16.351 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.107 * * * [progress]: [2/2] Setting up program.
0.109 * [progress]: [Phase 2 of 3] Improving.
0.109 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))>
0.110 * [simplify]: Simplifying:
  (/ (- 1 (cos x)) (* x x))
0.110 * * [simplify]: iteration 1: (6 enodes)
0.111 * * [simplify]: iteration 2: (13 enodes)
0.113 * * [simplify]: iteration 3: (21 enodes)
0.116 * * [simplify]: iteration 4: (26 enodes)
0.121 * * [simplify]: iteration 5: (28 enodes)
0.128 * * [simplify]: Extracting #0: cost 1 inf + 0
0.128 * * [simplify]: Extracting #1: cost 8 inf + 0
0.128 * * [simplify]: Extracting #2: cost 12 inf + 42
0.128 * * [simplify]: Extracting #3: cost 6 inf + 588
0.129 * * [simplify]: Extracting #4: cost 0 inf + 1319
0.129 * [simplify]: Simplified to:
  (/ (- 1 (cos x)) (* x x))
0.133 * * [progress]: iteration 1 / 4
0.134 * * * [progress]: picking best candidate
0.137 * * * * [pick]: Picked  #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))>
0.137 * * * [progress]: localizing error
0.153 * * * [progress]: generating rewritten candidates
0.153 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.186 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.198 * * * [progress]: generating series expansions
0.198 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.207 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2))
0.207 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0
0.208 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x
0.209 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x
0.209 * [taylor]: Taking taylor expansion of 1 in x
0.209 * [backup-simplify]: Simplify 1 into 1
0.209 * [taylor]: Taking taylor expansion of (cos x) in x
0.209 * [taylor]: Taking taylor expansion of x in x
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.209 * [taylor]: Taking taylor expansion of x in x
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.211 * [backup-simplify]: Simplify (- 1) into -1
0.212 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.213 * [backup-simplify]: Simplify (+ 0) into 0
0.213 * [backup-simplify]: Simplify (- 0) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.214 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.215 * [backup-simplify]: Simplify (- -1/2) into 1/2
0.215 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.216 * [backup-simplify]: Simplify (* 1 1) into 1
0.216 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.216 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x
0.216 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x
0.216 * [taylor]: Taking taylor expansion of 1 in x
0.216 * [backup-simplify]: Simplify 1 into 1
0.216 * [taylor]: Taking taylor expansion of (cos x) in x
0.216 * [taylor]: Taking taylor expansion of x in x
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.216 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.216 * [taylor]: Taking taylor expansion of x in x
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.217 * [backup-simplify]: Simplify (- 1) into -1
0.217 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.218 * [backup-simplify]: Simplify (+ 0) into 0
0.218 * [backup-simplify]: Simplify (- 0) into 0
0.218 * [backup-simplify]: Simplify (+ 0 0) into 0
0.219 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.220 * [backup-simplify]: Simplify (- -1/2) into 1/2
0.220 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.220 * [backup-simplify]: Simplify (* 1 1) into 1
0.221 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.221 * [backup-simplify]: Simplify 1/2 into 1/2
0.223 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.223 * [backup-simplify]: Simplify (- 0) into 0
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.225 * [backup-simplify]: Simplify 0 into 0
0.228 * [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
0.229 * [backup-simplify]: Simplify (- 1/24) into -1/24
0.229 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24
0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.232 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
0.232 * [backup-simplify]: Simplify -1/24 into -1/24
0.235 * [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
0.235 * [backup-simplify]: Simplify (- 0) into 0
0.235 * [backup-simplify]: Simplify (+ 0 0) into 0
0.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.243 * [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
0.244 * [backup-simplify]: Simplify (- -1/720) into 1/720
0.244 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720
0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.247 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
0.247 * [backup-simplify]: Simplify 1/720 into 1/720
0.249 * [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)))
0.249 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x))))
0.249 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0
0.249 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x
0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.249 * [taylor]: Taking taylor expansion of x in x
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 1 into 1
0.249 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
0.249 * [taylor]: Taking taylor expansion of 1 in x
0.249 * [backup-simplify]: Simplify 1 into 1
0.249 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.250 * [taylor]: Taking taylor expansion of x in x
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [backup-simplify]: Simplify (/ 1 1) into 1
0.250 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.250 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x
0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.250 * [taylor]: Taking taylor expansion of x in x
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
0.250 * [taylor]: Taking taylor expansion of 1 in x
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.251 * [taylor]: Taking taylor expansion of x in x
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [backup-simplify]: Simplify (/ 1 1) into 1
0.251 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.252 * [backup-simplify]: Simplify (* 1 1) into 1
0.252 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x)))
0.252 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
0.252 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
0.252 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
0.253 * [backup-simplify]: Simplify (- 0) into 0
0.253 * [backup-simplify]: Simplify (+ 0 0) into 0
0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify (- 0) into 0
0.255 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify (- 0) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify (- 0) into 0
0.261 * [backup-simplify]: Simplify (+ 0 0) into 0
0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify (- 0) into 0
0.264 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify (- 0) into 0
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2))
0.273 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x))))
0.273 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0
0.273 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x
0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.273 * [taylor]: Taking taylor expansion of x in x
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 1 into 1
0.273 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x
0.273 * [taylor]: Taking taylor expansion of 1 in x
0.273 * [backup-simplify]: Simplify 1 into 1
0.273 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.273 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.273 * [taylor]: Taking taylor expansion of -1 in x
0.274 * [backup-simplify]: Simplify -1 into -1
0.274 * [taylor]: Taking taylor expansion of x in x
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 1 into 1
0.274 * [backup-simplify]: Simplify (/ -1 1) into -1
0.274 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.274 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x
0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.274 * [taylor]: Taking taylor expansion of x in x
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 1 into 1
0.274 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x
0.274 * [taylor]: Taking taylor expansion of 1 in x
0.274 * [backup-simplify]: Simplify 1 into 1
0.274 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.274 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.274 * [taylor]: Taking taylor expansion of -1 in x
0.275 * [backup-simplify]: Simplify -1 into -1
0.275 * [taylor]: Taking taylor expansion of x in x
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [backup-simplify]: Simplify (/ -1 1) into -1
0.275 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.276 * [backup-simplify]: Simplify (* 1 1) into 1
0.276 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x)))
0.276 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
0.276 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
0.276 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x)))
0.276 * [backup-simplify]: Simplify (- 0) into 0
0.277 * [backup-simplify]: Simplify (+ 0 0) into 0
0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify (- 0) into 0
0.279 * [backup-simplify]: Simplify (+ 0 0) into 0
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [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 0) (* 0 1)))) into 0
0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify (- 0) into 0
0.285 * [backup-simplify]: Simplify (+ 0 0) into 0
0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify (- 0) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify (- 0) into 0
0.293 * [backup-simplify]: Simplify (+ 0 0) into 0
0.295 * [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))
0.297 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.297 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x))
0.297 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0
0.297 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x
0.297 * [taylor]: Taking taylor expansion of 1 in x
0.297 * [backup-simplify]: Simplify 1 into 1
0.297 * [taylor]: Taking taylor expansion of (cos x) in x
0.298 * [taylor]: Taking taylor expansion of x in x
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x
0.298 * [taylor]: Taking taylor expansion of 1 in x
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [taylor]: Taking taylor expansion of (cos x) in x
0.298 * [taylor]: Taking taylor expansion of x in x
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (- 1) into -1
0.299 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify (+ 0) into 0
0.299 * [backup-simplify]: Simplify (- 0) into 0
0.300 * [backup-simplify]: Simplify (+ 0 0) into 0
0.300 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.302 * [backup-simplify]: Simplify (- -1/2) into 1/2
0.302 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.302 * [backup-simplify]: Simplify 1/2 into 1/2
0.303 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.304 * [backup-simplify]: Simplify (- 0) into 0
0.304 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.307 * [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
0.308 * [backup-simplify]: Simplify (- 1/24) into -1/24
0.308 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24
0.308 * [backup-simplify]: Simplify -1/24 into -1/24
0.311 * [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
0.311 * [backup-simplify]: Simplify (- 0) into 0
0.312 * [backup-simplify]: Simplify (+ 0 0) into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.324 * [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
0.325 * [backup-simplify]: Simplify (- -1/720) into 1/720
0.325 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720
0.325 * [backup-simplify]: Simplify 1/720 into 1/720
0.326 * [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)))
0.326 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
0.326 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0
0.326 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
0.326 * [taylor]: Taking taylor expansion of 1 in x
0.326 * [backup-simplify]: Simplify 1 into 1
0.326 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.326 * [taylor]: Taking taylor expansion of x in x
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify (/ 1 1) into 1
0.327 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.327 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
0.327 * [taylor]: Taking taylor expansion of 1 in x
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.327 * [taylor]: Taking taylor expansion of x in x
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify (/ 1 1) into 1
0.328 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.328 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x)))
0.328 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
0.328 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
0.328 * [backup-simplify]: Simplify (- 0) into 0
0.329 * [backup-simplify]: Simplify (+ 0 0) into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify (- 0) into 0
0.330 * [backup-simplify]: Simplify (+ 0 0) into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify (- 0) into 0
0.330 * [backup-simplify]: Simplify (+ 0 0) into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify (- 0) into 0
0.331 * [backup-simplify]: Simplify (+ 0 0) into 0
0.331 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify (- 0) into 0
0.332 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [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 (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x))
0.333 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x)))
0.333 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0
0.333 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x
0.333 * [taylor]: Taking taylor expansion of 1 in x
0.333 * [backup-simplify]: Simplify 1 into 1
0.333 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.333 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.333 * [taylor]: Taking taylor expansion of -1 in x
0.333 * [backup-simplify]: Simplify -1 into -1
0.333 * [taylor]: Taking taylor expansion of x in x
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (/ -1 1) into -1
0.334 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.334 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x
0.334 * [taylor]: Taking taylor expansion of 1 in x
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.334 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.334 * [taylor]: Taking taylor expansion of -1 in x
0.334 * [backup-simplify]: Simplify -1 into -1
0.334 * [taylor]: Taking taylor expansion of x in x
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (/ -1 1) into -1
0.335 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.335 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x)))
0.335 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
0.335 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x)))
0.336 * [backup-simplify]: Simplify (- 0) into 0
0.336 * [backup-simplify]: Simplify (+ 0 0) into 0
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify (- 0) into 0
0.337 * [backup-simplify]: Simplify (+ 0 0) into 0
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [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
0.339 * [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 / 67 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (/ (- 1 (cos x)) (* x x)))))>
0.340 * * * * [progress]: [ 2 / 67 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (/ (- 1 (cos x)) (* x x)))))>
0.341 * * * * [progress]: [ 3 / 67 ] simplifiying candidate #<alt (λ (x) (pow (/ (- 1 (cos x)) (* x x)) 1))>
0.341 * * * * [progress]: [ 4 / 67 ] simplifiying candidate #<alt (λ (x) (exp (- (log (- 1 (cos x))) (+ (log x) (log x)))))>
0.341 * * * * [progress]: [ 5 / 67 ] simplifiying candidate #<alt (λ (x) (exp (- (log (- 1 (cos x))) (log (* x x)))))>
0.341 * * * * [progress]: [ 6 / 67 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (- 1 (cos x)) (* x x)))))>
0.341 * * * * [progress]: [ 7 / 67 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (- 1 (cos x)) (* x x)))))>
0.341 * * * * [progress]: [ 8 / 67 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) x) (* (* x x) x)))))>
0.341 * * * * [progress]: [ 9 / 67 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x)))))>
0.341 * * * * [progress]: [ 10 / 67 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x)))))>
0.341 * * * * [progress]: [ 11 / 67 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x)))))>
0.341 * * * * [progress]: [ 12 / 67 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x)))))>
0.341 * * * * [progress]: [ 13 / 67 ] simplifiying candidate #<alt (λ (x) (/ (- (- 1 (cos x))) (- (* x x))))>
0.342 * * * * [progress]: [ 14 / 67 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (* x x)) (/ (cos x) (* x x))))>
0.342 * * * * [progress]: [ 15 / 67 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x) (/ (cbrt (- 1 (cos x))) x)))>
0.342 * * * * [progress]: [ 16 / 67 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x)))>
0.342 * * * * [progress]: [ 17 / 67 ] simplifiying candidate #<alt (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x)))>
0.342 * * * * [progress]: [ 18 / 67 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt 1) (sqrt (cos x))) x) (/ (- (sqrt 1) (sqrt (cos x))) x)))>
0.342 * * * * [progress]: [ 19 / 67 ] simplifiying candidate #<alt (λ (x) (* (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x)))>
0.342 * * * * [progress]: [ 20 / 67 ] simplifiying candidate #<alt (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x)))>
0.342 * * * * [progress]: [ 21 / 67 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (- 1 (cos x)) (* x x))))>
0.342 * * * * [progress]: [ 22 / 67 ] simplifiying candidate #<alt (λ (x) (* (- 1 (cos x)) (/ 1 (* x x))))>
0.342 * * * * [progress]: [ 23 / 67 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
0.342 * * * * [progress]: [ 24 / 67 ] simplifiying candidate #<alt (λ (x) (/ (/ (- 1 (cos x)) x) x))>
0.342 * * * * [progress]: [ 25 / 67 ] simplifiying candidate #<alt (λ (x) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (/ (* x x) (cbrt (- 1 (cos x))))))>
0.342 * * * * [progress]: [ 26 / 67 ] simplifiying candidate #<alt (λ (x) (/ (sqrt (- 1 (cos x))) (/ (* x x) (sqrt (- 1 (cos x))))))>
0.342 * * * * [progress]: [ 27 / 67 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
0.342 * * * * [progress]: [ 28 / 67 ] simplifiying candidate #<alt (λ (x) (/ (+ (sqrt 1) (sqrt (cos x))) (/ (* x x) (- (sqrt 1) (sqrt (cos x))))))>
0.342 * * * * [progress]: [ 29 / 67 ] simplifiying candidate #<alt (λ (x) (/ (+ 1 (sqrt (cos x))) (/ (* x x) (- 1 (sqrt (cos x))))))>
0.343 * * * * [progress]: [ 30 / 67 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
0.343 * * * * [progress]: [ 31 / 67 ] simplifiying candidate #<alt (λ (x) (/ (- (pow 1 3) (pow (cos x) 3)) (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))))))>
0.343 * * * * [progress]: [ 32 / 67 ] simplifiying candidate #<alt (λ (x) (/ (- (* 1 1) (* (cos x) (cos x))) (* (* x x) (+ 1 (cos x)))))>
0.343 * * * * [progress]: [ 33 / 67 ] 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)))>
0.343 * * * * [progress]: [ 34 / 67 ] 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)))>
0.343 * * * * [progress]: [ 35 / 67 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1))) (* x x)))>
0.343 * * * * [progress]: [ 36 / 67 ] 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)))>
0.343 * * * * [progress]: [ 37 / 67 ] 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)))>
0.343 * * * * [progress]: [ 38 / 67 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1) (sqrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1))) (* x x)))>
0.343 * * * * [progress]: [ 39 / 67 ] 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)))>
0.343 * * * * [progress]: [ 40 / 67 ] 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)))>
0.343 * * * * [progress]: [ 41 / 67 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1))) (* x x)))>
0.343 * * * * [progress]: [ 42 / 67 ] simplifiying candidate #<alt (λ (x) (/ (log1p (expm1 (- 1 (cos x)))) (* x x)))>
0.343 * * * * [progress]: [ 43 / 67 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1 (cos x)))) (* x x)))>
0.343 * * * * [progress]: [ 44 / 67 ] simplifiying candidate #<alt (λ (x) (/ (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (cos x))) (* x x)))>
0.343 * * * * [progress]: [ 45 / 67 ] simplifiying candidate #<alt (λ (x) (/ (fma (sqrt 1) (sqrt 1) (- (cos x))) (* x x)))>
0.344 * * * * [progress]: [ 46 / 67 ] simplifiying candidate #<alt (λ (x) (/ (fma 1 1 (- (cos x))) (* x x)))>
0.344 * * * * [progress]: [ 47 / 67 ] simplifiying candidate #<alt (λ (x) (/ (log (/ (exp 1) (exp (cos x)))) (* x x)))>
0.344 * * * * [progress]: [ 48 / 67 ] simplifiying candidate #<alt (λ (x) (/ (pow (- 1 (cos x)) 1) (* x x)))>
0.344 * * * * [progress]: [ 49 / 67 ] simplifiying candidate #<alt (λ (x) (/ (exp (log (- 1 (cos x)))) (* x x)))>
0.344 * * * * [progress]: [ 50 / 67 ] simplifiying candidate #<alt (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x)))>
0.344 * * * * [progress]: [ 51 / 67 ] simplifiying candidate #<alt (λ (x) (/ (* (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x)))) (* x x)))>
0.344 * * * * [progress]: [ 52 / 67 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x)))) (* x x)))>
0.344 * * * * [progress]: [ 53 / 67 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x)))) (* x x)))>
0.344 * * * * [progress]: [ 54 / 67 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))) (* x x)))>
0.344 * * * * [progress]: [ 55 / 67 ] simplifiying candidate #<alt (λ (x) (/ (+ 1 (- (cos x))) (* x x)))>
0.344 * * * * [progress]: [ 56 / 67 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (- 1 (cos x))) (* x x)))>
0.344 * * * * [progress]: [ 57 / 67 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (* 1 1) (* (cos x) (cos x))) (+ 1 (cos x))) (* x x)))>
0.344 * * * * [progress]: [ 58 / 67 ] simplifiying candidate #<alt (λ (x) (/ (* (+ (sqrt 1) (sqrt (cos x))) (- (sqrt 1) (sqrt (cos x)))) (* x x)))>
0.344 * * * * [progress]: [ 59 / 67 ] simplifiying candidate #<alt (λ (x) (/ (* (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x)))) (* x x)))>
0.344 * * * * [progress]: [ 60 / 67 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (- 1 (cos x))) (* x x)))>
0.344 * * * * [progress]: [ 61 / 67 ] simplifiying candidate #<alt (λ (x) (/ (+ 1 (- (cos x))) (* x x)))>
0.344 * * * * [progress]: [ 62 / 67 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
0.345 * * * * [progress]: [ 63 / 67 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (pow x 2)))>
0.345 * * * * [progress]: [ 64 / 67 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (pow x 2)))>
0.345 * * * * [progress]: [ 65 / 67 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)))>
0.345 * * * * [progress]: [ 66 / 67 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))>
0.345 * * * * [progress]: [ 67 / 67 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))>
0.346 * [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)))
  (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))
  (- (+ (* 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))
0.347 * * [simplify]: iteration 1: (119 enodes)
0.402 * * [simplify]: iteration 2: (286 enodes)
0.484 * * [simplify]: iteration 3: (855 enodes)
1.663 * * [simplify]: Extracting #0: cost 45 inf + 0
1.663 * * [simplify]: Extracting #1: cost 289 inf + 0
1.665 * * [simplify]: Extracting #2: cost 588 inf + 1851
1.673 * * [simplify]: Extracting #3: cost 344 inf + 47921
1.695 * * [simplify]: Extracting #4: cost 49 inf + 114318
1.742 * * [simplify]: Extracting #5: cost 3 inf + 127329
1.786 * * [simplify]: Extracting #6: cost 0 inf + 128687
1.823 * [simplify]: Simplified to:
  (expm1 (/ (/ (- 1 (cos x)) x) x))
  (log1p (/ (/ (- 1 (cos x)) x) x))
  (log (/ (/ (- 1 (cos x)) x) x))
  (log (/ (/ (- 1 (cos x)) x) x))
  (log (/ (/ (- 1 (cos x)) x) x))
  (exp (/ (/ (- 1 (cos x)) x) x))
  (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x)))
  (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x)))
  (* (cbrt (/ (/ (- 1 (cos x)) x) x)) (cbrt (/ (/ (- 1 (cos x)) x) x)))
  (cbrt (/ (/ (- 1 (cos x)) x) x))
  (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x)))
  (sqrt (/ (/ (- 1 (cos x)) x) x))
  (sqrt (/ (/ (- 1 (cos x)) x) x))
  (- (- 1 (cos x)))
  (* (- x) x)
  (/ 1 (* x x))
  (/ (cos x) (* x x))
  (* (/ (cbrt (- 1 (cos x))) x) (cbrt (- 1 (cos x))))
  (/ (cbrt (- 1 (cos x))) x)
  (/ (sqrt (- 1 (cos x))) x)
  (/ (sqrt (- 1 (cos x))) x)
  (/ 1 x)
  (/ (- 1 (cos x)) x)
  (/ (+ (sqrt (cos x)) 1) x)
  (/ (- 1 (sqrt (cos x))) x)
  (/ (+ (sqrt (cos x)) 1) x)
  (/ (- 1 (sqrt (cos x))) x)
  (/ 1 x)
  (/ (- 1 (cos x)) x)
  (/ 1 (* x x))
  (/ x (/ (- 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 (* x x) (fma (cos x) (cos x) (cos x)) (* x x))
  (fma (cos x) (* x 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))
  (exp (- 1 (cos x)))
  (log (- 1 (cos x)))
  (exp (- 1 (cos x)))
  (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x))))
  (cbrt (- 1 (cos x)))
  (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x)))
  (sqrt (- 1 (cos x)))
  (sqrt (- 1 (cos x)))
  (- 1 (* (cos x) (* (cos x) (cos x))))
  (+ (fma (cos x) (cos x) 1) (cos x))
  (- (cos x))
  (* (sin x) (sin x))
  (+ 1 (cos x))
  (+ (sqrt (cos x)) 1)
  (- 1 (sqrt (cos x)))
  (+ (sqrt (cos x)) 1)
  (- 1 (sqrt (cos x)))
  (- 1 (cos x))
  (- (cos x))
  (fma (* x x) -1/24 (fma (* x x) (* (* x x) 1/720) 1/2))
  (/ (/ (- 1 (cos x)) x) x)
  (/ (/ (- 1 (cos x)) x) x)
  (fma 1/720 (* (* x (* x x)) (* x (* x x))) (* (* x x) (+ 1/2 (* -1/24 (* x x)))))
  (- 1 (cos x))
  (- 1 (cos x))
1.826 * * * [progress]: adding candidates to table
2.281 * * [progress]: iteration 2 / 4
2.281 * * * [progress]: picking best candidate
2.314 * * * * [pick]: Picked  #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
2.314 * * * [progress]: localizing error
2.357 * * * [progress]: generating rewritten candidates
2.357 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
2.380 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
2.385 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
2.396 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
2.412 * * * [progress]: generating series expansions
2.412 * * * * [progress]: [ 1 / 4 ] generating series at (2)
2.413 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
2.413 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0
2.413 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x
2.413 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
2.413 * [taylor]: Taking taylor expansion of (sin x) in x
2.413 * [taylor]: Taking taylor expansion of x in x
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify 1 into 1
2.414 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.414 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x
