26.435 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.150 * * * [progress]: [2/2] Setting up program.
0.153 * [progress]: [Phase 2 of 3] Improving.
0.153 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))>
0.154 * [simplify]: Simplifying:
  (/ (- 1 (cos x)) (* x x))
0.154 * * [simplify]: iteration 0: 6 enodes
0.155 * * [simplify]: iteration 1: 15 enodes
0.157 * * [simplify]: iteration 2: 23 enodes
0.161 * * [simplify]: iteration 3: 28 enodes
0.167 * * [simplify]: iteration 4: 30 enodes
0.173 * * [simplify]: iteration complete: 30 enodes
0.173 * * [simplify]: Extracting #0: cost 1 inf + 0
0.173 * * [simplify]: Extracting #1: cost 8 inf + 0
0.173 * * [simplify]: Extracting #2: cost 12 inf + 42
0.173 * * [simplify]: Extracting #3: cost 7 inf + 447
0.173 * * [simplify]: Extracting #4: cost 0 inf + 1319
0.174 * [simplify]: Simplified to:
  (/ (- 1 (cos x)) (* x x))
0.174 * * [progress]: iteration 1 / 4
0.174 * * * [progress]: picking best candidate
0.177 * * * * [pick]: Picked  #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))>
0.177 * * * [progress]: localizing error
0.196 * * * [progress]: generating rewritten candidates
0.196 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.225 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.246 * * * [progress]: generating series expansions
0.246 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.246 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2))
0.246 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0
0.246 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x
0.246 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x
0.247 * [taylor]: Taking taylor expansion of 1 in x
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [taylor]: Taking taylor expansion of (cos x) in x
0.247 * [taylor]: Taking taylor expansion of x in x
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.247 * [taylor]: Taking taylor expansion of x in x
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.248 * [backup-simplify]: Simplify (- 1) into -1
0.248 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.249 * [backup-simplify]: Simplify (+ 0) into 0
0.250 * [backup-simplify]: Simplify (- 0) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.251 * [backup-simplify]: Simplify (- -1/2) into 1/2
0.251 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.252 * [backup-simplify]: Simplify (* 1 1) into 1
0.252 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.252 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x
0.252 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x
0.252 * [taylor]: Taking taylor expansion of 1 in x
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [taylor]: Taking taylor expansion of (cos x) in x
0.252 * [taylor]: Taking taylor expansion of x in x
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.252 * [taylor]: Taking taylor expansion of x in x
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (- 1) into -1
0.253 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.253 * [backup-simplify]: Simplify (+ 0) into 0
0.253 * [backup-simplify]: Simplify (- 0) into 0
0.253 * [backup-simplify]: Simplify (+ 0 0) into 0
0.254 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.254 * [backup-simplify]: Simplify (- -1/2) into 1/2
0.254 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.255 * [backup-simplify]: Simplify (* 1 1) into 1
0.255 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.255 * [backup-simplify]: Simplify 1/2 into 1/2
0.256 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.256 * [backup-simplify]: Simplify (- 0) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.259 * [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
0.259 * [backup-simplify]: Simplify (- 1/24) into -1/24
0.259 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24
0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.261 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
0.261 * [backup-simplify]: Simplify -1/24 into -1/24
0.262 * [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
0.262 * [backup-simplify]: Simplify (- 0) into 0
0.262 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify 0 into 0
0.268 * [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
0.269 * [backup-simplify]: Simplify (- -1/720) into 1/720
0.269 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.271 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
0.271 * [backup-simplify]: Simplify 1/720 into 1/720
0.272 * [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)))
0.272 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x))))
0.272 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0
0.272 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x
0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.272 * [taylor]: Taking taylor expansion of x in x
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 1 into 1
0.272 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
0.272 * [taylor]: Taking taylor expansion of 1 in x
0.272 * [backup-simplify]: Simplify 1 into 1
0.272 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.272 * [taylor]: Taking taylor expansion of x in x
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 1 into 1
0.273 * [backup-simplify]: Simplify (/ 1 1) into 1
0.273 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
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 x in x
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [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 * [backup-simplify]: Simplify (* 1 1) into 1
0.274 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x)))
0.274 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
0.274 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
0.275 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
0.275 * [backup-simplify]: Simplify (- 0) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0
0.276 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify (- 0) into 0
0.277 * [backup-simplify]: Simplify (+ 0 0) into 0
0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [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 0) (* 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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
0.281 * [backup-simplify]: Simplify (+ 0 0) into 0
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify (- 0) into 0
0.284 * [backup-simplify]: Simplify (+ 0 0) into 0
0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify (- 0) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2))
0.291 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x))))
0.291 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0
0.291 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x
0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.291 * [taylor]: Taking taylor expansion of x in x
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.291 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x
0.291 * [taylor]: Taking taylor expansion of 1 in x
0.291 * [backup-simplify]: Simplify 1 into 1
0.291 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.291 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.292 * [taylor]: Taking taylor expansion of -1 in x
0.292 * [backup-simplify]: Simplify -1 into -1
0.292 * [taylor]: Taking taylor expansion of x in x
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 1 into 1
0.292 * [backup-simplify]: Simplify (/ -1 1) into -1
0.292 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.292 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x
0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.292 * [taylor]: Taking taylor expansion of x in x
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 1 into 1
0.292 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x
0.292 * [taylor]: Taking taylor expansion of 1 in x
0.292 * [backup-simplify]: Simplify 1 into 1
0.292 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.292 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.292 * [taylor]: Taking taylor expansion of -1 in x
0.292 * [backup-simplify]: Simplify -1 into -1
0.292 * [taylor]: Taking taylor expansion of x in x
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 1 into 1
0.293 * [backup-simplify]: Simplify (/ -1 1) into -1
0.293 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.293 * [backup-simplify]: Simplify (* 1 1) into 1
0.293 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x)))
0.293 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
0.293 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
0.293 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x)))
0.294 * [backup-simplify]: Simplify (- 0) into 0
0.294 * [backup-simplify]: Simplify (+ 0 0) into 0
0.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0
0.295 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify (- 0) into 0
0.296 * [backup-simplify]: Simplify (+ 0 0) into 0
0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify (- 0) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify (- 0) into 0
0.301 * [backup-simplify]: Simplify (+ 0 0) into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify (- 0) into 0
0.304 * [backup-simplify]: Simplify (+ 0 0) into 0
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify (- 0) into 0
0.308 * [backup-simplify]: Simplify (+ 0 0) into 0
0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2))
0.312 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.312 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x))
0.312 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0
0.312 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x
0.312 * [taylor]: Taking taylor expansion of 1 in x
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [taylor]: Taking taylor expansion of (cos x) in x
0.312 * [taylor]: Taking taylor expansion of x in x
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x
0.312 * [taylor]: Taking taylor expansion of 1 in x
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [taylor]: Taking taylor expansion of (cos x) in x
0.312 * [taylor]: Taking taylor expansion of x in x
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify (- 1) into -1
0.313 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.313 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify (+ 0) into 0
0.314 * [backup-simplify]: Simplify (- 0) into 0
0.314 * [backup-simplify]: Simplify (+ 0 0) into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.315 * [backup-simplify]: Simplify (- -1/2) into 1/2
0.316 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.316 * [backup-simplify]: Simplify 1/2 into 1/2
0.317 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.317 * [backup-simplify]: Simplify (- 0) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.320 * [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
0.321 * [backup-simplify]: Simplify (- 1/24) into -1/24
0.321 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24
0.321 * [backup-simplify]: Simplify -1/24 into -1/24
0.323 * [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
0.323 * [backup-simplify]: Simplify (- 0) into 0
0.324 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.328 * [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
0.328 * [backup-simplify]: Simplify (- -1/720) into 1/720
0.329 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720
0.329 * [backup-simplify]: Simplify 1/720 into 1/720
0.329 * [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)))
0.329 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
0.329 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0
0.329 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
0.329 * [taylor]: Taking taylor expansion of 1 in x
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.330 * [taylor]: Taking taylor expansion of x in x
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [backup-simplify]: Simplify (/ 1 1) into 1
0.330 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.330 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
0.330 * [taylor]: Taking taylor expansion of 1 in x
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.330 * [taylor]: Taking taylor expansion of x in x
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.331 * [backup-simplify]: Simplify (/ 1 1) into 1
0.331 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.331 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x)))
0.331 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
0.331 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
0.331 * [backup-simplify]: Simplify (- 0) into 0
0.332 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [backup-simplify]: Simplify 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
0.333 * [backup-simplify]: Simplify (- 0) into 0
0.333 * [backup-simplify]: Simplify (+ 0 0) into 0
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify (- 0) into 0
0.334 * [backup-simplify]: Simplify (+ 0 0) into 0
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify (- 0) into 0
0.334 * [backup-simplify]: Simplify (+ 0 0) into 0
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify (- 0) into 0
0.335 * [backup-simplify]: Simplify (+ 0 0) into 0
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x))
0.335 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x)))
0.335 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0
0.336 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x
0.336 * [taylor]: Taking taylor expansion of 1 in x
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.336 * [taylor]: Taking taylor expansion of -1 in x
0.336 * [backup-simplify]: Simplify -1 into -1
0.336 * [taylor]: Taking taylor expansion of x in x
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (/ -1 1) into -1
0.336 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.336 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x
0.336 * [taylor]: Taking taylor expansion of 1 in x
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.336 * [taylor]: Taking taylor expansion of -1 in x
0.336 * [backup-simplify]: Simplify -1 into -1
0.336 * [taylor]: Taking taylor expansion of x in x
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.337 * [backup-simplify]: Simplify (/ -1 1) into -1
0.337 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.337 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x)))
0.337 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
0.337 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x)))
0.338 * [backup-simplify]: Simplify (- 0) into 0
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify (- 0) into 0
0.339 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (- 0) into 0
0.339 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (- 0) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (- 0) into 0
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify (- 0) into 0
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x))
0.342 * * * [progress]: simplifying candidates
0.342 * * * * [progress]: [ 1 / 69 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (/ (- 1 (cos x)) (* x x)))))>
0.342 * * * * [progress]: [ 2 / 69 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (/ (- 1 (cos x)) (* x x)))))>
0.342 * * * * [progress]: [ 3 / 69 ] simplifiying candidate #<alt (λ (x) (pow (/ (- 1 (cos x)) (* x x)) 1))>
0.342 * * * * [progress]: [ 4 / 69 ] simplifiying candidate #<alt (λ (x) (exp (- (log (- 1 (cos x))) (+ (log x) (log x)))))>
0.342 * * * * [progress]: [ 5 / 69 ] simplifiying candidate #<alt (λ (x) (exp (- (log (- 1 (cos x))) (log (* x x)))))>
0.342 * * * * [progress]: [ 6 / 69 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (- 1 (cos x)) (* x x)))))>
0.342 * * * * [progress]: [ 7 / 69 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (- 1 (cos x)) (* x x)))))>
0.342 * * * * [progress]: [ 8 / 69 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) x) (* (* x x) x)))))>
0.342 * * * * [progress]: [ 9 / 69 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x)))))>
0.342 * * * * [progress]: [ 10 / 69 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x)))))>
0.342 * * * * [progress]: [ 11 / 69 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x)))))>
0.342 * * * * [progress]: [ 12 / 69 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x)))))>
0.342 * * * * [progress]: [ 13 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- (- 1 (cos x))) (- (* x x))))>
0.342 * * * * [progress]: [ 14 / 69 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (* x x)) (/ (cos x) (* x x))))>
0.342 * * * * [progress]: [ 15 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x) (/ (cbrt (- 1 (cos x))) x)))>
0.343 * * * * [progress]: [ 16 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x)))>
0.343 * * * * [progress]: [ 17 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x)))>
0.343 * * * * [progress]: [ 18 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt 1) (sqrt (cos x))) x) (/ (- (sqrt 1) (sqrt (cos x))) x)))>
0.343 * * * * [progress]: [ 19 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x)))>
0.343 * * * * [progress]: [ 20 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x)))>
0.343 * * * * [progress]: [ 21 / 69 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (- 1 (cos x)) (* x x))))>
0.343 * * * * [progress]: [ 22 / 69 ] simplifiying candidate #<alt (λ (x) (* (- 1 (cos x)) (/ 1 (* x x))))>
0.343 * * * * [progress]: [ 23 / 69 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
0.343 * * * * [progress]: [ 24 / 69 ] simplifiying candidate #<alt (λ (x) (/ (/ (- 1 (cos x)) x) x))>
0.343 * * * * [progress]: [ 25 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (/ (* x x) (cbrt (- 1 (cos x))))))>
0.343 * * * * [progress]: [ 26 / 69 ] simplifiying candidate #<alt (λ (x) (/ (sqrt (- 1 (cos x))) (/ (* x x) (sqrt (- 1 (cos x))))))>
0.343 * * * * [progress]: [ 27 / 69 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
0.343 * * * * [progress]: [ 28 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (sqrt 1) (sqrt (cos x))) (/ (* x x) (- (sqrt 1) (sqrt (cos x))))))>
0.343 * * * * [progress]: [ 29 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ 1 (sqrt (cos x))) (/ (* x x) (- 1 (sqrt (cos x))))))>
0.343 * * * * [progress]: [ 30 / 69 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
0.343 * * * * [progress]: [ 31 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- (pow 1 3) (pow (cos x) 3)) (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))))))>
0.343 * * * * [progress]: [ 32 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- (* 1 1) (* (cos x) (cos x))) (* (* x x) (+ 1 (cos x)))))>
0.343 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #<alt (λ (x) (posit16->real (real->posit16 (/ (- 1 (cos x)) (* x x)))))>
0.343 * * * * [progress]: [ 34 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (* x x)))>
0.344 * * * * [progress]: [ 35 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x))))) (* x x)))>
0.344 * * * * [progress]: [ 36 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1))) (* x x)))>
0.344 * * * * [progress]: [ 37 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1) (sqrt 1) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (* x x)))>
0.344 * * * * [progress]: [ 38 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x))))) (* x x)))>
0.344 * * * * [progress]: [ 39 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1) (sqrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1))) (* x x)))>
0.344 * * * * [progress]: [ 40 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (* x x)))>
0.344 * * * * [progress]: [ 41 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x))))) (* x x)))>
0.344 * * * * [progress]: [ 42 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1))) (* x x)))>
0.344 * * * * [progress]: [ 43 / 69 ] simplifiying candidate #<alt (λ (x) (/ (log1p (expm1 (- 1 (cos x)))) (* x x)))>
0.344 * * * * [progress]: [ 44 / 69 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1 (cos x)))) (* x x)))>
0.344 * * * * [progress]: [ 45 / 69 ] simplifiying candidate #<alt (λ (x) (/ (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (cos x))) (* x x)))>
0.344 * * * * [progress]: [ 46 / 69 ] simplifiying candidate #<alt (λ (x) (/ (fma (sqrt 1) (sqrt 1) (- (cos x))) (* x x)))>
0.344 * * * * [progress]: [ 47 / 69 ] simplifiying candidate #<alt (λ (x) (/ (fma 1 1 (- (cos x))) (* x x)))>
0.344 * * * * [progress]: [ 48 / 69 ] simplifiying candidate #<alt (λ (x) (/ (log (/ (exp 1) (exp (cos x)))) (* x x)))>
0.344 * * * * [progress]: [ 49 / 69 ] simplifiying candidate #<alt (λ (x) (/ (pow (- 1 (cos x)) 1) (* x x)))>
0.344 * * * * [progress]: [ 50 / 69 ] simplifiying candidate #<alt (λ (x) (/ (exp (log (- 1 (cos x)))) (* x x)))>
0.344 * * * * [progress]: [ 51 / 69 ] simplifiying candidate #<alt (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x)))>
0.344 * * * * [progress]: [ 52 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x)))) (* x x)))>
0.345 * * * * [progress]: [ 53 / 69 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x)))) (* x x)))>
0.345 * * * * [progress]: [ 54 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x)))) (* x x)))>
0.345 * * * * [progress]: [ 55 / 69 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))) (* x x)))>
0.345 * * * * [progress]: [ 56 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ 1 (- (cos x))) (* x x)))>
0.345 * * * * [progress]: [ 57 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (- 1 (cos x))) (* x x)))>
0.345 * * * * [progress]: [ 58 / 69 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (* 1 1) (* (cos x) (cos x))) (+ 1 (cos x))) (* x x)))>
0.345 * * * * [progress]: [ 59 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* (+ (sqrt 1) (sqrt (cos x))) (- (sqrt 1) (sqrt (cos x)))) (* x x)))>
0.345 * * * * [progress]: [ 60 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x)))) (* x x)))>
0.345 * * * * [progress]: [ 61 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (- 1 (cos x))) (* x x)))>
0.345 * * * * [progress]: [ 62 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ 1 (- (cos x))) (* x x)))>
0.345 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #<alt (λ (x) (/ (posit16->real (real->posit16 (- 1 (cos x)))) (* x x)))>
0.345 * * * * [progress]: [ 64 / 69 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
0.345 * * * * [progress]: [ 65 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (pow x 2)))>
0.345 * * * * [progress]: [ 66 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (pow x 2)))>
0.345 * * * * [progress]: [ 67 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)))>
0.345 * * * * [progress]: [ 68 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))>
0.345 * * * * [progress]: [ 69 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))>
0.347 * [simplify]: Simplifying:
  (expm1 (/ (- 1 (cos x)) (* x x)))
  (log1p (/ (- 1 (cos x)) (* x x)))
  (- (log (- 1 (cos x))) (+ (log x) (log x)))
  (- (log (- 1 (cos x))) (log (* x x)))
  (log (/ (- 1 (cos x)) (* x x)))
  (exp (/ (- 1 (cos x)) (* x x)))
  (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) x) (* (* x x) x)))
  (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x)))
  (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x))))
  (cbrt (/ (- 1 (cos x)) (* x x)))
  (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x)))
  (sqrt (/ (- 1 (cos x)) (* x x)))
  (sqrt (/ (- 1 (cos x)) (* x x)))
  (- (- 1 (cos x)))
  (- (* x x))
  (/ 1 (* x x))
  (/ (cos x) (* x x))
  (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x)
  (/ (cbrt (- 1 (cos x))) x)
  (/ (sqrt (- 1 (cos x))) x)
  (/ (sqrt (- 1 (cos x))) x)
  (/ 1 x)
  (/ (- 1 (cos x)) x)
  (/ (+ (sqrt 1) (sqrt (cos x))) x)
  (/ (- (sqrt 1) (sqrt (cos x))) x)
  (/ (+ 1 (sqrt (cos x))) x)
  (/ (- 1 (sqrt (cos x))) x)
  (/ 1 x)
  (/ (- 1 (cos x)) x)
  (/ 1 (* x x))
  (/ (* x x) (- 1 (cos x)))
  (/ (- 1 (cos x)) x)
  (/ (* x x) (cbrt (- 1 (cos x))))
  (/ (* x x) (sqrt (- 1 (cos x))))
  (/ (* x x) (- 1 (cos x)))
  (/ (* x x) (- (sqrt 1) (sqrt (cos x))))
  (/ (* x x) (- 1 (sqrt (cos x))))
  (/ (* x x) (- 1 (cos x)))
  (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))))
  (* (* x x) (+ 1 (cos x)))
  (real->posit16 (/ (- 1 (cos x)) (* x x)))
  (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))))
  (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))
  (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cos x)) (sqrt (cos x)))))
  (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x))))
  (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cos x) 1)))
  (fma (- (cos x)) 1 (* (cos x) 1))
  (fma (sqrt 1) (sqrt 1) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))))
  (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))
  (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cos x)) (sqrt (cos x)))))
  (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x))))
  (fma (sqrt 1) (sqrt 1) (- (* (cos x) 1)))
  (fma (- (cos x)) 1 (* (cos x) 1))
  (fma 1 1 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))))
  (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))
  (fma 1 1 (- (* (sqrt (cos x)) (sqrt (cos x)))))
  (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x))))
  (fma 1 1 (- (* (cos x) 1)))
  (fma (- (cos x)) 1 (* (cos x) 1))
