0.001 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.113 * * * [progress]: [2/2] Setting up program.
0.117 * [progress]: [Phase 2 of 3] Improving.
0.117 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))>
0.118 * [simplify]: Simplifying (/ (- 1 (cos x)) (* x x))
0.118 * * [simplify]: iteration 1: (6 enodes)
0.121 * * [simplify]: iteration 2: (27 enodes)
0.130 * * [simplify]: iteration 3: (45 enodes)
0.137 * * [simplify]: iteration 4: (56 enodes)
0.162 * * [simplify]: iteration 5: (60 enodes)
0.176 * * [simplify]: Extracting #0: cost 1 inf + 0
0.176 * * [simplify]: Extracting #1: cost 9 inf + 0
0.176 * * [simplify]: Extracting #2: cost 19 inf + 42
0.176 * * [simplify]: Extracting #3: cost 17 inf + 629
0.177 * * [simplify]: Extracting #4: cost 7 inf + 1764
0.177 * * [simplify]: Extracting #5: cost 0 inf + 2636
0.178 * [simplify]: Simplified to (/ (- 1 (cos x)) (* x x))
0.183 * * [progress]: iteration 1 / 4
0.183 * * * [progress]: picking best candidate
0.186 * * * * [pick]: Picked  #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))>
0.187 * * * [progress]: localizing error
0.210 * * * [progress]: generating rewritten candidates
0.210 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.245 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.253 * * * [progress]: generating series expansions
0.254 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.254 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2))
0.254 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0
0.254 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x
0.254 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x
0.254 * [taylor]: Taking taylor expansion of 1 in x
0.254 * [backup-simplify]: Simplify 1 into 1
0.254 * [taylor]: Taking taylor expansion of (cos x) in x
0.254 * [taylor]: Taking taylor expansion of x in x
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.254 * [taylor]: Taking taylor expansion of x in x
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.255 * [backup-simplify]: Simplify (- 1) into -1
0.255 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.255 * [backup-simplify]: Simplify (+ 0) into 0
0.256 * [backup-simplify]: Simplify (- 0) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.257 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.257 * [backup-simplify]: Simplify (- -1/2) into 1/2
0.257 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.257 * [backup-simplify]: Simplify (* 1 1) into 1
0.258 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.258 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x
0.258 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x
0.258 * [taylor]: Taking taylor expansion of 1 in x
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [taylor]: Taking taylor expansion of (cos x) in x
0.258 * [taylor]: Taking taylor expansion of x in x
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.258 * [taylor]: Taking taylor expansion of x in x
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [backup-simplify]: Simplify (- 1) into -1
0.258 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.259 * [backup-simplify]: Simplify (+ 0) into 0
0.259 * [backup-simplify]: Simplify (- 0) into 0
0.259 * [backup-simplify]: Simplify (+ 0 0) into 0
0.260 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.260 * [backup-simplify]: Simplify (- -1/2) into 1/2
0.260 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.260 * [backup-simplify]: Simplify (* 1 1) into 1
0.261 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.261 * [backup-simplify]: Simplify 1/2 into 1/2
0.262 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.262 * [backup-simplify]: Simplify (- 0) into 0
0.262 * [backup-simplify]: Simplify (+ 0 0) into 0
0.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.263 * [backup-simplify]: Simplify 0 into 0
0.264 * [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
0.265 * [backup-simplify]: Simplify (- 1/24) into -1/24
0.265 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.266 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
0.266 * [backup-simplify]: Simplify -1/24 into -1/24
0.267 * [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
0.268 * [backup-simplify]: Simplify (- 0) into 0
0.268 * [backup-simplify]: Simplify (+ 0 0) into 0
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
0.269 * [backup-simplify]: Simplify 0 into 0
0.272 * [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
0.272 * [backup-simplify]: Simplify (- -1/720) into 1/720
0.272 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.278 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
0.278 * [backup-simplify]: Simplify 1/720 into 1/720
0.279 * [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)))
0.279 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x))))
0.279 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0
0.279 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x
0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.279 * [taylor]: Taking taylor expansion of x in x
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
0.279 * [taylor]: Taking taylor expansion of 1 in x
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.279 * [taylor]: Taking taylor expansion of x in x
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (/ 1 1) into 1
0.279 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.279 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x
0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.279 * [taylor]: Taking taylor expansion of x in x
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
0.280 * [taylor]: Taking taylor expansion of 1 in x
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.280 * [taylor]: Taking taylor expansion of x in x
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (/ 1 1) into 1
0.280 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.280 * [backup-simplify]: Simplify (* 1 1) into 1
0.280 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x)))
0.280 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
0.280 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
0.281 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
0.281 * [backup-simplify]: Simplify (- 0) into 0
0.281 * [backup-simplify]: Simplify (+ 0 0) into 0
0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify (- 0) into 0
0.282 * [backup-simplify]: Simplify (+ 0 0) into 0
0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify (- 0) into 0
0.284 * [backup-simplify]: Simplify (+ 0 0) into 0
0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify (- 0) into 0
0.286 * [backup-simplify]: Simplify (+ 0 0) into 0
0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify (- 0) into 0
0.289 * [backup-simplify]: Simplify (+ 0 0) into 0
0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify (- 0) into 0
0.293 * [backup-simplify]: Simplify (+ 0 0) into 0
0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2))
0.298 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x))))
0.298 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0
0.298 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x
0.298 * [taylor]: Taking taylor expansion of (pow x 2) 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
0.298 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 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 (/ -1 x)) in x
0.298 * [taylor]: Taking taylor expansion of (/ -1 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 x in x
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify (/ -1 1) into -1
0.299 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.299 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x
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
0.299 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x
0.299 * [taylor]: Taking taylor expansion of 1 in x
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.299 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.299 * [taylor]: Taking taylor expansion of -1 in x
0.299 * [backup-simplify]: Simplify -1 into -1
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
0.299 * [backup-simplify]: Simplify (/ -1 1) into -1
0.300 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.300 * [backup-simplify]: Simplify (* 1 1) into 1
0.300 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x)))
0.300 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
0.300 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
0.300 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x)))
0.301 * [backup-simplify]: Simplify (- 0) into 0
0.301 * [backup-simplify]: Simplify (+ 0 0) into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0
0.302 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify (- 0) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (- 0) into 0
0.306 * [backup-simplify]: Simplify (+ 0 0) into 0
0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify (- 0) into 0
0.309 * [backup-simplify]: Simplify (+ 0 0) into 0
0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (- 0) into 0
0.312 * [backup-simplify]: Simplify (+ 0 0) into 0
0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify (- 0) into 0
0.316 * [backup-simplify]: Simplify (+ 0 0) into 0
0.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2))
0.320 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.320 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x))
0.320 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0
0.320 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x
0.320 * [taylor]: Taking taylor expansion of 1 in x
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [taylor]: Taking taylor expansion of (cos x) in x
0.320 * [taylor]: Taking taylor expansion of x in x
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x
0.320 * [taylor]: Taking taylor expansion of 1 in x
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [taylor]: Taking taylor expansion of (cos x) in x
0.320 * [taylor]: Taking taylor expansion of x in x
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (- 1) into -1
0.321 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify (+ 0) into 0
0.321 * [backup-simplify]: Simplify (- 0) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.322 * [backup-simplify]: Simplify (- -1/2) into 1/2
0.323 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.323 * [backup-simplify]: Simplify 1/2 into 1/2
0.323 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.324 * [backup-simplify]: Simplify (- 0) into 0
0.324 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.325 * [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
0.326 * [backup-simplify]: Simplify (- 1/24) into -1/24
0.326 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24
0.326 * [backup-simplify]: Simplify -1/24 into -1/24
0.327 * [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
0.327 * [backup-simplify]: Simplify (- 0) into 0
0.328 * [backup-simplify]: Simplify (+ 0 0) into 0
0.328 * [backup-simplify]: Simplify 0 into 0
0.330 * [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
0.331 * [backup-simplify]: Simplify (- -1/720) into 1/720
0.331 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720
0.331 * [backup-simplify]: Simplify 1/720 into 1/720
0.331 * [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)))
0.331 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
0.331 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0
0.331 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
0.331 * [taylor]: Taking taylor expansion of 1 in x
0.331 * [backup-simplify]: Simplify 1 into 1
0.331 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.331 * [taylor]: Taking taylor expansion of x in x
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (/ 1 1) into 1
0.332 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.332 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
0.332 * [taylor]: Taking taylor expansion of 1 in x
0.332 * [backup-simplify]: Simplify 1 into 1
0.332 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.332 * [taylor]: Taking taylor expansion of x in x
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (/ 1 1) into 1
0.332 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.332 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x)))
0.332 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
0.332 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
0.333 * [backup-simplify]: Simplify (- 0) into 0
0.333 * [backup-simplify]: Simplify (+ 0 0) into 0
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify (- 0) into 0
0.333 * [backup-simplify]: Simplify (+ 0 0) into 0
0.333 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify (- 0) into 0
0.334 * [backup-simplify]: Simplify (+ 0 0) into 0
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify (- 0) into 0
0.334 * [backup-simplify]: Simplify (+ 0 0) into 0
0.334 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify (- 0) into 0
0.335 * [backup-simplify]: Simplify (+ 0 0) into 0
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify (- 0) into 0
0.335 * [backup-simplify]: Simplify (+ 0 0) into 0
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x))
0.335 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x)))
0.335 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0
0.336 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x
0.336 * [taylor]: Taking taylor expansion of 1 in x
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.336 * [taylor]: Taking taylor expansion of -1 in x
0.336 * [backup-simplify]: Simplify -1 into -1
0.336 * [taylor]: Taking taylor expansion of x in x
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (/ -1 1) into -1
0.336 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.336 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x
0.336 * [taylor]: Taking taylor expansion of 1 in x
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.336 * [taylor]: Taking taylor expansion of -1 in x
0.336 * [backup-simplify]: Simplify -1 into -1
0.336 * [taylor]: Taking taylor expansion of x in x
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.337 * [backup-simplify]: Simplify (/ -1 1) into -1
0.337 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.337 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x)))
0.337 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
0.337 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x)))
0.337 * [backup-simplify]: Simplify (- 0) into 0
0.337 * [backup-simplify]: Simplify (+ 0 0) into 0
0.337 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify (- 0) into 0
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify (- 0) into 0
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (- 0) into 0
0.339 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (- 0) into 0
0.339 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (- 0) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x))
0.340 * * * [progress]: simplifying candidates
0.340 * * * * [progress]: [ 1 / 69 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (/ (- 1 (cos x)) (* x x)))))>
0.340 * * * * [progress]: [ 2 / 69 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (/ (- 1 (cos x)) (* x x)))))>
0.340 * * * * [progress]: [ 3 / 69 ] simplifiying candidate #<alt (λ (x) (pow (/ (- 1 (cos x)) (* x x)) 1))>
0.340 * * * * [progress]: [ 4 / 69 ] simplifiying candidate #<alt (λ (x) (exp (- (log (- 1 (cos x))) (+ (log x) (log x)))))>
0.340 * * * * [progress]: [ 5 / 69 ] simplifiying candidate #<alt (λ (x) (exp (- (log (- 1 (cos x))) (log (* x x)))))>
0.340 * * * * [progress]: [ 6 / 69 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (- 1 (cos x)) (* x x)))))>
0.340 * * * * [progress]: [ 7 / 69 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (- 1 (cos x)) (* x x)))))>
0.340 * * * * [progress]: [ 8 / 69 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) x) (* (* x x) x)))))>
0.340 * * * * [progress]: [ 9 / 69 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x)))))>
0.340 * * * * [progress]: [ 10 / 69 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x)))))>
0.340 * * * * [progress]: [ 11 / 69 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x)))))>
0.340 * * * * [progress]: [ 12 / 69 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x)))))>
0.340 * * * * [progress]: [ 13 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- (- 1 (cos x))) (- (* x x))))>
0.340 * * * * [progress]: [ 14 / 69 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (* x x)) (/ (cos x) (* x x))))>
0.340 * * * * [progress]: [ 15 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x) (/ (cbrt (- 1 (cos x))) x)))>
0.341 * * * * [progress]: [ 16 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x)))>
0.341 * * * * [progress]: [ 17 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x)))>
0.341 * * * * [progress]: [ 18 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt 1) (sqrt (cos x))) x) (/ (- (sqrt 1) (sqrt (cos x))) x)))>
0.341 * * * * [progress]: [ 19 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x)))>
0.341 * * * * [progress]: [ 20 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x)))>
0.341 * * * * [progress]: [ 21 / 69 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (- 1 (cos x)) (* x x))))>
0.341 * * * * [progress]: [ 22 / 69 ] simplifiying candidate #<alt (λ (x) (* (- 1 (cos x)) (/ 1 (* x x))))>
0.341 * * * * [progress]: [ 23 / 69 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
0.341 * * * * [progress]: [ 24 / 69 ] simplifiying candidate #<alt (λ (x) (/ (/ (- 1 (cos x)) x) x))>
0.341 * * * * [progress]: [ 25 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (/ (* x x) (cbrt (- 1 (cos x))))))>
0.341 * * * * [progress]: [ 26 / 69 ] simplifiying candidate #<alt (λ (x) (/ (sqrt (- 1 (cos x))) (/ (* x x) (sqrt (- 1 (cos x))))))>
0.341 * * * * [progress]: [ 27 / 69 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
0.341 * * * * [progress]: [ 28 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (sqrt 1) (sqrt (cos x))) (/ (* x x) (- (sqrt 1) (sqrt (cos x))))))>
0.341 * * * * [progress]: [ 29 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ 1 (sqrt (cos x))) (/ (* x x) (- 1 (sqrt (cos x))))))>
0.341 * * * * [progress]: [ 30 / 69 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
0.341 * * * * [progress]: [ 31 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- (pow 1 3) (pow (cos x) 3)) (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))))))>
0.341 * * * * [progress]: [ 32 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- (* 1 1) (* (cos x) (cos x))) (* (* x x) (+ 1 (cos x)))))>
0.341 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #<alt (λ (x) (posit16->real (real->posit16 (/ (- 1 (cos x)) (* x x)))))>
0.341 * * * * [progress]: [ 34 / 69 ] simplifiying candidate #<alt (λ (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)))))) (* x x)))>
0.341 * * * * [progress]: [ 35 / 69 ] simplifiying candidate #<alt (λ (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))))) (* x x)))>
0.341 * * * * [progress]: [ 36 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1))) (* x x)))>
0.341 * * * * [progress]: [ 37 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (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)))))) (* x x)))>
0.341 * * * * [progress]: [ 38 / 69 ] simplifiying candidate #<alt (λ (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))))) (* x x)))>
0.341 * * * * [progress]: [ 39 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1) (sqrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1))) (* x x)))>
0.341 * * * * [progress]: [ 40 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (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)))))) (* x x)))>
0.341 * * * * [progress]: [ 41 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x))))) (* x x)))>
0.341 * * * * [progress]: [ 42 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1))) (* x x)))>
0.341 * * * * [progress]: [ 43 / 69 ] simplifiying candidate #<alt (λ (x) (/ (log1p (expm1 (- 1 (cos x)))) (* x x)))>
0.342 * * * * [progress]: [ 44 / 69 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1 (cos x)))) (* x x)))>
0.342 * * * * [progress]: [ 45 / 69 ] simplifiying candidate #<alt (λ (x) (/ (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (cos x))) (* x x)))>
0.342 * * * * [progress]: [ 46 / 69 ] simplifiying candidate #<alt (λ (x) (/ (fma (sqrt 1) (sqrt 1) (- (cos x))) (* x x)))>
0.342 * * * * [progress]: [ 47 / 69 ] simplifiying candidate #<alt (λ (x) (/ (fma 1 1 (- (cos x))) (* x x)))>
0.342 * * * * [progress]: [ 48 / 69 ] simplifiying candidate #<alt (λ (x) (/ (log (/ (exp 1) (exp (cos x)))) (* x x)))>
0.342 * * * * [progress]: [ 49 / 69 ] simplifiying candidate #<alt (λ (x) (/ (pow (- 1 (cos x)) 1) (* x x)))>
0.342 * * * * [progress]: [ 50 / 69 ] simplifiying candidate #<alt (λ (x) (/ (exp (log (- 1 (cos x)))) (* x x)))>
0.342 * * * * [progress]: [ 51 / 69 ] simplifiying candidate #<alt (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x)))>
0.342 * * * * [progress]: [ 52 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x)))) (* x x)))>
0.342 * * * * [progress]: [ 53 / 69 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x)))) (* x x)))>
0.342 * * * * [progress]: [ 54 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x)))) (* x x)))>
0.342 * * * * [progress]: [ 55 / 69 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))) (* x x)))>
0.342 * * * * [progress]: [ 56 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ 1 (- (cos x))) (* x x)))>
0.342 * * * * [progress]: [ 57 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (- 1 (cos x))) (* x x)))>
0.342 * * * * [progress]: [ 58 / 69 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (* 1 1) (* (cos x) (cos x))) (+ 1 (cos x))) (* x x)))>
0.342 * * * * [progress]: [ 59 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* (+ (sqrt 1) (sqrt (cos x))) (- (sqrt 1) (sqrt (cos x)))) (* x x)))>
0.342 * * * * [progress]: [ 60 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x)))) (* x x)))>
0.342 * * * * [progress]: [ 61 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (- 1 (cos x))) (* x x)))>
0.342 * * * * [progress]: [ 62 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ 1 (- (cos x))) (* x x)))>
0.342 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #<alt (λ (x) (/ (posit16->real (real->posit16 (- 1 (cos x)))) (* x x)))>
0.342 * * * * [progress]: [ 64 / 69 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
0.342 * * * * [progress]: [ 65 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (pow x 2)))>
0.342 * * * * [progress]: [ 66 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (pow x 2)))>
0.342 * * * * [progress]: [ 67 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)))>
0.342 * * * * [progress]: [ 68 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))>
0.342 * * * * [progress]: [ 69 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))>
0.343 * [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))
0.344 * * [simplify]: iteration 1: (121 enodes)
0.416 * * [simplify]: iteration 2: (487 enodes)
0.578 * * [simplify]: iteration 3: (1039 enodes)
1.119 * * [simplify]: Extracting #0: cost 47 inf + 0
1.120 * * [simplify]: Extracting #1: cost 293 inf + 0
1.125 * * [simplify]: Extracting #2: cost 503 inf + 7171
1.141 * * [simplify]: Extracting #3: cost 301 inf + 46414
1.182 * * [simplify]: Extracting #4: cost 49 inf + 102968
1.226 * * [simplify]: Extracting #5: cost 1 inf + 115308
1.267 * * [simplify]: Extracting #6: cost 0 inf + 115449
1.297 * [simplify]: Simplified to (expm1 (/ (/ (- 1 (cos x)) x) x)), (log1p (/ (/ (- 1 (cos x)) x) x)), (log (/ (/ (- 1 (cos x)) x) x)), (log (/ (/ (- 1 (cos x)) x) x)), (log (/ (/ (- 1 (cos x)) x) x)), (exp (/ (/ (- 1 (cos x)) x) x)), (* (/ (- 1 (cos x)) (* x x)) (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)))), (* (/ (- 1 (cos x)) (* x x)) (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)))), (* (cbrt (/ (/ (- 1 (cos x)) x) x)) (cbrt (/ (/ (- 1 (cos x)) x) x))), (cbrt (/ (/ (- 1 (cos x)) x) x)), (* (/ (- 1 (cos x)) (* x x)) (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)))), (sqrt (/ (/ (- 1 (cos x)) x) x)), (sqrt (/ (/ (- 1 (cos x)) x) x)), (- (- 1 (cos x))), (* (- x) x), (/ (/ 1 x) x), (/ (cos x) (* x x)), (/ (cbrt (- 1 (cos x))) (/ x (cbrt (- 1 (cos x))))), (/ (cbrt (- 1 (cos x))) x), (/ (sqrt (- 1 (cos x))) x), (/ (sqrt (- 1 (cos x))) x), (/ 1 x), (/ (- 1 (cos x)) x), (/ (+ 1 (sqrt (cos x))) x), (/ (- 1 (sqrt (cos x))) x), (/ (+ 1 (sqrt (cos x))) x), (/ (- 1 (sqrt (cos x))) x), (/ 1 x), (/ (- 1 (cos x)) x), (/ (/ 1 x) x), (* (/ x (- 1 (cos x))) x), (/ (- 1 (cos x)) x), (/ (* x x) (cbrt (- 1 (cos x)))), (/ (* x x) (sqrt (- 1 (cos x)))), (* (/ x (- 1 (cos x))) x), (/ (* x x) (- 1 (sqrt (cos x)))), (/ (* x x) (- 1 (sqrt (cos x)))), (* (/ x (- 1 (cos x))) x), (fma (fma (cos x) (cos x) (cos x)) (* x x) (* x x)), (* (fma x (cos x) x) x), (real->posit16 (/ (/ (- 1 (cos x)) x) x)), (- 1 (cos x)), (* (cos x) 0), (- 1 (cos x)), (* (cos x) 0), (- 1 (cos x)), (* (cos x) 0), (- 1 (cos x)), (* (cos x) 0), (- 1 (cos x)), (* (cos x) 0), (- 1 (cos x)), (* (cos x) 0), (- 1 (cos x)), (* (cos x) 0), (- 1 (cos x)), (* (cos x) 0), (- 1 (cos x)), (* (cos x) 0), (expm1 (- 1 (cos x))), (log1p (- 1 (cos x))), (- (cos x)), (- (cos x)), (- (cos x)), (/ E (exp (cos x))), (log (- 1 (cos x))), (/ E (exp (cos x))), (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))), (cbrt (- 1 (cos x))), (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))), (sqrt (- 1 (cos x))), (sqrt (- 1 (cos x))), (- 1 (* (cos x) (* (cos x) (cos x)))), (fma (cos x) (+ (cos x) 1) 1), (- (cos x)), (* (sin x) (sin x)), (+ (cos x) 1), (+ 1 (sqrt (cos x))), (- 1 (sqrt (cos x))), (+ 1 (sqrt (cos x))), (- 1 (sqrt (cos x))), (- 1 (cos x)), (- (cos x)), (real->posit16 (- 1 (cos x))), (fma (* x x) -1/24 (fma (* 1/720 (* x x)) (* x x) 1/2)), (/ (/ (- 1 (cos x)) x) x), (/ (/ (- 1 (cos x)) x) x), (fma (* (* x x) (* x x)) -1/24 (fma 1/720 (* (* (* x x) (* x x)) (* x x)) (* 1/2 (* x x)))), (- 1 (cos x)), (- 1 (cos x))
1.300 * * * [progress]: adding candidates to table
1.734 * * [progress]: iteration 2 / 4
1.734 * * * [progress]: picking best candidate
1.755 * * * * [pick]: Picked  #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
1.755 * * * [progress]: localizing error
1.785 * * * [progress]: generating rewritten candidates
1.785 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
1.805 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
1.814 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
1.829 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
1.848 * * * [progress]: generating series expansions
1.849 * * * * [progress]: [ 1 / 4 ] generating series at (2)
1.849 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
1.849 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0
1.849 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x
1.849 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
1.849 * [taylor]: Taking taylor expansion of (sin x) in x
1.849 * [taylor]: Taking taylor expansion of x in x
1.849 * [backup-simplify]: Simplify 0 into 0
1.849 * [backup-simplify]: Simplify 1 into 1
1.850 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.850 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x
1.850 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.850 * [taylor]: Taking taylor expansion of x in x
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [backup-simplify]: Simplify 1 into 1
1.850 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
1.850 * [taylor]: Taking taylor expansion of (cos x) in x
1.850 * [taylor]: Taking taylor expansion of x in x
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [backup-simplify]: Simplify 1 into 1