2.414 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.414 * [taylor]: Taking taylor expansion of x in x
2.414 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify 1 into 1
2.414 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
2.414 * [taylor]: Taking taylor expansion of (cos x) in x
2.414 * [taylor]: Taking taylor expansion of x in x
2.414 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify 1 into 1
2.414 * [taylor]: Taking taylor expansion of 1 in x
2.414 * [backup-simplify]: Simplify 1 into 1
2.415 * [backup-simplify]: Simplify (* 1 1) into 1
2.415 * [backup-simplify]: Simplify (* 1 1) into 1
2.415 * [backup-simplify]: Simplify (+ 1 1) into 2
2.415 * [backup-simplify]: Simplify (* 1 2) into 2
2.416 * [backup-simplify]: Simplify (/ 1 2) into 1/2
2.416 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x
2.416 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
2.416 * [taylor]: Taking taylor expansion of (sin x) in x
2.416 * [taylor]: Taking taylor expansion of x in x
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 1 into 1
2.419 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.419 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x
2.419 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.419 * [taylor]: Taking taylor expansion of x in x
2.419 * [backup-simplify]: Simplify 0 into 0
2.419 * [backup-simplify]: Simplify 1 into 1
2.419 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
2.419 * [taylor]: Taking taylor expansion of (cos x) in x
2.419 * [taylor]: Taking taylor expansion of x in x
2.419 * [backup-simplify]: Simplify 0 into 0
2.419 * [backup-simplify]: Simplify 1 into 1
2.419 * [taylor]: Taking taylor expansion of 1 in x
2.419 * [backup-simplify]: Simplify 1 into 1
2.419 * [backup-simplify]: Simplify (* 1 1) into 1
2.420 * [backup-simplify]: Simplify (* 1 1) into 1
2.420 * [backup-simplify]: Simplify (+ 1 1) into 2
2.420 * [backup-simplify]: Simplify (* 1 2) into 2
2.420 * [backup-simplify]: Simplify (/ 1 2) into 1/2
2.421 * [backup-simplify]: Simplify 1/2 into 1/2
2.421 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.422 * [backup-simplify]: Simplify (+ 0) into 0
2.422 * [backup-simplify]: Simplify (+ 0 0) into 0
2.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0
2.423 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
2.424 * [backup-simplify]: Simplify 0 into 0
2.424 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
2.425 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
2.426 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
2.426 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
2.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.428 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2
2.429 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24
2.430 * [backup-simplify]: Simplify -1/24 into -1/24
2.431 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
2.435 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.436 * [backup-simplify]: Simplify (+ 0 0) into 0
2.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0
2.440 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0
2.440 * [backup-simplify]: Simplify 0 into 0
2.444 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
2.445 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
2.448 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
2.449 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24
2.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.452 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24
2.454 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720
2.454 * [backup-simplify]: Simplify 1/720 into 1/720
2.455 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))
2.455 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1))
2.455 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0
2.455 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x
2.455 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x
2.455 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
2.455 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.455 * [taylor]: Taking taylor expansion of x in x
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify 1 into 1
2.456 * [backup-simplify]: Simplify (/ 1 1) into 1
2.456 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.456 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.456 * [taylor]: Taking taylor expansion of x in x
2.456 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify 1 into 1
2.456 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
2.456 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.456 * [taylor]: Taking taylor expansion of x in x
2.456 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify 1 into 1
2.457 * [backup-simplify]: Simplify (/ 1 1) into 1
2.457 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.457 * [taylor]: Taking taylor expansion of 1 in x
2.457 * [backup-simplify]: Simplify 1 into 1
2.457 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
2.457 * [backup-simplify]: Simplify (* 1 1) into 1
2.458 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2)
2.458 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
2.458 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
2.458 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x
2.458 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x
2.458 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
2.458 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.458 * [taylor]: Taking taylor expansion of x in x
2.458 * [backup-simplify]: Simplify 0 into 0
2.458 * [backup-simplify]: Simplify 1 into 1
2.458 * [backup-simplify]: Simplify (/ 1 1) into 1
2.458 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.458 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.459 * [taylor]: Taking taylor expansion of x in x
2.459 * [backup-simplify]: Simplify 0 into 0
2.459 * [backup-simplify]: Simplify 1 into 1
2.459 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
2.459 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.459 * [taylor]: Taking taylor expansion of x in x
2.459 * [backup-simplify]: Simplify 0 into 0
2.459 * [backup-simplify]: Simplify 1 into 1
2.459 * [backup-simplify]: Simplify (/ 1 1) into 1
2.459 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.459 * [taylor]: Taking taylor expansion of 1 in x
2.459 * [backup-simplify]: Simplify 1 into 1
2.459 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
2.459 * [backup-simplify]: Simplify (* 1 1) into 1
2.459 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2)
2.459 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
2.460 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
2.460 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
2.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.460 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
2.461 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0
2.461 * [backup-simplify]: Simplify (+ 0 0) into 0
2.461 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
2.461 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.462 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
2.462 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.463 * [backup-simplify]: Simplify (+ 0 0) into 0
2.463 * [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
2.463 * [backup-simplify]: Simplify 0 into 0
2.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.464 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
2.465 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.465 * [backup-simplify]: Simplify (+ 0 0) into 0
2.466 * [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
2.466 * [backup-simplify]: Simplify 0 into 0
2.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.468 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
2.468 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.469 * [backup-simplify]: Simplify (+ 0 0) into 0
2.469 * [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
2.469 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.471 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
2.472 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.472 * [backup-simplify]: Simplify (+ 0 0) into 0
2.472 * [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
2.472 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.474 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
2.475 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.475 * [backup-simplify]: Simplify (+ 0 0) into 0
2.476 * [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
2.476 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
2.476 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1))
2.476 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0
2.476 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x
2.476 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x
2.476 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.476 * [taylor]: Taking taylor expansion of x in x
2.476 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify 1 into 1
2.476 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
2.476 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.477 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.477 * [taylor]: Taking taylor expansion of -1 in x
2.477 * [backup-simplify]: Simplify -1 into -1
2.477 * [taylor]: Taking taylor expansion of x in x
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 1 into 1
2.477 * [backup-simplify]: Simplify (/ -1 1) into -1
2.477 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.477 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
2.477 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.477 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.477 * [taylor]: Taking taylor expansion of -1 in x
2.477 * [backup-simplify]: Simplify -1 into -1
2.477 * [taylor]: Taking taylor expansion of x in x
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 1 into 1
2.477 * [backup-simplify]: Simplify (/ -1 1) into -1
2.477 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.477 * [taylor]: Taking taylor expansion of 1 in x
2.477 * [backup-simplify]: Simplify 1 into 1
2.478 * [backup-simplify]: Simplify (* 1 1) into 1
2.478 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
2.478 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2)
2.478 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
2.478 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
2.478 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x
2.478 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x
2.478 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.478 * [taylor]: Taking taylor expansion of x in x
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 1 into 1
2.478 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
2.478 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.478 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.478 * [taylor]: Taking taylor expansion of -1 in x
2.478 * [backup-simplify]: Simplify -1 into -1
2.478 * [taylor]: Taking taylor expansion of x in x
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 1 into 1
2.478 * [backup-simplify]: Simplify (/ -1 1) into -1
2.479 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.479 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
2.479 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.479 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.479 * [taylor]: Taking taylor expansion of -1 in x
2.479 * [backup-simplify]: Simplify -1 into -1
2.479 * [taylor]: Taking taylor expansion of x in x
2.479 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify 1 into 1
2.479 * [backup-simplify]: Simplify (/ -1 1) into -1
2.479 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.479 * [taylor]: Taking taylor expansion of 1 in x
2.479 * [backup-simplify]: Simplify 1 into 1
2.479 * [backup-simplify]: Simplify (* 1 1) into 1
2.479 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
2.479 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2)
2.479 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
2.480 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
2.480 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
2.480 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
2.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0
2.481 * [backup-simplify]: Simplify (+ 0 0) into 0
2.481 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
2.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0
2.483 * [backup-simplify]: Simplify (+ 0 0) into 0
2.483 * [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
2.483 * [backup-simplify]: Simplify 0 into 0
2.484 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
2.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0
2.485 * [backup-simplify]: Simplify (+ 0 0) into 0
2.486 * [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
2.486 * [backup-simplify]: Simplify 0 into 0
2.486 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
2.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0
2.488 * [backup-simplify]: Simplify (+ 0 0) into 0
2.489 * [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
2.489 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
2.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0
2.493 * [backup-simplify]: Simplify (+ 0 0) into 0
2.494 * [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
2.494 * [backup-simplify]: Simplify 0 into 0
2.496 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
2.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0
2.501 * [backup-simplify]: Simplify (+ 0 0) into 0
2.502 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 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
2.502 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
2.503 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
2.503 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1)
2.503 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0
2.503 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
2.503 * [taylor]: Taking taylor expansion of (cos x) in x
2.503 * [taylor]: Taking taylor expansion of x in x
2.503 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify 1 into 1
2.503 * [taylor]: Taking taylor expansion of 1 in x
2.503 * [backup-simplify]: Simplify 1 into 1
2.503 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
2.503 * [taylor]: Taking taylor expansion of (cos x) in x
2.503 * [taylor]: Taking taylor expansion of x in x
2.503 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify 1 into 1
2.503 * [taylor]: Taking taylor expansion of 1 in x
2.503 * [backup-simplify]: Simplify 1 into 1
2.504 * [backup-simplify]: Simplify (+ 1 1) into 2
2.504 * [backup-simplify]: Simplify 2 into 2
2.504 * [backup-simplify]: Simplify (+ 0) into 0
2.505 * [backup-simplify]: Simplify (+ 0 0) into 0
2.505 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
2.506 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
2.506 * [backup-simplify]: Simplify -1/2 into -1/2
2.507 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.508 * [backup-simplify]: Simplify (+ 0 0) into 0
2.508 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
2.512 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24
2.512 * [backup-simplify]: Simplify 1/24 into 1/24
2.512 * [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)))
2.512 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
2.512 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0
2.512 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
2.512 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.512 * [taylor]: Taking taylor expansion of x in x
2.512 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify 1 into 1
2.513 * [backup-simplify]: Simplify (/ 1 1) into 1
2.513 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.513 * [taylor]: Taking taylor expansion of 1 in x
2.513 * [backup-simplify]: Simplify 1 into 1
2.513 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
2.513 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.513 * [taylor]: Taking taylor expansion of x in x
2.513 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify 1 into 1
2.514 * [backup-simplify]: Simplify (/ 1 1) into 1
2.514 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.514 * [taylor]: Taking taylor expansion of 1 in x
2.514 * [backup-simplify]: Simplify 1 into 1
2.514 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
2.514 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
2.515 * [backup-simplify]: Simplify (+ 0 0) into 0
2.515 * [backup-simplify]: Simplify 0 into 0
2.515 * [backup-simplify]: Simplify (+ 0 0) into 0
2.515 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify (+ 0 0) into 0
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify (+ 0 0) into 0
2.516 * [backup-simplify]: Simplify 0 into 0
2.517 * [backup-simplify]: Simplify (+ 0 0) into 0
2.517 * [backup-simplify]: Simplify 0 into 0
2.517 * [backup-simplify]: Simplify (+ 0 0) into 0
2.517 * [backup-simplify]: Simplify 0 into 0
2.517 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1)
2.518 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1)
2.518 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0
2.518 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
2.518 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.518 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.518 * [taylor]: Taking taylor expansion of -1 in x
2.518 * [backup-simplify]: Simplify -1 into -1
2.518 * [taylor]: Taking taylor expansion of x in x
2.518 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify 1 into 1
2.518 * [backup-simplify]: Simplify (/ -1 1) into -1
2.518 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.518 * [taylor]: Taking taylor expansion of 1 in x
2.518 * [backup-simplify]: Simplify 1 into 1
2.518 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
2.519 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.519 * [taylor]: Taking taylor expansion of -1 in x
2.519 * [backup-simplify]: Simplify -1 into -1
2.519 * [taylor]: Taking taylor expansion of x in x
2.519 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify 1 into 1
2.519 * [backup-simplify]: Simplify (/ -1 1) into -1
2.519 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.519 * [taylor]: Taking taylor expansion of 1 in x
2.519 * [backup-simplify]: Simplify 1 into 1
2.520 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
2.520 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
2.520 * [backup-simplify]: Simplify (+ 0 0) into 0
2.520 * [backup-simplify]: Simplify 0 into 0
2.521 * [backup-simplify]: Simplify (+ 0 0) into 0
2.521 * [backup-simplify]: Simplify 0 into 0
2.521 * [backup-simplify]: Simplify (+ 0 0) into 0
2.521 * [backup-simplify]: Simplify 0 into 0
2.522 * [backup-simplify]: Simplify (+ 0 0) into 0
2.522 * [backup-simplify]: Simplify 0 into 0
2.522 * [backup-simplify]: Simplify (+ 0 0) into 0
2.522 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify (+ 0 0) into 0
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1)
2.523 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
2.523 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2)
2.523 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0
2.523 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
2.523 * [taylor]: Taking taylor expansion of (sin x) in x
2.523 * [taylor]: Taking taylor expansion of x in x
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify 1 into 1
2.524 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.524 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
2.524 * [taylor]: Taking taylor expansion of (sin x) in x
2.524 * [taylor]: Taking taylor expansion of x in x
2.524 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify 1 into 1
2.525 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.525 * [backup-simplify]: Simplify (* 1 1) into 1
2.526 * [backup-simplify]: Simplify 1 into 1
2.526 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.527 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
2.530 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
2.530 * [backup-simplify]: Simplify -1/3 into -1/3
2.532 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
2.533 * [backup-simplify]: Simplify 0 into 0
2.537 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
2.539 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
2.539 * [backup-simplify]: Simplify 2/45 into 2/45
2.540 * [backup-simplify]: Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (pow x 2)))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4)))
2.540 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
2.540 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0
2.540 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
2.540 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.540 * [taylor]: Taking taylor expansion of x in x
2.540 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify 1 into 1
2.541 * [backup-simplify]: Simplify (/ 1 1) into 1
2.541 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.541 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
2.541 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.541 * [taylor]: Taking taylor expansion of x in x
2.541 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify 1 into 1
2.541 * [backup-simplify]: Simplify (/ 1 1) into 1
2.542 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.542 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
2.542 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2)
2.542 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
2.542 * [backup-simplify]: Simplify 0 into 0
2.543 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
2.543 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
2.544 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
2.546 * [backup-simplify]: Simplify 0 into 0
2.548 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
2.548 * [backup-simplify]: Simplify 0 into 0
2.551 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
2.551 * [backup-simplify]: Simplify 0 into 0
2.551 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2)
2.551 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2)
2.551 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0
2.551 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
2.552 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.552 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.552 * [taylor]: Taking taylor expansion of -1 in x
2.552 * [backup-simplify]: Simplify -1 into -1
2.552 * [taylor]: Taking taylor expansion of x in x
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify 1 into 1
2.555 * [backup-simplify]: Simplify (/ -1 1) into -1
2.555 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.555 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
2.555 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.555 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.555 * [taylor]: Taking taylor expansion of -1 in x
2.555 * [backup-simplify]: Simplify -1 into -1
2.555 * [taylor]: Taking taylor expansion of x in x
2.555 * [backup-simplify]: Simplify 0 into 0
2.555 * [backup-simplify]: Simplify 1 into 1
2.556 * [backup-simplify]: Simplify (/ -1 1) into -1
2.556 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.556 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
2.557 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2)
2.557 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
2.557 * [backup-simplify]: Simplify 0 into 0
2.557 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
2.557 * [backup-simplify]: Simplify 0 into 0
2.558 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
2.558 * [backup-simplify]: Simplify 0 into 0
2.559 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
2.560 * [backup-simplify]: Simplify 0 into 0
2.561 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
2.561 * [backup-simplify]: Simplify 0 into 0
2.563 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
2.563 * [backup-simplify]: Simplify 0 into 0
2.563 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2)
2.563 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
2.563 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1))
2.563 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0
2.563 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x
2.563 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
2.563 * [taylor]: Taking taylor expansion of (sin x) in x
2.563 * [taylor]: Taking taylor expansion of x in x
2.563 * [backup-simplify]: Simplify 0 into 0
2.563 * [backup-simplify]: Simplify 1 into 1
2.564 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.564 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
2.564 * [taylor]: Taking taylor expansion of (cos x) in x
2.564 * [taylor]: Taking taylor expansion of x in x
2.564 * [backup-simplify]: Simplify 0 into 0
2.564 * [backup-simplify]: Simplify 1 into 1
2.564 * [taylor]: Taking taylor expansion of 1 in x
2.564 * [backup-simplify]: Simplify 1 into 1
2.564 * [backup-simplify]: Simplify (* 1 1) into 1
2.565 * [backup-simplify]: Simplify (+ 1 1) into 2
2.565 * [backup-simplify]: Simplify (/ 1 2) into 1/2
2.565 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x
2.565 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
2.565 * [taylor]: Taking taylor expansion of (sin x) in x
2.565 * [taylor]: Taking taylor expansion of x in x
2.565 * [backup-simplify]: Simplify 0 into 0
2.565 * [backup-simplify]: Simplify 1 into 1
2.566 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.566 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
2.566 * [taylor]: Taking taylor expansion of (cos x) in x
2.566 * [taylor]: Taking taylor expansion of x in x
2.566 * [backup-simplify]: Simplify 0 into 0
2.566 * [backup-simplify]: Simplify 1 into 1
2.566 * [taylor]: Taking taylor expansion of 1 in x
2.566 * [backup-simplify]: Simplify 1 into 1
2.566 * [backup-simplify]: Simplify (* 1 1) into 1
2.567 * [backup-simplify]: Simplify (+ 1 1) into 2
2.567 * [backup-simplify]: Simplify (/ 1 2) into 1/2
2.567 * [backup-simplify]: Simplify 1/2 into 1/2
2.568 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.569 * [backup-simplify]: Simplify (+ 0) into 0
2.569 * [backup-simplify]: Simplify (+ 0 0) into 0
2.570 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
2.570 * [backup-simplify]: Simplify 0 into 0
2.571 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
2.572 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
2.573 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
2.573 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
2.575 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24
2.575 * [backup-simplify]: Simplify -1/24 into -1/24
2.576 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
2.579 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.580 * [backup-simplify]: Simplify (+ 0 0) into 0
2.581 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0
2.581 * [backup-simplify]: Simplify 0 into 0
