 12.259 * [backup-simplify]: Simplify 1 into 1 12.259 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.259 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 12.259 * [taylor]: Taking taylor expansion of (cos (/ -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 12.259 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.259 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 12.259 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.259 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 12.259 * [taylor]: Taking taylor expansion of (/ -1 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 in x 12.259 * [backup-simplify]: Simplify 0 into 0 12.259 * [backup-simplify]: Simplify 1 into 1 12.260 * [backup-simplify]: Simplify (/ -1 1) into -1 12.260 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 12.260 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 12.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 12.260 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 12.260 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 12.260 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 12.260 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 12.260 * [taylor]: Taking taylor expansion of -1/2 in x 12.260 * [backup-simplify]: Simplify -1/2 into -1/2 12.260 * [taylor]: Taking taylor expansion of x in x 12.260 * [backup-simplify]: Simplify 0 into 0 12.260 * [backup-simplify]: Simplify 1 into 1 12.260 * [backup-simplify]: Simplify (/ -1/2 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 12.261 * [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 (sin (/ -1 x)) in x 12.261 * [taylor]: Taking taylor expansion of (/ -1 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 in x 12.261 * [backup-simplify]: Simplify 0 into 0 12.261 * [backup-simplify]: Simplify 1 into 1 12.261 * [backup-simplify]: Simplify (/ -1 1) into -1 12.261 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 12.262 * [backup-simplify]: Simplify (* 1 1) into 1 12.262 * [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))) 12.262 * [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))) 12.262 * [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))) 12.262 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 12.262 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 12.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 12.263 * [backup-simplify]: Simplify 0 into 0 12.263 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.264 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 12.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 12.265 * [backup-simplify]: Simplify 0 into 0 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)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.265 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 12.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 12.267 * [backup-simplify]: Simplify 0 into 0 12.267 * [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 12.268 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 12.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.270 * [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 12.270 * [backup-simplify]: Simplify 0 into 0 12.270 * [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 12.271 * [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 12.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.273 * [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 12.273 * [backup-simplify]: Simplify 0 into 0 12.273 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 12.274 * [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 12.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.277 * [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 12.277 * [backup-simplify]: Simplify 0 into 0 12.277 * [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))) 12.277 * * * [progress]: simplifying candidates 12.277 * * * * [progress]: [ 1 / 123 ] simplifiying candidate # 12.277 * * * * [progress]: [ 2 / 123 ] simplifiying candidate # 12.277 * * * * [progress]: [ 3 / 123 ] simplifiying candidate # 12.277 * * * * [progress]: [ 4 / 123 ] simplifiying candidate # 12.277 * * * * [progress]: [ 5 / 123 ] simplifiying candidate # 12.277 * * * * [progress]: [ 6 / 123 ] simplifiying candidate # 12.277 * * * * [progress]: [ 7 / 123 ] simplifiying candidate # 12.277 * * * * [progress]: [ 8 / 123 ] simplifiying candidate # 12.277 * * * * [progress]: [ 9 / 123 ] simplifiying candidate # 12.277 * * * * [progress]: [ 10 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 11 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 12 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 13 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 14 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 15 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 16 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 17 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 18 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 19 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 20 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 21 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 22 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 23 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 24 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 25 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 26 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 27 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 28 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 29 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 30 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 31 / 123 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))))> 12.278 * * * * [progress]: [ 32 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 33 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 34 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 35 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 36 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 37 / 123 ] simplifiying candidate # 12.278 * * * * [progress]: [ 38 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 39 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 40 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 41 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 42 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 43 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 44 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 45 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 46 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 47 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 48 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 49 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 50 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 51 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 52 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 53 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 54 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 55 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 56 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 57 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 58 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 59 / 123 ] simplifiying candidate # 12.279 * * * * [progress]: [ 60 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 61 / 123 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))> 12.280 * * * * [progress]: [ 62 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 63 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 64 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 65 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 66 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 67 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 68 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 69 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 70 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 71 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 72 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 73 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 74 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 75 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 76 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 77 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 