1.850 * [taylor]: Taking taylor expansion of 1 in x
1.850 * [backup-simplify]: Simplify 1 into 1
1.850 * [backup-simplify]: Simplify (* 1 1) into 1
1.851 * [backup-simplify]: Simplify (* 1 1) into 1
1.851 * [backup-simplify]: Simplify (+ 1 1) into 2
1.851 * [backup-simplify]: Simplify (* 1 2) into 2
1.851 * [backup-simplify]: Simplify (/ 1 2) into 1/2
1.851 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x
1.851 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
1.851 * [taylor]: Taking taylor expansion of (sin x) in x
1.851 * [taylor]: Taking taylor expansion of x in x
1.851 * [backup-simplify]: Simplify 0 into 0
1.851 * [backup-simplify]: Simplify 1 into 1
1.852 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.852 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x
1.852 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.852 * [taylor]: Taking taylor expansion of x in x
1.852 * [backup-simplify]: Simplify 0 into 0
1.852 * [backup-simplify]: Simplify 1 into 1
1.852 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
1.852 * [taylor]: Taking taylor expansion of (cos x) in x
1.852 * [taylor]: Taking taylor expansion of x in x
1.852 * [backup-simplify]: Simplify 0 into 0
1.852 * [backup-simplify]: Simplify 1 into 1
1.852 * [taylor]: Taking taylor expansion of 1 in x
1.852 * [backup-simplify]: Simplify 1 into 1
1.852 * [backup-simplify]: Simplify (* 1 1) into 1
1.852 * [backup-simplify]: Simplify (* 1 1) into 1
1.853 * [backup-simplify]: Simplify (+ 1 1) into 2
1.853 * [backup-simplify]: Simplify (* 1 2) into 2
1.853 * [backup-simplify]: Simplify (/ 1 2) into 1/2
1.853 * [backup-simplify]: Simplify 1/2 into 1/2
1.854 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.854 * [backup-simplify]: Simplify (+ 0) into 0
1.855 * [backup-simplify]: Simplify (+ 0 0) into 0
1.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0
1.856 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
1.856 * [backup-simplify]: Simplify 0 into 0
1.857 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
1.857 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
1.858 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
1.858 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
1.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.859 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2
1.860 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24
1.860 * [backup-simplify]: Simplify -1/24 into -1/24
1.862 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
1.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
1.864 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.864 * [backup-simplify]: Simplify (+ 0 0) into 0
1.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0
1.868 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0
1.868 * [backup-simplify]: Simplify 0 into 0
1.871 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
1.873 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
1.875 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
1.876 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24
1.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.879 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24
1.881 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720
1.881 * [backup-simplify]: Simplify 1/720 into 1/720
1.882 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))
1.882 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1))
1.882 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0
1.882 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x
1.882 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x
1.882 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
1.882 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
1.882 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.882 * [taylor]: Taking taylor expansion of x in x
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [backup-simplify]: Simplify 1 into 1
1.883 * [backup-simplify]: Simplify (/ 1 1) into 1
1.883 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
1.883 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.883 * [taylor]: Taking taylor expansion of x in x
1.883 * [backup-simplify]: Simplify 0 into 0
1.883 * [backup-simplify]: Simplify 1 into 1
1.883 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
1.883 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.883 * [taylor]: Taking taylor expansion of x in x
1.883 * [backup-simplify]: Simplify 0 into 0
1.883 * [backup-simplify]: Simplify 1 into 1
1.883 * [backup-simplify]: Simplify (/ 1 1) into 1
1.884 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
1.884 * [taylor]: Taking taylor expansion of 1 in x
1.884 * [backup-simplify]: Simplify 1 into 1
1.884 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
1.884 * [backup-simplify]: Simplify (* 1 1) into 1
1.884 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2)
1.884 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
1.884 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
1.884 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x
1.885 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x
1.885 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
1.885 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
1.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.885 * [taylor]: Taking taylor expansion of x in x
1.885 * [backup-simplify]: Simplify 0 into 0
1.885 * [backup-simplify]: Simplify 1 into 1
1.885 * [backup-simplify]: Simplify (/ 1 1) into 1
1.885 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
1.885 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.885 * [taylor]: Taking taylor expansion of x in x
1.885 * [backup-simplify]: Simplify 0 into 0
1.885 * [backup-simplify]: Simplify 1 into 1
1.885 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
1.885 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.885 * [taylor]: Taking taylor expansion of x in x
1.885 * [backup-simplify]: Simplify 0 into 0
1.885 * [backup-simplify]: Simplify 1 into 1
1.886 * [backup-simplify]: Simplify (/ 1 1) into 1
1.886 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
1.886 * [taylor]: Taking taylor expansion of 1 in x
1.886 * [backup-simplify]: Simplify 1 into 1
1.886 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
1.886 * [backup-simplify]: Simplify (* 1 1) into 1
1.886 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2)
1.886 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
1.886 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
1.886 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
1.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.887 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
1.887 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0
1.887 * [backup-simplify]: Simplify (+ 0 0) into 0
1.888 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.889 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
1.889 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
1.889 * [backup-simplify]: Simplify (+ 0 0) into 0
1.890 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.890 * [backup-simplify]: Simplify 0 into 0
1.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.891 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
1.891 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.892 * [backup-simplify]: Simplify (+ 0 0) into 0
1.892 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.892 * [backup-simplify]: Simplify 0 into 0
1.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.893 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
1.894 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.894 * [backup-simplify]: Simplify (+ 0 0) into 0
1.895 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.895 * [backup-simplify]: Simplify 0 into 0
1.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.897 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
1.897 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.900 * [backup-simplify]: Simplify (+ 0 0) into 0
1.900 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.900 * [backup-simplify]: Simplify 0 into 0
1.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
1.903 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
1.903 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
1.904 * [backup-simplify]: Simplify (+ 0 0) into 0
1.904 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.904 * [backup-simplify]: Simplify 0 into 0
1.904 * [backup-simplify]: Simplify (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
1.904 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1))
1.904 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0
1.905 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x
1.905 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x
1.905 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.905 * [taylor]: Taking taylor expansion of x in x
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify 1 into 1
1.905 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
1.905 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
1.905 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.905 * [taylor]: Taking taylor expansion of -1 in x
1.905 * [backup-simplify]: Simplify -1 into -1
1.905 * [taylor]: Taking taylor expansion of x in x
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify 1 into 1
1.905 * [backup-simplify]: Simplify (/ -1 1) into -1
1.905 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
1.905 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
1.905 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.905 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.905 * [taylor]: Taking taylor expansion of -1 in x
1.905 * [backup-simplify]: Simplify -1 into -1
1.905 * [taylor]: Taking taylor expansion of x in x
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify 1 into 1
1.906 * [backup-simplify]: Simplify (/ -1 1) into -1
1.906 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
1.906 * [taylor]: Taking taylor expansion of 1 in x
1.906 * [backup-simplify]: Simplify 1 into 1
1.906 * [backup-simplify]: Simplify (* 1 1) into 1
1.906 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
1.906 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2)
1.906 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
1.906 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
1.906 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x
1.906 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x
1.906 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.906 * [taylor]: Taking taylor expansion of x in x
1.906 * [backup-simplify]: Simplify 0 into 0
1.906 * [backup-simplify]: Simplify 1 into 1
1.906 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
1.906 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
1.906 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.906 * [taylor]: Taking taylor expansion of -1 in x
1.906 * [backup-simplify]: Simplify -1 into -1
1.906 * [taylor]: Taking taylor expansion of x in x
1.906 * [backup-simplify]: Simplify 0 into 0
1.906 * [backup-simplify]: Simplify 1 into 1
1.907 * [backup-simplify]: Simplify (/ -1 1) into -1
1.907 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
1.907 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
1.907 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.907 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.907 * [taylor]: Taking taylor expansion of -1 in x
1.907 * [backup-simplify]: Simplify -1 into -1
1.907 * [taylor]: Taking taylor expansion of x in x
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify 1 into 1
1.908 * [backup-simplify]: Simplify (/ -1 1) into -1
1.908 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
1.908 * [taylor]: Taking taylor expansion of 1 in x
1.908 * [backup-simplify]: Simplify 1 into 1
1.908 * [backup-simplify]: Simplify (* 1 1) into 1
1.908 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
1.908 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2)
1.908 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
1.908 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
1.909 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
1.909 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
1.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0
1.910 * [backup-simplify]: Simplify (+ 0 0) into 0
1.910 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.910 * [backup-simplify]: Simplify 0 into 0
1.911 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
1.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0
1.912 * [backup-simplify]: Simplify (+ 0 0) into 0
1.912 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.912 * [backup-simplify]: Simplify 0 into 0
1.913 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
1.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0
1.914 * [backup-simplify]: Simplify (+ 0 0) into 0
1.915 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.915 * [backup-simplify]: Simplify 0 into 0
1.916 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
1.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0
1.918 * [backup-simplify]: Simplify (+ 0 0) into 0
1.918 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.918 * [backup-simplify]: Simplify 0 into 0
1.919 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
1.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0
1.922 * [backup-simplify]: Simplify (+ 0 0) into 0
1.922 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.922 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
1.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
1.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0
1.929 * [backup-simplify]: Simplify (+ 0 0) into 0
1.930 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.930 * [backup-simplify]: Simplify 0 into 0
1.930 * [backup-simplify]: Simplify (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
1.930 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
1.930 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1)
1.930 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0
1.930 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
1.930 * [taylor]: Taking taylor expansion of (cos x) in x
1.930 * [taylor]: Taking taylor expansion of x in x
1.930 * [backup-simplify]: Simplify 0 into 0
1.930 * [backup-simplify]: Simplify 1 into 1
1.930 * [taylor]: Taking taylor expansion of 1 in x
1.930 * [backup-simplify]: Simplify 1 into 1
1.930 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
1.930 * [taylor]: Taking taylor expansion of (cos x) in x
1.930 * [taylor]: Taking taylor expansion of x in x
1.930 * [backup-simplify]: Simplify 0 into 0
1.930 * [backup-simplify]: Simplify 1 into 1
1.931 * [taylor]: Taking taylor expansion of 1 in x
1.931 * [backup-simplify]: Simplify 1 into 1
1.931 * [backup-simplify]: Simplify (+ 1 1) into 2
1.931 * [backup-simplify]: Simplify 2 into 2
1.932 * [backup-simplify]: Simplify (+ 0) into 0
1.932 * [backup-simplify]: Simplify (+ 0 0) into 0
1.932 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
1.933 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
1.933 * [backup-simplify]: Simplify -1/2 into -1/2
1.935 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.935 * [backup-simplify]: Simplify (+ 0 0) into 0
1.935 * [backup-simplify]: Simplify 0 into 0
1.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
1.937 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24
1.938 * [backup-simplify]: Simplify 1/24 into 1/24
1.938 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2)) into (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2)))
1.938 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
1.938 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0
1.938 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
1.938 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.938 * [taylor]: Taking taylor expansion of x in x
1.938 * [backup-simplify]: Simplify 0 into 0
1.938 * [backup-simplify]: Simplify 1 into 1
1.938 * [backup-simplify]: Simplify (/ 1 1) into 1
1.938 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
1.938 * [taylor]: Taking taylor expansion of 1 in x
1.938 * [backup-simplify]: Simplify 1 into 1
1.938 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
1.938 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.938 * [taylor]: Taking taylor expansion of x in x
1.938 * [backup-simplify]: Simplify 0 into 0
1.938 * [backup-simplify]: Simplify 1 into 1
1.939 * [backup-simplify]: Simplify (/ 1 1) into 1
1.939 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
1.939 * [taylor]: Taking taylor expansion of 1 in x
1.939 * [backup-simplify]: Simplify 1 into 1
1.939 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
1.939 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
1.939 * [backup-simplify]: Simplify (+ 0 0) into 0
1.939 * [backup-simplify]: Simplify 0 into 0
1.939 * [backup-simplify]: Simplify (+ 0 0) into 0
1.939 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify (+ 0 0) into 0
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify (+ 0 0) into 0
1.940 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify (+ 0 0) into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify (+ 0 0) into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1)
1.941 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1)
1.941 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0
1.941 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
1.941 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.941 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.941 * [taylor]: Taking taylor expansion of -1 in x
1.941 * [backup-simplify]: Simplify -1 into -1
1.941 * [taylor]: Taking taylor expansion of x in x
1.942 * [backup-simplify]: Simplify 0 into 0
1.942 * [backup-simplify]: Simplify 1 into 1
1.942 * [backup-simplify]: Simplify (/ -1 1) into -1
1.942 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
1.942 * [taylor]: Taking taylor expansion of 1 in x
1.942 * [backup-simplify]: Simplify 1 into 1
1.942 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
1.942 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.942 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.942 * [taylor]: Taking taylor expansion of -1 in x
1.942 * [backup-simplify]: Simplify -1 into -1
1.942 * [taylor]: Taking taylor expansion of x in x
1.942 * [backup-simplify]: Simplify 0 into 0
1.942 * [backup-simplify]: Simplify 1 into 1
1.942 * [backup-simplify]: Simplify (/ -1 1) into -1
1.942 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
1.942 * [taylor]: Taking taylor expansion of 1 in x
1.942 * [backup-simplify]: Simplify 1 into 1
1.943 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
1.943 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
1.943 * [backup-simplify]: Simplify (+ 0 0) into 0
1.943 * [backup-simplify]: Simplify 0 into 0
1.943 * [backup-simplify]: Simplify (+ 0 0) into 0
1.943 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify (+ 0 0) into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify (+ 0 0) into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify (+ 0 0) into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify (+ 0 0) into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1)
1.945 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
1.945 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2)
1.945 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0
1.945 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
1.945 * [taylor]: Taking taylor expansion of (sin x) in x
1.945 * [taylor]: Taking taylor expansion of x in x
1.945 * [backup-simplify]: Simplify 0 into 0
1.945 * [backup-simplify]: Simplify 1 into 1
1.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.945 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
1.945 * [taylor]: Taking taylor expansion of (sin x) in x
1.945 * [taylor]: Taking taylor expansion of x in x
1.945 * [backup-simplify]: Simplify 0 into 0
1.945 * [backup-simplify]: Simplify 1 into 1
1.946 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.946 * [backup-simplify]: Simplify (* 1 1) into 1
1.946 * [backup-simplify]: Simplify 1 into 1
1.946 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.947 * [backup-simplify]: Simplify 0 into 0
1.948 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
1.948 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
1.948 * [backup-simplify]: Simplify -1/3 into -1/3
1.949 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
1.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
1.950 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
1.953 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
1.953 * [backup-simplify]: Simplify 2/45 into 2/45
1.953 * [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)))
1.953 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
1.953 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0
1.953 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
1.953 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
1.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.953 * [taylor]: Taking taylor expansion of x in x
1.953 * [backup-simplify]: Simplify 0 into 0
1.953 * [backup-simplify]: Simplify 1 into 1
1.953 * [backup-simplify]: Simplify (/ 1 1) into 1
1.954 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
1.954 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
1.954 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
1.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.954 * [taylor]: Taking taylor expansion of x in x
1.954 * [backup-simplify]: Simplify 0 into 0
1.954 * [backup-simplify]: Simplify 1 into 1
1.954 * [backup-simplify]: Simplify (/ 1 1) into 1
1.954 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
1.954 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
1.954 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2)
1.954 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
1.954 * [backup-simplify]: Simplify 0 into 0
1.955 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
1.955 * [backup-simplify]: Simplify 0 into 0
1.955 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
1.955 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
1.956 * [backup-simplify]: Simplify 0 into 0
1.957 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
1.957 * [backup-simplify]: Simplify 0 into 0
1.958 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
1.958 * [backup-simplify]: Simplify 0 into 0
1.958 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2)
1.958 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2)
1.958 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0
1.958 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
1.958 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
1.958 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.958 * [taylor]: Taking taylor expansion of -1 in x
1.958 * [backup-simplify]: Simplify -1 into -1
1.958 * [taylor]: Taking taylor expansion of x in x
1.958 * [backup-simplify]: Simplify 0 into 0
1.958 * [backup-simplify]: Simplify 1 into 1
1.959 * [backup-simplify]: Simplify (/ -1 1) into -1
1.959 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
1.959 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
1.959 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
1.959 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.959 * [taylor]: Taking taylor expansion of -1 in x
1.959 * [backup-simplify]: Simplify -1 into -1
1.959 * [taylor]: Taking taylor expansion of x in x
1.959 * [backup-simplify]: Simplify 0 into 0
1.959 * [backup-simplify]: Simplify 1 into 1
1.959 * [backup-simplify]: Simplify (/ -1 1) into -1
1.959 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
1.959 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
1.959 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2)
1.959 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
1.959 * [backup-simplify]: Simplify 0 into 0
1.960 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
1.960 * [backup-simplify]: Simplify 0 into 0
1.960 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
1.960 * [backup-simplify]: Simplify 0 into 0
1.961 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
1.961 * [backup-simplify]: Simplify 0 into 0
1.962 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
1.962 * [backup-simplify]: Simplify 0 into 0
1.963 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
1.963 * [backup-simplify]: Simplify 0 into 0
1.963 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2)
1.963 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
1.963 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1))
1.963 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0
1.963 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x
1.964 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
1.964 * [taylor]: Taking taylor expansion of (sin x) in x
1.964 * [taylor]: Taking taylor expansion of x in x
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify 1 into 1
1.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.964 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
1.964 * [taylor]: Taking taylor expansion of (cos x) in x
1.964 * [taylor]: Taking taylor expansion of x in x
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify 1 into 1
1.964 * [taylor]: Taking taylor expansion of 1 in x
1.964 * [backup-simplify]: Simplify 1 into 1
1.964 * [backup-simplify]: Simplify (* 1 1) into 1
1.965 * [backup-simplify]: Simplify (+ 1 1) into 2
1.965 * [backup-simplify]: Simplify (/ 1 2) into 1/2
1.965 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x
1.965 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
1.965 * [taylor]: Taking taylor expansion of (sin x) in x
1.965 * [taylor]: Taking taylor expansion of x in x
1.965 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify 1 into 1
1.966 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.967 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
1.967 * [taylor]: Taking taylor expansion of (cos x) in x
1.967 * [taylor]: Taking taylor expansion of x in x
1.967 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify 1 into 1
1.967 * [taylor]: Taking taylor expansion of 1 in x
1.967 * [backup-simplify]: Simplify 1 into 1
1.967 * [backup-simplify]: Simplify (* 1 1) into 1
1.968 * [backup-simplify]: Simplify (+ 1 1) into 2
1.968 * [backup-simplify]: Simplify (/ 1 2) into 1/2
1.968 * [backup-simplify]: Simplify 1/2 into 1/2
1.969 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.970 * [backup-simplify]: Simplify (+ 0) into 0
1.971 * [backup-simplify]: Simplify (+ 0 0) into 0
1.972 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
1.972 * [backup-simplify]: Simplify 0 into 0
1.973 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
1.974 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
1.974 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
1.974 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
1.975 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24
1.975 * [backup-simplify]: Simplify -1/24 into -1/24
1.976 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
1.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
1.978 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.978 * [backup-simplify]: Simplify (+ 0 0) into 0
1.979 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0
1.979 * [backup-simplify]: Simplify 0 into 0
1.981 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
1.982 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
1.983 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
1.983 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24
