0.003 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.099 * * * [progress]: [2/2] Setting up program.
0.102 * [progress]: [Phase 2 of 3] Improving.
0.102 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))>
0.102 * [simplify]: Simplifying (/ (- 1 (cos x)) (* x x))
0.102 * * [simplify]: iteration 1: (6 enodes)
0.104 * * [simplify]: iteration 2: (27 enodes)
0.110 * * [simplify]: iteration 3: (45 enodes)
0.118 * * [simplify]: iteration 4: (56 enodes)
0.127 * * [simplify]: iteration 5: (60 enodes)
0.137 * * [simplify]: Extracting #0: cost 1 inf + 0
0.137 * * [simplify]: Extracting #1: cost 9 inf + 0
0.137 * * [simplify]: Extracting #2: cost 19 inf + 42
0.137 * * [simplify]: Extracting #3: cost 17 inf + 629
0.137 * * [simplify]: Extracting #4: cost 7 inf + 1764
0.138 * * [simplify]: Extracting #5: cost 0 inf + 2636
0.138 * [simplify]: Simplified to (/ (- 1 (cos x)) (* x x))
0.141 * * [progress]: iteration 1 / 4
0.141 * * * [progress]: picking best candidate
0.143 * * * * [pick]: Picked  #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))>
0.143 * * * [progress]: localizing error
0.190 * * * [progress]: generating rewritten candidates
0.190 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.224 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.237 * * * [progress]: generating series expansions
0.237 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.243 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2))
0.243 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0
0.245 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x
0.245 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x
0.245 * [taylor]: Taking taylor expansion of 1 in x
0.245 * [backup-simplify]: Simplify 1 into 1
0.245 * [taylor]: Taking taylor expansion of (cos x) in x
0.245 * [taylor]: Taking taylor expansion of x in x
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 1 into 1
0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.245 * [taylor]: Taking taylor expansion of x in x
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify (- 1) into -1
0.247 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.248 * [backup-simplify]: Simplify (+ 0) into 0
0.249 * [backup-simplify]: Simplify (- 0) into 0
0.249 * [backup-simplify]: Simplify (+ 0 0) into 0
0.250 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.250 * [backup-simplify]: Simplify (- -1/2) into 1/2
0.251 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.251 * [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
0.254 * [backup-simplify]: Simplify (+ 0 0) into 0
0.255 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.255 * [backup-simplify]: Simplify (- -1/2) into 1/2
0.255 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.256 * [backup-simplify]: Simplify (* 1 1) into 1
0.256 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.257 * [backup-simplify]: Simplify 1/2 into 1/2
0.258 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.259 * [backup-simplify]: Simplify (- 0) into 0
0.259 * [backup-simplify]: Simplify (+ 0 0) into 0
0.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
0.265 * [backup-simplify]: Simplify (- 1/24) into -1/24
0.266 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.268 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
0.268 * [backup-simplify]: Simplify -1/24 into -1/24
0.271 * [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
0.272 * [backup-simplify]: Simplify (- 0) into 0
0.272 * [backup-simplify]: Simplify (+ 0 0) into 0
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
0.275 * [backup-simplify]: Simplify 0 into 0
0.280 * [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
0.281 * [backup-simplify]: Simplify (- -1/720) into 1/720
0.281 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.284 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
0.284 * [backup-simplify]: Simplify 1/720 into 1/720
0.286 * [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)))
0.286 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x))))
0.286 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0
0.287 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x
0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.287 * [taylor]: Taking taylor expansion of x in x
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
0.287 * [taylor]: Taking taylor expansion of 1 in x
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.287 * [taylor]: Taking taylor expansion of x in x
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [backup-simplify]: Simplify (/ 1 1) into 1
0.288 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.288 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x
0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.288 * [taylor]: Taking taylor expansion of x in x
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
0.288 * [taylor]: Taking taylor expansion of 1 in x
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.288 * [taylor]: Taking taylor expansion of x in x
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [backup-simplify]: Simplify (/ 1 1) into 1
0.289 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.289 * [backup-simplify]: Simplify (* 1 1) into 1
0.289 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x)))
0.289 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
0.289 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
0.290 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
0.290 * [backup-simplify]: Simplify (- 0) into 0
0.290 * [backup-simplify]: Simplify (+ 0 0) into 0
0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify (- 0) into 0
0.292 * [backup-simplify]: Simplify (+ 0 0) into 0
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify (- 0) into 0
0.295 * [backup-simplify]: Simplify (+ 0 0) into 0
0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (- 0) into 0
0.302 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0
0.306 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify (- 0) into 0
0.315 * [backup-simplify]: Simplify (+ 0 0) into 0
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2))
0.319 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x))))
0.319 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0
0.319 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x
0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.320 * [taylor]: Taking taylor expansion of x in x
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x
0.320 * [taylor]: Taking taylor expansion of 1 in x
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.320 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.320 * [taylor]: Taking taylor expansion of -1 in x
0.320 * [backup-simplify]: Simplify -1 into -1
0.320 * [taylor]: Taking taylor expansion of x in x
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (/ -1 1) into -1
0.320 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.320 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x
0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.320 * [taylor]: Taking taylor expansion of x in x
0.320 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x
0.321 * [taylor]: Taking taylor expansion of 1 in x
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.321 * [taylor]: Taking taylor expansion of -1 in x
0.321 * [backup-simplify]: Simplify -1 into -1
0.321 * [taylor]: Taking taylor expansion of x in x
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (/ -1 1) into -1
0.321 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.322 * [backup-simplify]: Simplify (* 1 1) into 1
0.322 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x)))
0.322 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
0.322 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
0.322 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x)))
0.323 * [backup-simplify]: Simplify (- 0) into 0
0.323 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify (- 0) into 0
0.325 * [backup-simplify]: Simplify (+ 0 0) into 0
0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify (- 0) into 0
0.328 * [backup-simplify]: Simplify (+ 0 0) into 0
0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify (- 0) into 0
0.332 * [backup-simplify]: Simplify (+ 0 0) into 0
0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify (- 0) into 0
0.336 * [backup-simplify]: Simplify (+ 0 0) into 0
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (- 0) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2))
0.345 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.345 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x))
0.345 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0
0.345 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x
0.345 * [taylor]: Taking taylor expansion of 1 in x
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [taylor]: Taking taylor expansion of (cos x) in x
0.345 * [taylor]: Taking taylor expansion of x in x
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x
0.345 * [taylor]: Taking taylor expansion of 1 in x
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [taylor]: Taking taylor expansion of (cos x) in x
0.345 * [taylor]: Taking taylor expansion of x in x
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 1 into 1
0.346 * [backup-simplify]: Simplify (- 1) into -1
0.346 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify (+ 0) into 0
0.347 * [backup-simplify]: Simplify (- 0) into 0
0.348 * [backup-simplify]: Simplify (+ 0 0) into 0
0.348 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.349 * [backup-simplify]: Simplify (- -1/2) into 1/2
0.350 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.350 * [backup-simplify]: Simplify 1/2 into 1/2
0.351 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.351 * [backup-simplify]: Simplify (- 0) into 0
0.352 * [backup-simplify]: Simplify (+ 0 0) into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.355 * [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
0.355 * [backup-simplify]: Simplify (- 1/24) into -1/24
0.356 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24
0.356 * [backup-simplify]: Simplify -1/24 into -1/24
0.359 * [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
0.360 * [backup-simplify]: Simplify (- 0) into 0
0.360 * [backup-simplify]: Simplify (+ 0 0) into 0
0.360 * [backup-simplify]: Simplify 0 into 0
0.366 * [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
0.367 * [backup-simplify]: Simplify (- -1/720) into 1/720
0.367 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720
0.367 * [backup-simplify]: Simplify 1/720 into 1/720
0.368 * [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)))
0.368 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
0.368 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0
0.368 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
0.368 * [taylor]: Taking taylor expansion of 1 in x
0.368 * [backup-simplify]: Simplify 1 into 1
0.368 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.368 * [taylor]: Taking taylor expansion of x in x
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 1 into 1
0.368 * [backup-simplify]: Simplify (/ 1 1) into 1
0.368 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.369 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
0.369 * [taylor]: Taking taylor expansion of 1 in x
0.369 * [backup-simplify]: Simplify 1 into 1
0.369 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.369 * [taylor]: Taking taylor expansion of x in x
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify (/ 1 1) into 1
0.369 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.369 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x)))
0.369 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
0.369 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
0.370 * [backup-simplify]: Simplify (- 0) into 0
0.370 * [backup-simplify]: Simplify (+ 0 0) into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify (- 0) into 0
0.371 * [backup-simplify]: Simplify (+ 0 0) into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify (- 0) into 0
0.372 * [backup-simplify]: Simplify (+ 0 0) into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify (- 0) into 0
0.373 * [backup-simplify]: Simplify (+ 0 0) into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify (- 0) into 0
0.373 * [backup-simplify]: Simplify (+ 0 0) into 0
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify (- 0) into 0
0.374 * [backup-simplify]: Simplify (+ 0 0) into 0
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x))
0.375 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x)))
0.375 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0
0.375 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x
0.375 * [taylor]: Taking taylor expansion of 1 in x
0.375 * [backup-simplify]: Simplify 1 into 1
0.375 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.375 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.375 * [taylor]: Taking taylor expansion of -1 in x
0.375 * [backup-simplify]: Simplify -1 into -1
0.375 * [taylor]: Taking taylor expansion of x in x
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 1 into 1
0.375 * [backup-simplify]: Simplify (/ -1 1) into -1
0.375 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.375 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x
0.375 * [taylor]: Taking taylor expansion of 1 in x
0.376 * [backup-simplify]: Simplify 1 into 1
0.376 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.376 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.376 * [taylor]: Taking taylor expansion of -1 in x
0.376 * [backup-simplify]: Simplify -1 into -1
0.376 * [taylor]: Taking taylor expansion of x in x
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 1 into 1
0.376 * [backup-simplify]: Simplify (/ -1 1) into -1
0.376 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.376 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x)))
0.376 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
0.377 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x)))
0.377 * [backup-simplify]: Simplify (- 0) into 0
0.377 * [backup-simplify]: Simplify (+ 0 0) into 0
0.377 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify (- 0) into 0
0.378 * [backup-simplify]: Simplify (+ 0 0) into 0
0.378 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify (- 0) into 0
0.379 * [backup-simplify]: Simplify (+ 0 0) into 0
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify (- 0) into 0
0.380 * [backup-simplify]: Simplify (+ 0 0) into 0
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify (- 0) into 0
0.380 * [backup-simplify]: Simplify (+ 0 0) into 0
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify (- 0) into 0
0.381 * [backup-simplify]: Simplify (+ 0 0) into 0
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x))
0.382 * * * [progress]: simplifying candidates
0.382 * * * * [progress]: [ 1 / 69 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (/ (- 1 (cos x)) (* x x)))))>
0.382 * * * * [progress]: [ 2 / 69 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (/ (- 1 (cos x)) (* x x)))))>
0.382 * * * * [progress]: [ 3 / 69 ] simplifiying candidate #<alt (λ (x) (pow (/ (- 1 (cos x)) (* x x)) 1))>
0.382 * * * * [progress]: [ 4 / 69 ] simplifiying candidate #<alt (λ (x) (exp (- (log (- 1 (cos x))) (+ (log x) (log x)))))>
0.382 * * * * [progress]: [ 5 / 69 ] simplifiying candidate #<alt (λ (x) (exp (- (log (- 1 (cos x))) (log (* x x)))))>
0.382 * * * * [progress]: [ 6 / 69 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (- 1 (cos x)) (* x x)))))>
0.382 * * * * [progress]: [ 7 / 69 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (- 1 (cos x)) (* x x)))))>
0.382 * * * * [progress]: [ 8 / 69 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) x) (* (* x x) x)))))>
0.382 * * * * [progress]: [ 9 / 69 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x)))))>
0.383 * * * * [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)))))>
0.383 * * * * [progress]: [ 11 / 69 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x)))))>
0.383 * * * * [progress]: [ 12 / 69 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x)))))>
0.383 * * * * [progress]: [ 13 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- (- 1 (cos x))) (- (* x x))))>
0.383 * * * * [progress]: [ 14 / 69 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (* x x)) (/ (cos x) (* x x))))>
0.383 * * * * [progress]: [ 15 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x) (/ (cbrt (- 1 (cos x))) x)))>
0.383 * * * * [progress]: [ 16 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x)))>
0.383 * * * * [progress]: [ 17 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x)))>
0.383 * * * * [progress]: [ 18 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt 1) (sqrt (cos x))) x) (/ (- (sqrt 1) (sqrt (cos x))) x)))>
0.383 * * * * [progress]: [ 19 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x)))>
0.383 * * * * [progress]: [ 20 / 69 ] simplifiying candidate #<alt (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x)))>
0.383 * * * * [progress]: [ 21 / 69 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (- 1 (cos x)) (* x x))))>
0.383 * * * * [progress]: [ 22 / 69 ] simplifiying candidate #<alt (λ (x) (* (- 1 (cos x)) (/ 1 (* x x))))>
0.383 * * * * [progress]: [ 23 / 69 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
0.383 * * * * [progress]: [ 24 / 69 ] simplifiying candidate #<alt (λ (x) (/ (/ (- 1 (cos x)) x) x))>
0.383 * * * * [progress]: [ 25 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (/ (* x x) (cbrt (- 1 (cos x))))))>
0.383 * * * * [progress]: [ 26 / 69 ] simplifiying candidate #<alt (λ (x) (/ (sqrt (- 1 (cos x))) (/ (* x x) (sqrt (- 1 (cos x))))))>
0.384 * * * * [progress]: [ 27 / 69 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
0.384 * * * * [progress]: [ 28 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (sqrt 1) (sqrt (cos x))) (/ (* x x) (- (sqrt 1) (sqrt (cos x))))))>
0.384 * * * * [progress]: [ 29 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ 1 (sqrt (cos x))) (/ (* x x) (- 1 (sqrt (cos x))))))>
0.384 * * * * [progress]: [ 30 / 69 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
0.384 * * * * [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)))))))>
0.384 * * * * [progress]: [ 32 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- (* 1 1) (* (cos x) (cos x))) (* (* x x) (+ 1 (cos x)))))>
0.384 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #<alt (λ (x) (posit16->real (real->posit16 (/ (- 1 (cos x)) (* x x)))))>
0.384 * * * * [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)))>
0.384 * * * * [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)))>
0.384 * * * * [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)))>
0.384 * * * * [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)))>
0.384 * * * * [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)))>
0.384 * * * * [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)))>
0.384 * * * * [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)))>
0.385 * * * * [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)))>
0.385 * * * * [progress]: [ 42 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1))) (* x x)))>
0.385 * * * * [progress]: [ 43 / 69 ] simplifiying candidate #<alt (λ (x) (/ (log1p (expm1 (- 1 (cos x)))) (* x x)))>
0.385 * * * * [progress]: [ 44 / 69 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1 (cos x)))) (* x x)))>
0.385 * * * * [progress]: [ 45 / 69 ] simplifiying candidate #<alt (λ (x) (/ (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (cos x))) (* x x)))>
0.385 * * * * [progress]: [ 46 / 69 ] simplifiying candidate #<alt (λ (x) (/ (fma (sqrt 1) (sqrt 1) (- (cos x))) (* x x)))>
0.385 * * * * [progress]: [ 47 / 69 ] simplifiying candidate #<alt (λ (x) (/ (fma 1 1 (- (cos x))) (* x x)))>
0.385 * * * * [progress]: [ 48 / 69 ] simplifiying candidate #<alt (λ (x) (/ (log (/ (exp 1) (exp (cos x)))) (* x x)))>
0.385 * * * * [progress]: [ 49 / 69 ] simplifiying candidate #<alt (λ (x) (/ (pow (- 1 (cos x)) 1) (* x x)))>
0.385 * * * * [progress]: [ 50 / 69 ] simplifiying candidate #<alt (λ (x) (/ (exp (log (- 1 (cos x)))) (* x x)))>
0.385 * * * * [progress]: [ 51 / 69 ] simplifiying candidate #<alt (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x)))>
0.385 * * * * [progress]: [ 52 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x)))) (* x x)))>
0.385 * * * * [progress]: [ 53 / 69 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x)))) (* x x)))>
0.385 * * * * [progress]: [ 54 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x)))) (* x x)))>
0.385 * * * * [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)))>
0.385 * * * * [progress]: [ 56 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ 1 (- (cos x))) (* x x)))>
0.386 * * * * [progress]: [ 57 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (- 1 (cos x))) (* x x)))>
0.386 * * * * [progress]: [ 58 / 69 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (* 1 1) (* (cos x) (cos x))) (+ 1 (cos x))) (* x x)))>
0.386 * * * * [progress]: [ 59 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* (+ (sqrt 1) (sqrt (cos x))) (- (sqrt 1) (sqrt (cos x)))) (* x x)))>
0.386 * * * * [progress]: [ 60 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x)))) (* x x)))>
0.386 * * * * [progress]: [ 61 / 69 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (- 1 (cos x))) (* x x)))>
0.386 * * * * [progress]: [ 62 / 69 ] simplifiying candidate #<alt (λ (x) (/ (+ 1 (- (cos x))) (* x x)))>
0.386 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #<alt (λ (x) (/ (posit16->real (real->posit16 (- 1 (cos x)))) (* x x)))>
0.386 * * * * [progress]: [ 64 / 69 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
0.386 * * * * [progress]: [ 65 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (pow x 2)))>
0.386 * * * * [progress]: [ 66 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (pow x 2)))>
0.386 * * * * [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)))>
0.386 * * * * [progress]: [ 68 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))>
0.386 * * * * [progress]: [ 69 / 69 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (cos x)) (* x x)))>
0.388 * [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))
0.390 * * [simplify]: iteration 1: (121 enodes)
0.481 * * [simplify]: iteration 2: (487 enodes)
0.632 * * [simplify]: iteration 3: (1034 enodes)
1.189 * * [simplify]: Extracting #0: cost 47 inf + 0
1.190 * * [simplify]: Extracting #1: cost 287 inf + 0
1.192 * * [simplify]: Extracting #2: cost 500 inf + 7426
1.201 * * [simplify]: Extracting #3: cost 277 inf + 49874
1.223 * * [simplify]: Extracting #4: cost 46 inf + 103170
1.259 * * [simplify]: Extracting #5: cost 1 inf + 114876
1.299 * * [simplify]: Extracting #6: cost 0 inf + 114766
1.323 * [simplify]: Simplified to (expm1 (/ (/ (- 1 (cos x)) x) x)), (log1p (/ (/ (- 1 (cos x)) x) x)), (log (/ (/ (- 1 (cos x)) x) x)), (log (/ (/ (- 1 (cos x)) x) x)), (log (/ (/ (- 1 (cos x)) x) x)), (exp (/ (/ (- 1 (cos x)) x) x)), (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))), (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))), (* (cbrt (/ (/ (- 1 (cos x)) x) x)) (cbrt (/ (/ (- 1 (cos x)) x) x))), (cbrt (/ (/ (- 1 (cos x)) x) x)), (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))), (sqrt (/ (/ (- 1 (cos x)) x) x)), (sqrt (/ (/ (- 1 (cos x)) x) x)), (- (- 1 (cos x))), (* (- x) x), (/ (/ 1 x) x), (/ (cos x) (* x x)), (/ (cbrt (- 1 (cos x))) (/ x (cbrt (- 1 (cos x))))), (/ (cbrt (- 1 (cos x))) x), (/ (sqrt (- 1 (cos x))) x), (/ (sqrt (- 1 (cos x))) x), (/ 1 x), (/ (- 1 (cos x)) x), (/ (+ 1 (sqrt (cos x))) x), (/ (- 1 (sqrt (cos x))) x), (/ (+ 1 (sqrt (cos x))) x), (/ (- 1 (sqrt (cos x))) x), (/ 1 x), (/ (- 1 (cos x)) x), (/ (/ 1 x) x), (/ x (/ (- 1 (cos x)) x)), (/ (- 1 (cos x)) x), (/ (* x x) (cbrt (- 1 (cos x)))), (/ (* x x) (sqrt (- 1 (cos x)))), (/ x (/ (- 1 (cos x)) x)), (/ (* x x) (- 1 (sqrt (cos x)))), (/ (* x x) (- 1 (sqrt (cos x)))), (/ x (/ (- 1 (cos x)) x)), (* (+ (* (fma (cos x) (cos x) (cos x)) x) x) x), (* (fma x (cos x) x) x), (real->posit16 (/ (/ (- 1 (cos x)) x) x)), (- 1 (cos x)), (* (cos x) 0), (- 1 (cos x)), (* (cos x) 0), (- 1 (cos x)), (* (cos x) 0), (- 1 (cos x)), (* (cos x) 0), (- 1 (cos x)), (* (cos x) 0), (- 1 (cos x)), (* (cos x) 0), (- 1 (cos x)), (* (cos x) 0), (- 1 (cos x)), (* (cos x) 0), (- 1 (cos x)), (* (cos x) 0), (expm1 (- 1 (cos x))), (log1p (- 1 (cos x))), (- (cos x)), (- (cos x)), (- (cos x)), (/ E (exp (cos x))), (log (- 1 (cos x))), (/ E (exp (cos x))), (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))), (cbrt (- 1 (cos x))), (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))), (sqrt (- 1 (cos x))), (sqrt (- 1 (cos x))), (- 1 (* (cos x) (* (cos x) (cos x)))), (fma (cos x) (+ (cos x) 1) 1), (- (cos x)), (* (sin x) (sin x)), (+ (cos x) 1), (+ 1 (sqrt (cos x))), (- 1 (sqrt (cos x))), (+ 1 (sqrt (cos x))), (- 1 (sqrt (cos x))), (- 1 (cos x)), (- (cos x)), (real->posit16 (- 1 (cos x))), (fma (* x x) -1/24 (fma (* 1/720 (* x x)) (* x x) 1/2)), (/ (/ (- 1 (cos x)) x) x), (/ (/ (- 1 (cos x)) x) x), (fma (* (* x x) (* x x)) -1/24 (fma (* x x) 1/2 (* (* 1/720 (* x x)) (* (* x x) (* x x))))), (- 1 (cos x)), (- 1 (cos x))
1.328 * * * [progress]: adding candidates to table
1.940 * * [progress]: iteration 2 / 4
1.940 * * * [progress]: picking best candidate
1.970 * * * * [pick]: Picked  #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
1.970 * * * [progress]: localizing error
2.001 * * * [progress]: generating rewritten candidates
2.001 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
2.038 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
2.049 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
2.071 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
2.107 * * * [progress]: generating series expansions
2.107 * * * * [progress]: [ 1 / 4 ] generating series at (2)
2.107 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
2.107 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0
2.107 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x
2.107 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
2.107 * [taylor]: Taking taylor expansion of (sin x) in x
2.107 * [taylor]: Taking taylor expansion of x in x
2.107 * [backup-simplify]: Simplify 0 into 0
2.108 * [backup-simplify]: Simplify 1 into 1
2.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.109 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x
2.109 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.109 * [taylor]: Taking taylor expansion of x in x
2.109 * [backup-simplify]: Simplify 0 into 0
2.109 * [backup-simplify]: Simplify 1 into 1
2.109 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
2.109 * [taylor]: Taking taylor expansion of (cos x) in x
2.109 * [taylor]: Taking taylor expansion of x in x
2.109 * [backup-simplify]: Simplify 0 into 0
2.109 * [backup-simplify]: Simplify 1 into 1
2.110 * [taylor]: Taking taylor expansion of 1 in x
2.110 * [backup-simplify]: Simplify 1 into 1
2.110 * [backup-simplify]: Simplify (* 1 1) into 1
2.110 * [backup-simplify]: Simplify (* 1 1) into 1
2.111 * [backup-simplify]: Simplify (+ 1 1) into 2
2.112 * [backup-simplify]: Simplify (* 1 2) into 2
2.112 * [backup-simplify]: Simplify (/ 1 2) into 1/2
2.112 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x
2.112 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
2.112 * [taylor]: Taking taylor expansion of (sin x) in x
2.112 * [taylor]: Taking taylor expansion of x in x
2.112 * [backup-simplify]: Simplify 0 into 0
2.112 * [backup-simplify]: Simplify 1 into 1
2.113 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.113 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x
2.113 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.113 * [taylor]: Taking taylor expansion of x in x
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [backup-simplify]: Simplify 1 into 1
2.114 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
2.114 * [taylor]: Taking taylor expansion of (cos x) in x
2.114 * [taylor]: Taking taylor expansion of x in x
2.114 * [backup-simplify]: Simplify 0 into 0
2.114 * [backup-simplify]: Simplify 1 into 1
2.114 * [taylor]: Taking taylor expansion of 1 in x
2.114 * [backup-simplify]: Simplify 1 into 1
2.114 * [backup-simplify]: Simplify (* 1 1) into 1
2.115 * [backup-simplify]: Simplify (* 1 1) into 1
2.115 * [backup-simplify]: Simplify (+ 1 1) into 2
2.116 * [backup-simplify]: Simplify (* 1 2) into 2
2.116 * [backup-simplify]: Simplify (/ 1 2) into 1/2
2.116 * [backup-simplify]: Simplify 1/2 into 1/2
2.117 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.118 * [backup-simplify]: Simplify (+ 0) into 0
2.118 * [backup-simplify]: Simplify (+ 0 0) into 0
2.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0
2.121 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
2.121 * [backup-simplify]: Simplify 0 into 0
2.123 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
2.124 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
2.125 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
2.125 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
2.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.127 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2
2.129 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24
2.129 * [backup-simplify]: Simplify -1/24 into -1/24
2.130 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
2.133 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.133 * [backup-simplify]: Simplify (+ 0 0) into 0
2.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0
2.137 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0
2.137 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
2.142 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
2.145 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
2.146 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24
2.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.149 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24
2.151 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720