78 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 79 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 80 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 81 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 82 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 83 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 84 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 85 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 86 / 123 ] simplifiying candidate # 12.280 * * * * [progress]: [ 87 / 123 ] simplifiying candidate # 12.281 * * * * [progress]: [ 88 / 123 ] simplifiying candidate # 12.281 * * * * [progress]: [ 89 / 123 ] simplifiying candidate # 12.281 * * * * [progress]: [ 90 / 123 ] simplifiying candidate # 12.281 * * * * [progress]: [ 91 / 123 ] simplifiying candidate # 12.281 * * * * [progress]: [ 92 / 123 ] simplifiying candidate # 12.281 * * * * [progress]: [ 93 / 123 ] simplifiying candidate # 12.281 * * * * [progress]: [ 94 / 123 ] 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candidate # 12.281 * * * * [progress]: [ 110 / 123 ] simplifiying candidate # 12.281 * * * * [progress]: [ 111 / 123 ] simplifiying candidate # 12.281 * * * * [progress]: [ 112 / 123 ] simplifiying candidate # 12.281 * * * * [progress]: [ 113 / 123 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))> 12.281 * * * * [progress]: [ 114 / 123 ] simplifiying candidate # 12.281 * * * * [progress]: [ 115 / 123 ] simplifiying candidate # 12.282 * * * * [progress]: [ 116 / 123 ] simplifiying candidate # 12.282 * * * * [progress]: [ 117 / 123 ] simplifiying candidate # 12.282 * * * * [progress]: [ 118 / 123 ] simplifiying candidate # 12.282 * * * * [progress]: [ 119 / 123 ] simplifiying candidate # 12.282 * * * * [progress]: [ 120 / 123 ] simplifiying candidate # 12.282 * * * * [progress]: [ 121 / 123 ] simplifiying candidate # 12.282 * * * * [progress]: [ 122 / 123 ] simplifiying candidate # 12.282 * * * * [progress]: [ 123 / 123 ] simplifiying candidate # 12.283 * [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))) 12.284 * * [simplify]: iteration 1: (172 enodes) 12.325 * * [simplify]: iteration 2: (449 enodes) 12.551 * * [simplify]: iteration 3: (1656 enodes) 20.729 * * [simplify]: Extracting #0: cost 107 inf + 0 20.733 * * [simplify]: Extracting #1: cost 773 inf + 1 20.742 * * [simplify]: Extracting #2: cost 1423 inf + 10096 20.756 * * [simplify]: Extracting #3: cost 1027 inf + 87482 20.835 * * [simplify]: Extracting #4: cost 284 inf + 329866 20.931 * * [simplify]: Extracting #5: cost 20 inf + 424470 21.022 * * [simplify]: Extracting #6: cost 0 inf + 432316 21.146 * [simplify]: Simplified to: (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (/ (sqrt x) (cbrt (tan (/ x 2))))) (/ (cbrt (tan (/ x 2))) (sqrt x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (cbrt (tan (/ x 2))) x) (/ (/ (sqrt (tan (/ x 2))) (cbrt x)) (cbrt x)) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (tan (/ x 2))) (/ (sqrt (tan (/ x 2))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) 1 (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (/ (tan (/ x 2)) (cbrt x)) (cbrt x)) (/ (tan (/ x 2)) (sqrt x)) (tan (/ x 2)) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* (cos (/ x 2)) x) (real->posit16 (/ (tan (/ x 2)) x)) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (log (/ (sin x) x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (* (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (/ (sqrt x) (cbrt (sin x)))) (/ (cbrt (sin x)) (sqrt x)) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) x) (/ (/ (sqrt (sin x)) (cbrt x)) (cbrt x)) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (sqrt (sin x)) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) 1 (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (sin x) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log1p (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (exp (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (cbrt (/ (* (tan (/ x 2)) (sin x)) (* x x))) (cbrt (/ (* (tan (/ x 2)) (sin x)) (* x x)))) (cbrt (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x))) (sqrt (/ (* (tan (/ x 2)) (sin x)) (* x x))) (sqrt (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (tan (/ x 2)) (sin x)) (* x x) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (sin x) x))) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (sin x) x))) (* (/ (sqrt (/ (sin x) x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (sqrt (/ (sin x) x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (sqrt (/ (tan (/ x 2)) x)) (/ (sqrt (sin x)) (sqrt x))) (* (sqrt (/ (tan (/ x 2)) x)) (/ (sqrt (sin x)) (sqrt x))) (* (/ (/ (sqrt (sin x)) (sqrt x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (/ (sqrt (sin x)) (sqrt x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (* (cbrt (/ (tan (/ x 2)) x)) (/ (sin x) x)) (cbrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (tan (/ x 2)) x)) (/ (sin x) x)) (/ (/ (sin x) x) (* (/ (cbrt x) (cbrt (tan (/ x 2)))) (/ (cbrt x) (cbrt (tan (/ x 2)))))) (* (/ (cbrt (tan (/ x 2))) (/ (sqrt x) (cbrt (tan (/ x 2))))) (/ (sin x) x)) (* (* (/ (sin x) x) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))) (* (/ (/ (sin x) x) (* (cbrt x) (cbrt x))) (sqrt (tan (/ x 2)))) (/ (/ (* (sin x) (sqrt (tan (/ x 2)))) (sqrt x)) x) (* (/ (sin x) x) (sqrt (tan (/ x 2)))) (/ (sin x) (* x (* (cbrt x) (cbrt x)))) (/ (sin x) (* x (sqrt x))) (/ (sin x) x) (/ (sin x) x) (* (tan (/ x 2)) (/ (sin x) x)) (* (/ (tan (/ x 2)) x) (cbrt (/ (sin x) x))) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (/ (* (tan (/ x 2)) (/ (cbrt (sin x)) (cbrt x))) x) (/ (* (/ (cbrt (sin x)) (sqrt x)) (tan (/ x 2))) x) (/ (/ (cbrt (sin x)) x) (/ x (tan (/ x 2)))) (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) (cbrt x))) (/ (/ (sqrt (sin x)) (sqrt x)) (/ x (tan (/ x 2)))) (/ (* (/ (sqrt (sin x)) x) (tan (/ x 2))) x) (* (/ (tan (/ x 2)) x) (/ (sin x) (cbrt x))) (/ (* (tan (/ x 2)) (/ (sin x) (sqrt x))) x) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (/ (tan (/ x 2)) x) x) (* (tan (/ x 2)) (/ (sin x) x)) (* (tan (/ x 2)) (/ (sin x) x)) (real->posit16 (/ (* (tan (/ x 2)) (sin x)) (* x x))) (fma 1/240 (* (* x x) (* x x)) (fma (* x x) 1/24 1/2)) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (fma -1/6 (* x x) (fma 1/120 (* (* x x) (* x x)) 1)) (/ (sin x) x) (/ (sin x) x) (fma (* x x) -1/24 (fma (* (* x x) (* x x)) 1/720 1/2)) (* (/ (sin x) (cos (* 1/2 x))) (/ (sin (* 1/2 x)) (* x x))) (* (/ (sin x) (cos (* 1/2 x))) (/ (sin (* 1/2 x)) (* x x))) 21.155 * * * [progress]: adding candidates to table 22.267 * * [progress]: iteration 4 / 4 22.267 * * * [progress]: picking best candidate 22.276 * * * * [pick]: Picked # 22.276 * * * [progress]: localizing error 22.294 * * * [progress]: generating rewritten candidates 22.294 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 22.319 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 22.332 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 22.352 * * * [progress]: generating series expansions 22.352 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 22.352 * [backup-simplify]: Simplify (* (/ (sin x) x) (tan (/ x 2))) into (/ (* (sin x) (tan (* 1/2 x))) x) 22.352 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in (x) around 0 22.352 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 22.352 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 22.352 * [taylor]: Taking taylor expansion of (sin x) in x 22.352 * [taylor]: Taking taylor expansion of x in x 22.352 * [backup-simplify]: Simplify 0 into 0 22.352 * [backup-simplify]: Simplify 1 into 1 22.352 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 22.352 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 22.352 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 22.352 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 22.352 * [taylor]: Taking taylor expansion of 1/2 in x 22.352 * [backup-simplify]: Simplify 1/2 into 1/2 22.352 * [taylor]: Taking taylor expansion of x in x 22.352 * [backup-simplify]: Simplify 0 into 0 22.352 * [backup-simplify]: Simplify 1 into 1 22.353 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.353 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.353 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 22.353 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 22.353 * [taylor]: Taking taylor expansion of 1/2 in x 22.353 * [backup-simplify]: Simplify 1/2 into 1/2 22.353 * [taylor]: Taking taylor expansion of x in x 22.353 * [backup-simplify]: Simplify 0 into 0 22.353 * [backup-simplify]: Simplify 1 into 1 22.354 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.354 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.354 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 22.355 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.355 * [taylor]: Taking taylor expansion of x in x 22.355 * [backup-simplify]: Simplify 0 into 0 22.355 * [backup-simplify]: Simplify 1 into 1 22.355 * [backup-simplify]: Simplify (* 0 1/2) into 0 22.