15.502 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.105 * * * [progress]: [2/2] Setting up program. 0.110 * [progress]: [Phase 2 of 3] Improving. 0.110 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.110 * [simplify]: Simplifying: (/ (- 1 (cos x)) (* x x)) 0.110 * * [simplify]: iteration 0: 6 enodes 0.114 * * [simplify]: iteration 1: 15 enodes 0.118 * * [simplify]: iteration 2: 23 enodes 0.126 * * [simplify]: iteration 3: 28 enodes 0.133 * * [simplify]: iteration 4: 30 enodes 0.140 * * [simplify]: iteration complete: 30 enodes 0.140 * * [simplify]: Extracting #0: cost 1 inf + 0 0.141 * * [simplify]: Extracting #1: cost 8 inf + 0 0.141 * * [simplify]: Extracting #2: cost 12 inf + 42 0.141 * * [simplify]: Extracting #3: cost 7 inf + 447 0.141 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.142 * [simplify]: Simplified to: (/ (- 1 (cos x)) (* x x)) 0.143 * * [progress]: iteration 1 / 4 0.143 * * * [progress]: picking best candidate 0.146 * * * * [pick]: Picked # 0.147 * * * [progress]: localizing error 0.169 * * * [progress]: generating rewritten candidates 0.169 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.201 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.230 * * * [progress]: generating series expansions 0.231 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.240 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2)) 0.240 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0 0.241 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.241 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.241 * [taylor]: Taking taylor expansion of 1 in x 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of (cos x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (- 1) into -1 0.244 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.245 * [backup-simplify]: Simplify (+ 0) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.248 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.249 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.249 * [backup-simplify]: Simplify (* 1 1) into 1 0.250 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.250 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.250 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.250 * [taylor]: Taking taylor expansion of 1 in x 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of (cos x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (- 1) into -1 0.251 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.251 * [backup-simplify]: Simplify (+ 0) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.254 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.254 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.254 * [backup-simplify]: Simplify (* 1 1) into 1 0.255 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.255 * [backup-simplify]: Simplify 1/2 into 1/2 0.257 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.262 * [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 0.263 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.263 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.265 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.265 * [backup-simplify]: Simplify -1/24 into -1/24 0.268 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.276 * [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 0.277 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.277 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.280 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.280 * [backup-simplify]: Simplify 1/720 into 1/720 0.282 * [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))) 0.282 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.282 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 0.282 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.282 * [taylor]: Taking taylor expansion of 1 in x 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.283 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.283 * [taylor]: Taking taylor expansion of 1 in x 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.285 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.285 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.285 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.285 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0 0.302 * [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 0) (* 0 1))))))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.307 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.307 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.307 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.307 * [taylor]: Taking taylor expansion of 1 in x 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.307 * [taylor]: Taking taylor expansion of -1 in x 0.307 * [backup-simplify]: Simplify -1 into -1 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ -1 1) into -1 0.308 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.308 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.308 * [taylor]: Taking taylor expansion of 1 in x 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.308 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.308 * [taylor]: Taking taylor expansion of -1 in x 0.308 * [backup-simplify]: Simplify -1 into -1 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ -1 1) into -1 0.309 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.309 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.309 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.309 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 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 (- 1 (cos (/ -1 x)))))))) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.328 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.328 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.328 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.328 * [taylor]: Taking taylor expansion of 1 in x 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of (cos x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.328 * [taylor]: Taking taylor expansion of 1 in x 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of (cos x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (- 1) into -1 0.329 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (+ 0) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.331 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.331 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.332 * [backup-simplify]: Simplify 1/2 into 1/2 0.333 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.336 * [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 0.336 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.337 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.337 * [backup-simplify]: Simplify -1/24 into -1/24 0.339 * [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 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.344 * [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 0.344 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.345 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.345 * [backup-simplify]: Simplify 1/720 into 1/720 0.345 * [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))) 0.345 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.345 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.345 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 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 (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.345 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 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 (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 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 1) into 1 0.346 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.346 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.346 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.346 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [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 (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.349 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.349 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.349 * [taylor]: Taking taylor expansion of 1 in x 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.349 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.349 * [taylor]: Taking taylor expansion of -1 in x 0.349 * [backup-simplify]: Simplify -1 into -1 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (/ -1 1) into -1 0.350 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.350 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.350 * [taylor]: Taking taylor expansion of 1 in x 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.350 * [taylor]: Taking taylor expansion of -1 in x 0.350 * [backup-simplify]: Simplify -1 into -1 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (/ -1 1) into -1 0.350 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.350 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.350 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.350 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.350 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify 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 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.353 * * * [progress]: simplifying candidates 0.353 * * * * [progress]: [ 1 / 53 ] simplifiying candidate # 0.353 * * * * [progress]: [ 2 / 53 ] simplifiying candidate # 0.353 * * * * [progress]: [ 3 / 53 ] simplifiying candidate # 0.353 * * * * [progress]: [ 4 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 5 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 6 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 7 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 8 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 9 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 10 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 11 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 12 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 13 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 14 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 15 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 16 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 17 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 18 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 19 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 20 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 21 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 22 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 23 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 24 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 25 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 26 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 27 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 28 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 29 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 30 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 31 / 53 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.354 * * * * [progress]: [ 32 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 33 / 53 ] simplifiying candidate # 0.354 * * * * [progress]: [ 34 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 35 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 36 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 37 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 38 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 39 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 40 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 41 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 42 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 43 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 44 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 45 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 46 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 47 / 53 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.355 * * * * [progress]: [ 48 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 49 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 50 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 51 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 52 / 53 ] simplifiying candidate # 0.355 * * * * [progress]: [ 53 / 53 ] simplifiying candidate # 0.356 * [simplify]: Simplifying: (- (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))) (/ (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)) 0.356 * * [simplify]: iteration 0: 93 enodes 0.385 * * [simplify]: iteration 1: 230 enodes 0.481 * * [simplify]: iteration 2: 707 enodes 1.237 * * [simplify]: iteration 3: 3004 enodes 2.106 * * [simplify]: iteration complete: 5139 enodes 2.106 * * [simplify]: Extracting #0: cost 42 inf + 0 2.108 * * [simplify]: Extracting #1: cost 551 inf + 0 2.114 * * [simplify]: Extracting #2: cost 1575 inf + 6367 2.136 * * [simplify]: Extracting #3: cost 1357 inf + 98440 2.196 * * [simplify]: Extracting #4: cost 241 inf + 312089 2.260 * * [simplify]: Extracting #5: cost 8 inf + 373182 2.360 * * [simplify]: Extracting #6: cost 0 inf + 374249 2.422 * [simplify]: Simplified to: (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))) (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 (cos x)) 1) x) (/ (- 1 (sqrt (cos x))) x) (/ (+ (sqrt (cos x)) 1) x) (/ (- 1 (sqrt (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (/ 1 x) x) (/ (* x x) (- 1 (cos x))) (/ (- 1 (cos x)) x) (* (/ x (cbrt (- 1 (cos x)))) x) (/ (* x x) (sqrt (- 1 (cos x)))) (/ (* x x) (- 1 (cos x))) (/ (* x x) (- 1 (sqrt (cos x)))) (/ (* x x) (- 1 (sqrt (cos x)))) (/ (* x x) (- 1 (cos x))) (+ (* x x) (* (* x x) (+ (cos x) (* (cos x) (cos x))))) (+ (* (* x x) (cos x)) (* x x)) (real->posit16 (/ (/ (- 1 (cos x)) x) 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))) (+ (+ (* (cos x) (cos x)) 1) (cos x)) (- (cos x)) (* (sin x) (sin x)) (+ (cos x) 1) (+ (sqrt (cos x)) 1) (- 1 (sqrt (cos x))) (+ (sqrt (cos x)) 1) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (real->posit16 (- 1 (cos x))) (+ 1/2 (* (* x x) (- (* 1/720 (* x x)) 1/24))) (/ (/ (- 1 (cos x)) x) x) (/ (/ (- 1 (cos x)) x) x) (+ (* 1/720 (* (* x x) (* (* x x) (* x x)))) (* (* x x) (- 1/2 (* 1/24 (* x x))))) (- 1 (cos x)) (- 1 (cos x)) 2.424 * * * [progress]: adding candidates to table 2.592 * * [progress]: iteration 2 / 4 2.592 * * * [progress]: picking best candidate 2.608 * * * * [pick]: Picked # 2.608 * * * [progress]: localizing error 2.654 * * * [progress]: generating rewritten candidates 2.655 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.697 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.707 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.729 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.762 * * * [progress]: generating series expansions 2.762 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.762 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 2.762 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 2.762 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 2.762 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.762 * [taylor]: Taking taylor expansion of (sin x) in x 2.762 * [taylor]: Taking taylor expansion of x in x 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 1 into 1 2.764 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.764 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 2.764 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.764 * [taylor]: Taking taylor expansion of x in x 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 1 into 1 2.764 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.764 * [taylor]: Taking taylor expansion of (cos x) in x 2.764 * [taylor]: Taking taylor expansion of x in x 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 1 into 1 2.764 * [taylor]: Taking taylor expansion of 1 in x 2.764 * [backup-simplify]: Simplify 1 into 1 2.764 * [backup-simplify]: Simplify (* 1 1) into 1 2.764 * [backup-simplify]: Simplify (* 1 1) into 1 2.765 * [backup-simplify]: Simplify (+ 1 1) into 2 2.765 * [backup-simplify]: Simplify (* 1 2) into 2 2.765 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.765 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 2.765 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.765 * [taylor]: Taking taylor expansion of (sin x) in x 2.765 * [taylor]: Taking taylor expansion of x in x 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 1 into 1 2.766 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.766 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 2.