1.985 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720
1.985 * [backup-simplify]: Simplify 1/720 into 1/720
1.985 * [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)))
1.985 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
1.985 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0
1.985 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x
1.985 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
1.985 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
1.985 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.985 * [taylor]: Taking taylor expansion of x in x
1.985 * [backup-simplify]: Simplify 0 into 0
1.985 * [backup-simplify]: Simplify 1 into 1
1.985 * [backup-simplify]: Simplify (/ 1 1) into 1
1.985 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
1.986 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
1.986 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.986 * [taylor]: Taking taylor expansion of x in x
1.986 * [backup-simplify]: Simplify 0 into 0
1.986 * [backup-simplify]: Simplify 1 into 1
1.986 * [backup-simplify]: Simplify (/ 1 1) into 1
1.986 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
1.986 * [taylor]: Taking taylor expansion of 1 in x
1.986 * [backup-simplify]: Simplify 1 into 1
1.986 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
1.986 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
1.986 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
1.986 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x
1.986 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
1.986 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
1.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.986 * [taylor]: Taking taylor expansion of x in x
1.986 * [backup-simplify]: Simplify 0 into 0
1.986 * [backup-simplify]: Simplify 1 into 1
1.986 * [backup-simplify]: Simplify (/ 1 1) into 1
1.987 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
1.987 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
1.987 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.987 * [taylor]: Taking taylor expansion of x in x
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 1 into 1
1.987 * [backup-simplify]: Simplify (/ 1 1) into 1
1.987 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
1.987 * [taylor]: Taking taylor expansion of 1 in x
1.987 * [backup-simplify]: Simplify 1 into 1
1.987 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
1.987 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
1.987 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
1.987 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
1.987 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
1.988 * [backup-simplify]: Simplify (+ 0 0) into 0
1.988 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.988 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
1.988 * [backup-simplify]: Simplify (+ 0 0) into 0
1.989 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.989 * [backup-simplify]: Simplify 0 into 0
1.989 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
1.990 * [backup-simplify]: Simplify (+ 0 0) into 0
1.990 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.990 * [backup-simplify]: Simplify 0 into 0
1.991 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
1.991 * [backup-simplify]: Simplify (+ 0 0) into 0
1.991 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.991 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
1.992 * [backup-simplify]: Simplify (+ 0 0) into 0
1.993 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.993 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
1.994 * [backup-simplify]: Simplify (+ 0 0) into 0
1.995 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1))
1.995 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
1.995 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0
1.995 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x
1.995 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
1.995 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
1.995 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.995 * [taylor]: Taking taylor expansion of -1 in x
1.995 * [backup-simplify]: Simplify -1 into -1
1.995 * [taylor]: Taking taylor expansion of x in x
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify 1 into 1
1.995 * [backup-simplify]: Simplify (/ -1 1) into -1
1.995 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
1.995 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
1.995 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.995 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.995 * [taylor]: Taking taylor expansion of -1 in x
1.996 * [backup-simplify]: Simplify -1 into -1
1.996 * [taylor]: Taking taylor expansion of x in x
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify 1 into 1
1.996 * [backup-simplify]: Simplify (/ -1 1) into -1
1.996 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
1.996 * [taylor]: Taking taylor expansion of 1 in x
1.996 * [backup-simplify]: Simplify 1 into 1
1.996 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
1.996 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
1.996 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
1.996 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x
1.996 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
1.996 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
1.996 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.996 * [taylor]: Taking taylor expansion of -1 in x
1.996 * [backup-simplify]: Simplify -1 into -1
1.996 * [taylor]: Taking taylor expansion of x in x
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify 1 into 1
1.997 * [backup-simplify]: Simplify (/ -1 1) into -1
1.997 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
1.997 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
1.997 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.997 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.997 * [taylor]: Taking taylor expansion of -1 in x
1.997 * [backup-simplify]: Simplify -1 into -1
1.997 * [taylor]: Taking taylor expansion of x in x
1.997 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify 1 into 1
1.999 * [backup-simplify]: Simplify (/ -1 1) into -1
1.999 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
1.999 * [taylor]: Taking taylor expansion of 1 in x
1.999 * [backup-simplify]: Simplify 1 into 1
1.999 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
1.999 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
1.999 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
1.999 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
1.999 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
2.000 * [backup-simplify]: Simplify (+ 0 0) into 0
2.000 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
2.000 * [backup-simplify]: Simplify (+ 0 0) into 0
2.001 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.001 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
2.002 * [backup-simplify]: Simplify (+ 0 0) into 0
2.003 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.003 * [backup-simplify]: Simplify 0 into 0
2.004 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
2.004 * [backup-simplify]: Simplify (+ 0 0) into 0
2.005 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.005 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
2.007 * [backup-simplify]: Simplify (+ 0 0) into 0
2.008 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.008 * [backup-simplify]: Simplify 0 into 0
2.010 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
2.010 * [backup-simplify]: Simplify (+ 0 0) into 0
2.011 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.011 * [backup-simplify]: Simplify 0 into 0
2.011 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1))
2.011 * * * [progress]: simplifying candidates
2.011 * * * * [progress]: [ 1 / 138 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.011 * * * * [progress]: [ 2 / 138 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.011 * * * * [progress]: [ 3 / 138 ] simplifiying candidate #<alt (λ (x) (pow (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) 1))>
2.011 * * * * [progress]: [ 4 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x)))))>
2.011 * * * * [progress]: [ 5 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x)))))>
2.012 * * * * [progress]: [ 6 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x)))))>
2.012 * * * * [progress]: [ 7 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x)))))>
2.012 * * * * [progress]: [ 8 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x)))))>
2.012 * * * * [progress]: [ 9 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x)))))>
2.012 * * * * [progress]: [ 10 / 138 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.012 * * * * [progress]: [ 11 / 138 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.012 * * * * [progress]: [ 12 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (/ (* (* (* (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)))))>
2.012 * * * * [progress]: [ 13 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (/ (* (* (* (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)))))>
2.012 * * * * [progress]: [ 14 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (/ (* (* (* (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)))))>
2.012 * * * * [progress]: [ 15 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (/ (* (* (* (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)))))>
2.012 * * * * [progress]: [ 16 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (/ (* (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)))))>
2.012 * * * * [progress]: [ 17 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (/ (* (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)))))>
2.012 * * * * [progress]: [ 18 / 138 ] simplifiying candidate #<alt (λ (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)))))>
2.012 * * * * [progress]: [ 19 / 138 ] simplifiying candidate #<alt (λ (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)))))>
2.012 * * * * [progress]: [ 20 / 138 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.013 * * * * [progress]: [ 21 / 138 ] simplifiying candidate #<alt (λ (x) (/ (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x))))>
2.013 * * * * [progress]: [ 22 / 138 ] simplifiying candidate #<alt (λ (x) (- (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x))))>
2.013 * * * * [progress]: [ 23 / 138 ] simplifiying candidate #<alt (λ (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)))>
2.013 * * * * [progress]: [ 24 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)))>
2.013 * * * * [progress]: [ 25 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x) (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x)))>
2.013 * * * * [progress]: [ 26 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
2.013 * * * * [progress]: [ 27 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x)))>
2.013 * * * * [progress]: [ 28 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x)))>
2.013 * * * * [progress]: [ 29 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ 1 x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x)))>
2.013 * * * * [progress]: [ 30 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (* (sin x) (sin x)) x) (/ (/ 1 (+ 1 (cos x))) x)))>
2.013 * * * * [progress]: [ 31 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x) (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x)))>
2.013 * * * * [progress]: [ 32 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x) (/ (- 1 (cos x)) x)))>
2.013 * * * * [progress]: [ 33 / 138 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))))>
2.013 * * * * [progress]: [ 34 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ 1 (* x x))))>
2.013 * * * * [progress]: [ 35 / 138 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))))>
2.013 * * * * [progress]: [ 36 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) x))>
2.014 * * * * [progress]: [ 37 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))))>
2.014 * * * * [progress]: [ 38 / 138 ] simplifiying candidate #<alt (λ (x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))))>
2.014 * * * * [progress]: [ 39 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x)))))))>
2.014 * * * * [progress]: [ 40 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x)))))))>
2.014 * * * * [progress]: [ 41 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (/ (* x x) (/ (sin x) (+ 1 (cos x))))))>
2.014 * * * * [progress]: [ 42 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (/ (* x x) (/ (sin x) (+ 1 (cos x))))))>
2.014 * * * * [progress]: [ 43 / 138 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))))>
2.014 * * * * [progress]: [ 44 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin x)) (/ (* x x) (/ 1 (+ 1 (cos x))))))>
2.014 * * * * [progress]: [ 45 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))))>
2.014 * * * * [progress]: [ 46 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (/ (* x x) (- 1 (cos x)))))>
2.014 * * * * [progress]: [ 47 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin x)) (* (* x x) (+ 1 (cos x)))))>
2.014 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #<alt (λ (x) (posit16->real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.014 * * * * [progress]: [ 49 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (log1p (expm1 (+ 1 (cos x))))) (* x x)))>
2.014 * * * * [progress]: [ 50 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (expm1 (log1p (+ 1 (cos x))))) (* x x)))>
2.014 * * * * [progress]: [ 51 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (cos x))) (* x x)))>
2.014 * * * * [progress]: [ 52 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (fma (sqrt 1) (sqrt 1) (cos x))) (* x x)))>
2.015 * * * * [progress]: [ 53 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (fma 1 1 (cos x))) (* x x)))>
2.015 * * * * [progress]: [ 54 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (log (* (exp 1) (exp (cos x))))) (* x x)))>
2.015 * * * * [progress]: [ 55 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (pow (+ 1 (cos x)) 1)) (* x x)))>
2.015 * * * * [progress]: [ 56 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (exp (log (+ 1 (cos x))))) (* x x)))>
2.015 * * * * [progress]: [ 57 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (log (exp (+ 1 (cos x))))) (* x x)))>
2.015 * * * * [progress]: [ 58 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (* (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x))))) (* x x)))>
2.015 * * * * [progress]: [ 59 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (cbrt (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
2.015 * * * * [progress]: [ 60 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (* (sqrt (+ 1 (cos x))) (sqrt (+ 1 (cos x))))) (* x x)))>
2.015 * * * * [progress]: [ 61 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (/ (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))) (* x x)))>
2.015 * * * * [progress]: [ 62 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (* 1 (+ 1 (cos x)))) (* x x)))>
2.015 * * * * [progress]: [ 63 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (/ (- (* 1 1) (* (cos x) (cos x))) (- 1 (cos x)))) (* x x)))>
2.015 * * * * [progress]: [ 64 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (* 1 (+ 1 (cos x)))) (* x x)))>
2.015 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (posit16->real (real->posit16 (+ 1 (cos x))))) (* x x)))>
2.015 * * * * [progress]: [ 66 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
2.015 * * * * [progress]: [ 67 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (log1p (expm1 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.015 * * * * [progress]: [ 68 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (expm1 (log1p (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.015 * * * * [progress]: [ 69 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x))) (* x x)))>
2.016 * * * * [progress]: [ 70 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (- (cos (- x x)) (cos (+ x x))) 2) (+ 1 (cos x))) (* x x)))>
2.016 * * * * [progress]: [ 71 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) (+ 1 1)) (+ 1 (cos x))) (* x x)))>
2.016 * * * * [progress]: [ 72 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
2.016 * * * * [progress]: [ 73 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
2.016 * * * * [progress]: [ 74 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) (+ 1 1)) (+ 1 (cos x))) (* x x)))>
2.016 * * * * [progress]: [ 75 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
2.016 * * * * [progress]: [ 76 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (exp (+ (log (sin x)) (log (sin x)))) (+ 1 (cos x))) (* x x)))>
2.016 * * * * [progress]: [ 77 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (exp (log (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.016 * * * * [progress]: [ 78 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (log (exp (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.016 * * * * [progress]: [ 79 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (cbrt (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.016 * * * * [progress]: [ 80 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) (cbrt (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.016 * * * * [progress]: [ 81 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (cbrt (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.017 * * * * [progress]: [ 82 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sqrt (* (sin x) (sin x))) (sqrt (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.017 * * * * [progress]: [ 83 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* 1 (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
2.017 * * * * [progress]: [ 84 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (+ 1 (cos x))) (* x x)))>
2.017 * * * * [progress]: [ 85 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sqrt (sin x)) (sqrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x)))) (+ 1 (cos x))) (* x x)))>
2.017 * * * * [progress]: [ 86 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* 1 1) (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
2.017 * * * * [progress]: [ 87 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sqrt (sin x)) (sqrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x)))) (+ 1 (cos x))) (* x x)))>
2.017 * * * * [progress]: [ 88 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) (* 2 1)) (+ 1 (cos x))) (* x x)))>
2.017 * * * * [progress]: [ 89 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (sin x))) (+ 1 (cos x))) (* x x)))>
2.017 * * * * [progress]: [ 90 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sin x) (sqrt (sin x))) (sqrt (sin x))) (+ 1 (cos x))) (* x x)))>
2.017 * * * * [progress]: [ 91 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sin x) 1) (sin x)) (+ 1 (cos x))) (* x x)))>
2.017 * * * * [progress]: [ 92 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (sin x))) (+ 1 (cos x))) (* x x)))>
2.017 * * * * [progress]: [ 93 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sqrt (sin x)) (* (sqrt (sin x)) (sin x))) (+ 1 (cos x))) (* x x)))>
2.017 * * * * [progress]: [ 94 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* 1 (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
2.017 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (posit16->real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.017 * * * * [progress]: [ 96 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
2.018 * * * * [progress]: [ 97 / 138 ] simplifiying candidate #<alt (λ (x) (/ (log1p (expm1 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.018 * * * * [progress]: [ 98 / 138 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.018 * * * * [progress]: [ 99 / 138 ] simplifiying candidate #<alt (λ (x) (/ (pow (/ (* (sin x) (sin x)) (+ 1 (cos x))) 1) (* x x)))>
2.018 * * * * [progress]: [ 100 / 138 ] simplifiying candidate #<alt (λ (x) (/ (exp (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))) (* x x)))>
2.018 * * * * [progress]: [ 101 / 138 ] simplifiying candidate #<alt (λ (x) (/ (exp (- (log (* (sin x) (sin x))) (log (+ 1 (cos x))))) (* x x)))>
2.018 * * * * [progress]: [ 102 / 138 ] simplifiying candidate #<alt (λ (x) (/ (exp (log (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.018 * * * * [progress]: [ 103 / 138 ] simplifiying candidate #<alt (λ (x) (/ (log (exp (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.018 * * * * [progress]: [ 104 / 138 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
2.018 * * * * [progress]: [ 105 / 138 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
2.018 * * * * [progress]: [ 106 / 138 ] simplifiying candidate #<alt (λ (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))))) (* x x)))>
2.018 * * * * [progress]: [ 107 / 138 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.018 * * * * [progress]: [ 108 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.018 * * * * [progress]: [ 109 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (* (sin x) (sin x))) (- (+ 1 (cos x)))) (* x x)))>
2.018 * * * * [progress]: [ 110 / 138 ] simplifiying candidate #<alt (λ (x) (/ (- (/ 1/2 (+ 1 (cos x))) (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x)))) (* x x)))>
2.018 * * * * [progress]: [ 111 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (sin x) (cbrt (+ 1 (cos x))))) (* x x)))>
2.019 * * * * [progress]: [ 112 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x))))) (* x x)))>
2.019 * * * * [progress]: [ 113 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) 1) (/ (sin x) (+ 1 (cos x)))) (* x x)))>
2.019 * * * * [progress]: [ 114 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) 1) (/ (sin x) (+ 1 (cos x)))) (* x x)))>
2.019 * * * * [progress]: [ 115 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* x x)))>
2.019 * * * * [progress]: [ 116 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (sin x)) (/ 1 (+ 1 (cos x)))) (* x x)))>
2.019 * * * * [progress]: [ 117 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (/ (+ 1 (cos x)) (* (sin x) (sin x)))) (* x x)))>
2.019 * * * * [progress]: [ 118 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (cbrt (+ 1 (cos x)))) (* x x)))>
2.019 * * * * [progress]: [ 119 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (sqrt (+ 1 (cos x)))) (* x x)))>
2.019 * * * * [progress]: [ 120 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
2.019 * * * * [progress]: [ 121 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
2.020 * * * * [progress]: [ 122 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (* x x)))>
2.020 * * * * [progress]: [ 123 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) (* x x)))>
2.020 * * * * [progress]: [ 124 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (- 1 (cos x))) (* x x)))>
2.020 * * * * [progress]: [ 125 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (cos (- x x)) (cos (+ x x))) (* (+ 1 (cos x)) 2)) (* x x)))>
2.020 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #<alt (λ (x) (/ (posit16->real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.020 * * * * [progress]: [ 127 / 138 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
2.020 * * * * [progress]: [ 128 / 138 ] simplifiying candidate #<alt (λ (x) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))))>
2.020 * * * * [progress]: [ 129 / 138 ] simplifiying candidate #<alt (λ (x) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))))>
2.020 * * * * [progress]: [ 130 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2)))) (* x x)))>
2.020 * * * * [progress]: [ 131 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
2.020 * * * * [progress]: [ 132 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
2.021 * * * * [progress]: [ 133 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (+ 1 (cos x))) (* x x)))>
2.021 * * * * [progress]: [ 134 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
2.021 * * * * [progress]: [ 135 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
2.021 * * * * [progress]: [ 136 / 138 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)))>
2.021 * * * * [progress]: [ 137 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)))>
2.021 * * * * [progress]: [ 138 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)))>
2.023 * [simplify]: Simplifying (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))), (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x))), (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))), (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x))), (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x))), (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x))), (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))), (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))), (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))), (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))), (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))), (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))), (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))), (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (- (* x x)), (/ (/ 1/2 (+ 1 (cos x))) (* x x)), (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x)), (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x), (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x), (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x), (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x), (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x), (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x), (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x), (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x), (/ (/ (sin x) 1) x), (/ (/ (sin x) (+ 1 (cos x))) x), (/ (/ (sin x) 1) x), (/ (/ (sin x) (+ 1 (cos x))) x), (/ 1 x), (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x), (/ (* (sin x) (sin x)) x), (/ (/ 1 (+ 1 (cos x))) x), (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x), (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x), (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x), (/ (- 1 (cos x)) x), (/ 1 (* x x)), (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x), (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))), (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))), (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x))))), (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x))))), (/ (* x x) (/ (sin x) (+ 1 (cos x)))), (/ (* x x) (/ (sin x) (+ 1 (cos x)))), (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (/ (* x x) (/ 1 (+ 1 (cos x)))), (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))), (/ (* x x) (- 1 (cos x))), (* (* x x) (+ 1 (cos x))), (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (expm1 (+ 1 (cos x))), (log1p (+ 1 (cos x))), (* (exp 1) (exp (cos x))), (log (+ 1 (cos x))), (exp (+ 1 (cos x))), (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))), (cbrt (+ 1 (cos x))), (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))), (sqrt (+ 1 (cos x))), (sqrt (+ 1 (cos x))), (+ (pow 1 3) (pow (cos x) 3)), (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))), (- (* 1 1) (* (cos x) (cos x))), (- 1 (cos x)), (+ 1 (cos x)), (real->posit16 (+ 1 (cos x))), (expm1 (* (sin x) (sin x))), (log1p (* (sin x) (sin x))), (* 1/2 (cos (* 2 x))), (- (cos (- x x)) (cos (+ x x))), (+ 1 1), (* (sin x) (sin x)), (+ 1 1), (+ (log (sin x)) (log (sin x))), (log (* (sin x) (sin x))), (exp (* (sin x) (sin x))), (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))), (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))), (cbrt (* (sin x) (sin x))), (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))), (sqrt (* (sin x) (sin x))), (sqrt (* (sin x) (sin x))), (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x)))), (* (cbrt (sin x)) (cbrt (sin x))), (* (sqrt (sin x)) (sqrt (sin x))), (* (sqrt (sin x)) (sqrt (sin x))), (* 1 1), (* (sin x) (sin x)), (* (sqrt (sin x)) (sqrt (sin x))), (* (sqrt (sin x)) (sqrt (sin x))), (* 2 1), (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))), (* (sin x) (sqrt (sin x))), (* (sin x) 1), (* (cbrt (sin x)) (sin x)), (* (sqrt (sin x)) (sin x)), (* (sin x) (sin x)), (real->posit16 (* (sin x) (sin x))), (expm1 (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (log1p (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))), (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))), (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (exp (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))), (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))), (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))), (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (- (* (sin x) (sin x))), (- (+ 1 (cos x))), (/ 1/2 (+ 1 (cos x))), (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))), (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))), (/ (sin x) (cbrt (+ 1 (cos x)))), (/ (sin x) (sqrt (+ 1 (cos x)))), (/ (sin x) (sqrt (+ 1 (cos x)))), (/ (sin x) 1), (/ (sin x) (+ 1 (cos x))), (/ (sin x) 1), (/ (sin x) (+ 1 (cos x))), (/ 1 (+ 1 (cos x))), (/ (+ 1 (cos x)) (* (sin x) (sin x))), (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))), (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))), (/ (* (sin x) (sin x)) 1), (/ (* (sin x) (sin x)) 1), (/ (+ 1 (cos x)) (sin x)), (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))), (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))), (* (+ 1 (cos x)) 2), (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))), (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))), (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))), (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))), (+ (cos x) 1), (+ (cos x) 1), (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))), (pow (sin x) 2), (pow (sin x) 2), (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))), (/ (pow (sin x) 2) (+ (cos x) 1)), (/ (pow (sin x) 2) (+ (cos x) 1))