  (expm1 (- 1 (cos x)))
  (log1p (- 1 (cos x)))
  (- (cos x))
  (- (cos x))
  (- (cos x))
  (/ (exp 1) (exp (cos x)))
  (log (- 1 (cos x)))
  (exp (- 1 (cos x)))
  (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x))))
  (cbrt (- 1 (cos x)))
  (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x)))
  (sqrt (- 1 (cos x)))
  (sqrt (- 1 (cos x)))
  (- (pow 1 3) (pow (cos x) 3))
  (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))
  (- (cos x))
  (- (* 1 1) (* (cos x) (cos x)))
  (+ 1 (cos x))
  (+ (sqrt 1) (sqrt (cos x)))
  (- (sqrt 1) (sqrt (cos x)))
  (+ 1 (sqrt (cos x)))
  (- 1 (sqrt (cos x)))
  (- 1 (cos x))
  (- (cos x))
  (real->posit16 (- 1 (cos x)))
  (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))
  (/ (- 1 (cos x)) (pow x 2))
  (/ (- 1 (cos x)) (pow x 2))
  (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4)))
  (- 1 (cos x))
  (- 1 (cos x))
0.348 * * [simplify]: iteration 0: 121 enodes
0.403 * * [simplify]: iteration 1: 295 enodes
0.521 * * [simplify]: iteration 2: 867 enodes
0.710 * * [simplify]: iteration 3: 2048 enodes
1.190 * * [simplify]: iteration complete: 2048 enodes
1.190 * * [simplify]: Extracting #0: cost 48 inf + 0
1.191 * * [simplify]: Extracting #1: cost 408 inf + 0
1.194 * * [simplify]: Extracting #2: cost 666 inf + 12127
1.206 * * [simplify]: Extracting #3: cost 302 inf + 94686
1.233 * * [simplify]: Extracting #4: cost 3 inf + 155448
1.257 * * [simplify]: Extracting #5: cost 0 inf + 155765
1.282 * * [simplify]: Extracting #6: cost 0 inf + 155365
1.307 * [simplify]: Simplified to:
  (expm1 (/ (- 1 (cos x)) (* x x)))
  (log1p (/ (- 1 (cos x)) (* x x)))
  (log (/ (- 1 (cos x)) (* x x)))
  (log (/ (- 1 (cos x)) (* x x)))
  (log (/ (- 1 (cos x)) (* x x)))
  (exp (/ (- 1 (cos x)) (* x x)))
  (* (/ (- 1 (cos x)) (* x x)) (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))))
  (* (/ (- 1 (cos x)) (* x x)) (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))))
  (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x))))
  (cbrt (/ (- 1 (cos x)) (* x x)))
  (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x)))
  (sqrt (/ (- 1 (cos x)) (* x x)))
  (sqrt (/ (- 1 (cos x)) (* x x)))
  (- (- 1 (cos x)))
  (- (* x x))
  (/ 1 (* x x))
  (/ (/ (cos x) x) x)
  (/ (cbrt (- 1 (cos x))) (/ x (cbrt (- 1 (cos x)))))
  (/ (cbrt (- 1 (cos x))) x)
  (/ (sqrt (- 1 (cos x))) x)
  (/ (sqrt (- 1 (cos x))) x)
  (/ 1 x)
  (/ (- 1 (cos x)) x)
  (/ (+ 1 (sqrt (cos x))) x)
  (/ (- 1 (sqrt (cos x))) x)
  (/ (+ 1 (sqrt (cos x))) x)
  (/ (- 1 (sqrt (cos x))) x)
  (/ 1 x)
  (/ (- 1 (cos x)) x)
  (/ 1 (* x x))
  (/ x (/ (- 1 (cos x)) x))
  (/ (- 1 (cos x)) x)
  (/ (* x x) (cbrt (- 1 (cos x))))
  (/ (* x x) (sqrt (- 1 (cos x))))
  (/ x (/ (- 1 (cos x)) x))
  (* (/ x (- 1 (sqrt (cos x)))) x)
  (* (/ x (- 1 (sqrt (cos x)))) x)
  (/ x (/ (- 1 (cos x)) x))
  (fma (fma (cos x) (cos x) (cos x)) (* x x) (* x x))
  (fma (* x x) (cos x) (* x x))
  (real->posit16 (/ (- 1 (cos x)) (* x x)))
  (- 1 (cos x))
  (fma (cos x) -1 (cos x))
  (- 1 (cos x))
  (fma (cos x) -1 (cos x))
  (- 1 (cos x))
  (fma (cos x) -1 (cos x))
  (- 1 (cos x))
  (fma (cos x) -1 (cos x))
  (- 1 (cos x))
  (fma (cos x) -1 (cos x))
  (- 1 (cos x))
  (fma (cos x) -1 (cos x))
  (- 1 (cos x))
  (fma (cos x) -1 (cos x))
  (- 1 (cos x))
  (fma (cos x) -1 (cos x))
  (- 1 (cos x))
  (fma (cos x) -1 (cos x))
  (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))))
  (+ (cos x) (fma (cos x) (cos x) 1))
  (- (cos x))
  (* (sin x) (sin x))
  (+ (cos x) 1)
  (+ 1 (sqrt (cos x)))
  (- 1 (sqrt (cos x)))
  (+ 1 (sqrt (cos x)))
  (- 1 (sqrt (cos x)))
  (- 1 (cos x))
  (- (cos x))
  (real->posit16 (- 1 (cos x)))
  (fma -1/24 (* x x) (fma (* 1/720 (* x x)) (* x x) 1/2))
  (/ (- 1 (cos x)) (* x x))
  (/ (- 1 (cos x)) (* x x))
  (fma (* x x) 1/2 (fma (* (* x x) (* (* x x) (* x x))) 1/720 (* (* (* x x) (* x x)) -1/24)))
  (- 1 (cos x))
  (- 1 (cos x))
1.310 * * * [progress]: adding candidates to table
1.545 * * [progress]: iteration 2 / 4
1.545 * * * [progress]: picking best candidate
1.579 * * * * [pick]: Picked  #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
1.579 * * * [progress]: localizing error
1.615 * * * [progress]: generating rewritten candidates
1.615 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
1.657 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
1.667 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
1.688 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
1.707 * * * [progress]: generating series expansions
1.707 * * * * [progress]: [ 1 / 4 ] generating series at (2)
1.708 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
1.708 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0
1.708 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x
1.708 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
1.708 * [taylor]: Taking taylor expansion of (sin x) in x
1.708 * [taylor]: Taking taylor expansion of x in x
1.708 * [backup-simplify]: Simplify 0 into 0
1.708 * [backup-simplify]: Simplify 1 into 1
1.709 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.709 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x
1.709 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.709 * [taylor]: Taking taylor expansion of x in x
1.709 * [backup-simplify]: Simplify 0 into 0
1.709 * [backup-simplify]: Simplify 1 into 1
1.709 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
1.709 * [taylor]: Taking taylor expansion of (cos x) in x
1.710 * [taylor]: Taking taylor expansion of x in x
1.710 * [backup-simplify]: Simplify 0 into 0
1.710 * [backup-simplify]: Simplify 1 into 1
1.710 * [taylor]: Taking taylor expansion of 1 in x
1.710 * [backup-simplify]: Simplify 1 into 1
1.710 * [backup-simplify]: Simplify (* 1 1) into 1
1.710 * [backup-simplify]: Simplify (* 1 1) into 1
1.711 * [backup-simplify]: Simplify (+ 1 1) into 2
1.711 * [backup-simplify]: Simplify (* 1 2) into 2
1.712 * [backup-simplify]: Simplify (/ 1 2) into 1/2
1.712 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x
1.712 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
1.712 * [taylor]: Taking taylor expansion of (sin x) in x
1.712 * [taylor]: Taking taylor expansion of x in x
1.712 * [backup-simplify]: Simplify 0 into 0
1.712 * [backup-simplify]: Simplify 1 into 1
1.712 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.713 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x
1.713 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.713 * [taylor]: Taking taylor expansion of x in x
1.713 * [backup-simplify]: Simplify 0 into 0
1.713 * [backup-simplify]: Simplify 1 into 1
1.713 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
1.713 * [taylor]: Taking taylor expansion of (cos x) in x
1.713 * [taylor]: Taking taylor expansion of x in x
1.713 * [backup-simplify]: Simplify 0 into 0
1.713 * [backup-simplify]: Simplify 1 into 1
1.713 * [taylor]: Taking taylor expansion of 1 in x
1.713 * [backup-simplify]: Simplify 1 into 1
1.713 * [backup-simplify]: Simplify (* 1 1) into 1
1.714 * [backup-simplify]: Simplify (* 1 1) into 1
1.714 * [backup-simplify]: Simplify (+ 1 1) into 2
1.714 * [backup-simplify]: Simplify (* 1 2) into 2
1.715 * [backup-simplify]: Simplify (/ 1 2) into 1/2
1.715 * [backup-simplify]: Simplify 1/2 into 1/2
1.716 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.717 * [backup-simplify]: Simplify (+ 0) into 0
1.717 * [backup-simplify]: Simplify (+ 0 0) into 0
1.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0
1.718 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
1.718 * [backup-simplify]: Simplify 0 into 0
1.720 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
1.720 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
1.721 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
1.721 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
1.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.722 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2
1.723 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24
1.723 * [backup-simplify]: Simplify -1/24 into -1/24
1.724 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
1.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
1.725 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.726 * [backup-simplify]: Simplify (+ 0 0) into 0
1.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0
1.728 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0
1.728 * [backup-simplify]: Simplify 0 into 0
1.730 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
1.731 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
1.733 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
1.733 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24
1.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.735 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24
1.736 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720
1.736 * [backup-simplify]: Simplify 1/720 into 1/720
1.736 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))
1.736 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1))
1.737 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0
1.737 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x
1.737 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x
1.737 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
1.737 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
1.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.737 * [taylor]: Taking taylor expansion of x in x
1.737 * [backup-simplify]: Simplify 0 into 0
1.737 * [backup-simplify]: Simplify 1 into 1
1.737 * [backup-simplify]: Simplify (/ 1 1) into 1
1.737 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
1.737 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.737 * [taylor]: Taking taylor expansion of x in x
1.737 * [backup-simplify]: Simplify 0 into 0
1.737 * [backup-simplify]: Simplify 1 into 1
1.737 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
1.737 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.737 * [taylor]: Taking taylor expansion of x in x
1.737 * [backup-simplify]: Simplify 0 into 0
1.737 * [backup-simplify]: Simplify 1 into 1
1.737 * [backup-simplify]: Simplify (/ 1 1) into 1
1.737 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
1.737 * [taylor]: Taking taylor expansion of 1 in x
1.737 * [backup-simplify]: Simplify 1 into 1
1.738 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
1.738 * [backup-simplify]: Simplify (* 1 1) into 1
1.738 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2)
1.738 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
1.738 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
1.738 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x
1.738 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x
1.738 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
1.738 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
1.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.738 * [taylor]: Taking taylor expansion of x in x
1.738 * [backup-simplify]: Simplify 0 into 0
1.738 * [backup-simplify]: Simplify 1 into 1
1.738 * [backup-simplify]: Simplify (/ 1 1) into 1
1.738 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
1.739 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.739 * [taylor]: Taking taylor expansion of x in x
1.739 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify 1 into 1
1.739 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
1.739 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.739 * [taylor]: Taking taylor expansion of x in x
1.739 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify 1 into 1
1.739 * [backup-simplify]: Simplify (/ 1 1) into 1
1.739 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
1.739 * [taylor]: Taking taylor expansion of 1 in x
1.739 * [backup-simplify]: Simplify 1 into 1
1.739 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
1.739 * [backup-simplify]: Simplify (* 1 1) into 1
1.739 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2)
1.739 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
1.740 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
1.740 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
1.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.740 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
1.741 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0
1.741 * [backup-simplify]: Simplify (+ 0 0) into 0
1.741 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.741 * [backup-simplify]: Simplify 0 into 0
1.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.742 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
1.743 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
1.744 * [backup-simplify]: Simplify (+ 0 0) into 0
1.744 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.744 * [backup-simplify]: Simplify 0 into 0
1.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.746 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
1.747 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.747 * [backup-simplify]: Simplify (+ 0 0) into 0
1.747 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.747 * [backup-simplify]: Simplify 0 into 0
1.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.751 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
1.752 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.752 * [backup-simplify]: Simplify (+ 0 0) into 0
1.753 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.753 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.755 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
1.756 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.757 * [backup-simplify]: Simplify (+ 0 0) into 0
1.757 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.757 * [backup-simplify]: Simplify 0 into 0
1.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
1.761 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
1.762 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
1.762 * [backup-simplify]: Simplify (+ 0 0) into 0
1.763 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.763 * [backup-simplify]: Simplify 0 into 0
1.763 * [backup-simplify]: Simplify (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
1.763 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1))
1.763 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0
1.763 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x
1.763 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x
1.763 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.763 * [taylor]: Taking taylor expansion of x in x
1.764 * [backup-simplify]: Simplify 0 into 0
1.764 * [backup-simplify]: Simplify 1 into 1
1.764 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
1.764 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
1.764 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.764 * [taylor]: Taking taylor expansion of -1 in x
1.764 * [backup-simplify]: Simplify -1 into -1
1.764 * [taylor]: Taking taylor expansion of x in x
1.764 * [backup-simplify]: Simplify 0 into 0
1.764 * [backup-simplify]: Simplify 1 into 1
1.764 * [backup-simplify]: Simplify (/ -1 1) into -1
1.764 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
1.764 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
1.764 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.764 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.764 * [taylor]: Taking taylor expansion of -1 in x
1.764 * [backup-simplify]: Simplify -1 into -1
1.764 * [taylor]: Taking taylor expansion of x in x
1.764 * [backup-simplify]: Simplify 0 into 0
1.764 * [backup-simplify]: Simplify 1 into 1
1.765 * [backup-simplify]: Simplify (/ -1 1) into -1
1.765 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
1.765 * [taylor]: Taking taylor expansion of 1 in x
1.765 * [backup-simplify]: Simplify 1 into 1
1.765 * [backup-simplify]: Simplify (* 1 1) into 1
1.765 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
1.765 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2)
1.766 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
1.766 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
1.766 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x
1.766 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x
1.766 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.766 * [taylor]: Taking taylor expansion of x in x
1.766 * [backup-simplify]: Simplify 0 into 0
1.766 * [backup-simplify]: Simplify 1 into 1
1.766 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
1.766 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
1.766 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.766 * [taylor]: Taking taylor expansion of -1 in x
1.766 * [backup-simplify]: Simplify -1 into -1
1.766 * [taylor]: Taking taylor expansion of x in x
1.766 * [backup-simplify]: Simplify 0 into 0
1.766 * [backup-simplify]: Simplify 1 into 1
1.766 * [backup-simplify]: Simplify (/ -1 1) into -1
1.767 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
1.767 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
1.767 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.767 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.767 * [taylor]: Taking taylor expansion of -1 in x
1.767 * [backup-simplify]: Simplify -1 into -1
1.767 * [taylor]: Taking taylor expansion of x in x
1.767 * [backup-simplify]: Simplify 0 into 0
1.767 * [backup-simplify]: Simplify 1 into 1
1.767 * [backup-simplify]: Simplify (/ -1 1) into -1
1.767 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
1.767 * [taylor]: Taking taylor expansion of 1 in x
1.767 * [backup-simplify]: Simplify 1 into 1
1.768 * [backup-simplify]: Simplify (* 1 1) into 1
1.768 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
1.768 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2)
1.768 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
1.768 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
1.768 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
1.768 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
1.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0
1.770 * [backup-simplify]: Simplify (+ 0 0) into 0
1.770 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.770 * [backup-simplify]: Simplify 0 into 0
1.771 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
1.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0
1.773 * [backup-simplify]: Simplify (+ 0 0) into 0
1.773 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.773 * [backup-simplify]: Simplify 0 into 0
1.774 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
1.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0
1.776 * [backup-simplify]: Simplify (+ 0 0) into 0
1.777 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.777 * [backup-simplify]: Simplify 0 into 0
1.778 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
1.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0
1.780 * [backup-simplify]: Simplify (+ 0 0) into 0
1.781 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.781 * [backup-simplify]: Simplify 0 into 0
1.782 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
1.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0
1.786 * [backup-simplify]: Simplify (+ 0 0) into 0
1.786 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.786 * [backup-simplify]: Simplify 0 into 0
1.788 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
1.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
1.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0
1.792 * [backup-simplify]: Simplify (+ 0 0) into 0
1.792 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.793 * [backup-simplify]: Simplify 0 into 0
1.793 * [backup-simplify]: Simplify (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
1.793 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
1.793 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1)
1.793 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0
1.793 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
1.793 * [taylor]: Taking taylor expansion of (cos x) in x
1.793 * [taylor]: Taking taylor expansion of x in x
1.793 * [backup-simplify]: Simplify 0 into 0
1.793 * [backup-simplify]: Simplify 1 into 1
1.793 * [taylor]: Taking taylor expansion of 1 in x
1.793 * [backup-simplify]: Simplify 1 into 1
1.793 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
1.793 * [taylor]: Taking taylor expansion of (cos x) in x
1.793 * [taylor]: Taking taylor expansion of x in x
1.793 * [backup-simplify]: Simplify 0 into 0
1.793 * [backup-simplify]: Simplify 1 into 1
1.793 * [taylor]: Taking taylor expansion of 1 in x
1.793 * [backup-simplify]: Simplify 1 into 1
1.794 * [backup-simplify]: Simplify (+ 1 1) into 2
1.794 * [backup-simplify]: Simplify 2 into 2
1.794 * [backup-simplify]: Simplify (+ 0) into 0
1.794 * [backup-simplify]: Simplify (+ 0 0) into 0
1.794 * [backup-simplify]: Simplify 0 into 0
1.795 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
1.796 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
1.796 * [backup-simplify]: Simplify -1/2 into -1/2
1.797 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.797 * [backup-simplify]: Simplify (+ 0 0) into 0
1.797 * [backup-simplify]: Simplify 0 into 0
1.800 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
1.800 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24
1.800 * [backup-simplify]: Simplify 1/24 into 1/24
1.801 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2)) into (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2)))
1.801 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
1.801 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0
1.801 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
1.801 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.801 * [taylor]: Taking taylor expansion of x in x
1.801 * [backup-simplify]: Simplify 0 into 0
1.801 * [backup-simplify]: Simplify 1 into 1
1.801 * [backup-simplify]: Simplify (/ 1 1) into 1
1.801 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
1.801 * [taylor]: Taking taylor expansion of 1 in x
1.801 * [backup-simplify]: Simplify 1 into 1
1.801 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
1.801 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.801 * [taylor]: Taking taylor expansion of x in x
1.801 * [backup-simplify]: Simplify 0 into 0
1.801 * [backup-simplify]: Simplify 1 into 1
1.802 * [backup-simplify]: Simplify (/ 1 1) into 1
1.802 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
1.802 * [taylor]: Taking taylor expansion of 1 in x
1.802 * [backup-simplify]: Simplify 1 into 1
1.802 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
1.802 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
1.803 * [backup-simplify]: Simplify (+ 0 0) into 0
1.803 * [backup-simplify]: Simplify 0 into 0
1.803 * [backup-simplify]: Simplify (+ 0 0) into 0
1.803 * [backup-simplify]: Simplify 0 into 0
1.803 * [backup-simplify]: Simplify (+ 0 0) into 0
1.803 * [backup-simplify]: Simplify 0 into 0
1.804 * [backup-simplify]: Simplify (+ 0 0) into 0
1.804 * [backup-simplify]: Simplify 0 into 0
1.804 * [backup-simplify]: Simplify (+ 0 0) into 0
1.804 * [backup-simplify]: Simplify 0 into 0
1.804 * [backup-simplify]: Simplify (+ 0 0) into 0
1.804 * [backup-simplify]: Simplify 0 into 0
1.805 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1)
1.805 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1)
1.805 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0
1.805 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
1.805 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.805 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.805 * [taylor]: Taking taylor expansion of -1 in x
1.805 * [backup-simplify]: Simplify -1 into -1
1.805 * [taylor]: Taking taylor expansion of x in x
1.805 * [backup-simplify]: Simplify 0 into 0
1.805 * [backup-simplify]: Simplify 1 into 1
1.805 * [backup-simplify]: Simplify (/ -1 1) into -1
1.805 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
1.805 * [taylor]: Taking taylor expansion of 1 in x
1.805 * [backup-simplify]: Simplify 1 into 1
1.805 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
1.805 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.805 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.805 * [taylor]: Taking taylor expansion of -1 in x
1.806 * [backup-simplify]: Simplify -1 into -1
1.806 * [taylor]: Taking taylor expansion of x in x
1.806 * [backup-simplify]: Simplify 0 into 0
1.806 * [backup-simplify]: Simplify 1 into 1
1.806 * [backup-simplify]: Simplify (/ -1 1) into -1
1.806 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
1.806 * [taylor]: Taking taylor expansion of 1 in x
1.806 * [backup-simplify]: Simplify 1 into 1
1.806 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
1.806 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
1.807 * [backup-simplify]: Simplify (+ 0 0) into 0
1.807 * [backup-simplify]: Simplify 0 into 0
1.807 * [backup-simplify]: Simplify (+ 0 0) into 0
1.807 * [backup-simplify]: Simplify 0 into 0
1.807 * [backup-simplify]: Simplify (+ 0 0) into 0
1.807 * [backup-simplify]: Simplify 0 into 0
1.808 * [backup-simplify]: Simplify (+ 0 0) into 0
1.808 * [backup-simplify]: Simplify 0 into 0
1.808 * [backup-simplify]: Simplify (+ 0 0) into 0
1.808 * [backup-simplify]: Simplify 0 into 0