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.766 * [taylor]: Taking taylor expansion of x in x 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 1 into 1 2.766 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.766 * [taylor]: Taking taylor expansion of (cos x) in x 2.766 * [taylor]: Taking taylor expansion of x in x 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 1 into 1 2.766 * [taylor]: Taking taylor expansion of 1 in x 2.766 * [backup-simplify]: Simplify 1 into 1 2.766 * [backup-simplify]: Simplify (* 1 1) into 1 2.766 * [backup-simplify]: Simplify (* 1 1) into 1 2.767 * [backup-simplify]: Simplify (+ 1 1) into 2 2.767 * [backup-simplify]: Simplify (* 1 2) into 2 2.767 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.767 * [backup-simplify]: Simplify 1/2 into 1/2 2.768 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.768 * [backup-simplify]: Simplify (+ 0) into 0 2.769 * [backup-simplify]: Simplify (+ 0 0) into 0 2.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 2.772 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 2.772 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.774 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.775 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.775 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.776 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 2.777 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 2.777 * [backup-simplify]: Simplify -1/24 into -1/24 2.778 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.779 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.780 * [backup-simplify]: Simplify (+ 0 0) into 0 2.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 2.782 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 2.782 * [backup-simplify]: Simplify 0 into 0 2.784 * [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 2.785 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.786 * [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 2.786 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.788 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 2.789 * [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 2.789 * [backup-simplify]: Simplify 1/720 into 1/720 2.789 * [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))) 2.790 * [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)) 2.790 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 2.790 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 2.790 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 2.790 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.790 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.790 * [taylor]: Taking taylor expansion of x in x 2.790 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify 1 into 1 2.790 * [backup-simplify]: Simplify (/ 1 1) into 1 2.790 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.790 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.790 * [taylor]: Taking taylor expansion of x in x 2.790 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify 1 into 1 2.790 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.790 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.790 * [taylor]: Taking taylor expansion of x in x 2.790 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify 1 into 1 2.791 * [backup-simplify]: Simplify (/ 1 1) into 1 2.791 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.791 * [taylor]: Taking taylor expansion of 1 in x 2.791 * [backup-simplify]: Simplify 1 into 1 2.791 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.791 * [backup-simplify]: Simplify (* 1 1) into 1 2.791 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 2.791 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.791 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.791 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 2.791 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 2.791 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.791 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.791 * [taylor]: Taking taylor expansion of x in x 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 1 into 1 2.792 * [backup-simplify]: Simplify (/ 1 1) into 1 2.792 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.792 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.792 * [taylor]: Taking taylor expansion of x in x 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 1 into 1 2.792 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.792 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.792 * [taylor]: Taking taylor expansion of x in x 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 1 into 1 2.792 * [backup-simplify]: Simplify (/ 1 1) into 1 2.792 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.792 * [taylor]: Taking taylor expansion of 1 in x 2.792 * [backup-simplify]: Simplify 1 into 1 2.792 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.793 * [backup-simplify]: Simplify (* 1 1) into 1 2.793 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 2.793 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.793 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.793 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.793 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.794 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 2.794 * [backup-simplify]: Simplify (+ 0 0) into 0 2.794 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.794 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.795 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.796 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.796 * [backup-simplify]: Simplify (+ 0 0) into 0 2.796 * [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 2.796 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.798 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.798 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.798 * [backup-simplify]: Simplify (+ 0 0) into 0 2.799 * [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 2.799 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.800 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.801 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.801 * [backup-simplify]: Simplify (+ 0 0) into 0 2.802 * [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 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.803 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.804 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.804 * [backup-simplify]: Simplify (+ 0 0) into 0 2.805 * [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 2.805 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.807 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.808 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.808 * [backup-simplify]: Simplify (+ 0 0) into 0 2.808 * [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 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [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))) 2.809 * [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)) 2.809 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 2.809 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 2.809 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 2.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.809 * [taylor]: Taking taylor expansion of x in x 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.809 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.809 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.809 * [taylor]: Taking taylor expansion of -1 in x 2.809 * [backup-simplify]: Simplify -1 into -1 2.809 * [taylor]: Taking taylor expansion of x in x 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify (/ -1 1) into -1 2.809 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.809 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.809 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.809 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.809 * [taylor]: Taking taylor expansion of -1 in x 2.809 * [backup-simplify]: Simplify -1 into -1 2.809 * [taylor]: Taking taylor expansion of x in x 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.810 * [backup-simplify]: Simplify (/ -1 1) into -1 2.810 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.810 * [taylor]: Taking taylor expansion of 1 in x 2.810 * [backup-simplify]: Simplify 1 into 1 2.810 * [backup-simplify]: Simplify (* 1 1) into 1 2.810 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.810 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 2.810 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.810 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.810 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 2.810 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 2.810 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.810 * [taylor]: Taking taylor expansion of x in x 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.810 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.810 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.810 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.810 * [taylor]: Taking taylor expansion of -1 in x 2.810 * [backup-simplify]: Simplify -1 into -1 2.810 * [taylor]: Taking taylor expansion of x in x 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.811 * [backup-simplify]: Simplify (/ -1 1) into -1 2.811 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.811 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.811 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.811 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.811 * [taylor]: Taking taylor expansion of -1 in x 2.811 * [backup-simplify]: Simplify -1 into -1 2.811 * [taylor]: Taking taylor expansion of x in x 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 1 into 1 2.811 * [backup-simplify]: Simplify (/ -1 1) into -1 2.811 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.811 * [taylor]: Taking taylor expansion of 1 in x 2.811 * [backup-simplify]: Simplify 1 into 1 2.812 * [backup-simplify]: Simplify (* 1 1) into 1 2.812 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.812 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 2.812 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.812 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.812 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.812 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 2.813 * [backup-simplify]: Simplify (+ 0 0) into 0 2.814 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 2.816 * [backup-simplify]: Simplify (+ 0 0) into 0 2.816 * [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 2.816 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 2.818 * [backup-simplify]: Simplify (+ 0 0) into 0 2.819 * [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 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 2.822 * [backup-simplify]: Simplify (+ 0 0) into 0 2.823 * [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 2.823 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 2.828 * [backup-simplify]: Simplify (+ 0 0) into 0 2.829 * [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 2.829 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 2.835 * [backup-simplify]: Simplify (+ 0 0) into 0 2.835 * [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 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [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))) 2.836 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.836 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 2.836 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 2.836 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.836 * [taylor]: Taking taylor expansion of (cos x) in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [taylor]: Taking taylor expansion of 1 in x 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.836 * [taylor]: Taking taylor expansion of (cos x) in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [taylor]: Taking taylor expansion of 1 in x 2.836 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify (+ 1 1) into 2 2.837 * [backup-simplify]: Simplify 2 into 2 2.837 * [backup-simplify]: Simplify (+ 0) into 0 2.837 * [backup-simplify]: Simplify (+ 0 0) into 0 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.839 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.839 * [backup-simplify]: Simplify -1/2 into -1/2 2.840 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.840 * [backup-simplify]: Simplify (+ 0 0) into 0 2.840 * [backup-simplify]: Simplify 0 into 0 2.843 * [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 2.844 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.844 * [backup-simplify]: Simplify 1/24 into 1/24 2.844 * [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))) 2.844 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 2.844 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 2.844 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.844 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.844 * [taylor]: Taking taylor expansion of x in x 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 1 into 1 2.845 * [backup-simplify]: Simplify (/ 1 1) into 1 2.845 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.845 * [taylor]: Taking taylor expansion of 1 in x 2.845 * [backup-simplify]: Simplify 1 into 1 2.845 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.845 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.845 * [taylor]: Taking taylor expansion of x in x 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 1 into 1 2.846 * [backup-simplify]: Simplify (/ 1 1) into 1 2.846 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.846 * [taylor]: Taking taylor expansion of 1 in x 2.846 * [backup-simplify]: Simplify 1 into 1 2.846 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.846 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.846 * [backup-simplify]: Simplify (+ 0 0) into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (+ 0 0) into 0 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (+ 0 0) into 0 2.847 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify (+ 0 0) into 0 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify (+ 0 0) into 0 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify (+ 0 0) into 0 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 2.848 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 2.848 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 2.848 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.848 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.848 * [taylor]: Taking taylor expansion of -1 in x 2.848 * [backup-simplify]: Simplify -1 into -1 2.848 * [taylor]: Taking taylor expansion of x in x 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 1 into 1 2.849 * [backup-simplify]: Simplify (/ -1 1) into -1 2.849 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.849 * [taylor]: Taking taylor expansion of 1 in x 2.849 * [backup-simplify]: Simplify 1 into 1 2.849 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.849 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.849 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.849 * [taylor]: Taking taylor expansion of -1 in x 2.849 * [backup-simplify]: Simplify -1 into -1 2.849 * [taylor]: Taking taylor expansion of x in x 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 1 into 1 2.849 * [backup-simplify]: Simplify (/ -1 1) into -1 2.849 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.849 * [taylor]: Taking taylor expansion of 1 in x 2.849 * [backup-simplify]: Simplify 1 into 1 2.849 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.849 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.850 * [backup-simplify]: Simplify (+ 0 0) into 0 2.850 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify (+ 0 0) into 0 2.850 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify (+ 0 0) into 0 2.850 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify (+ 0 0) into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify (+ 0 0) into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify (+ 0 0) into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 2.851 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.851 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 2.851 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 2.851 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.851 * [taylor]: Taking taylor expansion of (sin x) in x 2.851 * [taylor]: Taking taylor expansion of x in x 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 1 into 1 2.852 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.852 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.852 * [taylor]: Taking taylor expansion of (sin x) in x 2.852 * [taylor]: Taking taylor expansion of x in x 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 1 into 1 2.852 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.853 * [backup-simplify]: Simplify (* 1 1) into 1 2.853 * [backup-simplify]: Simplify 1 into 1 2.853 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.853 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.855 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.855 * [backup-simplify]: Simplify -1/3 into -1/3 2.856 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.857 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 2.860 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.860 * [backup-simplify]: Simplify 2/45 into 2/45 2.860 * [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))) 2.860 