2.585 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
2.586 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
2.589 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
2.590 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24
2.592 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720
2.592 * [backup-simplify]: Simplify 1/720 into 1/720
2.593 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4)))
2.593 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
2.593 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0
2.593 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x
2.593 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
2.593 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.593 * [taylor]: Taking taylor expansion of x in x
2.593 * [backup-simplify]: Simplify 0 into 0
2.593 * [backup-simplify]: Simplify 1 into 1
2.594 * [backup-simplify]: Simplify (/ 1 1) into 1
2.594 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.594 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
2.594 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.594 * [taylor]: Taking taylor expansion of x in x
2.594 * [backup-simplify]: Simplify 0 into 0
2.594 * [backup-simplify]: Simplify 1 into 1
2.594 * [backup-simplify]: Simplify (/ 1 1) into 1
2.595 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.595 * [taylor]: Taking taylor expansion of 1 in x
2.595 * [backup-simplify]: Simplify 1 into 1
2.595 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
2.595 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
2.595 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
2.595 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x
2.595 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
2.595 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.595 * [taylor]: Taking taylor expansion of x in x
2.595 * [backup-simplify]: Simplify 0 into 0
2.595 * [backup-simplify]: Simplify 1 into 1
2.595 * [backup-simplify]: Simplify (/ 1 1) into 1
2.596 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.596 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
2.596 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.596 * [taylor]: Taking taylor expansion of x in x
2.596 * [backup-simplify]: Simplify 0 into 0
2.596 * [backup-simplify]: Simplify 1 into 1
2.596 * [backup-simplify]: Simplify (/ 1 1) into 1
2.596 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.596 * [taylor]: Taking taylor expansion of 1 in x
2.596 * [backup-simplify]: Simplify 1 into 1
2.596 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
2.596 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
2.596 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
2.597 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
2.597 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
2.597 * [backup-simplify]: Simplify (+ 0 0) into 0
2.598 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
2.598 * [backup-simplify]: Simplify 0 into 0
2.598 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
2.599 * [backup-simplify]: Simplify (+ 0 0) into 0
2.599 * [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
2.599 * [backup-simplify]: Simplify 0 into 0
2.600 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
2.601 * [backup-simplify]: Simplify (+ 0 0) into 0
2.601 * [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
2.601 * [backup-simplify]: Simplify 0 into 0
2.602 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
2.603 * [backup-simplify]: Simplify (+ 0 0) into 0
2.604 * [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
2.604 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
2.606 * [backup-simplify]: Simplify (+ 0 0) into 0
2.607 * [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
2.607 * [backup-simplify]: Simplify 0 into 0
2.609 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
2.610 * [backup-simplify]: Simplify (+ 0 0) into 0
2.610 * [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
2.611 * [backup-simplify]: Simplify 0 into 0
2.611 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1))
2.611 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
2.611 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0
2.611 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x
2.611 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
2.611 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.611 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.611 * [taylor]: Taking taylor expansion of -1 in x
2.611 * [backup-simplify]: Simplify -1 into -1
2.611 * [taylor]: Taking taylor expansion of x in x
2.611 * [backup-simplify]: Simplify 0 into 0
2.611 * [backup-simplify]: Simplify 1 into 1
2.612 * [backup-simplify]: Simplify (/ -1 1) into -1
2.612 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.612 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
2.612 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.612 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.612 * [taylor]: Taking taylor expansion of -1 in x
2.612 * [backup-simplify]: Simplify -1 into -1
2.612 * [taylor]: Taking taylor expansion of x in x
2.612 * [backup-simplify]: Simplify 0 into 0
2.612 * [backup-simplify]: Simplify 1 into 1
2.613 * [backup-simplify]: Simplify (/ -1 1) into -1
2.613 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.613 * [taylor]: Taking taylor expansion of 1 in x
2.613 * [backup-simplify]: Simplify 1 into 1
2.613 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
2.613 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
2.613 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
2.613 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x
2.613 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
2.614 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.614 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.614 * [taylor]: Taking taylor expansion of -1 in x
2.614 * [backup-simplify]: Simplify -1 into -1
2.614 * [taylor]: Taking taylor expansion of x in x
2.614 * [backup-simplify]: Simplify 0 into 0
2.614 * [backup-simplify]: Simplify 1 into 1
2.614 * [backup-simplify]: Simplify (/ -1 1) into -1
2.614 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.614 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
2.614 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.614 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.614 * [taylor]: Taking taylor expansion of -1 in x
2.614 * [backup-simplify]: Simplify -1 into -1
2.615 * [taylor]: Taking taylor expansion of x in x
2.615 * [backup-simplify]: Simplify 0 into 0
2.615 * [backup-simplify]: Simplify 1 into 1
2.615 * [backup-simplify]: Simplify (/ -1 1) into -1
2.615 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.615 * [taylor]: Taking taylor expansion of 1 in x
2.615 * [backup-simplify]: Simplify 1 into 1
2.615 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
2.615 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
2.616 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
2.616 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
2.616 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
2.617 * [backup-simplify]: Simplify (+ 0 0) into 0
2.618 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.618 * [backup-simplify]: Simplify 0 into 0
2.618 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
2.619 * [backup-simplify]: Simplify (+ 0 0) into 0
2.619 * [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
2.619 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
2.621 * [backup-simplify]: Simplify (+ 0 0) into 0
2.621 * [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
2.621 * [backup-simplify]: Simplify 0 into 0
2.622 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
2.623 * [backup-simplify]: Simplify (+ 0 0) into 0
2.623 * [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
2.623 * [backup-simplify]: Simplify 0 into 0
2.624 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
2.624 * [backup-simplify]: Simplify (+ 0 0) into 0
2.625 * [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
2.625 * [backup-simplify]: Simplify 0 into 0
2.626 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
2.626 * [backup-simplify]: Simplify (+ 0 0) into 0
2.627 * [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
2.627 * [backup-simplify]: Simplify 0 into 0
2.627 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1))
2.627 * * * [progress]: simplifying candidates
2.627 * * * * [progress]: [ 1 / 134 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.627 * * * * [progress]: [ 2 / 134 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.627 * * * * [progress]: [ 3 / 134 ] simplifiying candidate #<alt (λ (x) (pow (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) 1))>
2.627 * * * * [progress]: [ 4 / 134 ] simplifiying candidate #<alt (λ (x) (exp (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x)))))>
2.627 * * * * [progress]: [ 5 / 134 ] simplifiying candidate #<alt (λ (x) (exp (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x)))))>
2.627 * * * * [progress]: [ 6 / 134 ] simplifiying candidate #<alt (λ (x) (exp (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x)))))>
2.627 * * * * [progress]: [ 7 / 134 ] simplifiying candidate #<alt (λ (x) (exp (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x)))))>
2.627 * * * * [progress]: [ 8 / 134 ] simplifiying candidate #<alt (λ (x) (exp (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x)))))>
2.627 * * * * [progress]: [ 9 / 134 ] simplifiying candidate #<alt (λ (x) (exp (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x)))))>
2.627 * * * * [progress]: [ 10 / 134 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.627 * * * * [progress]: [ 11 / 134 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.627 * * * * [progress]: [ 12 / 134 ] 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)))))>
2.627 * * * * [progress]: [ 13 / 134 ] 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)))))>
2.627 * * * * [progress]: [ 14 / 134 ] 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)))))>
2.627 * * * * [progress]: [ 15 / 134 ] 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)))))>
2.627 * * * * [progress]: [ 16 / 134 ] 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)))))>
2.627 * * * * [progress]: [ 17 / 134 ] 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)))))>
2.628 * * * * [progress]: [ 18 / 134 ] 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)))))>
2.628 * * * * [progress]: [ 19 / 134 ] 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)))))>
2.628 * * * * [progress]: [ 20 / 134 ] 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)))))>
2.628 * * * * [progress]: [ 21 / 134 ] simplifiying candidate #<alt (λ (x) (/ (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x))))>
2.628 * * * * [progress]: [ 22 / 134 ] simplifiying candidate #<alt (λ (x) (- (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x))))>
2.628 * * * * [progress]: [ 23 / 134 ] 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)))>
2.628 * * * * [progress]: [ 24 / 134 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)))>
2.628 * * * * [progress]: [ 25 / 134 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x) (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x)))>
2.628 * * * * [progress]: [ 26 / 134 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
2.628 * * * * [progress]: [ 27 / 134 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x)))>
2.628 * * * * [progress]: [ 28 / 134 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x)))>
2.628 * * * * [progress]: [ 29 / 134 ] simplifiying candidate #<alt (λ (x) (* (/ 1 x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x)))>
2.628 * * * * [progress]: [ 30 / 134 ] simplifiying candidate #<alt (λ (x) (* (/ (* (sin x) (sin x)) x) (/ (/ 1 (+ 1 (cos x))) x)))>
2.628 * * * * [progress]: [ 31 / 134 ] 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)))>
2.628 * * * * [progress]: [ 32 / 134 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x) (/ (- 1 (cos x)) x)))>
2.628 * * * * [progress]: [ 33 / 134 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))))>
2.628 * * * * [progress]: [ 34 / 134 ] simplifiying candidate #<alt (λ (x) (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ 1 (* x x))))>
2.628 * * * * [progress]: [ 35 / 134 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))))>
2.628 * * * * [progress]: [ 36 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) x))>
2.628 * * * * [progress]: [ 37 / 134 ] 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)))))))>
2.628 * * * * [progress]: [ 38 / 134 ] simplifiying candidate #<alt (λ (x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))))>
2.628 * * * * [progress]: [ 39 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x)))))))>
2.628 * * * * [progress]: [ 40 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x)))))))>
2.628 * * * * [progress]: [ 41 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (/ (* x x) (/ (sin x) (+ 1 (cos x))))))>
2.628 * * * * [progress]: [ 42 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (/ (* x x) (/ (sin x) (+ 1 (cos x))))))>
2.628 * * * * [progress]: [ 43 / 134 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))))>
2.628 * * * * [progress]: [ 44 / 134 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin x)) (/ (* x x) (/ 1 (+ 1 (cos x))))))>
2.628 * * * * [progress]: [ 45 / 134 ] 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)))))))>
2.629 * * * * [progress]: [ 46 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (/ (* x x) (- 1 (cos x)))))>
2.629 * * * * [progress]: [ 47 / 134 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin x)) (* (* x x) (+ 1 (cos x)))))>
2.629 * * * * [progress]: [ 48 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (log1p (expm1 (+ 1 (cos x))))) (* x x)))>
2.629 * * * * [progress]: [ 49 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (expm1 (log1p (+ 1 (cos x))))) (* x x)))>
2.629 * * * * [progress]: [ 50 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (cos x))) (* x x)))>
2.629 * * * * [progress]: [ 51 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (fma (sqrt 1) (sqrt 1) (cos x))) (* x x)))>
2.629 * * * * [progress]: [ 52 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (fma 1 1 (cos x))) (* x x)))>
2.629 * * * * [progress]: [ 53 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (log (* (exp 1) (exp (cos x))))) (* x x)))>
2.629 * * * * [progress]: [ 54 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (pow (+ 1 (cos x)) 1)) (* x x)))>
2.629 * * * * [progress]: [ 55 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (exp (log (+ 1 (cos x))))) (* x x)))>
2.629 * * * * [progress]: [ 56 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (log (exp (+ 1 (cos x))))) (* x x)))>
2.629 * * * * [progress]: [ 57 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (* (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x))))) (* x x)))>
2.629 * * * * [progress]: [ 58 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (cbrt (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
2.629 * * * * [progress]: [ 59 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (* (sqrt (+ 1 (cos x))) (sqrt (+ 1 (cos x))))) (* x x)))>
2.629 * * * * [progress]: [ 60 / 134 ] 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)))>
2.629 * * * * [progress]: [ 61 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (* 1 (+ 1 (cos x)))) (* x x)))>
2.629 * * * * [progress]: [ 62 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (/ (- (* 1 1) (* (cos x) (cos x))) (- 1 (cos x)))) (* x x)))>
2.629 * * * * [progress]: [ 63 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (* 1 (+ 1 (cos x)))) (* x x)))>
2.629 * * * * [progress]: [ 64 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
2.629 * * * * [progress]: [ 65 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (log1p (expm1 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.629 * * * * [progress]: [ 66 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (expm1 (log1p (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.629 * * * * [progress]: [ 67 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x))) (* x x)))>
2.629 * * * * [progress]: [ 68 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (- (cos (- x x)) (cos (+ x x))) 2) (+ 1 (cos x))) (* x x)))>
2.629 * * * * [progress]: [ 69 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) (+ 1 1)) (+ 1 (cos x))) (* x x)))>
2.629 * * * * [progress]: [ 70 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
2.629 * * * * [progress]: [ 71 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
2.629 * * * * [progress]: [ 72 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) (+ 1 1)) (+ 1 (cos x))) (* x x)))>
2.629 * * * * [progress]: [ 73 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 74 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (exp (+ (log (sin x)) (log (sin x)))) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 75 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (exp (log (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 76 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (log (exp (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 77 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (cbrt (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 78 / 134 ] 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)))>
2.630 * * * * [progress]: [ 79 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (cbrt (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 80 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sqrt (* (sin x) (sin x))) (sqrt (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 81 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* 1 (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 82 / 134 ] 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)))>
2.630 * * * * [progress]: [ 83 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sqrt (sin x)) (sqrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x)))) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 84 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* 1 1) (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 85 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sqrt (sin x)) (sqrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x)))) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 86 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) (* 2 1)) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 87 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (sin x))) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 88 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sin x) (sqrt (sin x))) (sqrt (sin x))) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 89 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sin x) 1) (sin x)) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 90 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (sin x))) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 91 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sqrt (sin x)) (* (sqrt (sin x)) (sin x))) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 92 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* 1 (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 93 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
2.630 * * * * [progress]: [ 94 / 134 ] simplifiying candidate #<alt (λ (x) (/ (log1p (expm1 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.630 * * * * [progress]: [ 95 / 134 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.630 * * * * [progress]: [ 96 / 134 ] simplifiying candidate #<alt (λ (x) (/ (pow (/ (* (sin x) (sin x)) (+ 1 (cos x))) 1) (* x x)))>
2.630 * * * * [progress]: [ 97 / 134 ] simplifiying candidate #<alt (λ (x) (/ (exp (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))) (* x x)))>
2.630 * * * * [progress]: [ 98 / 134 ] simplifiying candidate #<alt (λ (x) (/ (exp (- (log (* (sin x) (sin x))) (log (+ 1 (cos x))))) (* x x)))>
2.630 * * * * [progress]: [ 99 / 134 ] simplifiying candidate #<alt (λ (x) (/ (exp (log (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.630 * * * * [progress]: [ 100 / 134 ] simplifiying candidate #<alt (λ (x) (/ (log (exp (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.630 * * * * [progress]: [ 101 / 134 ] 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)))>
2.631 * * * * [progress]: [ 102 / 134 ] 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)))>
2.631 * * * * [progress]: [ 103 / 134 ] 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)))>
2.631 * * * * [progress]: [ 104 / 134 ] 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)))>
2.631 * * * * [progress]: [ 105 / 134 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.631 * * * * [progress]: [ 106 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (* (sin x) (sin x))) (- (+ 1 (cos x)))) (* x x)))>
2.631 * * * * [progress]: [ 107 / 134 ] simplifiying candidate #<alt (λ (x) (/ (- (/ 1/2 (+ 1 (cos x))) (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x)))) (* x x)))>
2.631 * * * * [progress]: [ 108 / 134 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (sin x) (cbrt (+ 1 (cos x))))) (* x x)))>
2.631 * * * * [progress]: [ 109 / 134 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x))))) (* x x)))>
2.631 * * * * [progress]: [ 110 / 134 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) 1) (/ (sin x) (+ 1 (cos x)))) (* x x)))>
2.631 * * * * [progress]: [ 111 / 134 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) 1) (/ (sin x) (+ 1 (cos x)))) (* x x)))>
2.631 * * * * [progress]: [ 112 / 134 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* x x)))>
2.631 * * * * [progress]: [ 113 / 134 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (sin x)) (/ 1 (+ 1 (cos x)))) (* x x)))>
2.631 * * * * [progress]: [ 114 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (/ (+ 1 (cos x)) (* (sin x) (sin x)))) (* x x)))>
2.631 * * * * [progress]: [ 115 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (cbrt (+ 1 (cos x)))) (* x x)))>
2.631 * * * * [progress]: [ 116 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (sqrt (+ 1 (cos x)))) (* x x)))>
2.631 * * * * [progress]: [ 117 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
2.631 * * * * [progress]: [ 118 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
2.631 * * * * [progress]: [ 119 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (* x x)))>
2.631 * * * * [progress]: [ 120 / 134 ] 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)))>
2.631 * * * * [progress]: [ 121 / 134 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (- 1 (cos x))) (* x x)))>
2.631 * * * * [progress]: [ 122 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (cos (- x x)) (cos (+ x x))) (* (+ 1 (cos x)) 2)) (* x x)))>
2.631 * * * * [progress]: [ 123 / 134 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
2.631 * * * * [progress]: [ 124 / 134 ] simplifiying candidate #<alt (λ (x) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))))>
2.631 * * * * [progress]: [ 125 / 134 ] simplifiying candidate #<alt (λ (x) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))))>
2.631 * * * * [progress]: [ 126 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2)))) (* x x)))>
2.631 * * * * [progress]: [ 127 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
2.631 * * * * [progress]: [ 128 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
2.631 * * * * [progress]: [ 129 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (+ 1 (cos x))) (* x x)))>
2.631 * * * * [progress]: [ 130 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
2.632 * * * * [progress]: [ 131 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
2.632 * * * * [progress]: [ 132 / 134 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)))>
2.632 * * * * [progress]: [ 133 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)))>
2.632 * * * * [progress]: [ 134 / 134 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)))>
2.633 * [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)))
  (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))
  (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))
  (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)
  (- (+ (* 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))
2.634 * * [simplify]: iteration 1: (186 enodes)
2.692 * * [simplify]: iteration 2: (508 enodes)
3.024 * * [simplify]: iteration 3: (1849 enodes)
9.977 * * [simplify]: Extracting #0: cost 97 inf + 0
9.980 * * [simplify]: Extracting #1: cost 1247 inf + 2
9.990 * * [simplify]: Extracting #2: cost 2505 inf + 10847
10.045 * * [simplify]: Extracting #3: cost 1187 inf + 361129
10.199 * * [simplify]: Extracting #4: cost 93 inf + 703797
10.377 * * [simplify]: Extracting #5: cost 1 inf + 725411
10.515 * * [simplify]: Extracting #6: cost 0 inf + 725315
10.659 * [simplify]: Simplified to:
  (expm1 (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))))
  (log1p (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))))
  (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))))
  (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))))
  (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))))
  (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))))
  (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))))
  (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))))
  (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))))
  (exp (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))))
  (* (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin 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))) (/ (* (/ (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))) (/ (* (/ (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))))
  (- (* (tan (/ x 2)) (sin x)))
  (- (* x x))
  (/ 1/2 (* x (fma (cos x) x x)))
  (* (/ 1/2 (* x (fma (cos x) x x))) (cos (+ x x)))
  (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x))))
  (/ (cbrt (* (tan (/ x 2)) (sin x))) x)
  (/ (sqrt (* (tan (/ x 2)) (sin x))) x)
  (/ (sqrt (* (tan (/ x 2)) (sin 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) (/ (fma (cos x) x x) (sin x)))
  (/ (sin x) (/ x (sin x)))
  (/ 1 (fma (cos x) x x))
  (- (/ 1 (fma x (* (* (cos x) (cos x)) (cos x)) x)) (/ (* (cos x) (cos x)) (fma x (* (* (cos x) (cos x)) (cos x)) x)))
  (/ (- (fma (cos x) (cos x) 1) (cos x)) x)
  (/ 1 x)
  (/ (- 1 (cos x)) x)
  (/ 1 (* x x))
  (fma (* (/ x (sin x)) (/ x (sin x))) (cos x) (* (/ x (sin x)) (/ x (sin x))))
  (/ (sin x) (/ (fma (cos x) x x) (sin x)))
  (/ (* x x) (cbrt (* (tan (/ x 2)) (sin x))))
  (/ (* x x) (sqrt (* (tan (/ x 2)) (sin x))))
  (* (cbrt (+ 1 (cos x))) (/ x (/ (sin x) x)))
  (* (sqrt (+ 1 (cos x))) (/ x (/ (sin x) x)))
  (/ (* x x) (tan (/ x 2)))
  (/ (* x x) (tan (/ x 2)))
  (fma (* (/ x (sin x)) (/ x (sin x))) (cos x) (* (/ x (sin x)) (/ x (sin x))))