1.809 * [backup-simplify]: Simplify (+ 0 0) into 0
1.809 * [backup-simplify]: Simplify 0 into 0
1.809 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1)
1.809 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
1.809 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2)
1.809 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0
1.809 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
1.809 * [taylor]: Taking taylor expansion of (sin x) in x
1.809 * [taylor]: Taking taylor expansion of x in x
1.809 * [backup-simplify]: Simplify 0 into 0
1.809 * [backup-simplify]: Simplify 1 into 1
1.810 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.810 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
1.810 * [taylor]: Taking taylor expansion of (sin x) in x
1.810 * [taylor]: Taking taylor expansion of x in x
1.810 * [backup-simplify]: Simplify 0 into 0
1.810 * [backup-simplify]: Simplify 1 into 1
1.810 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.811 * [backup-simplify]: Simplify (* 1 1) into 1
1.811 * [backup-simplify]: Simplify 1 into 1
1.812 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.812 * [backup-simplify]: Simplify 0 into 0
1.813 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
1.814 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
1.814 * [backup-simplify]: Simplify -1/3 into -1/3
1.816 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
1.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
1.817 * [backup-simplify]: Simplify 0 into 0
1.820 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
1.821 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
1.821 * [backup-simplify]: Simplify 2/45 into 2/45
1.822 * [backup-simplify]: Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (pow x 2)))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4)))
1.822 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
1.822 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0
1.822 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
1.822 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
1.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.822 * [taylor]: Taking taylor expansion of x in x
1.822 * [backup-simplify]: Simplify 0 into 0
1.822 * [backup-simplify]: Simplify 1 into 1
1.822 * [backup-simplify]: Simplify (/ 1 1) into 1
1.823 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
1.823 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
1.823 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
1.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.823 * [taylor]: Taking taylor expansion of x in x
1.823 * [backup-simplify]: Simplify 0 into 0
1.823 * [backup-simplify]: Simplify 1 into 1
1.823 * [backup-simplify]: Simplify (/ 1 1) into 1
1.823 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
1.823 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
1.823 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2)
1.823 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
1.824 * [backup-simplify]: Simplify 0 into 0
1.824 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
1.824 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
1.825 * [backup-simplify]: Simplify 0 into 0
1.826 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
1.826 * [backup-simplify]: Simplify 0 into 0
1.827 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
1.827 * [backup-simplify]: Simplify 0 into 0
1.829 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
1.829 * [backup-simplify]: Simplify 0 into 0
1.829 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2)
1.829 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2)
1.829 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0
1.829 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
1.829 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
1.830 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.830 * [taylor]: Taking taylor expansion of -1 in x
1.830 * [backup-simplify]: Simplify -1 into -1
1.830 * [taylor]: Taking taylor expansion of x in x
1.830 * [backup-simplify]: Simplify 0 into 0
1.830 * [backup-simplify]: Simplify 1 into 1
1.830 * [backup-simplify]: Simplify (/ -1 1) into -1
1.830 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
1.830 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
1.830 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
1.830 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.830 * [taylor]: Taking taylor expansion of -1 in x
1.830 * [backup-simplify]: Simplify -1 into -1
1.830 * [taylor]: Taking taylor expansion of x in x
1.830 * [backup-simplify]: Simplify 0 into 0
1.830 * [backup-simplify]: Simplify 1 into 1
1.831 * [backup-simplify]: Simplify (/ -1 1) into -1
1.831 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
1.831 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
1.831 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2)
1.831 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
1.831 * [backup-simplify]: Simplify 0 into 0
1.832 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
1.832 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
1.833 * [backup-simplify]: Simplify 0 into 0
1.834 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
1.834 * [backup-simplify]: Simplify 0 into 0
1.835 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
1.835 * [backup-simplify]: Simplify 0 into 0
1.837 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
1.837 * [backup-simplify]: Simplify 0 into 0
1.837 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2)
1.837 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
1.838 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1))
1.838 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0
1.838 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x
1.838 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
1.838 * [taylor]: Taking taylor expansion of (sin x) in x
1.838 * [taylor]: Taking taylor expansion of x in x
1.838 * [backup-simplify]: Simplify 0 into 0
1.838 * [backup-simplify]: Simplify 1 into 1
1.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.838 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
1.839 * [taylor]: Taking taylor expansion of (cos x) in x
1.839 * [taylor]: Taking taylor expansion of x in x
1.839 * [backup-simplify]: Simplify 0 into 0
1.839 * [backup-simplify]: Simplify 1 into 1
1.839 * [taylor]: Taking taylor expansion of 1 in x
1.839 * [backup-simplify]: Simplify 1 into 1
1.839 * [backup-simplify]: Simplify (* 1 1) into 1
1.839 * [backup-simplify]: Simplify (+ 1 1) into 2
1.840 * [backup-simplify]: Simplify (/ 1 2) into 1/2
1.840 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x
1.840 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
1.840 * [taylor]: Taking taylor expansion of (sin x) in x
1.840 * [taylor]: Taking taylor expansion of x in x
1.840 * [backup-simplify]: Simplify 0 into 0
1.840 * [backup-simplify]: Simplify 1 into 1
1.841 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.841 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
1.841 * [taylor]: Taking taylor expansion of (cos x) in x
1.841 * [taylor]: Taking taylor expansion of x in x
1.841 * [backup-simplify]: Simplify 0 into 0
1.841 * [backup-simplify]: Simplify 1 into 1
1.841 * [taylor]: Taking taylor expansion of 1 in x
1.841 * [backup-simplify]: Simplify 1 into 1
1.841 * [backup-simplify]: Simplify (* 1 1) into 1
1.841 * [backup-simplify]: Simplify (+ 1 1) into 2
1.842 * [backup-simplify]: Simplify (/ 1 2) into 1/2
1.842 * [backup-simplify]: Simplify 1/2 into 1/2
1.843 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.844 * [backup-simplify]: Simplify (+ 0) into 0
1.844 * [backup-simplify]: Simplify (+ 0 0) into 0
1.845 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
1.845 * [backup-simplify]: Simplify 0 into 0
1.846 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
1.847 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
1.848 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
1.849 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
1.850 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24
1.850 * [backup-simplify]: Simplify -1/24 into -1/24
1.851 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
1.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
1.854 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.854 * [backup-simplify]: Simplify (+ 0 0) into 0
1.855 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0
1.856 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
1.860 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
1.863 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
1.863 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24
1.865 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720
1.865 * [backup-simplify]: Simplify 1/720 into 1/720
1.865 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4)))
1.866 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
1.866 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0
1.866 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x
1.866 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
1.866 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
1.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.866 * [taylor]: Taking taylor expansion of x in x
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [backup-simplify]: Simplify 1 into 1
1.866 * [backup-simplify]: Simplify (/ 1 1) into 1
1.866 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
1.866 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
1.866 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.866 * [taylor]: Taking taylor expansion of x in x
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [backup-simplify]: Simplify 1 into 1
1.867 * [backup-simplify]: Simplify (/ 1 1) into 1
1.867 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
1.867 * [taylor]: Taking taylor expansion of 1 in x
1.867 * [backup-simplify]: Simplify 1 into 1
1.867 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
1.867 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
1.867 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
1.867 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x
1.867 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
1.867 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
1.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.867 * [taylor]: Taking taylor expansion of x in x
1.867 * [backup-simplify]: Simplify 0 into 0
1.867 * [backup-simplify]: Simplify 1 into 1
1.868 * [backup-simplify]: Simplify (/ 1 1) into 1
1.868 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
1.868 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
1.868 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.868 * [taylor]: Taking taylor expansion of x in x
1.868 * [backup-simplify]: Simplify 0 into 0
1.868 * [backup-simplify]: Simplify 1 into 1
1.868 * [backup-simplify]: Simplify (/ 1 1) into 1
1.868 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
1.868 * [taylor]: Taking taylor expansion of 1 in x
1.868 * [backup-simplify]: Simplify 1 into 1
1.868 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
1.869 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
1.869 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
1.869 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
1.869 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
1.869 * [backup-simplify]: Simplify (+ 0 0) into 0
1.870 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
1.871 * [backup-simplify]: Simplify (+ 0 0) into 0
1.871 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.871 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
1.872 * [backup-simplify]: Simplify (+ 0 0) into 0
1.873 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.873 * [backup-simplify]: Simplify 0 into 0
1.874 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
1.874 * [backup-simplify]: Simplify (+ 0 0) into 0
1.875 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.875 * [backup-simplify]: Simplify 0 into 0
1.878 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
1.878 * [backup-simplify]: Simplify (+ 0 0) into 0
1.879 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.879 * [backup-simplify]: Simplify 0 into 0
1.881 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
1.881 * [backup-simplify]: Simplify (+ 0 0) into 0
1.882 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1))
1.882 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
1.882 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0
1.882 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x
1.882 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
1.882 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
1.882 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.882 * [taylor]: Taking taylor expansion of -1 in x
1.882 * [backup-simplify]: Simplify -1 into -1
1.882 * [taylor]: Taking taylor expansion of x in x
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [backup-simplify]: Simplify 1 into 1
1.883 * [backup-simplify]: Simplify (/ -1 1) into -1
1.883 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
1.883 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
1.883 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.883 * [taylor]: Taking taylor expansion of -1 in x
1.883 * [backup-simplify]: Simplify -1 into -1
1.883 * [taylor]: Taking taylor expansion of x in x
1.883 * [backup-simplify]: Simplify 0 into 0
1.883 * [backup-simplify]: Simplify 1 into 1
1.883 * [backup-simplify]: Simplify (/ -1 1) into -1
1.884 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
1.884 * [taylor]: Taking taylor expansion of 1 in x
1.884 * [backup-simplify]: Simplify 1 into 1
1.884 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
1.884 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
1.884 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
1.884 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x
1.884 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
1.884 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
1.884 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.884 * [taylor]: Taking taylor expansion of -1 in x
1.884 * [backup-simplify]: Simplify -1 into -1
1.884 * [taylor]: Taking taylor expansion of x in x
1.884 * [backup-simplify]: Simplify 0 into 0
1.884 * [backup-simplify]: Simplify 1 into 1
1.885 * [backup-simplify]: Simplify (/ -1 1) into -1
1.885 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
1.885 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
1.885 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.885 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.885 * [taylor]: Taking taylor expansion of -1 in x
1.885 * [backup-simplify]: Simplify -1 into -1
1.885 * [taylor]: Taking taylor expansion of x in x
1.885 * [backup-simplify]: Simplify 0 into 0
1.885 * [backup-simplify]: Simplify 1 into 1
1.885 * [backup-simplify]: Simplify (/ -1 1) into -1
1.885 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
1.885 * [taylor]: Taking taylor expansion of 1 in x
1.885 * [backup-simplify]: Simplify 1 into 1
1.885 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
1.886 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
1.886 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
1.886 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
1.886 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
1.886 * [backup-simplify]: Simplify (+ 0 0) into 0
1.887 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.887 * [backup-simplify]: Simplify 0 into 0
1.887 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
1.888 * [backup-simplify]: Simplify (+ 0 0) into 0
1.888 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.888 * [backup-simplify]: Simplify 0 into 0
1.889 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
1.889 * [backup-simplify]: Simplify (+ 0 0) into 0
1.890 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.890 * [backup-simplify]: Simplify 0 into 0
1.891 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
1.891 * [backup-simplify]: Simplify (+ 0 0) into 0
1.892 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.892 * [backup-simplify]: Simplify 0 into 0
1.893 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
1.893 * [backup-simplify]: Simplify (+ 0 0) into 0
1.894 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.894 * [backup-simplify]: Simplify 0 into 0
1.896 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
1.896 * [backup-simplify]: Simplify (+ 0 0) into 0
1.897 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
1.897 * [backup-simplify]: Simplify 0 into 0
1.897 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1))
1.897 * * * [progress]: simplifying candidates
1.897 * * * * [progress]: [ 1 / 138 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
1.897 * * * * [progress]: [ 2 / 138 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
1.897 * * * * [progress]: [ 3 / 138 ] simplifiying candidate #<alt (λ (x) (pow (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) 1))>
1.897 * * * * [progress]: [ 4 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x)))))>
1.897 * * * * [progress]: [ 5 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x)))))>
1.898 * * * * [progress]: [ 6 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x)))))>
1.898 * * * * [progress]: [ 7 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x)))))>
1.898 * * * * [progress]: [ 8 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x)))))>
1.898 * * * * [progress]: [ 9 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x)))))>
1.898 * * * * [progress]: [ 10 / 138 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
1.898 * * * * [progress]: [ 11 / 138 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
1.898 * * * * [progress]: [ 12 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x)))))>
1.898 * * * * [progress]: [ 13 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))))>
1.898 * * * * [progress]: [ 14 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x)))))>
1.898 * * * * [progress]: [ 15 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))))>
1.898 * * * * [progress]: [ 16 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x)))))>
1.898 * * * * [progress]: [ 17 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))))>
1.898 * * * * [progress]: [ 18 / 138 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
1.898 * * * * [progress]: [ 19 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
1.898 * * * * [progress]: [ 20 / 138 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
1.898 * * * * [progress]: [ 21 / 138 ] simplifiying candidate #<alt (λ (x) (/ (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x))))>
1.899 * * * * [progress]: [ 22 / 138 ] simplifiying candidate #<alt (λ (x) (- (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x))))>
1.899 * * * * [progress]: [ 23 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)))>
1.899 * * * * [progress]: [ 24 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)))>
1.899 * * * * [progress]: [ 25 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x) (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x)))>
1.899 * * * * [progress]: [ 26 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
1.899 * * * * [progress]: [ 27 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x)))>
1.899 * * * * [progress]: [ 28 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x)))>
1.899 * * * * [progress]: [ 29 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ 1 x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x)))>
1.899 * * * * [progress]: [ 30 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (* (sin x) (sin x)) x) (/ (/ 1 (+ 1 (cos x))) x)))>
1.899 * * * * [progress]: [ 31 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x) (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x)))>
1.899 * * * * [progress]: [ 32 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x) (/ (- 1 (cos x)) x)))>
1.899 * * * * [progress]: [ 33 / 138 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))))>
1.899 * * * * [progress]: [ 34 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ 1 (* x x))))>
1.899 * * * * [progress]: [ 35 / 138 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))))>
1.899 * * * * [progress]: [ 36 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) x))>
1.899 * * * * [progress]: [ 37 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))))>
1.899 * * * * [progress]: [ 38 / 138 ] simplifiying candidate #<alt (λ (x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))))>
1.899 * * * * [progress]: [ 39 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x)))))))>
1.900 * * * * [progress]: [ 40 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x)))))))>
1.900 * * * * [progress]: [ 41 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (/ (* x x) (/ (sin x) (+ 1 (cos x))))))>
1.900 * * * * [progress]: [ 42 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (/ (* x x) (/ (sin x) (+ 1 (cos x))))))>
1.900 * * * * [progress]: [ 43 / 138 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))))>
1.900 * * * * [progress]: [ 44 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin x)) (/ (* x x) (/ 1 (+ 1 (cos x))))))>
1.900 * * * * [progress]: [ 45 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))))>
1.900 * * * * [progress]: [ 46 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (/ (* x x) (- 1 (cos x)))))>
1.900 * * * * [progress]: [ 47 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin x)) (* (* x x) (+ 1 (cos x)))))>
1.900 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #<alt (λ (x) (posit16->real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
1.900 * * * * [progress]: [ 49 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (log1p (expm1 (+ 1 (cos x))))) (* x x)))>
1.900 * * * * [progress]: [ 50 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (expm1 (log1p (+ 1 (cos x))))) (* x x)))>
1.900 * * * * [progress]: [ 51 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (cos x))) (* x x)))>
1.900 * * * * [progress]: [ 52 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (fma (sqrt 1) (sqrt 1) (cos x))) (* x x)))>
1.900 * * * * [progress]: [ 53 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (fma 1 1 (cos x))) (* x x)))>
1.900 * * * * [progress]: [ 54 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (log (* (exp 1) (exp (cos x))))) (* x x)))>
1.900 * * * * [progress]: [ 55 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (pow (+ 1 (cos x)) 1)) (* x x)))>
1.900 * * * * [progress]: [ 56 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (exp (log (+ 1 (cos x))))) (* x x)))>
1.900 * * * * [progress]: [ 57 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (log (exp (+ 1 (cos x))))) (* x x)))>
1.901 * * * * [progress]: [ 58 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (* (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x))))) (* x x)))>
1.901 * * * * [progress]: [ 59 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (cbrt (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
1.901 * * * * [progress]: [ 60 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (* (sqrt (+ 1 (cos x))) (sqrt (+ 1 (cos x))))) (* x x)))>
1.901 * * * * [progress]: [ 61 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (/ (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))) (* x x)))>
1.901 * * * * [progress]: [ 62 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (* 1 (+ 1 (cos x)))) (* x x)))>
1.901 * * * * [progress]: [ 63 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (/ (- (* 1 1) (* (cos x) (cos x))) (- 1 (cos x)))) (* x x)))>
1.901 * * * * [progress]: [ 64 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (* 1 (+ 1 (cos x)))) (* x x)))>
1.901 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (posit16->real (real->posit16 (+ 1 (cos x))))) (* x x)))>
1.901 * * * * [progress]: [ 66 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
1.901 * * * * [progress]: [ 67 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (log1p (expm1 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
1.901 * * * * [progress]: [ 68 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (expm1 (log1p (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
1.901 * * * * [progress]: [ 69 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x))) (* x x)))>
1.901 * * * * [progress]: [ 70 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (- (cos (- x x)) (cos (+ x x))) 2) (+ 1 (cos x))) (* x x)))>
1.901 * * * * [progress]: [ 71 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) (+ 1 1)) (+ 1 (cos x))) (* x x)))>
1.901 * * * * [progress]: [ 72 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
1.901 * * * * [progress]: [ 73 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
1.901 * * * * [progress]: [ 74 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) (+ 1 1)) (+ 1 (cos x))) (* x x)))>
1.901 * * * * [progress]: [ 75 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