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.860 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 2.860 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.860 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.860 * [taylor]: Taking taylor expansion of x in x 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 1 into 1 2.860 * [backup-simplify]: Simplify (/ 1 1) into 1 2.860 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.860 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.860 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.860 * [taylor]: Taking taylor expansion of x in x 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 1 into 1 2.861 * [backup-simplify]: Simplify (/ 1 1) into 1 2.861 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.861 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.861 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 2.861 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.861 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.862 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.863 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.864 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 2.865 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 2.865 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 2.865 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.865 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.865 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.865 * [taylor]: Taking taylor expansion of -1 in x 2.865 * [backup-simplify]: Simplify -1 into -1 2.865 * [taylor]: Taking taylor expansion of x in x 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [backup-simplify]: Simplify (/ -1 1) into -1 2.866 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.866 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.866 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.866 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.866 * [taylor]: Taking taylor expansion of -1 in x 2.866 * [backup-simplify]: Simplify -1 into -1 2.866 * [taylor]: Taking taylor expansion of x in x 2.866 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify 1 into 1 2.866 * [backup-simplify]: Simplify (/ -1 1) into -1 2.866 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.866 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.866 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 2.866 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.866 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.873 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 2.875 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.875 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.875 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 2.875 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 2.875 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.875 * [taylor]: Taking taylor expansion of (sin x) in x 2.875 * [taylor]: Taking taylor expansion of x in x 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.876 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.876 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.876 * [taylor]: Taking taylor expansion of (cos x) in x 2.876 * [taylor]: Taking taylor expansion of x in x 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 1 into 1 2.876 * [taylor]: Taking taylor expansion of 1 in x 2.876 * [backup-simplify]: Simplify 1 into 1 2.876 * [backup-simplify]: Simplify (* 1 1) into 1 2.876 * [backup-simplify]: Simplify (+ 1 1) into 2 2.877 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.877 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 2.877 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.877 * [taylor]: Taking taylor expansion of (sin x) in x 2.877 * [taylor]: Taking taylor expansion of x in x 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 1 into 1 2.877 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.877 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.877 * [taylor]: Taking taylor expansion of (cos x) in x 2.877 * [taylor]: Taking taylor expansion of x in x 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 1 into 1 2.877 * [taylor]: Taking taylor expansion of 1 in x 2.877 * [backup-simplify]: Simplify 1 into 1 2.878 * [backup-simplify]: Simplify (* 1 1) into 1 2.878 * [backup-simplify]: Simplify (+ 1 1) into 2 2.878 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.878 * [backup-simplify]: Simplify 1/2 into 1/2 2.879 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.879 * [backup-simplify]: Simplify (+ 0) into 0 2.880 * [backup-simplify]: Simplify (+ 0 0) into 0 2.880 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 2.880 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.882 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.882 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.883 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.884 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 2.884 * [backup-simplify]: Simplify -1/24 into -1/24 2.885 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.886 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.886 * [backup-simplify]: Simplify (+ 0 0) into 0 2.887 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 2.887 * [backup-simplify]: Simplify 0 into 0 2.889 * [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 2.890 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.892 * [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 2.892 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.893 * [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 2.893 * [backup-simplify]: Simplify 1/720 into 1/720 2.894 * [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))) 2.894 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.894 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 2.894 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 2.894 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.894 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.894 * [taylor]: Taking taylor expansion of x in x 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [backup-simplify]: Simplify (/ 1 1) into 1 2.894 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.894 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.894 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.894 * [taylor]: Taking taylor expansion of x in x 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.895 * [backup-simplify]: Simplify (/ 1 1) into 1 2.895 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.895 * [taylor]: Taking taylor expansion of 1 in x 2.895 * [backup-simplify]: Simplify 1 into 1 2.895 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.895 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.895 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.895 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 2.895 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.895 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.895 * [taylor]: Taking taylor expansion of x in x 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (/ 1 1) into 1 2.896 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.896 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.896 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.896 * [taylor]: Taking taylor expansion of x in x 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (/ 1 1) into 1 2.896 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.896 * [taylor]: Taking taylor expansion of 1 in x 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.896 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.897 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.897 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.897 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.897 * [backup-simplify]: Simplify (+ 0 0) into 0 2.897 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.898 * [backup-simplify]: Simplify (+ 0 0) into 0 2.898 * [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 2.898 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.899 * [backup-simplify]: Simplify (+ 0 0) into 0 2.899 * [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 2.899 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.901 * [backup-simplify]: Simplify (+ 0 0) into 0 2.901 * [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 2.901 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.902 * [backup-simplify]: Simplify (+ 0 0) into 0 2.903 * [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 2.903 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.904 * [backup-simplify]: Simplify (+ 0 0) into 0 2.905 * [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 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.905 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.905 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 2.905 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 2.905 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.905 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.905 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.905 * [taylor]: Taking taylor expansion of -1 in x 2.905 * [backup-simplify]: Simplify -1 into -1 2.905 * [taylor]: Taking taylor expansion of x in x 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify 1 into 1 2.906 * [backup-simplify]: Simplify (/ -1 1) into -1 2.906 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.906 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.906 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.906 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.906 * [taylor]: Taking taylor expansion of -1 in x 2.906 * [backup-simplify]: Simplify -1 into -1 2.906 * [taylor]: Taking taylor expansion of x in x 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 1 into 1 2.906 * [backup-simplify]: Simplify (/ -1 1) into -1 2.906 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.906 * [taylor]: Taking taylor expansion of 1 in x 2.906 * [backup-simplify]: Simplify 1 into 1 2.907 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.907 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.907 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.907 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 2.907 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.907 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.907 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.907 * [taylor]: Taking taylor expansion of -1 in x 2.907 * [backup-simplify]: Simplify -1 into -1 2.907 * [taylor]: Taking taylor expansion of x in x 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify (/ -1 1) into -1 2.908 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.908 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.908 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.908 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.908 * [taylor]: Taking taylor expansion of -1 in x 2.908 * [backup-simplify]: Simplify -1 into -1 2.908 * [taylor]: Taking taylor expansion of x in x 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify (/ -1 1) into -1 2.908 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.908 * [taylor]: Taking taylor expansion of 1 in x 2.908 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.909 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.909 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.909 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.909 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.909 * [backup-simplify]: Simplify (+ 0 0) into 0 2.910 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.910 * [backup-simplify]: Simplify (+ 0 0) into 0 2.910 * [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 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.911 * [backup-simplify]: Simplify (+ 0 0) into 0 2.912 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.913 * [backup-simplify]: Simplify (+ 0 0) into 0 2.913 * [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 2.913 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.915 * [backup-simplify]: Simplify (+ 0 0) into 0 2.915 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.917 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.918 * * * [progress]: simplifying candidates 2.918 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 2.918 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 2.919 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 40 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 2.921 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 2.921 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 86 / 127 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 2.922 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 2.923 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 118 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 2.925 * [simplify]: Simplifying: (- (- (+ (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))) (* (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))) (* 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))) (- (+ (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)) 2.927 * * [simplify]: iteration 0: 182 enodes 2.993 * * [simplify]: iteration 1: 507 enodes 3.222 * * [simplify]: iteration 2: 1801 enodes 3.926 * * [simplify]: iteration complete: 5012 enodes 3.926 * * [simplify]: Extracting #0: cost 95 inf + 0 3.929 * * [simplify]: Extracting #1: cost 794 inf + 2 3.940 * * [simplify]: Extracting #2: cost 1832 inf + 10398 3.978 * * [simplify]: Extracting #3: cost 1388 inf + 119445 4.059 * * [simplify]: Extracting #4: cost 308 inf + 410041 4.149 * * [simplify]: Extracting #5: cost 14 inf + 500720 4.278 * * [simplify]: Extracting #6: cost 0 inf + 503021 4.406 * [simplify]: Simplified to: (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (exp (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)))) (* (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)))) (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)))) (sqrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (sqrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (- (* (tan (/ x 2)) (sin x))) (* (- x) x) (/ 1/2 (+ (* x x) (* (* x x) (cos x)))) (/ (cos (+ x x)) (/ (+ (* x x) (* (* x x) (cos x))) 1/2)) (/ (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) x) (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sin x) (* (* (cbrt (+ 1 (cos x))) x) (cbrt (+ 1 (cos x))))) (/ (/ (sin x) (cbrt (+ 1 (cos x)))) 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) (/ (* (tan (/ x 2)) (sin x)) x) (* (/ (sin x) x) (sin x)) (/ (/ 1 x) (+ 1 (cos x))) (- (/ 1 (* (+ (* (cos x) (* (cos x) (cos x))) 1) x)) (/ (* (cos x) (cos x)) (* (+ (* (cos x) (* (cos x) (cos x))) 1) x))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) (/ (* (sin x) (sin x)) (* (* (sin x) (sin x)) x)) (/ (- 1 (cos x)) x) (/ (/ 1 x) x) (* (+ 1 (cos x)) (* (/ x (sin x)) (/ x (sin x)))) (/ (* (tan (/ x 2)) (sin x)) x) (/ x (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (/ (* x x) (sqrt (* (tan (/ x 2)) (sin x)))) (* (/ (* x x) (sin x)) (cbrt (+ 1 (cos x)))) (* (sqrt (+ 1 (cos x))) (/ (* x x) (sin x))) (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2))) (* (+ 1 (cos x)) (* (/ x (sin x)) (/ x (sin x)))) (+ (* x x) (* (* x x) (cos x))) (/ (* x x) (- (* (cos x) (cos x)) (- (cos x) 1))) (/ (* x x) (- 1 (cos x))) (+ (* x x) (* (* x x) (cos x))) (real->posit16 (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (exp (+ 1 (cos x))) (log (+ 1 (cos x))) (exp (+ 1 (cos x))) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))) (sqrt (+ 1 (cos x))) (sqrt (+ 1 (cos x))) (+ (* (cos x) (* (cos x) (cos x))) 1) (- (* (cos x) (cos x)) (- (cos x) 1)) (* (sin x) (sin x)) (- 1 (cos x)) (+ 1 (cos x)) (real->posit16 (+ 1 (cos x))) (* (cos (+ x x)) 1/2) (- 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)) (* (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))) (log (* (tan (/ x 2)) (sin x))) (log (* (tan (/ x 2)) (sin x))) (log (* (tan (/ x 2)) (sin x))) (exp (* (tan (/ x 2)) (sin x))) (* (* (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x))) (* (tan (/ x 2)) (sin x))) (* (* (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x))) (* (tan (/ x 2)) (sin x))) (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) (cbrt (* (tan (/ x 2)) (sin x))) (* (* (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x))) (* (tan (/ x 2)) (sin x))) (sqrt (* (tan (/ x 2)) (sin x))) (sqrt (* (tan (/ x 2)) (sin x))) (* (- (sin x)) (sin x)) (- -1 (cos x)) (/ 1/2 (+ 1 (cos x))) (* (/ 1/2 (+ 1 (cos x))) (cos (+ x x))) (/ (/ (sin x) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (sin x) (tan (/ x 2)) (sin x) (tan (/ x 2)) (/ 1 (+ 1 (cos x))) (/ (+ 1 (cos x)) (* (sin x) (sin x))) (* (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x))))) (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (* (sin x) (sin x)) (* (sin x) (sin x)) (/ (+ 1 (cos x)) (sin x)) (- (/ 1 (+ (* (cos x) (* (cos x) (cos x))) 1)) (/ (* (cos x) (cos x)) (+ (* (cos x) (* (cos x) (cos x))) 1))) (/ (* (sin x) (sin x)) (* (sin