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 22.356 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.356 * [backup-simplify]: Simplify (+ 0) into 0 22.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 22.357 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 22.358 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 22.358 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.358 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 22.358 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 22.358 * [taylor]: Taking taylor expansion of (sin x) in x 22.358 * [taylor]: Taking taylor expansion of x in x 22.358 * [backup-simplify]: Simplify 0 into 0 22.358 * [backup-simplify]: Simplify 1 into 1 22.358 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 22.358 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 22.358 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 22.358 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 22.358 * [taylor]: Taking taylor expansion of 1/2 in x 22.358 * [backup-simplify]: Simplify 1/2 into 1/2 22.358 * [taylor]: Taking taylor expansion of x in x 22.358 * [backup-simplify]: Simplify 0 into 0 22.358 * [backup-simplify]: Simplify 1 into 1 22.359 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.359 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.359 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 22.359 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 22.359 * [taylor]: Taking taylor expansion of 1/2 in x 22.359 * [backup-simplify]: Simplify 1/2 into 1/2 22.359 * [taylor]: Taking taylor expansion of x in x 22.359 * [backup-simplify]: Simplify 0 into 0 22.359 * [backup-simplify]: Simplify 1 into 1 22.359 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.360 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.360 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 22.361 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.361 * [taylor]: Taking taylor expansion of x in x 22.361 * [backup-simplify]: Simplify 0 into 0 22.361 * [backup-simplify]: Simplify 1 into 1 22.361 * [backup-simplify]: Simplify (* 0 1/2) into 0 22.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 22.362 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.362 * [backup-simplify]: Simplify (+ 0) into 0 22.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 22.363 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 22.364 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 22.364 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.364 * [backup-simplify]: Simplify 1/2 into 1/2 22.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.366 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 22.367 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 22.368 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 22.368 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.369 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 22.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 22.369 * [backup-simplify]: Simplify 0 into 0 22.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 22.371 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 22.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 22.373 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 22.374 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 22.375 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 22.376 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 22.376 * [backup-simplify]: Simplify -1/24 into -1/24 22.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 22.379 * [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 22.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.381 * [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 22.385 * [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 22.386 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 22.387 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 22.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 22.388 * [backup-simplify]: Simplify 0 into 0 22.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 22.392 * [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 22.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 22.394 * [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 22.395 * [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 22.397 * [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 22.398 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 22.399 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 22.399 * [backup-simplify]: Simplify 1/720 into 1/720 22.399 * [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))) 22.399 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (tan (/ (/ 1 x) 2))) into (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 22.399 * [approximate]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 22.399 * [taylor]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 22.399 * [taylor]: Taking taylor expansion of x in x 22.399 * [backup-simplify]: Simplify 0 into 0 22.399 * [backup-simplify]: Simplify 1 into 1 22.399 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 22.400 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 22.400 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.400 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 22.400 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 22.400 * [taylor]: Taking taylor expansion of 1/2 in x 22.400 * [backup-simplify]: Simplify 1/2 into 1/2 22.400 * [taylor]: Taking taylor expansion of x in x 22.400 * [backup-simplify]: Simplify 0 into 0 22.400 * [backup-simplify]: Simplify 1 into 1 22.400 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.400 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 22.400 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 22.400 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 22.400 * [taylor]: Taking taylor expansion of 1/2 in x 22.400 * [backup-simplify]: Simplify 1/2 into 1/2 22.400 * [taylor]: Taking taylor expansion of x in x 22.400 * [backup-simplify]: Simplify 0 into 0 22.400 * [backup-simplify]: Simplify 1 into 1 22.400 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.400 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 22.401 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.401 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 22.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 22.401 * [taylor]: Taking taylor expansion of x in x 22.401 * [backup-simplify]: Simplify 0 into 0 22.401 * [backup-simplify]: Simplify 1 into 1 22.401 * [backup-simplify]: Simplify (/ 1 1) into 1 22.401 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 22.401 * [taylor]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 22.401 * [taylor]: Taking taylor expansion of x in x 22.401 * [backup-simplify]: Simplify 0 into 0 22.401 * [backup-simplify]: Simplify 1 into 1 22.401 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 22.401 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 22.401 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.401 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 22.401 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 22.401 * [taylor]: Taking taylor expansion of 1/2 in x 22.401 * [backup-simplify]: Simplify 1/2 into 1/2 22.401 * [taylor]: Taking taylor expansion of x in x 22.401 * [backup-simplify]: Simplify 0 into 0 22.401 * [backup-simplify]: Simplify 1 into 1 22.401 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.401 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 22.401 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 22.402 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 22.402 * [taylor]: Taking taylor expansion of 1/2 in x 22.402 * [backup-simplify]: Simplify 1/2 into 1/2 22.402 * [taylor]: Taking taylor expansion of x in x 22.402 * [backup-simplify]: Simplify 0 into 0 22.402 * [backup-simplify]: Simplify 1 into 1 22.402 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.402 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 22.402 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.402 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 22.