2.027 * * [simplify]: iteration 1: (190 enodes)
2.124 * * [simplify]: iteration 2: (825 enodes)
2.441 * * [simplify]: Extracting #0: cost 105 inf + 0
2.443 * * [simplify]: Extracting #1: cost 548 inf + 2
2.450 * * [simplify]: Extracting #2: cost 774 inf + 10069
2.464 * * [simplify]: Extracting #3: cost 570 inf + 47365
2.486 * * [simplify]: Extracting #4: cost 148 inf + 156615
2.542 * * [simplify]: Extracting #5: cost 3 inf + 200690
2.595 * * [simplify]: Extracting #6: cost 0 inf + 199869
2.630 * [simplify]: Simplified to (expm1 (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log1p (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (exp (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* x (* x x)) (* x (* x x)))), (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* x (* x x)) (* x (* x x)))), (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* x (* x x)) (* x (* x x)))), (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* x (* x x)) (* x (* x x)))), (* (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (* (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (* (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))))), (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (* (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (sqrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (sqrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (/ (- (sin x)) (/ (+ 1 (cos x)) (sin x))), (* x (- x)), (/ 1/2 (fma (* x x) (cos x) (* x x))), (/ (* 1/2 (cos (* x 2))) (fma (* x x) (cos x) (* x x))), (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ x (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))), (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x), (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x), (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x), (/ (/ (sin x) x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))), (/ (/ (sin x) x) (cbrt (+ 1 (cos x)))), (/ (/ (sin x) x) (sqrt (+ 1 (cos x)))), (/ (/ (sin x) x) (sqrt (+ 1 (cos x)))), (/ (sin x) x), (/ (tan (/ x 2)) x), (/ (sin x) x), (/ (tan (/ x 2)) x), (/ 1 x), (/ (sin x) (/ (+ (* x (cos x)) x) (sin x))), (* (/ (sin x) x) (sin x)), (/ (/ 1 x) (+ 1 (cos x))), (/ (/ (* (sin x) (sin x)) x) (fma (cos x) (* (cos x) (cos x)) 1)), (/ (fma (cos x) (+ (cos x) -1) 1) x), (/ (* (sin x) (sin x)) (* x (* (sin x) (sin x)))), (/ (- 1 (cos x)) x), (/ (/ 1 x) x), (* (* (/ x (sin x)) (/ x (sin x))) (+ 1 (cos x))), (/ (sin x) (/ (+ (* x (cos x)) x) (sin x))), (* (/ x (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x), (* (/ x (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x), (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x))))), (* (/ (* x x) (sin x)) (sqrt (+ 1 (cos x)))), (* (/ x (tan (/ x 2))) x), (* (/ x (tan (/ x 2))) x), (* (* (/ x (sin x)) (/ x (sin x))) (+ 1 (cos x))), (fma (* x x) (cos x) (* x x)), (/ (* x x) (fma (cos x) (+ (cos x) -1) 1)), (/ (* x x) (- 1 (cos x))), (fma (* x x) (cos x) (* x x)), (real->posit16 (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (expm1 (+ 1 (cos x))), (log1p (+ 1 (cos x))), (* E (exp (cos x))), (log1p (cos x)), (* E (exp (cos x))), (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))), (cbrt (+ 1 (cos x))), (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))), (sqrt (+ 1 (cos x))), (sqrt (+ 1 (cos x))), (fma (cos x) (* (cos x) (cos x)) 1), (fma (cos x) (+ (cos x) -1) 1), (* (sin x) (sin x)), (- 1 (cos x)), (+ 1 (cos x)), (real->posit16 (+ 1 (cos x))), (expm1 (* (sin x) (sin x))), (log1p (* (sin x) (sin x))), (* 1/2 (cos (* x 2))), (- 1 (cos (+ x x))), 2, (* (sin x) (sin x)), 2, (+ (log (sin x)) (log (sin x))), (+ (log (sin x)) (log (sin x))), (exp (* (sin x) (sin x))), (* (* (sin x) (sin x)) (* (* (sin x) (sin x)) (* (sin x) (sin x)))), (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))), (cbrt (* (sin x) (sin x))), (* (* (sin x) (sin x)) (* (* (sin x) (sin x)) (* (sin x) (sin x)))), (fabs (sin x)), (fabs (sin x)), (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x)))), (* (cbrt (sin x)) (cbrt (sin x))), (sin x), (sin x), 1, (* (sin x) (sin x)), (sin x), (sin x), 2, (* (* (sin x) (cbrt (sin x))) (cbrt (sin x))), (* (sqrt (sin x)) (sin x)), (sin x), (* (sin x) (cbrt (sin x))), (* (sqrt (sin x)) (sin x)), (* (sin x) (sin x)), (real->posit16 (* (sin x) (sin x))), (expm1 (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (log1p (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (exp (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))), (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x))))), (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (* (sin x) (- (sin x))), (- -1 (cos x)), (/ 1/2 (+ 1 (cos x))), (* (/ 1/2 (+ 1 (cos x))) (cos (* x 2))), (/ (/ (sin x) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x)))), (/ (sin x) (cbrt (+ 1 (cos x)))), (/ (sin x) (sqrt (+ 1 (cos x)))), (/ (sin x) (sqrt (+ 1 (cos x)))), (sin x), (tan (/ x 2)), (sin x), (tan (/ x 2)), (/ 1 (+ 1 (cos x))), (/ (/ (+ 1 (cos x)) (sin x)) (sin x)), (* (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x))))), (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))), (* (sin x) (sin x)), (* (sin x) (sin x)), (/ (+ 1 (cos x)) (sin x)), (/ (sin x) (/ (fma (cos x) (* (cos x) (cos x)) 1) (sin x))), (/ (* (sin x) (sin x)) (* (sin x) (sin x))), (+ (* 2 (cos x)) 2), (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (+ (* -1/24 (* x x)) (fma (* (* x x) (* x x)) 1/720 1/2)), (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))), (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))), (+ (* -1/2 (* x x)) (fma 1/24 (* (* x x) (* x x)) 2)), (+ 1 (cos x)), (+ 1 (cos x)), (+ (* (* (* x x) (* x x)) -1/3) (fma (* (* x (* x x)) (* x (* x x))) 2/45 (* x x))), (* (sin x) (sin x)), (* (sin x) (sin x)), (fma (* x x) 1/2 (fma 1/720 (* (* x (* x x)) (* x (* x x))) (* (* (* x x) (* x x)) -1/24))), (/ (* (sin x) (sin x)) (+ 1 (cos x))), (/ (* (sin x) (sin x)) (+ 1 (cos x)))
2.643 * * * [progress]: adding candidates to table
3.841 * * [progress]: iteration 3 / 4
3.841 * * * [progress]: picking best candidate
3.861 * * * * [pick]: Picked  #<alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))>
3.861 * * * [progress]: localizing error
3.898 * * * [progress]: generating rewritten candidates
3.898 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
3.911 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
3.919 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
3.936 * * * [progress]: generating series expansions
3.936 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
3.936 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x)
3.936 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0
3.936 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x
3.936 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
3.936 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
3.936 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
3.936 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
3.936 * [taylor]: Taking taylor expansion of 1/2 in x
3.936 * [backup-simplify]: Simplify 1/2 into 1/2
3.936 * [taylor]: Taking taylor expansion of x in x
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 1 into 1
3.937 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.938 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.938 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
3.938 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
3.938 * [taylor]: Taking taylor expansion of 1/2 in x
3.938 * [backup-simplify]: Simplify 1/2 into 1/2
3.938 * [taylor]: Taking taylor expansion of x in x
3.938 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify 1 into 1
3.938 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.938 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
3.939 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.939 * [taylor]: Taking taylor expansion of x in x
3.939 * [backup-simplify]: Simplify 0 into 0
3.939 * [backup-simplify]: Simplify 1 into 1
3.940 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.940 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x
3.940 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
3.940 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
3.940 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
3.940 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
3.940 * [taylor]: Taking taylor expansion of 1/2 in x
3.940 * [backup-simplify]: Simplify 1/2 into 1/2
3.940 * [taylor]: Taking taylor expansion of x in x
3.940 * [backup-simplify]: Simplify 0 into 0
3.940 * [backup-simplify]: Simplify 1 into 1
3.940 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.940 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.940 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
3.940 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
3.940 * [taylor]: Taking taylor expansion of 1/2 in x
3.940 * [backup-simplify]: Simplify 1/2 into 1/2
3.940 * [taylor]: Taking taylor expansion of x in x
3.941 * [backup-simplify]: Simplify 0 into 0
3.941 * [backup-simplify]: Simplify 1 into 1
3.941 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.941 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
3.942 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.942 * [taylor]: Taking taylor expansion of x in x
3.942 * [backup-simplify]: Simplify 0 into 0
3.942 * [backup-simplify]: Simplify 1 into 1
3.942 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.942 * [backup-simplify]: Simplify 1/2 into 1/2
3.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
3.943 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.944 * [backup-simplify]: Simplify (+ 0) into 0
3.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.945 * [backup-simplify]: Simplify 0 into 0
3.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.947 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
3.947 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
3.948 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
3.949 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24
3.949 * [backup-simplify]: Simplify 1/24 into 1/24
3.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
3.951 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
3.952 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
3.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0
3.953 * [backup-simplify]: Simplify 0 into 0
3.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
3.956 * [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
3.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.959 * [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
3.960 * [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
3.961 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240
3.961 * [backup-simplify]: Simplify 1/240 into 1/240
3.961 * [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))
3.961 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x)
3.961 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0
3.961 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x
3.961 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
3.961 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
3.961 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
3.961 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
3.961 * [taylor]: Taking taylor expansion of 1/2 in x
3.961 * [backup-simplify]: Simplify 1/2 into 1/2
3.961 * [taylor]: Taking taylor expansion of x in x
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 1 into 1
3.962 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.962 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
3.962 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
3.962 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
3.962 * [taylor]: Taking taylor expansion of 1/2 in x
3.962 * [backup-simplify]: Simplify 1/2 into 1/2
3.962 * [taylor]: Taking taylor expansion of x in x
3.962 * [backup-simplify]: Simplify 0 into 0
3.962 * [backup-simplify]: Simplify 1 into 1
3.962 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.962 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
3.962 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
3.962 * [taylor]: Taking taylor expansion of x in x
3.962 * [backup-simplify]: Simplify 0 into 0
3.962 * [backup-simplify]: Simplify 1 into 1
3.962 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x
3.962 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
3.962 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
3.962 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
3.962 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
3.962 * [taylor]: Taking taylor expansion of 1/2 in x
3.962 * [backup-simplify]: Simplify 1/2 into 1/2
3.962 * [taylor]: Taking taylor expansion of x in x
3.962 * [backup-simplify]: Simplify 0 into 0
3.962 * [backup-simplify]: Simplify 1 into 1
3.963 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.963 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
3.963 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
3.963 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
3.963 * [taylor]: Taking taylor expansion of 1/2 in x
3.963 * [backup-simplify]: Simplify 1/2 into 1/2
3.963 * [taylor]: Taking taylor expansion of x in x
3.963 * [backup-simplify]: Simplify 0 into 0
3.963 * [backup-simplify]: Simplify 1 into 1
3.963 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.963 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
3.963 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
3.963 * [taylor]: Taking taylor expansion of x in x
3.963 * [backup-simplify]: Simplify 0 into 0
3.963 * [backup-simplify]: Simplify 1 into 1
3.963 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0
3.963 * [backup-simplify]: Simplify 0 into 0
3.964 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
3.964 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
3.964 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
3.964 * [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
3.965 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0
3.965 * [backup-simplify]: Simplify 0 into 0
3.965 * [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
3.965 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.966 * [backup-simplify]: Simplify 0 into 0
3.966 * [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
3.966 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
3.966 * [backup-simplify]: Simplify 0 into 0
3.967 * [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
3.968 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
3.968 * [backup-simplify]: Simplify 0 into 0
3.968 * [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
3.969 * [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
3.969 * [backup-simplify]: Simplify 0 into 0
3.969 * [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
3.970 * [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
3.970 * [backup-simplify]: Simplify 0 into 0
3.970 * [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))
3.970 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x))))
3.970 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0
3.970 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x
3.970 * [taylor]: Taking taylor expansion of -1 in x
3.970 * [backup-simplify]: Simplify -1 into -1
3.970 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x
3.970 * [taylor]: Taking taylor expansion of x in x
3.970 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify 1 into 1
3.970 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
3.970 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
3.970 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
3.970 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
3.970 * [taylor]: Taking taylor expansion of -1/2 in x
3.970 * [backup-simplify]: Simplify -1/2 into -1/2
3.970 * [taylor]: Taking taylor expansion of x in x
3.970 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify 1 into 1
3.971 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.971 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
3.971 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
3.971 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
3.971 * [taylor]: Taking taylor expansion of -1/2 in x
3.971 * [backup-simplify]: Simplify -1/2 into -1/2
3.971 * [taylor]: Taking taylor expansion of x in x
3.971 * [backup-simplify]: Simplify 0 into 0
3.971 * [backup-simplify]: Simplify 1 into 1
3.971 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.971 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
3.971 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
3.971 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x
3.971 * [taylor]: Taking taylor expansion of -1 in x
3.971 * [backup-simplify]: Simplify -1 into -1
3.971 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x
3.971 * [taylor]: Taking taylor expansion of x in x
3.971 * [backup-simplify]: Simplify 0 into 0
3.971 * [backup-simplify]: Simplify 1 into 1
3.971 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
3.972 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
3.972 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
3.972 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
3.972 * [taylor]: Taking taylor expansion of -1/2 in x
3.972 * [backup-simplify]: Simplify -1/2 into -1/2
3.972 * [taylor]: Taking taylor expansion of x in x
3.972 * [backup-simplify]: Simplify 0 into 0
3.972 * [backup-simplify]: Simplify 1 into 1
3.972 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.972 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
3.972 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
3.972 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
3.972 * [taylor]: Taking taylor expansion of -1/2 in x
3.972 * [backup-simplify]: Simplify -1/2 into -1/2
3.972 * [taylor]: Taking taylor expansion of x in x
3.972 * [backup-simplify]: Simplify 0 into 0
3.972 * [backup-simplify]: Simplify 1 into 1
3.972 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.972 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
3.972 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
3.973 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0
3.973 * [backup-simplify]: Simplify (* -1 0) into 0
3.973 * [backup-simplify]: Simplify 0 into 0
3.973 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
3.973 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
3.974 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))
3.974 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))
3.974 * [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
3.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0
3.975 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0
3.975 * [backup-simplify]: Simplify 0 into 0
3.975 * [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
3.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
3.977 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0
3.977 * [backup-simplify]: Simplify 0 into 0
3.977 * [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
3.981 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0
3.982 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0
3.982 * [backup-simplify]: Simplify 0 into 0
3.982 * [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
3.983 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0
3.984 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0
3.984 * [backup-simplify]: Simplify 0 into 0
3.985 * [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
3.986 * [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
3.988 * [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
3.988 * [backup-simplify]: Simplify 0 into 0
3.988 * [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
3.990 * [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
3.992 * [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
3.992 * [backup-simplify]: Simplify 0 into 0
3.992 * [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))
3.992 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
3.992 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x)
3.992 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0
3.992 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x
3.992 * [taylor]: Taking taylor expansion of (sin x) in x
3.992 * [taylor]: Taking taylor expansion of x in x
3.992 * [backup-simplify]: Simplify 0 into 0
3.992 * [backup-simplify]: Simplify 1 into 1
3.992 * [taylor]: Taking taylor expansion of x in x
3.992 * [backup-simplify]: Simplify 0 into 0
3.992 * [backup-simplify]: Simplify 1 into 1
3.993 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.993 * [backup-simplify]: Simplify (/ 1 1) into 1
3.993 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x
3.993 * [taylor]: Taking taylor expansion of (sin x) in x
3.993 * [taylor]: Taking taylor expansion of x in x
3.993 * [backup-simplify]: Simplify 0 into 0
3.993 * [backup-simplify]: Simplify 1 into 1
3.993 * [taylor]: Taking taylor expansion of x in x
3.993 * [backup-simplify]: Simplify 0 into 0
3.993 * [backup-simplify]: Simplify 1 into 1
3.994 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.994 * [backup-simplify]: Simplify (/ 1 1) into 1
3.994 * [backup-simplify]: Simplify 1 into 1
3.995 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
3.996 * [backup-simplify]: Simplify 0 into 0
3.997 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.998 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6
3.998 * [backup-simplify]: Simplify -1/6 into -1/6
3.998 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0
3.999 * [backup-simplify]: Simplify 0 into 0
4.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
4.002 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120
4.002 * [backup-simplify]: Simplify 1/120 into 1/120
4.002 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2)))
4.002 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x)))
4.002 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0
4.002 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x
4.002 * [taylor]: Taking taylor expansion of x in x
4.002 * [backup-simplify]: Simplify 0 into 0
4.002 * [backup-simplify]: Simplify 1 into 1
4.002 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
4.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.003 * [taylor]: Taking taylor expansion of x in x
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify 1 into 1
4.003 * [backup-simplify]: Simplify (/ 1 1) into 1
4.003 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.003 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x
4.003 * [taylor]: Taking taylor expansion of x in x
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify 1 into 1
4.003 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
4.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.003 * [taylor]: Taking taylor expansion of x in x
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify 1 into 1
4.003 * [backup-simplify]: Simplify (/ 1 1) into 1
4.003 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.003 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0
4.003 * [backup-simplify]: Simplify 0 into 0
4.004 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x))
4.004 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0
4.004 * [backup-simplify]: Simplify 0 into 0
4.005 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
4.005 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
4.006 * [backup-simplify]: Simplify 0 into 0
4.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
4.007 * [backup-simplify]: Simplify 0 into 0
4.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
4.009 * [backup-simplify]: Simplify 0 into 0
4.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0
4.010 * [backup-simplify]: Simplify 0 into 0
4.010 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x)
4.010 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x))))
4.011 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0
4.011 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x
4.011 * [taylor]: Taking taylor expansion of -1 in x
4.011 * [backup-simplify]: Simplify -1 into -1
4.011 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x
4.011 * [taylor]: Taking taylor expansion of x in x
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify 1 into 1
4.011 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.011 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.011 * [taylor]: Taking taylor expansion of -1 in x
4.011 * [backup-simplify]: Simplify -1 into -1
4.011 * [taylor]: Taking taylor expansion of x in x
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify 1 into 1
4.011 * [backup-simplify]: Simplify (/ -1 1) into -1
4.011 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.011 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x
4.011 * [taylor]: Taking taylor expansion of -1 in x
4.011 * [backup-simplify]: Simplify -1 into -1
4.011 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x
4.011 * [taylor]: Taking taylor expansion of x in x
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify 1 into 1
4.011 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.011 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.011 * [taylor]: Taking taylor expansion of -1 in x
4.011 * [backup-simplify]: Simplify -1 into -1
4.011 * [taylor]: Taking taylor expansion of x in x