2.151 * [backup-simplify]: Simplify 1/720 into 1/720
2.151 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))
2.152 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1))
2.152 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0
2.152 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x
2.152 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x
2.152 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
2.152 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.152 * [taylor]: Taking taylor expansion of x in x
2.152 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify 1 into 1
2.152 * [backup-simplify]: Simplify (/ 1 1) into 1
2.152 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.152 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.153 * [taylor]: Taking taylor expansion of x in x
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify 1 into 1
2.153 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
2.153 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.153 * [taylor]: Taking taylor expansion of x in x
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify 1 into 1
2.153 * [backup-simplify]: Simplify (/ 1 1) into 1
2.153 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.153 * [taylor]: Taking taylor expansion of 1 in x
2.153 * [backup-simplify]: Simplify 1 into 1
2.153 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
2.154 * [backup-simplify]: Simplify (* 1 1) into 1
2.154 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2)
2.154 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
2.154 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
2.154 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x
2.154 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x
2.154 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
2.154 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.154 * [taylor]: Taking taylor expansion of x in x
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify 1 into 1
2.155 * [backup-simplify]: Simplify (/ 1 1) into 1
2.155 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.155 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.155 * [taylor]: Taking taylor expansion of x in x
2.155 * [backup-simplify]: Simplify 0 into 0
2.155 * [backup-simplify]: Simplify 1 into 1
2.155 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
2.155 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.155 * [taylor]: Taking taylor expansion of x in x
2.155 * [backup-simplify]: Simplify 0 into 0
2.155 * [backup-simplify]: Simplify 1 into 1
2.155 * [backup-simplify]: Simplify (/ 1 1) into 1
2.156 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.156 * [taylor]: Taking taylor expansion of 1 in x
2.156 * [backup-simplify]: Simplify 1 into 1
2.156 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
2.156 * [backup-simplify]: Simplify (* 1 1) into 1
2.156 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2)
2.156 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
2.157 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
2.157 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
2.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.158 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
2.158 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0
2.159 * [backup-simplify]: Simplify (+ 0 0) into 0
2.159 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
2.159 * [backup-simplify]: Simplify 0 into 0
2.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.162 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
2.163 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.163 * [backup-simplify]: Simplify (+ 0 0) into 0
2.163 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
2.163 * [backup-simplify]: Simplify 0 into 0
2.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.164 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
2.165 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.165 * [backup-simplify]: Simplify (+ 0 0) into 0
2.166 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
2.166 * [backup-simplify]: Simplify 0 into 0
2.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.167 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
2.168 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.168 * [backup-simplify]: Simplify (+ 0 0) into 0
2.168 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
2.168 * [backup-simplify]: Simplify 0 into 0
2.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.170 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
2.171 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.171 * [backup-simplify]: Simplify (+ 0 0) into 0
2.171 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
2.171 * [backup-simplify]: Simplify 0 into 0
2.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.174 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
2.175 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.175 * [backup-simplify]: Simplify (+ 0 0) into 0
2.176 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
2.176 * [backup-simplify]: Simplify 0 into 0
2.176 * [backup-simplify]: Simplify (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
2.176 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1))
2.176 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0
2.176 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x
2.176 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x
2.176 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.176 * [taylor]: Taking taylor expansion of x in x
2.176 * [backup-simplify]: Simplify 0 into 0
2.176 * [backup-simplify]: Simplify 1 into 1
2.176 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
2.177 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.177 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.177 * [taylor]: Taking taylor expansion of -1 in x
2.177 * [backup-simplify]: Simplify -1 into -1
2.177 * [taylor]: Taking taylor expansion of x in x
2.177 * [backup-simplify]: Simplify 0 into 0
2.177 * [backup-simplify]: Simplify 1 into 1
2.177 * [backup-simplify]: Simplify (/ -1 1) into -1
2.177 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.177 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
2.177 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.177 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.177 * [taylor]: Taking taylor expansion of -1 in x
2.177 * [backup-simplify]: Simplify -1 into -1
2.177 * [taylor]: Taking taylor expansion of x in x
2.177 * [backup-simplify]: Simplify 0 into 0
2.177 * [backup-simplify]: Simplify 1 into 1
2.178 * [backup-simplify]: Simplify (/ -1 1) into -1
2.178 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.178 * [taylor]: Taking taylor expansion of 1 in x
2.178 * [backup-simplify]: Simplify 1 into 1
2.178 * [backup-simplify]: Simplify (* 1 1) into 1
2.178 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
2.178 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2)
2.178 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
2.179 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
2.179 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x
2.179 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x
2.179 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.179 * [taylor]: Taking taylor expansion of x in x
2.179 * [backup-simplify]: Simplify 0 into 0
2.179 * [backup-simplify]: Simplify 1 into 1
2.179 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
2.179 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.179 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.179 * [taylor]: Taking taylor expansion of -1 in x
2.179 * [backup-simplify]: Simplify -1 into -1
2.179 * [taylor]: Taking taylor expansion of x in x
2.179 * [backup-simplify]: Simplify 0 into 0
2.179 * [backup-simplify]: Simplify 1 into 1
2.179 * [backup-simplify]: Simplify (/ -1 1) into -1
2.179 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.179 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
2.179 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.179 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.179 * [taylor]: Taking taylor expansion of -1 in x
2.180 * [backup-simplify]: Simplify -1 into -1
2.180 * [taylor]: Taking taylor expansion of x in x
2.180 * [backup-simplify]: Simplify 0 into 0
2.180 * [backup-simplify]: Simplify 1 into 1
2.180 * [backup-simplify]: Simplify (/ -1 1) into -1
2.180 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.180 * [taylor]: Taking taylor expansion of 1 in x
2.180 * [backup-simplify]: Simplify 1 into 1
2.180 * [backup-simplify]: Simplify (* 1 1) into 1
2.181 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
2.181 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2)
2.181 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
2.181 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
2.181 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
2.181 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
2.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0
2.183 * [backup-simplify]: Simplify (+ 0 0) into 0
2.183 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.183 * [backup-simplify]: Simplify 0 into 0
2.184 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
2.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0
2.185 * [backup-simplify]: Simplify (+ 0 0) into 0
2.186 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.186 * [backup-simplify]: Simplify 0 into 0
2.187 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
2.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0
2.189 * [backup-simplify]: Simplify (+ 0 0) into 0
2.190 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.190 * [backup-simplify]: Simplify 0 into 0
2.191 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
2.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0
2.194 * [backup-simplify]: Simplify (+ 0 0) into 0
2.194 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.194 * [backup-simplify]: Simplify 0 into 0
2.196 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
2.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0
2.199 * [backup-simplify]: Simplify (+ 0 0) into 0
2.200 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.200 * [backup-simplify]: Simplify 0 into 0
2.201 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
2.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0
2.205 * [backup-simplify]: Simplify (+ 0 0) into 0
2.206 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.206 * [backup-simplify]: Simplify 0 into 0
2.206 * [backup-simplify]: Simplify (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
2.206 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
2.206 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1)
2.206 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0
2.206 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
2.206 * [taylor]: Taking taylor expansion of (cos x) in x
2.206 * [taylor]: Taking taylor expansion of x in x
2.206 * [backup-simplify]: Simplify 0 into 0
2.206 * [backup-simplify]: Simplify 1 into 1
2.206 * [taylor]: Taking taylor expansion of 1 in x
2.206 * [backup-simplify]: Simplify 1 into 1
2.207 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
2.207 * [taylor]: Taking taylor expansion of (cos x) in x
2.207 * [taylor]: Taking taylor expansion of x in x
2.207 * [backup-simplify]: Simplify 0 into 0
2.207 * [backup-simplify]: Simplify 1 into 1
2.207 * [taylor]: Taking taylor expansion of 1 in x
2.207 * [backup-simplify]: Simplify 1 into 1
2.207 * [backup-simplify]: Simplify (+ 1 1) into 2
2.207 * [backup-simplify]: Simplify 2 into 2
2.207 * [backup-simplify]: Simplify (+ 0) into 0
2.208 * [backup-simplify]: Simplify (+ 0 0) into 0
2.208 * [backup-simplify]: Simplify 0 into 0
2.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
2.209 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
2.209 * [backup-simplify]: Simplify -1/2 into -1/2
2.210 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.211 * [backup-simplify]: Simplify (+ 0 0) into 0
2.211 * [backup-simplify]: Simplify 0 into 0
2.213 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
2.213 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24
2.213 * [backup-simplify]: Simplify 1/24 into 1/24
2.214 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2)) into (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2)))
2.214 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
2.214 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0
2.214 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
2.214 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.214 * [taylor]: Taking taylor expansion of x in x
2.214 * [backup-simplify]: Simplify 0 into 0
2.214 * [backup-simplify]: Simplify 1 into 1
2.214 * [backup-simplify]: Simplify (/ 1 1) into 1
2.214 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.214 * [taylor]: Taking taylor expansion of 1 in x
2.214 * [backup-simplify]: Simplify 1 into 1
2.214 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
2.215 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.215 * [taylor]: Taking taylor expansion of x in x
2.215 * [backup-simplify]: Simplify 0 into 0
2.215 * [backup-simplify]: Simplify 1 into 1
2.215 * [backup-simplify]: Simplify (/ 1 1) into 1
2.215 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.215 * [taylor]: Taking taylor expansion of 1 in x
2.215 * [backup-simplify]: Simplify 1 into 1
2.215 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
2.215 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
2.216 * [backup-simplify]: Simplify (+ 0 0) into 0
2.216 * [backup-simplify]: Simplify 0 into 0
2.216 * [backup-simplify]: Simplify (+ 0 0) into 0
2.216 * [backup-simplify]: Simplify 0 into 0
2.216 * [backup-simplify]: Simplify (+ 0 0) into 0
2.216 * [backup-simplify]: Simplify 0 into 0
2.217 * [backup-simplify]: Simplify (+ 0 0) into 0
2.217 * [backup-simplify]: Simplify 0 into 0
2.217 * [backup-simplify]: Simplify (+ 0 0) into 0
2.217 * [backup-simplify]: Simplify 0 into 0
2.218 * [backup-simplify]: Simplify (+ 0 0) into 0
2.218 * [backup-simplify]: Simplify 0 into 0
2.218 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1)
2.218 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1)
2.218 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0
2.218 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
2.218 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.218 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.218 * [taylor]: Taking taylor expansion of -1 in x
2.218 * [backup-simplify]: Simplify -1 into -1
2.218 * [taylor]: Taking taylor expansion of x in x
2.218 * [backup-simplify]: Simplify 0 into 0
2.218 * [backup-simplify]: Simplify 1 into 1
2.218 * [backup-simplify]: Simplify (/ -1 1) into -1
2.218 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.218 * [taylor]: Taking taylor expansion of 1 in x
2.218 * [backup-simplify]: Simplify 1 into 1
2.219 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
2.219 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.219 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.219 * [taylor]: Taking taylor expansion of -1 in x
2.219 * [backup-simplify]: Simplify -1 into -1
2.219 * [taylor]: Taking taylor expansion of x in x
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 1 into 1
2.219 * [backup-simplify]: Simplify (/ -1 1) into -1
2.219 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.219 * [taylor]: Taking taylor expansion of 1 in x
2.219 * [backup-simplify]: Simplify 1 into 1
2.219 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
2.219 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
2.220 * [backup-simplify]: Simplify (+ 0 0) into 0
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify (+ 0 0) into 0
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify (+ 0 0) into 0
2.221 * [backup-simplify]: Simplify 0 into 0
2.221 * [backup-simplify]: Simplify (+ 0 0) into 0
2.221 * [backup-simplify]: Simplify 0 into 0
2.221 * [backup-simplify]: Simplify (+ 0 0) into 0
2.221 * [backup-simplify]: Simplify 0 into 0
2.222 * [backup-simplify]: Simplify (+ 0 0) into 0
2.222 * [backup-simplify]: Simplify 0 into 0
2.222 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1)
2.222 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
2.222 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2)
2.222 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0
2.222 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
2.222 * [taylor]: Taking taylor expansion of (sin x) in x
2.222 * [taylor]: Taking taylor expansion of x in x
2.222 * [backup-simplify]: Simplify 0 into 0
2.222 * [backup-simplify]: Simplify 1 into 1
2.223 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.223 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
2.223 * [taylor]: Taking taylor expansion of (sin x) in x
2.223 * [taylor]: Taking taylor expansion of x in x
2.223 * [backup-simplify]: Simplify 0 into 0
2.223 * [backup-simplify]: Simplify 1 into 1
2.224 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.224 * [backup-simplify]: Simplify (* 1 1) into 1
2.224 * [backup-simplify]: Simplify 1 into 1
2.225 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.225 * [backup-simplify]: Simplify 0 into 0
2.227 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
2.228 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
2.228 * [backup-simplify]: Simplify -1/3 into -1/3
2.229 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
2.230 * [backup-simplify]: Simplify 0 into 0
2.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
2.235 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
2.236 * [backup-simplify]: Simplify 2/45 into 2/45
2.236 * [backup-simplify]: Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (pow x 2)))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4)))
2.236 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
2.236 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0
2.236 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
2.236 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.236 * [taylor]: Taking taylor expansion of x in x
2.236 * [backup-simplify]: Simplify 0 into 0
2.236 * [backup-simplify]: Simplify 1 into 1
2.237 * [backup-simplify]: Simplify (/ 1 1) into 1
2.237 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.237 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
2.237 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.237 * [taylor]: Taking taylor expansion of x in x
2.237 * [backup-simplify]: Simplify 0 into 0
2.237 * [backup-simplify]: Simplify 1 into 1
2.237 * [backup-simplify]: Simplify (/ 1 1) into 1
2.237 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.237 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
2.238 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2)
2.238 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
2.238 * [backup-simplify]: Simplify 0 into 0
2.238 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
2.238 * [backup-simplify]: Simplify 0 into 0
2.239 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
2.239 * [backup-simplify]: Simplify 0 into 0
2.240 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
2.240 * [backup-simplify]: Simplify 0 into 0
2.242 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
2.242 * [backup-simplify]: Simplify 0 into 0
2.243 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
2.243 * [backup-simplify]: Simplify 0 into 0
2.243 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2)
2.244 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2)
2.244 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0
2.244 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
2.244 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.244 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.244 * [taylor]: Taking taylor expansion of -1 in x
2.244 * [backup-simplify]: Simplify -1 into -1
2.244 * [taylor]: Taking taylor expansion of x in x
2.244 * [backup-simplify]: Simplify 0 into 0
2.244 * [backup-simplify]: Simplify 1 into 1
2.244 * [backup-simplify]: Simplify (/ -1 1) into -1
2.244 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.244 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
2.244 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.244 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.244 * [taylor]: Taking taylor expansion of -1 in x
2.244 * [backup-simplify]: Simplify -1 into -1
2.244 * [taylor]: Taking taylor expansion of x in x
2.244 * [backup-simplify]: Simplify 0 into 0
2.244 * [backup-simplify]: Simplify 1 into 1
2.245 * [backup-simplify]: Simplify (/ -1 1) into -1
2.245 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.245 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
2.245 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2)
2.245 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
2.245 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
2.246 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
2.247 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
2.248 * [backup-simplify]: Simplify 0 into 0
2.249 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
2.249 * [backup-simplify]: Simplify 0 into 0
2.251 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
2.251 * [backup-simplify]: Simplify 0 into 0
2.252 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2)
2.252 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
2.252 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1))
2.252 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0
2.252 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x
2.252 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
2.252 * [taylor]: Taking taylor expansion of (sin x) in x
2.252 * [taylor]: Taking taylor expansion of x in x
2.252 * [backup-simplify]: Simplify 0 into 0
2.252 * [backup-simplify]: Simplify 1 into 1
2.253 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.253 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
2.253 * [taylor]: Taking taylor expansion of (cos x) in x
2.253 * [taylor]: Taking taylor expansion of x in x
2.253 * [backup-simplify]: Simplify 0 into 0
2.253 * [backup-simplify]: Simplify 1 into 1
2.253 * [taylor]: Taking taylor expansion of 1 in x
2.253 * [backup-simplify]: Simplify 1 into 1
2.253 * [backup-simplify]: Simplify (* 1 1) into 1
2.254 * [backup-simplify]: Simplify (+ 1 1) into 2
2.254 * [backup-simplify]: Simplify (/ 1 2) into 1/2
2.254 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x
2.254 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
2.254 * [taylor]: Taking taylor expansion of (sin x) in x
2.254 * [taylor]: Taking taylor expansion of x in x
2.254 * [backup-simplify]: Simplify 0 into 0
2.254 * [backup-simplify]: Simplify 1 into 1
2.255 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.255 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x
2.255 * [taylor]: Taking taylor expansion of (cos x) in x
2.255 * [taylor]: Taking taylor expansion of x in x
2.255 * [backup-simplify]: Simplify 0 into 0
2.255 * [backup-simplify]: Simplify 1 into 1
2.255 * [taylor]: Taking taylor expansion of 1 in x
2.255 * [backup-simplify]: Simplify 1 into 1
2.256 * [backup-simplify]: Simplify (* 1 1) into 1
2.256 * [backup-simplify]: Simplify (+ 1 1) into 2
2.257 * [backup-simplify]: Simplify (/ 1 2) into 1/2
2.257 * [backup-simplify]: Simplify 1/2 into 1/2
2.258 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.259 * [backup-simplify]: Simplify (+ 0) into 0
2.259 * [backup-simplify]: Simplify (+ 0 0) into 0
2.260 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
2.260 * [backup-simplify]: Simplify 0 into 0
2.262 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
2.263 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
2.264 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
2.264 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
2.266 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24
2.266 * [backup-simplify]: Simplify -1/24 into -1/24
2.268 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
2.270 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.271 * [backup-simplify]: Simplify (+ 0 0) into 0
2.272 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0
2.273 * [backup-simplify]: Simplify 0 into 0
2.277 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
2.279 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
2.282 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
2.282 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24
2.285 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720
2.285 * [backup-simplify]: Simplify 1/720 into 1/720
2.286 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4)))
2.286 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
2.286 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0
2.286 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x
2.286 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
2.286 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.286 * [taylor]: Taking taylor expansion of x in x
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify 1 into 1
2.287 * [backup-simplify]: Simplify (/ 1 1) into 1
2.287 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.287 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
2.288 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.288 * [taylor]: Taking taylor expansion of x in x
2.288 * [backup-simplify]: Simplify 0 into 0
2.288 * [backup-simplify]: Simplify 1 into 1
2.288 * [backup-simplify]: Simplify (/ 1 1) into 1
2.288 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.288 * [taylor]: Taking taylor expansion of 1 in x
2.288 * [backup-simplify]: Simplify 1 into 1
2.289 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
2.289 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
2.289 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
2.289 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x
2.289 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x
2.289 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.289 * [taylor]: Taking taylor expansion of x in x
2.289 * [backup-simplify]: Simplify 0 into 0
2.289 * [backup-simplify]: Simplify 1 into 1
2.290 * [backup-simplify]: Simplify (/ 1 1) into 1
2.290 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.290 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x
2.290 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.290 * [taylor]: Taking taylor expansion of x in x
2.290 * [backup-simplify]: Simplify 0 into 0
2.290 * [backup-simplify]: Simplify 1 into 1
2.290 * [backup-simplify]: Simplify (/ 1 1) into 1
2.290 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.290 * [taylor]: Taking taylor expansion of 1 in x
2.290 * [backup-simplify]: Simplify 1 into 1
2.291 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
2.291 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
2.291 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
2.291 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
2.291 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
2.294 * [backup-simplify]: Simplify (+ 0 0) into 0
2.294 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
2.294 * [backup-simplify]: Simplify 0 into 0
2.295 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
2.295 * [backup-simplify]: Simplify (+ 0 0) into 0
2.296 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
2.296 * [backup-simplify]: Simplify 0 into 0
2.297 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
2.297 * [backup-simplify]: Simplify (+ 0 0) into 0
2.298 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
2.298 * [backup-simplify]: Simplify 0 into 0
2.299 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
2.299 * [backup-simplify]: Simplify (+ 0 0) into 0
2.300 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
2.300 * [backup-simplify]: Simplify 0 into 0
2.302 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
2.302 * [backup-simplify]: Simplify (+ 0 0) into 0
2.303 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
2.303 * [backup-simplify]: Simplify 0 into 0
2.305 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
2.305 * [backup-simplify]: Simplify (+ 0 0) into 0
2.306 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
2.306 * [backup-simplify]: Simplify 0 into 0
2.306 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1))
2.307 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
2.307 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0
2.307 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x
2.307 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
2.307 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.307 * [taylor]: Taking taylor expansion of -1 in x
2.307 * [backup-simplify]: Simplify -1 into -1
2.307 * [taylor]: Taking taylor expansion of x in x
2.307 * [backup-simplify]: Simplify 0 into 0
2.307 * [backup-simplify]: Simplify 1 into 1
2.308 * [backup-simplify]: Simplify (/ -1 1) into -1
2.308 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.308 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
2.308 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.308 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.308 * [taylor]: Taking taylor expansion of -1 in x
2.308 * [backup-simplify]: Simplify -1 into -1
2.308 * [taylor]: Taking taylor expansion of x in x
2.308 * [backup-simplify]: Simplify 0 into 0
2.308 * [backup-simplify]: Simplify 1 into 1
2.308 * [backup-simplify]: Simplify (/ -1 1) into -1
2.308 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.308 * [taylor]: Taking taylor expansion of 1 in x
2.308 * [backup-simplify]: Simplify 1 into 1
2.309 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
2.309 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
2.309 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
2.309 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x
2.309 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x
2.309 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.309 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.309 * [taylor]: Taking taylor expansion of -1 in x