1.901 * * * * [progress]: [ 76 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (exp (+ (log (sin x)) (log (sin x)))) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 77 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (exp (log (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 78 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (log (exp (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 79 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (cbrt (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x)))) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 80 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) (cbrt (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 81 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (cbrt (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 82 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sqrt (* (sin x) (sin x))) (sqrt (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 83 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* 1 (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 84 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 85 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sqrt (sin x)) (sqrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x)))) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 86 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* 1 1) (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 87 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sqrt (sin x)) (sqrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x)))) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 88 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) (* 2 1)) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 89 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (sin x))) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 90 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sin x) (sqrt (sin x))) (sqrt (sin x))) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 91 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sin x) 1) (sin x)) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 92 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (sin x))) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 93 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sqrt (sin x)) (* (sqrt (sin x)) (sin x))) (+ 1 (cos x))) (* x x)))>
1.902 * * * * [progress]: [ 94 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* 1 (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
1.903 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (posit16->real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
1.903 * * * * [progress]: [ 96 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
1.903 * * * * [progress]: [ 97 / 138 ] simplifiying candidate #<alt (λ (x) (/ (log1p (expm1 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
1.903 * * * * [progress]: [ 98 / 138 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
1.903 * * * * [progress]: [ 99 / 138 ] simplifiying candidate #<alt (λ (x) (/ (pow (/ (* (sin x) (sin x)) (+ 1 (cos x))) 1) (* x x)))>
1.903 * * * * [progress]: [ 100 / 138 ] simplifiying candidate #<alt (λ (x) (/ (exp (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))) (* x x)))>
1.903 * * * * [progress]: [ 101 / 138 ] simplifiying candidate #<alt (λ (x) (/ (exp (- (log (* (sin x) (sin x))) (log (+ 1 (cos x))))) (* x x)))>
1.903 * * * * [progress]: [ 102 / 138 ] simplifiying candidate #<alt (λ (x) (/ (exp (log (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
1.903 * * * * [progress]: [ 103 / 138 ] simplifiying candidate #<alt (λ (x) (/ (log (exp (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
1.903 * * * * [progress]: [ 104 / 138 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
1.903 * * * * [progress]: [ 105 / 138 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
1.903 * * * * [progress]: [ 106 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
1.903 * * * * [progress]: [ 107 / 138 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
1.903 * * * * [progress]: [ 108 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
1.903 * * * * [progress]: [ 109 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (* (sin x) (sin x))) (- (+ 1 (cos x)))) (* x x)))>
1.903 * * * * [progress]: [ 110 / 138 ] simplifiying candidate #<alt (λ (x) (/ (- (/ 1/2 (+ 1 (cos x))) (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x)))) (* x x)))>
1.903 * * * * [progress]: [ 111 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (sin x) (cbrt (+ 1 (cos x))))) (* x x)))>
1.903 * * * * [progress]: [ 112 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x))))) (* x x)))>
1.903 * * * * [progress]: [ 113 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) 1) (/ (sin x) (+ 1 (cos x)))) (* x x)))>
1.904 * * * * [progress]: [ 114 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) 1) (/ (sin x) (+ 1 (cos x)))) (* x x)))>
1.904 * * * * [progress]: [ 115 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* x x)))>
1.904 * * * * [progress]: [ 116 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (sin x)) (/ 1 (+ 1 (cos x)))) (* x x)))>
1.904 * * * * [progress]: [ 117 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (/ (+ 1 (cos x)) (* (sin x) (sin x)))) (* x x)))>
1.904 * * * * [progress]: [ 118 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (cbrt (+ 1 (cos x)))) (* x x)))>
1.904 * * * * [progress]: [ 119 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (sqrt (+ 1 (cos x)))) (* x x)))>
1.904 * * * * [progress]: [ 120 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
1.904 * * * * [progress]: [ 121 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
1.904 * * * * [progress]: [ 122 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (* x x)))>
1.904 * * * * [progress]: [ 123 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) (* x x)))>
1.904 * * * * [progress]: [ 124 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (- 1 (cos x))) (* x x)))>
1.904 * * * * [progress]: [ 125 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (cos (- x x)) (cos (+ x x))) (* (+ 1 (cos x)) 2)) (* x x)))>
1.904 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #<alt (λ (x) (/ (posit16->real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
1.904 * * * * [progress]: [ 127 / 138 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
1.904 * * * * [progress]: [ 128 / 138 ] simplifiying candidate #<alt (λ (x) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))))>
1.904 * * * * [progress]: [ 129 / 138 ] simplifiying candidate #<alt (λ (x) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))))>
1.904 * * * * [progress]: [ 130 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2)))) (* x x)))>
1.904 * * * * [progress]: [ 131 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
1.905 * * * * [progress]: [ 132 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
1.905 * * * * [progress]: [ 133 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (+ 1 (cos x))) (* x x)))>
1.905 * * * * [progress]: [ 134 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
1.905 * * * * [progress]: [ 135 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
1.905 * * * * [progress]: [ 136 / 138 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)))>
1.905 * * * * [progress]: [ 137 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)))>
1.905 * * * * [progress]: [ 138 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)))>
1.907 * [simplify]: Simplifying:
  (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
  (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
  (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x)))
  (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x)))
  (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x)))
  (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x)))
  (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x)))
  (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x)))
  (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
  (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
  (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x)))
  (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))
  (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x)))
  (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))
  (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x)))
  (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))
  (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))))
  (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
  (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
  (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
  (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
  (- (/ (* (sin x) (sin x)) (+ 1 (cos x))))
  (- (* x x))
  (/ (/ 1/2 (+ 1 (cos x))) (* x x))
  (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x))
  (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x)
  (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)
  (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)
  (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)
  (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x)
  (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x)
  (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)
  (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)
  (/ (/ (sin x) 1) x)
  (/ (/ (sin x) (+ 1 (cos x))) x)
  (/ (/ (sin x) 1) x)
  (/ (/ (sin x) (+ 1 (cos x))) x)
  (/ 1 x)
  (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x)
  (/ (* (sin x) (sin x)) x)
  (/ (/ 1 (+ 1 (cos x))) x)
  (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x)
  (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x)
  (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x)
  (/ (- 1 (cos x)) x)
  (/ 1 (* x x))
  (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))
  (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x)
  (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
  (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
  (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x)))))
  (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x)))))
  (/ (* x x) (/ (sin x) (+ 1 (cos x))))
  (/ (* x x) (/ (sin x) (+ 1 (cos x))))
  (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))
  (/ (* x x) (/ 1 (+ 1 (cos x))))
  (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))
  (/ (* x x) (- 1 (cos x)))
  (* (* x x) (+ 1 (cos x)))
  (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
  (expm1 (+ 1 (cos x)))
  (log1p (+ 1 (cos x)))
  (* (exp 1) (exp (cos x)))
  (log (+ 1 (cos x)))
  (exp (+ 1 (cos x)))
  (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))
  (cbrt (+ 1 (cos x)))
  (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))
  (sqrt (+ 1 (cos x)))
  (sqrt (+ 1 (cos x)))
  (+ (pow 1 3) (pow (cos x) 3))
  (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))
  (- (* 1 1) (* (cos x) (cos x)))
  (- 1 (cos x))
  (+ 1 (cos x))
  (real->posit16 (+ 1 (cos x)))
  (expm1 (* (sin x) (sin x)))
  (log1p (* (sin x) (sin x)))
  (* 1/2 (cos (* 2 x)))
  (- (cos (- x x)) (cos (+ x x)))
  (+ 1 1)
  (* (sin x) (sin x))
  (+ 1 1)
  (+ (log (sin x)) (log (sin x)))
  (log (* (sin x) (sin x)))
  (exp (* (sin x) (sin x)))
  (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x)))
  (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x))))
  (cbrt (* (sin x) (sin x)))
  (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x)))
  (sqrt (* (sin x) (sin x)))
  (sqrt (* (sin x) (sin x)))
  (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x))))
  (* (cbrt (sin x)) (cbrt (sin x)))
  (* (sqrt (sin x)) (sqrt (sin x)))
  (* (sqrt (sin x)) (sqrt (sin x)))
  (* 1 1)
  (* (sin x) (sin x))
  (* (sqrt (sin x)) (sqrt (sin x)))
  (* (sqrt (sin x)) (sqrt (sin x)))
  (* 2 1)
  (* (sin x) (* (cbrt (sin x)) (cbrt (sin x))))
  (* (sin x) (sqrt (sin x)))
  (* (sin x) 1)
  (* (cbrt (sin x)) (sin x))
  (* (sqrt (sin x)) (sin x))
  (* (sin x) (sin x))
  (real->posit16 (* (sin x) (sin x)))
  (expm1 (/ (* (sin x) (sin x)) (+ 1 (cos x))))
  (log1p (/ (* (sin x) (sin x)) (+ 1 (cos x))))
  (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))
  (- (log (* (sin x) (sin x))) (log (+ 1 (cos x))))
  (log (/ (* (sin x) (sin x)) (+ 1 (cos x))))
  (exp (/ (* (sin x) (sin x)) (+ 1 (cos x))))
  (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))
  (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))
  (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
  (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))
  (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x))))
  (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))
  (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))
  (- (* (sin x) (sin x)))
  (- (+ 1 (cos x)))
  (/ 1/2 (+ 1 (cos x)))
  (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x)))
  (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))
  (/ (sin x) (cbrt (+ 1 (cos x))))
  (/ (sin x) (sqrt (+ 1 (cos x))))
  (/ (sin x) (sqrt (+ 1 (cos x))))
  (/ (sin x) 1)
  (/ (sin x) (+ 1 (cos x)))
  (/ (sin x) 1)
  (/ (sin x) (+ 1 (cos x)))
  (/ 1 (+ 1 (cos x)))
  (/ (+ 1 (cos x)) (* (sin x) (sin x)))
  (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))
  (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x))))
  (/ (* (sin x) (sin x)) 1)
  (/ (* (sin x) (sin x)) 1)
  (/ (+ 1 (cos x)) (sin x))
  (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3)))
  (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x))))
  (* (+ 1 (cos x)) 2)
  (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))
  (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))
  (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
  (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
  (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2)))
  (+ (cos x) 1)
  (+ (cos x) 1)
  (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4)))
  (pow (sin x) 2)
  (pow (sin x) 2)
  (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4)))
  (/ (pow (sin x) 2) (+ (cos x) 1))
  (/ (pow (sin x) 2) (+ (cos x) 1))
1.909 * * [simplify]: iteration 0: 190 enodes
1.971 * * [simplify]: iteration 1: 525 enodes
2.249 * * [simplify]: iteration 2: 1777 enodes
2.719 * * [simplify]: iteration 3: 2000 enodes
3.105 * * [simplify]: iteration complete: 2000 enodes
3.105 * * [simplify]: Extracting #0: cost 108 inf + 0
3.107 * * [simplify]: Extracting #1: cost 513 inf + 2
3.109 * * [simplify]: Extracting #2: cost 664 inf + 3435
3.118 * * [simplify]: Extracting #3: cost 374 inf + 58162
3.145 * * [simplify]: Extracting #4: cost 86 inf + 145991
3.196 * * [simplify]: Extracting #5: cost 1 inf + 171989
3.250 * * [simplify]: Extracting #6: cost 0 inf + 171087
3.293 * [simplify]: Simplified to:
  (expm1 (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
  (log1p (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
  (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
  (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
  (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
  (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
  (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
  (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
  (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
  (exp (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
  (/ (/ (/ (/ (* (sin x) (* (sin x) (sin x))) (+ (cos x) 1)) (+ (cos x) 1)) (/ (* (* x x) (* x x)) (/ (* (sin x) (* (sin x) (sin x))) (+ (cos x) 1)))) (* x x))
  (/ (/ (/ (/ (* (sin x) (* (sin x) (sin x))) (+ (cos x) 1)) (+ (cos x) 1)) (/ (* (* x x) (* x x)) (/ (* (sin x) (* (sin x) (sin x))) (+ (cos x) 1)))) (* x x))
  (/ (* (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (* (sin x) (sin x)) (+ (cos x) 1)))) (* (* x (* x x)) (* x (* x x))))
  (/ (* (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (* (sin x) (sin x)) (+ (cos x) 1)))) (* (* x (* x x)) (* x (* x x))))
  (* (* (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
  (* (* (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
  (* (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))))
  (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
  (* (* (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
  (sqrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
  (sqrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
  (/ (- (* (sin x) (sin x))) (+ (cos x) 1))
  (- (* x x))
  (/ 1/2 (fma (* x x) (cos x) (* x x)))
  (/ (cos (+ x x)) (/ (fma (* x x) (cos x) (* x x)) 1/2))
  (* (/ (cbrt (* (/ (sin x) (+ (cos x) 1)) (sin x))) x) (cbrt (* (/ (sin x) (+ (cos x) 1)) (sin x))))
  (/ (cbrt (* (/ (sin x) (+ (cos x) 1)) (sin x))) x)
  (/ (sqrt (* (/ (sin x) (+ (cos x) 1)) (sin x))) x)
  (/ (sqrt (* (/ (sin x) (+ (cos x) 1)) (sin x))) x)
  (/ (/ (sin x) (* (cbrt (+ (cos x) 1)) (cbrt (+ (cos x) 1)))) x)
  (/ (/ (sin x) x) (cbrt (+ (cos x) 1)))
  (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
  (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
  (/ (sin x) x)
  (/ (tan (/ x 2)) x)
  (/ (sin x) x)
  (/ (tan (/ x 2)) x)
  (/ 1 x)
  (/ (/ (* (sin x) (sin x)) x) (+ (cos x) 1))
  (* (/ (sin x) x) (sin x))
  (/ (/ 1 x) (+ (cos x) 1))
  (/ (* (sin x) (sin x)) (fma x (* (* (cos x) (cos x)) (cos x)) x))
  (/ (- (fma (cos x) (cos x) 1) (cos x)) x)
  (/ (* (sin x) (sin x)) (* x (* (sin x) (sin x))))
  (/ (- 1 (cos x)) x)
  (/ 1 (* x x))
  (* (/ (* x x) (* (sin x) (sin x))) (+ (cos x) 1))
  (/ (/ (* (sin x) (sin x)) x) (+ (cos x) 1))
  (* (/ x (cbrt (* (/ (sin x) (+ (cos x) 1)) (sin x)))) x)
  (/ (* x x) (sqrt (* (/ (sin x) (+ (cos x) 1)) (sin x))))
  (* (/ (* x x) (sin x)) (cbrt (+ (cos x) 1)))
  (* (sqrt (+ (cos x) 1)) (/ (* x x) (sin x)))
  (/ (* x x) (tan (/ x 2)))
  (/ (* x x) (tan (/ x 2)))
  (* (/ (* x x) (* (sin x) (sin x))) (+ (cos x) 1))
  (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))
  (real->posit16 (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
  (expm1 (+ (cos x) 1))
  (log1p (+ (cos x) 1))
  (* E (exp (cos x)))
  (log1p (cos x))
  (* E (exp (cos x)))
  (* (cbrt (+ (cos x) 1)) (cbrt (+ (cos x) 1)))
  (cbrt (+ (cos x) 1))
  (* (* (+ (cos x) 1) (+ (cos x) 1)) (+ (cos x) 1))
  (sqrt (+ (cos x) 1))
  (sqrt (+ (cos x) 1))
  (fma (cos x) (* (cos x) (cos x)) 1)
  (- (fma (cos x) (cos x) 1) (cos x))
  (* (sin x) (sin x))
  (- 1 (cos x))
  (+ (cos x) 1)
  (real->posit16 (+ (cos x) 1))
  (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))
  (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x))))
  (* (cbrt (sin x)) (cbrt (sin x)))
  (sin x)
  (sin x)
  1
  (* (sin x) (sin x))
  (sin x)
  (sin x)
  2
  (* (* (cbrt (sin x)) (cbrt (sin x))) (sin x))
  (* (sin x) (sqrt (sin x)))
  (sin x)
  (* (sin x) (cbrt (sin x)))
  (* (sin x) (sqrt (sin x)))
  (* (sin x) (sin x))
  (real->posit16 (* (sin x) (sin x)))
  (expm1 (* (/ (sin x) (+ (cos x) 1)) (sin x)))
  (log1p (* (/ (sin x) (+ (cos x) 1)) (sin x)))
  (log (* (/ (sin x) (+ (cos x) 1)) (sin x)))
  (log (* (/ (sin x) (+ (cos x) 1)) (sin x)))
  (log (* (/ (sin x) (+ (cos x) 1)) (sin x)))
  (exp (* (/ (sin x) (+ (cos x) 1)) (sin x)))
  (* (/ (* (sin x) (* (sin x) (sin x))) (+ (cos x) 1)) (/ (/ (* (sin x) (* (sin x) (sin x))) (+ (cos x) 1)) (+ (cos x) 1)))
  (* (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (* (sin x) (sin x)) (+ (cos x) 1))))
  (* (cbrt (* (/ (sin x) (+ (cos x) 1)) (sin x))) (cbrt (* (/ (sin x) (+ (cos x) 1)) (sin x))))
  (cbrt (* (/ (sin x) (+ (cos x) 1)) (sin x)))
  (* (* (/ (sin x) (+ (cos x) 1)) (sin x)) (* (* (/ (sin x) (+ (cos x) 1)) (sin x)) (* (/ (sin x) (+ (cos x) 1)) (sin x))))
  (sqrt (* (/ (sin x) (+ (cos x) 1)) (sin x)))
  (sqrt (* (/ (sin x) (+ (cos x) 1)) (sin x)))
  (* (sin x) (- (sin x)))
  (- -1 (cos x))
  (/ 1/2 (+ (cos x) 1))
  (* (/ 1/2 (+ (cos x) 1)) (cos (+ x x)))
  (/ (sin x) (* (cbrt (+ (cos x) 1)) (cbrt (+ (cos x) 1))))
  (/ (sin x) (cbrt (+ (cos x) 1)))
  (/ (sin x) (sqrt (+ (cos x) 1)))
  (/ (sin x) (sqrt (+ (cos x) 1)))
  (sin x)
  (tan (/ x 2))
  (sin x)
  (tan (/ x 2))
  (/ 1 (+ (cos x) 1))
  (/ (+ (cos x) 1) (* (sin x) (sin x)))
  (* (/ (sin x) (cbrt (+ (cos x) 1))) (/ (sin x) (cbrt (+ (cos x) 1))))
  (/ (* (sin x) (sin x)) (sqrt (+ (cos x) 1)))
  (* (sin x) (sin x))
  (* (sin x) (sin x))
  (/ (+ (cos x) 1) (sin x))
  (* (/ (sin x) (fma (cos x) (* (cos x) (cos x)) 1)) (sin x))
  (/ (* (sin x) (sin x)) (* (sin x) (sin x)))
  (fma 2 (cos x) 2)
  (real->posit16 (* (/ (sin x) (+ (cos x) 1)) (sin x)))
  (fma -1/24 (* x x) (fma (* (* x x) (* x x)) 1/720 1/2))
  (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))
  (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))
  (fma (* x x) -1/2 (fma (* 1/24 (* x x)) (* x x) 2))
  (+ (cos x) 1)
  (+ (cos x) 1)
  (fma -1/3 (* (* x x) (* x x)) (fma 2/45 (* (* x (* x x)) (* x (* x x))) (* x x)))
  (* (sin x) (sin x))
  (* (sin x) (sin x))
  (fma -1/24 (* (* x x) (* x x)) (fma 1/720 (* (* x (* x x)) (* x (* x x))) (* (* x x) 1/2)))
  (/ (* (sin x) (sin x)) (+ (cos x) 1))
  (/ (* (sin x) (sin x)) (+ (cos x) 1))
3.301 * * * [progress]: adding candidates to table
3.749 * * [progress]: iteration 3 / 4
3.749 * * * [progress]: picking best candidate
3.772 * * * * [pick]: Picked  #<alt (λ (x) (/ (* (sin x) (tan (/ x 2))) (* x x)))>
3.772 * * * [progress]: localizing error
3.794 * * * [progress]: generating rewritten candidates
3.794 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
3.815 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
3.834 * * * [progress]: generating series expansions
3.834 * * * * [progress]: [ 1 / 2 ] generating series at (2)
3.835 * [backup-simplify]: Simplify (/ (* (sin x) (tan (/ x 2))) (* x x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2))
3.835 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0
3.835 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x
3.835 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
3.835 * [taylor]: Taking taylor expansion of (sin x) in x
3.835 * [taylor]: Taking taylor expansion of x in x
3.835 * [backup-simplify]: Simplify 0 into 0
3.835 * [backup-simplify]: Simplify 1 into 1
3.835 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
3.835 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
3.835 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
3.835 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
3.835 * [taylor]: Taking taylor expansion of 1/2 in x
3.835 * [backup-simplify]: Simplify 1/2 into 1/2
3.835 * [taylor]: Taking taylor expansion of x in x
3.835 * [backup-simplify]: Simplify 0 into 0
3.835 * [backup-simplify]: Simplify 1 into 1
3.836 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.836 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.836 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
3.836 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
3.836 * [taylor]: Taking taylor expansion of 1/2 in x
3.836 * [backup-simplify]: Simplify 1/2 into 1/2
3.836 * [taylor]: Taking taylor expansion of x in x
3.836 * [backup-simplify]: Simplify 0 into 0
3.836 * [backup-simplify]: Simplify 1 into 1
3.837 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.837 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
3.838 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.838 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.839 * [taylor]: Taking taylor expansion of x in x
3.839 * [backup-simplify]: Simplify 0 into 0
3.839 * [backup-simplify]: Simplify 1 into 1
3.839 * [backup-simplify]: Simplify (* 0 1/2) into 0
3.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
3.840 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.841 * [backup-simplify]: Simplify (+ 0) into 0
3.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.842 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.843 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
3.843 * [backup-simplify]: Simplify (* 1 1) into 1
3.843 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.843 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x
3.843 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
3.843 * [taylor]: Taking taylor expansion of (sin x) in x
3.843 * [taylor]: Taking taylor expansion of x in x
3.843 * [backup-simplify]: Simplify 0 into 0
3.843 * [backup-simplify]: Simplify 1 into 1
3.843 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
3.844 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
3.844 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
3.844 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
3.844 * [taylor]: Taking taylor expansion of 1/2 in x
3.844 * [backup-simplify]: Simplify 1/2 into 1/2
3.844 * [taylor]: Taking taylor expansion of x in x
3.844 * [backup-simplify]: Simplify 0 into 0
3.844 * [backup-simplify]: Simplify 1 into 1
3.844 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.845 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.845 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
3.845 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
3.845 * [taylor]: Taking taylor expansion of 1/2 in x
3.845 * [backup-simplify]: Simplify 1/2 into 1/2
3.845 * [taylor]: Taking taylor expansion of x in x
3.845 * [backup-simplify]: Simplify 0 into 0
3.845 * [backup-simplify]: Simplify 1 into 1
3.845 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.846 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.846 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