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify 1 into 1
4.012 * [backup-simplify]: Simplify (/ -1 1) into -1
4.012 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.012 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0
4.012 * [backup-simplify]: Simplify (* -1 0) into 0
4.012 * [backup-simplify]: Simplify 0 into 0
4.012 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x))
4.013 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x)))
4.013 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
4.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0
4.014 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0
4.014 * [backup-simplify]: Simplify 0 into 0
4.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
4.015 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0
4.015 * [backup-simplify]: Simplify 0 into 0
4.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
4.017 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0
4.017 * [backup-simplify]: Simplify 0 into 0
4.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
4.022 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0
4.022 * [backup-simplify]: Simplify 0 into 0
4.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
4.025 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0
4.025 * [backup-simplify]: Simplify 0 into 0
4.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0
4.028 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0
4.028 * [backup-simplify]: Simplify 0 into 0
4.028 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x)
4.028 * * * * [progress]: [ 3 / 3 ] generating series at (2)
4.028 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2))
4.028 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0
4.028 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x
4.028 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
4.028 * [taylor]: Taking taylor expansion of (sin x) in x
4.028 * [taylor]: Taking taylor expansion of x in x
4.028 * [backup-simplify]: Simplify 0 into 0
4.028 * [backup-simplify]: Simplify 1 into 1
4.028 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
4.028 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
4.028 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
4.028 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.028 * [taylor]: Taking taylor expansion of 1/2 in x
4.028 * [backup-simplify]: Simplify 1/2 into 1/2
4.028 * [taylor]: Taking taylor expansion of x in x
4.028 * [backup-simplify]: Simplify 0 into 0
4.028 * [backup-simplify]: Simplify 1 into 1
4.029 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.029 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.029 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
4.029 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.029 * [taylor]: Taking taylor expansion of 1/2 in x
4.029 * [backup-simplify]: Simplify 1/2 into 1/2
4.029 * [taylor]: Taking taylor expansion of x in x
4.029 * [backup-simplify]: Simplify 0 into 0
4.029 * [backup-simplify]: Simplify 1 into 1
4.029 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.030 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.030 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
4.031 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.031 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.031 * [taylor]: Taking taylor expansion of x in x
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify 1 into 1
4.031 * [backup-simplify]: Simplify (* 0 1/2) into 0
4.032 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.032 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.032 * [backup-simplify]: Simplify (+ 0) into 0
4.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.033 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.034 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
4.034 * [backup-simplify]: Simplify (* 1 1) into 1
4.034 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.034 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x
4.034 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
4.034 * [taylor]: Taking taylor expansion of (sin x) in x
4.034 * [taylor]: Taking taylor expansion of x in x
4.034 * [backup-simplify]: Simplify 0 into 0
4.034 * [backup-simplify]: Simplify 1 into 1
4.034 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
4.034 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
4.034 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
4.034 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.034 * [taylor]: Taking taylor expansion of 1/2 in x
4.034 * [backup-simplify]: Simplify 1/2 into 1/2
4.034 * [taylor]: Taking taylor expansion of x in x
4.034 * [backup-simplify]: Simplify 0 into 0
4.034 * [backup-simplify]: Simplify 1 into 1
4.035 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.035 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.035 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
4.035 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.035 * [taylor]: Taking taylor expansion of 1/2 in x
4.035 * [backup-simplify]: Simplify 1/2 into 1/2
4.035 * [taylor]: Taking taylor expansion of x in x
4.035 * [backup-simplify]: Simplify 0 into 0
4.035 * [backup-simplify]: Simplify 1 into 1
4.035 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.036 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.036 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
4.037 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.037 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.037 * [taylor]: Taking taylor expansion of x in x
4.037 * [backup-simplify]: Simplify 0 into 0
4.037 * [backup-simplify]: Simplify 1 into 1
4.037 * [backup-simplify]: Simplify (* 0 1/2) into 0
4.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.039 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.039 * [backup-simplify]: Simplify (+ 0) into 0
4.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.041 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.042 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
4.042 * [backup-simplify]: Simplify (* 1 1) into 1
4.042 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.043 * [backup-simplify]: Simplify 1/2 into 1/2
4.044 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.045 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
4.046 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
4.048 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
4.049 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.050 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
4.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.051 * [backup-simplify]: Simplify 0 into 0
4.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
4.054 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.057 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
4.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24
4.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.060 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
4.060 * [backup-simplify]: Simplify -1/24 into -1/24
4.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
4.063 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
4.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.065 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
4.067 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240
4.067 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.069 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0
4.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
4.071 * [backup-simplify]: Simplify 0 into 0
4.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
4.078 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
4.082 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0
4.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
4.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720
4.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.092 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
4.092 * [backup-simplify]: Simplify 1/720 into 1/720
4.092 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))
4.092 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x))))
4.092 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0
4.093 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x
4.093 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.093 * [taylor]: Taking taylor expansion of x in x
4.093 * [backup-simplify]: Simplify 0 into 0
4.093 * [backup-simplify]: Simplify 1 into 1
4.093 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x
4.093 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
4.093 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
4.093 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
4.093 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.093 * [taylor]: Taking taylor expansion of 1/2 in x
4.093 * [backup-simplify]: Simplify 1/2 into 1/2
4.093 * [taylor]: Taking taylor expansion of x in x
4.093 * [backup-simplify]: Simplify 0 into 0
4.093 * [backup-simplify]: Simplify 1 into 1
4.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.093 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
4.094 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
4.094 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.094 * [taylor]: Taking taylor expansion of 1/2 in x
4.094 * [backup-simplify]: Simplify 1/2 into 1/2
4.094 * [taylor]: Taking taylor expansion of x in x
4.094 * [backup-simplify]: Simplify 0 into 0
4.094 * [backup-simplify]: Simplify 1 into 1
4.094 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.094 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
4.094 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
4.094 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
4.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.094 * [taylor]: Taking taylor expansion of x in x
4.094 * [backup-simplify]: Simplify 0 into 0
4.094 * [backup-simplify]: Simplify 1 into 1
4.095 * [backup-simplify]: Simplify (/ 1 1) into 1
4.095 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.095 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x
4.095 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.095 * [taylor]: Taking taylor expansion of x in x
4.095 * [backup-simplify]: Simplify 0 into 0
4.095 * [backup-simplify]: Simplify 1 into 1
4.095 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x
4.095 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
4.095 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
4.095 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
4.095 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.095 * [taylor]: Taking taylor expansion of 1/2 in x
4.095 * [backup-simplify]: Simplify 1/2 into 1/2
4.095 * [taylor]: Taking taylor expansion of x in x
4.095 * [backup-simplify]: Simplify 0 into 0
4.095 * [backup-simplify]: Simplify 1 into 1
4.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.096 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
4.096 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
4.096 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.096 * [taylor]: Taking taylor expansion of 1/2 in x
4.096 * [backup-simplify]: Simplify 1/2 into 1/2
4.096 * [taylor]: Taking taylor expansion of x in x
4.096 * [backup-simplify]: Simplify 0 into 0
4.096 * [backup-simplify]: Simplify 1 into 1
4.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.096 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
4.096 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
4.096 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
4.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.097 * [taylor]: Taking taylor expansion of x in x
4.097 * [backup-simplify]: Simplify 0 into 0
4.097 * [backup-simplify]: Simplify 1 into 1
4.097 * [backup-simplify]: Simplify (/ 1 1) into 1
4.097 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.097 * [backup-simplify]: Simplify (* 1 1) into 1
4.098 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
4.098 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
4.098 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
4.098 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
4.098 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
4.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0
4.100 * [backup-simplify]: Simplify 0 into 0
4.100 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
4.100 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
4.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
4.102 * [backup-simplify]: Simplify 0 into 0
4.103 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
4.103 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
4.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0
4.106 * [backup-simplify]: Simplify 0 into 0
4.106 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
4.107 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
4.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0
4.110 * [backup-simplify]: Simplify 0 into 0
4.111 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
4.112 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
4.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0
4.116 * [backup-simplify]: Simplify 0 into 0
4.116 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
4.118 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
4.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0
4.122 * [backup-simplify]: Simplify 0 into 0
4.123 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
4.123 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x))))
4.123 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0
4.123 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
4.123 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.123 * [taylor]: Taking taylor expansion of x in x
4.123 * [backup-simplify]: Simplify 0 into 0
4.123 * [backup-simplify]: Simplify 1 into 1
4.123 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
4.123 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
4.123 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
4.123 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
4.123 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
4.123 * [taylor]: Taking taylor expansion of -1/2 in x
4.123 * [backup-simplify]: Simplify -1/2 into -1/2
4.123 * [taylor]: Taking taylor expansion of x in x
4.123 * [backup-simplify]: Simplify 0 into 0
4.124 * [backup-simplify]: Simplify 1 into 1
4.124 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.124 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
4.124 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
4.124 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
4.124 * [taylor]: Taking taylor expansion of -1/2 in x
4.124 * [backup-simplify]: Simplify -1/2 into -1/2
4.124 * [taylor]: Taking taylor expansion of x in x
4.124 * [backup-simplify]: Simplify 0 into 0
4.124 * [backup-simplify]: Simplify 1 into 1
4.125 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.125 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
4.125 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
4.125 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.125 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.125 * [taylor]: Taking taylor expansion of -1 in x
4.125 * [backup-simplify]: Simplify -1 into -1
4.125 * [taylor]: Taking taylor expansion of x in x
4.125 * [backup-simplify]: Simplify 0 into 0
4.125 * [backup-simplify]: Simplify 1 into 1
4.125 * [backup-simplify]: Simplify (/ -1 1) into -1
4.126 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.126 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
4.126 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.126 * [taylor]: Taking taylor expansion of x in x
4.126 * [backup-simplify]: Simplify 0 into 0
4.126 * [backup-simplify]: Simplify 1 into 1
4.126 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
4.126 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
4.126 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
4.126 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
4.126 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
4.126 * [taylor]: Taking taylor expansion of -1/2 in x
4.126 * [backup-simplify]: Simplify -1/2 into -1/2
4.126 * [taylor]: Taking taylor expansion of x in x
4.126 * [backup-simplify]: Simplify 0 into 0
4.126 * [backup-simplify]: Simplify 1 into 1
4.126 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.126 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
4.127 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
4.127 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
4.127 * [taylor]: Taking taylor expansion of -1/2 in x
4.127 * [backup-simplify]: Simplify -1/2 into -1/2
4.127 * [taylor]: Taking taylor expansion of x in x
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [backup-simplify]: Simplify 1 into 1
4.127 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.127 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
4.127 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
4.127 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.127 * [taylor]: Taking taylor expansion of -1 in x
4.127 * [backup-simplify]: Simplify -1 into -1
4.127 * [taylor]: Taking taylor expansion of x in x
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [backup-simplify]: Simplify 1 into 1
4.128 * [backup-simplify]: Simplify (/ -1 1) into -1
4.128 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.128 * [backup-simplify]: Simplify (* 1 1) into 1
4.129 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
4.129 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
4.129 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
4.129 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
4.129 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
4.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0
4.131 * [backup-simplify]: Simplify 0 into 0
4.131 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
4.132 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
4.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
4.134 * [backup-simplify]: Simplify 0 into 0
4.134 * [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)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
4.135 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
4.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0
4.137 * [backup-simplify]: Simplify 0 into 0
4.138 * [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
4.139 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
4.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0
4.142 * [backup-simplify]: Simplify 0 into 0
4.143 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
4.144 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
4.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0
4.148 * [backup-simplify]: Simplify 0 into 0
4.148 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
4.150 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
4.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0
4.154 * [backup-simplify]: Simplify 0 into 0
4.154 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
4.155 * * * [progress]: simplifying candidates
4.155 * * * * [progress]: [ 1 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (log1p (expm1 (/ (tan (/ x 2)) x)))))>
4.155 * * * * [progress]: [ 2 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (expm1 (log1p (/ (tan (/ x 2)) x)))))>
4.155 * * * * [progress]: [ 3 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (pow (/ (tan (/ x 2)) x) 1)))>
4.155 * * * * [progress]: [ 4 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (exp (- (log (tan (/ x 2))) (log x)))))>
4.155 * * * * [progress]: [ 5 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (exp (log (/ (tan (/ x 2)) x)))))>
4.155 * * * * [progress]: [ 6 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (log (exp (/ (tan (/ x 2)) x)))))>
4.155 * * * * [progress]: [ 7 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (cbrt (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)))))>
4.155 * * * * [progress]: [ 8 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)))))>
4.155 * * * * [progress]: [ 9 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (cbrt (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)))))>
4.155 * * * * [progress]: [ 10 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)))))>
4.155 * * * * [progress]: [ 11 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (- (tan (/ x 2))) (- x))))>
4.155 * * * * [progress]: [ 12 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)))))>
4.155 * * * * [progress]: [ 13 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (/ (cbrt (tan (/ x 2))) (sqrt x)))))>
4.155 * * * * [progress]: [ 14 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1) (/ (cbrt (tan (/ x 2))) x))))>
4.156 * * * * [progress]: [ 15 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)))))>
4.156 * * * * [progress]: [ 16 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)))))>
4.156 * * * * [progress]: [ 17 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ (sqrt (tan (/ x 2))) 1) (/ (sqrt (tan (/ x 2))) x))))>
4.156 * * * * [progress]: [ 18 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)))))>
4.156 * * * * [progress]: [ 19 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)))))>
4.156 * * * * [progress]: [ 20 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ 1 1) (/ (tan (/ x 2)) x))))>
4.156 * * * * [progress]: [ 21 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* 1 (/ (tan (/ x 2)) x))))>
4.156 * * * * [progress]: [ 22 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x))))>
4.156 * * * * [progress]: [ 23 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ 1 (/ x (tan (/ x 2))))))>
4.156 * * * * [progress]: [ 24 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (cbrt x))))>
4.156 * * * * [progress]: [ 25 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (/ (tan (/ x 2)) (sqrt x)) (sqrt x))))>
4.156 * * * * [progress]: [ 26 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (/ (tan (/ x 2)) 1) x)))>
4.156 * * * * [progress]: [ 27 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ x (cbrt (tan (/ x 2)))))))>
4.156 * * * * [progress]: [ 28 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (/ x (sqrt (tan (/ x 2)))))))>
4.156 * * * * [progress]: [ 29 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ 1 (/ x (tan (/ x 2))))))>
4.156 * * * * [progress]: [ 30 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (sin (/ x 2)) (* x (cos (/ x 2))))))>
4.156 * * * * [progress]: [ 31 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (posit16->real (real->posit16 (/ (tan (/ x 2)) x)))))>
4.157 * * * * [progress]: [ 32 / 123 ] simplifiying candidate #<alt (λ (x) (* (log1p (expm1 (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
4.157 * * * * [progress]: [ 33 / 123 ] simplifiying candidate #<alt (λ (x) (* (expm1 (log1p (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
4.157 * * * * [progress]: [ 34 / 123 ] simplifiying candidate #<alt (λ (x) (* (pow (/ (sin x) x) 1) (/ (tan (/ x 2)) x)))>
4.157 * * * * [progress]: [ 35 / 123 ] simplifiying candidate #<alt (λ (x) (* (exp (- (log (sin x)) (log x))) (/ (tan (/ x 2)) x)))>
4.157 * * * * [progress]: [ 36 / 123 ] simplifiying candidate #<alt (λ (x) (* (exp (log (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
4.157 * * * * [progress]: [ 37 / 123 ] simplifiying candidate #<alt (λ (x) (* (log (exp (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
4.157 * * * * [progress]: [ 38 / 123 ] simplifiying candidate #<alt (λ (x) (* (cbrt (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x))) (/ (tan (/ x 2)) x)))>
4.157 * * * * [progress]: [ 39 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
4.157 * * * * [progress]: [ 40 / 123 ] simplifiying candidate #<alt (λ (x) (* (cbrt (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
4.157 * * * * [progress]: [ 41 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
4.157 * * * * [progress]: [ 42 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (- (sin x)) (- x)) (/ (tan (/ x 2)) x)))>
4.157 * * * * [progress]: [ 43 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x))) (/ (tan (/ x 2)) x)))>
4.157 * * * * [progress]: [ 44 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x))) (/ (tan (/ x 2)) x)))>
4.157 * * * * [progress]: [ 45 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) x)) (/ (tan (/ x 2)) x)))>
4.157 * * * * [progress]: [ 46 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x))) (/ (tan (/ x 2)) x)))>
4.157 * * * * [progress]: [ 47 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x))) (/ (tan (/ x 2)) x)))>
4.157 * * * * [progress]: [ 48 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) x)) (/ (tan (/ x 2)) x)))>
4.158 * * * * [progress]: [ 49 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x))) (/ (tan (/ x 2)) x)))>
4.158 * * * * [progress]: [ 50 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ 1 (sqrt x)) (/ (sin x) (sqrt x))) (/ (tan (/ x 2)) x)))>
4.158 * * * * [progress]: [ 51 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ 1 1) (/ (sin x) x)) (/ (tan (/ x 2)) x)))>
4.158 * * * * [progress]: [ 52 / 123 ] simplifiying candidate #<alt (λ (x) (* (* 1 (/ (sin x) x)) (/ (tan (/ x 2)) x)))>
4.158 * * * * [progress]: [ 53 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (sin x) (/ 1 x)) (/ (tan (/ x 2)) x)))>
4.158 * * * * [progress]: [ 54 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (/ x (sin x))) (/ (tan (/ x 2)) x)))>
4.158 * * * * [progress]: [ 55 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) (* (cbrt x) (cbrt x))) (cbrt x)) (/ (tan (/ x 2)) x)))>
4.158 * * * * [progress]: [ 56 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) (sqrt x)) (sqrt x)) (/ (tan (/ x 2)) x)))>
4.158 * * * * [progress]: [ 57 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) 1) x) (/ (tan (/ x 2)) x)))>
4.158 * * * * [progress]: [ 58 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ x (cbrt (sin x)))) (/ (tan (/ x 2)) x)))>
4.158 * * * * [progress]: [ 59 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) (/ x (sqrt (sin x)))) (/ (tan (/ x 2)) x)))>
4.158 * * * * [progress]: [ 60 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (/ x (sin x))) (/ (tan (/ x 2)) x)))>
4.158 * * * * [progress]: [ 61 / 123 ] simplifiying candidate #<alt (λ (x) (* (posit16->real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
4.158 * * * * [progress]: [ 62 / 123 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
4.158 * * * * [progress]: [ 63 / 123 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
4.158 * * * * [progress]: [ 64 / 123 ] simplifiying candidate #<alt (λ (x) (pow (* (/ (sin x) x) (/ (tan (/ x 2)) x)) 1))>
4.158 * * * * [progress]: [ 65 / 123 ] simplifiying candidate #<alt (λ (x) (pow (* (/ (sin x) x) (/ (tan (/ x 2)) x)) 1))>
4.159 * * * * [progress]: [ 66 / 123 ] simplifiying candidate #<alt (λ (x) (exp (+ (- (log (sin x)) (log x)) (- (log (tan (/ x 2))) (log x)))))>
4.159 * * * * [progress]: [ 67 / 123 ] simplifiying candidate #<alt (λ (x) (exp (+ (- (log (sin x)) (log x)) (log (/ (tan (/ x 2)) x)))))>
4.159 * * * * [progress]: [ 68 / 123 ] simplifiying candidate #<alt (λ (x) (exp (+ (log (/ (sin x) x)) (- (log (tan (/ x 2))) (log x)))))>
4.159 * * * * [progress]: [ 69 / 123 ] simplifiying candidate #<alt (λ (x) (exp (+ (log (/ (sin x) x)) (log (/ (tan (/ x 2)) x)))))>
4.159 * * * * [progress]: [ 70 / 123 ] simplifiying candidate #<alt (λ (x) (exp (log (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
4.159 * * * * [progress]: [ 71 / 123 ] simplifiying candidate #<alt (λ (x) (log (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