2.309 * [backup-simplify]: Simplify -1 into -1
2.309 * [taylor]: Taking taylor expansion of x in x
2.309 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify 1 into 1
2.310 * [backup-simplify]: Simplify (/ -1 1) into -1
2.310 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.310 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x
2.310 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.310 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.310 * [taylor]: Taking taylor expansion of -1 in x
2.310 * [backup-simplify]: Simplify -1 into -1
2.310 * [taylor]: Taking taylor expansion of x in x
2.310 * [backup-simplify]: Simplify 0 into 0
2.310 * [backup-simplify]: Simplify 1 into 1
2.310 * [backup-simplify]: Simplify (/ -1 1) into -1
2.310 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.310 * [taylor]: Taking taylor expansion of 1 in x
2.310 * [backup-simplify]: Simplify 1 into 1
2.311 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
2.311 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
2.311 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
2.311 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
2.311 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
2.312 * [backup-simplify]: Simplify (+ 0 0) into 0
2.312 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.312 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
2.313 * [backup-simplify]: Simplify (+ 0 0) into 0
2.314 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.314 * [backup-simplify]: Simplify 0 into 0
2.315 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
2.315 * [backup-simplify]: Simplify (+ 0 0) into 0
2.316 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.316 * [backup-simplify]: Simplify 0 into 0
2.317 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
2.317 * [backup-simplify]: Simplify (+ 0 0) into 0
2.318 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.318 * [backup-simplify]: Simplify 0 into 0
2.320 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
2.320 * [backup-simplify]: Simplify (+ 0 0) into 0
2.321 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.321 * [backup-simplify]: Simplify 0 into 0
2.323 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
2.323 * [backup-simplify]: Simplify (+ 0 0) into 0
2.324 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
2.324 * [backup-simplify]: Simplify 0 into 0
2.324 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1))
2.324 * * * [progress]: simplifying candidates
2.324 * * * * [progress]: [ 1 / 138 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.324 * * * * [progress]: [ 2 / 138 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.325 * * * * [progress]: [ 3 / 138 ] simplifiying candidate #<alt (λ (x) (pow (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) 1))>
2.325 * * * * [progress]: [ 4 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x)))))>
2.325 * * * * [progress]: [ 5 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x)))))>
2.325 * * * * [progress]: [ 6 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x)))))>
2.325 * * * * [progress]: [ 7 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x)))))>
2.325 * * * * [progress]: [ 8 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x)))))>
2.325 * * * * [progress]: [ 9 / 138 ] simplifiying candidate #<alt (λ (x) (exp (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x)))))>
2.325 * * * * [progress]: [ 10 / 138 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.325 * * * * [progress]: [ 11 / 138 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.325 * * * * [progress]: [ 12 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x)))))>
2.325 * * * * [progress]: [ 13 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))))>
2.325 * * * * [progress]: [ 14 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x)))))>
2.325 * * * * [progress]: [ 15 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))))>
2.325 * * * * [progress]: [ 16 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x)))))>
2.325 * * * * [progress]: [ 17 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))))>
2.326 * * * * [progress]: [ 18 / 138 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.326 * * * * [progress]: [ 19 / 138 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.326 * * * * [progress]: [ 20 / 138 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.326 * * * * [progress]: [ 21 / 138 ] simplifiying candidate #<alt (λ (x) (/ (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x))))>
2.326 * * * * [progress]: [ 22 / 138 ] simplifiying candidate #<alt (λ (x) (- (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x))))>
2.326 * * * * [progress]: [ 23 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)))>
2.326 * * * * [progress]: [ 24 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)))>
2.326 * * * * [progress]: [ 25 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x) (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x)))>
2.326 * * * * [progress]: [ 26 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
2.326 * * * * [progress]: [ 27 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x)))>
2.326 * * * * [progress]: [ 28 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x)))>
2.326 * * * * [progress]: [ 29 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ 1 x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x)))>
2.326 * * * * [progress]: [ 30 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (* (sin x) (sin x)) x) (/ (/ 1 (+ 1 (cos x))) x)))>
2.326 * * * * [progress]: [ 31 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x) (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x)))>
2.326 * * * * [progress]: [ 32 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x) (/ (- 1 (cos x)) x)))>
2.327 * * * * [progress]: [ 33 / 138 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))))>
2.327 * * * * [progress]: [ 34 / 138 ] simplifiying candidate #<alt (λ (x) (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ 1 (* x x))))>
2.327 * * * * [progress]: [ 35 / 138 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))))>
2.327 * * * * [progress]: [ 36 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) x))>
2.327 * * * * [progress]: [ 37 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))))>
2.327 * * * * [progress]: [ 38 / 138 ] simplifiying candidate #<alt (λ (x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))))>
2.327 * * * * [progress]: [ 39 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x)))))))>
2.327 * * * * [progress]: [ 40 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x)))))))>
2.327 * * * * [progress]: [ 41 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (/ (* x x) (/ (sin x) (+ 1 (cos x))))))>
2.327 * * * * [progress]: [ 42 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (/ (* x x) (/ (sin x) (+ 1 (cos x))))))>
2.327 * * * * [progress]: [ 43 / 138 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))))>
2.327 * * * * [progress]: [ 44 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin x)) (/ (* x x) (/ 1 (+ 1 (cos x))))))>
2.327 * * * * [progress]: [ 45 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))))>
2.327 * * * * [progress]: [ 46 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (/ (* x x) (- 1 (cos x)))))>
2.327 * * * * [progress]: [ 47 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin x)) (* (* x x) (+ 1 (cos x)))))>
2.327 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #<alt (λ (x) (posit16->real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
2.328 * * * * [progress]: [ 49 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (log1p (expm1 (+ 1 (cos x))))) (* x x)))>
2.328 * * * * [progress]: [ 50 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (expm1 (log1p (+ 1 (cos x))))) (* x x)))>
2.328 * * * * [progress]: [ 51 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (cos x))) (* x x)))>
2.328 * * * * [progress]: [ 52 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (fma (sqrt 1) (sqrt 1) (cos x))) (* x x)))>
2.328 * * * * [progress]: [ 53 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (fma 1 1 (cos x))) (* x x)))>
2.328 * * * * [progress]: [ 54 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (log (* (exp 1) (exp (cos x))))) (* x x)))>
2.328 * * * * [progress]: [ 55 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (pow (+ 1 (cos x)) 1)) (* x x)))>
2.328 * * * * [progress]: [ 56 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (exp (log (+ 1 (cos x))))) (* x x)))>
2.328 * * * * [progress]: [ 57 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (log (exp (+ 1 (cos x))))) (* x x)))>
2.328 * * * * [progress]: [ 58 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (* (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x))))) (* x x)))>
2.328 * * * * [progress]: [ 59 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (cbrt (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
2.328 * * * * [progress]: [ 60 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (* (sqrt (+ 1 (cos x))) (sqrt (+ 1 (cos x))))) (* x x)))>
2.328 * * * * [progress]: [ 61 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (/ (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))) (* x x)))>
2.328 * * * * [progress]: [ 62 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (* 1 (+ 1 (cos x)))) (* x x)))>
2.328 * * * * [progress]: [ 63 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (/ (- (* 1 1) (* (cos x) (cos x))) (- 1 (cos x)))) (* x x)))>
2.328 * * * * [progress]: [ 64 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (* 1 (+ 1 (cos x)))) (* x x)))>
2.328 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (posit16->real (real->posit16 (+ 1 (cos x))))) (* x x)))>
2.329 * * * * [progress]: [ 66 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
2.329 * * * * [progress]: [ 67 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (log1p (expm1 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.329 * * * * [progress]: [ 68 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (expm1 (log1p (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.329 * * * * [progress]: [ 69 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x))) (* x x)))>
2.329 * * * * [progress]: [ 70 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (- (cos (- x x)) (cos (+ x x))) 2) (+ 1 (cos x))) (* x x)))>
2.329 * * * * [progress]: [ 71 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) (+ 1 1)) (+ 1 (cos x))) (* x x)))>
2.329 * * * * [progress]: [ 72 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
2.329 * * * * [progress]: [ 73 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
2.329 * * * * [progress]: [ 74 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) (+ 1 1)) (+ 1 (cos x))) (* x x)))>
2.329 * * * * [progress]: [ 75 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
2.329 * * * * [progress]: [ 76 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (exp (+ (log (sin x)) (log (sin x)))) (+ 1 (cos x))) (* x x)))>
2.329 * * * * [progress]: [ 77 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (exp (log (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.329 * * * * [progress]: [ 78 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (log (exp (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.329 * * * * [progress]: [ 79 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (cbrt (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.329 * * * * [progress]: [ 80 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) (cbrt (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.329 * * * * [progress]: [ 81 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (cbrt (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.330 * * * * [progress]: [ 82 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sqrt (* (sin x) (sin x))) (sqrt (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.330 * * * * [progress]: [ 83 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* 1 (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
2.330 * * * * [progress]: [ 84 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (+ 1 (cos x))) (* x x)))>
2.330 * * * * [progress]: [ 85 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sqrt (sin x)) (sqrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x)))) (+ 1 (cos x))) (* x x)))>
2.330 * * * * [progress]: [ 86 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* 1 1) (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
2.330 * * * * [progress]: [ 87 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sqrt (sin x)) (sqrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x)))) (+ 1 (cos x))) (* x x)))>
2.330 * * * * [progress]: [ 88 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) (* 2 1)) (+ 1 (cos x))) (* x x)))>
2.330 * * * * [progress]: [ 89 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (sin x))) (+ 1 (cos x))) (* x x)))>
2.330 * * * * [progress]: [ 90 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sin x) (sqrt (sin x))) (sqrt (sin x))) (+ 1 (cos x))) (* x x)))>
2.330 * * * * [progress]: [ 91 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (sin x) 1) (sin x)) (+ 1 (cos x))) (* x x)))>
2.330 * * * * [progress]: [ 92 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (sin x))) (+ 1 (cos x))) (* x x)))>
2.330 * * * * [progress]: [ 93 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sqrt (sin x)) (* (sqrt (sin x)) (sin x))) (+ 1 (cos x))) (* x x)))>
2.330 * * * * [progress]: [ 94 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* 1 (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
2.330 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (posit16->real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
2.330 * * * * [progress]: [ 96 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
2.330 * * * * [progress]: [ 97 / 138 ] simplifiying candidate #<alt (λ (x) (/ (log1p (expm1 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.330 * * * * [progress]: [ 98 / 138 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.331 * * * * [progress]: [ 99 / 138 ] simplifiying candidate #<alt (λ (x) (/ (pow (/ (* (sin x) (sin x)) (+ 1 (cos x))) 1) (* x x)))>
2.331 * * * * [progress]: [ 100 / 138 ] simplifiying candidate #<alt (λ (x) (/ (exp (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))) (* x x)))>
2.331 * * * * [progress]: [ 101 / 138 ] simplifiying candidate #<alt (λ (x) (/ (exp (- (log (* (sin x) (sin x))) (log (+ 1 (cos x))))) (* x x)))>
2.331 * * * * [progress]: [ 102 / 138 ] simplifiying candidate #<alt (λ (x) (/ (exp (log (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.331 * * * * [progress]: [ 103 / 138 ] simplifiying candidate #<alt (λ (x) (/ (log (exp (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.331 * * * * [progress]: [ 104 / 138 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
2.331 * * * * [progress]: [ 105 / 138 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
2.331 * * * * [progress]: [ 106 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.331 * * * * [progress]: [ 107 / 138 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.331 * * * * [progress]: [ 108 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.331 * * * * [progress]: [ 109 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (* (sin x) (sin x))) (- (+ 1 (cos x)))) (* x x)))>
2.331 * * * * [progress]: [ 110 / 138 ] simplifiying candidate #<alt (λ (x) (/ (- (/ 1/2 (+ 1 (cos x))) (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x)))) (* x x)))>
2.331 * * * * [progress]: [ 111 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (sin x) (cbrt (+ 1 (cos x))))) (* x x)))>
2.331 * * * * [progress]: [ 112 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x))))) (* x x)))>
2.331 * * * * [progress]: [ 113 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) 1) (/ (sin x) (+ 1 (cos x)))) (* x x)))>
2.331 * * * * [progress]: [ 114 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) 1) (/ (sin x) (+ 1 (cos x)))) (* x x)))>
2.332 * * * * [progress]: [ 115 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* x x)))>
2.332 * * * * [progress]: [ 116 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (* (sin x) (sin x)) (/ 1 (+ 1 (cos x)))) (* x x)))>
2.332 * * * * [progress]: [ 117 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (/ (+ 1 (cos x)) (* (sin x) (sin x)))) (* x x)))>
2.332 * * * * [progress]: [ 118 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (cbrt (+ 1 (cos x)))) (* x x)))>
2.332 * * * * [progress]: [ 119 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (sqrt (+ 1 (cos x)))) (* x x)))>
2.332 * * * * [progress]: [ 120 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
2.332 * * * * [progress]: [ 121 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
2.332 * * * * [progress]: [ 122 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (* x x)))>
2.332 * * * * [progress]: [ 123 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) (* x x)))>
2.332 * * * * [progress]: [ 124 / 138 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (- 1 (cos x))) (* x x)))>
2.332 * * * * [progress]: [ 125 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (cos (- x x)) (cos (+ x x))) (* (+ 1 (cos x)) 2)) (* x x)))>
2.332 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #<alt (λ (x) (/ (posit16->real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
2.332 * * * * [progress]: [ 127 / 138 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
2.332 * * * * [progress]: [ 128 / 138 ] simplifiying candidate #<alt (λ (x) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))))>
2.332 * * * * [progress]: [ 129 / 138 ] simplifiying candidate #<alt (λ (x) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))))>
2.332 * * * * [progress]: [ 130 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2)))) (* x x)))>
2.332 * * * * [progress]: [ 131 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
2.333 * * * * [progress]: [ 132 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
2.333 * * * * [progress]: [ 133 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (+ 1 (cos x))) (* x x)))>
2.333 * * * * [progress]: [ 134 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
2.333 * * * * [progress]: [ 135 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
2.333 * * * * [progress]: [ 136 / 138 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)))>
2.333 * * * * [progress]: [ 137 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)))>
2.333 * * * * [progress]: [ 138 / 138 ] simplifiying candidate #<alt (λ (x) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)))>
2.335 * [simplify]: Simplifying (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))), (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x))), (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))), (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x))), (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x))), (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x))), (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))), (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))), (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))), (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))), (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))), (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))), (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))), (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (- (* x x)), (/ (/ 1/2 (+ 1 (cos x))) (* x x)), (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x)), (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x), (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x), (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x), (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x), (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x), (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x), (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x), (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x), (/ (/ (sin x) 1) x), (/ (/ (sin x) (+ 1 (cos x))) x), (/ (/ (sin x) 1) x), (/ (/ (sin x) (+ 1 (cos x))) x), (/ 1 x), (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x), (/ (* (sin x) (sin x)) x), (/ (/ 1 (+ 1 (cos x))) x), (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x), (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x), (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x), (/ (- 1 (cos x)) x), (/ 1 (* x x)), (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x), (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))), (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))), (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x))))), (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x))))), (/ (* x x) (/ (sin x) (+ 1 (cos x)))), (/ (* x x) (/ (sin x) (+ 1 (cos x)))), (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (/ (* x x) (/ 1 (+ 1 (cos x)))), (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))), (/ (* x x) (- 1 (cos x))), (* (* x x) (+ 1 (cos x))), (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))), (expm1 (+ 1 (cos x))), (log1p (+ 1 (cos x))), (* (exp 1) (exp (cos x))), (log (+ 1 (cos x))), (exp (+ 1 (cos x))), (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))), (cbrt (+ 1 (cos x))), (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))), (sqrt (+ 1 (cos x))), (sqrt (+ 1 (cos x))), (+ (pow 1 3) (pow (cos x) 3)), (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))), (- (* 1 1) (* (cos x) (cos x))), (- 1 (cos x)), (+ 1 (cos x)), (real->posit16 (+ 1 (cos x))), (expm1 (* (sin x) (sin x))), (log1p (* (sin x) (sin x))), (* 1/2 (cos (* 2 x))), (- (cos (- x x)) (cos (+ x x))), (+ 1 1), (* (sin x) (sin x)), (+ 1 1), (+ (log (sin x)) (log (sin x))), (log (* (sin x) (sin x))), (exp (* (sin x) (sin x))), (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))), (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))), (cbrt (* (sin x) (sin x))), (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))), (sqrt (* (sin x) (sin x))), (sqrt (* (sin x) (sin x))), (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x)))), (* (cbrt (sin x)) (cbrt (sin x))), (* (sqrt (sin x)) (sqrt (sin x))), (* (sqrt (sin x)) (sqrt (sin x))), (* 1 1), (* (sin x) (sin x)), (* (sqrt (sin x)) (sqrt (sin x))), (* (sqrt (sin x)) (sqrt (sin x))), (* 2 1), (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))), (* (sin x) (sqrt (sin x))), (* (sin x) 1), (* (cbrt (sin x)) (sin x)), (* (sqrt (sin x)) (sin x)), (* (sin x) (sin x)), (real->posit16 (* (sin x) (sin x))), (expm1 (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (log1p (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))), (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))), (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (exp (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))), (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))), (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))), (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (- (* (sin x) (sin x))), (- (+ 1 (cos x))), (/ 1/2 (+ 1 (cos x))), (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))), (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))), (/ (sin x) (cbrt (+ 1 (cos x)))), (/ (sin x) (sqrt (+ 1 (cos x)))), (/ (sin x) (sqrt (+ 1 (cos x)))), (/ (sin x) 1), (/ (sin x) (+ 1 (cos x))), (/ (sin x) 1), (/ (sin x) (+ 1 (cos x))), (/ 1 (+ 1 (cos x))), (/ (+ 1 (cos x)) (* (sin x) (sin x))), (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))), (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))), (/ (* (sin x) (sin x)) 1), (/ (* (sin x) (sin x)) 1), (/ (+ 1 (cos x)) (sin x)), (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))), (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))), (* (+ 1 (cos x)) 2), (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))), (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))), (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))), (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))), (+ (cos x) 1), (+ (cos x) 1), (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))), (pow (sin x) 2), (pow (sin x) 2), (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))), (/ (pow (sin x) 2) (+ (cos x) 1)), (/ (pow (sin x) 2) (+ (cos x) 1))
2.337 * * [simplify]: iteration 1: (190 enodes)
2.431 * * [simplify]: iteration 2: (825 enodes)
2.747 * * [simplify]: Extracting #0: cost 105 inf + 0
2.749 * * [simplify]: Extracting #1: cost 593 inf + 2
2.756 * * [simplify]: Extracting #2: cost 808 inf + 10767
2.773 * * [simplify]: Extracting #3: cost 571 inf + 55383
2.823 * * [simplify]: Extracting #4: cost 173 inf + 157311
2.889 * * [simplify]: Extracting #5: cost 11 inf + 206748
2.953 * * [simplify]: Extracting #6: cost 0 inf + 207861
2.995 * [simplify]: Simplified to (expm1 (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log1p (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (exp (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (* (/ (* (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))) (* x (* x x))) (/ (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (* x (* x x)))), (* (/ (* (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))) (* x (* x x))) (/ (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (* x (* x x)))), (* (/ (* (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))) (* x (* x x))) (/ (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (* x (* x x)))), (* (/ (* (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))) (* x (* x x))) (/ (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (* x (* x x)))), (* (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (* (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (* (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))))), (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (* (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (sqrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (sqrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (/ (- (sin x)) (/ (+ 1 (cos x)) (sin x))), (* x (- x)), (/ 1/2 (fma (* x x) (cos x) (* x x))), (/ (* 1/2 (cos (* x 2))) (+ (* x x) (* (* x x) (cos x)))), (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ x (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))), (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x), (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x), (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x), (/ (/ (sin x) x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))), (/ (/ (sin x) x) (cbrt (+ 1 (cos x)))), (/ (/ (sin x) x) (sqrt (+ 1 (cos x)))), (/ (/ (sin x) x) (sqrt (+ 1 (cos x)))), (/ (sin x) x), (/ (tan (/ x 2)) x), (/ (sin x) x), (/ (tan (/ x 2)) x), (/ 1 x), (* (/ (sin x) x) (tan (/ x 2))), (* (/ (sin x) x) (sin x)), (/ (/ 1 x) (+ 1 (cos x))), (/ (/ (* (sin x) (sin x)) x) (fma (cos x) (* (cos x) (cos x)) 1)), (/ (fma (cos x) (+ (cos x) -1) 1) x), (/ (* (sin x) (sin x)) (* x (* (sin x) (sin x)))), (/ (- 1 (cos x)) x), (/ (/ 1 x) x), (* (* (/ x (sin x)) (/ x (sin x))) (+ 1 (cos x))), (* (/ (sin x) x) (tan (/ x 2))), (* (/ x (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x), (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))), (/ (* (* x x) (cbrt (+ 1 (cos x)))) (sin x)), (* (/ (* x x) (sin x)) (sqrt (+ 1 (cos x)))), (* (/ x (tan (/ x 2))) x), (* (/ x (tan (/ x 2))) x), (* (* (/ x (sin x)) (/ x (sin x))) (+ 1 (cos x))), (fma (* x x) (cos x) (* x x)), (/ (* x x) (fma (cos x) (+ (cos x) -1) 1)), (/ (* x x) (- 1 (cos x))), (fma (* x x) (cos x) (* x x)), (real->posit16 (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))), (expm1 (+ 1 (cos x))), (log1p (+ 1 (cos x))), (* E (exp (cos x))), (log1p (cos x)), (* E (exp (cos x))), (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))), (cbrt (+ 1 (cos x))), (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))), (sqrt (+ 1 (cos x))), (sqrt (+ 1 (cos x))), (fma (cos x) (* (cos x) (cos x)) 1), (fma (cos x) (+ (cos x) -1) 1), (* (sin x) (sin x)), (- 1 (cos x)), (+ 1 (cos x)), (real->posit16 (+ 1 (cos x))), (expm1 (* (sin x) (sin x))), (log1p (* (sin x) (sin x))), (* 1/2 (cos (* x 2))), (- 1 (cos (+ x x))), 2, (* (sin x) (sin x)), 2, (+ (log (sin x)) (log (sin x))), (+ (log (sin x)) (log (sin x))), (exp (* (sin x) (sin x))), (* (* (sin x) (sin x)) (* (* (sin x) (sin x)) (* (sin x) (sin x)))), (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))), (cbrt (* (sin x) (sin x))), (* (* (sin x) (sin x)) (* (* (sin x) (sin x)) (* (sin x) (sin x)))), (fabs (sin x)), (fabs (sin x)), (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x)))), (* (cbrt (sin x)) (cbrt (sin x))), (sin x), (sin x), 1, (* (sin x) (sin x)), (sin x), (sin x), 2, (* (* (sin x) (cbrt (sin x))) (cbrt (sin x))), (* (sqrt (sin x)) (sin x)), (sin x), (* (sin x) (cbrt (sin x))), (* (sqrt (sin x)) (sin x)), (* (sin x) (sin x)), (real->posit16 (* (sin x) (sin x))), (expm1 (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (log1p (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (exp (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (* (* (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))), (* (* (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))), (* (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))), (/ (cos (* x 2)) (/ (+ 1 (cos x)) 1/2)), (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))), (/ (sin x) (cbrt (+ 1 (cos x)))), (/ (sin x) (sqrt (+ 1 (cos x)))), (/ (sin x) (sqrt (+ 1 (cos x)))), (sin x), (tan (/ x 2)), (sin x), (tan (/ x 2)), (/ 1 (+ 1 (cos x))), (/ (+ 1 (cos x)) (* (sin x) (sin x))), (* (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x))))), (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))), (* (sin x) (sin x)), (* (sin x) (sin x)), (/ (+ 1 (cos x)) (sin x)), (/ (sin x) (/ (fma (cos x) (* (cos x) (cos x)) 1) (sin x))), (/ (* (sin x) (sin x)) (* (sin x) (sin x))), (+ 2 (* 2 (cos x))), (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))), (+ (* (* x x) -1/24) (fma (* (* x x) (* x x)) 1/720 1/2)), (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))), (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x))), (+ (* -1/2 (* x x)) (fma 1/24 (* (* x x) (* x x)) 2)), (+ 1 (cos x)), (+ 1 (cos x)), (+ (* (* (* x x) (* x x)) -1/3) (fma (* (* x (* x x)) (* x (* x x))) 2/45 (* x x))), (* (sin x) (sin x)), (* (sin x) (sin x)), (fma (* x x) 1/2 (fma 1/720 (* (* x (* x x)) (* x (* x x))) (* (* (* x x) (* x x)) -1/24))), (/ (sin x) (/ (+ 1 (cos x)) (sin x))), (/ (sin x) (/ (+ 1 (cos x)) (sin x)))