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x 22.402 * [taylor]: Taking taylor expansion of x in x 22.402 * [backup-simplify]: Simplify 0 into 0 22.402 * [backup-simplify]: Simplify 1 into 1 22.402 * [backup-simplify]: Simplify (/ 1 1) into 1 22.402 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 22.402 * [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))) 22.403 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into 0 22.403 * [backup-simplify]: Simplify 0 into 0 22.403 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 22.403 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 22.403 * [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))) 22.403 * [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))) 22.404 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 22.404 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 22.405 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 22.405 * [backup-simplify]: Simplify 0 into 0 22.405 * [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 22.406 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 22.406 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 22.406 * [backup-simplify]: Simplify 0 into 0 22.407 * [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 22.407 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 22.408 * [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 22.409 * [backup-simplify]: Simplify 0 into 0 22.409 * [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 22.410 * [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 22.411 * [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 22.411 * [backup-simplify]: Simplify 0 into 0 22.411 * [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 22.413 * [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 22.415 * [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 22.415 * [backup-simplify]: Simplify 0 into 0 22.416 * [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 22.419 * [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 22.422 * [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 22.422 * [backup-simplify]: Simplify 0 into 0 22.422 * [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)) 22.422 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) into (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) 22.422 * [approximate]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in (x) around 0 22.423 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 22.423 * [taylor]: Taking taylor expansion of -1 in x 22.423 * [backup-simplify]: Simplify -1 into -1 22.423 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 22.423 * [taylor]: Taking taylor expansion of x in x 22.423 * [backup-simplify]: Simplify 0 into 0 22.423 * [backup-simplify]: Simplify 1 into 1 22.423 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 22.423 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 22.423 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 22.423 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 22.423 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 22.423 * [taylor]: Taking taylor expansion of -1/2 in x 22.423 * [backup-simplify]: Simplify -1/2 into -1/2 22.423 * [taylor]: Taking taylor expansion of x in x 22.423 * [backup-simplify]: Simplify 0 into 0 22.423 * [backup-simplify]: Simplify 1 into 1 22.423 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.424 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 22.424 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 22.424 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 22.424 * [taylor]: Taking taylor expansion of -1/2 in x 22.424 * [backup-simplify]: Simplify -1/2 into -1/2 22.424 * [taylor]: Taking taylor expansion of x in x 22.424 * [backup-simplify]: Simplify 0 into 0 22.424 * [backup-simplify]: Simplify 1 into 1 22.424 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.424 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 22.424 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 22.424 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 22.424 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.424 * [taylor]: Taking taylor expansion of -1 in x 22.425 * [backup-simplify]: Simplify -1 into -1 22.425 * [taylor]: Taking taylor expansion of x in x 22.425 * [backup-simplify]: Simplify 0 into 0 22.425 * [backup-simplify]: Simplify 1 into 1 22.425 * [backup-simplify]: Simplify (/ -1 1) into -1 22.425 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 22.425 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 22.425 * [taylor]: Taking taylor expansion of -1 in x 22.425 * [backup-simplify]: Simplify -1 into -1 22.425 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 22.425 * [taylor]: Taking taylor expansion of x in x 22.425 * [backup-simplify]: Simplify 0 into 0 22.425 * [backup-simplify]: Simplify 1 into 1 22.425 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 22.425 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 22.425 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 22.425 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 22.425 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 22.425 * [taylor]: Taking taylor expansion of -1/2 in x 22.425 * [backup-simplify]: Simplify -1/2 into -1/2 22.426 * [taylor]: Taking taylor expansion of x in x 22.426 * [backup-simplify]: Simplify 0 into 0 22.426 * [backup-simplify]: Simplify 1 into 1 22.426 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.426 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 22.426 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 22.426 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 22.426 * [taylor]: Taking taylor expansion of -1/2 in x 22.426 * [backup-simplify]: Simplify -1/2 into -1/2 22.426 * [taylor]: Taking taylor expansion of x in x 22.426 * [backup-simplify]: Simplify 0 into 0 22.426 * [backup-simplify]: Simplify 1 into 1 22.427 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.427 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 22.427 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 22.427 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 22.427 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.427 * [taylor]: Taking taylor expansion of -1 in x 22.427 * [backup-simplify]: Simplify -1 into -1 22.427 * [taylor]: Taking taylor expansion of x in x 22.427 * [backup-simplify]: Simplify 0 into 0 22.427 * [backup-simplify]: Simplify 1 into 1 22.428 * [backup-simplify]: Simplify (/ -1 1) into -1 22.428 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 22.428 * [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))) 22.428 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into 0 22.428 * [backup-simplify]: Simplify (* -1 0) into 0 22.429 * [backup-simplify]: Simplify 0 into 0 22.429 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 22.429 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 22.430 * [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))) 22.430 * [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)))) 22.430 * [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)))) 22.431 * [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 22.431 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 22.432 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 22.433 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))) into 0 22.433 * [backup-simplify]: Simplify 0 into 0 22.434 * [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 22.435 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 22.