4.159 * * * * [progress]: [ 72 / 123 ] simplifiying candidate #<alt (λ (x) (cbrt (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)))))>
4.159 * * * * [progress]: [ 73 / 123 ] simplifiying candidate #<alt (λ (x) (cbrt (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)))))>
4.159 * * * * [progress]: [ 74 / 123 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)))))>
4.159 * * * * [progress]: [ 75 / 123 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)))))>
4.159 * * * * [progress]: [ 76 / 123 ] simplifiying candidate #<alt (λ (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)))))>
4.159 * * * * [progress]: [ 77 / 123 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
4.159 * * * * [progress]: [ 78 / 123 ] simplifiying candidate #<alt (λ (x) (* (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
4.159 * * * * [progress]: [ 79 / 123 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (tan (/ x 2))) (* x x)))>
4.159 * * * * [progress]: [ 80 / 123 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (sin x) x) (/ (tan (/ x 2)) x))))>
4.159 * * * * [progress]: [ 81 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x)))))>
4.159 * * * * [progress]: [ 82 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x)))))>
4.160 * * * * [progress]: [ 83 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x)))))>
4.160 * * * * [progress]: [ 84 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)))))>
4.160 * * * * [progress]: [ 85 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))) (cbrt (/ (tan (/ x 2)) x))))>
4.160 * * * * [progress]: [ 86 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (sqrt (/ (tan (/ x 2)) x))) (sqrt (/ (tan (/ x 2)) x))))>
4.160 * * * * [progress]: [ 87 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x)))) (/ (cbrt (tan (/ x 2))) (cbrt x))))>
4.160 * * * * [progress]: [ 88 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))) (/ (cbrt (tan (/ x 2))) (sqrt x))))>
4.160 * * * * [progress]: [ 89 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)) (/ (cbrt (tan (/ x 2))) x)))>
4.160 * * * * [progress]: [ 90 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))) (/ (sqrt (tan (/ x 2))) (cbrt x))))>
4.160 * * * * [progress]: [ 91 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (sqrt x))) (/ (sqrt (tan (/ x 2))) (sqrt x))))>
4.160 * * * * [progress]: [ 92 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) 1)) (/ (sqrt (tan (/ x 2))) x)))>
4.160 * * * * [progress]: [ 93 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ 1 (* (cbrt x) (cbrt x)))) (/ (tan (/ x 2)) (cbrt x))))>
4.160 * * * * [progress]: [ 94 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ 1 (sqrt x))) (/ (tan (/ x 2)) (sqrt x))))>
4.160 * * * * [progress]: [ 95 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ 1 1)) (/ (tan (/ x 2)) x)))>
4.160 * * * * [progress]: [ 96 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) 1) (/ (tan (/ x 2)) x)))>
4.160 * * * * [progress]: [ 97 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (tan (/ x 2))) (/ 1 x)))>
4.160 * * * * [progress]: [ 98 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x))))>
4.161 * * * * [progress]: [ 99 / 123 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (sin x) x)) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x))))>
4.161 * * * * [progress]: [ 100 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (* (/ (cbrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x))))>
4.161 * * * * [progress]: [ 101 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (* (/ (cbrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x))))>
4.161 * * * * [progress]: [ 102 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (* (/ (cbrt (sin x)) x) (/ (tan (/ x 2)) x))))>
4.161 * * * * [progress]: [ 103 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (* (/ (sqrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x))))>
4.161 * * * * [progress]: [ 104 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) (sqrt x)) (* (/ (sqrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x))))>
4.161 * * * * [progress]: [ 105 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) 1) (* (/ (sqrt (sin x)) x) (/ (tan (/ x 2)) x))))>
4.161 * * * * [progress]: [ 106 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (cbrt x) (cbrt x))) (* (/ (sin x) (cbrt x)) (/ (tan (/ x 2)) x))))>
4.161 * * * * [progress]: [ 107 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt x)) (* (/ (sin x) (sqrt x)) (/ (tan (/ x 2)) x))))>
4.161 * * * * [progress]: [ 108 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ 1 1) (* (/ (sin x) x) (/ (tan (/ x 2)) x))))>
4.161 * * * * [progress]: [ 109 / 123 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (sin x) x) (/ (tan (/ x 2)) x))))>
4.161 * * * * [progress]: [ 110 / 123 ] simplifiying candidate #<alt (λ (x) (* (sin x) (* (/ 1 x) (/ (tan (/ x 2)) x))))>
4.161 * * * * [progress]: [ 111 / 123 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) x) (tan (/ x 2))) x))>
4.161 * * * * [progress]: [ 112 / 123 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))>
4.161 * * * * [progress]: [ 113 / 123 ] simplifiying candidate #<alt (λ (x) (posit16->real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
4.161 * * * * [progress]: [ 114 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (tan (/ x 2)) x) (/ (sin x) x)))>
4.161 * * * * [progress]: [ 115 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2))))>
4.161 * * * * [progress]: [ 116 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))))>
4.162 * * * * [progress]: [ 117 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))))>
4.162 * * * * [progress]: [ 118 / 123 ] simplifiying candidate #<alt (λ (x) (* (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (tan (/ x 2)) x)))>
4.162 * * * * [progress]: [ 119 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))>
4.162 * * * * [progress]: [ 120 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))>
4.162 * * * * [progress]: [ 121 / 123 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
4.162 * * * * [progress]: [ 122 / 123 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
4.162 * * * * [progress]: [ 123 / 123 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
4.164 * [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)))
4.167 * * [simplify]: iteration 1: (172 enodes)
4.260 * * [simplify]: iteration 2: (754 enodes)
4.447 * * [simplify]: iteration 3: (1805 enodes)
5.640 * * [simplify]: Extracting #0: cost 107 inf + 0
5.643 * * [simplify]: Extracting #1: cost 641 inf + 1
5.651 * * [simplify]: Extracting #2: cost 1042 inf + 4346
5.682 * * [simplify]: Extracting #3: cost 656 inf + 116575
5.771 * * [simplify]: Extracting #4: cost 73 inf + 311045
5.866 * * [simplify]: Extracting #5: cost 1 inf + 327472
5.955 * * [simplify]: Extracting #6: cost 0 inf + 327394
6.045 * [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 (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))), (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))), (/ (sqrt (sin x)) (/ (sqrt x) (/ (sqrt (tan (/ x 2))) (sqrt x)))), (/ (sqrt (sin x)) (/ (sqrt x) (/ (sqrt (tan (/ x 2))) (sqrt x)))), (* (cbrt (/ (tan (/ x 2)) x)) (* (cbrt (/ (tan (/ x 2)) x)) (/ (sin x) x))), (/ (sin x) (/ x (sqrt (/ (tan (/ x 2)) x)))), (/ (/ (sin x) x) (* (/ (cbrt x) (cbrt (tan (/ x 2)))) (/ (cbrt x) (cbrt (tan (/ x 2)))))), (* (/ (sin x) (* x (sqrt x))) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))), (* (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (sin x) x)), (/ (sin x) (* (* (cbrt x) (cbrt x)) (/ x (sqrt (tan (/ x 2)))))), (/ (sin x) (* (sqrt x) (/ x (sqrt (tan (/ x 2)))))), (/ (sqrt (tan (/ x 2))) (/ x (sin x))), (/ (/ (sin x) (* (cbrt x) (cbrt x))) x), (/ (sin x) (* x (sqrt x))), (/ (sin x) x), (/ (sin x) x), (/ (sin x) (/ x (tan (/ x 2)))), (/ (* (cbrt (/ (sin x) x)) (tan (/ x 2))) x), (* (/ (tan (/ x 2)) x) (sqrt (/ (sin x) x))), (/ (/ (cbrt (sin x)) (cbrt x)) (/ x (tan (/ x 2)))), (/ (* (cbrt (sin x)) (tan (/ x 2))) (* x (sqrt x))), (/ (cbrt (sin x)) (/ x (/ (tan (/ x 2)) x))), (/ (sqrt (sin x)) (* (/ x (tan (/ x 2))) (cbrt x))), (/ (/ (sqrt (sin x)) (/ x (tan (/ x 2)))) (sqrt x)), (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) x)), (/ (/ (sin x) (cbrt x)) (/ x (tan (/ x 2)))), (/ (/ (* (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), (/ (sin x) (/ x (tan (/ x 2)))), (/ (sin x) (/ x (tan (/ x 2)))), (real->posit16 (* (tan (/ x 2)) (/ (sin x) (* x x)))), (fma 1/24 (* x x) (fma 1/240 (* (* x x) (* x x)) 1/2)), (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))), (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))), (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 (* (* x x) (* x x)) 1/720 1/2)), (/ (/ (sin (* 1/2 x)) (/ (cos (* 1/2 x)) (sin x))) (* x x)), (/ (/ (sin (* 1/2 x)) (/ (cos (* 1/2 x)) (sin x))) (* x x))
6.057 * * * [progress]: adding candidates to table
7.086 * * [progress]: iteration 4 / 4
7.086 * * * [progress]: picking best candidate
7.095 * * * * [pick]: Picked  #<alt (λ (x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))>
7.095 * * * [progress]: localizing error
7.112 * * * [progress]: generating rewritten candidates
7.112 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2)
7.118 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
7.134 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
7.160 * * * [progress]: generating series expansions
7.160 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2)
7.160 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x)
7.160 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0
7.160 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x
7.160 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
7.161 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
7.161 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
7.161 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.161 * [taylor]: Taking taylor expansion of 1/2 in x
7.161 * [backup-simplify]: Simplify 1/2 into 1/2
7.161 * [taylor]: Taking taylor expansion of x in x
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify 1 into 1
7.161 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.162 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.162 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
7.162 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.162 * [taylor]: Taking taylor expansion of 1/2 in x
7.162 * [backup-simplify]: Simplify 1/2 into 1/2
7.162 * [taylor]: Taking taylor expansion of x in x
7.162 * [backup-simplify]: Simplify 0 into 0
7.162 * [backup-simplify]: Simplify 1 into 1
7.162 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.162 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
7.163 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.163 * [taylor]: Taking taylor expansion of x in x
7.163 * [backup-simplify]: Simplify 0 into 0
7.163 * [backup-simplify]: Simplify 1 into 1
7.163 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.163 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x
7.163 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
7.163 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
7.163 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
7.163 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.163 * [taylor]: Taking taylor expansion of 1/2 in x
7.164 * [backup-simplify]: Simplify 1/2 into 1/2
7.164 * [taylor]: Taking taylor expansion of x in x
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify 1 into 1
7.164 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.164 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.164 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
7.164 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.164 * [taylor]: Taking taylor expansion of 1/2 in x
7.164 * [backup-simplify]: Simplify 1/2 into 1/2
7.164 * [taylor]: Taking taylor expansion of x in x
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify 1 into 1
7.165 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.166 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.166 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
7.167 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.167 * [taylor]: Taking taylor expansion of x in x
7.167 * [backup-simplify]: Simplify 0 into 0
7.167 * [backup-simplify]: Simplify 1 into 1
7.167 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.167 * [backup-simplify]: Simplify 1/2 into 1/2
7.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.169 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.169 * [backup-simplify]: Simplify (+ 0) into 0
7.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.171 * [backup-simplify]: Simplify 0 into 0
7.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.173 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
7.174 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
7.175 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
7.177 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24
7.177 * [backup-simplify]: Simplify 1/24 into 1/24
7.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.179 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.181 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
7.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0
7.184 * [backup-simplify]: Simplify 0 into 0
7.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
7.188 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
7.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.191 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
7.193 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240
7.195 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240
7.195 * [backup-simplify]: Simplify 1/240 into 1/240
7.195 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 4)) (+ (* 1/24 (pow x 2)) 1/2)) into (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2))
7.195 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x)
7.195 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0
7.195 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x
7.195 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
7.195 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.195 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
7.195 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.195 * [taylor]: Taking taylor expansion of 1/2 in x
7.195 * [backup-simplify]: Simplify 1/2 into 1/2
7.195 * [taylor]: Taking taylor expansion of x in x
7.195 * [backup-simplify]: Simplify 0 into 0
7.195 * [backup-simplify]: Simplify 1 into 1
7.196 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.196 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
7.196 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
7.196 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.196 * [taylor]: Taking taylor expansion of 1/2 in x
7.196 * [backup-simplify]: Simplify 1/2 into 1/2
7.196 * [taylor]: Taking taylor expansion of x in x
7.196 * [backup-simplify]: Simplify 0 into 0
7.196 * [backup-simplify]: Simplify 1 into 1
7.197 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.197 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
7.197 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.197 * [taylor]: Taking taylor expansion of x in x
7.197 * [backup-simplify]: Simplify 0 into 0
7.197 * [backup-simplify]: Simplify 1 into 1
7.197 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x
7.197 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
7.197 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.197 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
7.197 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.197 * [taylor]: Taking taylor expansion of 1/2 in x
7.197 * [backup-simplify]: Simplify 1/2 into 1/2
7.197 * [taylor]: Taking taylor expansion of x in x
7.197 * [backup-simplify]: Simplify 0 into 0
7.197 * [backup-simplify]: Simplify 1 into 1
7.197 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.198 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
7.198 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
7.198 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.198 * [taylor]: Taking taylor expansion of 1/2 in x
7.198 * [backup-simplify]: Simplify 1/2 into 1/2
7.198 * [taylor]: Taking taylor expansion of x in x
7.198 * [backup-simplify]: Simplify 0 into 0
7.198 * [backup-simplify]: Simplify 1 into 1
7.198 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.198 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
7.198 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.198 * [taylor]: Taking taylor expansion of x in x
7.198 * [backup-simplify]: Simplify 0 into 0
7.198 * [backup-simplify]: Simplify 1 into 1
7.199 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0
7.199 * [backup-simplify]: Simplify 0 into 0
7.199 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
7.199 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.199 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.200 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.201 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0
7.201 * [backup-simplify]: Simplify 0 into 0
7.201 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.202 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.202 * [backup-simplify]: Simplify 0 into 0
7.202 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.203 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.203 * [backup-simplify]: Simplify 0 into 0
7.204 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.205 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
7.205 * [backup-simplify]: Simplify 0 into 0
7.205 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.206 * [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
7.207 * [backup-simplify]: Simplify 0 into 0
7.207 * [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
7.208 * [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
7.208 * [backup-simplify]: Simplify 0 into 0
7.208 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))
7.209 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x))))
7.209 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0
7.209 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x
7.209 * [taylor]: Taking taylor expansion of -1 in x
7.209 * [backup-simplify]: Simplify -1 into -1
7.209 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x
7.209 * [taylor]: Taking taylor expansion of x in x
7.209 * [backup-simplify]: Simplify 0 into 0
7.209 * [backup-simplify]: Simplify 1 into 1
7.209 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
7.209 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
7.209 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
7.209 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
7.209 * [taylor]: Taking taylor expansion of -1/2 in x
7.209 * [backup-simplify]: Simplify -1/2 into -1/2
7.209 * [taylor]: Taking taylor expansion of x in x
7.209 * [backup-simplify]: Simplify 0 into 0
7.209 * [backup-simplify]: Simplify 1 into 1
7.209 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.209 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
7.209 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
7.209 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
7.209 * [taylor]: Taking taylor expansion of -1/2 in x
7.209 * [backup-simplify]: Simplify -1/2 into -1/2
7.209 * [taylor]: Taking taylor expansion of x in x
7.209 * [backup-simplify]: Simplify 0 into 0
7.209 * [backup-simplify]: Simplify 1 into 1
7.210 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.210 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
7.210 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
7.210 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x
7.210 * [taylor]: Taking taylor expansion of -1 in x
7.210 * [backup-simplify]: Simplify -1 into -1
7.210 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x
7.210 * [taylor]: Taking taylor expansion of x in x
7.210 * [backup-simplify]: Simplify 0 into 0
7.210 * [backup-simplify]: Simplify 1 into 1
7.210 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
7.210 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
7.210 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
7.210 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
7.210 * [taylor]: Taking taylor expansion of -1/2 in x
7.210 * [backup-simplify]: Simplify -1/2 into -1/2
7.210 * [taylor]: Taking taylor expansion of x in x
7.210 * [backup-simplify]: Simplify 0 into 0
7.210 * [backup-simplify]: Simplify 1 into 1
7.211 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.211 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
7.211 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
7.211 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
7.211 * [taylor]: Taking taylor expansion of -1/2 in x
7.211 * [backup-simplify]: Simplify -1/2 into -1/2
7.211 * [taylor]: Taking taylor expansion of x in x
7.211 * [backup-simplify]: Simplify 0 into 0
7.211 * [backup-simplify]: Simplify 1 into 1
7.211 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.212 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
7.212 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
7.212 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0
7.212 * [backup-simplify]: Simplify (* -1 0) into 0
7.212 * [backup-simplify]: Simplify 0 into 0
7.213 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
7.213 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
7.214 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))
7.214 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))
7.214 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.215 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0
7.216 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0
7.216 * [backup-simplify]: Simplify 0 into 0
7.216 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
7.219 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0
7.219 * [backup-simplify]: Simplify 0 into 0
7.219 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0
7.222 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0
7.222 * [backup-simplify]: Simplify 0 into 0
7.222 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0
7.226 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0
7.226 * [backup-simplify]: Simplify 0 into 0
7.227 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.229 * [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
7.230 * [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
7.230 * [backup-simplify]: Simplify 0 into 0
7.230 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.232 * [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
7.234 * [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
7.234 * [backup-simplify]: Simplify 0 into 0
7.234 * [backup-simplify]: Simplify (* (- (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))
7.234 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
7.234 * [backup-simplify]: Simplify (* (sin x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) x)
7.234 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in (x) around 0
7.234 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x
7.234 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
7.234 * [taylor]: Taking taylor expansion of (sin x) in x
7.234 * [taylor]: Taking taylor expansion of x in x
7.234 * [backup-simplify]: Simplify 0 into 0
7.234 * [backup-simplify]: Simplify 1 into 1
7.234 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
7.234 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
7.234 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
7.234 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.234 * [taylor]: Taking taylor expansion of 1/2 in x
7.234 * [backup-simplify]: Simplify 1/2 into 1/2
7.234 * [taylor]: Taking taylor expansion of x in x
7.234 * [backup-simplify]: Simplify 0 into 0
7.234 * [backup-simplify]: Simplify 1 into 1
7.234 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.235 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.235 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
7.235 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.235 * [taylor]: Taking taylor expansion of 1/2 in x
7.235 * [backup-simplify]: Simplify 1/2 into 1/2
7.235 * [taylor]: Taking taylor expansion of x in x
7.235 * [backup-simplify]: Simplify 0 into 0
7.235 * [backup-simplify]: Simplify 1 into 1
7.235 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.236 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
7.237 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.237 * [taylor]: Taking taylor expansion of x in x
7.237 * [backup-simplify]: Simplify 0 into 0
7.237 * [backup-simplify]: Simplify 1 into 1
7.237 * [backup-simplify]: Simplify (* 0 1/2) into 0
7.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.238 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.238 * [backup-simplify]: Simplify (+ 0) into 0
7.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.239 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.240 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
7.240 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.240 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x
7.240 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
7.240 * [taylor]: Taking taylor expansion of (sin x) in x
7.240 * [taylor]: Taking taylor expansion of x in x
7.240 * [backup-simplify]: Simplify 0 into 0
7.240 * [backup-simplify]: Simplify 1 into 1
7.240 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
7.240 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
7.240 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
7.240 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.240 * [taylor]: Taking taylor expansion of 1/2 in x
7.240 * [backup-simplify]: Simplify 1/2 into 1/2
7.240 * [taylor]: Taking taylor expansion of x in x
7.240 * [backup-simplify]: Simplify 0 into 0
7.240 * [backup-simplify]: Simplify 1 into 1
7.240 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.241 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.241 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
7.241 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.241 * [taylor]: Taking taylor expansion of 1/2 in x
7.241 * [backup-simplify]: Simplify 1/2 into 1/2
7.241 * [taylor]: Taking taylor expansion of x in x
7.241 * [backup-simplify]: Simplify 0 into 0
7.241 * [backup-simplify]: Simplify 1 into 1
7.241 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.242 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.242 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
7.242 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.242 * [taylor]: Taking taylor expansion of x in x
7.242 * [backup-simplify]: Simplify 0 into 0
7.242 * [backup-simplify]: Simplify 1 into 1
7.243 * [backup-simplify]: Simplify (* 0 1/2) into 0
7.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.244 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.244 * [backup-simplify]: Simplify (+ 0) into 0
7.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.245 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
7.245 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.246 * [backup-simplify]: Simplify 1/2 into 1/2
7.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.247 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
7.248 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
7.249 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
7.249 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.250 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
7.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.250 * [backup-simplify]: Simplify 0 into 0