3.002 * * * [progress]: adding candidates to table
4.196 * * [progress]: iteration 3 / 4
4.196 * * * [progress]: picking best candidate
4.210 * * * * [pick]: Picked  #<alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))>
4.210 * * * [progress]: localizing error
4.229 * * * [progress]: generating rewritten candidates
4.229 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
4.236 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
4.243 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
4.268 * * * [progress]: generating series expansions
4.268 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
4.269 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x)
4.269 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0
4.269 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x
4.269 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
4.270 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
4.271 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
4.271 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.271 * [taylor]: Taking taylor expansion of 1/2 in x
4.271 * [backup-simplify]: Simplify 1/2 into 1/2
4.271 * [taylor]: Taking taylor expansion of x in x
4.271 * [backup-simplify]: Simplify 0 into 0
4.271 * [backup-simplify]: Simplify 1 into 1
4.271 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.272 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.272 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
4.272 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.272 * [taylor]: Taking taylor expansion of 1/2 in x
4.272 * [backup-simplify]: Simplify 1/2 into 1/2
4.272 * [taylor]: Taking taylor expansion of x in x
4.272 * [backup-simplify]: Simplify 0 into 0
4.272 * [backup-simplify]: Simplify 1 into 1
4.273 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.274 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.274 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
4.275 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.275 * [taylor]: Taking taylor expansion of x in x
4.275 * [backup-simplify]: Simplify 0 into 0
4.275 * [backup-simplify]: Simplify 1 into 1
4.276 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.276 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x
4.276 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
4.276 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
4.276 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
4.276 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.276 * [taylor]: Taking taylor expansion of 1/2 in x
4.276 * [backup-simplify]: Simplify 1/2 into 1/2
4.276 * [taylor]: Taking taylor expansion of x in x
4.276 * [backup-simplify]: Simplify 0 into 0
4.276 * [backup-simplify]: Simplify 1 into 1
4.276 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.277 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.277 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
4.277 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.277 * [taylor]: Taking taylor expansion of 1/2 in x
4.277 * [backup-simplify]: Simplify 1/2 into 1/2
4.277 * [taylor]: Taking taylor expansion of x in x
4.277 * [backup-simplify]: Simplify 0 into 0
4.277 * [backup-simplify]: Simplify 1 into 1
4.278 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.278 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.279 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
4.280 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.280 * [taylor]: Taking taylor expansion of x in x
4.280 * [backup-simplify]: Simplify 0 into 0
4.280 * [backup-simplify]: Simplify 1 into 1
4.280 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.280 * [backup-simplify]: Simplify 1/2 into 1/2
4.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.282 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.283 * [backup-simplify]: Simplify (+ 0) into 0
4.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.284 * [backup-simplify]: Simplify 0 into 0
4.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.287 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
4.288 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
4.290 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
4.291 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24
4.291 * [backup-simplify]: Simplify 1/24 into 1/24
4.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
4.294 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.297 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
4.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0
4.300 * [backup-simplify]: Simplify 0 into 0
4.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
4.303 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
4.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.305 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
4.306 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240
4.307 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240
4.307 * [backup-simplify]: Simplify 1/240 into 1/240
4.308 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 4)) (+ (* 1/24 (pow x 2)) 1/2)) into (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2))
4.308 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x)
4.308 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0
4.308 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x
4.308 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
4.308 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
4.308 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
4.308 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.308 * [taylor]: Taking taylor expansion of 1/2 in x
4.308 * [backup-simplify]: Simplify 1/2 into 1/2
4.308 * [taylor]: Taking taylor expansion of x in x
4.308 * [backup-simplify]: Simplify 0 into 0
4.308 * [backup-simplify]: Simplify 1 into 1
4.308 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.308 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
4.309 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
4.309 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.309 * [taylor]: Taking taylor expansion of 1/2 in x
4.309 * [backup-simplify]: Simplify 1/2 into 1/2
4.309 * [taylor]: Taking taylor expansion of x in x
4.309 * [backup-simplify]: Simplify 0 into 0
4.309 * [backup-simplify]: Simplify 1 into 1
4.309 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.309 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
4.309 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
4.309 * [taylor]: Taking taylor expansion of x in x
4.309 * [backup-simplify]: Simplify 0 into 0
4.309 * [backup-simplify]: Simplify 1 into 1
4.309 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x
4.309 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
4.309 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
4.309 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
4.309 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.309 * [taylor]: Taking taylor expansion of 1/2 in x
4.309 * [backup-simplify]: Simplify 1/2 into 1/2
4.309 * [taylor]: Taking taylor expansion of x in x
4.309 * [backup-simplify]: Simplify 0 into 0
4.309 * [backup-simplify]: Simplify 1 into 1
4.310 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.310 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
4.310 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
4.310 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.310 * [taylor]: Taking taylor expansion of 1/2 in x
4.310 * [backup-simplify]: Simplify 1/2 into 1/2
4.310 * [taylor]: Taking taylor expansion of x in x
4.310 * [backup-simplify]: Simplify 0 into 0
4.310 * [backup-simplify]: Simplify 1 into 1
4.310 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.310 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
4.310 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
4.310 * [taylor]: Taking taylor expansion of x in x
4.310 * [backup-simplify]: Simplify 0 into 0
4.310 * [backup-simplify]: Simplify 1 into 1
4.310 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0
4.310 * [backup-simplify]: Simplify 0 into 0
4.311 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
4.311 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
4.311 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
4.311 * [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
4.312 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0
4.312 * [backup-simplify]: Simplify 0 into 0
4.312 * [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
4.313 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.313 * [backup-simplify]: Simplify 0 into 0
4.313 * [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
4.314 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
4.314 * [backup-simplify]: Simplify 0 into 0
4.314 * [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
4.315 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
4.315 * [backup-simplify]: Simplify 0 into 0
4.315 * [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
4.316 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
4.316 * [backup-simplify]: Simplify 0 into 0
4.316 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
4.317 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
4.317 * [backup-simplify]: Simplify 0 into 0
4.317 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))
4.317 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x))))
4.317 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0
4.318 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x
4.318 * [taylor]: Taking taylor expansion of -1 in x
4.318 * [backup-simplify]: Simplify -1 into -1
4.318 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x
4.318 * [taylor]: Taking taylor expansion of x in x
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify 1 into 1
4.318 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
4.318 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
4.318 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
4.318 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
4.318 * [taylor]: Taking taylor expansion of -1/2 in x
4.318 * [backup-simplify]: Simplify -1/2 into -1/2
4.318 * [taylor]: Taking taylor expansion of x in x
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify 1 into 1
4.318 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.318 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
4.318 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
4.318 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
4.318 * [taylor]: Taking taylor expansion of -1/2 in x
4.318 * [backup-simplify]: Simplify -1/2 into -1/2
4.318 * [taylor]: Taking taylor expansion of x in x
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify 1 into 1
4.319 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.319 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
4.319 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
4.319 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x
4.319 * [taylor]: Taking taylor expansion of -1 in x
4.319 * [backup-simplify]: Simplify -1 into -1
4.319 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x
4.319 * [taylor]: Taking taylor expansion of x in x
4.319 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify 1 into 1
4.319 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
4.319 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
4.319 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
4.319 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
4.319 * [taylor]: Taking taylor expansion of -1/2 in x
4.319 * [backup-simplify]: Simplify -1/2 into -1/2
4.319 * [taylor]: Taking taylor expansion of x in x
4.319 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify 1 into 1
4.319 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.319 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
4.319 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
4.319 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
4.319 * [taylor]: Taking taylor expansion of -1/2 in x
4.319 * [backup-simplify]: Simplify -1/2 into -1/2
4.319 * [taylor]: Taking taylor expansion of x in x
4.319 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify 1 into 1
4.320 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.320 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
4.320 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
4.320 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0
4.320 * [backup-simplify]: Simplify (* -1 0) into 0
4.320 * [backup-simplify]: Simplify 0 into 0
4.320 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
4.321 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
4.321 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))
4.321 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))
4.321 * [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
4.322 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0
4.322 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0
4.323 * [backup-simplify]: Simplify 0 into 0
4.323 * [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
4.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
4.324 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0
4.325 * [backup-simplify]: Simplify 0 into 0
4.325 * [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
4.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0
4.327 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0
4.327 * [backup-simplify]: Simplify 0 into 0
4.328 * [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
4.329 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0
4.330 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0
4.330 * [backup-simplify]: Simplify 0 into 0
4.330 * [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
4.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0
4.333 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))))) into 0
4.333 * [backup-simplify]: Simplify 0 into 0
4.334 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
4.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0
4.337 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))))) into 0
4.337 * [backup-simplify]: Simplify 0 into 0
4.337 * [backup-simplify]: Simplify (* (- (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))
4.337 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
4.337 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x)
4.337 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0
4.337 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x
4.337 * [taylor]: Taking taylor expansion of (sin x) in x
4.337 * [taylor]: Taking taylor expansion of x in x
4.337 * [backup-simplify]: Simplify 0 into 0
4.337 * [backup-simplify]: Simplify 1 into 1
4.337 * [taylor]: Taking taylor expansion of x in x
4.337 * [backup-simplify]: Simplify 0 into 0
4.337 * [backup-simplify]: Simplify 1 into 1
4.338 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.338 * [backup-simplify]: Simplify (/ 1 1) into 1
4.338 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x
4.338 * [taylor]: Taking taylor expansion of (sin x) in x
4.338 * [taylor]: Taking taylor expansion of x in x
4.338 * [backup-simplify]: Simplify 0 into 0
4.338 * [backup-simplify]: Simplify 1 into 1
4.338 * [taylor]: Taking taylor expansion of x in x
4.338 * [backup-simplify]: Simplify 0 into 0
4.338 * [backup-simplify]: Simplify 1 into 1
4.338 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.339 * [backup-simplify]: Simplify (/ 1 1) into 1
4.339 * [backup-simplify]: Simplify 1 into 1
4.339 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
4.340 * [backup-simplify]: Simplify 0 into 0
4.341 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.341 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6
4.341 * [backup-simplify]: Simplify -1/6 into -1/6
4.342 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0
4.343 * [backup-simplify]: Simplify 0 into 0
4.345 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
4.345 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120
4.345 * [backup-simplify]: Simplify 1/120 into 1/120
4.346 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2)))
4.346 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x)))
4.346 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0
4.346 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x
4.346 * [taylor]: Taking taylor expansion of x in x
4.346 * [backup-simplify]: Simplify 0 into 0
4.346 * [backup-simplify]: Simplify 1 into 1
4.346 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
4.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.346 * [taylor]: Taking taylor expansion of x in x
4.346 * [backup-simplify]: Simplify 0 into 0
4.346 * [backup-simplify]: Simplify 1 into 1
4.346 * [backup-simplify]: Simplify (/ 1 1) into 1
4.346 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.346 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x
4.346 * [taylor]: Taking taylor expansion of x in x
4.346 * [backup-simplify]: Simplify 0 into 0
4.346 * [backup-simplify]: Simplify 1 into 1
4.346 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
4.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.346 * [taylor]: Taking taylor expansion of x in x
4.346 * [backup-simplify]: Simplify 0 into 0
4.346 * [backup-simplify]: Simplify 1 into 1
4.347 * [backup-simplify]: Simplify (/ 1 1) into 1
4.347 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.347 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0
4.347 * [backup-simplify]: Simplify 0 into 0
4.347 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x))
4.347 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0
4.348 * [backup-simplify]: Simplify 0 into 0
4.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
4.348 * [backup-simplify]: Simplify 0 into 0
4.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
4.349 * [backup-simplify]: Simplify 0 into 0
4.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
4.351 * [backup-simplify]: Simplify 0 into 0
4.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
4.352 * [backup-simplify]: Simplify 0 into 0
4.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0
4.354 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x)
4.354 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x))))
4.354 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0
4.354 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x
4.354 * [taylor]: Taking taylor expansion of -1 in x
4.354 * [backup-simplify]: Simplify -1 into -1
4.354 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x
4.354 * [taylor]: Taking taylor expansion of x in x
4.354 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify 1 into 1
4.354 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.354 * [taylor]: Taking taylor expansion of -1 in x
4.354 * [backup-simplify]: Simplify -1 into -1
4.354 * [taylor]: Taking taylor expansion of x in x
4.354 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify 1 into 1
4.354 * [backup-simplify]: Simplify (/ -1 1) into -1
4.354 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.354 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x
4.354 * [taylor]: Taking taylor expansion of -1 in x
4.354 * [backup-simplify]: Simplify -1 into -1
4.354 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x
4.354 * [taylor]: Taking taylor expansion of x in x
4.354 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify 1 into 1
4.354 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.354 * [taylor]: Taking taylor expansion of -1 in x
4.354 * [backup-simplify]: Simplify -1 into -1
4.354 * [taylor]: Taking taylor expansion of x in x
4.354 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify 1 into 1
4.355 * [backup-simplify]: Simplify (/ -1 1) into -1
4.355 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.355 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0
4.355 * [backup-simplify]: Simplify (* -1 0) into 0
4.355 * [backup-simplify]: Simplify 0 into 0
4.356 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x))
4.356 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x)))
4.356 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
4.356 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0
4.357 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0
4.357 * [backup-simplify]: Simplify 0 into 0
4.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
4.358 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0
4.359 * [backup-simplify]: Simplify 0 into 0
4.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
4.360 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0
4.360 * [backup-simplify]: Simplify 0 into 0
4.362 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
4.363 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0
4.363 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
4.368 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0
4.368 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0
4.371 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0
4.371 * [backup-simplify]: Simplify 0 into 0
4.372 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x)
4.372 * * * * [progress]: [ 3 / 3 ] generating series at (2)
4.372 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2))
4.372 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0
4.372 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x
4.372 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
4.372 * [taylor]: Taking taylor expansion of (sin x) in x
4.372 * [taylor]: Taking taylor expansion of x in x
4.372 * [backup-simplify]: Simplify 0 into 0
4.372 * [backup-simplify]: Simplify 1 into 1
4.372 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
4.372 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
4.372 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
4.372 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.372 * [taylor]: Taking taylor expansion of 1/2 in x
4.372 * [backup-simplify]: Simplify 1/2 into 1/2
4.372 * [taylor]: Taking taylor expansion of x in x
4.372 * [backup-simplify]: Simplify 0 into 0
4.372 * [backup-simplify]: Simplify 1 into 1
4.372 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.373 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.373 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
4.373 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.373 * [taylor]: Taking taylor expansion of 1/2 in x
4.373 * [backup-simplify]: Simplify 1/2 into 1/2
4.373 * [taylor]: Taking taylor expansion of x in x
4.373 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify 1 into 1
4.373 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.373 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.374 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
4.374 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.374 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.374 * [taylor]: Taking taylor expansion of x in x
4.374 * [backup-simplify]: Simplify 0 into 0
4.374 * [backup-simplify]: Simplify 1 into 1
4.375 * [backup-simplify]: Simplify (* 0 1/2) into 0
4.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.376 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.376 * [backup-simplify]: Simplify (+ 0) into 0
4.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.377 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.377 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
4.377 * [backup-simplify]: Simplify (* 1 1) into 1
4.378 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.378 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x
4.378 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
4.378 * [taylor]: Taking taylor expansion of (sin x) in x
4.378 * [taylor]: Taking taylor expansion of x in x
4.378 * [backup-simplify]: Simplify 0 into 0
4.378 * [backup-simplify]: Simplify 1 into 1
4.378 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
4.378 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
4.378 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
4.378 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.378 * [taylor]: Taking taylor expansion of 1/2 in x
4.378 * [backup-simplify]: Simplify 1/2 into 1/2
4.378 * [taylor]: Taking taylor expansion of x in x
4.378 * [backup-simplify]: Simplify 0 into 0
4.378 * [backup-simplify]: Simplify 1 into 1
4.378 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.379 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.379 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
4.379 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.379 * [taylor]: Taking taylor expansion of 1/2 in x
4.379 * [backup-simplify]: Simplify 1/2 into 1/2
4.379 * [taylor]: Taking taylor expansion of x in x
4.379 * [backup-simplify]: Simplify 0 into 0
4.379 * [backup-simplify]: Simplify 1 into 1
4.379 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.379 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.380 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
4.381 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.381 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.381 * [taylor]: Taking taylor expansion of x in x
4.381 * [backup-simplify]: Simplify 0 into 0
4.381 * [backup-simplify]: Simplify 1 into 1
4.381 * [backup-simplify]: Simplify (* 0 1/2) into 0
4.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.383 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.383 * [backup-simplify]: Simplify (+ 0) into 0
4.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.385 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.386 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
4.387 * [backup-simplify]: Simplify (* 1 1) into 1
4.387 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.387 * [backup-simplify]: Simplify 1/2 into 1/2
4.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.390 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
4.391 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
4.393 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
4.394 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.395 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
4.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.397 * [backup-simplify]: Simplify 0 into 0
4.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
4.400 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.403 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
4.406 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.408 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24
4.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.410 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
4.410 * [backup-simplify]: Simplify -1/24 into -1/24
4.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
4.415 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
4.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.420 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
4.422 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240
4.424 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.426 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0
4.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
4.428 * [backup-simplify]: Simplify 0 into 0
4.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
4.435 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
4.439 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0
4.442 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
4.444 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720
4.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.445 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
4.445 * [backup-simplify]: Simplify 1/720 into 1/720
4.446 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))
4.446 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x))))
4.446 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0
4.446 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x
4.446 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.446 * [taylor]: Taking taylor expansion of x in x
4.446 * [backup-simplify]: Simplify 0 into 0
4.446 * [backup-simplify]: Simplify 1 into 1
4.446 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x
4.446 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
4.446 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
4.446 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
4.446 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.446 * [taylor]: Taking taylor expansion of 1/2 in x
4.446 * [backup-simplify]: Simplify 1/2 into 1/2
4.446 * [taylor]: Taking taylor expansion of x in x
4.446 * [backup-simplify]: Simplify 0 into 0
4.446 * [backup-simplify]: Simplify 1 into 1
4.446 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.447 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
4.447 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
4.447 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.447 * [taylor]: Taking taylor expansion of 1/2 in x
4.447 * [backup-simplify]: Simplify 1/2 into 1/2
4.447 * [taylor]: Taking taylor expansion of x in x
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify 1 into 1
4.447 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.447 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
4.447 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
4.447 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
4.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.447 * [taylor]: Taking taylor expansion of x in x
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify 1 into 1
4.447 * [backup-simplify]: Simplify (/ 1 1) into 1
4.447 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.447 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x