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 22.437 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))) into 0 22.437 * [backup-simplify]: Simplify 0 into 0 22.438 * [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 22.439 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 22.440 * [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 22.441 * [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 22.441 * [backup-simplify]: Simplify 0 into 0 22.442 * [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 22.443 * [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 22.444 * [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 22.445 * [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 22.445 * [backup-simplify]: Simplify 0 into 0 22.446 * [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 22.447 * [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 22.448 * [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 22.450 * [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 22.450 * [backup-simplify]: Simplify 0 into 0 22.450 * [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)))) (* 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 22.452 * [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 22.453 * [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 22.455 * [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 22.455 * [backup-simplify]: Simplify 0 into 0 22.455 * [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)) 22.456 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 22.456 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 22.456 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 22.456 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 22.456 * [taylor]: Taking taylor expansion of (sin x) in x 22.456 * [taylor]: Taking taylor expansion of x in x 22.456 * [backup-simplify]: Simplify 0 into 0 22.456 * [backup-simplify]: Simplify 1 into 1 22.456 * [taylor]: Taking taylor expansion of x in x 22.456 * [backup-simplify]: Simplify 0 into 0 22.456 * [backup-simplify]: Simplify 1 into 1 22.456 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 22.457 * [backup-simplify]: Simplify (/ 1 1) into 1 22.457 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 22.457 * [taylor]: Taking taylor expansion of (sin x) in x 22.457 * [taylor]: Taking taylor expansion of x in x 22.457 * [backup-simplify]: Simplify 0 into 0 22.457 * [backup-simplify]: Simplify 1 into 1 22.457 * [taylor]: Taking taylor expansion of x in x 22.457 * [backup-simplify]: Simplify 0 into 0 22.457 * [backup-simplify]: Simplify 1 into 1 22.457 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 22.458 * [backup-simplify]: Simplify (/ 1 1) into 1 22.458 * [backup-simplify]: Simplify 1 into 1 22.458 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 22.459 * [backup-simplify]: Simplify 0 into 0 22.460 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 22.460 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 22.460 * [backup-simplify]: Simplify -1/6 into -1/6 22.461 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 22.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 22.462 * [backup-simplify]: Simplify 0 into 0 22.464 * [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 22.465 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 22.465 * [backup-simplify]: Simplify 1/120 into 1/120 22.465 * [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))) 22.465 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 22.465 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 22.465 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 22.465 * [taylor]: Taking taylor expansion of x in x 22.466 * [backup-simplify]: Simplify 0 into 0 22.466 * [backup-simplify]: Simplify 1 into 1 22.466 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 22.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 22.466 * [taylor]: Taking taylor expansion of x in x 22.466 * [backup-simplify]: Simplify 0 into 0 22.466 * [backup-simplify]: Simplify 1 into 1 22.466 * [backup-simplify]: Simplify (/ 1 1) into 1 22.466 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 22.466 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 22.466 * [taylor]: Taking taylor expansion of x in x 22.466 * [backup-simplify]: Simplify 0 into 0 22.466 * [backup-simplify]: Simplify 1 into 1 22.466 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 22.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 22.466 * [taylor]: Taking taylor expansion of x in x 22.466 * [backup-simplify]: Simplify 0 into 0 22.466 * [backup-simplify]: Simplify 1 into 1 22.467 * [backup-simplify]: Simplify (/ 1 1) into 1 22.467 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 22.467 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 22.467 * [backup-simplify]: Simplify 0 into 0 22.467 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 22.468 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 22.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 22.468 * [backup-simplify]: Simplify 0 into 0 22.470 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 22.470 * [backup-simplify]: Simplify 0 into 0 22.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 22.471 * [backup-simplify]: Simplify 0 into 0 22.473 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 22.473 * [backup-simplify]: Simplify 0 into 0 22.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 22.475 * [backup-simplify]: Simplify 0 into 0 22.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 22.478 * [backup-simplify]: Simplify 0 into 0 22.478 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 22.478 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 22.478 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 22.478 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 22.478 * [taylor]: Taking taylor expansion of -1 in x 22.478 * [backup-simplify]: Simplify -1 into -1 22.478 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 22.478 * [taylor]: Taking taylor expansion of x in x 22.478 * [backup-simplify]: Simplify 0 into 0 22.478 * [backup-simplify]: Simplify 1 into 1 22.478 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 22.478 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.478 * [taylor]: Taking taylor expansion of -1 in x 22.478 * [backup-simplify]: Simplify -1 into -1 22.479 * [taylor]: Taking taylor expansion of x in x 22.479 * [backup-simplify]: Simplify 0 into 0 22.479 * [backup-simplify]: Simplify 1 into 1 22.479 * [backup-simplify]: Simplify (/ -1 1) into -1 22.479 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 22.479 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 22.479 * [taylor]: Taking taylor expansion of -1 in x 22.479 * [backup-simplify]: Simplify -1 into -1 22.479 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 22.479 * [taylor]: Taking taylor expansion of x in x 22.479 * [backup-simplify]: Simplify 0 into 0 22.479 * [backup-simplify]: Simplify 1 into 1 22.479 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 22.479 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.479 * [taylor]: Taking taylor expansion of -1 in x 22.479 * [backup-simplify]: Simplify -1 into -1 22.480 * [taylor]: Taking taylor expansion of x in x 22.480 * [backup-simplify]: Simplify 0 into 0 22.480 * [backup-simplify]: Simplify 1 into 1 22.480 * [backup-simplify]: Simplify (/ -1 1) into -1 22.480 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 22.480 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 22.481 * [backup-simplify]: Simplify (* -1 0) into 0 22.481 * [backup-simplify]: Simplify 0 into 0 22.481 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 22.482 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 22.482 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 22.483 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 22.488 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 22.488 * [backup-simplify]: Simplify 0 into 0 22.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 22.490 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 22.490 * [backup-simplify]: Simplify 0 into 0 22.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 22.493 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 22.493 * [backup-simplify]: Simplify 0 into 0 22.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 22.495 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 22.495 * [backup-simplify]: Simplify 0 into 0 22.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 22.498 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 22.498 * [backup-simplify]: Simplify 0 into 0 22.