x) (sin x))) (+ (* (cos x) 2) 2) (real->posit16 (* (tan (/ x 2)) (sin x))) (+ (+ 1/2 (* (* (* x x) (* x x)) 1/720)) (* -1/24 (* x x))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (- (+ (* 1/24 (* (* x x) (* x x))) 2) (* (* x x) 1/2)) (+ (cos x) 1) (+ (cos x) 1) (+ (* 2/45 (* (* (* x x) (* x x)) (* x x))) (+ (* x x) (* -1/3 (* (* x x) (* x x))))) (* (sin x) (sin x)) (* (sin x) (sin x)) (+ (* (* x x) 1/2) (- (* 1/720 (* (* (* x x) (* x x)) (* x x))) (* 1/24 (* (* x x) (* x x))))) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) 4.418 * * * [progress]: adding candidates to table 4.859 * * [progress]: iteration 3 / 4 4.859 * * * [progress]: picking best candidate 4.875 * * * * [pick]: Picked # 4.875 * * * [progress]: localizing error 4.894 * * * [progress]: generating rewritten candidates 4.894 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 4.904 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 4.919 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.957 * * * [progress]: generating series expansions 4.958 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 4.958 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 4.958 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 4.958 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 4.958 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.960 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.960 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.960 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.960 * [taylor]: Taking taylor expansion of 1/2 in x 4.960 * [backup-simplify]: Simplify 1/2 into 1/2 4.960 * [taylor]: Taking taylor expansion of x in x 4.960 * [backup-simplify]: Simplify 0 into 0 4.960 * [backup-simplify]: Simplify 1 into 1 4.961 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.962 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.962 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.962 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.962 * [taylor]: Taking taylor expansion of 1/2 in x 4.962 * [backup-simplify]: Simplify 1/2 into 1/2 4.962 * [taylor]: Taking taylor expansion of x in x 4.962 * [backup-simplify]: Simplify 0 into 0 4.962 * [backup-simplify]: Simplify 1 into 1 4.962 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.963 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.964 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.964 * [taylor]: Taking taylor expansion of x in x 4.964 * [backup-simplify]: Simplify 0 into 0 4.964 * [backup-simplify]: Simplify 1 into 1 4.965 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.965 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 4.965 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.965 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.965 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.965 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.965 * [taylor]: Taking taylor expansion of 1/2 in x 4.965 * [backup-simplify]: Simplify 1/2 into 1/2 4.965 * [taylor]: Taking taylor expansion of x in x 4.965 * [backup-simplify]: Simplify 0 into 0 4.965 * [backup-simplify]: Simplify 1 into 1 4.966 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.966 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.966 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.966 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.966 * [taylor]: Taking taylor expansion of 1/2 in x 4.967 * [backup-simplify]: Simplify 1/2 into 1/2 4.967 * [taylor]: Taking taylor expansion of x in x 4.967 * [backup-simplify]: Simplify 0 into 0 4.967 * [backup-simplify]: Simplify 1 into 1 4.967 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.968 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.969 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.969 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.970 * [taylor]: Taking taylor expansion of x in x 4.970 * [backup-simplify]: Simplify 0 into 0 4.970 * [backup-simplify]: Simplify 1 into 1 4.970 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.970 * [backup-simplify]: Simplify 1/2 into 1/2 4.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.972 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.972 * [backup-simplify]: Simplify (+ 0) into 0 4.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.974 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.977 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 4.978 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 4.980 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 4.981 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 4.981 * [backup-simplify]: Simplify 1/24 into 1/24 4.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.984 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.987 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 4.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 4.990 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.993 * [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 4.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.996 * [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 4.997 * [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 4.998 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 4.998 * [backup-simplify]: Simplify 1/240 into 1/240 4.998 * [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)) 4.998 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 4.998 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 4.998 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 4.998 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.998 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.998 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.998 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.998 * [taylor]: Taking taylor expansion of 1/2 in x 4.998 * [backup-simplify]: Simplify 1/2 into 1/2 4.999 * [taylor]: Taking taylor expansion of x in x 4.999 * [backup-simplify]: Simplify 0 into 0 4.999 * [backup-simplify]: Simplify 1 into 1 4.999 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.999 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.999 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.999 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.999 * [taylor]: Taking taylor expansion of 1/2 in x 4.999 * [backup-simplify]: Simplify 1/2 into 1/2 4.999 * [taylor]: Taking taylor expansion of x in x 4.999 * [backup-simplify]: Simplify 0 into 0 4.999 * [backup-simplify]: Simplify 1 into 1 4.999 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.999 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.999 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.999 * [taylor]: Taking taylor expansion of x in x 4.999 * [backup-simplify]: Simplify 0 into 0 4.999 * [backup-simplify]: Simplify 1 into 1 4.999 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 4.999 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.000 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.000 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.000 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.000 * [taylor]: Taking taylor expansion of 1/2 in x 5.000 * [backup-simplify]: Simplify 1/2 into 1/2 5.000 * [taylor]: Taking taylor expansion of x in x 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify 1 into 1 5.000 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.000 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.000 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.000 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.000 * [taylor]: Taking taylor expansion of 1/2 in x 5.000 * [backup-simplify]: Simplify 1/2 into 1/2 5.000 * [taylor]: Taking taylor expansion of x in x 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify 1 into 1 5.000 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.000 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.000 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.000 * [taylor]: Taking taylor expansion of x in x 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify 1 into 1 5.001 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 5.001 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 5.001 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.001 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.002 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.002 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 5.002 * [backup-simplify]: Simplify 0 into 0 5.002 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.003 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.003 * [backup-simplify]: Simplify 0 into 0 5.003 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.004 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.005 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.005 * [backup-simplify]: Simplify 0 into 0 5.005 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.006 * [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 5.006 * [backup-simplify]: Simplify 0 into 0 5.006 * [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 5.007 * [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 5.007 * [backup-simplify]: Simplify 0 into 0 5.007 * [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)) 5.007 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 5.007 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 5.007 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 5.007 * [taylor]: Taking taylor expansion of -1 in x 5.007 * [backup-simplify]: Simplify -1 into -1 5.007 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 5.007 * [taylor]: Taking taylor expansion of x in x 5.007 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.008 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.008 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.008 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.008 * [taylor]: Taking taylor expansion of -1/2 in x 5.008 * [backup-simplify]: Simplify -1/2 into -1/2 5.008 * [taylor]: Taking taylor expansion of x in x 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.008 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.008 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.008 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.008 * [taylor]: Taking taylor expansion of -1/2 in x 5.008 * [backup-simplify]: Simplify -1/2 into -1/2 5.008 * [taylor]: Taking taylor expansion of x in x 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.008 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.009 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.009 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 5.009 * [taylor]: Taking taylor expansion of -1 in x 5.009 * [backup-simplify]: Simplify -1 into -1 5.009 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 5.009 * [taylor]: Taking taylor expansion of x in x 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 1 into 1 5.009 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.009 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.009 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.009 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.009 * [taylor]: Taking taylor expansion of -1/2 in x 5.009 * [backup-simplify]: Simplify -1/2 into -1/2 5.009 * [taylor]: Taking taylor expansion of x in x 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 1 into 1 5.009 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.009 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.009 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.009 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.009 * [taylor]: Taking taylor expansion of -1/2 in x 5.009 * [backup-simplify]: Simplify -1/2 into -1/2 5.009 * [taylor]: Taking taylor expansion of x in x 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 1 into 1 5.009 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.010 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.010 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.010 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 5.010 * [backup-simplify]: Simplify (* -1 0) into 0 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 5.011 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.011 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 5.011 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 5.011 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 5.012 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 5.012 * [backup-simplify]: Simplify 0 into 0 5.013 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 5.014 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 5.014 * [backup-simplify]: Simplify 0 into 0 5.014 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 5.016 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 5.016 * [backup-simplify]: Simplify 0 into 0 5.017 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 5.019 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 5.019 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.021 * [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 5.023 * [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 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [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)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.025 * [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 5.028 * [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 5.028 * [backup-simplify]: Simplify 0 into 0 5.028 * [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)) 5.028 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 5.028 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 5.029 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 5.029 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 5.029 * [taylor]: Taking taylor expansion of (sin x) in x 5.029 * [taylor]: Taking taylor expansion of x in x 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 1 into 1 5.029 * [taylor]: Taking taylor expansion of x in x 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 1 into 1 5.029 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.030 * [backup-simplify]: Simplify (/ 1 1) into 1 5.030 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 5.030 * [taylor]: Taking taylor expansion of (sin x) in x 5.030 * [taylor]: Taking taylor expansion of x in x 5.030 * [backup-simplify]: Simplify 0 into 0 5.030 * [backup-simplify]: Simplify 1 into 1 5.030 * [taylor]: Taking taylor expansion of x in x 5.030 * [backup-simplify]: Simplify 0 into 0 5.030 * [backup-simplify]: Simplify 1 into 1 5.031 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.031 * [backup-simplify]: Simplify (/ 1 1) into 1 5.031 * [backup-simplify]: Simplify 1 into 1 5.032 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 5.033 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 5.036 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 5.036 * [backup-simplify]: Simplify -1/6 into -1/6 5.037 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 5.038 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 5.044 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 5.044 * [backup-simplify]: Simplify 1/120 into 1/120 5.044 * [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))) 5.044 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 5.044 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 5.044 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 5.044 * [taylor]: Taking taylor expansion of x in x 5.044 * [backup-simplify]: Simplify 0 into 0 5.045 * [backup-simplify]: Simplify 1 into 1 5.045 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.045 * [taylor]: Taking taylor expansion of x in x 5.045 * [backup-simplify]: Simplify 0 into 0 5.045 * [backup-simplify]: Simplify 1 into 1 5.045 * [backup-simplify]: Simplify (/ 1 1) into 1 5.045 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.045 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 5.045 * [taylor]: Taking taylor expansion of x in x 5.045 * [backup-simplify]: Simplify 0 into 0 5.045 * [backup-simplify]: Simplify 1 into 1 5.045 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.045 * [taylor]: Taking taylor expansion of x in x 5.045 * [backup-simplify]: Simplify 0 into 0 5.045 * [backup-simplify]: Simplify 1 into 1 5.046 * [backup-simplify]: Simplify (/ 1 1) into 1 5.046 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.046 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 5.046 * [backup-simplify]: Simplify 0 into 0 5.047 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 5.047 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 5.048 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 5.049 * [backup-simplify]: Simplify 0 into 0 5.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 5.050 * [backup-simplify]: Simplify 0 into 0 5.