4.447 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.448 * [taylor]: Taking taylor expansion of x in x
4.448 * [backup-simplify]: Simplify 0 into 0
4.448 * [backup-simplify]: Simplify 1 into 1
4.448 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x
4.448 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
4.448 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
4.448 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
4.448 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.448 * [taylor]: Taking taylor expansion of 1/2 in x
4.448 * [backup-simplify]: Simplify 1/2 into 1/2
4.448 * [taylor]: Taking taylor expansion of x in x
4.448 * [backup-simplify]: Simplify 0 into 0
4.448 * [backup-simplify]: Simplify 1 into 1
4.448 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.448 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
4.448 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
4.448 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.448 * [taylor]: Taking taylor expansion of 1/2 in x
4.448 * [backup-simplify]: Simplify 1/2 into 1/2
4.448 * [taylor]: Taking taylor expansion of x in x
4.448 * [backup-simplify]: Simplify 0 into 0
4.448 * [backup-simplify]: Simplify 1 into 1
4.448 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.449 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
4.449 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
4.449 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
4.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.449 * [taylor]: Taking taylor expansion of x in x
4.449 * [backup-simplify]: Simplify 0 into 0
4.449 * [backup-simplify]: Simplify 1 into 1
4.449 * [backup-simplify]: Simplify (/ 1 1) into 1
4.449 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.449 * [backup-simplify]: Simplify (* 1 1) into 1
4.449 * [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)))
4.450 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
4.450 * [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)))
4.450 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
4.450 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
4.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0
4.451 * [backup-simplify]: Simplify 0 into 0
4.451 * [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
4.451 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
4.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
4.452 * [backup-simplify]: Simplify 0 into 0
4.453 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
4.453 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
4.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0
4.455 * [backup-simplify]: Simplify 0 into 0
4.455 * [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
4.456 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
4.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0
4.457 * [backup-simplify]: Simplify 0 into 0
4.458 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
4.459 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
4.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0
4.461 * [backup-simplify]: Simplify 0 into 0
4.461 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
4.462 * [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
4.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0
4.465 * [backup-simplify]: Simplify 0 into 0
4.465 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
4.465 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x))))
4.465 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0
4.465 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
4.465 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.465 * [taylor]: Taking taylor expansion of x in x
4.465 * [backup-simplify]: Simplify 0 into 0
4.465 * [backup-simplify]: Simplify 1 into 1
4.465 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
4.465 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
4.465 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
4.465 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
4.465 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
4.465 * [taylor]: Taking taylor expansion of -1/2 in x
4.465 * [backup-simplify]: Simplify -1/2 into -1/2
4.465 * [taylor]: Taking taylor expansion of x in x
4.465 * [backup-simplify]: Simplify 0 into 0
4.465 * [backup-simplify]: Simplify 1 into 1
4.466 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.466 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
4.466 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
4.466 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
4.466 * [taylor]: Taking taylor expansion of -1/2 in x
4.466 * [backup-simplify]: Simplify -1/2 into -1/2
4.466 * [taylor]: Taking taylor expansion of x in x
4.466 * [backup-simplify]: Simplify 0 into 0
4.466 * [backup-simplify]: Simplify 1 into 1
4.466 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.466 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
4.467 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
4.467 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.467 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.467 * [taylor]: Taking taylor expansion of -1 in x
4.467 * [backup-simplify]: Simplify -1 into -1
4.467 * [taylor]: Taking taylor expansion of x in x
4.467 * [backup-simplify]: Simplify 0 into 0
4.467 * [backup-simplify]: Simplify 1 into 1
4.467 * [backup-simplify]: Simplify (/ -1 1) into -1
4.467 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.467 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
4.467 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.467 * [taylor]: Taking taylor expansion of x in x
4.467 * [backup-simplify]: Simplify 0 into 0
4.467 * [backup-simplify]: Simplify 1 into 1
4.467 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
4.467 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
4.467 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
4.467 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
4.467 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
4.467 * [taylor]: Taking taylor expansion of -1/2 in x
4.467 * [backup-simplify]: Simplify -1/2 into -1/2
4.467 * [taylor]: Taking taylor expansion of x in x
4.467 * [backup-simplify]: Simplify 0 into 0
4.467 * [backup-simplify]: Simplify 1 into 1
4.468 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.468 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
4.468 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
4.468 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
4.468 * [taylor]: Taking taylor expansion of -1/2 in x
4.468 * [backup-simplify]: Simplify -1/2 into -1/2
4.468 * [taylor]: Taking taylor expansion of x in x
4.468 * [backup-simplify]: Simplify 0 into 0
4.468 * [backup-simplify]: Simplify 1 into 1
4.468 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.468 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
4.468 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
4.468 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.468 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.468 * [taylor]: Taking taylor expansion of -1 in x
4.468 * [backup-simplify]: Simplify -1 into -1
4.468 * [taylor]: Taking taylor expansion of x in x
4.468 * [backup-simplify]: Simplify 0 into 0
4.468 * [backup-simplify]: Simplify 1 into 1
4.469 * [backup-simplify]: Simplify (/ -1 1) into -1
4.469 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.469 * [backup-simplify]: Simplify (* 1 1) into 1
4.469 * [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)))
4.469 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
4.469 * [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)))
4.470 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
4.470 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
4.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0
4.470 * [backup-simplify]: Simplify 0 into 0
4.471 * [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
4.471 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
4.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
4.472 * [backup-simplify]: Simplify 0 into 0
4.473 * [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
4.473 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
4.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0
4.475 * [backup-simplify]: Simplify 0 into 0
4.475 * [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
4.476 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
4.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0
4.482 * [backup-simplify]: Simplify 0 into 0
4.483 * [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
4.484 * [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
4.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0
4.488 * [backup-simplify]: Simplify 0 into 0
4.488 * [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
4.490 * [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
4.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0
4.494 * [backup-simplify]: Simplify 0 into 0
4.495 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
4.495 * * * [progress]: simplifying candidates
4.495 * * * * [progress]: [ 1 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (log1p (expm1 (/ (tan (/ x 2)) x)))))>
4.495 * * * * [progress]: [ 2 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (expm1 (log1p (/ (tan (/ x 2)) x)))))>
4.495 * * * * [progress]: [ 3 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (pow (/ (tan (/ x 2)) x) 1)))>
4.495 * * * * [progress]: [ 4 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (exp (- (log (tan (/ x 2))) (log x)))))>
4.495 * * * * [progress]: [ 5 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (exp (log (/ (tan (/ x 2)) x)))))>
4.495 * * * * [progress]: [ 6 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (log (exp (/ (tan (/ x 2)) x)))))>
4.495 * * * * [progress]: [ 7 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (cbrt (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)))))>
4.495 * * * * [progress]: [ 8 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)))))>
4.495 * * * * [progress]: [ 9 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (cbrt (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)))))>
4.496 * * * * [progress]: [ 10 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)))))>
4.496 * * * * [progress]: [ 11 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (- (tan (/ x 2))) (- x))))>
4.496 * * * * [progress]: [ 12 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)))))>
4.496 * * * * [progress]: [ 13 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (/ (cbrt (tan (/ x 2))) (sqrt x)))))>
4.496 * * * * [progress]: [ 14 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1) (/ (cbrt (tan (/ x 2))) x))))>
4.496 * * * * [progress]: [ 15 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)))))>
4.496 * * * * [progress]: [ 16 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)))))>
4.496 * * * * [progress]: [ 17 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ (sqrt (tan (/ x 2))) 1) (/ (sqrt (tan (/ x 2))) x))))>
4.496 * * * * [progress]: [ 18 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)))))>
4.496 * * * * [progress]: [ 19 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)))))>
4.496 * * * * [progress]: [ 20 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (/ 1 1) (/ (tan (/ x 2)) x))))>
4.496 * * * * [progress]: [ 21 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* 1 (/ (tan (/ x 2)) x))))>
4.496 * * * * [progress]: [ 22 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x))))>
4.496 * * * * [progress]: [ 23 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ 1 (/ x (tan (/ x 2))))))>
4.496 * * * * [progress]: [ 24 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (cbrt x))))>
4.497 * * * * [progress]: [ 25 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (/ (tan (/ x 2)) (sqrt x)) (sqrt x))))>
4.497 * * * * [progress]: [ 26 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (/ (tan (/ x 2)) 1) x)))>
4.497 * * * * [progress]: [ 27 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ x (cbrt (tan (/ x 2)))))))>
4.497 * * * * [progress]: [ 28 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (/ x (sqrt (tan (/ x 2)))))))>
4.497 * * * * [progress]: [ 29 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ 1 (/ x (tan (/ x 2))))))>
4.497 * * * * [progress]: [ 30 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (sin (/ x 2)) (* x (cos (/ x 2))))))>
4.497 * * * * [progress]: [ 31 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (posit16->real (real->posit16 (/ (tan (/ x 2)) x)))))>
4.497 * * * * [progress]: [ 32 / 123 ] simplifiying candidate #<alt (λ (x) (* (log1p (expm1 (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
4.497 * * * * [progress]: [ 33 / 123 ] simplifiying candidate #<alt (λ (x) (* (expm1 (log1p (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
4.497 * * * * [progress]: [ 34 / 123 ] simplifiying candidate #<alt (λ (x) (* (pow (/ (sin x) x) 1) (/ (tan (/ x 2)) x)))>
4.497 * * * * [progress]: [ 35 / 123 ] simplifiying candidate #<alt (λ (x) (* (exp (- (log (sin x)) (log x))) (/ (tan (/ x 2)) x)))>
4.497 * * * * [progress]: [ 36 / 123 ] simplifiying candidate #<alt (λ (x) (* (exp (log (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
4.497 * * * * [progress]: [ 37 / 123 ] simplifiying candidate #<alt (λ (x) (* (log (exp (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
4.497 * * * * [progress]: [ 38 / 123 ] simplifiying candidate #<alt (λ (x) (* (cbrt (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x))) (/ (tan (/ x 2)) x)))>
4.497 * * * * [progress]: [ 39 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
4.497 * * * * [progress]: [ 40 / 123 ] simplifiying candidate #<alt (λ (x) (* (cbrt (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
4.498 * * * * [progress]: [ 41 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
4.498 * * * * [progress]: [ 42 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (- (sin x)) (- x)) (/ (tan (/ x 2)) x)))>
4.498 * * * * [progress]: [ 43 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x))) (/ (tan (/ x 2)) x)))>
4.498 * * * * [progress]: [ 44 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x))) (/ (tan (/ x 2)) x)))>
4.498 * * * * [progress]: [ 45 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) x)) (/ (tan (/ x 2)) x)))>
4.498 * * * * [progress]: [ 46 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x))) (/ (tan (/ x 2)) x)))>
4.498 * * * * [progress]: [ 47 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x))) (/ (tan (/ x 2)) x)))>
4.498 * * * * [progress]: [ 48 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) x)) (/ (tan (/ x 2)) x)))>
4.498 * * * * [progress]: [ 49 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x))) (/ (tan (/ x 2)) x)))>
4.498 * * * * [progress]: [ 50 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ 1 (sqrt x)) (/ (sin x) (sqrt x))) (/ (tan (/ x 2)) x)))>
4.498 * * * * [progress]: [ 51 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ 1 1) (/ (sin x) x)) (/ (tan (/ x 2)) x)))>
4.498 * * * * [progress]: [ 52 / 123 ] simplifiying candidate #<alt (λ (x) (* (* 1 (/ (sin x) x)) (/ (tan (/ x 2)) x)))>
4.498 * * * * [progress]: [ 53 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (sin x) (/ 1 x)) (/ (tan (/ x 2)) x)))>
4.498 * * * * [progress]: [ 54 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (/ x (sin x))) (/ (tan (/ x 2)) x)))>
4.498 * * * * [progress]: [ 55 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) (* (cbrt x) (cbrt x))) (cbrt x)) (/ (tan (/ x 2)) x)))>
4.498 * * * * [progress]: [ 56 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) (sqrt x)) (sqrt x)) (/ (tan (/ x 2)) x)))>
4.499 * * * * [progress]: [ 57 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) 1) x) (/ (tan (/ x 2)) x)))>
4.499 * * * * [progress]: [ 58 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ x (cbrt (sin x)))) (/ (tan (/ x 2)) x)))>
4.499 * * * * [progress]: [ 59 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) (/ x (sqrt (sin x)))) (/ (tan (/ x 2)) x)))>
4.499 * * * * [progress]: [ 60 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (/ x (sin x))) (/ (tan (/ x 2)) x)))>
4.499 * * * * [progress]: [ 61 / 123 ] simplifiying candidate #<alt (λ (x) (* (posit16->real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
4.499 * * * * [progress]: [ 62 / 123 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
4.499 * * * * [progress]: [ 63 / 123 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
4.499 * * * * [progress]: [ 64 / 123 ] simplifiying candidate #<alt (λ (x) (pow (* (/ (sin x) x) (/ (tan (/ x 2)) x)) 1))>
4.499 * * * * [progress]: [ 65 / 123 ] simplifiying candidate #<alt (λ (x) (pow (* (/ (sin x) x) (/ (tan (/ x 2)) x)) 1))>
4.499 * * * * [progress]: [ 66 / 123 ] simplifiying candidate #<alt (λ (x) (exp (+ (- (log (sin x)) (log x)) (- (log (tan (/ x 2))) (log x)))))>
4.499 * * * * [progress]: [ 67 / 123 ] simplifiying candidate #<alt (λ (x) (exp (+ (- (log (sin x)) (log x)) (log (/ (tan (/ x 2)) x)))))>
4.499 * * * * [progress]: [ 68 / 123 ] simplifiying candidate #<alt (λ (x) (exp (+ (log (/ (sin x) x)) (- (log (tan (/ x 2))) (log x)))))>
4.499 * * * * [progress]: [ 69 / 123 ] simplifiying candidate #<alt (λ (x) (exp (+ (log (/ (sin x) x)) (log (/ (tan (/ x 2)) x)))))>
4.499 * * * * [progress]: [ 70 / 123 ] simplifiying candidate #<alt (λ (x) (exp (log (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
4.499 * * * * [progress]: [ 71 / 123 ] simplifiying candidate #<alt (λ (x) (log (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
4.499 * * * * [progress]: [ 72 / 123 ] simplifiying candidate #<alt (λ (x) (cbrt (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)))))>
4.500 * * * * [progress]: [ 73 / 123 ] simplifiying candidate #<alt (λ (x) (cbrt (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)))))>
4.500 * * * * [progress]: [ 74 / 123 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)))))>
4.500 * * * * [progress]: [ 75 / 123 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)))))>
4.500 * * * * [progress]: [ 76 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
4.500 * * * * [progress]: [ 77 / 123 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
4.500 * * * * [progress]: [ 78 / 123 ] simplifiying candidate #<alt (λ (x) (* (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
4.500 * * * * [progress]: [ 79 / 123 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (tan (/ x 2))) (* x x)))>
4.500 * * * * [progress]: [ 80 / 123 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (sin x) x) (/ (tan (/ x 2)) x))))>
4.500 * * * * [progress]: [ 81 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x)))))>
4.500 * * * * [progress]: [ 82 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x)))))>
4.500 * * * * [progress]: [ 83 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x)))))>
4.500 * * * * [progress]: [ 84 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)))))>
4.500 * * * * [progress]: [ 85 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))) (cbrt (/ (tan (/ x 2)) x))))>
4.500 * * * * [progress]: [ 86 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (sqrt (/ (tan (/ x 2)) x))) (sqrt (/ (tan (/ x 2)) x))))>
4.501 * * * * [progress]: [ 87 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x)))) (/ (cbrt (tan (/ x 2))) (cbrt x))))>
4.501 * * * * [progress]: [ 88 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))) (/ (cbrt (tan (/ x 2))) (sqrt x))))>
4.501 * * * * [progress]: [ 89 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)) (/ (cbrt (tan (/ x 2))) x)))>
4.501 * * * * [progress]: [ 90 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))) (/ (sqrt (tan (/ x 2))) (cbrt x))))>
4.501 * * * * [progress]: [ 91 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (sqrt x))) (/ (sqrt (tan (/ x 2))) (sqrt x))))>
4.501 * * * * [progress]: [ 92 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) 1)) (/ (sqrt (tan (/ x 2))) x)))>
4.501 * * * * [progress]: [ 93 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ 1 (* (cbrt x) (cbrt x)))) (/ (tan (/ x 2)) (cbrt x))))>
4.501 * * * * [progress]: [ 94 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ 1 (sqrt x))) (/ (tan (/ x 2)) (sqrt x))))>
4.501 * * * * [progress]: [ 95 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (/ 1 1)) (/ (tan (/ x 2)) x)))>
4.501 * * * * [progress]: [ 96 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) 1) (/ (tan (/ x 2)) x)))>
4.501 * * * * [progress]: [ 97 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (/ (sin x) x) (tan (/ x 2))) (/ 1 x)))>
4.501 * * * * [progress]: [ 98 / 123 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x))))>
4.501 * * * * [progress]: [ 99 / 123 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (sin x) x)) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x))))>
4.501 * * * * [progress]: [ 100 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (* (/ (cbrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x))))>
4.501 * * * * [progress]: [ 101 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (* (/ (cbrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x))))>
4.501 * * * * [progress]: [ 102 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (* (/ (cbrt (sin x)) x) (/ (tan (/ x 2)) x))))>
4.501 * * * * [progress]: [ 103 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (* (/ (sqrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x))))>
4.502 * * * * [progress]: [ 104 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) (sqrt x)) (* (/ (sqrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x))))>
4.502 * * * * [progress]: [ 105 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (sin x)) 1) (* (/ (sqrt (sin x)) x) (/ (tan (/ x 2)) x))))>
4.502 * * * * [progress]: [ 106 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (cbrt x) (cbrt x))) (* (/ (sin x) (cbrt x)) (/ (tan (/ x 2)) x))))>
4.502 * * * * [progress]: [ 107 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt x)) (* (/ (sin x) (sqrt x)) (/ (tan (/ x 2)) x))))>
4.502 * * * * [progress]: [ 108 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ 1 1) (* (/ (sin x) x) (/ (tan (/ x 2)) x))))>
4.502 * * * * [progress]: [ 109 / 123 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (sin x) x) (/ (tan (/ x 2)) x))))>
4.502 * * * * [progress]: [ 110 / 123 ] simplifiying candidate #<alt (λ (x) (* (sin x) (* (/ 1 x) (/ (tan (/ x 2)) x))))>
4.502 * * * * [progress]: [ 111 / 123 ] simplifiying candidate #<alt (λ (x) (/ (* (/ (sin x) x) (tan (/ x 2))) x))>
4.502 * * * * [progress]: [ 112 / 123 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))>
4.502 * * * * [progress]: [ 113 / 123 ] simplifiying candidate #<alt (λ (x) (posit16->real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
4.502 * * * * [progress]: [ 114 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (tan (/ x 2)) x) (/ (sin x) x)))>
4.502 * * * * [progress]: [ 115 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2))))>
4.502 * * * * [progress]: [ 116 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))))>
4.502 * * * * [progress]: [ 117 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))))>
4.502 * * * * [progress]: [ 118 / 123 ] simplifiying candidate #<alt (λ (x) (* (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (tan (/ x 2)) x)))>
4.502 * * * * [progress]: [ 119 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))>
4.502 * * * * [progress]: [ 120 / 123 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))>
4.503 * * * * [progress]: [ 121 / 123 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
4.503 * * * * [progress]: [ 122 / 123 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
4.503 * * * * [progress]: [ 123 / 123 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
4.505 * [simplify]: Simplifying (expm1 (/ (tan (/ x 2)) x)), (log1p (/ (tan (/ x 2)) x)), (- (log (tan (/ x 2))) (log x)), (log (/ (tan (/ x 2)) x)), (exp (/ (tan (/ x 2)) x)), (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)), (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))), (cbrt (/ (tan (/ x 2)) x)), (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)), (sqrt (/ (tan (/ x 2)) x)), (sqrt (/ (tan (/ x 2)) x)), (- (tan (/ x 2))), (- x), (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x))), (/ (cbrt (tan (/ x 2))) (cbrt x)), (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)), (/ (cbrt (tan (/ x 2))) (sqrt x)), (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1), (/ (cbrt (tan (/ x 2))) x), (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))), (/ (sqrt (tan (/ x 2))) (cbrt x)), (/ (sqrt (tan (/ x 2))) (sqrt x)), (/ (sqrt (tan (/ x 2))) (sqrt x)), (/ (sqrt (tan (/ x 2))) 1), (/ (sqrt (tan (/ x 2))) x), (/ 1 (* (cbrt x) (cbrt x))), (/ (tan (/ x 2)) (cbrt x)), (/ 1 (sqrt x)), (/ (tan (/ x 2)) (sqrt x)), (/ 1 1), (/ (tan (/ x 2)) x), (/ 1 x), (/ x (tan (/ x 2))), (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))), (/ (tan (/ x 2)) (sqrt x)), (/ (tan (/ x 2)) 1), (/ x (cbrt (tan (/ x 2)))), (/ x (sqrt (tan (/ x 2)))), (/ x (tan (/ x 2))), (* x (cos (/ x 2))), (real->posit16 (/ (tan (/ x 2)) x)), (expm1 (/ (sin x) x)), (log1p (/ (sin x) x)), (- (log (sin x)) (log x)), (log (/ (sin x) x)), (exp (/ (sin x) x)), (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)), (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))), (cbrt (/ (sin x) x)), (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)), (sqrt (/ (sin x) x)), (sqrt (/ (sin x) x)), (- (sin x)), (- x), (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))), (/ (cbrt (sin x)) (cbrt x)), (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)), (/ (cbrt (sin x)) (sqrt x)), (/ (* (cbrt (sin x)) (cbrt (sin x))) 1), (/ (cbrt (sin x)) x), (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))), (/ (sqrt (sin x)) (cbrt x)), (/ (sqrt (sin x)) (sqrt x)), (/ (sqrt (sin x)) (sqrt x)), (/ (sqrt (sin x)) 1), (/ (sqrt (sin x)) x), (/ 1 (* (cbrt x) (cbrt x))), (/ (sin x) (cbrt x)), (/ 1 (sqrt x)), (/ (sin x) (sqrt x)), (/ 1 1), (/ (sin x) x), (/ 1 x), (/ x (sin x)), (/ (sin x) (* (cbrt x) (cbrt x))), (/ (sin x) (sqrt x)), (/ (sin x) 1), (/ x (cbrt (sin x))), (/ x (sqrt (sin x))), (/ x (sin x)), (real->posit16 (/ (sin x) x)), (expm1 (* (/ (sin x) x) (/ (tan (/ x 2)) x))), (log1p (* (/ (sin x) x) (/ (tan (/ x 2)) x))), (* (/ (sin x) x) (/ (tan (/ x 2)) x)), (+ (- (log (sin x)) (log x)) (- (log (tan (/ x 2))) (log x))), (+ (- (log (sin x)) (log x)) (log (/ (tan (/ x 2)) x))), (+ (log (/ (sin x) x)) (- (log (tan (/ x 2))) (log x))), (+ (log (/ (sin x) x)) (log (/ (tan (/ x 2)) x))), (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))), (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x))), (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))), (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))), (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))), (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))), (* (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))), (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))), (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))), (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))), (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))), (* (sin x) (tan (/ x 2))), (* x x), (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))), (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))), (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))), (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))), (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))), (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))), (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))), (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))), (* (/ (sin x) x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))), (* (/ (sin x) x) (sqrt (/ (tan (/ x 2)) x))), (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x)))), (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))), (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)), (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))), (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (sqrt x))), (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) 1)), (* (/ (sin x) x) (/ 1 (* (cbrt x) (cbrt x)))), (* (/ (sin x) x) (/ 1 (sqrt x))), (* (/ (sin x) x) (/ 1 1)), (* (/ (sin x) x) 1), (* (/ (sin x) x) (tan (/ x 2))), (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x)), (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x)), (* (/ (cbrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)), (* (/ (cbrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)), (* (/ (cbrt (sin x)) x) (/ (tan (/ x 2)) x)), (* (/ (sqrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)), (* (/ (sqrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)), (* (/ (sqrt (sin x)) x) (/ (tan (/ x 2)) x)), (* (/ (sin x) (cbrt x)) (/ (tan (/ x 2)) x)), (* (/ (sin x) (sqrt x)) (/ (tan (/ x 2)) x)), (* (/ (sin x) x) (/ (tan (/ x 2)) x)), (* (/ (sin x) x) (/ (tan (/ x 2)) x)), (* (/ 1 x) (/ (tan (/ x 2)) x)), (* (/ (sin x) x) (tan (/ x 2))), (* (sin x) (/ (tan (/ x 2)) x)), (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x))), (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)), (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)), (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)), (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))), (/ (sin x) x), (/ (sin x) x), (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))), (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))), (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
4.508 * * [simplify]: iteration 1: (172 enodes)
4.582 * * [simplify]: iteration 2: (754 enodes)
4.880 * * [simplify]: iteration 3: (1807 enodes)
6.489 * * [simplify]: Extracting #0: cost 107 inf + 0
6.491 * * [simplify]: Extracting #1: cost 638 inf + 1
6.498 * * [simplify]: Extracting #2: cost 1045 inf + 3422
6.527 * * [simplify]: Extracting #3: cost 645 inf + 124961