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 22.501 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 22.501 * [backup-simplify]: Simplify 0 into 0 22.501 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 22.501 * * * * [progress]: [ 3 / 3 ] generating series at (2) 22.501 * [backup-simplify]: Simplify (/ (* (/ (sin x) x) (tan (/ x 2))) x) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 22.501 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 22.502 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 22.502 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 22.502 * [taylor]: Taking taylor expansion of (sin x) in x 22.502 * [taylor]: Taking taylor expansion of x in x 22.502 * [backup-simplify]: Simplify 0 into 0 22.502 * [backup-simplify]: Simplify 1 into 1 22.502 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 22.502 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 22.502 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 22.502 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 22.502 * [taylor]: Taking taylor expansion of 1/2 in x 22.502 * [backup-simplify]: Simplify 1/2 into 1/2 22.502 * [taylor]: Taking taylor expansion of x in x 22.502 * [backup-simplify]: Simplify 0 into 0 22.502 * [backup-simplify]: Simplify 1 into 1 22.502 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.502 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.503 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 22.503 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 22.503 * [taylor]: Taking taylor expansion of 1/2 in x 22.503 * [backup-simplify]: Simplify 1/2 into 1/2 22.503 * [taylor]: Taking taylor expansion of x in x 22.503 * [backup-simplify]: Simplify 0 into 0 22.503 * [backup-simplify]: Simplify 1 into 1 22.503 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.503 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.504 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 22.504 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 22.504 * [taylor]: Taking taylor expansion of x in x 22.504 * [backup-simplify]: Simplify 0 into 0 22.504 * [backup-simplify]: Simplify 1 into 1 22.504 * [backup-simplify]: Simplify (* 0 1/2) into 0 22.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 22.505 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.506 * [backup-simplify]: Simplify (+ 0) into 0 22.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 22.507 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 22.507 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 22.507 * [backup-simplify]: Simplify (* 1 1) into 1 22.508 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.508 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 22.508 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 22.508 * [taylor]: Taking taylor expansion of (sin x) in x 22.508 * [taylor]: Taking taylor expansion of x in x 22.508 * [backup-simplify]: Simplify 0 into 0 22.508 * [backup-simplify]: Simplify 1 into 1 22.508 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 22.508 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 22.508 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 22.508 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 22.508 * [taylor]: Taking taylor expansion of 1/2 in x 22.508 * [backup-simplify]: Simplify 1/2 into 1/2 22.508 * [taylor]: Taking taylor expansion of x in x 22.508 * [backup-simplify]: Simplify 0 into 0 22.508 * [backup-simplify]: Simplify 1 into 1 22.508 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.509 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.509 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 22.509 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 22.509 * [taylor]: Taking taylor expansion of 1/2 in x 22.509 * [backup-simplify]: Simplify 1/2 into 1/2 22.509 * [taylor]: Taking taylor expansion of x in x 22.509 * [backup-simplify]: Simplify 0 into 0 22.509 * [backup-simplify]: Simplify 1 into 1 22.509 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.510 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.510 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 22.510 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 22.510 * [taylor]: Taking taylor expansion of x in x 22.510 * [backup-simplify]: Simplify 0 into 0 22.510 * [backup-simplify]: Simplify 1 into 1 22.511 * [backup-simplify]: Simplify (* 0 1/2) into 0 22.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 22.512 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.512 * [backup-simplify]: Simplify (+ 0) into 0 22.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 22.513 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 22.513 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 22.513 * [backup-simplify]: Simplify (* 1 1) into 1 22.514 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.514 * [backup-simplify]: Simplify 1/2 into 1/2 22.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.515 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 22.516 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 22.517 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 22.517 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.518 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 22.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 22.519 * [backup-simplify]: Simplify 0 into 0 22.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 22.520 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 22.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 22.522 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 22.523 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 22.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 22.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.525 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 22.525 * [backup-simplify]: Simplify -1/24 into -1/24 22.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 22.529 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 22.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.533 * [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 22.535 * [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 22.537 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 22.539 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 22.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 22.542 * [backup-simplify]: Simplify 0 into 0 22.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 22.548 * [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 22.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 22.552 * [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 22.554 * [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 22.558 * [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 22.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 22.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 22.564 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 22.564 * [backup-simplify]: Simplify 1/720 into 1/720 22.564 * [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))) 22.565 * [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)))) 22.565 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 22.565 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 22.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 22.565 * [taylor]: Taking taylor expansion of x in x 22.565 * [backup-simplify]: Simplify 0 into 0 22.565 * [backup-simplify]: Simplify 1 into 1 22.565 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 22.565 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 22.565 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.565 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 22.565 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 22.565 * [taylor]: Taking taylor expansion of 1/2 in x 22.565 * [backup-simplify]: Simplify 1/2 into 1/2 22.565 * [taylor]: Taking taylor expansion of x in x 22.565 * [backup-simplify]: Simplify 0 into 0 22.565 * [backup-simplify]: Simplify 1 into 1 22.566 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.566 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 22.566 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 22.566 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 22.566 * [taylor]: Taking taylor expansion of 1/2 in x 22.566 * [backup-simplify]: Simplify 1/2 into 1/2 22.566 * [taylor]: Taking taylor expansion of x in x 22.566 * [backup-simplify]: Simplify 0 into 0 22.566 * [backup-simplify]: Simplify 1 into 1 22.566 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.566 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 22.566 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.567 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 22.