7.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.252 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.253 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
7.255 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24
7.258 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
7.258 * [backup-simplify]: Simplify -1/24 into -1/24
7.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
7.261 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
7.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.263 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
7.265 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240
7.265 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.267 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0
7.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
7.268 * [backup-simplify]: Simplify 0 into 0
7.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
7.271 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.273 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.274 * [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
7.276 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
7.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720
7.278 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
7.278 * [backup-simplify]: Simplify 1/720 into 1/720
7.279 * [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)))
7.279 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) into (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) x))
7.279 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) x)) in (x) around 0
7.279 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) x)) in x
7.279 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
7.279 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.279 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
7.279 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.279 * [taylor]: Taking taylor expansion of 1/2 in x
7.279 * [backup-simplify]: Simplify 1/2 into 1/2
7.279 * [taylor]: Taking taylor expansion of x in x
7.279 * [backup-simplify]: Simplify 0 into 0
7.279 * [backup-simplify]: Simplify 1 into 1
7.279 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.279 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
7.279 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
7.279 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.279 * [taylor]: Taking taylor expansion of 1/2 in x
7.279 * [backup-simplify]: Simplify 1/2 into 1/2
7.279 * [taylor]: Taking taylor expansion of x in x
7.279 * [backup-simplify]: Simplify 0 into 0
7.279 * [backup-simplify]: Simplify 1 into 1
7.280 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.280 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
7.280 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.280 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) x) in x
7.280 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.280 * [taylor]: Taking taylor expansion of x in x
7.280 * [backup-simplify]: Simplify 0 into 0
7.280 * [backup-simplify]: Simplify 1 into 1
7.280 * [backup-simplify]: Simplify (/ 1 1) into 1
7.280 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.280 * [taylor]: Taking taylor expansion of x in x
7.280 * [backup-simplify]: Simplify 0 into 0
7.280 * [backup-simplify]: Simplify 1 into 1
7.280 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) x)) in x
7.280 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
7.280 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.280 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
7.280 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.280 * [taylor]: Taking taylor expansion of 1/2 in x
7.280 * [backup-simplify]: Simplify 1/2 into 1/2
7.280 * [taylor]: Taking taylor expansion of x in x
7.280 * [backup-simplify]: Simplify 0 into 0
7.280 * [backup-simplify]: Simplify 1 into 1
7.281 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.281 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
7.281 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
7.281 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.281 * [taylor]: Taking taylor expansion of 1/2 in x
7.281 * [backup-simplify]: Simplify 1/2 into 1/2
7.281 * [taylor]: Taking taylor expansion of x in x
7.281 * [backup-simplify]: Simplify 0 into 0
7.281 * [backup-simplify]: Simplify 1 into 1
7.281 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.281 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
7.281 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.281 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) x) in x
7.281 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.281 * [taylor]: Taking taylor expansion of x in x
7.281 * [backup-simplify]: Simplify 0 into 0
7.281 * [backup-simplify]: Simplify 1 into 1
7.282 * [backup-simplify]: Simplify (/ 1 1) into 1
7.282 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.282 * [taylor]: Taking taylor expansion of x in x
7.282 * [backup-simplify]: Simplify 0 into 0
7.282 * [backup-simplify]: Simplify 1 into 1
7.282 * [backup-simplify]: Simplify (* (sin (/ 1 x)) 0) into 0
7.282 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0
7.282 * [backup-simplify]: Simplify 0 into 0
7.282 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 1) (* 0 0)) into (sin (/ 1 x))
7.282 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
7.283 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) (* 0 0)) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
7.283 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
7.283 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 1) (* 0 0))) into 0
7.283 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.284 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 (sin (/ 1 x))) (* 0 0))) into 0
7.284 * [backup-simplify]: Simplify 0 into 0
7.284 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.284 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.285 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 (sin (/ 1 x))) (* 0 0)))) into 0
7.285 * [backup-simplify]: Simplify 0 into 0
7.286 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.286 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.287 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ 1 x))) (* 0 0))))) into 0
7.287 * [backup-simplify]: Simplify 0 into 0
7.287 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
7.288 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.289 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ 1 x))) (* 0 0)))))) into 0
7.289 * [backup-simplify]: Simplify 0 into 0
7.289 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
7.290 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.291 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ 1 x))) (* 0 0))))))) into 0
7.291 * [backup-simplify]: Simplify 0 into 0
7.292 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
7.292 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.293 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ 1 x))) (* 0 0)))))))) into 0
7.294 * [backup-simplify]: Simplify 0 into 0
7.294 * [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))
7.294 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) into (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))))
7.294 * [approximate]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in (x) around 0
7.294 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x
7.294 * [taylor]: Taking taylor expansion of -1 in x
7.294 * [backup-simplify]: Simplify -1 into -1
7.294 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
7.294 * [taylor]: Taking taylor expansion of x in x
7.294 * [backup-simplify]: Simplify 0 into 0
7.294 * [backup-simplify]: Simplify 1 into 1
7.294 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
7.294 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
7.294 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
7.294 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
7.294 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
7.294 * [taylor]: Taking taylor expansion of -1/2 in x
7.294 * [backup-simplify]: Simplify -1/2 into -1/2
7.294 * [taylor]: Taking taylor expansion of x in x
7.294 * [backup-simplify]: Simplify 0 into 0
7.294 * [backup-simplify]: Simplify 1 into 1
7.294 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.294 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
7.294 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
7.294 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
7.294 * [taylor]: Taking taylor expansion of -1/2 in x
7.295 * [backup-simplify]: Simplify -1/2 into -1/2
7.295 * [taylor]: Taking taylor expansion of x in x
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [backup-simplify]: Simplify 1 into 1
7.295 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.295 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
7.295 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
7.295 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.295 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.295 * [taylor]: Taking taylor expansion of -1 in x
7.295 * [backup-simplify]: Simplify -1 into -1
7.295 * [taylor]: Taking taylor expansion of x in x
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [backup-simplify]: Simplify 1 into 1
7.295 * [backup-simplify]: Simplify (/ -1 1) into -1
7.295 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.295 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x
7.295 * [taylor]: Taking taylor expansion of -1 in x
7.295 * [backup-simplify]: Simplify -1 into -1
7.295 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
7.295 * [taylor]: Taking taylor expansion of x in x
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [backup-simplify]: Simplify 1 into 1
7.295 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
7.296 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
7.296 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
7.296 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
7.296 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
7.296 * [taylor]: Taking taylor expansion of -1/2 in x
7.296 * [backup-simplify]: Simplify -1/2 into -1/2
7.296 * [taylor]: Taking taylor expansion of x in x
7.296 * [backup-simplify]: Simplify 0 into 0
7.296 * [backup-simplify]: Simplify 1 into 1
7.296 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.296 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
7.296 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
7.296 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
7.296 * [taylor]: Taking taylor expansion of -1/2 in x
7.296 * [backup-simplify]: Simplify -1/2 into -1/2
7.296 * [taylor]: Taking taylor expansion of x in x
7.296 * [backup-simplify]: Simplify 0 into 0
7.296 * [backup-simplify]: Simplify 1 into 1
7.296 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.296 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
7.296 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
7.297 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.297 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.297 * [taylor]: Taking taylor expansion of -1 in x
7.297 * [backup-simplify]: Simplify -1 into -1
7.297 * [taylor]: Taking taylor expansion of x in x
7.297 * [backup-simplify]: Simplify 0 into 0
7.297 * [backup-simplify]: Simplify 1 into 1
7.297 * [backup-simplify]: Simplify (/ -1 1) into -1
7.297 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.297 * [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)))
7.297 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into 0
7.297 * [backup-simplify]: Simplify (* -1 0) into 0
7.297 * [backup-simplify]: Simplify 0 into 0
7.298 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
7.298 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
7.298 * [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)))
7.298 * [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))))
7.299 * [backup-simplify]: Simplify (- (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (- (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))
7.299 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.299 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
7.300 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
7.300 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))) into 0
7.300 * [backup-simplify]: Simplify 0 into 0
7.301 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.301 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
7.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0
7.303 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))) into 0
7.303 * [backup-simplify]: Simplify 0 into 0
7.303 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.304 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
7.305 * [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
7.306 * [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
7.306 * [backup-simplify]: Simplify 0 into 0
7.306 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.307 * [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
7.308 * [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
7.310 * [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
7.310 * [backup-simplify]: Simplify 0 into 0
7.310 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.312 * [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
7.314 * [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
7.317 * [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
7.317 * [backup-simplify]: Simplify 0 into 0
7.317 * [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
7.320 * [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
7.322 * [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
7.325 * [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
7.325 * [backup-simplify]: Simplify 0 into 0
7.325 * [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))
7.325 * * * * [progress]: [ 3 / 3 ] generating series at (2)
7.325 * [backup-simplify]: Simplify (/ (* (sin x) (/ (tan (/ x 2)) x)) x) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2))
7.325 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0
7.325 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x
7.325 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
7.325 * [taylor]: Taking taylor expansion of (sin x) in x
7.325 * [taylor]: Taking taylor expansion of x in x
7.325 * [backup-simplify]: Simplify 0 into 0
7.325 * [backup-simplify]: Simplify 1 into 1
7.325 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
7.325 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
7.325 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
7.325 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.325 * [taylor]: Taking taylor expansion of 1/2 in x
7.325 * [backup-simplify]: Simplify 1/2 into 1/2
7.326 * [taylor]: Taking taylor expansion of x in x
7.326 * [backup-simplify]: Simplify 0 into 0
7.326 * [backup-simplify]: Simplify 1 into 1
7.326 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.327 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.327 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
7.327 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.327 * [taylor]: Taking taylor expansion of 1/2 in x
7.327 * [backup-simplify]: Simplify 1/2 into 1/2
7.327 * [taylor]: Taking taylor expansion of x in x
7.327 * [backup-simplify]: Simplify 0 into 0
7.327 * [backup-simplify]: Simplify 1 into 1
7.327 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.328 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.328 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
7.329 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.329 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.329 * [taylor]: Taking taylor expansion of x in x
7.329 * [backup-simplify]: Simplify 0 into 0
7.329 * [backup-simplify]: Simplify 1 into 1
7.329 * [backup-simplify]: Simplify (* 0 1/2) into 0
7.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.331 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.331 * [backup-simplify]: Simplify (+ 0) into 0
7.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.333 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.333 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
7.334 * [backup-simplify]: Simplify (* 1 1) into 1
7.334 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.334 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x
7.334 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
7.334 * [taylor]: Taking taylor expansion of (sin x) in x
7.334 * [taylor]: Taking taylor expansion of x in x
7.334 * [backup-simplify]: Simplify 0 into 0
7.334 * [backup-simplify]: Simplify 1 into 1
7.334 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
7.334 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
7.334 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
7.334 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.334 * [taylor]: Taking taylor expansion of 1/2 in x
7.334 * [backup-simplify]: Simplify 1/2 into 1/2
7.334 * [taylor]: Taking taylor expansion of x in x
7.334 * [backup-simplify]: Simplify 0 into 0
7.334 * [backup-simplify]: Simplify 1 into 1
7.335 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.335 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.335 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
7.335 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.336 * [taylor]: Taking taylor expansion of 1/2 in x
7.336 * [backup-simplify]: Simplify 1/2 into 1/2
7.336 * [taylor]: Taking taylor expansion of x in x
7.336 * [backup-simplify]: Simplify 0 into 0
7.336 * [backup-simplify]: Simplify 1 into 1
7.336 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.337 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.337 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
7.338 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.338 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.338 * [taylor]: Taking taylor expansion of x in x
7.338 * [backup-simplify]: Simplify 0 into 0
7.338 * [backup-simplify]: Simplify 1 into 1
7.338 * [backup-simplify]: Simplify (* 0 1/2) into 0
7.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.340 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.340 * [backup-simplify]: Simplify (+ 0) into 0
7.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.342 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.343 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
7.343 * [backup-simplify]: Simplify (* 1 1) into 1
7.343 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.344 * [backup-simplify]: Simplify 1/2 into 1/2
7.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.346 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
7.347 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
7.349 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
7.349 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.350 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
7.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.351 * [backup-simplify]: Simplify 0 into 0
7.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.352 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.355 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
7.357 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24
7.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.359 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
7.359 * [backup-simplify]: Simplify -1/24 into -1/24
7.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
7.362 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
7.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.364 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
7.366 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240
7.368 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.369 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0
7.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
7.371 * [backup-simplify]: Simplify 0 into 0
7.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
7.375 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.377 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.378 * [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
7.380 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
7.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720
7.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.382 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
7.383 * [backup-simplify]: Simplify 1/720 into 1/720
7.383 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))
7.383 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) (/ 1 x)) into (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2)))
7.383 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in (x) around 0
7.383 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in x
7.383 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
7.383 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.383 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
7.383 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.383 * [taylor]: Taking taylor expansion of 1/2 in x
7.383 * [backup-simplify]: Simplify 1/2 into 1/2
7.383 * [taylor]: Taking taylor expansion of x in x
7.383 * [backup-simplify]: Simplify 0 into 0
7.383 * [backup-simplify]: Simplify 1 into 1
7.383 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.383 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
7.384 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
7.384 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.384 * [taylor]: Taking taylor expansion of 1/2 in x
7.384 * [backup-simplify]: Simplify 1/2 into 1/2
7.384 * [taylor]: Taking taylor expansion of x in x
7.384 * [backup-simplify]: Simplify 0 into 0
7.384 * [backup-simplify]: Simplify 1 into 1
7.384 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.384 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
7.384 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.384 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (pow x 2)) in x
7.384 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.384 * [taylor]: Taking taylor expansion of x in x
7.384 * [backup-simplify]: Simplify 0 into 0
7.384 * [backup-simplify]: Simplify 1 into 1
7.384 * [backup-simplify]: Simplify (/ 1 1) into 1
7.384 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.384 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.384 * [taylor]: Taking taylor expansion of x in x
7.384 * [backup-simplify]: Simplify 0 into 0
7.384 * [backup-simplify]: Simplify 1 into 1
7.384 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in x
7.384 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
7.385 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.385 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
7.385 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.385 * [taylor]: Taking taylor expansion of 1/2 in x
7.385 * [backup-simplify]: Simplify 1/2 into 1/2
7.385 * [taylor]: Taking taylor expansion of x in x
7.385 * [backup-simplify]: Simplify 0 into 0
7.385 * [backup-simplify]: Simplify 1 into 1
7.385 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.385 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
7.385 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
7.385 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.385 * [taylor]: Taking taylor expansion of 1/2 in x
7.385 * [backup-simplify]: Simplify 1/2 into 1/2
7.385 * [taylor]: Taking taylor expansion of x in x
7.385 * [backup-simplify]: Simplify 0 into 0
7.385 * [backup-simplify]: Simplify 1 into 1
7.385 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.385 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
7.385 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.385 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (pow x 2)) in x
7.385 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.385 * [taylor]: Taking taylor expansion of x in x
7.386 * [backup-simplify]: Simplify 0 into 0
7.386 * [backup-simplify]: Simplify 1 into 1
7.386 * [backup-simplify]: Simplify (/ 1 1) into 1
7.386 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.386 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.386 * [taylor]: Taking taylor expansion of x in x
7.386 * [backup-simplify]: Simplify 0 into 0
7.386 * [backup-simplify]: Simplify 1 into 1
7.386 * [backup-simplify]: Simplify (* 1 1) into 1
7.386 * [backup-simplify]: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x))
7.386 * [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)))
7.386 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
7.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.387 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0
7.387 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
7.387 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
7.387 * [backup-simplify]: Simplify 0 into 0
7.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.388 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0
7.389 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.389 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
7.389 * [backup-simplify]: Simplify 0 into 0
7.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.390 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.390 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.391 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
7.391 * [backup-simplify]: Simplify 0 into 0
7.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.392 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.392 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.393 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
7.393 * [backup-simplify]: Simplify 0 into 0
7.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.395 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.395 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.396 * [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
7.396 * [backup-simplify]: Simplify 0 into 0
7.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
7.399 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
7.399 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.401 * [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
7.401 * [backup-simplify]: Simplify 0 into 0
7.401 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
7.402 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) (/ 1 (- x))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x))))
7.402 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0
7.402 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
7.402 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.402 * [taylor]: Taking taylor expansion of x in x
7.402 * [backup-simplify]: Simplify 0 into 0
7.402 * [backup-simplify]: Simplify 1 into 1
7.402 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
7.402 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
7.402 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
7.402 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
7.402 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
7.402 * [taylor]: Taking taylor expansion of -1/2 in x
7.402 * [backup-simplify]: Simplify -1/2 into -1/2
7.402 * [taylor]: Taking taylor expansion of x in x
7.402 * [backup-simplify]: Simplify 0 into 0
7.402 * [backup-simplify]: Simplify 1 into 1
7.403 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.403 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
7.403 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
7.403 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
7.403 * [taylor]: Taking taylor expansion of -1/2 in x
7.403 * [backup-simplify]: Simplify -1/2 into -1/2
7.403 * [taylor]: Taking taylor expansion of x in x
7.403 * [backup-simplify]: Simplify 0 into 0