3.847 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.847 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.847 * [taylor]: Taking taylor expansion of x in x
3.847 * [backup-simplify]: Simplify 0 into 0
3.847 * [backup-simplify]: Simplify 1 into 1
3.847 * [backup-simplify]: Simplify (* 0 1/2) into 0
3.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
3.849 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.849 * [backup-simplify]: Simplify (+ 0) into 0
3.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.850 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.851 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
3.851 * [backup-simplify]: Simplify (* 1 1) into 1
3.855 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.855 * [backup-simplify]: Simplify 1/2 into 1/2
3.856 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.857 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
3.857 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
3.858 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
3.859 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.860 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
3.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.861 * [backup-simplify]: Simplify 0 into 0
3.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
3.863 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
3.865 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
3.868 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24
3.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.870 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
3.871 * [backup-simplify]: Simplify -1/24 into -1/24
3.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
3.874 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
3.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.877 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
3.878 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240
3.879 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.880 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0
3.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
3.881 * [backup-simplify]: Simplify 0 into 0
3.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
3.885 * [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
3.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
3.888 * [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
3.890 * [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
3.893 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
3.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720
3.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.896 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
3.896 * [backup-simplify]: Simplify 1/720 into 1/720
3.897 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))
3.897 * [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)))
3.897 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in (x) around 0
3.897 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in x
3.897 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
3.897 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
3.897 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
3.897 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
3.897 * [taylor]: Taking taylor expansion of 1/2 in x
3.897 * [backup-simplify]: Simplify 1/2 into 1/2
3.897 * [taylor]: Taking taylor expansion of x in x
3.897 * [backup-simplify]: Simplify 0 into 0
3.897 * [backup-simplify]: Simplify 1 into 1
3.898 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.898 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
3.898 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
3.898 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
3.898 * [taylor]: Taking taylor expansion of 1/2 in x
3.898 * [backup-simplify]: Simplify 1/2 into 1/2
3.898 * [taylor]: Taking taylor expansion of x in x
3.898 * [backup-simplify]: Simplify 0 into 0
3.898 * [backup-simplify]: Simplify 1 into 1
3.898 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.898 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
3.898 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
3.898 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (pow x 2)) in x
3.899 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
3.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.899 * [taylor]: Taking taylor expansion of x in x
3.899 * [backup-simplify]: Simplify 0 into 0
3.899 * [backup-simplify]: Simplify 1 into 1
3.899 * [backup-simplify]: Simplify (/ 1 1) into 1
3.899 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
3.899 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.899 * [taylor]: Taking taylor expansion of x in x
3.899 * [backup-simplify]: Simplify 0 into 0
3.899 * [backup-simplify]: Simplify 1 into 1
3.899 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (* (sin (/ 1 x)) (pow x 2))) in x
3.899 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
3.899 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
3.899 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
3.900 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
3.900 * [taylor]: Taking taylor expansion of 1/2 in x
3.900 * [backup-simplify]: Simplify 1/2 into 1/2
3.900 * [taylor]: Taking taylor expansion of x in x
3.900 * [backup-simplify]: Simplify 0 into 0
3.900 * [backup-simplify]: Simplify 1 into 1
3.900 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.900 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
3.900 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
3.900 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
3.900 * [taylor]: Taking taylor expansion of 1/2 in x
3.900 * [backup-simplify]: Simplify 1/2 into 1/2
3.900 * [taylor]: Taking taylor expansion of x in x
3.900 * [backup-simplify]: Simplify 0 into 0
3.900 * [backup-simplify]: Simplify 1 into 1
3.901 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.901 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
3.901 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
3.901 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (pow x 2)) in x
3.901 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
3.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.901 * [taylor]: Taking taylor expansion of x in x
3.901 * [backup-simplify]: Simplify 0 into 0
3.901 * [backup-simplify]: Simplify 1 into 1
3.901 * [backup-simplify]: Simplify (/ 1 1) into 1
3.901 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
3.901 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.901 * [taylor]: Taking taylor expansion of x in x
3.901 * [backup-simplify]: Simplify 0 into 0
3.901 * [backup-simplify]: Simplify 1 into 1
3.902 * [backup-simplify]: Simplify (* 1 1) into 1
3.902 * [backup-simplify]: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x))
3.902 * [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)))
3.902 * [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)))
3.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.903 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0
3.903 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
3.903 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
3.903 * [backup-simplify]: Simplify 0 into 0
3.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.904 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0
3.904 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
3.904 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
3.905 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.906 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.906 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
3.907 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
3.907 * [backup-simplify]: Simplify 0 into 0
3.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.909 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.909 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
3.910 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
3.911 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.913 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.913 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
3.914 * [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
3.914 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
3.917 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
3.917 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
3.919 * [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
3.919 * [backup-simplify]: Simplify 0 into 0
3.919 * [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)))
3.919 * [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))))
3.919 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0
3.919 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
3.919 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.919 * [taylor]: Taking taylor expansion of x in x
3.919 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify 1 into 1
3.919 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
3.919 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
3.920 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
3.920 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
3.920 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
3.920 * [taylor]: Taking taylor expansion of -1/2 in x
3.920 * [backup-simplify]: Simplify -1/2 into -1/2
3.920 * [taylor]: Taking taylor expansion of x in x
3.920 * [backup-simplify]: Simplify 0 into 0
3.920 * [backup-simplify]: Simplify 1 into 1
3.920 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.920 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
3.920 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
3.920 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
3.920 * [taylor]: Taking taylor expansion of -1/2 in x
3.920 * [backup-simplify]: Simplify -1/2 into -1/2
3.920 * [taylor]: Taking taylor expansion of x in x
3.920 * [backup-simplify]: Simplify 0 into 0
3.920 * [backup-simplify]: Simplify 1 into 1
3.920 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.920 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
3.921 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
3.921 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
3.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.921 * [taylor]: Taking taylor expansion of -1 in x
3.921 * [backup-simplify]: Simplify -1 into -1
3.921 * [taylor]: Taking taylor expansion of x in x
3.921 * [backup-simplify]: Simplify 0 into 0
3.921 * [backup-simplify]: Simplify 1 into 1
3.921 * [backup-simplify]: Simplify (/ -1 1) into -1
3.921 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
3.921 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
3.921 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.921 * [taylor]: Taking taylor expansion of x in x
3.921 * [backup-simplify]: Simplify 0 into 0
3.921 * [backup-simplify]: Simplify 1 into 1
3.921 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
3.921 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
3.921 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
3.921 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
3.921 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
3.921 * [taylor]: Taking taylor expansion of -1/2 in x
3.921 * [backup-simplify]: Simplify -1/2 into -1/2
3.921 * [taylor]: Taking taylor expansion of x in x
3.921 * [backup-simplify]: Simplify 0 into 0
3.921 * [backup-simplify]: Simplify 1 into 1
3.921 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.922 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
3.922 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
3.922 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
3.922 * [taylor]: Taking taylor expansion of -1/2 in x
3.922 * [backup-simplify]: Simplify -1/2 into -1/2
3.922 * [taylor]: Taking taylor expansion of x in x
3.922 * [backup-simplify]: Simplify 0 into 0
3.922 * [backup-simplify]: Simplify 1 into 1
3.922 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.922 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
3.922 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
3.922 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
3.922 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.922 * [taylor]: Taking taylor expansion of -1 in x
3.922 * [backup-simplify]: Simplify -1 into -1
3.922 * [taylor]: Taking taylor expansion of x in x
3.922 * [backup-simplify]: Simplify 0 into 0
3.922 * [backup-simplify]: Simplify 1 into 1
3.923 * [backup-simplify]: Simplify (/ -1 1) into -1
3.923 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
3.923 * [backup-simplify]: Simplify (* 1 1) into 1
3.923 * [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)))
3.924 * [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)))
3.924 * [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)))
3.924 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
3.924 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
3.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0
3.925 * [backup-simplify]: Simplify 0 into 0
3.926 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
3.926 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
3.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
3.927 * [backup-simplify]: Simplify 0 into 0
3.928 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
3.928 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
3.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0
3.930 * [backup-simplify]: Simplify 0 into 0
3.931 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
3.932 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
3.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.934 * [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
3.934 * [backup-simplify]: Simplify 0 into 0
3.934 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
3.936 * [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
3.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.938 * [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
3.938 * [backup-simplify]: Simplify 0 into 0
3.939 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
3.941 * [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
3.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
3.944 * [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
3.944 * [backup-simplify]: Simplify 0 into 0
3.944 * [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)))
3.944 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
3.944 * [backup-simplify]: Simplify (* (sin x) (tan (/ x 2))) into (* (sin x) (tan (* 1/2 x)))
3.944 * [approximate]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in (x) around 0
3.944 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
3.944 * [taylor]: Taking taylor expansion of (sin x) in x
3.944 * [taylor]: Taking taylor expansion of x in x
3.944 * [backup-simplify]: Simplify 0 into 0
3.944 * [backup-simplify]: Simplify 1 into 1
3.944 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
3.945 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
3.945 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
3.945 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
3.945 * [taylor]: Taking taylor expansion of 1/2 in x
3.945 * [backup-simplify]: Simplify 1/2 into 1/2
3.945 * [taylor]: Taking taylor expansion of x in x
3.945 * [backup-simplify]: Simplify 0 into 0
3.945 * [backup-simplify]: Simplify 1 into 1
3.945 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.945 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.945 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
3.945 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
3.945 * [taylor]: Taking taylor expansion of 1/2 in x
3.945 * [backup-simplify]: Simplify 1/2 into 1/2
3.945 * [taylor]: Taking taylor expansion of x in x
3.945 * [backup-simplify]: Simplify 0 into 0
3.945 * [backup-simplify]: Simplify 1 into 1
3.946 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.946 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
3.947 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.947 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
3.947 * [taylor]: Taking taylor expansion of (sin x) in x
3.947 * [taylor]: Taking taylor expansion of x in x
3.947 * [backup-simplify]: Simplify 0 into 0
3.947 * [backup-simplify]: Simplify 1 into 1
3.947 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
3.947 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
3.947 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
3.947 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
3.947 * [taylor]: Taking taylor expansion of 1/2 in x
3.947 * [backup-simplify]: Simplify 1/2 into 1/2
3.947 * [taylor]: Taking taylor expansion of x in x
3.947 * [backup-simplify]: Simplify 0 into 0
3.947 * [backup-simplify]: Simplify 1 into 1
3.947 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.948 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.948 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
3.948 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
3.948 * [taylor]: Taking taylor expansion of 1/2 in x
3.948 * [backup-simplify]: Simplify 1/2 into 1/2
3.948 * [taylor]: Taking taylor expansion of x in x
3.948 * [backup-simplify]: Simplify 0 into 0
3.948 * [backup-simplify]: Simplify 1 into 1
3.948 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.949 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.949 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
3.950 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.950 * [backup-simplify]: Simplify (* 0 1/2) into 0
3.950 * [backup-simplify]: Simplify 0 into 0
3.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
3.952 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.952 * [backup-simplify]: Simplify (+ 0) into 0
3.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.953 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.954 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
3.954 * [backup-simplify]: Simplify 1/2 into 1/2
3.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.956 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
3.957 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
3.960 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
3.960 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.961 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
3.961 * [backup-simplify]: Simplify 0 into 0
3.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
3.963 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
3.965 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
3.968 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24
3.969 * [backup-simplify]: Simplify -1/24 into -1/24
3.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
3.974 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
3.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.976 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
3.978 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240
3.979 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.980 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0
3.981 * [backup-simplify]: Simplify 0 into 0
3.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
3.985 * [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
3.986 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
3.988 * [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
3.990 * [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
3.992 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
3.994 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720
3.994 * [backup-simplify]: Simplify 1/720 into 1/720
3.994 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4)))
3.995 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2))) into (* (tan (/ 1/2 x)) (sin (/ 1 x)))
3.995 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in (x) around 0
3.995 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x
3.995 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
3.995 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
3.995 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
3.995 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
3.995 * [taylor]: Taking taylor expansion of 1/2 in x
3.995 * [backup-simplify]: Simplify 1/2 into 1/2
3.995 * [taylor]: Taking taylor expansion of x in x
3.995 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify 1 into 1
3.995 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.995 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
3.995 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
3.995 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
3.995 * [taylor]: Taking taylor expansion of 1/2 in x
3.995 * [backup-simplify]: Simplify 1/2 into 1/2
3.995 * [taylor]: Taking taylor expansion of x in x
3.995 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify 1 into 1
3.996 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.996 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
3.996 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
3.996 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
3.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.996 * [taylor]: Taking taylor expansion of x in x
3.996 * [backup-simplify]: Simplify 0 into 0
3.996 * [backup-simplify]: Simplify 1 into 1
3.996 * [backup-simplify]: Simplify (/ 1 1) into 1
3.996 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
3.996 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x
3.996 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
3.996 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
3.997 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
3.997 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
3.997 * [taylor]: Taking taylor expansion of 1/2 in x
3.997 * [backup-simplify]: Simplify 1/2 into 1/2
3.997 * [taylor]: Taking taylor expansion of x in x
3.997 * [backup-simplify]: Simplify 0 into 0
3.997 * [backup-simplify]: Simplify 1 into 1
3.997 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.997 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
3.997 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
3.997 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
3.997 * [taylor]: Taking taylor expansion of 1/2 in x
3.997 * [backup-simplify]: Simplify 1/2 into 1/2
3.997 * [taylor]: Taking taylor expansion of x in x
3.997 * [backup-simplify]: Simplify 0 into 0
3.997 * [backup-simplify]: Simplify 1 into 1
3.998 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.998 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
3.998 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
3.998 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
3.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.998 * [taylor]: Taking taylor expansion of x in x
3.998 * [backup-simplify]: Simplify 0 into 0
3.998 * [backup-simplify]: Simplify 1 into 1
3.998 * [backup-simplify]: Simplify (/ 1 1) into 1
3.998 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
3.998 * [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)))
3.999 * [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)))
3.999 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
3.999 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
4.000 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
4.001 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
4.001 * [backup-simplify]: Simplify 0 into 0
4.001 * [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)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
4.003 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
4.004 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
4.004 * [backup-simplify]: Simplify 0 into 0
4.004 * [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)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
4.005 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) into (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
4.006 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) into (* (tan (/ -1/2 x)) (sin (/ -1 x)))
4.006 * [approximate]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in (x) around 0
4.006 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
4.006 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
4.006 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
4.006 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
4.006 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
4.006 * [taylor]: Taking taylor expansion of -1/2 in x
4.006 * [backup-simplify]: Simplify -1/2 into -1/2
4.006 * [taylor]: Taking taylor expansion of x in x
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 1 into 1
4.006 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.006 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
4.006 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
4.006 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
4.006 * [taylor]: Taking taylor expansion of -1/2 in x
4.006 * [backup-simplify]: Simplify -1/2 into -1/2
4.006 * [taylor]: Taking taylor expansion of x in x
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 1 into 1
4.007 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.007 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