6.606 * * [simplify]: Extracting #4: cost 82 inf + 304215
6.677 * * [simplify]: Extracting #5: cost 1 inf + 325764
6.737 * * [simplify]: Extracting #6: cost 0 inf + 325566
6.807 * [simplify]: Simplified to (expm1 (/ (tan (/ x 2)) x)), (log1p (/ (tan (/ x 2)) x)), (log (/ (tan (/ x 2)) x)), (log (/ (tan (/ x 2)) x)), (exp (/ (tan (/ x 2)) x)), (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))), (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))), (cbrt (/ (tan (/ x 2)) x)), (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))), (sqrt (/ (tan (/ x 2)) x)), (sqrt (/ (tan (/ x 2)) x)), (- (tan (/ x 2))), (- x), (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (cbrt x))), (/ (cbrt (tan (/ x 2))) (cbrt x)), (/ (cbrt (tan (/ x 2))) (/ (sqrt x) (cbrt (tan (/ x 2))))), (/ (cbrt (tan (/ x 2))) (sqrt x)), (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))), (/ (cbrt (tan (/ x 2))) x), (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))), (/ (sqrt (tan (/ x 2))) (cbrt x)), (/ (sqrt (tan (/ x 2))) (sqrt x)), (/ (sqrt (tan (/ x 2))) (sqrt x)), (sqrt (tan (/ x 2))), (/ (sqrt (tan (/ x 2))) x), (/ (/ 1 (cbrt x)) (cbrt x)), (/ (tan (/ x 2)) (cbrt x)), (/ 1 (sqrt x)), (/ (tan (/ x 2)) (sqrt x)), 1, (/ (tan (/ x 2)) x), (/ 1 x), (/ x (tan (/ x 2))), (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))), (/ (tan (/ x 2)) (sqrt x)), (tan (/ x 2)), (/ x (cbrt (tan (/ x 2)))), (/ x (sqrt (tan (/ x 2)))), (/ x (tan (/ x 2))), (* (cos (/ x 2)) x), (real->posit16 (/ (tan (/ x 2)) x)), (expm1 (/ (sin x) x)), (log1p (/ (sin x) x)), (log (/ (sin x) x)), (log (/ (sin x) x)), (exp (/ (sin x) x)), (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))), (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))), (cbrt (/ (sin x) x)), (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))), (sqrt (/ (sin x) x)), (sqrt (/ (sin x) x)), (- (sin x)), (- x), (* (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (cbrt x))), (/ (cbrt (sin x)) (cbrt x)), (/ (cbrt (sin x)) (/ (sqrt x) (cbrt (sin x)))), (/ (cbrt (sin x)) (sqrt x)), (* (cbrt (sin x)) (cbrt (sin x))), (/ (cbrt (sin x)) x), (/ (/ (sqrt (sin x)) (cbrt x)) (cbrt x)), (/ (sqrt (sin x)) (cbrt x)), (/ (sqrt (sin x)) (sqrt x)), (/ (sqrt (sin x)) (sqrt x)), (sqrt (sin x)), (/ (sqrt (sin x)) x), (/ (/ 1 (cbrt x)) (cbrt x)), (/ (sin x) (cbrt x)), (/ 1 (sqrt x)), (/ (sin x) (sqrt x)), 1, (/ (sin x) x), (/ 1 x), (/ x (sin x)), (/ (sin x) (* (cbrt x) (cbrt x))), (/ (sin x) (sqrt x)), (sin x), (/ x (cbrt (sin x))), (/ x (sqrt (sin x))), (/ x (sin x)), (real->posit16 (/ (sin x) x)), (expm1 (* (tan (/ x 2)) (/ (sin x) (* x x)))), (log1p (* (tan (/ x 2)) (/ (sin x) (* x x)))), (* (tan (/ x 2)) (/ (sin x) (* x x))), (log (* (tan (/ x 2)) (/ (sin x) (* x x)))), (log (* (tan (/ x 2)) (/ (sin x) (* x x)))), (log (* (tan (/ x 2)) (/ (sin x) (* x x)))), (log (* (tan (/ x 2)) (/ (sin x) (* x x)))), (log (* (tan (/ x 2)) (/ (sin x) (* x x)))), (exp (* (tan (/ x 2)) (/ (sin x) (* x x)))), (* (* (* (tan (/ x 2)) (/ (sin x) (* x x))) (* (tan (/ x 2)) (/ (sin x) (* x x)))) (* (tan (/ x 2)) (/ (sin x) (* x x)))), (* (* (* (tan (/ x 2)) (/ (sin x) (* x x))) (* (tan (/ x 2)) (/ (sin x) (* x x)))) (* (tan (/ x 2)) (/ (sin x) (* x x)))), (* (* (* (tan (/ x 2)) (/ (sin x) (* x x))) (* (tan (/ x 2)) (/ (sin x) (* x x)))) (* (tan (/ x 2)) (/ (sin x) (* x x)))), (* (* (* (tan (/ x 2)) (/ (sin x) (* x x))) (* (tan (/ x 2)) (/ (sin x) (* x x)))) (* (tan (/ x 2)) (/ (sin x) (* x x)))), (* (cbrt (* (tan (/ x 2)) (/ (sin x) (* x x)))) (cbrt (* (tan (/ x 2)) (/ (sin x) (* x x))))), (cbrt (* (tan (/ x 2)) (/ (sin x) (* x x)))), (* (* (* (tan (/ x 2)) (/ (sin x) (* x x))) (* (tan (/ x 2)) (/ (sin x) (* x x)))) (* (tan (/ x 2)) (/ (sin x) (* x x)))), (sqrt (* (tan (/ x 2)) (/ (sin x) (* x x)))), (sqrt (* (tan (/ x 2)) (/ (sin x) (* x x)))), (* (tan (/ x 2)) (sin x)), (* x x), (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (sin x) x))), (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (sin x) x))), (/ (sqrt (/ (sin x) x)) (/ (sqrt x) (sqrt (tan (/ x 2))))), (/ (sqrt (/ (sin x) x)) (/ (sqrt x) (sqrt (tan (/ x 2))))), (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))), (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))), (/ (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) (* (sqrt x) (sqrt x))), (/ (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) (* (sqrt x) (sqrt x))), (* (cbrt (/ (tan (/ x 2)) x)) (* (cbrt (/ (tan (/ x 2)) x)) (/ (sin x) x))), (/ (sin x) (/ x (sqrt (/ (tan (/ x 2)) x)))), (/ (/ (sin x) x) (* (/ (cbrt x) (cbrt (tan (/ x 2)))) (/ (cbrt x) (cbrt (tan (/ x 2)))))), (* (/ (sin x) (* x (sqrt x))) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))), (* (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (sin x) x)), (/ (* (sin x) (sqrt (tan (/ x 2)))) (* (* (cbrt x) (cbrt x)) x)), (/ (* (sin x) (sqrt (tan (/ x 2)))) (* (sqrt x) x)), (/ (sin x) (/ x (sqrt (tan (/ x 2))))), (/ (/ (sin x) (* (cbrt x) (cbrt x))) x), (/ (sin x) (* x (sqrt x))), (/ (sin x) x), (/ (sin x) x), (/ (sin x) (/ x (tan (/ x 2)))), (/ (* (cbrt (/ (sin x) x)) (tan (/ x 2))) x), (* (/ (tan (/ x 2)) x) (sqrt (/ (sin x) x))), (/ (* (cbrt (sin x)) (tan (/ x 2))) (* x (cbrt x))), (/ (cbrt (sin x)) (* (/ x (tan (/ x 2))) (sqrt x))), (/ (cbrt (sin x)) (/ x (/ (tan (/ x 2)) x))), (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) (cbrt x))), (/ (sqrt (sin x)) (* (/ x (tan (/ x 2))) (sqrt x))), (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) x)), (/ (sin x) (* (cbrt x) (/ x (tan (/ x 2))))), (/ (/ (* (tan (/ x 2)) (sin x)) (sqrt x)) x), (* (tan (/ x 2)) (/ (sin x) (* x x))), (* (tan (/ x 2)) (/ (sin x) (* x x))), (/ (/ (tan (/ x 2)) x) x), (/ (sin x) (/ x (tan (/ x 2)))), (/ (sin x) (/ x (tan (/ x 2)))), (real->posit16 (* (tan (/ x 2)) (/ (sin x) (* x x)))), (fma 1/24 (* x x) (fma 1/240 (* (* x x) (* x x)) 1/2)), (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))), (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))), (fma (* x x) -1/6 (fma 1/120 (* (* x x) (* x x)) 1)), (/ (sin x) x), (/ (sin x) x), (fma -1/24 (* x x) (fma (* (* x x) (* x x)) 1/720 1/2)), (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (* x x))), (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (* x x)))
6.813 * * * [progress]: adding candidates to table
7.768 * * [progress]: iteration 4 / 4
7.768 * * * [progress]: picking best candidate
7.779 * * * * [pick]: Picked  #<alt (λ (x) (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x)))>
7.779 * * * [progress]: localizing error
7.799 * * * [progress]: generating rewritten candidates
7.799 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
7.815 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1)
7.820 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
7.836 * * * [progress]: generating series expansions
7.836 * * * * [progress]: [ 1 / 3 ] generating series at (2)
7.836 * [backup-simplify]: Simplify (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2))
7.836 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0
7.836 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x
7.837 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
7.837 * [taylor]: Taking taylor expansion of (sin x) in x
7.837 * [taylor]: Taking taylor expansion of x in x
7.837 * [backup-simplify]: Simplify 0 into 0
7.837 * [backup-simplify]: Simplify 1 into 1
7.837 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
7.837 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
7.837 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
7.837 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.837 * [taylor]: Taking taylor expansion of 1/2 in x
7.837 * [backup-simplify]: Simplify 1/2 into 1/2
7.837 * [taylor]: Taking taylor expansion of x in x
7.837 * [backup-simplify]: Simplify 0 into 0
7.837 * [backup-simplify]: Simplify 1 into 1
7.837 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.838 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.838 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
7.838 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.838 * [taylor]: Taking taylor expansion of 1/2 in x
7.838 * [backup-simplify]: Simplify 1/2 into 1/2
7.838 * [taylor]: Taking taylor expansion of x in x
7.838 * [backup-simplify]: Simplify 0 into 0
7.838 * [backup-simplify]: Simplify 1 into 1
7.838 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.843 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.844 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
7.844 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.844 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.844 * [taylor]: Taking taylor expansion of x in x
7.844 * [backup-simplify]: Simplify 0 into 0
7.844 * [backup-simplify]: Simplify 1 into 1
7.844 * [backup-simplify]: Simplify (* 0 1/2) into 0
7.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.845 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.846 * [backup-simplify]: Simplify (+ 0) into 0
7.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.847 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.847 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
7.847 * [backup-simplify]: Simplify (* 1 1) into 1
7.847 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.847 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x
7.847 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x
7.848 * [taylor]: Taking taylor expansion of (sin x) in x
7.848 * [taylor]: Taking taylor expansion of x in x
7.848 * [backup-simplify]: Simplify 0 into 0
7.848 * [backup-simplify]: Simplify 1 into 1
7.848 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
7.848 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
7.848 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
7.848 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.848 * [taylor]: Taking taylor expansion of 1/2 in x
7.848 * [backup-simplify]: Simplify 1/2 into 1/2
7.848 * [taylor]: Taking taylor expansion of x in x
7.848 * [backup-simplify]: Simplify 0 into 0
7.848 * [backup-simplify]: Simplify 1 into 1
7.848 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.849 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.849 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
7.849 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.849 * [taylor]: Taking taylor expansion of 1/2 in x
7.849 * [backup-simplify]: Simplify 1/2 into 1/2
7.849 * [taylor]: Taking taylor expansion of x in x
7.849 * [backup-simplify]: Simplify 0 into 0
7.849 * [backup-simplify]: Simplify 1 into 1
7.849 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.849 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.850 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
7.850 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.850 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.850 * [taylor]: Taking taylor expansion of x in x
7.850 * [backup-simplify]: Simplify 0 into 0
7.850 * [backup-simplify]: Simplify 1 into 1
7.851 * [backup-simplify]: Simplify (* 0 1/2) into 0
7.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.852 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.852 * [backup-simplify]: Simplify (+ 0) into 0
7.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.853 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.853 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
7.854 * [backup-simplify]: Simplify (* 1 1) into 1
7.854 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.854 * [backup-simplify]: Simplify 1/2 into 1/2
7.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.856 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
7.856 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
7.857 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
7.858 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.859 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
7.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.860 * [backup-simplify]: Simplify 0 into 0
7.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.862 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.863 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
7.865 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24
7.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.867 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
7.867 * [backup-simplify]: Simplify -1/24 into -1/24
7.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
7.870 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
7.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.873 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
7.874 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240
7.875 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.876 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0
7.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
7.879 * [backup-simplify]: Simplify 0 into 0
7.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
7.884 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.888 * [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
7.890 * [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
7.893 * [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
7.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720
7.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.898 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
7.898 * [backup-simplify]: Simplify 1/720 into 1/720
7.898 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))
7.899 * [backup-simplify]: Simplify (/ (/ (sin (/ 1 x)) 1) (* (/ (/ 1 x) (tan (/ (/ 1 x) 2))) (/ 1 x))) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x))))
7.899 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0
7.899 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x
7.899 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.899 * [taylor]: Taking taylor expansion of x in x
7.899 * [backup-simplify]: Simplify 0 into 0
7.899 * [backup-simplify]: Simplify 1 into 1
7.899 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x
7.899 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
7.899 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.899 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
7.899 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.899 * [taylor]: Taking taylor expansion of 1/2 in x
7.899 * [backup-simplify]: Simplify 1/2 into 1/2
7.899 * [taylor]: Taking taylor expansion of x in x
7.899 * [backup-simplify]: Simplify 0 into 0
7.899 * [backup-simplify]: Simplify 1 into 1
7.900 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.900 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
7.900 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
7.900 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.900 * [taylor]: Taking taylor expansion of 1/2 in x
7.900 * [backup-simplify]: Simplify 1/2 into 1/2
7.900 * [taylor]: Taking taylor expansion of x in x
7.900 * [backup-simplify]: Simplify 0 into 0
7.900 * [backup-simplify]: Simplify 1 into 1
7.900 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.900 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
7.900 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.900 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.901 * [taylor]: Taking taylor expansion of x in x
7.901 * [backup-simplify]: Simplify 0 into 0
7.901 * [backup-simplify]: Simplify 1 into 1
7.901 * [backup-simplify]: Simplify (/ 1 1) into 1
7.901 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.901 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x
7.901 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.901 * [taylor]: Taking taylor expansion of x in x
7.901 * [backup-simplify]: Simplify 0 into 0
7.901 * [backup-simplify]: Simplify 1 into 1
7.901 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x
7.901 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
7.901 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.901 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
7.901 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.901 * [taylor]: Taking taylor expansion of 1/2 in x
7.901 * [backup-simplify]: Simplify 1/2 into 1/2
7.901 * [taylor]: Taking taylor expansion of x in x
7.901 * [backup-simplify]: Simplify 0 into 0
7.901 * [backup-simplify]: Simplify 1 into 1
7.902 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.902 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
7.902 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
7.902 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.902 * [taylor]: Taking taylor expansion of 1/2 in x
7.902 * [backup-simplify]: Simplify 1/2 into 1/2
7.902 * [taylor]: Taking taylor expansion of x in x
7.902 * [backup-simplify]: Simplify 0 into 0
7.902 * [backup-simplify]: Simplify 1 into 1
7.902 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.903 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
7.903 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
7.903 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.903 * [taylor]: Taking taylor expansion of x in x
7.903 * [backup-simplify]: Simplify 0 into 0
7.903 * [backup-simplify]: Simplify 1 into 1
7.903 * [backup-simplify]: Simplify (/ 1 1) into 1
7.903 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.904 * [backup-simplify]: Simplify (* 1 1) into 1
7.904 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
7.904 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
7.904 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
7.905 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
7.905 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
7.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0
7.906 * [backup-simplify]: Simplify 0 into 0
7.907 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.907 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
7.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
7.909 * [backup-simplify]: Simplify 0 into 0
7.909 * [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)))))) into 0
7.910 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
7.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0
7.913 * [backup-simplify]: Simplify 0 into 0
7.913 * [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)))))) into 0
7.914 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
7.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0
7.917 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.919 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
7.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0
7.923 * [backup-simplify]: Simplify 0 into 0
7.924 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
7.926 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
7.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
7.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0
7.929 * [backup-simplify]: Simplify 0 into 0
7.930 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
7.930 * [backup-simplify]: Simplify (/ (/ (sin (/ 1 (- x))) 1) (* (/ (/ 1 (- x)) (tan (/ (/ 1 (- x)) 2))) (/ 1 (- x)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x))))
7.930 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0
7.930 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
7.930 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.930 * [taylor]: Taking taylor expansion of x in x
7.930 * [backup-simplify]: Simplify 0 into 0
7.930 * [backup-simplify]: Simplify 1 into 1
7.930 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
7.930 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
7.930 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
7.930 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
7.930 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
7.930 * [taylor]: Taking taylor expansion of -1/2 in x
7.931 * [backup-simplify]: Simplify -1/2 into -1/2
7.931 * [taylor]: Taking taylor expansion of x in x
7.931 * [backup-simplify]: Simplify 0 into 0
7.931 * [backup-simplify]: Simplify 1 into 1
7.931 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.931 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
7.931 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
7.931 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
7.931 * [taylor]: Taking taylor expansion of -1/2 in x
7.931 * [backup-simplify]: Simplify -1/2 into -1/2
7.931 * [taylor]: Taking taylor expansion of x in x
7.931 * [backup-simplify]: Simplify 0 into 0
7.931 * [backup-simplify]: Simplify 1 into 1
7.932 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.932 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
7.932 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
7.932 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.932 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.932 * [taylor]: Taking taylor expansion of -1 in x
7.932 * [backup-simplify]: Simplify -1 into -1
7.932 * [taylor]: Taking taylor expansion of x in x
7.932 * [backup-simplify]: Simplify 0 into 0
7.932 * [backup-simplify]: Simplify 1 into 1
7.933 * [backup-simplify]: Simplify (/ -1 1) into -1
7.933 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.933 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x
7.933 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.933 * [taylor]: Taking taylor expansion of x in x
7.933 * [backup-simplify]: Simplify 0 into 0
7.933 * [backup-simplify]: Simplify 1 into 1
7.933 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x
7.933 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
7.933 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
7.933 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
7.933 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
7.933 * [taylor]: Taking taylor expansion of -1/2 in x
7.933 * [backup-simplify]: Simplify -1/2 into -1/2
7.933 * [taylor]: Taking taylor expansion of x in x
7.933 * [backup-simplify]: Simplify 0 into 0
7.933 * [backup-simplify]: Simplify 1 into 1
7.933 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.934 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
7.934 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
7.934 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
7.934 * [taylor]: Taking taylor expansion of -1/2 in x
7.934 * [backup-simplify]: Simplify -1/2 into -1/2
7.934 * [taylor]: Taking taylor expansion of x in x
7.934 * [backup-simplify]: Simplify 0 into 0
7.934 * [backup-simplify]: Simplify 1 into 1
7.934 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.934 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
7.934 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
7.934 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.934 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.934 * [taylor]: Taking taylor expansion of -1 in x
7.934 * [backup-simplify]: Simplify -1 into -1
7.934 * [taylor]: Taking taylor expansion of x in x
7.934 * [backup-simplify]: Simplify 0 into 0
7.934 * [backup-simplify]: Simplify 1 into 1
7.935 * [backup-simplify]: Simplify (/ -1 1) into -1
7.935 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.935 * [backup-simplify]: Simplify (* 1 1) into 1
7.936 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
7.936 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
7.936 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
7.936 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
7.936 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
7.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0
7.938 * [backup-simplify]: Simplify 0 into 0
7.938 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.939 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
7.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
7.941 * [backup-simplify]: Simplify 0 into 0
7.941 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.942 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
7.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0
7.945 * [backup-simplify]: Simplify 0 into 0
7.945 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.946 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
7.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0
7.950 * [backup-simplify]: Simplify 0 into 0
7.950 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.952 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
7.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0
7.955 * [backup-simplify]: Simplify 0 into 0
7.956 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
7.958 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
7.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
7.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0
7.967 * [backup-simplify]: Simplify 0 into 0
7.968 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
7.968 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1)
7.968 * [backup-simplify]: Simplify (/ x (tan (/ x 2))) into (/ x (tan (* 1/2 x)))
7.968 * [approximate]: Taking taylor expansion of (/ x (tan (* 1/2 x))) in (x) around 0
7.968 * [taylor]: Taking taylor expansion of (/ x (tan (* 1/2 x))) in x
7.968 * [taylor]: Taking taylor expansion of x in x
7.968 * [backup-simplify]: Simplify 0 into 0
7.968 * [backup-simplify]: Simplify 1 into 1
7.968 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
7.968 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
7.968 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
7.968 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.968 * [taylor]: Taking taylor expansion of 1/2 in x
7.968 * [backup-simplify]: Simplify 1/2 into 1/2
7.968 * [taylor]: Taking taylor expansion of x in x
7.968 * [backup-simplify]: Simplify 0 into 0
7.968 * [backup-simplify]: Simplify 1 into 1
7.969 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.970 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.970 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
7.970 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.970 * [taylor]: Taking taylor expansion of 1/2 in x
7.970 * [backup-simplify]: Simplify 1/2 into 1/2
7.970 * [taylor]: Taking taylor expansion of x in x
7.970 * [backup-simplify]: Simplify 0 into 0
7.970 * [backup-simplify]: Simplify 1 into 1
7.970 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.971 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.972 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
7.972 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.973 * [backup-simplify]: Simplify (/ 1 1/2) into 2
7.973 * [taylor]: Taking taylor expansion of (/ x (tan (* 1/2 x))) in x
7.973 * [taylor]: Taking taylor expansion of x in x
7.973 * [backup-simplify]: Simplify 0 into 0
7.973 * [backup-simplify]: Simplify 1 into 1
7.973 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
7.973 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
7.973 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
7.973 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.973 * [taylor]: Taking taylor expansion of 1/2 in x
7.973 * [backup-simplify]: Simplify 1/2 into 1/2
7.973 * [taylor]: Taking taylor expansion of x in x
7.973 * [backup-simplify]: Simplify 0 into 0
7.973 * [backup-simplify]: Simplify 1 into 1
7.974 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.974 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.974 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
7.974 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.974 * [taylor]: Taking taylor expansion of 1/2 in x
7.974 * [backup-simplify]: Simplify 1/2 into 1/2
7.974 * [taylor]: Taking taylor expansion of x in x
7.974 * [backup-simplify]: Simplify 0 into 0
7.974 * [backup-simplify]: Simplify 1 into 1
7.975 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.976 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.976 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
7.977 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.977 * [backup-simplify]: Simplify (/ 1 1/2) into 2
7.979 * [backup-simplify]: Simplify 2 into 2
7.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.982 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.982 * [backup-simplify]: Simplify (+ 0) into 0
7.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.985 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)))) into 0
7.985 * [backup-simplify]: Simplify 0 into 0
7.986 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.987 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
7.988 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
7.990 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
7.991 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 1/24 1/2)) (* 0 (/ 0 1/2)))) into -1/6
7.991 * [backup-simplify]: Simplify -1/6 into -1/6
7.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.994 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.997 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
8.000 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)) (* 0 (/ 1/24 1/2)) (* -1/6 (/ 0 1/2)))) into 0
8.000 * [backup-simplify]: Simplify 0 into 0
8.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
8.005 * [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
8.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
8.009 * [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
8.012 * [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
8.014 * [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
8.014 * [backup-simplify]: Simplify -1/360 into -1/360
8.015 * [backup-simplify]: Simplify (+ (* -1/360 (pow x 4)) (+ (* -1/6 (pow x 2)) 2)) into (- 2 (+ (* 1/6 (pow x 2)) (* 1/360 (pow x 4))))
8.015 * [backup-simplify]: Simplify (/ (/ 1 x) (tan (/ (/ 1 x) 2))) into (/ 1 (* x (tan (/ 1/2 x))))
8.015 * [approximate]: Taking taylor expansion of (/ 1 (* x (tan (/ 1/2 x)))) in (x) around 0
8.015 * [taylor]: Taking taylor expansion of (/ 1 (* x (tan (/ 1/2 x)))) in x
8.015 * [taylor]: Taking taylor expansion of (* x (tan (/ 1/2 x))) in x
8.015 * [taylor]: Taking taylor expansion of x in x
8.015 * [backup-simplify]: Simplify 0 into 0
8.015 * [backup-simplify]: Simplify 1 into 1
8.015 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
8.015 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