  (fma (* x x) (cos x) (* x x))
  (/ (* x x) (- (fma (cos x) (cos x) 1) (cos x)))
  (* (/ x (- 1 (cos x))) x)
  (fma (* x x) (cos x) (* x x))
  (expm1 (+ 1 (cos x)))
  (log1p (+ 1 (cos x)))
  (* (exp (cos x)) E)
  (log1p (cos x))
  (* (exp (cos x)) E)
  (* (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) (cos x))
  (* (sin x) (sin x))
  (- 1 (cos x))
  (+ 1 (cos x))
  (expm1 (* (sin x) (sin x)))
  (log1p (* (sin x) (sin x)))
  (* 1/2 (cos (+ x x)))
  (- 1 (cos (+ x x)))
  2
  (* (sin x) (sin x))
  2
  (log (* (sin x) (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))))
  (fabs (sin x))
  (fabs (sin x))
  (* (sin x) (cbrt (sin x)))
  (* (cbrt (sin x)) (cbrt (sin x)))
  (sin x)
  (sin x)
  1
  (* (sin x) (sin x))
  (sin x)
  (sin x)
  2
  (* (* (sin x) (cbrt (sin x))) (cbrt (sin x)))
  (* (sin x) (sqrt (sin x)))
  (sin x)
  (* (sin x) (cbrt (sin x)))
  (* (sin x) (sqrt (sin x)))
  (* (sin x) (sin x))
  (expm1 (* (tan (/ x 2)) (sin x)))
  (log1p (* (tan (/ x 2)) (sin x)))
  (log (* (tan (/ x 2)) (sin x)))
  (log (* (tan (/ x 2)) (sin x)))
  (log (* (tan (/ x 2)) (sin x)))
  (exp (* (tan (/ x 2)) (sin x)))
  (* (* (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x))) (* (tan (/ x 2)) (sin x)))
  (* (* (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x))) (* (tan (/ x 2)) (sin x)))
  (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x))))
  (cbrt (* (tan (/ x 2)) (sin x)))
  (* (* (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x))) (* (tan (/ x 2)) (sin x)))
  (sqrt (* (tan (/ x 2)) (sin x)))
  (sqrt (* (tan (/ x 2)) (sin x)))
  (- (* (sin x) (sin x)))
  (- -1 (cos x))
  (/ 1/2 (+ 1 (cos x)))
  (* (cos (+ x x)) (/ 1/2 (+ 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)
  (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))
  (- (/ 1 (fma (cos x) (* (cos x) (cos x)) 1)) (/ (* (cos x) (cos x)) (fma (cos x) (* (cos x) (cos x)) 1)))
  1
  (fma 2 (cos x) 2)
  (fma (* x x) -1/24 (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)))
  (fma (* x x) -1/2 (fma (* (* x x) (* x x)) 1/24 2))
  (+ 1 (cos x))
  (+ 1 (cos x))
  (fma -1/3 (* (* x x) (* x x)) (fma (* (* (* 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)) (* -1/24 (* (* x x) (* x x)))))
  (* (tan (/ x 2)) (sin x))
  (* (tan (/ x 2)) (sin x))
10.666 * * * [progress]: adding candidates to table
11.709 * * [progress]: iteration 3 / 4
11.709 * * * [progress]: picking best candidate
11.731 * * * * [pick]: Picked  #<alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))>
11.731 * * * [progress]: localizing error
11.762 * * * [progress]: generating rewritten candidates
11.762 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
11.768 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
11.775 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
11.798 * * * [progress]: generating series expansions
11.798 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
11.798 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x)
11.798 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0
11.798 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x
11.798 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
11.800 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
11.800 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
11.800 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
11.800 * [taylor]: Taking taylor expansion of 1/2 in x
11.800 * [backup-simplify]: Simplify 1/2 into 1/2
11.800 * [taylor]: Taking taylor expansion of x in x
11.800 * [backup-simplify]: Simplify 0 into 0
11.800 * [backup-simplify]: Simplify 1 into 1
11.801 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.802 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.802 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
11.802 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
11.802 * [taylor]: Taking taylor expansion of 1/2 in x
11.802 * [backup-simplify]: Simplify 1/2 into 1/2
11.802 * [taylor]: Taking taylor expansion of x in x
11.802 * [backup-simplify]: Simplify 0 into 0
11.802 * [backup-simplify]: Simplify 1 into 1
11.803 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.803 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.804 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
11.804 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.805 * [taylor]: Taking taylor expansion of x in x
11.805 * [backup-simplify]: Simplify 0 into 0
11.805 * [backup-simplify]: Simplify 1 into 1
11.805 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.805 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x
11.805 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
11.805 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
11.805 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
11.805 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
11.805 * [taylor]: Taking taylor expansion of 1/2 in x
11.805 * [backup-simplify]: Simplify 1/2 into 1/2
11.805 * [taylor]: Taking taylor expansion of x in x
11.805 * [backup-simplify]: Simplify 0 into 0
11.805 * [backup-simplify]: Simplify 1 into 1
11.806 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.806 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.806 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
11.807 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
11.807 * [taylor]: Taking taylor expansion of 1/2 in x
11.807 * [backup-simplify]: Simplify 1/2 into 1/2
11.807 * [taylor]: Taking taylor expansion of x in x
11.807 * [backup-simplify]: Simplify 0 into 0
11.807 * [backup-simplify]: Simplify 1 into 1
11.807 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.808 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.809 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
11.809 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.809 * [taylor]: Taking taylor expansion of x in x
11.809 * [backup-simplify]: Simplify 0 into 0
11.809 * [backup-simplify]: Simplify 1 into 1
11.810 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.810 * [backup-simplify]: Simplify 1/2 into 1/2
11.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.811 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.812 * [backup-simplify]: Simplify (+ 0) into 0
11.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.814 * [backup-simplify]: Simplify 0 into 0
11.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.816 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
11.817 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
11.819 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
11.820 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24
11.820 * [backup-simplify]: Simplify 1/24 into 1/24
11.822 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
11.823 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
11.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.826 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
11.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0
11.828 * [backup-simplify]: Simplify 0 into 0
11.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
11.834 * [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
11.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.838 * [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
11.841 * [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
11.842 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240
11.842 * [backup-simplify]: Simplify 1/240 into 1/240
11.843 * [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))
11.843 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x)
11.843 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0
11.843 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x
11.843 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
11.843 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
11.843 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
11.843 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
11.843 * [taylor]: Taking taylor expansion of 1/2 in x
11.843 * [backup-simplify]: Simplify 1/2 into 1/2
11.843 * [taylor]: Taking taylor expansion of x in x
11.843 * [backup-simplify]: Simplify 0 into 0
11.843 * [backup-simplify]: Simplify 1 into 1
11.844 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.844 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
11.844 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
11.844 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
11.844 * [taylor]: Taking taylor expansion of 1/2 in x
11.844 * [backup-simplify]: Simplify 1/2 into 1/2
11.844 * [taylor]: Taking taylor expansion of x in x
11.844 * [backup-simplify]: Simplify 0 into 0
11.844 * [backup-simplify]: Simplify 1 into 1
11.845 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.845 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
11.845 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
11.845 * [taylor]: Taking taylor expansion of x in x
11.845 * [backup-simplify]: Simplify 0 into 0
11.845 * [backup-simplify]: Simplify 1 into 1
11.845 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x
11.845 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
11.845 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
11.845 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
11.845 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
11.845 * [taylor]: Taking taylor expansion of 1/2 in x
11.845 * [backup-simplify]: Simplify 1/2 into 1/2
11.845 * [taylor]: Taking taylor expansion of x in x
11.845 * [backup-simplify]: Simplify 0 into 0
11.845 * [backup-simplify]: Simplify 1 into 1
11.846 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.846 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
11.846 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
11.846 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
11.846 * [taylor]: Taking taylor expansion of 1/2 in x
11.846 * [backup-simplify]: Simplify 1/2 into 1/2
11.846 * [taylor]: Taking taylor expansion of x in x
11.846 * [backup-simplify]: Simplify 0 into 0
11.846 * [backup-simplify]: Simplify 1 into 1
11.846 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.847 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
11.847 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
11.847 * [taylor]: Taking taylor expansion of x in x
11.847 * [backup-simplify]: Simplify 0 into 0
11.847 * [backup-simplify]: Simplify 1 into 1
11.847 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0
11.847 * [backup-simplify]: Simplify 0 into 0
11.847 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
11.848 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
11.848 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
11.849 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
11.850 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0
11.850 * [backup-simplify]: Simplify 0 into 0
11.850 * [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
11.851 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.851 * [backup-simplify]: Simplify 0 into 0
11.852 * [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
11.853 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
11.853 * [backup-simplify]: Simplify 0 into 0
11.853 * [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
11.854 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
11.854 * [backup-simplify]: Simplify 0 into 0
11.855 * [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
11.856 * [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
11.856 * [backup-simplify]: Simplify 0 into 0
11.857 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
11.859 * [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
11.859 * [backup-simplify]: Simplify 0 into 0
11.859 * [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))
11.859 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x))))
11.859 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0
11.859 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x
11.859 * [taylor]: Taking taylor expansion of -1 in x
11.859 * [backup-simplify]: Simplify -1 into -1
11.859 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x
11.859 * [taylor]: Taking taylor expansion of x in x
11.859 * [backup-simplify]: Simplify 0 into 0
11.859 * [backup-simplify]: Simplify 1 into 1
11.859 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
11.859 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
11.859 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
11.860 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
11.860 * [taylor]: Taking taylor expansion of -1/2 in x
11.860 * [backup-simplify]: Simplify -1/2 into -1/2
11.860 * [taylor]: Taking taylor expansion of x in x
11.860 * [backup-simplify]: Simplify 0 into 0
11.860 * [backup-simplify]: Simplify 1 into 1
11.860 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.860 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
11.860 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
11.860 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
11.860 * [taylor]: Taking taylor expansion of -1/2 in x
11.860 * [backup-simplify]: Simplify -1/2 into -1/2
11.860 * [taylor]: Taking taylor expansion of x in x
11.860 * [backup-simplify]: Simplify 0 into 0
11.860 * [backup-simplify]: Simplify 1 into 1
11.861 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.861 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
11.861 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
11.861 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x
11.861 * [taylor]: Taking taylor expansion of -1 in x
11.861 * [backup-simplify]: Simplify -1 into -1
11.861 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x
11.861 * [taylor]: Taking taylor expansion of x in x
11.861 * [backup-simplify]: Simplify 0 into 0
11.861 * [backup-simplify]: Simplify 1 into 1
11.861 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
11.861 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
11.861 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
11.861 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
11.861 * [taylor]: Taking taylor expansion of -1/2 in x
11.861 * [backup-simplify]: Simplify -1/2 into -1/2
11.861 * [taylor]: Taking taylor expansion of x in x
11.861 * [backup-simplify]: Simplify 0 into 0
11.862 * [backup-simplify]: Simplify 1 into 1
11.862 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.862 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
11.862 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
11.862 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
11.862 * [taylor]: Taking taylor expansion of -1/2 in x
11.862 * [backup-simplify]: Simplify -1/2 into -1/2
11.862 * [taylor]: Taking taylor expansion of x in x
11.862 * [backup-simplify]: Simplify 0 into 0
11.862 * [backup-simplify]: Simplify 1 into 1
11.863 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.863 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
11.863 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
11.863 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0
11.863 * [backup-simplify]: Simplify (* -1 0) into 0
11.863 * [backup-simplify]: Simplify 0 into 0
11.863 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
11.864 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
11.864 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))
11.864 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))
11.864 * [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
11.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0
11.870 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0
11.870 * [backup-simplify]: Simplify 0 into 0
11.870 * [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
11.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
11.872 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0
11.872 * [backup-simplify]: Simplify 0 into 0
11.872 * [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
11.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0
11.874 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0
11.874 * [backup-simplify]: Simplify 0 into 0
11.875 * [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
11.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0
11.877 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0
11.877 * [backup-simplify]: Simplify 0 into 0
11.877 * [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
11.879 * [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
11.880 * [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
11.880 * [backup-simplify]: Simplify 0 into 0
11.881 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 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
11.882 * [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
11.884 * [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
11.884 * [backup-simplify]: Simplify 0 into 0
11.884 * [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))
11.884 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
11.884 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x)
11.884 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0
11.884 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x
11.884 * [taylor]: Taking taylor expansion of (sin x) in x
11.885 * [taylor]: Taking taylor expansion of x in x
11.885 * [backup-simplify]: Simplify 0 into 0
11.885 * [backup-simplify]: Simplify 1 into 1
11.885 * [taylor]: Taking taylor expansion of x in x
11.885 * [backup-simplify]: Simplify 0 into 0
11.885 * [backup-simplify]: Simplify 1 into 1
11.885 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.885 * [backup-simplify]: Simplify (/ 1 1) into 1
11.885 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x
11.885 * [taylor]: Taking taylor expansion of (sin x) in x
11.885 * [taylor]: Taking taylor expansion of x in x
11.885 * [backup-simplify]: Simplify 0 into 0
11.885 * [backup-simplify]: Simplify 1 into 1
11.885 * [taylor]: Taking taylor expansion of x in x
11.885 * [backup-simplify]: Simplify 0 into 0
11.885 * [backup-simplify]: Simplify 1 into 1
11.886 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.886 * [backup-simplify]: Simplify (/ 1 1) into 1
11.886 * [backup-simplify]: Simplify 1 into 1
11.887 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
11.887 * [backup-simplify]: Simplify 0 into 0
11.888 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.889 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6
11.889 * [backup-simplify]: Simplify -1/6 into -1/6
11.890 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
11.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0
11.890 * [backup-simplify]: Simplify 0 into 0
11.894 * [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
11.895 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120
11.895 * [backup-simplify]: Simplify 1/120 into 1/120
11.896 * [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)))
11.896 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x)))
11.896 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0
11.896 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x
11.896 * [taylor]: Taking taylor expansion of x in x
11.896 * [backup-simplify]: Simplify 0 into 0
11.896 * [backup-simplify]: Simplify 1 into 1
11.896 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
11.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.896 * [taylor]: Taking taylor expansion of x in x
11.896 * [backup-simplify]: Simplify 0 into 0
11.896 * [backup-simplify]: Simplify 1 into 1
11.896 * [backup-simplify]: Simplify (/ 1 1) into 1
11.896 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
11.897 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x
11.897 * [taylor]: Taking taylor expansion of x in x
11.897 * [backup-simplify]: Simplify 0 into 0
11.897 * [backup-simplify]: Simplify 1 into 1
11.897 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
11.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.897 * [taylor]: Taking taylor expansion of x in x
11.897 * [backup-simplify]: Simplify 0 into 0
11.897 * [backup-simplify]: Simplify 1 into 1
11.897 * [backup-simplify]: Simplify (/ 1 1) into 1
11.897 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
11.897 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0
11.897 * [backup-simplify]: Simplify 0 into 0
11.898 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x))
11.898 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
11.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0
11.899 * [backup-simplify]: Simplify 0 into 0
11.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
11.900 * [backup-simplify]: Simplify 0 into 0
11.902 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
11.902 * [backup-simplify]: Simplify 0 into 0
11.904 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
11.904 * [backup-simplify]: Simplify 0 into 0
11.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
11.906 * [backup-simplify]: Simplify 0 into 0
11.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0
11.909 * [backup-simplify]: Simplify 0 into 0
11.909 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x)
11.910 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x))))
11.910 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0
11.910 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x
11.910 * [taylor]: Taking taylor expansion of -1 in x
11.910 * [backup-simplify]: Simplify -1 into -1
11.910 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x
11.910 * [taylor]: Taking taylor expansion of x in x
11.910 * [backup-simplify]: Simplify 0 into 0
11.910 * [backup-simplify]: Simplify 1 into 1
11.910 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
11.910 * [taylor]: Taking taylor expansion of (/ -1 x) in x
11.910 * [taylor]: Taking taylor expansion of -1 in x
11.910 * [backup-simplify]: Simplify -1 into -1
11.910 * [taylor]: Taking taylor expansion of x in x
11.910 * [backup-simplify]: Simplify 0 into 0
11.910 * [backup-simplify]: Simplify 1 into 1
11.910 * [backup-simplify]: Simplify (/ -1 1) into -1
11.910 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
11.910 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x
11.911 * [taylor]: Taking taylor expansion of -1 in x
11.911 * [backup-simplify]: Simplify -1 into -1
11.911 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x
11.911 * [taylor]: Taking taylor expansion of x in x
11.911 * [backup-simplify]: Simplify 0 into 0
11.911 * [backup-simplify]: Simplify 1 into 1
11.911 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
11.911 * [taylor]: Taking taylor expansion of (/ -1 x) in x
11.911 * [taylor]: Taking taylor expansion of -1 in x
11.911 * [backup-simplify]: Simplify -1 into -1
11.911 * [taylor]: Taking taylor expansion of x in x
11.911 * [backup-simplify]: Simplify 0 into 0
11.911 * [backup-simplify]: Simplify 1 into 1
11.911 * [backup-simplify]: Simplify (/ -1 1) into -1
11.911 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
11.911 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0
11.912 * [backup-simplify]: Simplify (* -1 0) into 0
11.912 * [backup-simplify]: Simplify 0 into 0
11.912 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x))
11.913 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x)))
11.913 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
11.914 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0
11.915 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0
11.915 * [backup-simplify]: Simplify 0 into 0
11.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
11.917 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0
11.917 * [backup-simplify]: Simplify 0 into 0
11.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
11.920 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0
11.920 * [backup-simplify]: Simplify 0 into 0
11.922 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
11.923 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0
11.924 * [backup-simplify]: Simplify 0 into 0
11.926 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
11.928 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0
11.928 * [backup-simplify]: Simplify 0 into 0
11.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0
11.933 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0
11.933 * [backup-simplify]: Simplify 0 into 0
11.933 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x)
11.933 * * * * [progress]: [ 3 / 3 ] generating series at (2)
11.933 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2))
11.933 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0
11.933 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x
11.933 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
11.933 * [taylor]: Taking taylor expansion of (sin x) in x
11.933 * [taylor]: Taking taylor expansion of x in x
11.933 * [backup-simplify]: Simplify 0 into 0
11.933 * [backup-simplify]: Simplify 1 into 1
11.933 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
11.934 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
11.934 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
11.934 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
11.934 * [taylor]: Taking taylor expansion of 1/2 in x
11.934 * [backup-simplify]: Simplify 1/2 into 1/2
11.934 * [taylor]: Taking taylor expansion of x in x
11.934 * [backup-simplify]: Simplify 0 into 0
11.934 * [backup-simplify]: Simplify 1 into 1
11.935 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.935 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.935 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
11.935 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
11.935 * [taylor]: Taking taylor expansion of 1/2 in x
11.935 * [backup-simplify]: Simplify 1/2 into 1/2
11.935 * [taylor]: Taking taylor expansion of x in x
11.935 * [backup-simplify]: Simplify 0 into 0
11.935 * [backup-simplify]: Simplify 1 into 1
11.936 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.937 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
11.938 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.938 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.938 * [taylor]: Taking taylor expansion of x in x
11.938 * [backup-simplify]: Simplify 0 into 0
11.938 * [backup-simplify]: Simplify 1 into 1
11.939 * [backup-simplify]: Simplify (* 0 1/2) into 0
11.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.940 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.941 * [backup-simplify]: Simplify (+ 0) into 0
11.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.943 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
11.943 * [backup-simplify]: Simplify (* 1 1) into 1
11.944 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.944 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x
11.944 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
11.944 * [taylor]: Taking taylor expansion of (sin x) in x
11.944 * [taylor]: Taking taylor expansion of x in x
11.944 * [backup-simplify]: Simplify 0 into 0
11.944 * [backup-simplify]: Simplify 1 into 1