4.007 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
4.007 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.007 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.007 * [taylor]: Taking taylor expansion of -1 in x
4.007 * [backup-simplify]: Simplify -1 into -1
4.007 * [taylor]: Taking taylor expansion of x in x
4.007 * [backup-simplify]: Simplify 0 into 0
4.007 * [backup-simplify]: Simplify 1 into 1
4.007 * [backup-simplify]: Simplify (/ -1 1) into -1
4.007 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.007 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
4.007 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
4.007 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
4.007 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
4.007 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
4.007 * [taylor]: Taking taylor expansion of -1/2 in x
4.007 * [backup-simplify]: Simplify -1/2 into -1/2
4.007 * [taylor]: Taking taylor expansion of x in x
4.007 * [backup-simplify]: Simplify 0 into 0
4.007 * [backup-simplify]: Simplify 1 into 1
4.008 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.008 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
4.008 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
4.008 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
4.008 * [taylor]: Taking taylor expansion of -1/2 in x
4.008 * [backup-simplify]: Simplify -1/2 into -1/2
4.008 * [taylor]: Taking taylor expansion of x in x
4.008 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify 1 into 1
4.008 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.008 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
4.008 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
4.008 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.008 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.008 * [taylor]: Taking taylor expansion of -1 in x
4.008 * [backup-simplify]: Simplify -1 into -1
4.008 * [taylor]: Taking taylor expansion of x in x
4.008 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify 1 into 1
4.009 * [backup-simplify]: Simplify (/ -1 1) into -1
4.009 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.009 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
4.009 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
4.009 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
4.009 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
4.009 * [backup-simplify]: Simplify 0 into 0
4.009 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
4.010 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
4.010 * [backup-simplify]: Simplify 0 into 0
4.010 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
4.011 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
4.012 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
4.012 * [backup-simplify]: Simplify 0 into 0
4.013 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
4.014 * [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
4.014 * [backup-simplify]: Simplify 0 into 0
4.015 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
4.016 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
4.016 * [backup-simplify]: Simplify 0 into 0
4.016 * [backup-simplify]: Simplify (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) into (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
4.016 * * * [progress]: simplifying candidates
4.016 * * * * [progress]: [ 1 / 53 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (/ (* (sin x) (tan (/ x 2))) (* x x)))))>
4.016 * * * * [progress]: [ 2 / 53 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (/ (* (sin x) (tan (/ x 2))) (* x x)))))>
4.016 * * * * [progress]: [ 3 / 53 ] simplifiying candidate #<alt (λ (x) (pow (/ (* (sin x) (tan (/ x 2))) (* x x)) 1))>
4.016 * * * * [progress]: [ 4 / 53 ] simplifiying candidate #<alt (λ (x) (exp (- (+ (log (sin x)) (log (tan (/ x 2)))) (+ (log x) (log x)))))>
4.016 * * * * [progress]: [ 5 / 53 ] simplifiying candidate #<alt (λ (x) (exp (- (+ (log (sin x)) (log (tan (/ x 2)))) (log (* x x)))))>
4.016 * * * * [progress]: [ 6 / 53 ] simplifiying candidate #<alt (λ (x) (exp (- (log (* (sin x) (tan (/ x 2)))) (+ (log x) (log x)))))>
4.016 * * * * [progress]: [ 7 / 53 ] simplifiying candidate #<alt (λ (x) (exp (- (log (* (sin x) (tan (/ x 2)))) (log (* x x)))))>
4.016 * * * * [progress]: [ 8 / 53 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (* (sin x) (tan (/ x 2))) (* x x)))))>
4.016 * * * * [progress]: [ 9 / 53 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (* (sin x) (tan (/ x 2))) (* x x)))))>
4.017 * * * * [progress]: [ 10 / 53 ] 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)))))>
4.017 * * * * [progress]: [ 11 / 53 ] 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)))))>
4.017 * * * * [progress]: [ 12 / 53 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (* (sin x) (tan (/ x 2))) (* (sin x) (tan (/ x 2)))) (* (sin x) (tan (/ x 2)))) (* (* (* x x) x) (* (* x x) x)))))>
4.017 * * * * [progress]: [ 13 / 53 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (* (sin x) (tan (/ x 2))) (* (sin x) (tan (/ x 2)))) (* (sin x) (tan (/ x 2)))) (* (* (* x x) (* x x)) (* x x)))))>
4.017 * * * * [progress]: [ 14 / 53 ] 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)))))>
4.017 * * * * [progress]: [ 15 / 53 ] 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)))))>
4.017 * * * * [progress]: [ 16 / 53 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (* (sin x) (tan (/ x 2))) (* x x))) (sqrt (/ (* (sin x) (tan (/ x 2))) (* x x)))))>
4.017 * * * * [progress]: [ 17 / 53 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sin x) (tan (/ x 2)))) (- (* x x))))>
4.017 * * * * [progress]: [ 18 / 53 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))>
4.017 * * * * [progress]: [ 19 / 53 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (* (sin x) (tan (/ x 2))) (* x x))))>
4.017 * * * * [progress]: [ 20 / 53 ] simplifiying candidate #<alt (λ (x) (* (* (sin x) (tan (/ x 2))) (/ 1 (* x x))))>
4.017 * * * * [progress]: [ 21 / 53 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (* (sin x) (tan (/ x 2))))))>
4.017 * * * * [progress]: [ 22 / 53 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (tan (/ x 2))) x) x))>
4.017 * * * * [progress]: [ 23 / 53 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (/ (* x x) (tan (/ x 2)))))>
4.017 * * * * [progress]: [ 24 / 53 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin (/ x 2))) (* (* x x) (cos (/ x 2)))))>
4.017 * * * * [progress]: [ 25 / 53 ] simplifiying candidate #<alt (λ (x) (posit16->real (real->posit16 (/ (* (sin x) (tan (/ x 2))) (* x x)))))>
4.017 * * * * [progress]: [ 26 / 53 ] simplifiying candidate #<alt (λ (x) (/ (log1p (expm1 (* (sin x) (tan (/ x 2))))) (* x x)))>
4.017 * * * * [progress]: [ 27 / 53 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (* (sin x) (tan (/ x 2))))) (* x x)))>
4.017 * * * * [progress]: [ 28 / 53 ] simplifiying candidate #<alt (λ (x) (/ (pow (* (sin x) (tan (/ x 2))) 1) (* x x)))>
4.017 * * * * [progress]: [ 29 / 53 ] simplifiying candidate #<alt (λ (x) (/ (pow (* (sin x) (tan (/ x 2))) 1) (* x x)))>
4.017 * * * * [progress]: [ 30 / 53 ] simplifiying candidate #<alt (λ (x) (/ (exp (+ (log (sin x)) (log (tan (/ x 2))))) (* x x)))>
4.017 * * * * [progress]: [ 31 / 53 ] simplifiying candidate #<alt (λ (x) (/ (exp (log (* (sin x) (tan (/ x 2))))) (* x x)))>
4.017 * * * * [progress]: [ 32 / 53 ] simplifiying candidate #<alt (λ (x) (/ (log (exp (* (sin x) (tan (/ x 2))))) (* x x)))>
4.017 * * * * [progress]: [ 33 / 53 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (* (sin x) (sin x)) (sin x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))))) (* x x)))>
4.017 * * * * [progress]: [ 34 / 53 ] simplifiying candidate #<alt (λ (x) (/ (* (* (cbrt (* (sin x) (tan (/ x 2)))) (cbrt (* (sin x) (tan (/ x 2))))) (cbrt (* (sin x) (tan (/ x 2))))) (* x x)))>
4.017 * * * * [progress]: [ 35 / 53 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (* (sin x) (tan (/ x 2))) (* (sin x) (tan (/ x 2)))) (* (sin x) (tan (/ x 2))))) (* x x)))>
4.017 * * * * [progress]: [ 36 / 53 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (* (sin x) (tan (/ x 2)))) (sqrt (* (sin x) (tan (/ x 2))))) (* x x)))>
4.017 * * * * [progress]: [ 37 / 53 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (* (sin x) (tan (/ x 2)))) (* x x)))>
4.018 * * * * [progress]: [ 38 / 53 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) (* (sqrt (sin x)) (sqrt (tan (/ x 2))))) (* x x)))>
4.018 * * * * [progress]: [ 39 / 53 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (cbrt (tan (/ x 2)))) (* x x)))>
4.018 * * * * [progress]: [ 40 / 53 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (sqrt (tan (/ x 2)))) (sqrt (tan (/ x 2)))) (* x x)))>
4.018 * * * * [progress]: [ 41 / 53 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) 1) (tan (/ x 2))) (* x x)))>
4.018 * * * * [progress]: [ 42 / 53 ] simplifiying candidate #<alt (λ (x) (/ (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (tan (/ x 2)))) (* x x)))>
4.018 * * * * [progress]: [ 43 / 53 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (sin x)) (* (sqrt (sin x)) (tan (/ x 2)))) (* x x)))>
4.018 * * * * [progress]: [ 44 / 53 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (* (sin x) (tan (/ x 2)))) (* x x)))>
4.018 * * * * [progress]: [ 45 / 53 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin (/ x 2))) (cos (/ x 2))) (* x x)))>
4.018 * * * * [progress]: [ 46 / 53 ] simplifiying candidate #<alt (λ (x) (/ (posit16->real (real->posit16 (* (sin x) (tan (/ x 2))))) (* x x)))>
4.018 * * * * [progress]: [ 47 / 53 ] simplifiying candidate #<alt (λ (x) (/ (* (tan (/ x 2)) (sin x)) (* x x)))>
4.018 * * * * [progress]: [ 48 / 53 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
4.018 * * * * [progress]: [ 49 / 53 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
4.018 * * * * [progress]: [ 50 / 53 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
4.018 * * * * [progress]: [ 51 / 53 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)))>
4.018 * * * * [progress]: [ 52 / 53 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) (* x x)))>
4.018 * * * * [progress]: [ 53 / 53 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) (* x x)))>
4.019 * [simplify]: Simplifying:
  (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)))) (log (* x x)))
  (- (log (* (sin x) (tan (/ x 2)))) (+ (log x) (log x)))
  (- (log (* (sin x) (tan (/ x 2)))) (log (* x 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)) (tan (/ x 2))) (tan (/ x 2)))) (* (* (* x x) (* x x)) (* x x)))
  (/ (* (* (* (sin x) (tan (/ x 2))) (* (sin x) (tan (/ x 2)))) (* (sin x) (tan (/ x 2)))) (* (* (* x x) x) (* (* x x) x)))
  (/ (* (* (* (sin x) (tan (/ x 2))) (* (sin x) (tan (/ x 2)))) (* (sin x) (tan (/ x 2)))) (* (* (* x x) (* 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) x)
  (/ (tan (/ x 2)) x)
  (/ 1 (* x x))
  (/ (* x x) (* (sin x) (tan (/ x 2))))
  (/ (* (sin x) (tan (/ x 2))) x)
  (/ (* x x) (tan (/ x 2)))
  (* (* x x) (cos (/ x 2)))
  (real->posit16 (/ (* (sin x) (tan (/ x 2))) (* x x)))
  (expm1 (* (sin x) (tan (/ x 2))))
  (log1p (* (sin x) (tan (/ x 2))))
  (* (sin x) (tan (/ x 2)))
  (+ (log (sin x)) (log (tan (/ x 2))))
  (log (* (sin x) (tan (/ x 2))))
  (exp (* (sin x) (tan (/ x 2))))
  (* (* (* (sin x) (sin x)) (sin x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))))
  (* (cbrt (* (sin x) (tan (/ x 2)))) (cbrt (* (sin x) (tan (/ x 2)))))
  (cbrt (* (sin x) (tan (/ x 2))))
  (* (* (* (sin x) (tan (/ x 2))) (* (sin x) (tan (/ x 2)))) (* (sin x) (tan (/ x 2))))
  (sqrt (* (sin x) (tan (/ x 2))))
  (sqrt (* (sin x) (tan (/ x 2))))
  (* (sqrt (sin x)) (sqrt (tan (/ x 2))))
  (* (sqrt (sin x)) (sqrt (tan (/ x 2))))
  (* (sin x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))))
  (* (sin x) (sqrt (tan (/ x 2))))
  (* (sin x) 1)
  (* (cbrt (sin x)) (tan (/ x 2)))
  (* (sqrt (sin x)) (tan (/ x 2)))
  (* (sin x) (tan (/ x 2)))
  (* (sin x) (sin (/ x 2)))
  (real->posit16 (* (sin x) (tan (/ x 2))))
  (- (+ (* 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)))
  (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4)))
  (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
  (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
4.019 * * [simplify]: iteration 0: 99 enodes
4.044 * * [simplify]: iteration 1: 247 enodes
4.143 * * [simplify]: iteration 2: 999 enodes
4.346 * * [simplify]: iteration 3: 2033 enodes
4.705 * * [simplify]: iteration complete: 2033 enodes
4.705 * * [simplify]: Extracting #0: cost 39 inf + 0
4.706 * * [simplify]: Extracting #1: cost 269 inf + 0
4.709 * * [simplify]: Extracting #2: cost 625 inf + 2323
4.730 * * [simplify]: Extracting #3: cost 450 inf + 76603
4.763 * * [simplify]: Extracting #4: cost 34 inf + 181116
4.803 * * [simplify]: Extracting #5: cost 3 inf + 190217
4.845 * * [simplify]: Extracting #6: cost 0 inf + 191230
4.881 * [simplify]: Simplified to:
  (expm1 (/ (* (sin x) (tan (/ x 2))) (* x x)))
  (log1p (/ (* (sin x) (tan (/ x 2))) (* x x)))
  (log (/ (* (sin x) (tan (/ x 2))) (* x x)))
  (log (/ (* (sin x) (tan (/ x 2))) (* x x)))
  (log (/ (* (sin x) (tan (/ x 2))) (* x x)))
  (log (/ (* (sin x) (tan (/ x 2))) (* x x)))
  (log (/ (* (sin x) (tan (/ x 2))) (* x x)))
  (exp (/ (* (sin x) (tan (/ x 2))) (* x x)))
  (* (/ (* (sin x) (tan (/ x 2))) (* x x)) (* (/ (* (sin x) (tan (/ x 2))) (* x x)) (/ (* (sin x) (tan (/ x 2))) (* x x))))
  (* (/ (* (sin x) (tan (/ x 2))) (* x x)) (* (/ (* (sin x) (tan (/ x 2))) (* x x)) (/ (* (sin x) (tan (/ x 2))) (* x x))))
  (* (/ (* (sin x) (tan (/ x 2))) (* x x)) (* (/ (* (sin x) (tan (/ x 2))) (* x x)) (/ (* (sin x) (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))))
  (* (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) x)
  (/ (tan (/ x 2)) x)
  (/ 1 (* x x))
  (/ x (* (/ (sin x) x) (tan (/ x 2))))
  (* (/ (sin x) x) (tan (/ x 2)))
  (/ x (/ (tan (/ x 2)) x))
  (* (* x (cos (/ x 2))) x)
  (real->posit16 (/ (* (sin x) (tan (/ x 2))) (* x x)))
  (expm1 (* (sin x) (tan (/ x 2))))
  (log1p (* (sin x) (tan (/ x 2))))
  (* (sin x) (tan (/ x 2)))
  (log (* (sin x) (tan (/ x 2))))
  (log (* (sin x) (tan (/ x 2))))
  (exp (* (sin x) (tan (/ x 2))))
  (* (* (* (sin x) (tan (/ x 2))) (* (sin x) (tan (/ x 2)))) (* (sin x) (tan (/ x 2))))
  (* (cbrt (* (sin x) (tan (/ x 2)))) (cbrt (* (sin x) (tan (/ x 2)))))
  (cbrt (* (sin x) (tan (/ x 2))))
  (* (* (* (sin x) (tan (/ x 2))) (* (sin x) (tan (/ x 2)))) (* (sin x) (tan (/ x 2))))
  (sqrt (* (sin x) (tan (/ x 2))))
  (sqrt (* (sin x) (tan (/ x 2))))
  (* (sqrt (sin x)) (sqrt (tan (/ x 2))))
  (* (sqrt (sin x)) (sqrt (tan (/ x 2))))
  (* (sin x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))))
  (* (sin x) (sqrt (tan (/ x 2))))
  (sin x)
  (* (cbrt (sin x)) (tan (/ x 2)))
  (* (sqrt (sin x)) (tan (/ x 2)))
  (* (sin x) (tan (/ x 2)))
  (* (sin (/ x 2)) (sin x))
  (real->posit16 (* (sin x) (tan (/ x 2))))
  (fma -1/24 (* x x) (fma (* (* x x) (* x x)) 1/720 1/2))
  (* (/ (sin x) (* x x)) (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
  (* (/ (sin x) (* x x)) (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
  (fma -1/24 (* (* x x) (* x x)) (fma 1/720 (* (* x x) (* (* x x) (* x x))) (* 1/2 (* x x))))
  (/ (* (sin (* 1/2 x)) (sin x)) (cos (* 1/2 x)))
  (/ (* (sin (* 1/2 x)) (sin x)) (cos (* 1/2 x)))
4.883 * * * [progress]: adding candidates to table
5.062 * * [progress]: iteration 4 / 4
5.062 * * * [progress]: picking best candidate
5.087 * * * * [pick]: Picked  #<alt (λ (x) (/ (sin x) (/ (* x x) (tan (/ x 2)))))>
5.087 * * * [progress]: localizing error
5.105 * * * [progress]: generating rewritten candidates
5.105 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2)
5.115 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
5.130 * * * [progress]: generating series expansions
5.130 * * * * [progress]: [ 1 / 2 ] generating series at (2 2)
5.130 * [backup-simplify]: Simplify (/ (* x x) (tan (/ x 2))) into (/ (pow x 2) (tan (* 1/2 x)))
5.130 * [approximate]: Taking taylor expansion of (/ (pow x 2) (tan (* 1/2 x))) in (x) around 0
5.130 * [taylor]: Taking taylor expansion of (/ (pow x 2) (tan (* 1/2 x))) in x
5.130 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.130 * [taylor]: Taking taylor expansion of x in x
5.130 * [backup-simplify]: Simplify 0 into 0
5.130 * [backup-simplify]: Simplify 1 into 1
5.130 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
5.130 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
5.130 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
5.130 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
5.130 * [taylor]: Taking taylor expansion of 1/2 in x
5.130 * [backup-simplify]: Simplify 1/2 into 1/2
5.130 * [taylor]: Taking taylor expansion of x in x
5.130 * [backup-simplify]: Simplify 0 into 0
5.130 * [backup-simplify]: Simplify 1 into 1
5.131 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.131 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.131 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
5.131 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
5.131 * [taylor]: Taking taylor expansion of 1/2 in x
5.131 * [backup-simplify]: Simplify 1/2 into 1/2
5.131 * [taylor]: Taking taylor expansion of x in x
5.131 * [backup-simplify]: Simplify 0 into 0
5.131 * [backup-simplify]: Simplify 1 into 1
5.132 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.132 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.132 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
5.133 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.133 * [backup-simplify]: Simplify (* 1 1) into 1
5.133 * [backup-simplify]: Simplify (/ 1 1/2) into 2
5.133 * [taylor]: Taking taylor expansion of (/ (pow x 2) (tan (* 1/2 x))) in x
5.133 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.133 * [taylor]: Taking taylor expansion of x in x
5.133 * [backup-simplify]: Simplify 0 into 0
5.133 * [backup-simplify]: Simplify 1 into 1
5.133 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
5.133 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
5.133 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
5.133 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
5.133 * [taylor]: Taking taylor expansion of 1/2 in x
5.133 * [backup-simplify]: Simplify 1/2 into 1/2
5.133 * [taylor]: Taking taylor expansion of x in x
5.133 * [backup-simplify]: Simplify 0 into 0
5.133 * [backup-simplify]: Simplify 1 into 1
5.134 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.134 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.134 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
5.134 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
5.134 * [taylor]: Taking taylor expansion of 1/2 in x
5.134 * [backup-simplify]: Simplify 1/2 into 1/2
5.134 * [taylor]: Taking taylor expansion of x in x
5.134 * [backup-simplify]: Simplify 0 into 0
5.134 * [backup-simplify]: Simplify 1 into 1
5.135 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.135 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.135 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
5.136 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.136 * [backup-simplify]: Simplify (* 1 1) into 1
5.136 * [backup-simplify]: Simplify (/ 1 1/2) into 2
5.136 * [backup-simplify]: Simplify 2 into 2
5.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
5.138 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.138 * [backup-simplify]: Simplify (+ 0) into 0
5.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.139 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)))) into 0
5.139 * [backup-simplify]: Simplify 0 into 0
5.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.141 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
5.142 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
5.143 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
5.143 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 1/24 1/2)) (* 0 (/ 0 1/2)))) into -1/6
5.143 * [backup-simplify]: Simplify -1/6 into -1/6
5.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
5.146 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
5.147 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
5.152 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)) (* 0 (/ 1/24 1/2)) (* -1/6 (/ 0 1/2)))) into 0
5.152 * [backup-simplify]: Simplify 0 into 0
5.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
5.155 * [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
5.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.158 * [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
5.159 * [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
5.160 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 1/240 1/2)) (* 0 (/ 0 1/2)) (* -1/6 (/ 1/24 1/2)) (* 0 (/ 0 1/2)))) into -1/360
5.160 * [backup-simplify]: Simplify -1/360 into -1/360
5.160 * [backup-simplify]: Simplify (+ (* -1/360 (pow x 5)) (+ (* -1/6 (pow x 3)) (* 2 x))) into (- (* 2 x) (+ (* 1/6 (pow x 3)) (* 1/360 (pow x 5))))
5.161 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (tan (/ (/ 1 x) 2))) into (/ 1 (* (pow x 2) (tan (/ 1/2 x))))
5.161 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ 1/2 x)))) in (x) around 0
5.161 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ 1/2 x)))) in x
5.161 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ 1/2 x))) in x
5.161 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.161 * [taylor]: Taking taylor expansion of x in x
5.161 * [backup-simplify]: Simplify 0 into 0
5.161 * [backup-simplify]: Simplify 1 into 1
5.161 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
5.161 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
5.161 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
5.161 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
5.161 * [taylor]: Taking taylor expansion of 1/2 in x
5.161 * [backup-simplify]: Simplify 1/2 into 1/2
5.161 * [taylor]: Taking taylor expansion of x in x
5.161 * [backup-simplify]: Simplify 0 into 0
5.161 * [backup-simplify]: Simplify 1 into 1
5.161 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.161 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
5.161 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
5.161 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
5.161 * [taylor]: Taking taylor expansion of 1/2 in x
5.161 * [backup-simplify]: Simplify 1/2 into 1/2
5.161 * [taylor]: Taking taylor expansion of x in x
5.161 * [backup-simplify]: Simplify 0 into 0
5.161 * [backup-simplify]: Simplify 1 into 1
5.162 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.162 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
5.162 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
5.162 * [backup-simplify]: Simplify (* 1 1) into 1
5.162 * [backup-simplify]: Simplify (* 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
5.162 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x)))
5.162 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ 1/2 x)))) in x
5.162 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ 1/2 x))) in x
5.162 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.162 * [taylor]: Taking taylor expansion of x in x
5.162 * [backup-simplify]: Simplify 0 into 0
5.162 * [backup-simplify]: Simplify 1 into 1
5.162 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
5.162 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
5.162 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
5.162 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
5.162 * [taylor]: Taking taylor expansion of 1/2 in x
5.162 * [backup-simplify]: Simplify 1/2 into 1/2
5.162 * [taylor]: Taking taylor expansion of x in x
5.162 * [backup-simplify]: Simplify 0 into 0
5.162 * [backup-simplify]: Simplify 1 into 1
5.163 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.163 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
5.163 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
5.163 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
5.163 * [taylor]: Taking taylor expansion of 1/2 in x
5.163 * [backup-simplify]: Simplify 1/2 into 1/2
5.163 * [taylor]: Taking taylor expansion of x in x
5.163 * [backup-simplify]: Simplify 0 into 0
5.163 * [backup-simplify]: Simplify 1 into 1
5.163 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.163 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
5.163 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
5.163 * [backup-simplify]: Simplify (* 1 1) into 1
5.164 * [backup-simplify]: Simplify (* 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
5.164 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x)))
5.164 * [backup-simplify]: Simplify (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x)))
5.164 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
5.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0
5.165 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
5.165 * [backup-simplify]: Simplify 0 into 0
5.165 * [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
5.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0
5.167 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
5.167 * [backup-simplify]: Simplify 0 into 0