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 22.567 * [taylor]: Taking taylor expansion of x in x 22.567 * [backup-simplify]: Simplify 0 into 0 22.567 * [backup-simplify]: Simplify 1 into 1 22.567 * [backup-simplify]: Simplify (/ 1 1) into 1 22.567 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 22.567 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 22.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 22.567 * [taylor]: Taking taylor expansion of x in x 22.567 * [backup-simplify]: Simplify 0 into 0 22.567 * [backup-simplify]: Simplify 1 into 1 22.567 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 22.567 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 22.567 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.567 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 22.567 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 22.567 * [taylor]: Taking taylor expansion of 1/2 in x 22.567 * [backup-simplify]: Simplify 1/2 into 1/2 22.567 * [taylor]: Taking taylor expansion of x in x 22.568 * [backup-simplify]: Simplify 0 into 0 22.568 * [backup-simplify]: Simplify 1 into 1 22.568 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.568 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 22.568 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 22.568 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 22.568 * [taylor]: Taking taylor expansion of 1/2 in x 22.568 * [backup-simplify]: Simplify 1/2 into 1/2 22.568 * [taylor]: Taking taylor expansion of x in x 22.568 * [backup-simplify]: Simplify 0 into 0 22.568 * [backup-simplify]: Simplify 1 into 1 22.568 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.568 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 22.569 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 22.569 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 22.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 22.569 * [taylor]: Taking taylor expansion of x in x 22.569 * [backup-simplify]: Simplify 0 into 0 22.569 * [backup-simplify]: Simplify 1 into 1 22.569 * [backup-simplify]: Simplify (/ 1 1) into 1 22.569 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 22.569 * [backup-simplify]: Simplify (* 1 1) into 1 22.569 * [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))) 22.569 * [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))) 22.570 * [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))) 22.570 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 22.570 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 22.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 22.571 * [backup-simplify]: Simplify 0 into 0 22.571 * [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 22.571 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 22.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 22.572 * [backup-simplify]: Simplify 0 into 0 22.573 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 22.573 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 22.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 22.575 * [backup-simplify]: Simplify 0 into 0 22.575 * [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 22.576 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 22.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 22.577 * [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 22.577 * [backup-simplify]: Simplify 0 into 0 22.578 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 22.579 * [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 22.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 22.581 * [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 22.581 * [backup-simplify]: Simplify 0 into 0 22.581 * [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 22.582 * [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 22.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 22.585 * [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 22.585 * [backup-simplify]: Simplify 0 into 0 22.585 * [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))) 22.585 * [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)))) 22.585 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 22.585 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 22.585 * [taylor]: Taking taylor expansion of (pow x 2) in x 22.585 * [taylor]: Taking taylor expansion of x in x 22.585 * [backup-simplify]: Simplify 0 into 0 22.585 * [backup-simplify]: Simplify 1 into 1 22.585 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 22.585 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 22.585 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 22.585 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 22.585 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 22.585 * [taylor]: Taking taylor expansion of -1/2 in x 22.585 * [backup-simplify]: Simplify -1/2 into -1/2 22.585 * [taylor]: Taking taylor expansion of x in x 22.585 * [backup-simplify]: Simplify 0 into 0 22.585 * [backup-simplify]: Simplify 1 into 1 22.586 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.586 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 22.586 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 22.586 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 22.586 * [taylor]: Taking taylor expansion of -1/2 in x 22.586 * [backup-simplify]: Simplify -1/2 into -1/2 22.586 * [taylor]: Taking taylor expansion of x in x 22.586 * [backup-simplify]: Simplify 0 into 0 22.586 * [backup-simplify]: Simplify 1 into 1 22.586 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.586 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 22.586 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 22.586 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 22.586 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.586 * [taylor]: Taking taylor expansion of -1 in x 22.586 * [backup-simplify]: Simplify -1 into -1 22.586 * [taylor]: Taking taylor expansion of x in x 22.586 * [backup-simplify]: Simplify 0 into 0 22.586 * [backup-simplify]: Simplify 1 into 1 22.587 * [backup-simplify]: Simplify (/ -1 1) into -1 22.587 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 22.587 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 22.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 22.587 * [taylor]: Taking taylor expansion of x in x 22.587 * [backup-simplify]: Simplify 0 into 0 22.587 * [backup-simplify]: Simplify 1 into 1 22.587 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 22.587 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 22.587 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 22.587 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 22.587 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 22.587 * [taylor]: Taking taylor expansion of -1/2 in x 22.587 * [backup-simplify]: Simplify -1/2 into -1/2 22.587 * [taylor]: Taking taylor expansion of x in x 22.587 * [backup-simplify]: Simplify 0 into 0 22.587 * [backup-simplify]: Simplify 1 into 1 22.587 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.587 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 22.587 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 22.587 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 22.587 * [taylor]: Taking taylor expansion of -1/2 in x 22.587 * [backup-simplify]: Simplify -1/2 into -1/2 22.587 * [taylor]: Taking taylor expansion of x in x 22.587 * [backup-simplify]: Simplify 0 into 0 22.587 * [backup-simplify]: Simplify 1 into 1 22.588 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.588 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 22.588 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 22.588 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 22.588 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.588 * [taylor]: Taking taylor expansion of -1 in x 22.588 * [backup-simplify]: Simplify -1 into -1 22.588 * [taylor]: Taking taylor expansion of x in x 22.588 * [backup-simplify]: Simplify 0 into 0 22.588 * [backup-simplify]: Simplify 1 into 1 22.588 * [backup-simplify]: Simplify (/ -1 1) into -1 22.589 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 22.589 * [backup-simplify]: Simplify (* 1 1) into 1 22.589 * [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))) 22.589 * [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))) 22.589 * [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))) 22.589 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 22.590 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 22.