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 5.053 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 5.055 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 5.058 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 5.058 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 5.058 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 5.058 * [taylor]: Taking taylor expansion of -1 in x 5.058 * [backup-simplify]: Simplify -1 into -1 5.058 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 5.058 * [taylor]: Taking taylor expansion of x in x 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.058 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.058 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.058 * [taylor]: Taking taylor expansion of -1 in x 5.058 * [backup-simplify]: Simplify -1 into -1 5.058 * [taylor]: Taking taylor expansion of x in x 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.059 * [backup-simplify]: Simplify (/ -1 1) into -1 5.059 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.059 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 5.059 * [taylor]: Taking taylor expansion of -1 in x 5.059 * [backup-simplify]: Simplify -1 into -1 5.059 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 5.059 * [taylor]: Taking taylor expansion of x in x 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify 1 into 1 5.059 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.059 * [taylor]: Taking taylor expansion of -1 in x 5.059 * [backup-simplify]: Simplify -1 into -1 5.059 * [taylor]: Taking taylor expansion of x in x 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify 1 into 1 5.060 * [backup-simplify]: Simplify (/ -1 1) into -1 5.060 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.060 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 5.060 * [backup-simplify]: Simplify (* -1 0) into 0 5.060 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 5.061 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 5.061 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 5.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 5.063 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 5.063 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 5.066 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 5.066 * [backup-simplify]: Simplify 0 into 0 5.067 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 5.074 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 5.074 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 5.077 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 5.077 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 5.080 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 5.080 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 5.083 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 5.083 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 5.083 * * * * [progress]: [ 3 / 3 ] generating series at (2) 5.084 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 5.084 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 5.084 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 5.084 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 5.084 * [taylor]: Taking taylor expansion of (sin x) in x 5.084 * [taylor]: Taking taylor expansion of x in x 5.084 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify 1 into 1 5.084 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.084 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.084 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.084 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.084 * [taylor]: Taking taylor expansion of 1/2 in x 5.084 * [backup-simplify]: Simplify 1/2 into 1/2 5.084 * [taylor]: Taking taylor expansion of x in x 5.084 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify 1 into 1 5.084 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.085 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.085 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.085 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.085 * [taylor]: Taking taylor expansion of 1/2 in x 5.085 * [backup-simplify]: Simplify 1/2 into 1/2 5.085 * [taylor]: Taking taylor expansion of x in x 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify 1 into 1 5.085 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.085 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.086 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.086 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.086 * [taylor]: Taking taylor expansion of x in x 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify 1 into 1 5.087 * [backup-simplify]: Simplify (* 0 1/2) into 0 5.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.088 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.088 * [backup-simplify]: Simplify (+ 0) into 0 5.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.089 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.090 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 5.090 * [backup-simplify]: Simplify (* 1 1) into 1 5.091 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.091 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 5.091 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 5.091 * [taylor]: Taking taylor expansion of (sin x) in x 5.091 * [taylor]: Taking taylor expansion of x in x 5.091 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify 1 into 1 5.091 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.091 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.091 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.091 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.091 * [taylor]: Taking taylor expansion of 1/2 in x 5.091 * [backup-simplify]: Simplify 1/2 into 1/2 5.091 * [taylor]: Taking taylor expansion of x in x 5.091 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify 1 into 1 5.091 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.092 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.092 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.092 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.092 * [taylor]: Taking taylor expansion of 1/2 in x 5.092 * [backup-simplify]: Simplify 1/2 into 1/2 5.092 * [taylor]: Taking taylor expansion of x in x 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 1 into 1 5.092 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.093 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.093 * [taylor]: Taking taylor expansion of x in x 5.093 * [backup-simplify]: Simplify 0 into 0 5.094 * [backup-simplify]: Simplify 1 into 1 5.094 * [backup-simplify]: Simplify (* 0 1/2) into 0 5.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.095 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.095 * [backup-simplify]: Simplify (+ 0) into 0 5.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.096 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.097 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 5.097 * [backup-simplify]: Simplify (* 1 1) into 1 5.098 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.098 * [backup-simplify]: Simplify 1/2 into 1/2 5.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.101 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 5.102 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 5.103 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 5.104 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.105 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 5.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.107 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.110 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.113 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 5.116 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 5.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 5.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.119 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 5.119 * [backup-simplify]: Simplify -1/24 into -1/24 5.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.125 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 5.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.130 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 5.132 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 5.134 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.137 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 5.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 5.139 * [backup-simplify]: Simplify 0 into 0 5.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.146 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.151 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 5.157 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 5.158 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 5.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.160 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 5.160 * [backup-simplify]: Simplify 1/720 into 1/720 5.160 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 5.160 * [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)))) 5.160 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 5.160 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 5.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.161 * [taylor]: Taking taylor expansion of x in x 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify 1 into 1 5.161 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 5.161 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.161 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.161 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.161 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.161 * [taylor]: Taking taylor expansion of 1/2 in x 5.161 * [backup-simplify]: Simplify 1/2 into 1/2 5.161 * [taylor]: Taking taylor expansion of x in x 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify 1 into 1 5.161 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.161 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.161 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.161 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.161 * [taylor]: Taking taylor expansion of 1/2 in x 5.161 * [backup-simplify]: Simplify 1/2 into 1/2 5.161 * [taylor]: Taking taylor expansion of x in x 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify 1 into 1 5.161 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.162 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.162 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.162 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.162 * [taylor]: Taking taylor expansion of x in x 5.162 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify 1 into 1 5.162 * [backup-simplify]: Simplify (/ 1 1) into 1 5.162 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.162 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 5.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.162 * [taylor]: Taking taylor expansion of x in x 5.162 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify 1 into 1 5.162 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 5.162 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.162 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.162 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.162 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.162 * [taylor]: Taking taylor expansion of 1/2 in x 5.162 * [backup-simplify]: Simplify 1/2 into 1/2 5.162 * [taylor]: Taking taylor expansion of x in x 5.162 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify 1 into 1 5.162 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.163 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.163 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.163 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.163 * [taylor]: Taking taylor expansion of 1/2 in x 5.163 * [backup-simplify]: Simplify 1/2 into 1/2 5.163 * [taylor]: Taking taylor expansion of x in x 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify 1 into 1 5.163 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.163 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.163 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.163 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.163 * [taylor]: Taking taylor expansion of x in x 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify 1 into 1 5.163 * [backup-simplify]: Simplify (/ 1 1) into 1 5.163 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.164 * [backup-simplify]: Simplify (* 1 1) into 1 5.164 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5.164 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5.164 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5.164 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 5.164 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 5.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.166 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 5.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 5.167 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.168 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 5.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.170 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 5.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.173 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 5.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 5.175 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.177 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 5.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 5.179 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 5.180 * [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)))) 5.180 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 5.180 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 5.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.180 * [taylor]: Taking taylor expansion of x in x 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify 1 into 1 5.180 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 5.180 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.180 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.180 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.180 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.180 * [taylor]: Taking taylor expansion of -1/2 in x 5.180 * [backup-simplify]: Simplify -1/2 into -1/2 5.180 * [taylor]: Taking taylor expansion of x in x 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify 1 into 1 5.180 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.180 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.180 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.180 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.180 * [taylor]: Taking taylor expansion of -1/2 in x 5.180 * [backup-simplify]: Simplify -1/2 into -1/2 5.180 * [taylor]: Taking taylor expansion of x in x 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify 1 into 1 5.181 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.181 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.181 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.181 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.181 * [taylor]: Taking taylor expansion of -1 in x 5.181 * [backup-simplify]: Simplify -1 into -1 5.181 * [taylor]: Taking taylor expansion of x in x 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify 1 into 1 5.181 * [backup-simplify]: Simplify (/ -1 1) into -1 5.181 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.181 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 5.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.181 * [taylor]: Taking taylor expansion of x in x 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify 1 into 1 5.181 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 5.181 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.181 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.181 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.181 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.181 * [taylor]: Taking taylor expansion of -1/2 in x 5.181 * [backup-simplify]: Simplify -1/2 into -1/2 5.181 * [taylor]: Taking taylor expansion of x in x 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify 1 into 1 5.182 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.182 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.182 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.182 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.182 * [taylor]: Taking taylor expansion of -1/2 in x 5.182 * [backup-simplify]: Simplify -1/2 into -1/2 5.182 * [taylor]: Taking taylor expansion of x in x 5.182 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify 1 into 1 5.182 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.182 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.182 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.182 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.182 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.182 * [taylor]: Taking taylor expansion of -1 in x 5.182 * [backup-simplify]: Simplify -1 into -1 5.182 * [taylor]: Taking taylor expansion of x in x 5.182 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify 1 into 1 5.183 * [backup-simplify]: Simplify (/ -1 1) into -1 5.183 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.183 * [backup-simplify]: Simplify (* 1 1) into 1 5.183 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5.183 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5.183 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5.183 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 5.184 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 5.