8.015 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
8.015 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
8.015 * [taylor]: Taking taylor expansion of 1/2 in x
8.015 * [backup-simplify]: Simplify 1/2 into 1/2
8.015 * [taylor]: Taking taylor expansion of x in x
8.015 * [backup-simplify]: Simplify 0 into 0
8.015 * [backup-simplify]: Simplify 1 into 1
8.016 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.016 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
8.016 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
8.016 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
8.016 * [taylor]: Taking taylor expansion of 1/2 in x
8.016 * [backup-simplify]: Simplify 1/2 into 1/2
8.016 * [taylor]: Taking taylor expansion of x in x
8.016 * [backup-simplify]: Simplify 0 into 0
8.016 * [backup-simplify]: Simplify 1 into 1
8.017 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.017 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
8.017 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
8.017 * [backup-simplify]: Simplify (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into 0
8.017 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
8.018 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
8.018 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x)))
8.018 * [taylor]: Taking taylor expansion of (/ 1 (* x (tan (/ 1/2 x)))) in x
8.018 * [taylor]: Taking taylor expansion of (* x (tan (/ 1/2 x))) in x
8.018 * [taylor]: Taking taylor expansion of x in x
8.018 * [backup-simplify]: Simplify 0 into 0
8.018 * [backup-simplify]: Simplify 1 into 1
8.018 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
8.018 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
8.018 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
8.018 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
8.018 * [taylor]: Taking taylor expansion of 1/2 in x
8.018 * [backup-simplify]: Simplify 1/2 into 1/2
8.018 * [taylor]: Taking taylor expansion of x in x
8.018 * [backup-simplify]: Simplify 0 into 0
8.018 * [backup-simplify]: Simplify 1 into 1
8.019 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.019 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
8.019 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
8.019 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
8.019 * [taylor]: Taking taylor expansion of 1/2 in x
8.019 * [backup-simplify]: Simplify 1/2 into 1/2
8.019 * [taylor]: Taking taylor expansion of x in x
8.019 * [backup-simplify]: Simplify 0 into 0
8.019 * [backup-simplify]: Simplify 1 into 1
8.019 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.020 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
8.020 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
8.020 * [backup-simplify]: Simplify (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into 0
8.020 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
8.021 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
8.021 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x)))
8.021 * [backup-simplify]: Simplify (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x)))
8.022 * [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
8.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0
8.023 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
8.023 * [backup-simplify]: Simplify 0 into 0
8.023 * [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
8.024 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
8.025 * [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
8.025 * [backup-simplify]: Simplify 0 into 0
8.025 * [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
8.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0
8.027 * [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
8.027 * [backup-simplify]: Simplify 0 into 0
8.028 * [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
8.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0
8.030 * [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
8.030 * [backup-simplify]: Simplify 0 into 0
8.031 * [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
8.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0
8.034 * [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
8.034 * [backup-simplify]: Simplify 0 into 0
8.035 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 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
8.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))))) into 0
8.039 * [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
8.039 * [backup-simplify]: Simplify 0 into 0
8.039 * [backup-simplify]: Simplify (* (/ (cos (/ 1/2 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (/ 1 (/ 1 x))) into (/ (* (cos (* 1/2 x)) x) (sin (* 1/2 x)))
8.039 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (tan (/ (/ 1 (- x)) 2))) into (/ -1 (* x (tan (/ -1/2 x))))
8.039 * [approximate]: Taking taylor expansion of (/ -1 (* x (tan (/ -1/2 x)))) in (x) around 0
8.039 * [taylor]: Taking taylor expansion of (/ -1 (* x (tan (/ -1/2 x)))) in x
8.039 * [taylor]: Taking taylor expansion of -1 in x
8.039 * [backup-simplify]: Simplify -1 into -1
8.039 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x
8.039 * [taylor]: Taking taylor expansion of x in x
8.039 * [backup-simplify]: Simplify 0 into 0
8.039 * [backup-simplify]: Simplify 1 into 1
8.039 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
8.039 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
8.039 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
8.039 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
8.039 * [taylor]: Taking taylor expansion of -1/2 in x
8.039 * [backup-simplify]: Simplify -1/2 into -1/2
8.040 * [taylor]: Taking taylor expansion of x in x
8.040 * [backup-simplify]: Simplify 0 into 0
8.040 * [backup-simplify]: Simplify 1 into 1
8.040 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
8.040 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
8.040 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
8.040 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
8.040 * [taylor]: Taking taylor expansion of -1/2 in x
8.040 * [backup-simplify]: Simplify -1/2 into -1/2
8.040 * [taylor]: Taking taylor expansion of x in x
8.040 * [backup-simplify]: Simplify 0 into 0
8.040 * [backup-simplify]: Simplify 1 into 1
8.041 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
8.041 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
8.041 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
8.041 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0
8.041 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
8.042 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
8.042 * [backup-simplify]: Simplify (/ -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (* -1 (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))))
8.042 * [taylor]: Taking taylor expansion of (/ -1 (* x (tan (/ -1/2 x)))) in x
8.042 * [taylor]: Taking taylor expansion of -1 in x
8.042 * [backup-simplify]: Simplify -1 into -1
8.042 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x
8.042 * [taylor]: Taking taylor expansion of x in x
8.042 * [backup-simplify]: Simplify 0 into 0
8.042 * [backup-simplify]: Simplify 1 into 1
8.042 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
8.042 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
8.042 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
8.042 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
8.042 * [taylor]: Taking taylor expansion of -1/2 in x
8.042 * [backup-simplify]: Simplify -1/2 into -1/2
8.042 * [taylor]: Taking taylor expansion of x in x
8.042 * [backup-simplify]: Simplify 0 into 0
8.042 * [backup-simplify]: Simplify 1 into 1
8.043 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
8.043 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
8.043 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
8.043 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
8.043 * [taylor]: Taking taylor expansion of -1/2 in x
8.043 * [backup-simplify]: Simplify -1/2 into -1/2
8.043 * [taylor]: Taking taylor expansion of x in x
8.043 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify 1 into 1
8.043 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
8.044 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
8.044 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
8.044 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0
8.044 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
8.045 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
8.045 * [backup-simplify]: Simplify (/ -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (* -1 (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))))
8.045 * [backup-simplify]: Simplify (* -1 (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))) into (* -1 (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))))
8.045 * [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
8.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0
8.047 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (+ (* (* -1 (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
8.047 * [backup-simplify]: Simplify 0 into 0
8.047 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
8.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
8.049 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (+ (* (* -1 (/ (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
8.049 * [backup-simplify]: Simplify 0 into 0
8.049 * [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
8.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0
8.052 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (+ (* (* -1 (/ (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
8.052 * [backup-simplify]: Simplify 0 into 0
8.052 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
8.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0
8.055 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (+ (* (* -1 (/ (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
8.055 * [backup-simplify]: Simplify 0 into 0
8.055 * [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
8.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0
8.059 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (+ (* (* -1 (/ (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
8.059 * [backup-simplify]: Simplify 0 into 0
8.059 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
8.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0
8.063 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (+ (* (* -1 (/ (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
8.063 * [backup-simplify]: Simplify 0 into 0
8.063 * [backup-simplify]: Simplify (* (* -1 (/ (cos (/ -1/2 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x)))))) (/ 1 (/ 1 (- x)))) into (/ (* (cos (* 1/2 x)) x) (sin (* 1/2 x)))
8.063 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
8.063 * [backup-simplify]: Simplify (* (/ x (tan (/ x 2))) x) into (/ (pow x 2) (tan (* 1/2 x)))
8.063 * [approximate]: Taking taylor expansion of (/ (pow x 2) (tan (* 1/2 x))) in (x) around 0
8.063 * [taylor]: Taking taylor expansion of (/ (pow x 2) (tan (* 1/2 x))) in x
8.063 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.063 * [taylor]: Taking taylor expansion of x in x
8.063 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify 1 into 1
8.064 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
8.064 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
8.064 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
8.064 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
8.064 * [taylor]: Taking taylor expansion of 1/2 in x
8.064 * [backup-simplify]: Simplify 1/2 into 1/2
8.064 * [taylor]: Taking taylor expansion of x in x
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify 1 into 1
8.064 * [backup-simplify]: Simplify (* 1/2 0) into 0
8.065 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
8.065 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
8.065 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
8.065 * [taylor]: Taking taylor expansion of 1/2 in x
8.065 * [backup-simplify]: Simplify 1/2 into 1/2
8.065 * [taylor]: Taking taylor expansion of x in x
8.065 * [backup-simplify]: Simplify 0 into 0
8.065 * [backup-simplify]: Simplify 1 into 1
8.066 * [backup-simplify]: Simplify (* 1/2 0) into 0
8.066 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
8.067 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
8.067 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.068 * [backup-simplify]: Simplify (* 1 1) into 1
8.068 * [backup-simplify]: Simplify (/ 1 1/2) into 2
8.068 * [taylor]: Taking taylor expansion of (/ (pow x 2) (tan (* 1/2 x))) in x
8.068 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.068 * [taylor]: Taking taylor expansion of x in x
8.068 * [backup-simplify]: Simplify 0 into 0
8.068 * [backup-simplify]: Simplify 1 into 1
8.068 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x
8.068 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x)))
8.068 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x
8.068 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
8.068 * [taylor]: Taking taylor expansion of 1/2 in x
8.069 * [backup-simplify]: Simplify 1/2 into 1/2
8.069 * [taylor]: Taking taylor expansion of x in x
8.069 * [backup-simplify]: Simplify 0 into 0
8.069 * [backup-simplify]: Simplify 1 into 1
8.069 * [backup-simplify]: Simplify (* 1/2 0) into 0
8.070 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
8.070 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x
8.070 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
8.070 * [taylor]: Taking taylor expansion of 1/2 in x
8.070 * [backup-simplify]: Simplify 1/2 into 1/2
8.070 * [taylor]: Taking taylor expansion of x in x
8.070 * [backup-simplify]: Simplify 0 into 0
8.070 * [backup-simplify]: Simplify 1 into 1
8.070 * [backup-simplify]: Simplify (* 1/2 0) into 0
8.071 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
8.072 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
8.072 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.073 * [backup-simplify]: Simplify (* 1 1) into 1
8.073 * [backup-simplify]: Simplify (/ 1 1/2) into 2
8.073 * [backup-simplify]: Simplify 2 into 2
8.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
8.075 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.076 * [backup-simplify]: Simplify (+ 0) into 0
8.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.077 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)))) into 0
8.077 * [backup-simplify]: Simplify 0 into 0
8.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
8.081 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
8.082 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
8.084 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24
8.085 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 1/24 1/2)) (* 0 (/ 0 1/2)))) into -1/6
8.085 * [backup-simplify]: Simplify -1/6 into -1/6
8.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
8.089 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
8.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
8.091 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0
8.094 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)) (* 0 (/ 1/24 1/2)) (* -1/6 (/ 0 1/2)))) into 0
8.094 * [backup-simplify]: Simplify 0 into 0
8.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
8.100 * [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
8.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
8.104 * [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
8.111 * [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
8.113 * [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
8.113 * [backup-simplify]: Simplify -1/360 into -1/360
8.113 * [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))))
8.114 * [backup-simplify]: Simplify (* (/ (/ 1 x) (tan (/ (/ 1 x) 2))) (/ 1 x)) into (/ 1 (* (pow x 2) (tan (/ 1/2 x))))
8.114 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ 1/2 x)))) in (x) around 0
8.114 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ 1/2 x)))) in x
8.114 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ 1/2 x))) in x
8.114 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.114 * [taylor]: Taking taylor expansion of x in x
8.114 * [backup-simplify]: Simplify 0 into 0
8.114 * [backup-simplify]: Simplify 1 into 1
8.114 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
8.114 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
8.114 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
8.114 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
8.114 * [taylor]: Taking taylor expansion of 1/2 in x
8.114 * [backup-simplify]: Simplify 1/2 into 1/2
8.114 * [taylor]: Taking taylor expansion of x in x
8.114 * [backup-simplify]: Simplify 0 into 0
8.114 * [backup-simplify]: Simplify 1 into 1
8.115 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.115 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
8.115 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
8.115 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
8.115 * [taylor]: Taking taylor expansion of 1/2 in x
8.115 * [backup-simplify]: Simplify 1/2 into 1/2
8.115 * [taylor]: Taking taylor expansion of x in x
8.115 * [backup-simplify]: Simplify 0 into 0
8.115 * [backup-simplify]: Simplify 1 into 1
8.115 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.115 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
8.115 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
8.116 * [backup-simplify]: Simplify (* 1 1) into 1
8.116 * [backup-simplify]: Simplify (* 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
8.116 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x)))
8.116 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ 1/2 x)))) in x
8.116 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ 1/2 x))) in x
8.116 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.116 * [taylor]: Taking taylor expansion of x in x
8.116 * [backup-simplify]: Simplify 0 into 0
8.116 * [backup-simplify]: Simplify 1 into 1
8.116 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x
8.116 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
8.116 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x
8.116 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
8.116 * [taylor]: Taking taylor expansion of 1/2 in x
8.116 * [backup-simplify]: Simplify 1/2 into 1/2
8.116 * [taylor]: Taking taylor expansion of x in x
8.116 * [backup-simplify]: Simplify 0 into 0
8.117 * [backup-simplify]: Simplify 1 into 1
8.117 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.117 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x))
8.117 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x
8.117 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
8.117 * [taylor]: Taking taylor expansion of 1/2 in x
8.117 * [backup-simplify]: Simplify 1/2 into 1/2
8.117 * [taylor]: Taking taylor expansion of x in x
8.117 * [backup-simplify]: Simplify 0 into 0
8.117 * [backup-simplify]: Simplify 1 into 1
8.118 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.118 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x))
8.118 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
8.118 * [backup-simplify]: Simplify (* 1 1) into 1
8.118 * [backup-simplify]: Simplify (* 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
8.118 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x)))
8.119 * [backup-simplify]: Simplify (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x)))
8.119 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
8.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0
8.120 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
8.120 * [backup-simplify]: Simplify 0 into 0
8.121 * [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
8.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0
8.123 * [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
8.123 * [backup-simplify]: Simplify 0 into 0
8.123 * [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
8.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
8.126 * [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
8.126 * [backup-simplify]: Simplify 0 into 0
8.126 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
8.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0
8.130 * [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
8.130 * [backup-simplify]: Simplify 0 into 0
8.130 * [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
8.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
8.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0
8.134 * [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
8.134 * [backup-simplify]: Simplify 0 into 0
8.135 * [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
8.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
8.138 * [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
8.139 * [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
8.139 * [backup-simplify]: Simplify 0 into 0
8.139 * [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)))
8.140 * [backup-simplify]: Simplify (* (/ (/ 1 (- x)) (tan (/ (/ 1 (- x)) 2))) (/ 1 (- x))) into (/ 1 (* (pow x 2) (tan (/ -1/2 x))))
8.140 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ -1/2 x)))) in (x) around 0
8.140 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ -1/2 x)))) in x
8.140 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ -1/2 x))) in x
8.140 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.140 * [taylor]: Taking taylor expansion of x in x
8.140 * [backup-simplify]: Simplify 0 into 0
8.140 * [backup-simplify]: Simplify 1 into 1
8.140 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
8.140 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
8.140 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
8.140 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
8.140 * [taylor]: Taking taylor expansion of -1/2 in x
8.140 * [backup-simplify]: Simplify -1/2 into -1/2
8.140 * [taylor]: Taking taylor expansion of x in x
8.140 * [backup-simplify]: Simplify 0 into 0
8.140 * [backup-simplify]: Simplify 1 into 1
8.141 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
8.141 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
8.141 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
8.141 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
8.141 * [taylor]: Taking taylor expansion of -1/2 in x
8.141 * [backup-simplify]: Simplify -1/2 into -1/2
8.141 * [taylor]: Taking taylor expansion of x in x
8.141 * [backup-simplify]: Simplify 0 into 0
8.141 * [backup-simplify]: Simplify 1 into 1
8.141 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
8.141 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
8.141 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
8.142 * [backup-simplify]: Simplify (* 1 1) into 1
8.142 * [backup-simplify]: Simplify (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
8.142 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))
8.142 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ -1/2 x)))) in x
8.142 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ -1/2 x))) in x
8.142 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.142 * [taylor]: Taking taylor expansion of x in x
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * [backup-simplify]: Simplify 1 into 1
8.142 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x
8.142 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
8.142 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x
8.142 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
8.142 * [taylor]: Taking taylor expansion of -1/2 in x
8.142 * [backup-simplify]: Simplify -1/2 into -1/2
8.142 * [taylor]: Taking taylor expansion of x in x
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * [backup-simplify]: Simplify 1 into 1
8.143 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
8.143 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x))
8.143 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x
8.143 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
8.143 * [taylor]: Taking taylor expansion of -1/2 in x
8.143 * [backup-simplify]: Simplify -1/2 into -1/2
8.143 * [taylor]: Taking taylor expansion of x in x
8.143 * [backup-simplify]: Simplify 0 into 0
8.143 * [backup-simplify]: Simplify 1 into 1
8.144 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
8.144 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x))
8.144 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
8.144 * [backup-simplify]: Simplify (* 1 1) into 1
8.144 * [backup-simplify]: Simplify (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
8.144 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))
8.145 * [backup-simplify]: Simplify (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) into (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))
8.145 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
8.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0
8.146 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
8.146 * [backup-simplify]: Simplify 0 into 0
8.147 * [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
8.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0
8.149 * [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
8.149 * [backup-simplify]: Simplify 0 into 0
8.149 * [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
8.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
8.152 * [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
8.152 * [backup-simplify]: Simplify 0 into 0
8.152 * [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
8.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0
8.155 * [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
8.155 * [backup-simplify]: Simplify 0 into 0
8.156 * [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
8.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
8.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0
8.160 * [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
8.160 * [backup-simplify]: Simplify 0 into 0
8.160 * [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
8.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
8.164 * [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
8.165 * [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
8.165 * [backup-simplify]: Simplify 0 into 0
8.165 * [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)))
8.165 * * * [progress]: simplifying candidates
8.165 * * * * [progress]: [ 1 / 133 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x)))))>
8.166 * * * * [progress]: [ 2 / 133 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x)))))>
8.166 * * * * [progress]: [ 3 / 133 ] simplifiying candidate #<alt (λ (x) (pow (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x)) 1))>
8.166 * * * * [progress]: [ 4 / 133 ] simplifiying candidate #<alt (λ (x) (exp (- (- (log (sin x)) 0) (+ (- (log x) (log (tan (/ x 2)))) (log x)))))>
8.166 * * * * [progress]: [ 5 / 133 ] simplifiying candidate #<alt (λ (x) (exp (- (- (log (sin x)) 0) (+ (log (/ x (tan (/ x 2)))) (log x)))))>
8.166 * * * * [progress]: [ 6 / 133 ] simplifiying candidate #<alt (λ (x) (exp (- (- (log (sin x)) 0) (log (* (/ x (tan (/ x 2))) x)))))>
8.166 * * * * [progress]: [ 7 / 133 ] simplifiying candidate #<alt (λ (x) (exp (- (- (log (sin x)) (log 1)) (+ (- (log x) (log (tan (/ x 2)))) (log x)))))>
8.166 * * * * [progress]: [ 8 / 133 ] simplifiying candidate #<alt (λ (x) (exp (- (- (log (sin x)) (log 1)) (+ (log (/ x (tan (/ x 2)))) (log x)))))>
8.166 * * * * [progress]: [ 9 / 133 ] simplifiying candidate #<alt (λ (x) (exp (- (- (log (sin x)) (log 1)) (log (* (/ x (tan (/ x 2))) x)))))>
8.166 * * * * [progress]: [ 10 / 133 ] simplifiying candidate #<alt (λ (x) (exp (- (log (/ (sin x) 1)) (+ (- (log x) (log (tan (/ x 2)))) (log x)))))>
8.166 * * * * [progress]: [ 11 / 133 ] simplifiying candidate #<alt (λ (x) (exp (- (log (/ (sin x) 1)) (+ (log (/ x (tan (/ x 2)))) (log x)))))>
8.166 * * * * [progress]: [ 12 / 133 ] simplifiying candidate #<alt (λ (x) (exp (- (log (/ (sin x) 1)) (log (* (/ x (tan (/ x 2))) x)))))>
8.166 * * * * [progress]: [ 13 / 133 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x)))))>
8.166 * * * * [progress]: [ 14 / 133 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x)))))>
8.166 * * * * [progress]: [ 15 / 133 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (/ (* (* (sin x) (sin x)) (sin x)) (* (* 1 1) 1)) (* (/ (* (* x x) x) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* x x) x)))))>
8.166 * * * * [progress]: [ 16 / 133 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (/ (* (* (sin x) (sin x)) (sin x)) (* (* 1 1) 1)) (* (* (* (/ x (tan (/ x 2))) (/ x (tan (/ x 2)))) (/ x (tan (/ x 2)))) (* (* x x) x)))))>
8.167 * * * * [progress]: [ 17 / 133 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (/ (* (* (sin x) (sin x)) (sin x)) (* (* 1 1) 1)) (* (* (* (/ x (tan (/ x 2))) x) (* (/ x (tan (/ x 2))) x)) (* (/ x (tan (/ x 2))) x)))))>
8.167 * * * * [progress]: [ 18 / 133 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (/ (sin x) 1) (/ (sin x) 1)) (/ (sin x) 1)) (* (/ (* (* x x) x) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* x x) x)))))>
8.167 * * * * [progress]: [ 19 / 133 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (/ (sin x) 1) (/ (sin x) 1)) (/ (sin x) 1)) (* (* (* (/ x (tan (/ x 2))) (/ x (tan (/ x 2)))) (/ x (tan (/ x 2)))) (* (* x x) x)))))>
8.167 * * * * [progress]: [ 20 / 133 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (/ (sin x) 1) (/ (sin x) 1)) (/ (sin x) 1)) (* (* (* (/ x (tan (/ x 2))) x) (* (/ x (tan (/ x 2))) x)) (* (/ x (tan (/ x 2))) x)))))>
8.167 * * * * [progress]: [ 21 / 133 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x))) (cbrt (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x)))) (cbrt (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x)))))>
8.167 * * * * [progress]: [ 22 / 133 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x)) (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x))) (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x)))))>