5.167 * [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
5.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
5.169 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
5.169 * [backup-simplify]: Simplify 0 into 0
5.169 * [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
5.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0
5.171 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
5.171 * [backup-simplify]: Simplify 0 into 0
5.171 * [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
5.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0
5.174 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
5.174 * [backup-simplify]: Simplify 0 into 0
5.174 * [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
5.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0
5.177 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
5.177 * [backup-simplify]: Simplify 0 into 0
5.177 * [backup-simplify]: Simplify (* (/ (cos (/ 1/2 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (pow (/ 1 (/ 1 x)) 2)) into (/ (* (cos (* 1/2 x)) (pow x 2)) (sin (* 1/2 x)))
5.177 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) into (/ 1 (* (pow x 2) (tan (/ -1/2 x))))
5.177 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ -1/2 x)))) in (x) around 0
5.177 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ -1/2 x)))) in x
5.177 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ -1/2 x))) in x
5.177 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.177 * [taylor]: Taking taylor expansion of x in x
5.178 * [backup-simplify]: Simplify 0 into 0
5.178 * [backup-simplify]: Simplify 1 into 1
5.178 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
5.178 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
5.178 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
5.178 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
5.178 * [taylor]: Taking taylor expansion of -1/2 in x
5.178 * [backup-simplify]: Simplify -1/2 into -1/2
5.178 * [taylor]: Taking taylor expansion of x in x
5.178 * [backup-simplify]: Simplify 0 into 0
5.178 * [backup-simplify]: Simplify 1 into 1
5.178 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
5.178 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
5.178 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
5.178 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
5.178 * [taylor]: Taking taylor expansion of -1/2 in x
5.178 * [backup-simplify]: Simplify -1/2 into -1/2
5.178 * [taylor]: Taking taylor expansion of x in x
5.178 * [backup-simplify]: Simplify 0 into 0
5.178 * [backup-simplify]: Simplify 1 into 1
5.178 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
5.178 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
5.179 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
5.179 * [backup-simplify]: Simplify (* 1 1) into 1
5.179 * [backup-simplify]: Simplify (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
5.179 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))
5.179 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ -1/2 x)))) in x
5.179 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ -1/2 x))) in x
5.179 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.179 * [taylor]: Taking taylor expansion of x in x
5.179 * [backup-simplify]: Simplify 0 into 0
5.179 * [backup-simplify]: Simplify 1 into 1
5.179 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
5.179 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
5.179 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
5.179 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
5.179 * [taylor]: Taking taylor expansion of -1/2 in x
5.179 * [backup-simplify]: Simplify -1/2 into -1/2
5.179 * [taylor]: Taking taylor expansion of x in x
5.179 * [backup-simplify]: Simplify 0 into 0
5.179 * [backup-simplify]: Simplify 1 into 1
5.179 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
5.180 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
5.180 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
5.180 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
5.180 * [taylor]: Taking taylor expansion of -1/2 in x
5.180 * [backup-simplify]: Simplify -1/2 into -1/2
5.180 * [taylor]: Taking taylor expansion of x in x
5.180 * [backup-simplify]: Simplify 0 into 0
5.180 * [backup-simplify]: Simplify 1 into 1
5.180 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
5.180 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
5.180 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
5.180 * [backup-simplify]: Simplify (* 1 1) into 1
5.180 * [backup-simplify]: Simplify (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
5.180 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))
5.181 * [backup-simplify]: Simplify (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) into (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))
5.181 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
5.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0
5.182 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
5.182 * [backup-simplify]: Simplify 0 into 0
5.182 * [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
5.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0
5.184 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
5.184 * [backup-simplify]: Simplify 0 into 0
5.184 * [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
5.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
5.186 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
5.186 * [backup-simplify]: Simplify 0 into 0
5.187 * [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
5.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0
5.189 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
5.189 * [backup-simplify]: Simplify 0 into 0
5.189 * [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
5.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0
5.192 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
5.192 * [backup-simplify]: Simplify 0 into 0
5.192 * [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
5.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0
5.195 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
5.195 * [backup-simplify]: Simplify 0 into 0
5.195 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (/ 1 (- x))) 2)) into (/ (* (cos (* 1/2 x)) (pow x 2)) (sin (* 1/2 x)))
5.195 * * * * [progress]: [ 2 / 2 ] generating series at (2)
5.196 * [backup-simplify]: Simplify (/ (sin x) (/ (* x x) (tan (/ x 2)))) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2))
5.196 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0
5.196 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x
5.196 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
5.196 * [taylor]: Taking taylor expansion of (sin x) in x
5.196 * [taylor]: Taking taylor expansion of x in x
5.196 * [backup-simplify]: Simplify 0 into 0
5.196 * [backup-simplify]: Simplify 1 into 1
5.196 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
5.196 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
5.196 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
5.196 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
5.196 * [taylor]: Taking taylor expansion of 1/2 in x
5.196 * [backup-simplify]: Simplify 1/2 into 1/2
5.196 * [taylor]: Taking taylor expansion of x in x
5.196 * [backup-simplify]: Simplify 0 into 0
5.196 * [backup-simplify]: Simplify 1 into 1
5.196 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.197 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.197 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
5.197 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
5.197 * [taylor]: Taking taylor expansion of 1/2 in x
5.197 * [backup-simplify]: Simplify 1/2 into 1/2
5.197 * [taylor]: Taking taylor expansion of x in x
5.197 * [backup-simplify]: Simplify 0 into 0
5.197 * [backup-simplify]: Simplify 1 into 1
5.197 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.197 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.198 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
5.198 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.198 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.198 * [taylor]: Taking taylor expansion of x in x
5.198 * [backup-simplify]: Simplify 0 into 0
5.198 * [backup-simplify]: Simplify 1 into 1
5.198 * [backup-simplify]: Simplify (* 0 1/2) into 0
5.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
5.199 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.200 * [backup-simplify]: Simplify (+ 0) into 0
5.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.201 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.201 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
5.201 * [backup-simplify]: Simplify (* 1 1) into 1
5.202 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.202 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x
5.202 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
5.202 * [taylor]: Taking taylor expansion of (sin x) in x
5.202 * [taylor]: Taking taylor expansion of x in x
5.202 * [backup-simplify]: Simplify 0 into 0
5.202 * [backup-simplify]: Simplify 1 into 1
5.202 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
5.202 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
5.202 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
5.202 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
5.202 * [taylor]: Taking taylor expansion of 1/2 in x
5.202 * [backup-simplify]: Simplify 1/2 into 1/2
5.202 * [taylor]: Taking taylor expansion of x in x
5.202 * [backup-simplify]: Simplify 0 into 0
5.202 * [backup-simplify]: Simplify 1 into 1
5.202 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.203 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.203 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
5.203 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
5.203 * [taylor]: Taking taylor expansion of 1/2 in x
5.203 * [backup-simplify]: Simplify 1/2 into 1/2
5.203 * [taylor]: Taking taylor expansion of x in x
5.203 * [backup-simplify]: Simplify 0 into 0
5.203 * [backup-simplify]: Simplify 1 into 1
5.203 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.203 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.204 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
5.204 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.204 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.204 * [taylor]: Taking taylor expansion of x in x
5.204 * [backup-simplify]: Simplify 0 into 0
5.204 * [backup-simplify]: Simplify 1 into 1
5.205 * [backup-simplify]: Simplify (* 0 1/2) into 0
5.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
5.206 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.207 * [backup-simplify]: Simplify (+ 0) into 0
5.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.208 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.208 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
5.208 * [backup-simplify]: Simplify (* 1 1) into 1
5.209 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.209 * [backup-simplify]: Simplify 1/2 into 1/2
5.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.210 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
5.211 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
5.212 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
5.212 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.213 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
5.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.214 * [backup-simplify]: Simplify 0 into 0
5.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
5.215 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
5.217 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
5.219 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.219 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24
5.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.221 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
5.221 * [backup-simplify]: Simplify -1/24 into -1/24
5.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
5.223 * [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
5.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.226 * [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
5.227 * [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
5.228 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.229 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0
5.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
5.231 * [backup-simplify]: Simplify 0 into 0
5.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
5.235 * [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
5.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
5.238 * [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
5.239 * [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
5.241 * [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
5.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720
5.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.244 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
5.244 * [backup-simplify]: Simplify 1/720 into 1/720
5.244 * [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)))
5.244 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ (* (/ 1 x) (/ 1 x)) (tan (/ (/ 1 x) 2)))) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x))))
5.244 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0
5.244 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x
5.244 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.244 * [taylor]: Taking taylor expansion of x in x
5.244 * [backup-simplify]: Simplify 0 into 0
5.244 * [backup-simplify]: Simplify 1 into 1
5.244 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x
5.244 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
5.245 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
5.245 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
5.245 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
5.245 * [taylor]: Taking taylor expansion of 1/2 in x
5.245 * [backup-simplify]: Simplify 1/2 into 1/2
5.245 * [taylor]: Taking taylor expansion of x in x
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify 1 into 1
5.245 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.245 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
5.245 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
5.245 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
5.245 * [taylor]: Taking taylor expansion of 1/2 in x
5.245 * [backup-simplify]: Simplify 1/2 into 1/2
5.245 * [taylor]: Taking taylor expansion of x in x
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify 1 into 1
5.245 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.245 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
5.245 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
5.245 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
5.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.246 * [taylor]: Taking taylor expansion of x in x
5.246 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify 1 into 1
5.246 * [backup-simplify]: Simplify (/ 1 1) into 1
5.246 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
5.246 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x
5.246 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.246 * [taylor]: Taking taylor expansion of x in x
5.246 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify 1 into 1
5.246 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x
5.246 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
5.246 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
5.246 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
5.246 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
5.246 * [taylor]: Taking taylor expansion of 1/2 in x
5.246 * [backup-simplify]: Simplify 1/2 into 1/2
5.246 * [taylor]: Taking taylor expansion of x in x
5.246 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify 1 into 1
5.246 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.246 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
5.246 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
5.246 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
5.246 * [taylor]: Taking taylor expansion of 1/2 in x
5.246 * [backup-simplify]: Simplify 1/2 into 1/2
5.246 * [taylor]: Taking taylor expansion of x in x
5.247 * [backup-simplify]: Simplify 0 into 0
5.247 * [backup-simplify]: Simplify 1 into 1
5.247 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.247 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
5.247 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
5.247 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
5.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.247 * [taylor]: Taking taylor expansion of x in x
5.247 * [backup-simplify]: Simplify 0 into 0
5.247 * [backup-simplify]: Simplify 1 into 1
5.247 * [backup-simplify]: Simplify (/ 1 1) into 1
5.247 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
5.248 * [backup-simplify]: Simplify (* 1 1) into 1
5.248 * [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)))
5.248 * [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)))
5.248 * [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)))
5.248 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
5.248 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
5.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0
5.249 * [backup-simplify]: Simplify 0 into 0
5.249 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
5.250 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
5.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
5.251 * [backup-simplify]: Simplify 0 into 0
5.252 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
5.252 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
5.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0
5.254 * [backup-simplify]: Simplify 0 into 0
5.255 * [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
5.256 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
5.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.258 * [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
5.258 * [backup-simplify]: Simplify 0 into 0
5.259 * [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
5.260 * [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
5.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.263 * [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
5.263 * [backup-simplify]: Simplify 0 into 0
5.264 * [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
5.265 * [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
5.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.269 * [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
5.269 * [backup-simplify]: Simplify 0 into 0
5.269 * [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)))
5.269 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ (* (/ 1 (- x)) (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x))))
5.269 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0
5.269 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
5.269 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.269 * [taylor]: Taking taylor expansion of x in x
5.269 * [backup-simplify]: Simplify 0 into 0
5.269 * [backup-simplify]: Simplify 1 into 1
5.269 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
5.269 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
5.269 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
5.269 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
5.270 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
5.270 * [taylor]: Taking taylor expansion of -1/2 in x
5.270 * [backup-simplify]: Simplify -1/2 into -1/2
5.270 * [taylor]: Taking taylor expansion of x in x
5.270 * [backup-simplify]: Simplify 0 into 0
5.270 * [backup-simplify]: Simplify 1 into 1
5.270 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
5.270 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
5.270 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
5.270 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
5.270 * [taylor]: Taking taylor expansion of -1/2 in x
5.270 * [backup-simplify]: Simplify -1/2 into -1/2
5.270 * [taylor]: Taking taylor expansion of x in x
5.270 * [backup-simplify]: Simplify 0 into 0
5.270 * [backup-simplify]: Simplify 1 into 1
5.271 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
5.271 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
5.271 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
5.271 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
5.271 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.271 * [taylor]: Taking taylor expansion of -1 in x
5.271 * [backup-simplify]: Simplify -1 into -1
5.271 * [taylor]: Taking taylor expansion of x in x
5.271 * [backup-simplify]: Simplify 0 into 0
5.271 * [backup-simplify]: Simplify 1 into 1
5.271 * [backup-simplify]: Simplify (/ -1 1) into -1
5.271 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
5.271 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
5.271 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.272 * [taylor]: Taking taylor expansion of x in x
5.272 * [backup-simplify]: Simplify 0 into 0
5.272 * [backup-simplify]: Simplify 1 into 1
5.272 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
5.272 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
5.272 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
5.272 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
5.272 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
5.272 * [taylor]: Taking taylor expansion of -1/2 in x
5.272 * [backup-simplify]: Simplify -1/2 into -1/2
5.272 * [taylor]: Taking taylor expansion of x in x
5.272 * [backup-simplify]: Simplify 0 into 0
5.272 * [backup-simplify]: Simplify 1 into 1
5.272 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
5.272 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
5.272 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
5.272 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
5.272 * [taylor]: Taking taylor expansion of -1/2 in x
5.272 * [backup-simplify]: Simplify -1/2 into -1/2
5.272 * [taylor]: Taking taylor expansion of x in x
5.272 * [backup-simplify]: Simplify 0 into 0
5.272 * [backup-simplify]: Simplify 1 into 1
5.273 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
5.273 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
5.273 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
5.273 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
5.273 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.273 * [taylor]: Taking taylor expansion of -1 in x
5.273 * [backup-simplify]: Simplify -1 into -1
5.273 * [taylor]: Taking taylor expansion of x in x
5.273 * [backup-simplify]: Simplify 0 into 0
5.273 * [backup-simplify]: Simplify 1 into 1
5.273 * [backup-simplify]: Simplify (/ -1 1) into -1
5.273 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
5.274 * [backup-simplify]: Simplify (* 1 1) into 1
5.274 * [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)))
5.274 * [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)))
5.274 * [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)))
5.274 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
5.274 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
5.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0
5.275 * [backup-simplify]: Simplify 0 into 0
5.275 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
5.276 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
5.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
5.277 * [backup-simplify]: Simplify 0 into 0
5.277 * [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
5.278 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
5.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0
5.280 * [backup-simplify]: Simplify 0 into 0
5.281 * [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
5.282 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
5.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.284 * [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
5.284 * [backup-simplify]: Simplify 0 into 0
5.285 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
5.286 * [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
5.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.288 * [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
5.288 * [backup-simplify]: Simplify 0 into 0
5.289 * [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
5.290 * [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
5.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.293 * [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
5.293 * [backup-simplify]: Simplify 0 into 0
5.293 * [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)))
5.293 * * * [progress]: simplifying candidates
5.293 * * * * [progress]: [ 1 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (log1p (expm1 (/ (* x x) (tan (/ x 2)))))))>
5.293 * * * * [progress]: [ 2 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (expm1 (log1p (/ (* x x) (tan (/ x 2)))))))>
5.293 * * * * [progress]: [ 3 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (pow (/ (* x x) (tan (/ x 2))) 1)))>
5.293 * * * * [progress]: [ 4 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (exp (- (+ (log x) (log x)) (log (tan (/ x 2)))))))>