11.944 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
11.944 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
11.944 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
11.944 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
11.944 * [taylor]: Taking taylor expansion of 1/2 in x
11.944 * [backup-simplify]: Simplify 1/2 into 1/2
11.944 * [taylor]: Taking taylor expansion of x in x
11.944 * [backup-simplify]: Simplify 0 into 0
11.944 * [backup-simplify]: Simplify 1 into 1
11.945 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.945 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.945 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
11.945 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
11.945 * [taylor]: Taking taylor expansion of 1/2 in x
11.945 * [backup-simplify]: Simplify 1/2 into 1/2
11.945 * [taylor]: Taking taylor expansion of x in x
11.945 * [backup-simplify]: Simplify 0 into 0
11.945 * [backup-simplify]: Simplify 1 into 1
11.946 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.946 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
11.947 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.947 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.947 * [taylor]: Taking taylor expansion of x in x
11.947 * [backup-simplify]: Simplify 0 into 0
11.947 * [backup-simplify]: Simplify 1 into 1
11.947 * [backup-simplify]: Simplify (* 0 1/2) into 0
11.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.948 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.949 * [backup-simplify]: Simplify (+ 0) into 0
11.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.950 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.950 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
11.950 * [backup-simplify]: Simplify (* 1 1) into 1
11.950 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.951 * [backup-simplify]: Simplify 1/2 into 1/2
11.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.952 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
11.953 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
11.954 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
11.954 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.955 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
11.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.956 * [backup-simplify]: Simplify 0 into 0
11.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
11.957 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
11.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.958 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
11.960 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24
11.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.962 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
11.962 * [backup-simplify]: Simplify -1/24 into -1/24
11.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
11.965 * [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
11.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.967 * [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
11.968 * [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
11.969 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
11.971 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0
11.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
11.976 * [backup-simplify]: Simplify 0 into 0
11.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
11.979 * [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
11.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
11.981 * [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
11.982 * [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
11.986 * [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
11.989 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720
11.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.992 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
11.992 * [backup-simplify]: Simplify 1/720 into 1/720
11.992 * [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)))
11.992 * [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))))
11.992 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0
11.992 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x
11.992 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.992 * [taylor]: Taking taylor expansion of x in x
11.993 * [backup-simplify]: Simplify 0 into 0
11.993 * [backup-simplify]: Simplify 1 into 1
11.993 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x
11.993 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
11.993 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
11.993 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
11.993 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
11.993 * [taylor]: Taking taylor expansion of 1/2 in x
11.993 * [backup-simplify]: Simplify 1/2 into 1/2
11.993 * [taylor]: Taking taylor expansion of x in x
11.993 * [backup-simplify]: Simplify 0 into 0
11.993 * [backup-simplify]: Simplify 1 into 1
11.993 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.994 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
11.994 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
11.994 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
11.994 * [taylor]: Taking taylor expansion of 1/2 in x
11.994 * [backup-simplify]: Simplify 1/2 into 1/2
11.994 * [taylor]: Taking taylor expansion of x in x
11.994 * [backup-simplify]: Simplify 0 into 0
11.994 * [backup-simplify]: Simplify 1 into 1
11.994 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.994 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
11.994 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
11.994 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
11.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.995 * [taylor]: Taking taylor expansion of x in x
11.995 * [backup-simplify]: Simplify 0 into 0
11.995 * [backup-simplify]: Simplify 1 into 1
11.995 * [backup-simplify]: Simplify (/ 1 1) into 1
11.995 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
11.995 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x
11.995 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.995 * [taylor]: Taking taylor expansion of x in x
11.995 * [backup-simplify]: Simplify 0 into 0
11.995 * [backup-simplify]: Simplify 1 into 1
11.995 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x
11.995 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
11.995 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
11.995 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
11.995 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
11.995 * [taylor]: Taking taylor expansion of 1/2 in x
11.995 * [backup-simplify]: Simplify 1/2 into 1/2
11.995 * [taylor]: Taking taylor expansion of x in x
11.996 * [backup-simplify]: Simplify 0 into 0
11.996 * [backup-simplify]: Simplify 1 into 1
11.996 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.996 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
11.996 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
11.996 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
11.996 * [taylor]: Taking taylor expansion of 1/2 in x
11.996 * [backup-simplify]: Simplify 1/2 into 1/2
11.996 * [taylor]: Taking taylor expansion of x in x
11.996 * [backup-simplify]: Simplify 0 into 0
11.996 * [backup-simplify]: Simplify 1 into 1
11.997 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.997 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
11.997 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
11.997 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
11.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.997 * [taylor]: Taking taylor expansion of x in x
11.997 * [backup-simplify]: Simplify 0 into 0
11.997 * [backup-simplify]: Simplify 1 into 1
11.997 * [backup-simplify]: Simplify (/ 1 1) into 1
11.997 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
11.998 * [backup-simplify]: Simplify (* 1 1) into 1
11.998 * [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)))
11.998 * [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)))
11.998 * [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)))
11.999 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
11.999 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
12.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0
12.000 * [backup-simplify]: Simplify 0 into 0
12.001 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
12.001 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
12.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
12.003 * [backup-simplify]: Simplify 0 into 0
12.004 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
12.005 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
12.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0
12.007 * [backup-simplify]: Simplify 0 into 0
12.007 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
12.009 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
12.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0
12.012 * [backup-simplify]: Simplify 0 into 0
12.012 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
12.014 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
12.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
12.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0
12.018 * [backup-simplify]: Simplify 0 into 0
12.018 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
12.021 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
12.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
12.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0
12.026 * [backup-simplify]: Simplify 0 into 0
12.026 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
12.027 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x))))
12.027 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0
12.027 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
12.027 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.027 * [taylor]: Taking taylor expansion of x in x
12.027 * [backup-simplify]: Simplify 0 into 0
12.027 * [backup-simplify]: Simplify 1 into 1
12.027 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
12.027 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
12.027 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
12.027 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
12.027 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
12.027 * [taylor]: Taking taylor expansion of -1/2 in x
12.027 * [backup-simplify]: Simplify -1/2 into -1/2
12.027 * [taylor]: Taking taylor expansion of x in x
12.027 * [backup-simplify]: Simplify 0 into 0
12.027 * [backup-simplify]: Simplify 1 into 1
12.028 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.028 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
12.028 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
12.028 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
12.028 * [taylor]: Taking taylor expansion of -1/2 in x
12.028 * [backup-simplify]: Simplify -1/2 into -1/2
12.028 * [taylor]: Taking taylor expansion of x in x
12.028 * [backup-simplify]: Simplify 0 into 0
12.028 * [backup-simplify]: Simplify 1 into 1
12.028 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.028 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
12.029 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
12.029 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
12.029 * [taylor]: Taking taylor expansion of (/ -1 x) in x
12.029 * [taylor]: Taking taylor expansion of -1 in x
12.029 * [backup-simplify]: Simplify -1 into -1
12.029 * [taylor]: Taking taylor expansion of x in x
12.029 * [backup-simplify]: Simplify 0 into 0
12.029 * [backup-simplify]: Simplify 1 into 1
12.029 * [backup-simplify]: Simplify (/ -1 1) into -1
12.029 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
12.029 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
12.029 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.029 * [taylor]: Taking taylor expansion of x in x
12.029 * [backup-simplify]: Simplify 0 into 0
12.029 * [backup-simplify]: Simplify 1 into 1
12.029 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
12.030 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
12.030 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
12.030 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
12.030 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
12.030 * [taylor]: Taking taylor expansion of -1/2 in x
12.030 * [backup-simplify]: Simplify -1/2 into -1/2
12.030 * [taylor]: Taking taylor expansion of x in x
12.030 * [backup-simplify]: Simplify 0 into 0
12.030 * [backup-simplify]: Simplify 1 into 1
12.030 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.030 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
12.030 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
12.030 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
12.030 * [taylor]: Taking taylor expansion of -1/2 in x
12.030 * [backup-simplify]: Simplify -1/2 into -1/2
12.030 * [taylor]: Taking taylor expansion of x in x
12.030 * [backup-simplify]: Simplify 0 into 0
12.030 * [backup-simplify]: Simplify 1 into 1
12.031 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.031 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
12.031 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
12.031 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
12.031 * [taylor]: Taking taylor expansion of (/ -1 x) in x
12.031 * [taylor]: Taking taylor expansion of -1 in x
12.031 * [backup-simplify]: Simplify -1 into -1
12.031 * [taylor]: Taking taylor expansion of x in x
12.031 * [backup-simplify]: Simplify 0 into 0
12.031 * [backup-simplify]: Simplify 1 into 1
12.032 * [backup-simplify]: Simplify (/ -1 1) into -1
12.032 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
12.032 * [backup-simplify]: Simplify (* 1 1) into 1
12.032 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
12.032 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
12.033 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
12.033 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
12.033 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
12.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0
12.034 * [backup-simplify]: Simplify 0 into 0
12.035 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
12.035 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
12.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
12.037 * [backup-simplify]: Simplify 0 into 0
12.038 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
12.039 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
12.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0
12.042 * [backup-simplify]: Simplify 0 into 0
12.042 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
12.043 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
12.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0
12.046 * [backup-simplify]: Simplify 0 into 0
12.047 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
12.048 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
12.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
12.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0
12.051 * [backup-simplify]: Simplify 0 into 0
12.052 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
12.055 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
12.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
12.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0
12.060 * [backup-simplify]: Simplify 0 into 0
12.061 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
12.061 * * * [progress]: simplifying candidates
12.061 * * * * [progress]: [ 1 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (log1p (expm1 (/ (tan (/ x 2)) x)))))>
12.061 * * * * [progress]: [ 2 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (expm1 (log1p (/ (tan (/ x 2)) x)))))>
12.061 * * * * [progress]: [ 3 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (pow (/ (tan (/ x 2)) x) 1)))>
12.061 * * * * [progress]: [ 4 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (exp (- (log (tan (/ x 2))) (log x)))))>
12.061 * * * * [progress]: [ 5 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (exp (log (/ (tan (/ x 2)) x)))))>
12.061 * * * * [progress]: [ 6 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (log (exp (/ (tan (/ x 2)) x)))))>
12.061 * * * * [progress]: [ 7 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (cbrt (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)))))>
12.061 * * * * [progress]: [ 8 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)))))>
12.062 * * * * [progress]: [ 9 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (cbrt (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)))))>
12.062 * * * * [progress]: [ 10 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)))))>
12.062 * * * * [progress]: [ 11 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (- (tan (/ x 2))) (- x))))>
12.062 * * * * [progress]: [ 12 / 120 ] 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)))))>
12.062 * * * * [progress]: [ 13 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (/ (cbrt (tan (/ x 2))) (sqrt x)))))>
12.062 * * * * [progress]: [ 14 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1) (/ (cbrt (tan (/ x 2))) x))))>
12.062 * * * * [progress]: [ 15 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)))))>
12.062 * * * * [progress]: [ 16 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)))))>
12.062 * * * * [progress]: [ 17 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ (sqrt (tan (/ x 2))) 1) (/ (sqrt (tan (/ x 2))) x))))>
12.062 * * * * [progress]: [ 18 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)))))>
12.062 * * * * [progress]: [ 19 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)))))>
12.062 * * * * [progress]: [ 20 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ 1 1) (/ (tan (/ x 2)) x))))>
12.063 * * * * [progress]: [ 21 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* 1 (/ (tan (/ x 2)) x))))>
12.063 * * * * [progress]: [ 22 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x))))>
12.063 * * * * [progress]: [ 23 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ 1 (/ x (tan (/ x 2))))))>
12.063 * * * * [progress]: [ 24 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (cbrt x))))>
12.063 * * * * [progress]: [ 25 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (/ (tan (/ x 2)) (sqrt x)) (sqrt x))))>
12.063 * * * * [progress]: [ 26 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (/ (tan (/ x 2)) 1) x)))>
12.063 * * * * [progress]: [ 27 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ x (cbrt (tan (/ x 2)))))))>
12.063 * * * * [progress]: [ 28 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (/ x (sqrt (tan (/ x 2)))))))>
12.063 * * * * [progress]: [ 29 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ 1 (/ x (tan (/ x 2))))))>
12.063 * * * * [progress]: [ 30 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (sin (/ x 2)) (* x (cos (/ x 2))))))>
12.063 * * * * [progress]: [ 31 / 120 ] simplifiying candidate #<alt (λ (x) (* (log1p (expm1 (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
12.063 * * * * [progress]: [ 32 / 120 ] simplifiying candidate #<alt (λ (x) (* (expm1 (log1p (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
12.064 * * * * [progress]: [ 33 / 120 ] simplifiying candidate #<alt (λ (x) (* (pow (/ (sin x) x) 1) (/ (tan (/ x 2)) x)))>
12.064 * * * * [progress]: [ 34 / 120 ] simplifiying candidate #<alt (λ (x) (* (exp (- (log (sin x)) (log x))) (/ (tan (/ x 2)) x)))>
12.064 * * * * [progress]: [ 35 / 120 ] simplifiying candidate #<alt (λ (x) (* (exp (log (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
12.064 * * * * [progress]: [ 36 / 120 ] simplifiying candidate #<alt (λ (x) (* (log (exp (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
12.064 * * * * [progress]: [ 37 / 120 ] simplifiying candidate #<alt (λ (x) (* (cbrt (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x))) (/ (tan (/ x 2)) x)))>
12.064 * * * * [progress]: [ 38 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
12.064 * * * * [progress]: [ 39 / 120 ] simplifiying candidate #<alt (λ (x) (* (cbrt (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
12.064 * * * * [progress]: [ 40 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
12.064 * * * * [progress]: [ 41 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (- (sin x)) (- x)) (/ (tan (/ x 2)) x)))>
12.064 * * * * [progress]: [ 42 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x))) (/ (tan (/ x 2)) x)))>
12.064 * * * * [progress]: [ 43 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x))) (/ (tan (/ x 2)) x)))>
12.064 * * * * [progress]: [ 44 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) x)) (/ (tan (/ x 2)) x)))>
12.064 * * * * [progress]: [ 45 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x))) (/ (tan (/ x 2)) x)))>
12.064 * * * * [progress]: [ 46 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x))) (/ (tan (/ x 2)) x)))>
12.064 * * * * [progress]: [ 47 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) x)) (/ (tan (/ x 2)) x)))>
12.065 * * * * [progress]: [ 48 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x))) (/ (tan (/ x 2)) x)))>
12.065 * * * * [progress]: [ 49 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ 1 (sqrt x)) (/ (sin x) (sqrt x))) (/ (tan (/ x 2)) x)))>
12.065 * * * * [progress]: [ 50 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ 1 1) (/ (sin x) x)) (/ (tan (/ x 2)) x)))>
12.065 * * * * [progress]: [ 51 / 120 ] simplifiying candidate #<alt (λ (x) (* (* 1 (/ (sin x) x)) (/ (tan (/ x 2)) x)))>
12.065 * * * * [progress]: [ 52 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (sin x) (/ 1 x)) (/ (tan (/ x 2)) x)))>
12.065 * * * * [progress]: [ 53 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (/ x (sin x))) (/ (tan (/ x 2)) x)))>
12.065 * * * * [progress]: [ 54 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) (* (cbrt x) (cbrt x))) (cbrt x)) (/ (tan (/ x 2)) x)))>
12.065 * * * * [progress]: [ 55 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) (sqrt x)) (sqrt x)) (/ (tan (/ x 2)) x)))>
12.065 * * * * [progress]: [ 56 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) 1) x) (/ (tan (/ x 2)) x)))>
12.065 * * * * [progress]: [ 57 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ x (cbrt (sin x)))) (/ (tan (/ x 2)) x)))>
12.065 * * * * [progress]: [ 58 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) (/ x (sqrt (sin x)))) (/ (tan (/ x 2)) x)))>
12.065 * * * * [progress]: [ 59 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (/ x (sin x))) (/ (tan (/ x 2)) x)))>
12.065 * * * * [progress]: [ 60 / 120 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
12.065 * * * * [progress]: [ 61 / 120 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
12.065 * * * * [progress]: [ 62 / 120 ] simplifiying candidate #<alt (λ (x) (pow (* (/ (sin x) x) (/ (tan (/ x 2)) x)) 1))>
12.065 * * * * [progress]: [ 63 / 120 ] simplifiying candidate #<alt (λ (x) (pow (* (/ (sin x) x) (/ (tan (/ x 2)) x)) 1))>
12.065 * * * * [progress]: [ 64 / 120 ] simplifiying candidate #<alt (λ (x) (exp (+ (- (log (sin x)) (log x)) (- (log (tan (/ x 2))) (log x)))))>
12.066 * * * * [progress]: [ 65 / 120 ] simplifiying candidate #<alt (λ (x) (exp (+ (- (log (sin x)) (log x)) (log (/ (tan (/ x 2)) x)))))>
12.066 * * * * [progress]: [ 66 / 120 ] simplifiying candidate #<alt (λ (x) (exp (+ (log (/ (sin x) x)) (- (log (tan (/ x 2))) (log x)))))>
12.066 * * * * [progress]: [ 67 / 120 ] simplifiying candidate #<alt (λ (x) (exp (+ (log (/ (sin x) x)) (log (/ (tan (/ x 2)) x)))))>
12.066 * * * * [progress]: [ 68 / 120 ] simplifiying candidate #<alt (λ (x) (exp (log (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
12.066 * * * * [progress]: [ 69 / 120 ] simplifiying candidate #<alt (λ (x) (log (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
12.066 * * * * [progress]: [ 70 / 120 ] 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)))))>
12.066 * * * * [progress]: [ 71 / 120 ] 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)))))>
12.066 * * * * [progress]: [ 72 / 120 ] 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)))))>
12.066 * * * * [progress]: [ 73 / 120 ] 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)))))>
12.066 * * * * [progress]: [ 74 / 120 ] 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)))))>
12.066 * * * * [progress]: [ 75 / 120 ] 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)))))>
12.066 * * * * [progress]: [ 76 / 120 ] simplifiying candidate #<alt (λ (x) (* (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
12.066 * * * * [progress]: [ 77 / 120 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (tan (/ x 2))) (* x x)))>
12.066 * * * * [progress]: [ 78 / 120 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (sin x) x) (/ (tan (/ x 2)) x))))>
12.066 * * * * [progress]: [ 79 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x)))))>
12.067 * * * * [progress]: [ 80 / 120 ] 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)))))>
12.067 * * * * [progress]: [ 81 / 120 ] 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)))))>
12.067 * * * * [progress]: [ 82 / 120 ] 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)))))>
12.067 * * * * [progress]: [ 83 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))) (cbrt (/ (tan (/ x 2)) x))))>
12.067 * * * * [progress]: [ 84 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (sqrt (/ (tan (/ x 2)) x))) (sqrt (/ (tan (/ x 2)) x))))>
12.067 * * * * [progress]: [ 85 / 120 ] 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))))>
12.067 * * * * [progress]: [ 86 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))) (/ (cbrt (tan (/ x 2))) (sqrt x))))>
12.067 * * * * [progress]: [ 87 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)) (/ (cbrt (tan (/ x 2))) x)))>
12.067 * * * * [progress]: [ 88 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))) (/ (sqrt (tan (/ x 2))) (cbrt x))))>
12.067 * * * * [progress]: [ 89 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (sqrt x))) (/ (sqrt (tan (/ x 2))) (sqrt x))))>
12.067 * * * * [progress]: [ 90 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) 1)) (/ (sqrt (tan (/ x 2))) x)))>
12.067 * * * * [progress]: [ 91 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ 1 (* (cbrt x) (cbrt x)))) (/ (tan (/ x 2)) (cbrt x))))>
12.067 * * * * [progress]: [ 92 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ 1 (sqrt x))) (/ (tan (/ x 2)) (sqrt x))))>
12.067 * * * * [progress]: [ 93 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ 1 1)) (/ (tan (/ x 2)) x)))>
12.067 * * * * [progress]: [ 94 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) 1) (/ (tan (/ x 2)) x)))>
12.067 * * * * [progress]: [ 95 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (tan (/ x 2))) (/ 1 x)))>
12.068 * * * * [progress]: [ 96 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x))))>