8.167 * * * * [progress]: [ 23 / 133 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x))) (sqrt (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x)))))>
8.167 * * * * [progress]: [ 24 / 133 ] simplifiying candidate #<alt (λ (x) (/ (- (/ (sin x) 1)) (- (* (/ x (tan (/ x 2))) x))))>
8.167 * * * * [progress]: [ 25 / 133 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (/ (sin x) 1)) (cbrt (/ (sin x) 1))) (/ x (tan (/ x 2)))) (/ (cbrt (/ (sin x) 1)) x)))>
8.167 * * * * [progress]: [ 26 / 133 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (/ (sin x) 1)) (/ x (tan (/ x 2)))) (/ (sqrt (/ (sin x) 1)) x)))>
8.167 * * * * [progress]: [ 27 / 133 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 1) (cbrt 1))) (/ x (tan (/ x 2)))) (/ (/ (cbrt (sin x)) (cbrt 1)) x)))>
8.167 * * * * [progress]: [ 28 / 133 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt 1)) (/ x (tan (/ x 2)))) (/ (/ (cbrt (sin x)) (sqrt 1)) x)))>
8.167 * * * * [progress]: [ 29 / 133 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ x (tan (/ x 2)))) (/ (/ (cbrt (sin x)) 1) x)))>
8.167 * * * * [progress]: [ 30 / 133 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sqrt (sin x)) (* (cbrt 1) (cbrt 1))) (/ x (tan (/ x 2)))) (/ (/ (sqrt (sin x)) (cbrt 1)) x)))>
8.167 * * * * [progress]: [ 31 / 133 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sqrt (sin x)) (sqrt 1)) (/ x (tan (/ x 2)))) (/ (/ (sqrt (sin x)) (sqrt 1)) x)))>
8.167 * * * * [progress]: [ 32 / 133 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sqrt (sin x)) 1) (/ x (tan (/ x 2)))) (/ (/ (sqrt (sin x)) 1) x)))>
8.168 * * * * [progress]: [ 33 / 133 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 1 (* (cbrt 1) (cbrt 1))) (/ x (tan (/ x 2)))) (/ (/ (sin x) (cbrt 1)) x)))>
8.168 * * * * [progress]: [ 34 / 133 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 1 (sqrt 1)) (/ x (tan (/ x 2)))) (/ (/ (sin x) (sqrt 1)) x)))>
8.168 * * * * [progress]: [ 35 / 133 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 1 1) (/ x (tan (/ x 2)))) (/ (/ (sin x) 1) x)))>
8.168 * * * * [progress]: [ 36 / 133 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (/ x (tan (/ x 2)))) (/ (/ (sin x) 1) x)))>
8.168 * * * * [progress]: [ 37 / 133 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) (/ x (tan (/ x 2)))) (/ (/ 1 1) x)))>
8.168 * * * * [progress]: [ 38 / 133 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x))))>
8.168 * * * * [progress]: [ 39 / 133 ] simplifiying candidate #<alt (λ (x) (* (/ (sin x) 1) (/ 1 (* (/ x (tan (/ x 2))) x))))>
8.168 * * * * [progress]: [ 40 / 133 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* (/ x (tan (/ x 2))) x) (/ (sin x) 1))))>
8.168 * * * * [progress]: [ 41 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ (sin x) 1) (/ x (tan (/ x 2)))) x))>
8.168 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #<alt (λ (x) (/ (* (cbrt (/ (sin x) 1)) (cbrt (/ (sin x) 1))) (/ (* (/ x (tan (/ x 2))) x) (cbrt (/ (sin x) 1)))))>
8.168 * * * * [progress]: [ 43 / 133 ] simplifiying candidate #<alt (λ (x) (/ (sqrt (/ (sin x) 1)) (/ (* (/ x (tan (/ x 2))) x) (sqrt (/ (sin x) 1)))))>
8.168 * * * * [progress]: [ 44 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 1) (cbrt 1))) (/ (* (/ x (tan (/ x 2))) x) (/ (cbrt (sin x)) (cbrt 1)))))>
8.168 * * * * [progress]: [ 45 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt 1)) (/ (* (/ x (tan (/ x 2))) x) (/ (cbrt (sin x)) (sqrt 1)))))>
8.168 * * * * [progress]: [ 46 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (* (/ x (tan (/ x 2))) x) (/ (cbrt (sin x)) 1))))>
8.168 * * * * [progress]: [ 47 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sqrt (sin x)) (* (cbrt 1) (cbrt 1))) (/ (* (/ x (tan (/ x 2))) x) (/ (sqrt (sin x)) (cbrt 1)))))>
8.168 * * * * [progress]: [ 48 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sqrt (sin x)) (sqrt 1)) (/ (* (/ x (tan (/ x 2))) x) (/ (sqrt (sin x)) (sqrt 1)))))>
8.168 * * * * [progress]: [ 49 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sqrt (sin x)) 1) (/ (* (/ x (tan (/ x 2))) x) (/ (sqrt (sin x)) 1))))>
8.169 * * * * [progress]: [ 50 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (cbrt 1) (cbrt 1))) (/ (* (/ x (tan (/ x 2))) x) (/ (sin x) (cbrt 1)))))>
8.169 * * * * [progress]: [ 51 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (sqrt 1)) (/ (* (/ x (tan (/ x 2))) x) (/ (sin x) (sqrt 1)))))>
8.169 * * * * [progress]: [ 52 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 1) (/ (* (/ x (tan (/ x 2))) x) (/ (sin x) 1))))>
8.169 * * * * [progress]: [ 53 / 133 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* (/ x (tan (/ x 2))) x) (/ (sin x) 1))))>
8.169 * * * * [progress]: [ 54 / 133 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (/ (* (/ x (tan (/ x 2))) x) (/ 1 1))))>
8.169 * * * * [progress]: [ 55 / 133 ] simplifiying candidate #<alt (λ (x) (* (/ (/ (sin x) 1) (* x x)) (tan (/ x 2))))>
8.169 * * * * [progress]: [ 56 / 133 ] simplifiying candidate #<alt (λ (x) (/ (sin x) (* (* (/ x (tan (/ x 2))) x) 1)))>
8.169 * * * * [progress]: [ 57 / 133 ] simplifiying candidate #<alt (λ (x) (posit16->real (real->posit16 (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x)))))>
8.169 * * * * [progress]: [ 58 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (log1p (expm1 (/ x (tan (/ x 2))))) x)))>
8.169 * * * * [progress]: [ 59 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (expm1 (log1p (/ x (tan (/ x 2))))) x)))>
8.169 * * * * [progress]: [ 60 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (pow (/ x (tan (/ x 2))) 1) x)))>
8.169 * * * * [progress]: [ 61 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (exp (- (log x) (log (tan (/ x 2))))) x)))>
8.169 * * * * [progress]: [ 62 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (exp (log (/ x (tan (/ x 2))))) x)))>
8.169 * * * * [progress]: [ 63 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (log (exp (/ x (tan (/ x 2))))) x)))>
8.169 * * * * [progress]: [ 64 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (cbrt (/ (* (* x x) x) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))))) x)))>
8.169 * * * * [progress]: [ 65 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (* (cbrt (/ x (tan (/ x 2)))) (cbrt (/ x (tan (/ x 2))))) (cbrt (/ x (tan (/ x 2))))) x)))>
8.169 * * * * [progress]: [ 66 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (cbrt (* (* (/ x (tan (/ x 2))) (/ x (tan (/ x 2)))) (/ x (tan (/ x 2))))) x)))>
8.170 * * * * [progress]: [ 67 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (sqrt (/ x (tan (/ x 2)))) (sqrt (/ x (tan (/ x 2))))) x)))>
8.170 * * * * [progress]: [ 68 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ (- x) (- (tan (/ x 2)))) x)))>
8.170 * * * * [progress]: [ 69 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (/ (* (cbrt x) (cbrt x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (/ (cbrt x) (cbrt (tan (/ x 2))))) x)))>
8.170 * * * * [progress]: [ 70 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (/ (* (cbrt x) (cbrt x)) (sqrt (tan (/ x 2)))) (/ (cbrt x) (sqrt (tan (/ x 2))))) x)))>
8.170 * * * * [progress]: [ 71 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (tan (/ x 2)))) x)))>
8.170 * * * * [progress]: [ 72 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (/ (sqrt x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (/ (sqrt x) (cbrt (tan (/ x 2))))) x)))>
8.170 * * * * [progress]: [ 73 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (/ (sqrt x) (sqrt (tan (/ x 2)))) (/ (sqrt x) (sqrt (tan (/ x 2))))) x)))>
8.170 * * * * [progress]: [ 74 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (/ (sqrt x) 1) (/ (sqrt x) (tan (/ x 2)))) x)))>
8.170 * * * * [progress]: [ 75 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (/ 1 (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (/ x (cbrt (tan (/ x 2))))) x)))>
8.170 * * * * [progress]: [ 76 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (/ 1 (sqrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2))))) x)))>
8.170 * * * * [progress]: [ 77 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (/ 1 1) (/ x (tan (/ x 2)))) x)))>
8.170 * * * * [progress]: [ 78 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* 1 (/ x (tan (/ x 2)))) x)))>
8.170 * * * * [progress]: [ 79 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* x (/ 1 (tan (/ x 2)))) x)))>
8.170 * * * * [progress]: [ 80 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ 1 (/ (tan (/ x 2)) x)) x)))>
8.170 * * * * [progress]: [ 81 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ (/ x (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (cbrt (tan (/ x 2)))) x)))>
8.170 * * * * [progress]: [ 82 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ (/ x (sqrt (tan (/ x 2)))) (sqrt (tan (/ x 2)))) x)))>
8.171 * * * * [progress]: [ 83 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ (/ x 1) (tan (/ x 2))) x)))>
8.171 * * * * [progress]: [ 84 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ (* (cbrt x) (cbrt x)) (/ (tan (/ x 2)) (cbrt x))) x)))>
8.171 * * * * [progress]: [ 85 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ (sqrt x) (/ (tan (/ x 2)) (sqrt x))) x)))>
8.171 * * * * [progress]: [ 86 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ 1 (/ (tan (/ x 2)) x)) x)))>
8.171 * * * * [progress]: [ 87 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (/ x (sin (/ x 2))) (cos (/ x 2))) x)))>
8.171 * * * * [progress]: [ 88 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (posit16->real (real->posit16 (/ x (tan (/ x 2))))) x)))>
8.171 * * * * [progress]: [ 89 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (log1p (expm1 (* (/ x (tan (/ x 2))) x)))))>
8.171 * * * * [progress]: [ 90 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (expm1 (log1p (* (/ x (tan (/ x 2))) x)))))>
8.171 * * * * [progress]: [ 91 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (pow (* (/ x (tan (/ x 2))) x) 1)))>
8.171 * * * * [progress]: [ 92 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (pow (* (/ x (tan (/ x 2))) x) 1)))>
8.171 * * * * [progress]: [ 93 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (exp (+ (- (log x) (log (tan (/ x 2)))) (log x)))))>
8.171 * * * * [progress]: [ 94 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (exp (+ (log (/ x (tan (/ x 2)))) (log x)))))>
8.171 * * * * [progress]: [ 95 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (exp (log (* (/ x (tan (/ x 2))) x)))))>
8.171 * * * * [progress]: [ 96 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (log (exp (* (/ x (tan (/ x 2))) x)))))>
8.171 * * * * [progress]: [ 97 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (cbrt (* (/ (* (* x x) x) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* x x) x)))))>
8.171 * * * * [progress]: [ 98 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (cbrt (* (* (* (/ x (tan (/ x 2))) (/ x (tan (/ x 2)))) (/ x (tan (/ x 2)))) (* (* x x) x)))))>
8.171 * * * * [progress]: [ 99 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (cbrt (* (/ x (tan (/ x 2))) x)) (cbrt (* (/ x (tan (/ x 2))) x))) (cbrt (* (/ x (tan (/ x 2))) x)))))>
8.172 * * * * [progress]: [ 100 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (cbrt (* (* (* (/ x (tan (/ x 2))) x) (* (/ x (tan (/ x 2))) x)) (* (/ x (tan (/ x 2))) x)))))>
8.172 * * * * [progress]: [ 101 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (sqrt (* (/ x (tan (/ x 2))) x)) (sqrt (* (/ x (tan (/ x 2))) x)))))>
8.172 * * * * [progress]: [ 102 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* 1 (* (/ x (tan (/ x 2))) x))))>
8.172 * * * * [progress]: [ 103 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (sqrt (/ x (tan (/ x 2)))) (sqrt x)) (* (sqrt (/ x (tan (/ x 2)))) (sqrt x)))))>
8.172 * * * * [progress]: [ 104 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (/ (sqrt x) (sqrt (tan (/ x 2)))) (sqrt x)) (* (/ (sqrt x) (sqrt (tan (/ x 2)))) (sqrt x)))))>
8.172 * * * * [progress]: [ 105 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (/ x (tan (/ x 2))) (* (cbrt x) (cbrt x))) (cbrt x))))>
8.172 * * * * [progress]: [ 106 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (/ x (tan (/ x 2))) (sqrt x)) (sqrt x))))>
8.172 * * * * [progress]: [ 107 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (/ x (tan (/ x 2))) 1) x)))>
8.172 * * * * [progress]: [ 108 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (* (cbrt (/ x (tan (/ x 2)))) (cbrt (/ x (tan (/ x 2))))) (* (cbrt (/ x (tan (/ x 2)))) x))))>
8.172 * * * * [progress]: [ 109 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (sqrt (/ x (tan (/ x 2)))) (* (sqrt (/ x (tan (/ x 2)))) x))))>
8.172 * * * * [progress]: [ 110 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ (* (cbrt x) (cbrt x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (* (/ (cbrt x) (cbrt (tan (/ x 2)))) x))))>
8.172 * * * * [progress]: [ 111 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ (* (cbrt x) (cbrt x)) (sqrt (tan (/ x 2)))) (* (/ (cbrt x) (sqrt (tan (/ x 2)))) x))))>
8.172 * * * * [progress]: [ 112 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) (tan (/ x 2))) x))))>
8.172 * * * * [progress]: [ 113 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ (sqrt x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (* (/ (sqrt x) (cbrt (tan (/ x 2)))) x))))>
8.172 * * * * [progress]: [ 114 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ (sqrt x) (sqrt (tan (/ x 2)))) (* (/ (sqrt x) (sqrt (tan (/ x 2)))) x))))>
8.172 * * * * [progress]: [ 115 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ (sqrt x) 1) (* (/ (sqrt x) (tan (/ x 2))) x))))>
8.173 * * * * [progress]: [ 116 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ 1 (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (* (/ x (cbrt (tan (/ x 2)))) x))))>
8.173 * * * * [progress]: [ 117 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ 1 (sqrt (tan (/ x 2)))) (* (/ x (sqrt (tan (/ x 2)))) x))))>
8.173 * * * * [progress]: [ 118 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ 1 1) (* (/ x (tan (/ x 2))) x))))>
8.173 * * * * [progress]: [ 119 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* 1 (* (/ x (tan (/ x 2))) x))))>
8.173 * * * * [progress]: [ 120 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* x (* (/ 1 (tan (/ x 2))) x))))>
8.173 * * * * [progress]: [ 121 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ x (sin (/ x 2))) (* (cos (/ x 2)) x))))>
8.173 * * * * [progress]: [ 122 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (/ (* x x) (tan (/ x 2)))))>
8.173 * * * * [progress]: [ 123 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (posit16->real (real->posit16 (* (/ x (tan (/ x 2))) x)))))>
8.173 * * * * [progress]: [ 124 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* x (/ x (tan (/ x 2))))))>
8.173 * * * * [progress]: [ 125 / 133 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
8.173 * * * * [progress]: [ 126 / 133 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
8.173 * * * * [progress]: [ 127 / 133 ] simplifiying candidate #<alt (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
8.173 * * * * [progress]: [ 128 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (- 2 (+ (* 1/6 (pow x 2)) (* 1/360 (pow x 4)))) x)))>
8.173 * * * * [progress]: [ 129 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ (* (cos (* 1/2 x)) x) (sin (* 1/2 x))) x)))>
8.173 * * * * [progress]: [ 130 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (* (/ (* (cos (* 1/2 x)) x) (sin (* 1/2 x))) x)))>
8.173 * * * * [progress]: [ 131 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (- (* 2 x) (+ (* 1/6 (pow x 3)) (* 1/360 (pow x 5))))))>
8.173 * * * * [progress]: [ 132 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (/ (* (cos (* 1/2 x)) (pow x 2)) (sin (* 1/2 x)))))>
8.173 * * * * [progress]: [ 133 / 133 ] simplifiying candidate #<alt (λ (x) (/ (/ (sin x) 1) (/ (* (cos (* 1/2 x)) (pow x 2)) (sin (* 1/2 x)))))>
8.175 * [simplify]: Simplifying (expm1 (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x))), (log1p (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x))), (- (- (log (sin x)) 0) (+ (- (log x) (log (tan (/ x 2)))) (log x))), (- (- (log (sin x)) 0) (+ (log (/ x (tan (/ x 2)))) (log x))), (- (- (log (sin x)) 0) (log (* (/ x (tan (/ x 2))) x))), (- (- (log (sin x)) (log 1)) (+ (- (log x) (log (tan (/ x 2)))) (log x))), (- (- (log (sin x)) (log 1)) (+ (log (/ x (tan (/ x 2)))) (log x))), (- (- (log (sin x)) (log 1)) (log (* (/ x (tan (/ x 2))) x))), (- (log (/ (sin x) 1)) (+ (- (log x) (log (tan (/ x 2)))) (log x))), (- (log (/ (sin x) 1)) (+ (log (/ x (tan (/ x 2)))) (log x))), (- (log (/ (sin x) 1)) (log (* (/ x (tan (/ x 2))) x))), (log (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x))), (exp (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x))), (/ (/ (* (* (sin x) (sin x)) (sin x)) (* (* 1 1) 1)) (* (/ (* (* x x) x) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* x x) x))), (/ (/ (* (* (sin x) (sin x)) (sin x)) (* (* 1 1) 1)) (* (* (* (/ x (tan (/ x 2))) (/ x (tan (/ x 2)))) (/ x (tan (/ x 2)))) (* (* x x) x))), (/ (/ (* (* (sin x) (sin x)) (sin x)) (* (* 1 1) 1)) (* (* (* (/ x (tan (/ x 2))) x) (* (/ x (tan (/ x 2))) x)) (* (/ x (tan (/ x 2))) x))), (/ (* (* (/ (sin x) 1) (/ (sin x) 1)) (/ (sin x) 1)) (* (/ (* (* x x) x) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* x x) x))), (/ (* (* (/ (sin x) 1) (/ (sin x) 1)) (/ (sin x) 1)) (* (* (* (/ x (tan (/ x 2))) (/ x (tan (/ x 2)))) (/ x (tan (/ x 2)))) (* (* x x) x))), (/ (* (* (/ (sin x) 1) (/ (sin x) 1)) (/ (sin x) 1)) (* (* (* (/ x (tan (/ x 2))) x) (* (/ x (tan (/ x 2))) x)) (* (/ x (tan (/ x 2))) x))), (* (cbrt (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x))) (cbrt (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x)))), (cbrt (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x))), (* (* (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x)) (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x))) (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x))), (sqrt (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x))), (sqrt (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x))), (- (/ (sin x) 1)), (- (* (/ x (tan (/ x 2))) x)), (/ (* (cbrt (/ (sin x) 1)) (cbrt (/ (sin x) 1))) (/ x (tan (/ x 2)))), (/ (cbrt (/ (sin x) 1)) x), (/ (sqrt (/ (sin x) 1)) (/ x (tan (/ x 2)))), (/ (sqrt (/ (sin x) 1)) x), (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 1) (cbrt 1))) (/ x (tan (/ x 2)))), (/ (/ (cbrt (sin x)) (cbrt 1)) x), (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt 1)) (/ x (tan (/ x 2)))), (/ (/ (cbrt (sin x)) (sqrt 1)) x), (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ x (tan (/ x 2)))), (/ (/ (cbrt (sin x)) 1) x), (/ (/ (sqrt (sin x)) (* (cbrt 1) (cbrt 1))) (/ x (tan (/ x 2)))), (/ (/ (sqrt (sin x)) (cbrt 1)) x), (/ (/ (sqrt (sin x)) (sqrt 1)) (/ x (tan (/ x 2)))), (/ (/ (sqrt (sin x)) (sqrt 1)) x), (/ (/ (sqrt (sin x)) 1) (/ x (tan (/ x 2)))), (/ (/ (sqrt (sin x)) 1) x), (/ (/ 1 (* (cbrt 1) (cbrt 1))) (/ x (tan (/ x 2)))), (/ (/ (sin x) (cbrt 1)) x), (/ (/ 1 (sqrt 1)) (/ x (tan (/ x 2)))), (/ (/ (sin x) (sqrt 1)) x), (/ (/ 1 1) (/ x (tan (/ x 2)))), (/ (/ (sin x) 1) x), (/ 1 (/ x (tan (/ x 2)))), (/ (/ (sin x) 1) x), (/ (sin x) (/ x (tan (/ x 2)))), (/ (/ 1 1) x), (/ 1 (* (/ x (tan (/ x 2))) x)), (/ (* (/ x (tan (/ x 2))) x) (/ (sin x) 1)), (/ (/ (sin x) 1) (/ x (tan (/ x 2)))), (/ (* (/ x (tan (/ x 2))) x) (cbrt (/ (sin x) 1))), (/ (* (/ x (tan (/ x 2))) x) (sqrt (/ (sin x) 1))), (/ (* (/ x (tan (/ x 2))) x) (/ (cbrt (sin x)) (cbrt 1))), (/ (* (/ x (tan (/ x 2))) x) (/ (cbrt (sin x)) (sqrt 1))), (/ (* (/ x (tan (/ x 2))) x) (/ (cbrt (sin x)) 1)), (/ (* (/ x (tan (/ x 2))) x) (/ (sqrt (sin x)) (cbrt 1))), (/ (* (/ x (tan (/ x 2))) x) (/ (sqrt (sin x)) (sqrt 1))), (/ (* (/ x (tan (/ x 2))) x) (/ (sqrt (sin x)) 1)), (/ (* (/ x (tan (/ x 2))) x) (/ (sin x) (cbrt 1))), (/ (* (/ x (tan (/ x 2))) x) (/ (sin x) (sqrt 1))), (/ (* (/ x (tan (/ x 2))) x) (/ (sin x) 1)), (/ (* (/ x (tan (/ x 2))) x) (/ (sin x) 1)), (/ (* (/ x (tan (/ x 2))) x) (/ 1 1)), (/ (/ (sin x) 1) (* x x)), (* (* (/ x (tan (/ x 2))) x) 1), (real->posit16 (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x))), (expm1 (/ x (tan (/ x 2)))), (log1p (/ x (tan (/ x 2)))), (- (log x) (log (tan (/ x 2)))), (log (/ x (tan (/ x 2)))), (exp (/ x (tan (/ x 2)))), (/ (* (* x x) x) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))), (* (cbrt (/ x (tan (/ x 2)))) (cbrt (/ x (tan (/ x 2))))), (cbrt (/ x (tan (/ x 2)))), (* (* (/ x (tan (/ x 2))) (/ x (tan (/ x 2)))) (/ x (tan (/ x 2)))), (sqrt (/ x (tan (/ x 2)))), (sqrt (/ x (tan (/ x 2)))), (- x), (- (tan (/ x 2))), (/ (* (cbrt x) (cbrt x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))), (/ (cbrt x) (cbrt (tan (/ x 2)))), (/ (* (cbrt x) (cbrt x)) (sqrt (tan (/ x 2)))), (/ (cbrt x) (sqrt (tan (/ x 2)))), (/ (* (cbrt x) (cbrt x)) 1), (/ (cbrt x) (tan (/ x 2))), (/ (sqrt x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))), (/ (sqrt x) (cbrt (tan (/ x 2)))), (/ (sqrt x) (sqrt (tan (/ x 2)))), (/ (sqrt x) (sqrt (tan (/ x 2)))), (/ (sqrt x) 1), (/ (sqrt x) (tan (/ x 2))), (/ 1 (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))), (/ x (cbrt (tan (/ x 2)))), (/ 1 (sqrt (tan (/ x 2)))), (/ x (sqrt (tan (/ x 2)))), (/ 1 1), (/ x (tan (/ x 2))), (/ 1 (tan (/ x 2))), (/ (tan (/ x 2)) x), (/ x (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))), (/ x (sqrt (tan (/ x 2)))), (/ x 1), (/ (tan (/ x 2)) (cbrt x)), (/ (tan (/ x 2)) (sqrt x)), (/ (tan (/ x 2)) x), (/ x (sin (/ x 2))), (real->posit16 (/ x (tan (/ x 2)))), (expm1 (* (/ x (tan (/ x 2))) x)), (log1p (* (/ x (tan (/ x 2))) x)), (* (/ x (tan (/ x 2))) x), (+ (- (log x) (log (tan (/ x 2)))) (log x)), (+ (log (/ x (tan (/ x 2)))) (log x)), (log (* (/ x (tan (/ x 2))) x)), (exp (* (/ x (tan (/ x 2))) x)), (* (/ (* (* x x) x) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* x x) x)), (* (* (* (/ x (tan (/ x 2))) (/ x (tan (/ x 2)))) (/ x (tan (/ x 2)))) (* (* x x) x)), (* (cbrt (* (/ x (tan (/ x 2))) x)) (cbrt (* (/ x (tan (/ x 2))) x))), (cbrt (* (/ x (tan (/ x 2))) x)), (* (* (* (/ x (tan (/ x 2))) x) (* (/ x (tan (/ x 2))) x)) (* (/ x (tan (/ x 2))) x)), (sqrt (* (/ x (tan (/ x 2))) x)), (sqrt (* (/ x (tan (/ x 2))) x)), (* (sqrt (/ x (tan (/ x 2)))) (sqrt x)), (* (sqrt (/ x (tan (/ x 2)))) (sqrt x)), (* (/ (sqrt x) (sqrt (tan (/ x 2)))) (sqrt x)), (* (/ (sqrt x) (sqrt (tan (/ x 2)))) (sqrt x)), (* (/ x (tan (/ x 2))) (* (cbrt x) (cbrt x))), (* (/ x (tan (/ x 2))) (sqrt x)), (* (/ x (tan (/ x 2))) 1), (* (cbrt (/ x (tan (/ x 2)))) x), (* (sqrt (/ x (tan (/ x 2)))) x), (* (/ (cbrt x) (cbrt (tan (/ x 2)))) x), (* (/ (cbrt x) (sqrt (tan (/ x 2)))) x), (* (/ (cbrt x) (tan (/ x 2))) x), (* (/ (sqrt x) (cbrt (tan (/ x 2)))) x), (* (/ (sqrt x) (sqrt (tan (/ x 2)))) x), (* (/ (sqrt x) (tan (/ x 2))) x), (* (/ x (cbrt (tan (/ x 2)))) x), (* (/ x (sqrt (tan (/ x 2)))) x), (* (/ x (tan (/ x 2))) x), (* (/ x (tan (/ x 2))) x), (* (/ 1 (tan (/ x 2))) x), (* (cos (/ x 2)) x), (* x x), (real->posit16 (* (/ x (tan (/ x 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))), (- 2 (+ (* 1/6 (pow x 2)) (* 1/360 (pow x 4)))), (/ (* (cos (* 1/2 x)) x) (sin (* 1/2 x))), (/ (* (cos (* 1/2 x)) x) (sin (* 1/2 x))), (- (* 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)))
8.179 * * [simplify]: iteration 1: (230 enodes)
8.330 * * [simplify]: iteration 2: (936 enodes)
8.672 * * [simplify]: Extracting #0: cost 90 inf + 0
8.673 * * [simplify]: Extracting #1: cost 485 inf + 2
8.675 * * [simplify]: Extracting #2: cost 685 inf + 4354
8.679 * * [simplify]: Extracting #3: cost 590 inf + 17884
8.686 * * [simplify]: Extracting #4: cost 419 inf + 57077
8.706 * * [simplify]: Extracting #5: cost 77 inf + 169500
8.738 * * [simplify]: Extracting #6: cost 0 inf + 192300
8.795 * * [simplify]: Extracting #7: cost 0 inf + 192060
8.826 * [simplify]: Simplified to (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)))), (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)))), (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))))), (* (* (/ (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))), (* (tan (/ x 2)) (/ (* (cbrt (sin x)) (cbrt (sin x))) x)), (/ (cbrt (sin x)) x), (* (tan (/ x 2)) (/ (sqrt (sin x)) x)), (/ (sqrt (sin x)) x), (* (tan (/ x 2)) (/ (* (cbrt (sin x)) (cbrt (sin x))) x)), (/ (cbrt (sin x)) x), (* (tan (/ x 2)) (/ (* (cbrt (sin x)) (cbrt (sin x))) x)), (/ (cbrt (sin x)) x), (* (tan (/ x 2)) (/ (* (cbrt (sin x)) (cbrt (sin x))) x)), (/ (cbrt (sin x)) x), (* (tan (/ x 2)) (/ (sqrt (sin x)) x)), (/ (sqrt (sin x)) x), (* (tan (/ x 2)) (/ (sqrt (sin x)) x)), (/ (sqrt (sin x)) x), (* (tan (/ x 2)) (/ (sqrt (sin x)) x)), (/ (sqrt (sin x)) x), (* (/ 1 x) (tan (/ x 2))), (/ (sin x) x), (* (/ 1 x) (tan (/ x 2))), (/ (sin x) x), (* (/ 1 x) (tan (/ x 2))), (/ (sin x) x), (* (/ 1 x) (tan (/ x 2))), (/ (sin x) x), (/ (* (sin x) (tan (/ x 2))) x), (/ 1 x), (/ (* (/ 1 x) (tan (/ x 2))) x), (/ (/ x (tan (/ x 2))) (/ (sin x) x)), (/ (* (sin x) (tan (/ x 2))) x), (/ (/ x (tan (/ x 2))) (/ (cbrt (sin x)) x)), (/ x (* (/ (sqrt (sin x)) x) (tan (/ x 2)))), (/ (/ 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 (* (/ (sqrt (sin x)) x) (tan (/ x 2)))), (/ x (* (/ (sqrt (sin x)) x) (tan (/ x 2)))), (/ x (* (/ (sqrt (sin x)) x) (tan (/ x 2)))), (/ (/ x (tan (/ x 2))) (/ (sin x) x)), (/ (/ x (tan (/ x 2))) (/ (sin x) x)), (/ (/ x (tan (/ x 2))) (/ (sin x) x)), (/ (/ x (tan (/ x 2))) (/ (sin x) x)), (/ (* x x) (tan (/ x 2))), (/ (sin x) (* x x)), (/ (* x x) (tan (/ x 2))), (real->posit16 (* (/ (sin x) (* x x)) (tan (/ x 2)))), (expm1 (/ x (tan (/ x 2)))), (log1p (/ x (tan (/ x 2)))), (log (/ x (tan (/ x 2)))), (log (/ x (tan (/ x 2)))), (exp (/ x (tan (/ x 2)))), (* (* (/ x (tan (/ x 2))) (/ x (tan (/ x 2)))) (/ x (tan (/ x 2)))), (* (cbrt (/ x (tan (/ x 2)))) (cbrt (/ x (tan (/ x 2))))), (cbrt (/ x (tan (/ x 2)))), (* (* (/ x (tan (/ x 2))) (/ x (tan (/ x 2)))) (/ x (tan (/ x 2)))), (sqrt (/ x (tan (/ x 2)))), (sqrt (/ x (tan (/ x 2)))), (- x), (- (tan (/ x 2))), (* (/ (cbrt x) (cbrt (tan (/ x 2)))) (/ (cbrt x) (cbrt (tan (/ x 2))))), (/ (cbrt x) (cbrt (tan (/ x 2)))), (* (/ (cbrt x) (sqrt (tan (/ x 2)))) (cbrt x)), (/ (cbrt x) (sqrt (tan (/ x 2)))), (* (cbrt x) (cbrt x)), (/ (cbrt x) (tan (/ x 2))), (/ (sqrt x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))), (/ (sqrt x) (cbrt (tan (/ x 2)))), (/ (sqrt x) (sqrt (tan (/ x 2)))), (/ (sqrt x) (sqrt (tan (/ x 2)))), (sqrt x), (/ (sqrt x) (tan (/ x 2))), (/ 1 (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))), (/ x (cbrt (tan (/ x 2)))), (/ 1 (sqrt (tan (/ x 2)))), (/ x (sqrt (tan (/ x 2)))), 1, (/ x (tan (/ x 2))), (/ 1 (tan (/ x 2))), (/ (tan (/ x 2)) x), (/ x (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))), (/ x (sqrt (tan (/ x 2)))), x, (/ (tan (/ x 2)) (cbrt x)), (/ (tan (/ x 2)) (sqrt x)), (/ (tan (/ x 2)) x), (/ x (sin (/ x 2))), (real->posit16 (/ x (tan (/ x 2)))), (expm1 (/ (* x x) (tan (/ x 2)))), (log1p (/ (* x x) (tan (/ x 2)))), (/ (* 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)))), (* (sqrt x) (sqrt (/ x (tan (/ x 2))))), (* (sqrt x) (sqrt (/ x (tan (/ x 2))))), (/ x (sqrt (tan (/ x 2)))), (/ x (sqrt (tan (/ x 2)))), (/ x (/ (tan (/ x 2)) (* (cbrt x) (cbrt x)))), (/ (sqrt x) (/ (tan (/ x 2)) x)), (/ x (tan (/ x 2))), (* x (cbrt (/ x (tan (/ x 2))))), (* x (sqrt (/ x (tan (/ x 2))))), (/ (cbrt x) (/ (cbrt (tan (/ x 2))) x)), (/ (* (cbrt x) x) (sqrt (tan (/ x 2)))), (/ (* (cbrt x) x) (tan (/ x 2))), (/ (* x (sqrt x)) (cbrt (tan (/ x 2)))), (/ (* x (sqrt x)) (sqrt (tan (/ x 2)))), (/ (sqrt x) (/ (tan (/ x 2)) x)), (* (/ x (cbrt (tan (/ x 2)))) x), (/ (* x x) (sqrt (tan (/ x 2)))), (/ (* x x) (tan (/ x 2))), (/ (* x x) (tan (/ x 2))), (/ x (tan (/ x 2))), (* (cos (/ x 2)) x), (* x x), (real->posit16 (/ (* x x) (tan (/ x 2)))), (+ (fma (* (* x x) (* x x)) 1/720 1/2) (* (* x x) -1/24)), (* (/ (sin x) (cos (* x 1/2))) (/ (sin (* x 1/2)) (* x x))), (* (/ (sin x) (cos (* x 1/2))) (/ (sin (* x 1/2)) (* x x))), (- 2 (fma (* x x) 1/6 (* 1/360 (* (* x x) (* x x))))), (* (/ (cos (* x 1/2)) (sin (* x 1/2))) x), (* (/ (cos (* x 1/2)) (sin (* x 1/2))) x), (- (* 2 x) (fma (* x (* x x)) 1/6 (* (pow x 5) 1/360))), (* (/ (cos (* x 1/2)) (sin (* x 1/2))) (* x x)), (* (/ (cos (* x 1/2)) (sin (* x 1/2))) (* x x))
8.836 * * * [progress]: adding candidates to table
9.961 * [progress]: [Phase 3 of 3] Extracting.
9.962 * * [regime]: Finding splitpoints for: (#<alt (λ (x) (/ (/ (sin x) 1) (* (/ (* (cos (* 1/2 x)) x) (sin (* 1/2 x))) x)))> #<alt (λ (x) (* (cbrt (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x)))) (/ (tan (/ x 2)) x)))> #<alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))> #<alt (λ (x) (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x)))> #<alt (λ (x) (/ (/ (- 1 (cos x)) x) x))>)
9.963 * * * [regime-changes]: Trying 1 branch expressions: (x)
9.963 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x) (/ (/ (sin x) 1) (* (/ (* (cos (* 1/2 x)) x) (sin (* 1/2 x))) x)))> #<alt (λ (x) (* (cbrt (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x)))) (/ (tan (/ x 2)) x)))> #<alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))> #<alt (λ (x) (/ (/ (sin x) 1) (* (/ x (tan (/ x 2))) x)))> #<alt (λ (x) (/ (/ (- 1 (cos x)) x) x))>)
9.989 * * * [regime]: Found split indices: #<option (#s(si 2 255))>
9.990 * [simplify]: Simplifying (* (/ (sin x) x) (/ (tan (/ x 2)) x))
9.990 * * [simplify]: iteration 1: (8 enodes)
9.990 * * [simplify]: iteration 2: (9 enodes)
9.991 * * [simplify]: Extracting #0: cost 1 inf + 0
9.991 * * [simplify]: Extracting #1: cost 3 inf + 0
9.991 * * [simplify]: Extracting #2: cost 6 inf + 0
9.991 * * [simplify]: Extracting #3: cost 6 inf + 1
9.991 * * [simplify]: Extracting #4: cost 5 inf + 163
9.991 * * [simplify]: Extracting #5: cost 0 inf + 837
9.991 * [simplify]: Simplified to (* (/ (tan (/ x 2)) x) (/ (sin x) x))
14.259 * [regime-testing]: Baseline error score: 0.1221925303209777
14.262 * [regime-testing]: Oracle error score: 0.02229526815888044
14.266 * [regime-testing]: End program error score: 0.1221925303209777