7.403 * [backup-simplify]: Simplify 1 into 1
7.403 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.403 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
7.403 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
7.403 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.403 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.403 * [taylor]: Taking taylor expansion of -1 in x
7.403 * [backup-simplify]: Simplify -1 into -1
7.404 * [taylor]: Taking taylor expansion of x in x
7.404 * [backup-simplify]: Simplify 0 into 0
7.404 * [backup-simplify]: Simplify 1 into 1
7.404 * [backup-simplify]: Simplify (/ -1 1) into -1
7.404 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.404 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
7.404 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.404 * [taylor]: Taking taylor expansion of x in x
7.404 * [backup-simplify]: Simplify 0 into 0
7.404 * [backup-simplify]: Simplify 1 into 1
7.404 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
7.404 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
7.404 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
7.404 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
7.404 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
7.404 * [taylor]: Taking taylor expansion of -1/2 in x
7.404 * [backup-simplify]: Simplify -1/2 into -1/2
7.404 * [taylor]: Taking taylor expansion of x in x
7.404 * [backup-simplify]: Simplify 0 into 0
7.404 * [backup-simplify]: Simplify 1 into 1
7.405 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.405 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
7.405 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
7.405 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
7.405 * [taylor]: Taking taylor expansion of -1/2 in x
7.405 * [backup-simplify]: Simplify -1/2 into -1/2
7.405 * [taylor]: Taking taylor expansion of x in x
7.405 * [backup-simplify]: Simplify 0 into 0
7.405 * [backup-simplify]: Simplify 1 into 1
7.406 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.406 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
7.406 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
7.406 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.406 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.406 * [taylor]: Taking taylor expansion of -1 in x
7.406 * [backup-simplify]: Simplify -1 into -1
7.406 * [taylor]: Taking taylor expansion of x in x
7.406 * [backup-simplify]: Simplify 0 into 0
7.406 * [backup-simplify]: Simplify 1 into 1
7.406 * [backup-simplify]: Simplify (/ -1 1) into -1
7.406 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.407 * [backup-simplify]: Simplify (* 1 1) into 1
7.407 * [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)))
7.407 * [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)))
7.407 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
7.408 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
7.408 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
7.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0
7.409 * [backup-simplify]: Simplify 0 into 0
7.409 * [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)))))) into 0
7.410 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
7.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
7.412 * [backup-simplify]: Simplify 0 into 0
7.412 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.413 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
7.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0
7.415 * [backup-simplify]: Simplify 0 into 0
7.416 * [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)))))) into 0
7.417 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
7.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.418 * [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
7.418 * [backup-simplify]: Simplify 0 into 0
7.419 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.420 * [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
7.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.422 * [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
7.422 * [backup-simplify]: Simplify 0 into 0
7.422 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.423 * [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
7.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
7.425 * [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
7.425 * [backup-simplify]: Simplify 0 into 0
7.426 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
7.426 * * * [progress]: simplifying candidates
7.426 * * * * [progress]: [ 1 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (log1p (expm1 (/ (tan (/ x 2)) x)))) x))>
7.426 * * * * [progress]: [ 2 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (expm1 (log1p (/ (tan (/ x 2)) x)))) x))>
7.426 * * * * [progress]: [ 3 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (pow (/ (tan (/ x 2)) x) 1)) x))>
7.426 * * * * [progress]: [ 4 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (exp (- (log (tan (/ x 2))) (log x)))) x))>
7.426 * * * * [progress]: [ 5 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (exp (log (/ (tan (/ x 2)) x)))) x))>
7.426 * * * * [progress]: [ 6 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (log (exp (/ (tan (/ x 2)) x)))) x))>
7.426 * * * * [progress]: [ 7 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (cbrt (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)))) x))>
7.426 * * * * [progress]: [ 8 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)))) x))>
7.426 * * * * [progress]: [ 9 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (cbrt (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)))) x))>
7.426 * * * * [progress]: [ 10 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)))) x))>
7.426 * * * * [progress]: [ 11 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (- (tan (/ x 2))) (- x))) x))>
7.426 * * * * [progress]: [ 12 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)))) x))>
7.426 * * * * [progress]: [ 13 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (/ (cbrt (tan (/ x 2))) (sqrt x)))) x))>
7.426 * * * * [progress]: [ 14 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1) (/ (cbrt (tan (/ x 2))) x))) x))>
7.426 * * * * [progress]: [ 15 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)))) x))>
7.426 * * * * [progress]: [ 16 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)))) x))>
7.426 * * * * [progress]: [ 17 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (/ (sqrt (tan (/ x 2))) 1) (/ (sqrt (tan (/ x 2))) x))) x))>
7.426 * * * * [progress]: [ 18 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)))) x))>
7.426 * * * * [progress]: [ 19 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)))) x))>
7.427 * * * * [progress]: [ 20 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (/ 1 1) (/ (tan (/ x 2)) x))) x))>
7.427 * * * * [progress]: [ 21 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* 1 (/ (tan (/ x 2)) x))) x))>
7.427 * * * * [progress]: [ 22 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (tan (/ x 2)) (/ 1 x))) x))>
7.427 * * * * [progress]: [ 23 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ 1 (/ x (tan (/ x 2))))) x))>
7.427 * * * * [progress]: [ 24 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (cbrt x))) x))>
7.427 * * * * [progress]: [ 25 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (/ (tan (/ x 2)) (sqrt x)) (sqrt x))) x))>
7.427 * * * * [progress]: [ 26 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (/ (tan (/ x 2)) 1) x)) x))>
7.427 * * * * [progress]: [ 27 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ x (cbrt (tan (/ x 2)))))) x))>
7.427 * * * * [progress]: [ 28 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (sqrt (tan (/ x 2))) (/ x (sqrt (tan (/ x 2)))))) x))>
7.427 * * * * [progress]: [ 29 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ 1 (/ x (tan (/ x 2))))) x))>
7.427 * * * * [progress]: [ 30 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (sin (/ x 2)) (* x (cos (/ x 2))))) x))>
7.427 * * * * [progress]: [ 31 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (posit16->real (real->posit16 (/ (tan (/ x 2)) x)))) x))>
7.427 * * * * [progress]: [ 32 / 102 ] simplifiying candidate #<alt (λ (x) (/ (log1p (expm1 (* (sin x) (/ (tan (/ x 2)) x)))) x))>
7.427 * * * * [progress]: [ 33 / 102 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (* (sin x) (/ (tan (/ x 2)) x)))) x))>
7.427 * * * * [progress]: [ 34 / 102 ] simplifiying candidate #<alt (λ (x) (/ (pow (* (sin x) (/ (tan (/ x 2)) x)) 1) x))>
7.427 * * * * [progress]: [ 35 / 102 ] simplifiying candidate #<alt (λ (x) (/ (pow (* (sin x) (/ (tan (/ x 2)) x)) 1) x))>
7.427 * * * * [progress]: [ 36 / 102 ] simplifiying candidate #<alt (λ (x) (/ (exp (+ (log (sin x)) (- (log (tan (/ x 2))) (log x)))) x))>
7.427 * * * * [progress]: [ 37 / 102 ] simplifiying candidate #<alt (λ (x) (/ (exp (+ (log (sin x)) (log (/ (tan (/ x 2)) x)))) x))>
7.427 * * * * [progress]: [ 38 / 102 ] simplifiying candidate #<alt (λ (x) (/ (exp (log (* (sin x) (/ (tan (/ x 2)) x)))) x))>
7.427 * * * * [progress]: [ 39 / 102 ] simplifiying candidate #<alt (λ (x) (/ (log (exp (* (sin x) (/ (tan (/ x 2)) x)))) x))>
7.427 * * * * [progress]: [ 40 / 102 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (* (sin x) (sin x)) (sin x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)))) x))>
7.427 * * * * [progress]: [ 41 / 102 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (* (sin x) (sin x)) (sin x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)))) x))>
7.427 * * * * [progress]: [ 42 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (* (cbrt (* (sin x) (/ (tan (/ x 2)) x))) (cbrt (* (sin x) (/ (tan (/ x 2)) x)))) (cbrt (* (sin x) (/ (tan (/ x 2)) x)))) x))>
7.428 * * * * [progress]: [ 43 / 102 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x))) (* (sin x) (/ (tan (/ x 2)) x)))) x))>
7.428 * * * * [progress]: [ 44 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (* (sin x) (/ (tan (/ x 2)) x))) (sqrt (* (sin x) (/ (tan (/ x 2)) x)))) x))>
7.428 * * * * [progress]: [ 45 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (* (sin x) (/ (tan (/ x 2)) x))) x))>
7.428 * * * * [progress]: [ 46 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sqrt (sin x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (sin x)) (sqrt (/ (tan (/ x 2)) x)))) x))>
7.428 * * * * [progress]: [ 47 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sqrt (sin x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sqrt (sin x)) (/ (sqrt (tan (/ x 2))) (sqrt x)))) x))>
7.428 * * * * [progress]: [ 48 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))) (cbrt (/ (tan (/ x 2)) x))) x))>
7.428 * * * * [progress]: [ 49 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (sqrt (/ (tan (/ x 2)) x))) (sqrt (/ (tan (/ x 2)) x))) x))>
7.428 * * * * [progress]: [ 50 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x)))) (/ (cbrt (tan (/ x 2))) (cbrt x))) x))>
7.428 * * * * [progress]: [ 51 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))) (/ (cbrt (tan (/ x 2))) (sqrt x))) x))>
7.428 * * * * [progress]: [ 52 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)) (/ (cbrt (tan (/ x 2))) x)) x))>
7.428 * * * * [progress]: [ 53 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))) (/ (sqrt (tan (/ x 2))) (cbrt x))) x))>
7.428 * * * * [progress]: [ 54 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (/ (sqrt (tan (/ x 2))) (sqrt x))) (/ (sqrt (tan (/ x 2))) (sqrt x))) x))>
7.428 * * * * [progress]: [ 55 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (/ (sqrt (tan (/ x 2))) 1)) (/ (sqrt (tan (/ x 2))) x)) x))>
7.428 * * * * [progress]: [ 56 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (/ 1 (* (cbrt x) (cbrt x)))) (/ (tan (/ x 2)) (cbrt x))) x))>
7.428 * * * * [progress]: [ 57 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (/ 1 (sqrt x))) (/ (tan (/ x 2)) (sqrt x))) x))>
7.428 * * * * [progress]: [ 58 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (/ 1 1)) (/ (tan (/ x 2)) x)) x))>
7.428 * * * * [progress]: [ 59 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) 1) (/ (tan (/ x 2)) x)) x))>
7.428 * * * * [progress]: [ 60 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (tan (/ x 2))) (/ 1 x)) x))>
7.428 * * * * [progress]: [ 61 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (/ (tan (/ x 2)) x))) x))>
7.428 * * * * [progress]: [ 62 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (sin x)) (* (sqrt (sin x)) (/ (tan (/ x 2)) x))) x))>
7.428 * * * * [progress]: [ 63 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (* (sin x) (/ (tan (/ x 2)) x))) x))>
7.428 * * * * [progress]: [ 64 / 102 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (tan (/ x 2))) x) x))>
7.428 * * * * [progress]: [ 65 / 102 ] simplifiying candidate #<alt (λ (x) (/ (posit16->real (real->posit16 (* (sin x) (/ (tan (/ x 2)) x)))) x))>
7.428 * * * * [progress]: [ 66 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (tan (/ x 2)) x) (sin x)) x))>
7.428 * * * * [progress]: [ 67 / 102 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (/ (* (sin x) (/ (tan (/ x 2)) x)) x))))>
7.428 * * * * [progress]: [ 68 / 102 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (/ (* (sin x) (/ (tan (/ x 2)) x)) x))))>
7.428 * * * * [progress]: [ 69 / 102 ] simplifiying candidate #<alt (λ (x) (pow (/ (* (sin x) (/ (tan (/ x 2)) x)) x) 1))>
7.428 * * * * [progress]: [ 70 / 102 ] simplifiying candidate #<alt (λ (x) (exp (- (+ (log (sin x)) (- (log (tan (/ x 2))) (log x))) (log x))))>
7.428 * * * * [progress]: [ 71 / 102 ] simplifiying candidate #<alt (λ (x) (exp (- (+ (log (sin x)) (log (/ (tan (/ x 2)) x))) (log x))))>
7.429 * * * * [progress]: [ 72 / 102 ] simplifiying candidate #<alt (λ (x) (exp (- (log (* (sin x) (/ (tan (/ x 2)) x))) (log x))))>
7.429 * * * * [progress]: [ 73 / 102 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (* (sin x) (/ (tan (/ x 2)) x)) x))))>
7.429 * * * * [progress]: [ 74 / 102 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (* (sin x) (/ (tan (/ x 2)) x)) x))))>
7.429 * * * * [progress]: [ 75 / 102 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (* (sin x) (sin x)) (sin x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (* x x) x))))>
7.429 * * * * [progress]: [ 76 / 102 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (* x x) x))))>
7.429 * * * * [progress]: [ 77 / 102 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x))) (* (sin x) (/ (tan (/ x 2)) x))) (* (* x x) x))))>
7.429 * * * * [progress]: [ 78 / 102 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (cbrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x))) (cbrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x))))>
7.429 * * * * [progress]: [ 79 / 102 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))))>
7.429 * * * * [progress]: [ 80 / 102 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (sqrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x))))>
7.429 * * * * [progress]: [ 81 / 102 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sin x) (/ (tan (/ x 2)) x))) (- x)))>
7.429 * * * * [progress]: [ 82 / 102 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) (* (cbrt x) (cbrt x))) (/ (/ (tan (/ x 2)) x) (cbrt x))))>
7.429 * * * * [progress]: [ 83 / 102 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) (sqrt x)) (/ (/ (tan (/ x 2)) x) (sqrt x))))>
7.429 * * * * [progress]: [ 84 / 102 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) 1) (/ (/ (tan (/ x 2)) x) x)))>
7.429 * * * * [progress]: [ 85 / 102 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (* (sin x) (/ (tan (/ x 2)) x)) x)))>
7.429 * * * * [progress]: [ 86 / 102 ] simplifiying candidate #<alt (λ (x) (* (* (sin x) (/ (tan (/ x 2)) x)) (/ 1 x)))>
7.429 * * * * [progress]: [ 87 / 102 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ x (* (sin x) (/ (tan (/ x 2)) x)))))>
7.429 * * * * [progress]: [ 88 / 102 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (/ (tan (/ x 2)) x)) (* (cbrt x) (cbrt x))) (cbrt x)))>
7.429 * * * * [progress]: [ 89 / 102 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (/ (tan (/ x 2)) x)) (sqrt x)) (sqrt x)))>
7.429 * * * * [progress]: [ 90 / 102 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (/ (tan (/ x 2)) x)) 1) x))>
7.429 * * * * [progress]: [ 91 / 102 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (/ x (/ (tan (/ x 2)) x))))>
7.429 * * * * [progress]: [ 92 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (tan (/ x 2))) (* x x)))>
7.429 * * * * [progress]: [ 93 / 102 ] simplifiying candidate #<alt (λ (x) (posit16->real (real->posit16 (/ (* (sin x) (/ (tan (/ x 2)) x)) x))))>
7.429 * * * * [progress]: [ 94 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2))) x))>
7.429 * * * * [progress]: [ 95 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) x))>
7.429 * * * * [progress]: [ 96 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) x))>
7.429 * * * * [progress]: [ 97 / 102 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) x))>
7.429 * * * * [progress]: [ 98 / 102 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) x))>
7.429 * * * * [progress]: [ 99 / 102 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) x))>
7.429 * * * * [progress]: [ 100 / 102 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
7.429 * * * * [progress]: [ 101 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
7.429 * * * * [progress]: [ 102 / 102 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
7.430 * [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) (/ (tan (/ x 2)) x))), (log1p (* (sin x) (/ (tan (/ x 2)) x))), (* (sin x) (/ (tan (/ x 2)) x)), (+ (log (sin x)) (- (log (tan (/ x 2))) (log x))), (+ (log (sin x)) (log (/ (tan (/ x 2)) x))), (log (* (sin x) (/ (tan (/ x 2)) x))), (exp (* (sin x) (/ (tan (/ x 2)) x))), (* (* (* (sin x) (sin x)) (sin x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))), (* (* (* (sin x) (sin x)) (sin x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))), (* (cbrt (* (sin x) (/ (tan (/ x 2)) x))) (cbrt (* (sin x) (/ (tan (/ x 2)) x)))), (cbrt (* (sin x) (/ (tan (/ x 2)) x))), (* (* (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x))) (* (sin x) (/ (tan (/ x 2)) x))), (sqrt (* (sin x) (/ (tan (/ x 2)) x))), (sqrt (* (sin x) (/ (tan (/ x 2)) x))), (* (sqrt (sin x)) (sqrt (/ (tan (/ x 2)) x))), (* (sqrt (sin x)) (sqrt (/ (tan (/ x 2)) x))), (* (sqrt (sin x)) (/ (sqrt (tan (/ x 2))) (sqrt x))), (* (sqrt (sin x)) (/ (sqrt (tan (/ x 2))) (sqrt x))), (* (sin x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))), (* (sin x) (sqrt (/ (tan (/ x 2)) x))), (* (sin x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x)))), (* (sin x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))), (* (sin x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)), (* (sin x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))), (* (sin x) (/ (sqrt (tan (/ x 2))) (sqrt x))), (* (sin x) (/ (sqrt (tan (/ x 2))) 1)), (* (sin x) (/ 1 (* (cbrt x) (cbrt x)))), (* (sin x) (/ 1 (sqrt x))), (* (sin x) (/ 1 1)), (* (sin x) 1), (* (sin x) (tan (/ x 2))), (* (cbrt (sin x)) (/ (tan (/ x 2)) x)), (* (sqrt (sin x)) (/ (tan (/ x 2)) x)), (* (sin x) (/ (tan (/ x 2)) x)), (* (sin x) (tan (/ x 2))), (real->posit16 (* (sin x) (/ (tan (/ x 2)) x))), (expm1 (/ (* (sin x) (/ (tan (/ x 2)) x)) x)), (log1p (/ (* (sin x) (/ (tan (/ x 2)) x)) x)), (- (+ (log (sin x)) (- (log (tan (/ x 2))) (log x))) (log x)), (- (+ (log (sin x)) (log (/ (tan (/ x 2)) x))) (log x)), (- (log (* (sin x) (/ (tan (/ x 2)) x))) (log x)), (log (/ (* (sin x) (/ (tan (/ x 2)) x)) x)), (exp (/ (* (sin x) (/ (tan (/ x 2)) x)) x)), (/ (* (* (* (sin x) (sin x)) (sin x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (* x x) x)), (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (* x x) x)), (/ (* (* (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x))) (* (sin x) (/ (tan (/ x 2)) x))) (* (* x x) x)), (* (cbrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (cbrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x))), (cbrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)), (* (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (/ (* (sin x) (/ (tan (/ x 2)) x)) x)), (sqrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)), (sqrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)), (- (* (sin x) (/ (tan (/ x 2)) x))), (- x), (/ (sin x) (* (cbrt x) (cbrt x))), (/ (/ (tan (/ x 2)) x) (cbrt x)), (/ (sin x) (sqrt x)), (/ (/ (tan (/ x 2)) x) (sqrt x)), (/ (sin x) 1), (/ (/ (tan (/ x 2)) x) x), (/ 1 x), (/ x (* (sin x) (/ (tan (/ x 2)) x))), (/ (* (sin x) (/ (tan (/ x 2)) x)) (* (cbrt x) (cbrt x))), (/ (* (sin x) (/ (tan (/ x 2)) x)) (sqrt x)), (/ (* (sin x) (/ (tan (/ x 2)) x)) 1), (/ x (/ (tan (/ x 2)) x)), (* x x), (real->posit16 (/ (* (sin x) (/ (tan (/ x 2)) x)) x)), (+ (* 1/24 (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)), (- (+ (* 1/2 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)), (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))), (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))), (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
7.432 * * [simplify]: iteration 1: (154 enodes)
7.483 * * [simplify]: iteration 2: (640 enodes)
7.709 * * [simplify]: iteration 3: (1652 enodes)
8.885 * * [simplify]: Extracting #0: cost 85 inf + 0
8.888 * * [simplify]: Extracting #1: cost 825 inf + 1
8.895 * * [simplify]: Extracting #2: cost 1564 inf + 3201
8.906 * * [simplify]: Extracting #3: cost 1379 inf + 40923
8.965 * * [simplify]: Extracting #4: cost 538 inf + 345673
9.070 * * [simplify]: Extracting #5: cost 16 inf + 554188
9.169 * * [simplify]: Extracting #6: cost 0 inf + 556104
9.279 * [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))) (cbrt (tan (/ x 2)))) (sqrt x)), (/ (cbrt (tan (/ x 2))) (sqrt x)), (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))), (/ (cbrt (tan (/ x 2))) x), (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))), (/ (sqrt (tan (/ x 2))) (cbrt x)), (/ (sqrt (tan (/ x 2))) (sqrt x)), (/ (sqrt (tan (/ x 2))) (sqrt x)), (sqrt (tan (/ x 2))), (/ (sqrt (tan (/ x 2))) x), (/ (/ 1 (cbrt x)) (cbrt x)), (/ (tan (/ x 2)) (cbrt x)), (/ 1 (sqrt x)), (/ (tan (/ x 2)) (sqrt x)), 1, (/ (tan (/ x 2)) x), (/ 1 x), (/ x (tan (/ x 2))), (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))), (/ (tan (/ x 2)) (sqrt x)), (tan (/ x 2)), (/ x (cbrt (tan (/ x 2)))), (/ x (sqrt (tan (/ x 2)))), (/ x (tan (/ x 2))), (* (cos (/ x 2)) x), (real->posit16 (/ (tan (/ x 2)) x)), (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))))), (* (sqrt (sin x)) (sqrt (/ (tan (/ x 2)) x))), (* (sqrt (sin x)) (sqrt (/ (tan (/ x 2)) x))), (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (tan (/ x 2)))), (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (tan (/ x 2)))), (* (sin x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))), (* (sqrt (/ (tan (/ x 2)) x)) (sin x)), (* (sin x) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (cbrt x)))), (/ (* (* (sin x) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))) (sqrt x)), (* (* (sin x) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))), (/ (* (sqrt (tan (/ x 2))) (sin x)) (* (cbrt x) (cbrt x))), (/ (* (sqrt (tan (/ x 2))) (sin x)) (sqrt x)), (* (sqrt (tan (/ x 2))) (sin x)), (/ (sin x) (* (cbrt x) (cbrt x))), (/ (sin x) (sqrt x)), (sin x), (sin x), (* (sin x) (tan (/ x 2))), (* (cbrt (sin x)) (/ (tan (/ x 2)) x)), (* (sqrt (sin x)) (/ (tan (/ x 2)) x)), (/ (sin x) (/ x (tan (/ x 2)))), (* (sin x) (tan (/ x 2))), (real->posit16 (/ (sin x) (/ x (tan (/ x 2))))), (expm1 (/ (/ (tan (/ x 2)) x) (/ x (sin x)))), (log1p (/ (/ (tan (/ x 2)) x) (/ x (sin x)))), (log (/ (/ (tan (/ x 2)) x) (/ x (sin x)))), (log (/ (/ (tan (/ x 2)) x) (/ x (sin x)))), (log (/ (/ (tan (/ x 2)) x) (/ x (sin x)))), (log (/ (/ (tan (/ x 2)) x) (/ x (sin x)))), (exp (/ (/ (tan (/ x 2)) x) (/ x (sin x)))), (* (/ (/ (tan (/ x 2)) x) (/ x (sin x))) (* (/ (/ (tan (/ x 2)) x) (/ x (sin x))) (/ (/ (tan (/ x 2)) x) (/ x (sin x))))), (* (/ (/ (tan (/ x 2)) x) (/ x (sin x))) (* (/ (/ (tan (/ x 2)) x) (/ x (sin x))) (/ (/ (tan (/ x 2)) x) (/ x (sin x))))), (* (/ (/ (tan (/ x 2)) x) (/ x (sin x))) (* (/ (/ (tan (/ x 2)) x) (/ x (sin x))) (/ (/ (tan (/ x 2)) x) (/ x (sin x))))), (* (cbrt (/ (/ (tan (/ x 2)) x) (/ x (sin x)))) (cbrt (/ (/ (tan (/ x 2)) x) (/ x (sin x))))), (cbrt (/ (/ (tan (/ x 2)) x) (/ x (sin x)))), (* (/ (/ (tan (/ x 2)) x) (/ x (sin x))) (* (/ (/ (tan (/ x 2)) x) (/ x (sin x))) (/ (/ (tan (/ x 2)) x) (/ x (sin x))))), (sqrt (/ (/ (tan (/ x 2)) x) (/ x (sin x)))), (sqrt (/ (/ (tan (/ x 2)) x) (/ x (sin x)))), (/ (- (sin x)) (/ x (tan (/ x 2)))), (- x), (/ (sin x) (* (cbrt x) (cbrt x))), (/ (/ (tan (/ x 2)) (cbrt x)) x), (/ (sin x) (sqrt x)), (/ (tan (/ x 2)) (* x (sqrt x))), (sin x), (/ (/ (tan (/ x 2)) x) x), (/ 1 x), (/ (/ x (/ (sin x) x)) (tan (/ x 2))), (/ (/ (sin x) (cbrt x)) (/ (* x (cbrt x)) (tan (/ x 2)))), (/ (* (sin x) (tan (/ x 2))) (* x (sqrt x))), (/ (sin x) (/ x (tan (/ x 2)))), (* (/ x (tan (/ x 2))) x), (* x x), (real->posit16 (/ (/ (tan (/ x 2)) x) (/ x (sin x)))), (fma (* x x) 1/24 (fma (* (* x x) (* x x)) 1/240 1/2)), (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)), (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)), (fma (pow x 5) 1/720 (* x (- 1/2 (* (* 1/24 x) x)))), (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)), (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)), (fma (* x x) -1/24 (fma 1/720 (* (* x x) (* x x)) 1/2)), (/ (/ (sin x) (cos (* 1/2 x))) (/ x (/ (sin (* 1/2 x)) x))), (/ (/ (sin x) (cos (* 1/2 x))) (/ x (/ (sin (* 1/2 x)) x)))
9.283 * * * [progress]: adding candidates to table
10.102 * [progress]: [Phase 3 of 3] Extracting.
10.102 * * [regime]: Finding splitpoints for: (#<alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))> #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))> #<alt (λ (x) (* (* (sin x) (/ (tan (/ x 2)) x)) (/ 1 x)))> #<alt (λ (x) (/ (/ (sin x) (cos (* 1/2 x))) (/ x (/ (sin (* 1/2 x)) x))))> #<alt (λ (x) (/ 1 (/ x (* (sin x) (/ (tan (/ x 2)) x)))))>)
10.103 * * * [regime-changes]: Trying 2 branch expressions: (x (/ (- 1 (cos x)) (* x x)))
10.103 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))> #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))> #<alt (λ (x) (* (* (sin x) (/ (tan (/ x 2)) x)) (/ 1 x)))> #<alt (λ (x) (/ (/ (sin x) (cos (* 1/2 x))) (/ x (/ (sin (* 1/2 x)) x))))> #<alt (λ (x) (/ 1 (/ x (* (sin x) (/ (tan (/ x 2)) x)))))>)
10.130 * * * * [regimes]: Trying to branch on (/ (- 1 (cos x)) (* x x)) from (#<alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))> #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))> #<alt (λ (x) (* (* (sin x) (/ (tan (/ x 2)) x)) (/ 1 x)))> #<alt (λ (x) (/ (/ (sin x) (cos (* 1/2 x))) (/ x (/ (sin (* 1/2 x)) x))))> #<alt (λ (x) (/ 1 (/ x (* (sin x) (/ (tan (/ x 2)) x)))))>)
10.164 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
10.164 * [simplify]: Simplifying (* (/ (sin x) x) (/ (tan (/ x 2)) x))
10.164 * * [simplify]: iteration 1: (8 enodes)
10.165 * * [simplify]: iteration 2: (9 enodes)
10.165 * * [simplify]: Extracting #0: cost 1 inf + 0
10.165 * * [simplify]: Extracting #1: cost 3 inf + 0
10.166 * * [simplify]: Extracting #2: cost 6 inf + 0
10.166 * * [simplify]: Extracting #3: cost 6 inf + 1
10.166 * * [simplify]: Extracting #4: cost 5 inf + 163
10.166 * * [simplify]: Extracting #5: cost 0 inf + 837
10.166 * [simplify]: Simplified to (* (/ (tan (/ x 2)) x) (/ (sin x) x))
15.889 * [regime-testing]: Baseline error score: 0.13011588949339836
15.891 * [regime-testing]: Oracle error score: 0.021450801662797996
15.897 * [regime-testing]: End program error score: 0.13011588949339836