12.068 * * * * [progress]: [ 97 / 120 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (sin x) x)) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x))))>
12.068 * * * * [progress]: [ 98 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (* (/ (cbrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x))))>
12.068 * * * * [progress]: [ 99 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (* (/ (cbrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x))))>
12.068 * * * * [progress]: [ 100 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (* (/ (cbrt (sin x)) x) (/ (tan (/ x 2)) x))))>
12.068 * * * * [progress]: [ 101 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (* (/ (sqrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x))))>
12.068 * * * * [progress]: [ 102 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) (sqrt x)) (* (/ (sqrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x))))>
12.068 * * * * [progress]: [ 103 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) 1) (* (/ (sqrt (sin x)) x) (/ (tan (/ x 2)) x))))>
12.068 * * * * [progress]: [ 104 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (cbrt x) (cbrt x))) (* (/ (sin x) (cbrt x)) (/ (tan (/ x 2)) x))))>
12.068 * * * * [progress]: [ 105 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt x)) (* (/ (sin x) (sqrt x)) (/ (tan (/ x 2)) x))))>
12.068 * * * * [progress]: [ 106 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ 1 1) (* (/ (sin x) x) (/ (tan (/ x 2)) x))))>
12.068 * * * * [progress]: [ 107 / 120 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (sin x) x) (/ (tan (/ x 2)) x))))>
12.068 * * * * [progress]: [ 108 / 120 ] simplifiying candidate #<alt (λ (x) (* (sin x) (* (/ 1 x) (/ (tan (/ x 2)) x))))>
12.068 * * * * [progress]: [ 109 / 120 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) x) (tan (/ x 2))) x))>
12.068 * * * * [progress]: [ 110 / 120 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))>
12.068 * * * * [progress]: [ 111 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (tan (/ x 2)) x) (/ (sin x) x)))>
12.069 * * * * [progress]: [ 112 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2))))>
12.069 * * * * [progress]: [ 113 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))))>
12.069 * * * * [progress]: [ 114 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))))>
12.069 * * * * [progress]: [ 115 / 120 ] simplifiying candidate #<alt (λ (x) (* (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (tan (/ x 2)) x)))>
12.069 * * * * [progress]: [ 116 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))>
12.069 * * * * [progress]: [ 117 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))>
12.069 * * * * [progress]: [ 118 / 120 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
12.069 * * * * [progress]: [ 119 / 120 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
12.069 * * * * [progress]: [ 120 / 120 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
12.071 * [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)))
  (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))
  (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))
  (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2))
  (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))
  (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))
  (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2)))
  (/ (sin x) x)
  (/ (sin x) x)
  (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))
  (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
  (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
12.074 * * [simplify]: iteration 1: (169 enodes)
12.112 * * [simplify]: iteration 2: (446 enodes)
12.383 * * [simplify]: iteration 3: (1652 enodes)
21.608 * * [simplify]: Extracting #0: cost 104 inf + 0
21.612 * * [simplify]: Extracting #1: cost 745 inf + 1
21.622 * * [simplify]: Extracting #2: cost 1392 inf + 5618
21.651 * * [simplify]: Extracting #3: cost 966 inf + 93055
21.738 * * [simplify]: Extracting #4: cost 322 inf + 302675
21.843 * * [simplify]: Extracting #5: cost 20 inf + 401303
21.958 * * [simplify]: Extracting #6: cost 1 inf + 407550
22.042 * * [simplify]: Extracting #7: cost 0 inf + 407988
22.145 * [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)
  (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))
  (expm1 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
  (log1p (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
  (* (/ (sin x) x) (/ (tan (/ x 2)) x))
  (log (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
  (log (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
  (log (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
  (log (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
  (log (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
  (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
  (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))))
  (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))))
  (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))))
  (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))))
  (* (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))))
  (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
  (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))))
  (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
  (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
  (* (sin x) (tan (/ x 2)))
  (* x x)
  (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x)))
  (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) 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))
  (* (sqrt (/ (tan (/ x 2)) x)) (/ (sin x) x))
  (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (sin x) x)))
  (/ (* (* (cbrt (tan (/ x 2))) (/ (sin x) x)) (cbrt (tan (/ x 2)))) (sqrt x))
  (* (* (cbrt (tan (/ x 2))) (/ (sin x) x)) (cbrt (tan (/ x 2))))
  (* (/ (/ (sin x) x) (* (cbrt x) (cbrt x))) (sqrt (tan (/ x 2))))
  (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sin x) x))
  (* (sqrt (tan (/ x 2))) (/ (sin x) x))
  (/ (sin x) (* x (* (cbrt x) (cbrt x))))
  (/ (sin x) (* x (sqrt x)))
  (/ (sin x) x)
  (/ (sin x) x)
  (/ (* (sin x) (tan (/ x 2))) x)
  (* (/ (tan (/ x 2)) x) (cbrt (/ (sin x) x)))
  (/ (* (tan (/ x 2)) (sqrt (/ (sin x) x))) x)
  (/ (/ (* (cbrt (sin x)) (tan (/ x 2))) (cbrt x)) x)
  (/ (* (cbrt (sin x)) (tan (/ x 2))) (* x (sqrt x)))
  (/ (* (cbrt (sin x)) (tan (/ x 2))) (* x x))
  (/ (* (/ (sqrt (sin x)) (cbrt x)) (tan (/ x 2))) x)
  (/ (* (tan (/ x 2)) (sqrt (sin x))) (* x (sqrt x)))
  (/ (/ (sqrt (sin x)) x) (/ x (tan (/ x 2))))
  (/ (/ (* (sin x) (tan (/ x 2))) (cbrt x)) x)
  (/ (sin x) (* (/ x (tan (/ x 2))) (sqrt x)))
  (* (/ (sin x) x) (/ (tan (/ x 2)) x))
  (* (/ (sin x) x) (/ (tan (/ x 2)) x))
  (/ (/ (tan (/ x 2)) x) x)
  (/ (* (sin x) (tan (/ x 2))) x)
  (/ (* (sin x) (tan (/ x 2))) x)
  (fma (* (* x x) (* x x)) 1/240 (fma 1/24 (* x x) 1/2))
  (/ (/ (sin (* x 1/2)) x) (cos (* x 1/2)))
  (/ (/ (sin (* x 1/2)) x) (cos (* x 1/2)))
  (fma -1/6 (* x x) (fma 1/120 (* (* x x) (* x x)) 1))
  (/ (sin x) x)
  (/ (sin x) x)
  (fma (* x x) -1/24 (fma (* (* x x) (* x x)) 1/720 1/2))
  (* (/ (/ (sin (* x 1/2)) x) x) (/ (sin x) (cos (* x 1/2))))
  (* (/ (/ (sin (* x 1/2)) x) x) (/ (sin x) (cos (* x 1/2))))
22.155 * * * [progress]: adding candidates to table
23.275 * * [progress]: iteration 4 / 4
23.275 * * * [progress]: picking best candidate
23.286 * * * * [pick]: Picked  #<alt (λ (x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))>
23.286 * * * [progress]: localizing error
23.304 * * * [progress]: generating rewritten candidates
23.304 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
23.325 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2)
23.336 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
23.362 * * * [progress]: generating series expansions
23.362 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
23.363 * [backup-simplify]: Simplify (* (sin x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) x)
23.363 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in (x) around 0
23.363 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x
23.363 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
23.363 * [taylor]: Taking taylor expansion of (sin x) in x
23.363 * [taylor]: Taking taylor expansion of x in x
23.363 * [backup-simplify]: Simplify 0 into 0
23.363 * [backup-simplify]: Simplify 1 into 1
23.363 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
23.363 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
23.363 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
23.363 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
23.363 * [taylor]: Taking taylor expansion of 1/2 in x
23.363 * [backup-simplify]: Simplify 1/2 into 1/2
23.363 * [taylor]: Taking taylor expansion of x in x
23.363 * [backup-simplify]: Simplify 0 into 0
23.363 * [backup-simplify]: Simplify 1 into 1
23.364 * [backup-simplify]: Simplify (* 1/2 0) into 0
23.365 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
23.365 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
23.365 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
23.365 * [taylor]: Taking taylor expansion of 1/2 in x
23.365 * [backup-simplify]: Simplify 1/2 into 1/2
23.365 * [taylor]: Taking taylor expansion of x in x
23.365 * [backup-simplify]: Simplify 0 into 0
23.365 * [backup-simplify]: Simplify 1 into 1
23.365 * [backup-simplify]: Simplify (* 1/2 0) into 0
23.366 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
23.367 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
23.367 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.367 * [taylor]: Taking taylor expansion of x in x
23.367 * [backup-simplify]: Simplify 0 into 0
23.367 * [backup-simplify]: Simplify 1 into 1
23.368 * [backup-simplify]: Simplify (* 0 1/2) into 0
23.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
23.369 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
23.370 * [backup-simplify]: Simplify (+ 0) into 0
23.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
23.371 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
23.372 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
23.372 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.372 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x
23.372 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
23.372 * [taylor]: Taking taylor expansion of (sin x) in x
23.372 * [taylor]: Taking taylor expansion of x in x
23.372 * [backup-simplify]: Simplify 0 into 0
23.372 * [backup-simplify]: Simplify 1 into 1
23.373 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
23.373 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
23.373 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
23.373 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
23.373 * [taylor]: Taking taylor expansion of 1/2 in x
23.373 * [backup-simplify]: Simplify 1/2 into 1/2
23.373 * [taylor]: Taking taylor expansion of x in x
23.373 * [backup-simplify]: Simplify 0 into 0
23.373 * [backup-simplify]: Simplify 1 into 1
23.373 * [backup-simplify]: Simplify (* 1/2 0) into 0
23.374 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
23.374 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
23.374 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
23.374 * [taylor]: Taking taylor expansion of 1/2 in x
23.374 * [backup-simplify]: Simplify 1/2 into 1/2
23.374 * [taylor]: Taking taylor expansion of x in x
23.374 * [backup-simplify]: Simplify 0 into 0
23.374 * [backup-simplify]: Simplify 1 into 1
23.374 * [backup-simplify]: Simplify (* 1/2 0) into 0
23.375 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
23.376 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
23.376 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.376 * [taylor]: Taking taylor expansion of x in x
23.376 * [backup-simplify]: Simplify 0 into 0
23.376 * [backup-simplify]: Simplify 1 into 1
23.377 * [backup-simplify]: Simplify (* 0 1/2) into 0
23.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
23.378 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
23.379 * [backup-simplify]: Simplify (+ 0) into 0
23.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
23.380 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
23.381 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
23.381 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.381 * [backup-simplify]: Simplify 1/2 into 1/2
23.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
23.384 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
23.386 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
23.387 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
23.388 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
23.389 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
23.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
23.390 * [backup-simplify]: Simplify 0 into 0
23.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
23.392 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
23.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
23.394 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
23.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
23.402 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
23.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24
23.405 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
23.405 * [backup-simplify]: Simplify -1/24 into -1/24
23.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
23.411 * [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
23.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
23.415 * [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
23.417 * [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
23.418 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
23.419 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0
23.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
23.420 * [backup-simplify]: Simplify 0 into 0
23.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
23.423 * [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
23.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
23.425 * [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
23.427 * [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
23.429 * [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
23.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720
23.431 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
23.431 * [backup-simplify]: Simplify 1/720 into 1/720
23.431 * [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)))
23.431 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) into (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) x))
23.431 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) x)) in (x) around 0
23.431 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) x)) in x
23.431 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
23.431 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
23.431 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
23.431 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
23.431 * [taylor]: Taking taylor expansion of 1/2 in x
23.431 * [backup-simplify]: Simplify 1/2 into 1/2
23.431 * [taylor]: Taking taylor expansion of x in x
23.431 * [backup-simplify]: Simplify 0 into 0
23.431 * [backup-simplify]: Simplify 1 into 1
23.432 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.432 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
23.432 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
23.432 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
23.432 * [taylor]: Taking taylor expansion of 1/2 in x
23.432 * [backup-simplify]: Simplify 1/2 into 1/2
23.432 * [taylor]: Taking taylor expansion of x in x
23.432 * [backup-simplify]: Simplify 0 into 0
23.432 * [backup-simplify]: Simplify 1 into 1
23.432 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.432 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
23.432 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
23.432 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) x) in x
23.432 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
23.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x
23.432 * [taylor]: Taking taylor expansion of x in x
23.432 * [backup-simplify]: Simplify 0 into 0
23.432 * [backup-simplify]: Simplify 1 into 1
23.433 * [backup-simplify]: Simplify (/ 1 1) into 1
23.433 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
23.433 * [taylor]: Taking taylor expansion of x in x
23.433 * [backup-simplify]: Simplify 0 into 0
23.433 * [backup-simplify]: Simplify 1 into 1
23.433 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) x)) in x
23.433 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
23.433 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
23.433 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
23.433 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
23.433 * [taylor]: Taking taylor expansion of 1/2 in x
23.433 * [backup-simplify]: Simplify 1/2 into 1/2
23.433 * [taylor]: Taking taylor expansion of x in x
23.433 * [backup-simplify]: Simplify 0 into 0
23.433 * [backup-simplify]: Simplify 1 into 1
23.433 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.433 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
23.433 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
23.433 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
23.433 * [taylor]: Taking taylor expansion of 1/2 in x
23.433 * [backup-simplify]: Simplify 1/2 into 1/2
23.433 * [taylor]: Taking taylor expansion of x in x
23.433 * [backup-simplify]: Simplify 0 into 0
23.433 * [backup-simplify]: Simplify 1 into 1
23.434 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.434 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
23.434 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
23.434 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) x) in x
23.434 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
23.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x
23.434 * [taylor]: Taking taylor expansion of x in x
23.434 * [backup-simplify]: Simplify 0 into 0
23.434 * [backup-simplify]: Simplify 1 into 1
23.434 * [backup-simplify]: Simplify (/ 1 1) into 1
23.434 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
23.434 * [taylor]: Taking taylor expansion of x in x
23.434 * [backup-simplify]: Simplify 0 into 0
23.434 * [backup-simplify]: Simplify 1 into 1
23.434 * [backup-simplify]: Simplify (* (sin (/ 1 x)) 0) into 0
23.434 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0
23.434 * [backup-simplify]: Simplify 0 into 0
23.435 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 1) (* 0 0)) into (sin (/ 1 x))
23.435 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
23.435 * [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)))
23.436 * [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)))
23.436 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 1) (* 0 0))) into 0
23.436 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
23.437 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 (sin (/ 1 x))) (* 0 0))) into 0
23.437 * [backup-simplify]: Simplify 0 into 0
23.437 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
23.437 * [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
23.438 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 (sin (/ 1 x))) (* 0 0)))) into 0
23.438 * [backup-simplify]: Simplify 0 into 0
23.439 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
23.439 * [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
23.440 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ 1 x))) (* 0 0))))) into 0
23.440 * [backup-simplify]: Simplify 0 into 0
23.440 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
23.441 * [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
23.442 * [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
23.442 * [backup-simplify]: Simplify 0 into 0
23.443 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
23.443 * [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
23.444 * [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
23.444 * [backup-simplify]: Simplify 0 into 0
23.445 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
23.446 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
23.447 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ 1 x))) (* 0 0)))))))) into 0
23.447 * [backup-simplify]: Simplify 0 into 0
23.447 * [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))
23.447 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) into (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))))
23.447 * [approximate]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in (x) around 0
23.447 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x
23.447 * [taylor]: Taking taylor expansion of -1 in x
23.447 * [backup-simplify]: Simplify -1 into -1
23.447 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
23.447 * [taylor]: Taking taylor expansion of x in x
23.447 * [backup-simplify]: Simplify 0 into 0
23.447 * [backup-simplify]: Simplify 1 into 1
23.447 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
23.447 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
23.448 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
23.448 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
23.448 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
23.448 * [taylor]: Taking taylor expansion of -1/2 in x
23.448 * [backup-simplify]: Simplify -1/2 into -1/2
23.448 * [taylor]: Taking taylor expansion of x in x
23.448 * [backup-simplify]: Simplify 0 into 0
23.448 * [backup-simplify]: Simplify 1 into 1
23.448 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
23.448 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
23.448 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
23.448 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
23.448 * [taylor]: Taking taylor expansion of -1/2 in x
23.448 * [backup-simplify]: Simplify -1/2 into -1/2
23.448 * [taylor]: Taking taylor expansion of x in x
23.448 * [backup-simplify]: Simplify 0 into 0
23.448 * [backup-simplify]: Simplify 1 into 1
23.448 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
23.448 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
23.448 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
23.448 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
23.449 * [taylor]: Taking taylor expansion of (/ -1 x) in x
23.449 * [taylor]: Taking taylor expansion of -1 in x
23.449 * [backup-simplify]: Simplify -1 into -1
23.449 * [taylor]: Taking taylor expansion of x in x
23.449 * [backup-simplify]: Simplify 0 into 0
23.449 * [backup-simplify]: Simplify 1 into 1
23.449 * [backup-simplify]: Simplify (/ -1 1) into -1
23.449 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
23.449 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x
23.449 * [taylor]: Taking taylor expansion of -1 in x
23.449 * [backup-simplify]: Simplify -1 into -1
23.449 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
23.449 * [taylor]: Taking taylor expansion of x in x
23.449 * [backup-simplify]: Simplify 0 into 0
23.449 * [backup-simplify]: Simplify 1 into 1
23.449 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
23.449 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
23.449 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
23.449 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
23.449 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
23.449 * [taylor]: Taking taylor expansion of -1/2 in x
23.449 * [backup-simplify]: Simplify -1/2 into -1/2
23.449 * [taylor]: Taking taylor expansion of x in x
23.449 * [backup-simplify]: Simplify 0 into 0
23.449 * [backup-simplify]: Simplify 1 into 1
23.449 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
23.449 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
23.450 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
23.450 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
23.450 * [taylor]: Taking taylor expansion of -1/2 in x
23.450 * [backup-simplify]: Simplify -1/2 into -1/2
23.450 * [taylor]: Taking taylor expansion of x in x
23.450 * [backup-simplify]: Simplify 0 into 0
23.450 * [backup-simplify]: Simplify 1 into 1
23.450 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
23.450 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
23.450 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
23.450 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
23.450 * [taylor]: Taking taylor expansion of (/ -1 x) in x
23.450 * [taylor]: Taking taylor expansion of -1 in x
23.450 * [backup-simplify]: Simplify -1 into -1
23.450 * [taylor]: Taking taylor expansion of x in x
23.450 * [backup-simplify]: Simplify 0 into 0
23.450 * [backup-simplify]: Simplify 1 into 1
23.451 * [backup-simplify]: Simplify (/ -1 1) into -1
23.451 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
23.451 * [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)))
23.451 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into 0
23.451 * [backup-simplify]: Simplify (* -1 0) into 0
23.451 * [backup-simplify]: Simplify 0 into 0
23.452 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
23.452 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
23.453 * [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)))
23.453 * [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))))
23.453 * [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))))
23.454 * [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
23.454 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
23.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
23.456 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))) into 0
23.456 * [backup-simplify]: Simplify 0 into 0
23.457 * [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
23.458 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
23.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0
23.460 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))) into 0
23.460 * [backup-simplify]: Simplify 0 into 0
23.461 * [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
23.462 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
23.463 * [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
23.465 * [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
23.465 * [backup-simplify]: Simplify 0 into 0
23.466 * [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
23.467 * [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
23.469 * [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
23.471 * [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
23.471 * [backup-simplify]: Simplify 0 into 0
23.472 * [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
23.474 * [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
23.476 * [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
23.479 * [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
23.479 * [backup-simplify]: Simplify 0 into 0
23.480 * [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