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.186 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 5.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.190 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 5.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 5.591 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.592 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 5.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 5.594 * [backup-simplify]: Simplify 0 into 0 5.594 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.595 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 5.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 5.597 * [backup-simplify]: Simplify 0 into 0 5.597 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.598 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 5.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 5.601 * [backup-simplify]: Simplify 0 into 0 5.601 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 5.601 * * * [progress]: simplifying candidates 5.601 * * * * [progress]: [ 1 / 117 ] simplifiying candidate # 5.601 * * * * [progress]: [ 2 / 117 ] simplifiying candidate # 5.602 * * * * [progress]: [ 3 / 117 ] simplifiying candidate # 5.602 * * * * [progress]: [ 4 / 117 ] simplifiying candidate # 5.602 * * * * [progress]: [ 5 / 117 ] simplifiying candidate # 5.602 * * * * [progress]: [ 6 / 117 ] simplifiying candidate # 5.602 * * * * [progress]: [ 7 / 117 ] simplifiying candidate # 5.602 * * * * [progress]: [ 8 / 117 ] simplifiying candidate # 5.602 * * * * [progress]: [ 9 / 117 ] simplifiying candidate # 5.602 * * * * [progress]: [ 10 / 117 ] simplifiying candidate # 5.602 * * * * [progress]: [ 11 / 117 ] simplifiying candidate # 5.602 * * * * [progress]: [ 12 / 117 ] simplifiying 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28 / 117 ] simplifiying candidate # 5.602 * * * * [progress]: [ 29 / 117 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))))> 5.603 * * * * [progress]: [ 30 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 31 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 32 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 33 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 34 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 35 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 36 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 37 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 38 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 39 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 40 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 41 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 42 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 43 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 44 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 45 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 46 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 47 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 48 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 49 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 50 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 51 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 52 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 53 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 54 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 55 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 56 / 117 ] simplifiying candidate # 5.603 * * * * [progress]: [ 57 / 117 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))> 5.604 * * * * [progress]: [ 58 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 59 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 60 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 61 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 62 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 63 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 64 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 65 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 66 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 67 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 68 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 69 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 70 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 71 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 72 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 73 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 74 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 75 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 76 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 77 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 78 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 79 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 80 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 81 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 82 / 117 ] simplifiying candidate # 5.604 * * * * [progress]: [ 83 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 84 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 85 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 86 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 87 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 88 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 89 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 90 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 91 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 92 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 93 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 94 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 95 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 96 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 97 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 98 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 99 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 100 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 101 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 102 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 103 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 104 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 105 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 106 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 107 / 117 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))> 5.605 * * * * [progress]: [ 108 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 109 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 110 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 111 / 117 ] simplifiying candidate # 5.605 * * * * [progress]: [ 112 / 117 ] simplifiying candidate # 5.606 * * * * [progress]: [ 113 / 117 ] simplifiying candidate # 5.606 * * * * [progress]: [ 114 / 117 ] simplifiying candidate # 5.606 * * * * [progress]: [ 115 / 117 ] simplifiying candidate # 5.606 * * * * [progress]: [ 116 / 117 ] simplifiying candidate # 5.606 * * * * [progress]: [ 117 / 117 ] simplifiying candidate # 5.607 * [simplify]: Simplifying: (- (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)) (- (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)) (* (/ (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))) 5.608 * * [simplify]: iteration 0: 166 enodes 5.646 * * [simplify]: iteration 1: 448 enodes 5.796 * * [simplify]: iteration 2: 1632 enodes 6.851 * * [simplify]: iteration complete: 5000 enodes 6.851 * * [simplify]: Extracting #0: cost 101 inf + 0 6.853 * * [simplify]: Extracting #1: cost 675 inf + 1 6.863 * * [simplify]: Extracting #2: cost 1486 inf + 90 6.872 * * [simplify]: Extracting #3: cost 1464 inf + 14249 6.900 * * [simplify]: Extracting #4: cost 706 inf + 207022 6.963 * * [simplify]: Extracting #5: cost 54 inf + 421456 7.039 * * [simplify]: Extracting #6: cost 0 inf + 442136 7.126 * [simplify]: Simplified to: (log (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (/ (cbrt (tan (/ x 2))) (sqrt x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (cbrt (tan (/ x 2))) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (tan (/ x 2))) (/ (sqrt (tan (/ x 2))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) 1 (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (sqrt x)) (tan (/ x 2)) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* x (cos (/ x 2))) (real->posit16 (/ (tan (/ x 2)) 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)) (* (/ (tan (/ x 2)) x) (/ (sin x) x)) (log (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (log (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (log (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (log (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (log (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (exp (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (* (* (* (/ (tan (/ x 2)) x) (/ (sin x) x)) (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (* (* (* (/ (tan (/ x 2)) x) (/ (sin x) x)) (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (* (* (* (/ (tan (/ x 2)) x) (/ (sin x) x)) (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (* (* (* (/ (tan (/ x 2)) x) (/ (sin x) x)) (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (* (cbrt (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (cbrt (* (/ (tan (/ x 2)) x) (/ (sin x) x)))) (cbrt (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (* (* (* (/ (tan (/ x 2)) x) (/ (sin x) x)) (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (sqrt (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (sqrt (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (* (tan (/ x 2)) (sin x)) (* 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 (/ (tan (/ x 2)) x))) (sqrt x)) (/ (* (sqrt (sin x)) (sqrt (/ (tan (/ x 2)) x))) (sqrt x)) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (sin x)) (sqrt x))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (sin x)) (sqrt x))) (/ (* (* (sin x) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x))) x) (* (sqrt (/ (tan (/ x 2)) x)) (/ (sin x) x)) (/ (/ (sin x) x) (* (/ (cbrt x) (cbrt (tan (/ x 2)))) (/ (cbrt x) (cbrt (tan (/ x 2)))))) (/ (* (/ (sin x) x) (cbrt (tan (/ x 2)))) (/ (sqrt x) (cbrt (tan (/ x 2))))) (* (/ (sin x) x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (/ (* (/ (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)))) (/ (/ (/ (sin x) x) (cbrt x)) (cbrt x)) (/ (/ (sin x) (sqrt x)) x) (/ (sin x) x) (/ (sin x) x) (* (sin x) (/ (tan (/ x 2)) x)) (/ (cbrt (/ (sin x) x)) (/ x (tan (/ x 2)))) (* (/ (tan (/ x 2)) x) (sqrt (/ (sin x) x))) (/ (* (/ (tan (/ x 2)) x) (cbrt (sin x))) (cbrt x)) (/ (* (cbrt (sin x)) (/ (tan (/ x 2)) x)) (sqrt x)) (/ (* (/ (tan (/ x 2)) x) (cbrt (sin x))) x) (/ (* (sqrt (sin x)) (/ (tan (/ x 2)) x)) (cbrt x)) (/ (sqrt (sin x)) (/ (sqrt x) (/ (tan (/ x 2)) x))) (/ (* (sqrt (sin x)) (/ (tan (/ x 2)) x)) x) (/ (/ (sin x) (cbrt x)) (/ x (tan (/ x 2)))) (/ (* (sin x) (/ (tan (/ x 2)) x)) (sqrt x)) (* (/ (tan (/ x 2)) x) (/ (sin x) x)) (* (/ (tan (/ x 2)) x) (/ (sin x) x)) (/ (/ (tan (/ x 2)) x) x) (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x)) (real->posit16 (* (/ (tan (/ x 2)) x) (/ (sin x) x))) (+ (* 1/24 (* x x)) (+ (* (* 1/240 (* x x)) (* x x)) 1/2)) (/ (sin (* x 1/2)) (* (cos (* x 1/2)) x)) (/ (sin (* x 1/2)) (* (cos (* x 1/2)) x)) (+ 1 (+ (* 1/120 (* (* x x) (* x x))) (* -1/6 (* x x)))) (/ (sin x) x) (/ (sin x) x) (+ (+ 1/2 (* (* (* x x) (* x x)) 1/720)) (* (* x x) -1/24)) (* (/ (sin x) (* x x)) (/ (sin (* x 1/2)) (cos (* x 1/2)))) (* (/ (sin x) (* x x)) (/ (sin (* x 1/2)) (cos (* x 1/2)))) 7.136 * * * [progress]: adding candidates to table 7.527 * * [progress]: iteration 4 / 4 7.527 * * * [progress]: picking best candidate 7.538 * * * * [pick]: Picked # 7.538 * * * [progress]: localizing error 7.561 * * * [progress]: generating rewritten candidates 7.561 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 7.572 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 7.590 * * * [progress]: generating series expansions 7.590 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 7.591 * [backup-simplify]: Simplify (/ (* x x) (tan (/ x 2))) into (/ (pow x 2) (tan (* 1/2 x))) 7.591 * [approximate]: Taking taylor expansion of (/ (pow x 2) (tan (* 1/2 x))) in (x) around 0 7.591 * [taylor]: Taking taylor expansion of (/ (pow x 2) (tan (* 1/2 x))) in x 7.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.591 * [taylor]: Taking taylor expansion of x in x 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify 1 into 1 7.591 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.591 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.591 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.591 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.591 * [taylor]: Taking taylor expansion of 1/2 in x 7.591 * [backup-simplify]: Simplify 1/2 into 1/2 7.591 * [taylor]: Taking taylor expansion of x in x 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify 1 into 1 7.591 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.592 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.592 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.592 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.592 * [taylor]: Taking taylor expansion of 1/2 in x 7.592 * [backup-simplify]: Simplify 1/2 into 1/2 7.592 * [taylor]: Taking taylor expansion of x in x 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 1 into 1 7.592 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.593 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.593 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.593 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.594 * [backup-simplify]: Simplify (* 1 1) into 1 7.594 * [backup-simplify]: Simplify (/ 1 1/2) into 2 7.594 * [taylor]: Taking taylor expansion of (/ (pow x 2) (tan (* 1/2 x))) in x 7.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.594 * [taylor]: Taking taylor expansion of x in x 7.594 * [backup-simplify]: Simplify 0 into 0 7.594 * [backup-simplify]: Simplify 1 into 1 7.594 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.594 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.594 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.594 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.594 * [taylor]: Taking taylor expansion of 1/2 in x 7.594 * [backup-simplify]: Simplify 1/2 into 1/2 7.594 * [taylor]: Taking taylor expansion of x in x 7.594 * [backup-simplify]: Simplify 0 into 0 7.594 * [backup-simplify]: Simplify 1 into 1 7.595 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.595 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.595 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.595 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.595 * [taylor]: Taking taylor expansion of 1/2 in x 7.595 * [backup-simplify]: Simplify 1/2 into 1/2 7.595 * [taylor]: Taking taylor expansion of x in x 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 1 into 1 7.595 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.596 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.596 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.596 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.597 * [backup-simplify]: Simplify (* 1 1) into 1 7.597 * [backup-simplify]: Simplify (/ 1 1/2) into 2 7.597 * [backup-simplify]: Simplify 2 into 2 7.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.598 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.599 * [backup-simplify]: Simplify (+ 0) into 0 7.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.600 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)))) into 0 7.600 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.602 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 7.602 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 7.603 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 7.604 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 1/24 1/2)) (* 0 (/ 0 1/2)))) into -1/6 7.604 * [backup-simplify]: Simplify -1/6 into -1/6 7.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.606 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.607 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.608 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 7.609 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)) (* 0 (/ 1/24 1/2)) (* -1/6 (/ 0 1/2)))) into 0 7.609 * [backup-simplify]: Simplify 0 into 0 7.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.613 * [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 7.