5.293 * * * * [progress]: [ 5 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (exp (- (log (* x x)) (log (tan (/ x 2)))))))>
5.293 * * * * [progress]: [ 6 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (exp (log (/ (* x x) (tan (/ x 2)))))))>
5.293 * * * * [progress]: [ 7 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (log (exp (/ (* x x) (tan (/ x 2)))))))>
5.294 * * * * [progress]: [ 8 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (cbrt (/ (* (* (* x x) x) (* (* x x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))))))>
5.294 * * * * [progress]: [ 9 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (cbrt (/ (* (* (* x x) (* x x)) (* x x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))))))>
5.294 * * * * [progress]: [ 10 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (* (* (cbrt (/ (* x x) (tan (/ x 2)))) (cbrt (/ (* x x) (tan (/ x 2))))) (cbrt (/ (* x x) (tan (/ x 2)))))))>
5.294 * * * * [progress]: [ 11 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (cbrt (* (* (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2)))) (/ (* x x) (tan (/ x 2)))))))>
5.294 * * * * [progress]: [ 12 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (* (sqrt (/ (* x x) (tan (/ x 2)))) (sqrt (/ (* x x) (tan (/ x 2)))))))>
5.294 * * * * [progress]: [ 13 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (/ (- (* x x)) (- (tan (/ x 2))))))>
5.294 * * * * [progress]: [ 14 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (* (/ x (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (/ x (cbrt (tan (/ x 2)))))))>
5.294 * * * * [progress]: [ 15 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (* (/ x (sqrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))))))>
5.294 * * * * [progress]: [ 16 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (* (/ x 1) (/ x (tan (/ x 2))))))>
5.294 * * * * [progress]: [ 17 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (* 1 (/ (* x x) (tan (/ x 2))))))>
5.294 * * * * [progress]: [ 18 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (* (* x x) (/ 1 (tan (/ x 2))))))>
5.294 * * * * [progress]: [ 19 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (/ 1 (/ (tan (/ x 2)) (* x x)))))>
5.294 * * * * [progress]: [ 20 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (/ (/ (* x x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (cbrt (tan (/ x 2))))))>
5.294 * * * * [progress]: [ 21 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (/ (/ (* x x) (sqrt (tan (/ x 2)))) (sqrt (tan (/ x 2))))))>
5.294 * * * * [progress]: [ 22 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (/ (/ (* x x) 1) (tan (/ x 2)))))>
5.294 * * * * [progress]: [ 23 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (/ x (/ (tan (/ x 2)) x))))>
5.294 * * * * [progress]: [ 24 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (* (/ (* x x) (sin (/ x 2))) (cos (/ x 2)))))>
5.294 * * * * [progress]: [ 25 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (posit16->real (real->posit16 (/ (* x x) (tan (/ x 2)))))))>
5.294 * * * * [progress]: [ 26 / 86 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (/ (sin x) (/ (* x x) (tan (/ x 2)))))))>
5.295 * * * * [progress]: [ 27 / 86 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (/ (sin x) (/ (* x x) (tan (/ x 2)))))))>
5.295 * * * * [progress]: [ 28 / 86 ] simplifiying candidate #<alt (λ (x) (pow (/ (sin x) (/ (* x x) (tan (/ x 2)))) 1))>
5.295 * * * * [progress]: [ 29 / 86 ] simplifiying candidate #<alt (λ (x) (exp (- (log (sin x)) (- (+ (log x) (log x)) (log (tan (/ x 2)))))))>
5.295 * * * * [progress]: [ 30 / 86 ] simplifiying candidate #<alt (λ (x) (exp (- (log (sin x)) (- (log (* x x)) (log (tan (/ x 2)))))))>
5.295 * * * * [progress]: [ 31 / 86 ] simplifiying candidate #<alt (λ (x) (exp (- (log (sin x)) (log (/ (* x x) (tan (/ x 2)))))))>
5.295 * * * * [progress]: [ 32 / 86 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (sin x) (/ (* x x) (tan (/ x 2)))))))>
5.295 * * * * [progress]: [ 33 / 86 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (sin x) (/ (* x x) (tan (/ x 2)))))))>
5.295 * * * * [progress]: [ 34 / 86 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (sin x) (sin x)) (sin x)) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))))))>
5.295 * * * * [progress]: [ 35 / 86 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (sin x) (sin x)) (sin x)) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))))))>
5.295 * * * * [progress]: [ 36 / 86 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (sin x) (sin x)) (sin x)) (* (* (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2)))) (/ (* x x) (tan (/ x 2)))))))>
5.295 * * * * [progress]: [ 37 / 86 ] simplifiying candidate #<alt (λ (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)))))))>
5.295 * * * * [progress]: [ 38 / 86 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (/ (sin x) (/ (* x x) (tan (/ x 2)))) (/ (sin x) (/ (* x x) (tan (/ x 2))))) (/ (sin x) (/ (* x x) (tan (/ x 2)))))))>
5.295 * * * * [progress]: [ 39 / 86 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (sin x) (/ (* x x) (tan (/ x 2))))) (sqrt (/ (sin x) (/ (* x x) (tan (/ x 2)))))))>
5.295 * * * * [progress]: [ 40 / 86 ] simplifiying candidate #<alt (λ (x) (/ (- (sin x)) (- (/ (* x x) (tan (/ x 2))))))>
5.295 * * * * [progress]: [ 41 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (/ (* x x) (tan (/ x 2)))) (cbrt (/ (* x x) (tan (/ x 2)))))) (/ (cbrt (sin x)) (cbrt (/ (* x x) (tan (/ x 2)))))))>
5.295 * * * * [progress]: [ 42 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (/ (* x x) (tan (/ x 2))))) (/ (cbrt (sin x)) (sqrt (/ (* x x) (tan (/ x 2)))))))>
5.295 * * * * [progress]: [ 43 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ x (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))))) (/ (cbrt (sin x)) (/ x (cbrt (tan (/ x 2)))))))>
5.295 * * * * [progress]: [ 44 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ x (sqrt (tan (/ x 2))))) (/ (cbrt (sin x)) (/ x (sqrt (tan (/ x 2)))))))>
5.296 * * * * [progress]: [ 45 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ x 1)) (/ (cbrt (sin x)) (/ x (tan (/ x 2))))))>
5.296 * * * * [progress]: [ 46 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (/ (* x x) (tan (/ x 2))))))>
5.296 * * * * [progress]: [ 47 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (* x x)) (/ (cbrt (sin x)) (/ 1 (tan (/ x 2))))))>
5.296 * * * * [progress]: [ 48 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (* x x) (sin (/ x 2)))) (/ (cbrt (sin x)) (cos (/ x 2)))))>
5.296 * * * * [progress]: [ 49 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) (* (cbrt (/ (* x x) (tan (/ x 2)))) (cbrt (/ (* x x) (tan (/ x 2)))))) (/ (sqrt (sin x)) (cbrt (/ (* x x) (tan (/ x 2)))))))>
5.296 * * * * [progress]: [ 50 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) (sqrt (/ (* x x) (tan (/ x 2))))) (/ (sqrt (sin x)) (sqrt (/ (* x x) (tan (/ x 2)))))))>
5.296 * * * * [progress]: [ 51 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) (/ x (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))))) (/ (sqrt (sin x)) (/ x (cbrt (tan (/ x 2)))))))>
5.296 * * * * [progress]: [ 52 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) (/ x (sqrt (tan (/ x 2))))) (/ (sqrt (sin x)) (/ x (sqrt (tan (/ x 2)))))))>
5.296 * * * * [progress]: [ 53 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) (/ x 1)) (/ (sqrt (sin x)) (/ x (tan (/ x 2))))))>
5.296 * * * * [progress]: [ 54 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (/ (* x x) (tan (/ x 2))))))>
5.296 * * * * [progress]: [ 55 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) (* x x)) (/ (sqrt (sin x)) (/ 1 (tan (/ x 2))))))>
5.296 * * * * [progress]: [ 56 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) (/ (* x x) (sin (/ x 2)))) (/ (sqrt (sin x)) (cos (/ x 2)))))>
5.296 * * * * [progress]: [ 57 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (cbrt (/ (* x x) (tan (/ x 2)))) (cbrt (/ (* x x) (tan (/ x 2)))))) (/ (sin x) (cbrt (/ (* x x) (tan (/ x 2)))))))>
5.296 * * * * [progress]: [ 58 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt (/ (* x x) (tan (/ x 2))))) (/ (sin x) (sqrt (/ (* x x) (tan (/ x 2)))))))>
5.296 * * * * [progress]: [ 59 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (/ x (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))))) (/ (sin x) (/ x (cbrt (tan (/ x 2)))))))>
5.296 * * * * [progress]: [ 60 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (/ x (sqrt (tan (/ x 2))))) (/ (sin x) (/ x (sqrt (tan (/ x 2)))))))>
5.296 * * * * [progress]: [ 61 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (/ x 1)) (/ (sin x) (/ x (tan (/ x 2))))))>
5.296 * * * * [progress]: [ 62 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ 1 1) (/ (sin x) (/ (* x x) (tan (/ x 2))))))>
5.296 * * * * [progress]: [ 63 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* x x)) (/ (sin x) (/ 1 (tan (/ x 2))))))>
5.296 * * * * [progress]: [ 64 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (/ (* x x) (sin (/ x 2)))) (/ (sin x) (cos (/ x 2)))))>
5.296 * * * * [progress]: [ 65 / 86 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (sin x) (/ (* x x) (tan (/ x 2))))))>
5.296 * * * * [progress]: [ 66 / 86 ] simplifiying candidate #<alt (λ (x) (* (sin x) (/ 1 (/ (* x x) (tan (/ x 2))))))>
5.296 * * * * [progress]: [ 67 / 86 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (/ (* x x) (tan (/ x 2))) (sin x))))>
5.297 * * * * [progress]: [ 68 / 86 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (* (cbrt (/ (* x x) (tan (/ x 2)))) (cbrt (/ (* x x) (tan (/ x 2)))))) (cbrt (/ (* x x) (tan (/ x 2))))))>
5.297 * * * * [progress]: [ 69 / 86 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (sqrt (/ (* x x) (tan (/ x 2))))) (sqrt (/ (* x x) (tan (/ x 2))))))>
5.297 * * * * [progress]: [ 70 / 86 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (/ x (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))))) (/ x (cbrt (tan (/ x 2))))))>
5.297 * * * * [progress]: [ 71 / 86 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (/ x (sqrt (tan (/ x 2))))) (/ x (sqrt (tan (/ x 2))))))>
5.297 * * * * [progress]: [ 72 / 86 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (/ x 1)) (/ x (tan (/ x 2)))))>
5.297 * * * * [progress]: [ 73 / 86 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (/ (* x x) (tan (/ x 2)))))>
5.297 * * * * [progress]: [ 74 / 86 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (* x x)) (/ 1 (tan (/ x 2)))))>
5.297 * * * * [progress]: [ 75 / 86 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (/ (* x x) (sin (/ x 2)))) (cos (/ x 2))))>
5.297 * * * * [progress]: [ 76 / 86 ] simplifiying candidate #<alt (λ (x) (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (/ (* x x) (tan (/ x 2))) (cbrt (sin x)))))>
5.297 * * * * [progress]: [ 77 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sqrt (sin x)) (/ (/ (* x x) (tan (/ x 2))) (sqrt (sin x)))))>
5.297 * * * * [progress]: [ 78 / 86 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (/ (* x x) (tan (/ x 2))) (sin x))))>
5.297 * * * * [progress]: [ 79 / 86 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) (* x x)) (tan (/ x 2))))>
5.297 * * * * [progress]: [ 80 / 86 ] simplifiying candidate #<alt (λ (x) (posit16->real (real->posit16 (/ (sin x) (/ (* x x) (tan (/ x 2)))))))>
5.297 * * * * [progress]: [ 81 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (- (* 2 x) (+ (* 1/6 (pow x 3)) (* 1/360 (pow x 5))))))>
5.297 * * * * [progress]: [ 82 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (/ (* (cos (* 1/2 x)) (pow x 2)) (sin (* 1/2 x)))))>
5.297 * * * * [progress]: [ 83 / 86 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (/ (* (cos (* 1/2 x)) (pow x 2)) (sin (* 1/2 x)))))>
5.297 * * * * [progress]: [ 84 / 86 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
5.297 * * * * [progress]: [ 85 / 86 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
5.297 * * * * [progress]: [ 86 / 86 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
5.298 * [simplify]: Simplifying:
  (expm1 (/ (* x x) (tan (/ x 2))))
  (log1p (/ (* x x) (tan (/ x 2))))
  (- (+ (log x) (log x)) (log (tan (/ x 2))))
  (- (log (* x x)) (log (tan (/ x 2))))
  (log (/ (* x x) (tan (/ x 2))))
  (exp (/ (* x x) (tan (/ x 2))))
  (/ (* (* (* x x) x) (* (* x x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))))
  (/ (* (* (* x x) (* x x)) (* x x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))))
  (* (cbrt (/ (* x x) (tan (/ x 2)))) (cbrt (/ (* x x) (tan (/ x 2)))))
  (cbrt (/ (* x x) (tan (/ x 2))))
  (* (* (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2)))) (/ (* x x) (tan (/ x 2))))
  (sqrt (/ (* x x) (tan (/ x 2))))
  (sqrt (/ (* x x) (tan (/ x 2))))
  (- (* x x))
  (- (tan (/ x 2)))
  (/ x (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))))
  (/ x (cbrt (tan (/ x 2))))
  (/ x (sqrt (tan (/ x 2))))
  (/ x (sqrt (tan (/ x 2))))
  (/ x 1)
  (/ x (tan (/ x 2)))
  (/ 1 (tan (/ x 2)))
  (/ (tan (/ x 2)) (* x x))
  (/ (* x x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))))
  (/ (* x x) (sqrt (tan (/ x 2))))
  (/ (* x x) 1)
  (/ (tan (/ x 2)) x)
  (/ (* x x) (sin (/ x 2)))
  (real->posit16 (/ (* x x) (tan (/ x 2))))
  (expm1 (/ (sin x) (/ (* x x) (tan (/ x 2)))))
  (log1p (/ (sin x) (/ (* x x) (tan (/ x 2)))))
  (- (log (sin x)) (- (+ (log x) (log x)) (log (tan (/ x 2)))))
  (- (log (sin x)) (- (log (* x x)) (log (tan (/ x 2)))))
  (- (log (sin x)) (log (/ (* x x) (tan (/ x 2)))))
  (log (/ (sin x) (/ (* x x) (tan (/ x 2)))))
  (exp (/ (sin x) (/ (* x x) (tan (/ x 2)))))
  (/ (* (* (sin x) (sin x)) (sin x)) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))))
  (/ (* (* (sin x) (sin x)) (sin x)) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))))
  (/ (* (* (sin x) (sin x)) (sin x)) (* (* (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2)))) (/ (* x x) (tan (/ x 2)))))
  (* (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 x) (tan (/ x 2)))) (/ (sin x) (/ (* x x) (tan (/ x 2))))) (/ (sin x) (/ (* x x) (tan (/ x 2)))))
  (sqrt (/ (sin x) (/ (* x x) (tan (/ x 2)))))
  (sqrt (/ (sin x) (/ (* x x) (tan (/ x 2)))))
  (- (sin x))
  (- (/ (* x x) (tan (/ x 2))))
  (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (/ (* x x) (tan (/ x 2)))) (cbrt (/ (* x x) (tan (/ x 2))))))
  (/ (cbrt (sin x)) (cbrt (/ (* x x) (tan (/ x 2)))))
  (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (/ (* x x) (tan (/ x 2)))))
  (/ (cbrt (sin x)) (sqrt (/ (* x x) (tan (/ x 2)))))
  (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ x (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))))
  (/ (cbrt (sin x)) (/ x (cbrt (tan (/ x 2)))))
  (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ x (sqrt (tan (/ x 2)))))
  (/ (cbrt (sin x)) (/ x (sqrt (tan (/ x 2)))))
  (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ x 1))
  (/ (cbrt (sin x)) (/ x (tan (/ x 2))))
  (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)
  (/ (cbrt (sin x)) (/ (* x x) (tan (/ x 2))))
  (/ (* (cbrt (sin x)) (cbrt (sin x))) (* x x))
  (/ (cbrt (sin x)) (/ 1 (tan (/ x 2))))
  (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (* x x) (sin (/ x 2))))
  (/ (cbrt (sin x)) (cos (/ x 2)))
  (/ (sqrt (sin x)) (* (cbrt (/ (* x x) (tan (/ x 2)))) (cbrt (/ (* x x) (tan (/ x 2))))))
  (/ (sqrt (sin x)) (cbrt (/ (* x x) (tan (/ x 2)))))
  (/ (sqrt (sin x)) (sqrt (/ (* x x) (tan (/ x 2)))))
  (/ (sqrt (sin x)) (sqrt (/ (* x x) (tan (/ x 2)))))
  (/ (sqrt (sin x)) (/ x (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))))
  (/ (sqrt (sin x)) (/ x (cbrt (tan (/ x 2)))))
  (/ (sqrt (sin x)) (/ x (sqrt (tan (/ x 2)))))
  (/ (sqrt (sin x)) (/ x (sqrt (tan (/ x 2)))))
  (/ (sqrt (sin x)) (/ x 1))
  (/ (sqrt (sin x)) (/ x (tan (/ x 2))))
  (/ (sqrt (sin x)) 1)
  (/ (sqrt (sin x)) (/ (* x x) (tan (/ x 2))))
  (/ (sqrt (sin x)) (* x x))
  (/ (sqrt (sin x)) (/ 1 (tan (/ x 2))))
  (/ (sqrt (sin x)) (/ (* x x) (sin (/ x 2))))
  (/ (sqrt (sin x)) (cos (/ x 2)))
  (/ 1 (* (cbrt (/ (* x x) (tan (/ x 2)))) (cbrt (/ (* x x) (tan (/ x 2))))))
  (/ (sin x) (cbrt (/ (* x x) (tan (/ x 2)))))
  (/ 1 (sqrt (/ (* x x) (tan (/ x 2)))))
  (/ (sin x) (sqrt (/ (* x x) (tan (/ x 2)))))
  (/ 1 (/ x (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))))
  (/ (sin x) (/ x (cbrt (tan (/ x 2)))))
  (/ 1 (/ x (sqrt (tan (/ x 2)))))
  (/ (sin x) (/ x (sqrt (tan (/ x 2)))))
  (/ 1 (/ x 1))
  (/ (sin x) (/ x (tan (/ x 2))))
  (/ 1 1)
  (/ (sin x) (/ (* x x) (tan (/ x 2))))
  (/ 1 (* x x))
  (/ (sin x) (/ 1 (tan (/ x 2))))
  (/ 1 (/ (* x x) (sin (/ x 2))))
  (/ (sin x) (cos (/ x 2)))
  (/ 1 (/ (* x x) (tan (/ x 2))))
  (/ (/ (* x x) (tan (/ x 2))) (sin x))
  (/ (sin x) (* (cbrt (/ (* x x) (tan (/ x 2)))) (cbrt (/ (* x x) (tan (/ x 2))))))
  (/ (sin x) (sqrt (/ (* x x) (tan (/ x 2)))))
  (/ (sin x) (/ x (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))))
  (/ (sin x) (/ x (sqrt (tan (/ x 2)))))
  (/ (sin x) (/ x 1))
  (/ (sin x) 1)
  (/ (sin x) (* x x))
  (/ (sin x) (/ (* x x) (sin (/ x 2))))
  (/ (/ (* x x) (tan (/ x 2))) (cbrt (sin x)))
  (/ (/ (* x x) (tan (/ x 2))) (sqrt (sin x)))
  (/ (/ (* x x) (tan (/ x 2))) (sin x))
  (/ (sin x) (* x x))
  (real->posit16 (/ (sin x) (/ (* x x) (tan (/ x 2)))))
  (- (* 2 x) (+ (* 1/6 (pow x 3)) (* 1/360 (pow x 5))))
  (/ (* (cos (* 1/2 x)) (pow x 2)) (sin (* 1/2 x)))
  (/ (* (cos (* 1/2 x)) (pow x 2)) (sin (* 1/2 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)))
5.299 * * [simplify]: iteration 0: 159 enodes
5.353 * * [simplify]: iteration 1: 421 enodes
5.523 * * [simplify]: iteration 2: 1640 enodes
5.947 * * [simplify]: iteration 3: 2045 enodes
6.338 * * [simplify]: iteration complete: 2045 enodes
6.338 * * [simplify]: Extracting #0: cost 95 inf + 0
6.339 * * [simplify]: Extracting #1: cost 515 inf + 43
6.344 * * [simplify]: Extracting #2: cost 766 inf + 8113
6.359 * * [simplify]: Extracting #3: cost 531 inf + 33940
6.385 * * [simplify]: Extracting #4: cost 232 inf + 114018
6.426 * * [simplify]: Extracting #5: cost 28 inf + 184231
6.471 * * [simplify]: Extracting #6: cost 0 inf + 194673
6.520 * [simplify]: Simplified to:
  (expm1 (/ (* x x) (tan (/ x 2))))
  (log1p (/ (* x x) (tan (/ x 2))))
  (log (/ (* x x) (tan (/ x 2))))
  (log (/ (* x x) (tan (/ x 2))))
  (log (/ (* x x) (tan (/ x 2))))
  (exp (/ (* x x) (tan (/ x 2))))
  (* (* (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2)))) (/ (* x x) (tan (/ x 2))))
  (* (* (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2)))) (/ (* x x) (tan (/ x 2))))
  (* (cbrt (/ (* x x) (tan (/ x 2)))) (cbrt (/ (* x x) (tan (/ x 2)))))
  (cbrt (/ (* x x) (tan (/ x 2))))
  (* (* (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2)))) (/ (* x x) (tan (/ x 2))))
  (sqrt (/ (* x x) (tan (/ x 2))))
  (sqrt (/ (* x x) (tan (/ x 2))))
  (- (* x x))
  (- (tan (/ x 2)))
  (/ (/ x (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2))))
  (/ x (cbrt (tan (/ x 2))))
  (/ x (sqrt (tan (/ x 2))))
  (/ x (sqrt (tan (/ x 2))))
  x
  (/ x (tan (/ x 2)))
  (/ 1 (tan (/ x 2)))
  (/ (/ (tan (/ x 2)) x) x)
  (* (/ x (cbrt (tan (/ x 2)))) (/ x (cbrt (tan (/ x 2)))))
  (/ (* x x) (sqrt (tan (/ x 2))))
  (* x x)
  (/ (tan (/ x 2)) x)
  (/ (* x x) (sin (/ x 2)))
  (real->posit16 (/ (* x x) (tan (/ x 2))))
  (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 x) (tan (/ x 2)))) (/ (sin x) (/ (* x x) (tan (/ x 2))))) (/ (sin x) (/ (* x x) (tan (/ x 2)))))
  (* (* (/ (sin x) (/ (* x x) (tan (/ x 2)))) (/ (sin x) (/ (* x x) (tan (/ x 2))))) (/ (sin x) (/ (* x x) (tan (/ x 2)))))
  (* (* (/ (sin x) (/ (* x x) (tan (/ x 2)))) (/ (sin x) (/ (* x x) (tan (/ x 2))))) (/ (sin x) (/ (* x x) (tan (/ x 2)))))
  (* (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 x)) (tan (/ x 2))) (* (/ (sin x) (* x x)) (tan (/ x 2)))) (* (/ (sin x) (* x x)) (tan (/ x 2))))
  (sqrt (* (/ (sin x) (* x x)) (tan (/ x 2))))
  (sqrt (* (/ (sin x) (* x x)) (tan (/ x 2))))
  (- (sin x))
  (- (/ (* x x) (tan (/ x 2))))
  (* (/ (cbrt (sin x)) (cbrt (/ (* x x) (tan (/ x 2))))) (/ (cbrt (sin x)) (cbrt (/ (* x x) (tan (/ x 2))))))
  (/ (cbrt (sin x)) (cbrt (/ (* x x) (tan (/ x 2)))))
  (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (/ (* x x) (tan (/ x 2)))))
  (/ (cbrt (sin x)) (sqrt (/ (* x x) (tan (/ x 2)))))
  (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (/ x (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))))
  (/ (* (cbrt (sin x)) (cbrt (tan (/ x 2)))) x)
  (* (/ (* (cbrt (sin x)) (cbrt (sin x))) x) (sqrt (tan (/ x 2))))
  (* (sqrt (tan (/ x 2))) (/ (cbrt (sin x)) x))
  (/ (* (cbrt (sin x)) (cbrt (sin x))) x)
  (* (/ (cbrt (sin x)) x) (tan (/ x 2)))
  (* (cbrt (sin x)) (cbrt (sin x)))
  (* (/ (/ (cbrt (sin x)) x) x) (tan (/ x 2)))
  (* (/ (cbrt (sin x)) x) (/ (cbrt (sin x)) x))
  (* (tan (/ x 2)) (cbrt (sin x)))
  (* (* (/ (cbrt (sin x)) x) (/ (cbrt (sin x)) x)) (sin (/ x 2)))
  (/ (cbrt (sin x)) (cos (/ x 2)))
  (/ (sqrt (sin x)) (* (cbrt (/ (* x x) (tan (/ x 2)))) (cbrt (/ (* x x) (tan (/ x 2))))))
  (/ (sqrt (sin x)) (cbrt (/ (* x x) (tan (/ x 2)))))
  (/ (sqrt (sin x)) (sqrt (/ (* x x) (tan (/ x 2)))))
  (/ (sqrt (sin x)) (sqrt (/ (* x x) (tan (/ x 2)))))
  (* (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (sqrt (sin x)) x))
  (* (/ (sqrt (sin x)) x) (cbrt (tan (/ x 2))))
  (* (sqrt (tan (/ x 2))) (/ (sqrt (sin x)) x))
  (* (sqrt (tan (/ x 2))) (/ (sqrt (sin x)) x))
  (/ (sqrt (sin x)) x)
  (/ (* (tan (/ x 2)) (sqrt (sin x))) x)
  (sqrt (sin x))
  (* (tan (/ x 2)) (/ (sqrt (sin x)) (* x x)))
  (/ (sqrt (sin x)) (* x x))
  (* (tan (/ x 2)) (sqrt (sin x)))
  (/ (sqrt (sin x)) (/ (* x x) (sin (/ x 2))))
  (/ (sqrt (sin x)) (cos (/ x 2)))
  (/ 1 (* (cbrt (/ (* x x) (tan (/ x 2)))) (cbrt (/ (* x x) (tan (/ x 2))))))
  (/ (sin x) (cbrt (/ (* x x) (tan (/ x 2)))))
  (/ 1 (sqrt (/ (* x x) (tan (/ x 2)))))
  (/ (sin x) (sqrt (/ (* x x) (tan (/ x 2)))))
  (* (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ 1 x))
  (* (/ (sin x) x) (cbrt (tan (/ x 2))))
  (/ 1 (/ x (sqrt (tan (/ x 2)))))
  (* (sqrt (tan (/ x 2))) (/ (sin x) x))
  (/ 1 x)
  (/ (* (sin x) (tan (/ x 2))) x)
  1
  (* (/ (sin x) (* x x)) (tan (/ x 2)))
  (/ (/ 1 x) x)
  (* (sin x) (tan (/ x 2)))
  (/ 1 (/ (* x x) (sin (/ x 2))))
  (/ (sin x) (cos (/ x 2)))
  (* (tan (/ x 2)) (/ 1 (* x x)))
  (* (/ x (sin x)) (/ x (tan (/ x 2))))
  (/ (/ (sin x) (cbrt (/ (* x x) (tan (/ x 2))))) (cbrt (/ (* x x) (tan (/ x 2)))))
  (/ (sin x) (sqrt (/ (* x x) (tan (/ x 2)))))
  (* (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (sin x) x))
  (* (sqrt (tan (/ x 2))) (/ (sin x) x))
  (/ (sin x) x)
  (sin x)
  (/ (sin x) (* x x))
  (* (sin (/ x 2)) (/ (sin x) (* x x)))
  (* (/ x (cbrt (sin x))) (/ x (tan (/ x 2))))
  (/ (/ (* x x) (sqrt (sin x))) (tan (/ x 2)))
  (* (/ x (sin x)) (/ x (tan (/ x 2))))
  (/ (sin x) (* x x))
  (real->posit16 (* (/ (sin x) (* x x)) (tan (/ x 2))))
  (- (* x 2) (fma (pow x 5) 1/360 (* (* x (* x x)) 1/6)))
  (/ (* (* x x) (cos (* x 1/2))) (sin (* x 1/2)))
  (/ (* (* x x) (cos (* x 1/2))) (sin (* x 1/2)))
  (fma (* x x) -1/24 (fma 1/720 (* (* x x) (* x x)) 1/2))
  (* (/ (sin (* x 1/2)) (cos (* x 1/2))) (/ (sin x) (* x x)))
  (* (/ (sin (* x 1/2)) (cos (* x 1/2))) (/ (sin x) (* x x)))
6.526 * * * [progress]: adding candidates to table
6.882 * [progress]: [Phase 3 of 3] Extracting.
6.882 * * [regime]: Finding splitpoints for: (#<alt (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x)))> #<alt (λ (x) (/ (/ (sin x) x) (/ x (tan (/ x 2)))))> #<alt (λ (x) (* (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x)))> #<alt (λ (x) (* (/ (sin x) (* x x)) (tan (/ x 2))))> #<alt (λ (x) (/ (/ (cbrt (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x)))) (+ 1 (cos x))) (* x x)))> #<alt (λ (x) (/ (* (sin x) (tan (/ x 2))) (* x x)))> #<alt (λ (x) (/ (sin x) (/ (* (* x x) (cos (* x 1/2))) (sin (* x 1/2)))))>)
6.883 * * * [regime-changes]: Trying 1 branch expressions: (x)
6.883 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x)))> #<alt (λ (x) (/ (/ (sin x) x) (/ x (tan (/ x 2)))))> #<alt (λ (x) (* (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x)))> #<alt (λ (x) (* (/ (sin x) (* x x)) (tan (/ x 2))))> #<alt (λ (x) (/ (/ (cbrt (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x)))) (+ 1 (cos x))) (* x x)))> #<alt (λ (x) (/ (* (sin x) (tan (/ x 2))) (* x x)))> #<alt (λ (x) (/ (sin x) (/ (* (* x x) (cos (* x 1/2))) (sin (* x 1/2)))))>)
6.913 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
6.913 * [simplify]: Simplifying:
  (/ (/ (sin x) x) (/ x (tan (/ x 2))))
6.913 * * [simplify]: iteration 0: 8 enodes
6.914 * * [simplify]: iteration complete: 8 enodes
6.914 * * [simplify]: Extracting #0: cost 1 inf + 0
6.914 * * [simplify]: Extracting #1: cost 3 inf + 0
6.914 * * [simplify]: Extracting #2: cost 6 inf + 0
6.914 * * [simplify]: Extracting #3: cost 6 inf + 1
6.914 * * [simplify]: Extracting #4: cost 5 inf + 163
6.914 * * [simplify]: Extracting #5: cost 0 inf + 837
6.914 * [simplify]: Simplified to:
  (/ (/ (sin x) x) (/ x (tan (/ x 2))))
11.532 * [regime-testing]: Baseline error score: 0.1266596096340998
11.534 * [regime-testing]: Oracle error score: 0.01142546786133001
11.540 * [regime-testing]: End program error score: 0.1266596096340998