23.482 * [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
23.485 * [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
23.488 * [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
23.488 * [backup-simplify]: Simplify 0 into 0
23.488 * [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))
23.488 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2)
23.488 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x)
23.488 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0
23.489 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x
23.489 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
23.489 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
23.489 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
23.489 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
23.489 * [taylor]: Taking taylor expansion of 1/2 in x
23.489 * [backup-simplify]: Simplify 1/2 into 1/2
23.489 * [taylor]: Taking taylor expansion of x in x
23.489 * [backup-simplify]: Simplify 0 into 0
23.489 * [backup-simplify]: Simplify 1 into 1
23.489 * [backup-simplify]: Simplify (* 1/2 0) into 0
23.490 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
23.490 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
23.490 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
23.490 * [taylor]: Taking taylor expansion of 1/2 in x
23.490 * [backup-simplify]: Simplify 1/2 into 1/2
23.490 * [taylor]: Taking taylor expansion of x in x
23.490 * [backup-simplify]: Simplify 0 into 0
23.490 * [backup-simplify]: Simplify 1 into 1
23.491 * [backup-simplify]: Simplify (* 1/2 0) into 0
23.491 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
23.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
23.493 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.493 * [taylor]: Taking taylor expansion of x in x
23.493 * [backup-simplify]: Simplify 0 into 0
23.493 * [backup-simplify]: Simplify 1 into 1
23.493 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.493 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x
23.493 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
23.493 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
23.494 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
23.494 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
23.494 * [taylor]: Taking taylor expansion of 1/2 in x
23.494 * [backup-simplify]: Simplify 1/2 into 1/2
23.494 * [taylor]: Taking taylor expansion of x in x
23.494 * [backup-simplify]: Simplify 0 into 0
23.494 * [backup-simplify]: Simplify 1 into 1
23.494 * [backup-simplify]: Simplify (* 1/2 0) into 0
23.495 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
23.495 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
23.495 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
23.495 * [taylor]: Taking taylor expansion of 1/2 in x
23.495 * [backup-simplify]: Simplify 1/2 into 1/2
23.495 * [taylor]: Taking taylor expansion of x in x
23.495 * [backup-simplify]: Simplify 0 into 0
23.495 * [backup-simplify]: Simplify 1 into 1
23.496 * [backup-simplify]: Simplify (* 1/2 0) into 0
23.497 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
23.498 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
23.498 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.498 * [taylor]: Taking taylor expansion of x in x
23.498 * [backup-simplify]: Simplify 0 into 0
23.498 * [backup-simplify]: Simplify 1 into 1
23.498 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.499 * [backup-simplify]: Simplify 1/2 into 1/2
23.500 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
23.500 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
23.501 * [backup-simplify]: Simplify (+ 0) into 0
23.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
23.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
23.502 * [backup-simplify]: Simplify 0 into 0
23.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
23.505 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
23.506 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
23.508 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
23.509 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24
23.509 * [backup-simplify]: Simplify 1/24 into 1/24
23.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
23.512 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
23.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
23.514 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
23.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
23.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0
23.521 * [backup-simplify]: Simplify 0 into 0
23.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
23.527 * [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
23.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
23.531 * [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
23.533 * [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
23.535 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240
23.535 * [backup-simplify]: Simplify 1/240 into 1/240
23.535 * [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))
23.535 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x)
23.535 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0
23.535 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x
23.535 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
23.535 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
23.535 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
23.535 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
23.535 * [taylor]: Taking taylor expansion of 1/2 in x
23.536 * [backup-simplify]: Simplify 1/2 into 1/2
23.536 * [taylor]: Taking taylor expansion of x in x
23.536 * [backup-simplify]: Simplify 0 into 0
23.536 * [backup-simplify]: Simplify 1 into 1
23.536 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.536 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
23.536 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
23.537 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
23.537 * [taylor]: Taking taylor expansion of 1/2 in x
23.537 * [backup-simplify]: Simplify 1/2 into 1/2
23.537 * [taylor]: Taking taylor expansion of x in x
23.537 * [backup-simplify]: Simplify 0 into 0
23.537 * [backup-simplify]: Simplify 1 into 1
23.537 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.537 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
23.537 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
23.537 * [taylor]: Taking taylor expansion of x in x
23.537 * [backup-simplify]: Simplify 0 into 0
23.537 * [backup-simplify]: Simplify 1 into 1
23.538 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x
23.538 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
23.538 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
23.538 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
23.538 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
23.538 * [taylor]: Taking taylor expansion of 1/2 in x
23.538 * [backup-simplify]: Simplify 1/2 into 1/2
23.538 * [taylor]: Taking taylor expansion of x in x
23.538 * [backup-simplify]: Simplify 0 into 0
23.538 * [backup-simplify]: Simplify 1 into 1
23.538 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.538 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
23.538 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
23.538 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
23.538 * [taylor]: Taking taylor expansion of 1/2 in x
23.538 * [backup-simplify]: Simplify 1/2 into 1/2
23.538 * [taylor]: Taking taylor expansion of x in x
23.538 * [backup-simplify]: Simplify 0 into 0
23.539 * [backup-simplify]: Simplify 1 into 1
23.539 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.539 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
23.539 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
23.539 * [taylor]: Taking taylor expansion of x in x
23.539 * [backup-simplify]: Simplify 0 into 0
23.539 * [backup-simplify]: Simplify 1 into 1
23.539 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0
23.539 * [backup-simplify]: Simplify 0 into 0
23.540 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
23.540 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
23.540 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
23.541 * [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
23.542 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0
23.542 * [backup-simplify]: Simplify 0 into 0
23.542 * [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
23.543 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
23.543 * [backup-simplify]: Simplify 0 into 0
23.543 * [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
23.544 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
23.544 * [backup-simplify]: Simplify 0 into 0
23.545 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
23.546 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
23.546 * [backup-simplify]: Simplify 0 into 0
23.547 * [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
23.548 * [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
23.548 * [backup-simplify]: Simplify 0 into 0
23.549 * [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
23.550 * [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
23.550 * [backup-simplify]: Simplify 0 into 0
23.551 * [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))
23.551 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x))))
23.551 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0
23.551 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x
23.551 * [taylor]: Taking taylor expansion of -1 in x
23.551 * [backup-simplify]: Simplify -1 into -1
23.551 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x
23.551 * [taylor]: Taking taylor expansion of x in x
23.551 * [backup-simplify]: Simplify 0 into 0
23.551 * [backup-simplify]: Simplify 1 into 1
23.551 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
23.551 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
23.551 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
23.551 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
23.551 * [taylor]: Taking taylor expansion of -1/2 in x
23.551 * [backup-simplify]: Simplify -1/2 into -1/2
23.551 * [taylor]: Taking taylor expansion of x in x
23.551 * [backup-simplify]: Simplify 0 into 0
23.551 * [backup-simplify]: Simplify 1 into 1
23.552 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
23.552 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
23.552 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
23.552 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
23.552 * [taylor]: Taking taylor expansion of -1/2 in x
23.552 * [backup-simplify]: Simplify -1/2 into -1/2
23.552 * [taylor]: Taking taylor expansion of x in x
23.552 * [backup-simplify]: Simplify 0 into 0
23.552 * [backup-simplify]: Simplify 1 into 1
23.552 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
23.552 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
23.553 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
23.553 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x
23.553 * [taylor]: Taking taylor expansion of -1 in x
23.553 * [backup-simplify]: Simplify -1 into -1
23.553 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x
23.553 * [taylor]: Taking taylor expansion of x in x
23.553 * [backup-simplify]: Simplify 0 into 0
23.553 * [backup-simplify]: Simplify 1 into 1
23.553 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
23.553 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
23.553 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
23.553 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
23.553 * [taylor]: Taking taylor expansion of -1/2 in x
23.553 * [backup-simplify]: Simplify -1/2 into -1/2
23.553 * [taylor]: Taking taylor expansion of x in x
23.553 * [backup-simplify]: Simplify 0 into 0
23.553 * [backup-simplify]: Simplify 1 into 1
23.553 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
23.554 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
23.554 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
23.554 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
23.554 * [taylor]: Taking taylor expansion of -1/2 in x
23.554 * [backup-simplify]: Simplify -1/2 into -1/2
23.554 * [taylor]: Taking taylor expansion of x in x
23.554 * [backup-simplify]: Simplify 0 into 0
23.554 * [backup-simplify]: Simplify 1 into 1
23.554 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
23.554 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
23.554 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
23.555 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0
23.555 * [backup-simplify]: Simplify (* -1 0) into 0
23.555 * [backup-simplify]: Simplify 0 into 0
23.555 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
23.556 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
23.556 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))
23.557 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))
23.557 * [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
23.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0
23.559 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0
23.559 * [backup-simplify]: Simplify 0 into 0
23.559 * [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
23.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
23.562 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0
23.562 * [backup-simplify]: Simplify 0 into 0
23.562 * [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
23.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0
23.565 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0
23.565 * [backup-simplify]: Simplify 0 into 0
23.566 * [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
23.568 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0
23.570 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0
23.570 * [backup-simplify]: Simplify 0 into 0
23.571 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 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
23.573 * [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
23.576 * [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
23.576 * [backup-simplify]: Simplify 0 into 0
23.576 * [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
23.579 * [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
23.582 * [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
23.582 * [backup-simplify]: Simplify 0 into 0
23.582 * [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))
23.582 * * * * [progress]: [ 3 / 3 ] generating series at (2)
23.582 * [backup-simplify]: Simplify (/ (* (sin x) (/ (tan (/ x 2)) x)) x) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2))
23.582 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0
23.582 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x
23.582 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
23.582 * [taylor]: Taking taylor expansion of (sin x) in x
23.582 * [taylor]: Taking taylor expansion of x in x
23.582 * [backup-simplify]: Simplify 0 into 0
23.582 * [backup-simplify]: Simplify 1 into 1
23.582 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
23.582 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
23.582 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
23.583 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
23.583 * [taylor]: Taking taylor expansion of 1/2 in x
23.583 * [backup-simplify]: Simplify 1/2 into 1/2
23.583 * [taylor]: Taking taylor expansion of x in x
23.583 * [backup-simplify]: Simplify 0 into 0
23.583 * [backup-simplify]: Simplify 1 into 1
23.583 * [backup-simplify]: Simplify (* 1/2 0) into 0
23.584 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
23.584 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
23.584 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
23.584 * [taylor]: Taking taylor expansion of 1/2 in x
23.584 * [backup-simplify]: Simplify 1/2 into 1/2
23.584 * [taylor]: Taking taylor expansion of x in x
23.584 * [backup-simplify]: Simplify 0 into 0
23.584 * [backup-simplify]: Simplify 1 into 1
23.584 * [backup-simplify]: Simplify (* 1/2 0) into 0
23.585 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
23.586 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
23.586 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.586 * [taylor]: Taking taylor expansion of (pow x 2) in x
23.586 * [taylor]: Taking taylor expansion of x in x
23.586 * [backup-simplify]: Simplify 0 into 0
23.586 * [backup-simplify]: Simplify 1 into 1
23.587 * [backup-simplify]: Simplify (* 0 1/2) into 0
23.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
23.588 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
23.589 * [backup-simplify]: Simplify (+ 0) into 0
23.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
23.590 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
23.591 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
23.591 * [backup-simplify]: Simplify (* 1 1) into 1
23.592 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.592 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x
23.592 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
23.592 * [taylor]: Taking taylor expansion of (sin x) in x
23.592 * [taylor]: Taking taylor expansion of x in x
23.592 * [backup-simplify]: Simplify 0 into 0
23.592 * [backup-simplify]: Simplify 1 into 1
23.592 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
23.592 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
23.592 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
23.592 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
23.592 * [taylor]: Taking taylor expansion of 1/2 in x
23.592 * [backup-simplify]: Simplify 1/2 into 1/2
23.592 * [taylor]: Taking taylor expansion of x in x
23.592 * [backup-simplify]: Simplify 0 into 0
23.592 * [backup-simplify]: Simplify 1 into 1
23.593 * [backup-simplify]: Simplify (* 1/2 0) into 0
23.593 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
23.593 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
23.593 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
23.593 * [taylor]: Taking taylor expansion of 1/2 in x
23.593 * [backup-simplify]: Simplify 1/2 into 1/2
23.593 * [taylor]: Taking taylor expansion of x in x
23.593 * [backup-simplify]: Simplify 0 into 0
23.594 * [backup-simplify]: Simplify 1 into 1
23.594 * [backup-simplify]: Simplify (* 1/2 0) into 0
23.595 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
23.595 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
23.596 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.596 * [taylor]: Taking taylor expansion of (pow x 2) in x
23.596 * [taylor]: Taking taylor expansion of x in x
23.596 * [backup-simplify]: Simplify 0 into 0
23.596 * [backup-simplify]: Simplify 1 into 1
23.597 * [backup-simplify]: Simplify (* 0 1/2) into 0
23.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
23.598 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
23.599 * [backup-simplify]: Simplify (+ 0) into 0
23.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
23.601 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
23.601 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
23.602 * [backup-simplify]: Simplify (* 1 1) into 1
23.602 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.602 * [backup-simplify]: Simplify 1/2 into 1/2
23.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
23.605 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
23.606 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
23.608 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
23.608 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
23.609 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
23.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
23.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
23.611 * [backup-simplify]: Simplify 0 into 0
23.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
23.614 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
23.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
23.616 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
23.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
23.620 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
23.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24
23.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
23.623 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
23.623 * [backup-simplify]: Simplify -1/24 into -1/24
23.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
23.629 * [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
23.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
23.633 * [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
23.636 * [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
23.637 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
23.639 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0
23.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
23.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
23.642 * [backup-simplify]: Simplify 0 into 0
23.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
23.648 * [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
23.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
23.651 * [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
23.654 * [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
23.657 * [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
23.660 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720
23.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
23.667 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
23.667 * [backup-simplify]: Simplify 1/720 into 1/720
23.667 * [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)))
23.667 * [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)))
23.667 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in (x) around 0
23.667 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in x
23.668 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
23.668 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
23.668 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
23.668 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
23.668 * [taylor]: Taking taylor expansion of 1/2 in x
23.668 * [backup-simplify]: Simplify 1/2 into 1/2
23.668 * [taylor]: Taking taylor expansion of x in x
23.668 * [backup-simplify]: Simplify 0 into 0
23.668 * [backup-simplify]: Simplify 1 into 1
23.669 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.669 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
23.669 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
23.669 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
23.669 * [taylor]: Taking taylor expansion of 1/2 in x
23.669 * [backup-simplify]: Simplify 1/2 into 1/2
23.669 * [taylor]: Taking taylor expansion of x in x
23.669 * [backup-simplify]: Simplify 0 into 0
23.669 * [backup-simplify]: Simplify 1 into 1
23.669 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.669 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
23.669 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
23.669 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (pow x 2)) in x
23.670 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
23.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x
23.670 * [taylor]: Taking taylor expansion of x in x
23.670 * [backup-simplify]: Simplify 0 into 0
23.670 * [backup-simplify]: Simplify 1 into 1
23.670 * [backup-simplify]: Simplify (/ 1 1) into 1
23.670 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
23.670 * [taylor]: Taking taylor expansion of (pow x 2) in x
23.670 * [taylor]: Taking taylor expansion of x in x
23.670 * [backup-simplify]: Simplify 0 into 0
23.670 * [backup-simplify]: Simplify 1 into 1
23.670 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in x
23.670 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
23.670 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
23.670 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
23.670 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
23.670 * [taylor]: Taking taylor expansion of 1/2 in x
23.670 * [backup-simplify]: Simplify 1/2 into 1/2
23.670 * [taylor]: Taking taylor expansion of x in x
23.670 * [backup-simplify]: Simplify 0 into 0
23.670 * [backup-simplify]: Simplify 1 into 1
23.671 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.671 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
23.671 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
23.671 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
23.671 * [taylor]: Taking taylor expansion of 1/2 in x
23.671 * [backup-simplify]: Simplify 1/2 into 1/2
23.671 * [taylor]: Taking taylor expansion of x in x
23.671 * [backup-simplify]: Simplify 0 into 0
23.671 * [backup-simplify]: Simplify 1 into 1
23.672 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
23.672 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
23.672 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
23.672 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (pow x 2)) in x
23.672 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
23.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x
23.672 * [taylor]: Taking taylor expansion of x in x
23.672 * [backup-simplify]: Simplify 0 into 0
23.672 * [backup-simplify]: Simplify 1 into 1
23.672 * [backup-simplify]: Simplify (/ 1 1) into 1
23.672 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
23.672 * [taylor]: Taking taylor expansion of (pow x 2) in x
23.673 * [taylor]: Taking taylor expansion of x in x
23.673 * [backup-simplify]: Simplify 0 into 0
23.673 * [backup-simplify]: Simplify 1 into 1
23.673 * [backup-simplify]: Simplify (* 1 1) into 1
23.673 * [backup-simplify]: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x))
23.673 * [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)))
23.674 * [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)))
23.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
23.675 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0
23.675 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
23.675 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
23.675 * [backup-simplify]: Simplify 0 into 0
23.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
23.677 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0
23.677 * [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
23.678 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
23.678 * [backup-simplify]: Simplify 0 into 0
23.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
23.680 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
23.680 * [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
23.681 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
23.681 * [backup-simplify]: Simplify 0 into 0
23.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
23.683 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
23.684 * [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
23.685 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