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.615 * [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 7.617 * [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 7.618 * [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 7.618 * [backup-simplify]: Simplify -1/360 into -1/360 7.618 * [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)))) 7.618 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (tan (/ (/ 1 x) 2))) into (/ 1 (* (pow x 2) (tan (/ 1/2 x)))) 7.618 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ 1/2 x)))) in (x) around 0 7.618 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ 1/2 x)))) in x 7.618 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ 1/2 x))) in x 7.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.618 * [taylor]: Taking taylor expansion of x in x 7.618 * [backup-simplify]: Simplify 0 into 0 7.618 * [backup-simplify]: Simplify 1 into 1 7.618 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.618 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.618 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.618 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.618 * [taylor]: Taking taylor expansion of 1/2 in x 7.618 * [backup-simplify]: Simplify 1/2 into 1/2 7.618 * [taylor]: Taking taylor expansion of x in x 7.618 * [backup-simplify]: Simplify 0 into 0 7.618 * [backup-simplify]: Simplify 1 into 1 7.623 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.623 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.623 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.623 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.623 * [taylor]: Taking taylor expansion of 1/2 in x 7.623 * [backup-simplify]: Simplify 1/2 into 1/2 7.623 * [taylor]: Taking taylor expansion of x in x 7.623 * [backup-simplify]: Simplify 0 into 0 7.623 * [backup-simplify]: Simplify 1 into 1 7.623 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.623 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.623 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.624 * [backup-simplify]: Simplify (* 1 1) into 1 7.624 * [backup-simplify]: Simplify (* 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.624 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) 7.624 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ 1/2 x)))) in x 7.624 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ 1/2 x))) in x 7.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.624 * [taylor]: Taking taylor expansion of x in x 7.624 * [backup-simplify]: Simplify 0 into 0 7.624 * [backup-simplify]: Simplify 1 into 1 7.624 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.624 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.624 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.624 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.624 * [taylor]: Taking taylor expansion of 1/2 in x 7.624 * [backup-simplify]: Simplify 1/2 into 1/2 7.624 * [taylor]: Taking taylor expansion of x in x 7.624 * [backup-simplify]: Simplify 0 into 0 7.624 * [backup-simplify]: Simplify 1 into 1 7.625 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.625 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.625 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.625 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.625 * [taylor]: Taking taylor expansion of 1/2 in x 7.625 * [backup-simplify]: Simplify 1/2 into 1/2 7.625 * [taylor]: Taking taylor expansion of x in x 7.625 * [backup-simplify]: Simplify 0 into 0 7.625 * [backup-simplify]: Simplify 1 into 1 7.625 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.625 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.625 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.625 * [backup-simplify]: Simplify (* 1 1) into 1 7.625 * [backup-simplify]: Simplify (* 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.626 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) 7.626 * [backup-simplify]: Simplify (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) 7.626 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 7.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0 7.627 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0 7.627 * [backup-simplify]: Simplify 0 into 0 7.627 * [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 7.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0 7.629 * [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 7.629 * [backup-simplify]: Simplify 0 into 0 7.629 * [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 7.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0 7.630 * [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 7.630 * [backup-simplify]: Simplify 0 into 0 7.631 * [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 7.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0 7.633 * [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 7.633 * [backup-simplify]: Simplify 0 into 0 7.633 * [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 7.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0 7.636 * [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 7.636 * [backup-simplify]: Simplify 0 into 0 7.636 * [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 7.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.639 * [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 7.640 * [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 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [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))) 7.640 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) into (/ 1 (* (pow x 2) (tan (/ -1/2 x)))) 7.640 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ -1/2 x)))) in (x) around 0 7.640 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ -1/2 x)))) in x 7.640 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ -1/2 x))) in x 7.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.640 * [taylor]: Taking taylor expansion of x in x 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 1 into 1 7.640 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.640 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.640 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.640 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.640 * [taylor]: Taking taylor expansion of -1/2 in x 7.640 * [backup-simplify]: Simplify -1/2 into -1/2 7.640 * [taylor]: Taking taylor expansion of x in x 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 1 into 1 7.640 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.641 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.641 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.641 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.641 * [taylor]: Taking taylor expansion of -1/2 in x 7.641 * [backup-simplify]: Simplify -1/2 into -1/2 7.641 * [taylor]: Taking taylor expansion of x in x 7.641 * [backup-simplify]: Simplify 0 into 0 7.641 * [backup-simplify]: Simplify 1 into 1 7.641 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.641 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.641 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.641 * [backup-simplify]: Simplify (* 1 1) into 1 7.642 * [backup-simplify]: Simplify (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.642 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) 7.642 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ -1/2 x)))) in x 7.642 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ -1/2 x))) in x 7.642 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.642 * [taylor]: Taking taylor expansion of x in x 7.642 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify 1 into 1 7.642 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.642 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.642 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.642 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.642 * [taylor]: Taking taylor expansion of -1/2 in x 7.642 * [backup-simplify]: Simplify -1/2 into -1/2 7.642 * [taylor]: Taking taylor expansion of x in x 7.642 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify 1 into 1 7.642 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.642 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.642 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.642 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.642 * [taylor]: Taking taylor expansion of -1/2 in x 7.642 * [backup-simplify]: Simplify -1/2 into -1/2 7.642 * [taylor]: Taking taylor expansion of x in x 7.642 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify 1 into 1 7.643 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.643 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.643 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.643 * [backup-simplify]: Simplify (* 1 1) into 1 7.643 * [backup-simplify]: Simplify (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.643 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) 7.643 * [backup-simplify]: Simplify (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) into (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) 7.643 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 7.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0 7.644 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 7.644 * [backup-simplify]: Simplify 0 into 0 7.645 * [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 7.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 7.646 * [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 7.646 * [backup-simplify]: Simplify 0 into 0 7.646 * [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 7.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 7.648 * [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 7.648 * [backup-simplify]: Simplify 0 into 0 7.648 * [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 7.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 7.651 * [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 7.651 * [backup-simplify]: Simplify 0 into 0 7.651 * [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 7.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 7.653 * [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 7.653 * [backup-simplify]: Simplify 0 into 0 7.654 * [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 7.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.656 * [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 7.657 * [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 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [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))) 7.657 * * * * [progress]: [ 2 / 2 ] generating series at (2) 7.657 * [backup-simplify]: Simplify (/ (/ (sin x) 1) (/ (* x x) (tan (/ x 2)))) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 7.657 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 7.657 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 7.657 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 7.657 * [taylor]: Taking taylor expansion of (sin x) in x 7.657 * [taylor]: Taking taylor expansion of x in x 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify 1 into 1 7.657 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.657 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.657 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.657 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.657 * [taylor]: Taking taylor expansion of 1/2 in x 7.657 * [backup-simplify]: Simplify 1/2 into 1/2 7.657 * [taylor]: Taking taylor expansion of x in x 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify 1 into 1 7.658 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.658 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.658 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.658 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.658 * [taylor]: Taking taylor expansion of 1/2 in x 7.658 * [backup-simplify]: Simplify 1/2 into 1/2 7.658 * [taylor]: Taking taylor expansion of x in x 7.658 * [backup-simplify]: Simplify 0 into 0 7.658 * [backup-simplify]: Simplify 1 into 1 7.659 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.659 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.659 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.660 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.660 * [taylor]: Taking taylor expansion of x in x 7.660 * [backup-simplify]: Simplify 0 into 0 7.660 * [backup-simplify]: Simplify 1 into 1 7.660 * [backup-simplify]: Simplify (* 0 1/2) into 0 7.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.661 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.661 * [backup-simplify]: Simplify (+ 0) into 0 7.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.663 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 7.663 * [backup-simplify]: Simplify (* 1 1) into 1 7.663 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.663 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 7.663 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 7.663 * [taylor]: Taking taylor expansion of (sin x) in x 7.663 * [taylor]: Taking taylor expansion of x in x 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify 1 into 1 7.663 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.663 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.663 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.663 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.663 * [taylor]: Taking taylor expansion of 1/2 in x 7.663 * [backup-simplify]: Simplify 1/2 into 1/2 7.663 * [taylor]: Taking taylor expansion of x in x 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify 1 into 1 7.664 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.664 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.664 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.664 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.664 * [taylor]: Taking taylor expansion of 1/2 in x 7.664 * [backup-simplify]: Simplify 1/2 into 1/2 7.664 * [taylor]: Taking taylor expansion of x in x 7.664 * [backup-simplify]: Simplify 0 into 0 7.664 * [backup-simplify]: Simplify 1 into 1 7.664 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.665 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.665 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.666 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.666 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.666 * [taylor]: Taking taylor expansion of x in x 7.666 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify 1 into 1 7.666 * [backup-simplify]: Simplify (* 0 1/2) into 0 7.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.667 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.667 * [backup-simplify]: Simplify (+ 0) into 0 7.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.668 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.669 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 7.669 * [backup-simplify]: Simplify (* 1 1) into 1 7.669 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.669 * [backup-simplify]: Simplify 1/2 into 1/2 7.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.671 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 7.671 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 7.672 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 7.673 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.673 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 7.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.674 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.676 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.677 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 7.679 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 7.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.681 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 7.681 * [backup-simplify]: Simplify -1/24 into -1/24 7.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.684 * [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 7.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.687 * [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 7.689 * [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 7.690 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.692 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 7.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 7.693 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.697 * [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 7.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.699 * [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 7.700 * [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 7.702 * [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 7.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 7.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.705 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 7.705 * [backup-simplify]: Simplify 1/720 into 1/720 7.705 * [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))) 7.705 * [backup-simplify]: Simplify (/ (/ (sin (/ 1 x)) 1) (/ (* (/ 1 x) (/ 1 x)) (tan (/ (/ 1 x) 2)))) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 7.705 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 7.705 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 7.