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 22.596 * [backup-simplify]: Simplify 0 into 0 22.596 * [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 22.597 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 22.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 22.598 * [backup-simplify]: Simplify 0 into 0 22.598 * [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 22.599 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 22.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 22.601 * [backup-simplify]: Simplify 0 into 0 22.601 * [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 22.602 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 22.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 22.603 * [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 22.603 * [backup-simplify]: Simplify 0 into 0 22.604 * [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 22.605 * [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 22.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 22.607 * [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 22.607 * [backup-simplify]: Simplify 0 into 0 22.607 * [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 22.608 * [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 22.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 22.611 * [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 22.611 * [backup-simplify]: Simplify 0 into 0 22.611 * [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))) 22.611 * * * [progress]: simplifying candidates 22.611 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 22.611 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 22.611 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 22.611 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 20 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 21 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 24 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 28 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 22.612 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 36 / 105 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (tan (/ x 2))))) x))> 22.613 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 40 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 42 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 44 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 45 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 46 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 51 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 54 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 22.613 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 58 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 59 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 64 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 66 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 67 / 105 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (tan (/ x 2))) x))> 22.614 * * * * [progress]: [ 68 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 70 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 71 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 72 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 74 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 75 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 81 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 22.614 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 92 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 93 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 96 / 105 ] simplifiying candidate #real (real->posit16 (/ (* (/ (sin x) x) (tan (/ x 2))) x))))> 22.615 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 22.615 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 22.616 * [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))) 22.617 * * [simplify]: iteration 1: (160 enodes) 22.672 * * [simplify]: iteration 2: (379 enodes) 22.879 * * [simplify]: iteration 3: (1329 enodes) 32.100 * * [simplify]: Extracting #0: cost 89 inf + 0 32.102 * * [simplify]: Extracting #1: cost 982 inf + 1 32.117 * * [simplify]: Extracting #2: cost 1911 inf + 5203 32.135 * * [simplify]: Extracting #3: cost 1334 inf + 122311 32.211 * * [simplify]: Extracting #4: cost 260 inf + 489538 32.336 * * [simplify]: Extracting #5: cost 0 inf + 599477 32.452 * * [simplify]: Extracting #6: cost 0 inf + 598277 32.567 * [simplify]: Simplified to: (expm1 (* (/ (sin x) x) (tan (/ x 2)))) (log1p (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2))) (log (* (/ (sin x) x) (tan (/ x 2)))) (log (* (/ (sin x) x) (tan (/ x 2)))) (log (* (/ (sin x) x) (tan (/ x 2)))) (exp (* (/ (sin x) x) (tan (/ x 2)))) (* (* (/ (sin x) x) (tan (/ x 2))) (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))))) (* (* (/ (sin x) x) (tan (/ x 2))) (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (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 2)) (sin x)) (* (cos (/ x 2)) x) (* (sqrt (tan (/ x 2))) (sqrt (/ (sin x) x))) (* (sqrt (tan (/ x 2))) (sqrt (/ (sin x) x))) (/ (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) (sqrt x)) (/ (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) (sqrt x)) (* (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (sin x) x)) (* (sqrt (tan (/ x 2))) (/ (sin x) x)) (/ (sin x) x) (* (cbrt (/ (sin x) x)) (tan (/ x 2))) (* (tan (/ x 2)) (sqrt (/ (sin x) x))) (* (/ (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)) (tan (/ x 2))) (cbrt x)) (/ (* (sqrt (sin x)) (tan (/ x 2))) (sqrt x)) (* (tan (/ x 2)) (/ (sqrt (sin x)) x)) (* (tan (/ x 2)) (/ (sin x) (cbrt x))) (* (tan (/ x 2)) (/ (sin x) (sqrt x))) (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))) (/ (tan (/ x 2)) x) (* (/ (sin x) x) (sin (/ x 2))) (* (tan (/ x 2)) (sin x)) (real->posit16 (* (/ (sin x) x) (tan (/ x 2)))) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (log (/ (sin x) x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (* (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x)) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (sqrt (sin x)) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) 1 (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (sin x) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (/ (/ (* (tan (/ x 2)) (sin x)) x) x)) (log1p (/ (/ (* (tan (/ x 2)) (sin x)) x) x)) (log (/ (/ (* (tan (/ x 2)) (sin x)) x) x)) (log (/ (/ (* (tan (/ x 2)) (sin x)) x) x)) (log (/ (/ (* (tan (/ x 2)) (sin x)) x) x)) (log (/ (/ (* (tan (/ x 2)) (sin x)) x) x)) (exp (/ (/ (* (tan (/ x 2)) (sin x)) x) x)) (* (/ (/ (* (tan (/ x 2)) (sin x)) x) x) (* (/ (/ (* (tan (/ x 2)) (sin x)) x) x) (/ (/ (* (tan (/ x 2)) (sin x)) x) x))) (* (/ (/ (* (tan (/ x 2)) (sin x)) x) x) (* (/ (/ (* (tan (/ x 2)) (sin x)) x) x) (/ (/ (* (tan (/ x 2)) (sin x)) x) x))) (* (/ (/ (* (tan (/ x 2)) (sin x)) x) x) (* (/ (/ (* (tan (/ x 2)) (sin x)) x) x) (/ (/ (* (tan (/ x 2)) (sin x)) x) x))) (* (cbrt (/ (/ (* (tan (/ x 2)) (sin x)) x) x)) (cbrt (/ (/ (* (tan (/ x 2)) (sin x)) x) x))) (cbrt (/ (/ (* (tan (/ x 2)) (sin x)) x) x)) (* (/ (/ (* (tan (/ x 2)) (sin x)) x) x) (* (/ (/ (* (tan (/ x 2)) (sin x)) x) x) (/ (/ (* (tan (/ x 2)) (sin x)) x) x))) (sqrt (/ (/ (* (tan (/ x 2)) (sin x)) x) x)) (sqrt (/ (/ (* (tan (/ x 2)) (sin x)) x) x)) (* (- (/ (sin x) x)) (tan (/ x 2))) (- 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 (/ x (* (tan (/ x 2)) (sin x)))) (/ (* (/ (tan (/ x 2)) (cbrt x)) (/ (sin x) x)) (cbrt x)) (* (tan (/ x 2)) (/ (/ (sin x) (sqrt x)) x)) (* (/ (sin x) x) (tan (/ x 2))) (/ x (tan (/ x 2))) (* (* x x) (cos (/ x 2))) (* (cos (/ x 2)) x) (* x x) (real->posit16 (/ (/ (* (tan (/ x 2)) (sin x)) x) x)) (fma (pow x 5) 1/720 (* x (- 1/2 (* (* x x) 1/24)))) (/ (sin (* 1/2 x)) (/ (* x (cos (* 1/2 x))) (sin x))) (/ (sin (* 1/2 x)) (/ (* x (cos (* 1/2 x))) (sin x))) (fma -1/6 (* x x) (fma 1/120 (* (* x x) (* x x)) 1)) (/ (sin x) x) (/ (sin x) x) (fma -1/24 (* x x) (fma 1/720 (* (* x x) (* x x)) 1/2)) (* (/ (/ (sin x) (* x (cos (* 1/2 x)))) x) (sin (* 1/2 x))) (* (/ (/ (sin x) (* x (cos (* 1/2 x)))) x) (sin (* 1/2 x))) 32.574 * * * [progress]: adding candidates to table 33.496 * [progress]: [Phase 3 of 3] Extracting. 33.496 * * [regime]: Finding splitpoints for: (# # # # #) 33.497 * * * [regime-changes]: Trying 1 branch expressions: (x) 33.497 * * * * [regimes]: Trying to branch on x from (# # # # #) 33.525 * * * [regime]: Found split indices: #