23.685 * [backup-simplify]: Simplify 0 into 0
23.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
23.688 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
23.688 * [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
23.690 * [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
23.690 * [backup-simplify]: Simplify 0 into 0
23.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
23.693 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
23.693 * [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
23.695 * [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
23.695 * [backup-simplify]: Simplify 0 into 0
23.696 * [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)))
23.696 * [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))))
23.696 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0
23.696 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
23.696 * [taylor]: Taking taylor expansion of (pow x 2) in x
23.696 * [taylor]: Taking taylor expansion of x in x
23.696 * [backup-simplify]: Simplify 0 into 0
23.696 * [backup-simplify]: Simplify 1 into 1
23.696 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
23.696 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
23.696 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
23.696 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
23.696 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
23.697 * [taylor]: Taking taylor expansion of -1/2 in x
23.697 * [backup-simplify]: Simplify -1/2 into -1/2
23.697 * [taylor]: Taking taylor expansion of x in x
23.697 * [backup-simplify]: Simplify 0 into 0
23.697 * [backup-simplify]: Simplify 1 into 1
23.697 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
23.697 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
23.697 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
23.698 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
23.698 * [taylor]: Taking taylor expansion of -1/2 in x
23.698 * [backup-simplify]: Simplify -1/2 into -1/2
23.698 * [taylor]: Taking taylor expansion of x in x
23.698 * [backup-simplify]: Simplify 0 into 0
23.698 * [backup-simplify]: Simplify 1 into 1
23.698 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
23.698 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
23.698 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
23.698 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
23.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x
23.698 * [taylor]: Taking taylor expansion of -1 in x
23.698 * [backup-simplify]: Simplify -1 into -1
23.698 * [taylor]: Taking taylor expansion of x in x
23.698 * [backup-simplify]: Simplify 0 into 0
23.698 * [backup-simplify]: Simplify 1 into 1
23.699 * [backup-simplify]: Simplify (/ -1 1) into -1
23.699 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
23.699 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
23.699 * [taylor]: Taking taylor expansion of (pow x 2) in x
23.699 * [taylor]: Taking taylor expansion of x in x
23.699 * [backup-simplify]: Simplify 0 into 0
23.699 * [backup-simplify]: Simplify 1 into 1
23.699 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
23.699 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
23.699 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
23.699 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
23.699 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
23.699 * [taylor]: Taking taylor expansion of -1/2 in x
23.699 * [backup-simplify]: Simplify -1/2 into -1/2
23.699 * [taylor]: Taking taylor expansion of x in x
23.699 * [backup-simplify]: Simplify 0 into 0
23.699 * [backup-simplify]: Simplify 1 into 1
23.700 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
23.700 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
23.700 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
23.700 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
23.700 * [taylor]: Taking taylor expansion of -1/2 in x
23.700 * [backup-simplify]: Simplify -1/2 into -1/2
23.700 * [taylor]: Taking taylor expansion of x in x
23.700 * [backup-simplify]: Simplify 0 into 0
23.700 * [backup-simplify]: Simplify 1 into 1
23.701 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
23.701 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
23.701 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
23.701 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
23.701 * [taylor]: Taking taylor expansion of (/ -1 x) in x
23.701 * [taylor]: Taking taylor expansion of -1 in x
23.701 * [backup-simplify]: Simplify -1 into -1
23.701 * [taylor]: Taking taylor expansion of x in x
23.701 * [backup-simplify]: Simplify 0 into 0
23.701 * [backup-simplify]: Simplify 1 into 1
23.701 * [backup-simplify]: Simplify (/ -1 1) into -1
23.701 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
23.702 * [backup-simplify]: Simplify (* 1 1) into 1
23.702 * [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)))
23.702 * [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)))
23.702 * [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)))
23.703 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
23.703 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
23.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
23.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0
23.704 * [backup-simplify]: Simplify 0 into 0
23.705 * [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
23.705 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
23.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
23.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
23.707 * [backup-simplify]: Simplify 0 into 0
23.708 * [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
23.709 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
23.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
23.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0
23.712 * [backup-simplify]: Simplify 0 into 0
23.712 * [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
23.713 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
23.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
23.716 * [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
23.716 * [backup-simplify]: Simplify 0 into 0
23.717 * [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
23.719 * [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
23.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
23.722 * [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
23.722 * [backup-simplify]: Simplify 0 into 0
23.723 * [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
23.725 * [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
23.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
23.730 * [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
23.730 * [backup-simplify]: Simplify 0 into 0
23.730 * [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)))
23.730 * * * [progress]: simplifying candidates
23.730 * * * * [progress]: [ 1 / 99 ] simplifiying candidate #<alt (λ (x) (/ (log1p (expm1 (* (sin x) (/ (tan (/ x 2)) x)))) x))>
23.730 * * * * [progress]: [ 2 / 99 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (* (sin x) (/ (tan (/ x 2)) x)))) x))>
23.730 * * * * [progress]: [ 3 / 99 ] simplifiying candidate #<alt (λ (x) (/ (pow (* (sin x) (/ (tan (/ x 2)) x)) 1) x))>
23.730 * * * * [progress]: [ 4 / 99 ] simplifiying candidate #<alt (λ (x) (/ (pow (* (sin x) (/ (tan (/ x 2)) x)) 1) x))>
23.731 * * * * [progress]: [ 5 / 99 ] simplifiying candidate #<alt (λ (x) (/ (exp (+ (log (sin x)) (- (log (tan (/ x 2))) (log x)))) x))>
23.731 * * * * [progress]: [ 6 / 99 ] simplifiying candidate #<alt (λ (x) (/ (exp (+ (log (sin x)) (log (/ (tan (/ x 2)) x)))) x))>
23.731 * * * * [progress]: [ 7 / 99 ] simplifiying candidate #<alt (λ (x) (/ (exp (log (* (sin x) (/ (tan (/ x 2)) x)))) x))>
23.731 * * * * [progress]: [ 8 / 99 ] simplifiying candidate #<alt (λ (x) (/ (log (exp (* (sin x) (/ (tan (/ x 2)) x)))) x))>
23.731 * * * * [progress]: [ 9 / 99 ] 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))>
23.731 * * * * [progress]: [ 10 / 99 ] 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))>
23.731 * * * * [progress]: [ 11 / 99 ] 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))>
23.731 * * * * [progress]: [ 12 / 99 ] 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))>
23.731 * * * * [progress]: [ 13 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (* (sin x) (/ (tan (/ x 2)) x))) (sqrt (* (sin x) (/ (tan (/ x 2)) x)))) x))>
23.731 * * * * [progress]: [ 14 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (* (sin x) (/ (tan (/ x 2)) x))) x))>
23.731 * * * * [progress]: [ 15 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sqrt (sin x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (sin x)) (sqrt (/ (tan (/ x 2)) x)))) x))>
23.731 * * * * [progress]: [ 16 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sqrt (sin x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sqrt (sin x)) (/ (sqrt (tan (/ x 2))) (sqrt x)))) x))>
23.731 * * * * [progress]: [ 17 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))) (cbrt (/ (tan (/ x 2)) x))) x))>
23.731 * * * * [progress]: [ 18 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (sqrt (/ (tan (/ x 2)) x))) (sqrt (/ (tan (/ x 2)) x))) x))>
23.731 * * * * [progress]: [ 19 / 99 ] 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))>
23.732 * * * * [progress]: [ 20 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))) (/ (cbrt (tan (/ x 2))) (sqrt x))) x))>
23.732 * * * * [progress]: [ 21 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)) (/ (cbrt (tan (/ x 2))) x)) x))>
23.732 * * * * [progress]: [ 22 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))) (/ (sqrt (tan (/ x 2))) (cbrt x))) x))>
23.732 * * * * [progress]: [ 23 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (/ (sqrt (tan (/ x 2))) (sqrt x))) (/ (sqrt (tan (/ x 2))) (sqrt x))) x))>
23.732 * * * * [progress]: [ 24 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (/ (sqrt (tan (/ x 2))) 1)) (/ (sqrt (tan (/ x 2))) x)) x))>
23.732 * * * * [progress]: [ 25 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (/ 1 (* (cbrt x) (cbrt x)))) (/ (tan (/ x 2)) (cbrt x))) x))>
23.732 * * * * [progress]: [ 26 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (/ 1 (sqrt x))) (/ (tan (/ x 2)) (sqrt x))) x))>
23.732 * * * * [progress]: [ 27 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (/ 1 1)) (/ (tan (/ x 2)) x)) x))>
23.732 * * * * [progress]: [ 28 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) 1) (/ (tan (/ x 2)) x)) x))>
23.732 * * * * [progress]: [ 29 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (tan (/ x 2))) (/ 1 x)) x))>
23.732 * * * * [progress]: [ 30 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (/ (tan (/ x 2)) x))) x))>
23.732 * * * * [progress]: [ 31 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (sin x)) (* (sqrt (sin x)) (/ (tan (/ x 2)) x))) x))>
23.732 * * * * [progress]: [ 32 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (* (sin x) (/ (tan (/ x 2)) x))) x))>
23.732 * * * * [progress]: [ 33 / 99 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (tan (/ x 2))) x) x))>
23.732 * * * * [progress]: [ 34 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (tan (/ x 2)) x) (sin x)) x))>
23.733 * * * * [progress]: [ 35 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (log1p (expm1 (/ (tan (/ x 2)) x)))) x))>
23.733 * * * * [progress]: [ 36 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (expm1 (log1p (/ (tan (/ x 2)) x)))) x))>
23.733 * * * * [progress]: [ 37 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (pow (/ (tan (/ x 2)) x) 1)) x))>
23.733 * * * * [progress]: [ 38 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (exp (- (log (tan (/ x 2))) (log x)))) x))>
23.733 * * * * [progress]: [ 39 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (exp (log (/ (tan (/ x 2)) x)))) x))>
23.733 * * * * [progress]: [ 40 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (log (exp (/ (tan (/ x 2)) x)))) x))>
23.733 * * * * [progress]: [ 41 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (cbrt (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)))) x))>
23.733 * * * * [progress]: [ 42 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)))) x))>
23.733 * * * * [progress]: [ 43 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (cbrt (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)))) x))>
23.733 * * * * [progress]: [ 44 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)))) x))>
23.733 * * * * [progress]: [ 45 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (- (tan (/ x 2))) (- x))) x))>
23.733 * * * * [progress]: [ 46 / 99 ] 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))>
23.733 * * * * [progress]: [ 47 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (/ (cbrt (tan (/ x 2))) (sqrt x)))) x))>
23.733 * * * * [progress]: [ 48 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1) (/ (cbrt (tan (/ x 2))) x))) x))>
23.733 * * * * [progress]: [ 49 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)))) x))>
23.733 * * * * [progress]: [ 50 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)))) x))>
23.734 * * * * [progress]: [ 51 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (/ (sqrt (tan (/ x 2))) 1) (/ (sqrt (tan (/ x 2))) x))) x))>
23.734 * * * * [progress]: [ 52 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)))) x))>
23.734 * * * * [progress]: [ 53 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)))) x))>
23.734 * * * * [progress]: [ 54 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (/ 1 1) (/ (tan (/ x 2)) x))) x))>
23.734 * * * * [progress]: [ 55 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* 1 (/ (tan (/ x 2)) x))) x))>
23.734 * * * * [progress]: [ 56 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (* (tan (/ x 2)) (/ 1 x))) x))>
23.734 * * * * [progress]: [ 57 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ 1 (/ x (tan (/ x 2))))) x))>
23.734 * * * * [progress]: [ 58 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (cbrt x))) x))>
23.734 * * * * [progress]: [ 59 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (/ (tan (/ x 2)) (sqrt x)) (sqrt x))) x))>
23.734 * * * * [progress]: [ 60 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (/ (tan (/ x 2)) 1) x)) x))>
23.734 * * * * [progress]: [ 61 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ x (cbrt (tan (/ x 2)))))) x))>
23.734 * * * * [progress]: [ 62 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (sqrt (tan (/ x 2))) (/ x (sqrt (tan (/ x 2)))))) x))>
23.734 * * * * [progress]: [ 63 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ 1 (/ x (tan (/ x 2))))) x))>
23.734 * * * * [progress]: [ 64 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (sin (/ x 2)) (* x (cos (/ x 2))))) x))>
23.734 * * * * [progress]: [ 65 / 99 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (/ (* (sin x) (/ (tan (/ x 2)) x)) x))))>
23.735 * * * * [progress]: [ 66 / 99 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (/ (* (sin x) (/ (tan (/ x 2)) x)) x))))>
23.735 * * * * [progress]: [ 67 / 99 ] simplifiying candidate #<alt (λ (x) (pow (/ (* (sin x) (/ (tan (/ x 2)) x)) x) 1))>
23.735 * * * * [progress]: [ 68 / 99 ] simplifiying candidate #<alt (λ (x) (exp (- (+ (log (sin x)) (- (log (tan (/ x 2))) (log x))) (log x))))>
23.735 * * * * [progress]: [ 69 / 99 ] simplifiying candidate #<alt (λ (x) (exp (- (+ (log (sin x)) (log (/ (tan (/ x 2)) x))) (log x))))>
23.735 * * * * [progress]: [ 70 / 99 ] simplifiying candidate #<alt (λ (x) (exp (- (log (* (sin x) (/ (tan (/ x 2)) x))) (log x))))>
23.735 * * * * [progress]: [ 71 / 99 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (* (sin x) (/ (tan (/ x 2)) x)) x))))>
23.735 * * * * [progress]: [ 72 / 99 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (* (sin x) (/ (tan (/ x 2)) x)) x))))>
23.735 * * * * [progress]: [ 73 / 99 ] 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))))>
23.735 * * * * [progress]: [ 74 / 99 ] 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))))>
23.735 * * * * [progress]: [ 75 / 99 ] 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))))>
23.735 * * * * [progress]: [ 76 / 99 ] 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))))>
23.735 * * * * [progress]: [ 77 / 99 ] 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))))>
23.735 * * * * [progress]: [ 78 / 99 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (sqrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x))))>
23.735 * * * * [progress]: [ 79 / 99 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sin x) (/ (tan (/ x 2)) x))) (- x)))>
23.735 * * * * [progress]: [ 80 / 99 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) (* (cbrt x) (cbrt x))) (/ (/ (tan (/ x 2)) x) (cbrt x))))>
23.736 * * * * [progress]: [ 81 / 99 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) (sqrt x)) (/ (/ (tan (/ x 2)) x) (sqrt x))))>
23.736 * * * * [progress]: [ 82 / 99 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) 1) (/ (/ (tan (/ x 2)) x) x)))>
23.736 * * * * [progress]: [ 83 / 99 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (* (sin x) (/ (tan (/ x 2)) x)) x)))>
23.736 * * * * [progress]: [ 84 / 99 ] simplifiying candidate #<alt (λ (x) (* (* (sin x) (/ (tan (/ x 2)) x)) (/ 1 x)))>
23.736 * * * * [progress]: [ 85 / 99 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ x (* (sin x) (/ (tan (/ x 2)) x)))))>
23.736 * * * * [progress]: [ 86 / 99 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (/ (tan (/ x 2)) x)) (* (cbrt x) (cbrt x))) (cbrt x)))>
23.736 * * * * [progress]: [ 87 / 99 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (/ (tan (/ x 2)) x)) (sqrt x)) (sqrt x)))>
23.736 * * * * [progress]: [ 88 / 99 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (/ (tan (/ x 2)) x)) 1) x))>
23.736 * * * * [progress]: [ 89 / 99 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (/ x (/ (tan (/ x 2)) x))))>
23.736 * * * * [progress]: [ 90 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (tan (/ x 2))) (* x x)))>
23.736 * * * * [progress]: [ 91 / 99 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) x))>
23.736 * * * * [progress]: [ 92 / 99 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) x))>
23.736 * * * * [progress]: [ 93 / 99 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) x))>
23.736 * * * * [progress]: [ 94 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2))) x))>
23.736 * * * * [progress]: [ 95 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) x))>
23.736 * * * * [progress]: [ 96 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) x))>
23.736 * * * * [progress]: [ 97 / 99 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
23.737 * * * * [progress]: [ 98 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
23.737 * * * * [progress]: [ 99 / 99 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
23.738 * [simplify]: Simplifying:
  (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)))
  (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)))
  (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)
  (- (+ (* 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))
  (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2))
  (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))
  (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))
  (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))
  (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
  (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
23.741 * * [simplify]: iteration 1: (151 enodes)
23.779 * * [simplify]: iteration 2: (365 enodes)
23.948 * * [simplify]: iteration 3: (1358 enodes)
30.222 * * [simplify]: Extracting #0: cost 82 inf + 0
30.233 * * [simplify]: Extracting #1: cost 1010 inf + 1
30.251 * * [simplify]: Extracting #2: cost 1907 inf + 17803
30.284 * * [simplify]: Extracting #3: cost 1456 inf + 99970
30.408 * * [simplify]: Extracting #4: cost 529 inf + 422105
30.531 * * [simplify]: Extracting #5: cost 29 inf + 625028
30.673 * * [simplify]: Extracting #6: cost 0 inf + 638820
30.808 * * [simplify]: Extracting #7: cost 0 inf + 638780
30.938 * [simplify]: Simplified to:
  (expm1 (* (/ (sin x) x) (tan (/ x 2))))
  (log1p (* (/ (sin x) x) (tan (/ x 2))))
  (* (/ (sin x) x) (tan (/ x 2)))
  (log (* (/ (sin x) x) (tan (/ x 2))))
  (log (* (/ (sin x) x) (tan (/ x 2))))
  (log (* (/ (sin x) x) (tan (/ x 2))))
  (exp (* (/ (sin x) x) (tan (/ x 2))))
  (* (* (/ (sin x) x) (tan (/ x 2))) (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2)))))
  (* (* (/ (sin x) x) (tan (/ x 2))) (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2)))))
  (* (cbrt (* (/ (sin x) x) (tan (/ x 2)))) (cbrt (* (/ (sin x) x) (tan (/ x 2)))))
  (cbrt (* (/ (sin x) x) (tan (/ x 2))))
  (* (* (/ (sin x) x) (tan (/ x 2))) (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2)))))
  (sqrt (* (/ (sin x) x) (tan (/ x 2))))
  (sqrt (* (/ (sin x) x) (tan (/ x 2))))
  (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (sin x)))
  (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (sin x)))
  (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (tan (/ x 2))))
  (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (tan (/ x 2))))
  (* (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (sin x))
  (* (sin x) (sqrt (/ (tan (/ x 2)) x)))
  (/ (sin x) (* (/ (cbrt x) (cbrt (tan (/ x 2)))) (/ (cbrt x) (cbrt (tan (/ x 2))))))
  (* (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (sin x))
  (* (* (sin x) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2))))
  (* (/ (sin x) (cbrt x)) (/ (sqrt (tan (/ x 2))) (cbrt x)))
  (/ (sin x) (/ (sqrt x) (sqrt (tan (/ x 2)))))
  (* (sin x) (sqrt (tan (/ x 2))))
  (/ (/ (sin x) (cbrt x)) (cbrt x))
  (/ (sin x) (sqrt x))
  (sin x)
  (sin x)
  (* (tan (/ x 2)) (sin x))
  (* (/ (cbrt (sin x)) x) (tan (/ x 2)))
  (* (sqrt (sin x)) (/ (tan (/ x 2)) x))
  (* (/ (sin x) x) (tan (/ x 2)))
  (* (tan (/ x 2)) (sin x))
  (expm1 (/ (tan (/ x 2)) x))
  (log1p (/ (tan (/ x 2)) x))
  (log (/ (tan (/ x 2)) x))
  (log (/ (tan (/ x 2)) x))
  (exp (/ (tan (/ x 2)) x))
  (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))
  (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))
  (cbrt (/ (tan (/ x 2)) x))
  (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))
  (sqrt (/ (tan (/ x 2)) x))
  (sqrt (/ (tan (/ x 2)) x))
  (- (tan (/ x 2)))
  (- x)
  (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (cbrt x)))
  (/ (cbrt (tan (/ x 2))) (cbrt x))
  (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))
  (/ (cbrt (tan (/ x 2))) (sqrt x))
  (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))
  (/ (cbrt (tan (/ x 2))) x)
  (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))
  (/ (sqrt (tan (/ x 2))) (cbrt x))
  (/ (sqrt (tan (/ x 2))) (sqrt x))
  (/ (sqrt (tan (/ x 2))) (sqrt x))
  (sqrt (tan (/ x 2)))
  (/ (sqrt (tan (/ x 2))) x)
  (/ 1 (* (cbrt x) (cbrt x)))
  (/ (tan (/ x 2)) (cbrt x))
  (/ 1 (sqrt x))
  (/ (tan (/ x 2)) (sqrt x))
  1
  (/ (tan (/ x 2)) x)
  (/ 1 x)
  (/ x (tan (/ x 2)))
  (/ (tan (/ x 2)) (* (cbrt x) (cbrt x)))
  (/ (tan (/ x 2)) (sqrt x))
  (tan (/ x 2))
  (/ x (cbrt (tan (/ x 2))))
  (/ x (sqrt (tan (/ x 2))))
  (/ x (tan (/ x 2)))
  (* (cos (/ x 2)) x)
  (expm1 (* (/ (sin x) (* x x)) (tan (/ x 2))))
  (log1p (* (/ (sin x) (* x x)) (tan (/ x 2))))
  (log (* (/ (sin x) (* x x)) (tan (/ x 2))))
  (log (* (/ (sin x) (* x x)) (tan (/ x 2))))
  (log (* (/ (sin x) (* x x)) (tan (/ x 2))))
  (log (* (/ (sin x) (* x x)) (tan (/ x 2))))
  (exp (* (/ (sin x) (* x x)) (tan (/ x 2))))
  (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)))
  (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)))
  (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)))
  (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))))
  (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))
  (* (/ (* (/ (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 x)) (tan (/ x 2))))
  (sqrt (* (/ (sin x) (* x x)) (tan (/ x 2))))
  (/ (* (- (sin x)) (tan (/ x 2))) x)
  (- x)
  (/ (/ (sin x) (cbrt x)) (cbrt x))
  (/ (tan (/ x 2)) (* (cbrt x) x))
  (/ (sin x) (sqrt x))
  (/ (tan (/ x 2)) (* (sqrt x) x))
  (sin x)
  (/ (tan (/ x 2)) (* x x))
  (/ 1 x)
  (/ (* (/ x (sin x)) x) (tan (/ x 2)))
  (* (/ (/ (sin x) (cbrt x)) x) (/ (tan (/ x 2)) (cbrt x)))
  (/ (* (/ (sin x) (sqrt x)) (tan (/ x 2))) x)
  (* (/ (sin x) x) (tan (/ x 2)))
  (/ (* x x) (tan (/ x 2)))
  (* x x)
  (fma (pow x 5) 1/720 (* x (+ 1/2 (* (* x x) -1/24))))
  (/ (* (sin x) (/ (sin (* x 1/2)) x)) (cos (* x 1/2)))
  (/ (* (sin x) (/ (sin (* x 1/2)) x)) (cos (* x 1/2)))
  (fma (* x x) 1/24 (fma (* (* x x) (* x x)) 1/240 1/2))
  (/ (/ (sin (* x 1/2)) (cos (* x 1/2))) x)
  (/ (/ (sin (* x 1/2)) (cos (* x 1/2))) x)
  (fma -1/24 (* x x) (fma (* (* x x) (* x x)) 1/720 1/2))
  (/ (* (/ (/ (sin x) x) x) (sin (* x 1/2))) (cos (* x 1/2)))
  (/ (* (/ (/ (sin x) x) x) (sin (* x 1/2))) (cos (* x 1/2)))
30.944 * * * [progress]: adding candidates to table
31.763 * [progress]: [Phase 3 of 3] Extracting.
31.763 * * [regime]: Finding splitpoints for: (#<alt (λ (x) (/ (exp (log (- 1 (cos x)))) (* x x)))> #<alt (λ (x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))> #<alt (λ (x) (* (sqrt (/ (sin x) x)) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x))))> #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))> #<alt (λ (x) (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))))> #<alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))>)
31.764 * * * [regime-changes]: Trying 1 branch expressions: (x)
31.764 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x) (/ (exp (log (- 1 (cos x)))) (* x x)))> #<alt (λ (x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))> #<alt (λ (x) (* (sqrt (/ (sin x) x)) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x))))> #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))> #<alt (λ (x) (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))))> #<alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))>)
31.805 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
31.805 * [simplify]: Simplifying:
  (/ (* (sin x) (/ (tan (/ x 2)) x)) x)
31.806 * * [simplify]: iteration 1: (8 enodes)
31.806 * * [simplify]: iteration 2: (9 enodes)
31.807 * * [simplify]: Extracting #0: cost 1 inf + 0
31.807 * * [simplify]: Extracting #1: cost 3 inf + 0
31.807 * * [simplify]: Extracting #2: cost 4 inf + 1
31.807 * * [simplify]: Extracting #3: cost 4 inf + 62
31.807 * * [simplify]: Extracting #4: cost 5 inf + 62
31.807 * * [simplify]: Extracting #5: cost 6 inf + 62
31.807 * * [simplify]: Extracting #6: cost 0 inf + 1013
31.808 * [simplify]: Simplified to:
  (/ (* (/ (tan (/ x 2)) x) (sin x)) x)
37.174 * [regime-testing]: Baseline error score: 0.1367502078872721
37.176 * [regime-testing]: Oracle error score: 0.023056296142534693
37.181 * [regime-testing]: End program error score: 0.1367502078872721