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.706 * [taylor]: Taking taylor expansion of x in x 7.706 * [backup-simplify]: Simplify 0 into 0 7.706 * [backup-simplify]: Simplify 1 into 1 7.706 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 7.706 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.706 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.706 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.706 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.706 * [taylor]: Taking taylor expansion of 1/2 in x 7.706 * [backup-simplify]: Simplify 1/2 into 1/2 7.706 * [taylor]: Taking taylor expansion of x in x 7.706 * [backup-simplify]: Simplify 0 into 0 7.706 * [backup-simplify]: Simplify 1 into 1 7.706 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.706 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.706 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.706 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.706 * [taylor]: Taking taylor expansion of 1/2 in x 7.706 * [backup-simplify]: Simplify 1/2 into 1/2 7.706 * [taylor]: Taking taylor expansion of x in x 7.706 * [backup-simplify]: Simplify 0 into 0 7.706 * [backup-simplify]: Simplify 1 into 1 7.706 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.706 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.707 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.707 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.707 * [taylor]: Taking taylor expansion of x in x 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 1 into 1 7.707 * [backup-simplify]: Simplify (/ 1 1) into 1 7.707 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.707 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 7.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.707 * [taylor]: Taking taylor expansion of x in x 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 1 into 1 7.707 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 7.707 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.707 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.707 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.707 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.707 * [taylor]: Taking taylor expansion of 1/2 in x 7.707 * [backup-simplify]: Simplify 1/2 into 1/2 7.707 * [taylor]: Taking taylor expansion of x in x 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 1 into 1 7.707 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.707 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.707 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.707 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.708 * [taylor]: Taking taylor expansion of 1/2 in x 7.708 * [backup-simplify]: Simplify 1/2 into 1/2 7.708 * [taylor]: Taking taylor expansion of x in x 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify 1 into 1 7.709 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.709 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.709 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.709 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.709 * [taylor]: Taking taylor expansion of x in x 7.709 * [backup-simplify]: Simplify 0 into 0 7.709 * [backup-simplify]: Simplify 1 into 1 7.710 * [backup-simplify]: Simplify (/ 1 1) into 1 7.710 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.710 * [backup-simplify]: Simplify (* 1 1) into 1 7.710 * [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))) 7.710 * [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))) 7.710 * [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))) 7.711 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 7.711 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 7.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 7.712 * [backup-simplify]: Simplify 0 into 0 7.712 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.712 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 7.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 7.713 * [backup-simplify]: Simplify 0 into 0 7.714 * [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 7.714 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 7.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 7.716 * [backup-simplify]: Simplify 0 into 0 7.716 * [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 7.717 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 7.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.718 * [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 7.718 * [backup-simplify]: Simplify 0 into 0 7.719 * [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 7.720 * [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 7.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 7.722 * [backup-simplify]: Simplify 0 into 0 7.722 * [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 7.723 * [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 7.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.726 * [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 7.726 * [backup-simplify]: Simplify 0 into 0 7.726 * [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))) 7.726 * [backup-simplify]: Simplify (/ (/ (sin (/ 1 (- x))) 1) (/ (* (/ 1 (- x)) (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) 7.726 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 7.726 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 7.726 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.726 * [taylor]: Taking taylor expansion of x in x 7.726 * [backup-simplify]: Simplify 0 into 0 7.726 * [backup-simplify]: Simplify 1 into 1 7.726 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 7.726 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.726 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.726 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.726 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.726 * [taylor]: Taking taylor expansion of -1/2 in x 7.726 * [backup-simplify]: Simplify -1/2 into -1/2 7.726 * [taylor]: Taking taylor expansion of x in x 7.726 * [backup-simplify]: Simplify 0 into 0 7.726 * [backup-simplify]: Simplify 1 into 1 7.727 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.727 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.727 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.727 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.727 * [taylor]: Taking taylor expansion of -1/2 in x 7.727 * [backup-simplify]: Simplify -1/2 into -1/2 7.727 * [taylor]: Taking taylor expansion of x in x 7.727 * [backup-simplify]: Simplify 0 into 0 7.727 * [backup-simplify]: Simplify 1 into 1 7.727 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.727 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.727 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.727 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.727 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.727 * [taylor]: Taking taylor expansion of -1 in x 7.727 * [backup-simplify]: Simplify -1 into -1 7.727 * [taylor]: Taking taylor expansion of x in x 7.727 * [backup-simplify]: Simplify 0 into 0 7.727 * [backup-simplify]: Simplify 1 into 1 7.727 * [backup-simplify]: Simplify (/ -1 1) into -1 7.727 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.727 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 7.728 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.728 * [taylor]: Taking taylor expansion of x in x 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify 1 into 1 7.728 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 7.728 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.728 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.728 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.728 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.728 * [taylor]: Taking taylor expansion of -1/2 in x 7.728 * [backup-simplify]: Simplify -1/2 into -1/2 7.728 * [taylor]: Taking taylor expansion of x in x 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify 1 into 1 7.728 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.728 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.728 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.728 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.728 * [taylor]: Taking taylor expansion of -1/2 in x 7.728 * [backup-simplify]: Simplify -1/2 into -1/2 7.728 * [taylor]: Taking taylor expansion of x in x 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify 1 into 1 7.728 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.728 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.729 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.729 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.729 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.729 * [taylor]: Taking taylor expansion of -1 in x 7.729 * [backup-simplify]: Simplify -1 into -1 7.729 * [taylor]: Taking taylor expansion of x in x 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify (/ -1 1) into -1 7.729 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.729 * [backup-simplify]: Simplify (* 1 1) into 1 7.729 * [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))) 7.729 * [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))) 7.730 * [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))) 7.730 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 7.730 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 7.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [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 7.731 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 7.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [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 7.733 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 7.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [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 7.736 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 7.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.738 * [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 7.738 * [backup-simplify]: Simplify 0 into 0 7.738 * [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 7.739 * [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 7.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.741 * [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 7.741 * [backup-simplify]: Simplify 0 into 0 7.741 * [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 7.742 * [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 7.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.745 * [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 7.745 * [backup-simplify]: Simplify 0 into 0 7.745 * [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))) 7.745 * * * [progress]: simplifying candidates 7.745 * * * * [progress]: [ 1 / 182 ] simplifiying candidate # 7.745 * * * * [progress]: [ 2 / 182 ] simplifiying candidate # 7.745 * * * * [progress]: [ 3 / 182 ] simplifiying candidate # 7.745 * * * * [progress]: [ 4 / 182 ] simplifiying candidate # 7.745 * * * * [progress]: [ 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* * [progress]: [ 21 / 182 ] simplifiying candidate # 7.746 * * * * [progress]: [ 22 / 182 ] simplifiying candidate # 7.746 * * * * [progress]: [ 23 / 182 ] simplifiying candidate #real (real->posit16 (/ (* x x) (tan (/ x 2)))))))> 7.746 * * * * [progress]: [ 24 / 182 ] simplifiying candidate # 7.746 * * * * [progress]: [ 25 / 182 ] simplifiying candidate # 7.746 * * * * [progress]: [ 26 / 182 ] simplifiying candidate # 7.746 * * * * [progress]: [ 27 / 182 ] simplifiying candidate # 7.746 * * * * [progress]: [ 28 / 182 ] simplifiying candidate # 7.746 * * * * [progress]: [ 29 / 182 ] simplifiying candidate # 7.746 * * * * [progress]: [ 30 / 182 ] simplifiying candidate # 7.746 * * * * [progress]: [ 31 / 182 ] simplifiying candidate # 7.746 * * * * [progress]: [ 32 / 182 ] simplifiying candidate # 7.746 * * * * [progress]: [ 33 / 182 ] simplifiying candidate # 7.746 * * * * [progress]: [ 34 / 182 ] simplifiying candidate # 7.746 * * * * [progress]: [ 35 / 182 ] simplifiying candidate # 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7.751 * * * * [progress]: [ 160 / 182 ] simplifiying candidate # 7.751 * * * * [progress]: [ 161 / 182 ] simplifiying candidate # 7.752 * * * * [progress]: [ 162 / 182 ] simplifiying candidate # 7.752 * * * * [progress]: [ 163 / 182 ] simplifiying candidate # 7.752 * * * * [progress]: [ 164 / 182 ] simplifiying candidate # 7.752 * * * * [progress]: [ 165 / 182 ] simplifiying candidate # 7.752 * * * * [progress]: [ 166 / 182 ] simplifiying candidate # 7.752 * * * * [progress]: [ 167 / 182 ] simplifiying candidate # 7.752 * * * * [progress]: [ 168 / 182 ] simplifiying candidate # 7.752 * * * * [progress]: [ 169 / 182 ] simplifiying candidate # 7.752 * * * * [progress]: [ 170 / 182 ] simplifiying candidate # 7.752 * * * * [progress]: [ 171 / 182 ] simplifiying candidate # 7.752 * * * * [progress]: [ 172 / 182 ] simplifiying candidate # 7.752 * * * * [progress]: [ 173 / 182 ] simplifiying candidate # 7.752 * * * * [progress]: [ 174 / 182 ] simplifiying candidate # 7.752 * * * * [progress]: [ 175 / 182 ] simplifiying candidate # 7.752 * * * * [progress]: [ 176 / 182 ] simplifiying candidate #real (real->posit16 (/ (/ (sin x) 1) (/ (* x x) (tan (/ x 2)))))))> 7.752 * * * * [progress]: [ 177 / 182 ] simplifiying candidate # 7.752 * * * * [progress]: [ 178 / 182 ] simplifiying candidate # 7.753 * * * * [progress]: [ 179 / 182 ] simplifiying candidate # 7.753 * * * * [progress]: [ 180 / 182 ] simplifiying candidate # 7.753 * * * * [progress]: [ 181 / 182 ] simplifiying candidate # 7.753 * * * * [progress]: [ 182 / 182 ] simplifiying candidate # 7.755 * [simplify]: Simplifying: (- (+ (log x) (log x)) (log (tan (/ x 2)))) (- (log (* x x)) (log (tan (/ x 2)))) (log (/ (* x x) (tan (/ x 2)))) (exp (/ (* x x) (tan (/ x 2)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (cbrt (/ (* x x) (tan (/ x 2)))) (cbrt (/ (* x x) (tan (/ x 2))))) (cbrt (/ (* x x) 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(/ (* x x) (sin (/ x 2)))) (/ (/ 1 1) (cos (/ x 2))) (/ 1 (/ (* x x) (tan (/ x 2)))) (/ (/ (* x x) (tan (/ x 2))) (/ (sin x) 1)) (/ (/ (sin x) 1) (* (cbrt (/ (* x x) (tan (/ x 2)))) (cbrt (/ (* x x) (tan (/ x 2)))))) (/ (/ (sin x) 1) (sqrt (/ (* x x) (tan (/ x 2))))) (/ (/ (sin x) 1) (/ x (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))))) (/ (/ (sin x) 1) (/ x (sqrt (tan (/ x 2))))) (/ (/ (sin x) 1) (/ x 1)) (/ (/ (sin x) 1) 1) (/ (/ (sin x) 1) (* x x)) (/ (/ (sin x) 1) (/ (* x x) (sin (/ x 2)))) (/ (/ (* x x) (tan (/ x 2))) (cbrt (/ (sin x) 1))) (/ (/ (* x x) (tan (/ x 2))) (sqrt (/ (sin x) 1))) (/ (/ (* x x) (tan (/ x 2))) (/ (cbrt (sin x)) (cbrt 1))) (/ (/ (* x x) (tan (/ x 2))) (/ (cbrt (sin x)) (sqrt 1))) (/ (/ (* x x) (tan (/ x 2))) (/ (cbrt (sin x)) 1)) (/ (/ (* x x) (tan (/ x 2))) (/ (sqrt (sin x)) (cbrt 1))) (/ (/ (* x x) (tan (/ x 2))) (/ (sqrt (sin x)) (sqrt 1))) (/ (/ (* x x) (tan (/ x 2))) (/ (sqrt (sin x)) 1)) (/ (/ (* x x) (tan (/ x 2))) (/ (sin x) (cbrt 1))) (/ (/ (* x x) (tan (/ x 2))) (/ (sin x) (sqrt 1))) (/ (/ (* x x) (tan (/ x 2))) (/ (sin x) 1)) (/ (/ (* x x) (tan (/ x 2))) (/ (sin x) 1)) (/ (/ (* x x) (tan (/ x 2))) (/ 1 1)) (/ (/ (sin x) 1) (* x x)) (* (/ (* x x) (tan (/ x 2))) 1) (real->posit16 (/ (/ (sin x) 1) (/ (* x x) (tan (/ x 2))))) (- (* 2 x) (+ (* 1/6 (pow x 3)) (* 1/360 (pow x 5)))) (/ (* (cos (* 1/2 x)) (pow x 2)) (sin (* 1/2 x))) (/ (* (cos (* 1/2 x)) (pow x 2)) (sin (* 1/2 x))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 7.759 * * [simplify]: iteration 0: 350 enodes 7.939 * * [simplify]: iteration 1: 1030 enodes 8.285 * * [simplify]: iteration 2: 3075 enodes 9.007 * * [simplify]: iteration complete: 5016 enodes 9.008 * * [simplify]: Extracting #0: cost 104 inf + 0 9.011 * * [simplify]: Extracting #1: cost 1172 inf + 247 9.025 * * [simplify]: Extracting #2: cost 1639 inf + 42454 9.059 * * [simplify]: Extracting #3: cost 1395 inf + 116482 9.111 * * [simplify]: Extracting #4: cost 542 inf + 334280 9.211 * * [simplify]: Extracting #5: cost 66 inf + 504836 9.295 * * [simplify]: Extracting #6: cost 2 inf + 531478 9.381 * * [simplify]: Extracting #7: cost 0 inf + 532554 9.466 * [simplify]: Simplified to: (log (/ x (/ (tan (/ x 2)) x))) (log (/ x (/ (tan (/ x 2)) x))) (log (/ x (/ (tan (/ x 2)) x))) (exp (/ 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)) 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))) (* x (- x)) (- (tan (/ x 2))) (/ (/ x (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x 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(* 1/360 (pow x 5))) (/ (* (cos (* 1/2 x)) (* x x)) (sin (* 1/2 x))) (/ (* (cos (* 1/2 x)) (* x x)) (sin (* 1/2 x))) (+ (- 1/2 (* (* x x) 1/24)) (* 1/720 (* (* x x) (* x x)))) (/ (/ (sin x) (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (* x x)) (/ (/ (sin x) (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (* x x)) 9.481 * * * [progress]: adding candidates to table 10.111 * [progress]: [Phase 3 of 3] Extracting. 10.113 * * [regime]: Finding splitpoints for: (# # # # #) 10.116 * * * [regime-changes]: Trying 1 branch expressions: (x) 10.117 * * * * [regimes]: Trying to branch on x from (# # # # #) 10.166 * * * [regime]: Found split indices: #