0.001 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.110 * * * [progress]: [2/2] Setting up program. 0.113 * [progress]: [Phase 2 of 3] Improving. 0.113 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.113 * [simplify]: Simplifying: (/ (- 1 (cos x)) (* x x)) 0.113 * * [simplify]: iteration 1: (6 enodes) 0.115 * * [simplify]: iteration 2: (27 enodes) 0.120 * * [simplify]: iteration 3: (45 enodes) 0.126 * * [simplify]: iteration 4: (56 enodes) 0.137 * * [simplify]: iteration 5: (60 enodes) 0.148 * * [simplify]: Extracting #0: cost 1 inf + 0 0.148 * * [simplify]: Extracting #1: cost 9 inf + 0 0.148 * * [simplify]: Extracting #2: cost 19 inf + 42 0.148 * * [simplify]: Extracting #3: cost 17 inf + 629 0.149 * * [simplify]: Extracting #4: cost 7 inf + 1764 0.149 * * [simplify]: Extracting #5: cost 0 inf + 2636 0.150 * [simplify]: Simplified to: (/ (- 1 (cos x)) (* x x)) 0.152 * * [progress]: iteration 1 / 4 0.152 * * * [progress]: picking best candidate 0.154 * * * * [pick]: Picked # 0.154 * * * [progress]: localizing error 0.165 * * * [progress]: generating rewritten candidates 0.165 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.210 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.219 * * * [progress]: generating series expansions 0.219 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.223 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2)) 0.223 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0 0.224 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.224 * [taylor]: Taking taylor expansion of 1 in x 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [taylor]: Taking taylor expansion of (cos x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (- 1) into -1 0.226 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.226 * [backup-simplify]: Simplify (+ 0) into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.228 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.228 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.228 * [backup-simplify]: Simplify (* 1 1) into 1 0.229 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.229 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.229 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.229 * [taylor]: Taking taylor expansion of 1 in x 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [taylor]: Taking taylor expansion of (cos x) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (- 1) into -1 0.230 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.230 * [backup-simplify]: Simplify (+ 0) into 0 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.231 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.231 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.232 * [backup-simplify]: Simplify (* 1 1) into 1 0.232 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.232 * [backup-simplify]: Simplify 1/2 into 1/2 0.234 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.237 * [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 0.237 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.237 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.239 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.239 * [backup-simplify]: Simplify -1/24 into -1/24 0.240 * [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 0.241 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.246 * [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 0.246 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.246 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.248 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.248 * [backup-simplify]: Simplify 1/720 into 1/720 0.249 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 0.250 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.250 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 0.250 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.250 * [taylor]: Taking taylor expansion of 1 in x 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.250 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.250 * [taylor]: Taking taylor expansion of 1 in x 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.251 * [backup-simplify]: Simplify (* 1 1) into 1 0.251 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.251 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.251 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.252 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0 0.257 * [backup-simplify]: Simplify 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.265 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.265 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.265 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.266 * [taylor]: Taking taylor expansion of 1 in x 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.266 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.266 * [taylor]: Taking taylor expansion of -1 in x 0.266 * [backup-simplify]: Simplify -1 into -1 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ -1 1) into -1 0.266 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.266 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.266 * [taylor]: Taking taylor expansion of 1 in x 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.266 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.266 * [taylor]: Taking taylor expansion of -1 in x 0.266 * [backup-simplify]: Simplify -1 into -1 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ -1 1) into -1 0.267 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.267 * [backup-simplify]: Simplify (* 1 1) into 1 0.267 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.267 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.267 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.267 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [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 1))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.282 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.282 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.282 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.282 * [taylor]: Taking taylor expansion of (- 1 (cos 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 x) 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 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 x) 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 * [backup-simplify]: Simplify (- 1) into -1 0.283 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (+ 0) into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.284 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.285 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.285 * [backup-simplify]: Simplify 1/2 into 1/2 0.286 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.294 * [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 0.295 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.295 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.295 * [backup-simplify]: Simplify -1/24 into -1/24 0.296 * [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 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.301 * [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 0.302 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.302 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.302 * [backup-simplify]: Simplify 1/720 into 1/720 0.303 * [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))) 0.303 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.303 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.303 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.303 * [taylor]: Taking taylor expansion of 1 in x 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.304 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.304 * [taylor]: Taking taylor expansion of 1 in x 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.304 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.305 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.305 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.309 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.309 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.309 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.309 * [taylor]: Taking taylor expansion of 1 in x 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.309 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.309 * [taylor]: Taking taylor expansion of -1 in x 0.310 * [backup-simplify]: Simplify -1 into -1 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ -1 1) into -1 0.310 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.310 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.310 * [taylor]: Taking taylor expansion of 1 in x 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.310 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.310 * [taylor]: Taking taylor expansion of -1 in x 0.310 * [backup-simplify]: Simplify -1 into -1 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (/ -1 1) into -1 0.311 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.311 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.311 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.311 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.316 * * * [progress]: simplifying candidates 0.316 * * * * [progress]: [ 1 / 69 ] simplifiying candidate # 0.316 * * * * [progress]: [ 2 / 69 ] simplifiying candidate # 0.316 * * * * [progress]: [ 3 / 69 ] simplifiying candidate # 0.316 * * * * [progress]: [ 4 / 69 ] simplifiying candidate # 0.316 * * * * [progress]: [ 5 / 69 ] simplifiying candidate # 0.316 * * * * [progress]: [ 6 / 69 ] simplifiying candidate # 0.316 * * * * [progress]: [ 7 / 69 ] simplifiying candidate # 0.316 * * * * [progress]: [ 8 / 69 ] simplifiying candidate # 0.317 * * * * [progress]: [ 9 / 69 ] simplifiying candidate # 0.317 * * * * [progress]: [ 10 / 69 ] simplifiying candidate # 0.317 * * * * [progress]: [ 11 / 69 ] simplifiying candidate # 0.317 * * * * [progress]: [ 12 / 69 ] simplifiying candidate # 0.317 * * * * [progress]: [ 13 / 69 ] simplifiying candidate # 0.317 * * * * [progress]: [ 14 / 69 ] simplifiying candidate # 0.317 * * * * [progress]: [ 15 / 69 ] simplifiying candidate # 0.317 * * * * [progress]: [ 16 / 69 ] simplifiying candidate # 0.317 * * * * [progress]: [ 17 / 69 ] simplifiying candidate # 0.317 * * * * [progress]: [ 18 / 69 ] simplifiying candidate # 0.317 * * * * [progress]: [ 19 / 69 ] simplifiying candidate # 0.317 * * * * [progress]: [ 20 / 69 ] simplifiying candidate # 0.317 * * * * [progress]: [ 21 / 69 ] simplifiying candidate # 0.317 * * * * [progress]: [ 22 / 69 ] simplifiying candidate # 0.317 * * * * [progress]: [ 23 / 69 ] simplifiying candidate # 0.318 * * * * [progress]: [ 24 / 69 ] simplifiying candidate # 0.318 * * * * [progress]: [ 25 / 69 ] simplifiying candidate # 0.318 * * * * [progress]: [ 26 / 69 ] simplifiying candidate # 0.318 * * * * [progress]: [ 27 / 69 ] simplifiying candidate # 0.318 * * * * [progress]: [ 28 / 69 ] simplifiying candidate # 0.318 * * * * [progress]: [ 29 / 69 ] simplifiying candidate # 0.318 * * * * [progress]: [ 30 / 69 ] simplifiying candidate # 0.318 * * * * [progress]: [ 31 / 69 ] simplifiying candidate # 0.318 * * * * [progress]: [ 32 / 69 ] simplifiying candidate # 0.318 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.318 * * * * [progress]: [ 34 / 69 ] simplifiying candidate # 0.318 * * * * [progress]: [ 35 / 69 ] simplifiying candidate # 0.318 * * * * [progress]: [ 36 / 69 ] simplifiying candidate # 0.318 * * * * [progress]: [ 37 / 69 ] simplifiying candidate # 0.318 * * * * [progress]: [ 38 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 39 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 40 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 41 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 42 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 43 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 44 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 45 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 46 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 47 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 48 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 49 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 50 / 69 ] simplifiying candidate # 0.319 * * * * [progress]: [ 51 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 52 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 53 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 54 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 55 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 56 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 57 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 58 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 59 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 60 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 61 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 62 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.320 * * * * [progress]: [ 64 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 65 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 66 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 67 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 68 / 69 ] simplifiying candidate # 0.320 * * * * [progress]: [ 69 / 69 ] simplifiying candidate # 0.322 * [simplify]: Simplifying: (expm1 (/ (- 1 (cos x)) (* x x))) (log1p (/ (- 1 (cos x)) (* x x))) (- (log (- 1 (cos x))) (+ (log x) (log x))) (- (log (- 1 (cos x))) (log (* x x))) (log (/ (- 1 (cos x)) (* x x))) (exp (/ (- 1 (cos x)) (* x x))) (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x))) (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (- (- 1 (cos x))) (- (* x x)) (/ 1 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x) (/ (cbrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (+ (sqrt 1) (sqrt (cos x))) x) (/ (- (sqrt 1) (sqrt (cos x))) x) (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1 (cos x))) (/ (- 1 (cos x)) x) (/ (* x x) (cbrt (- 1 (cos x)))) (/ (* x x) (sqrt (- 1 (cos x)))) (/ (* x x) (- 1 (cos x))) (/ (* x x) (- (sqrt 1) (sqrt (cos x)))) (/ (* x x) (- 1 (sqrt (cos x)))) (/ (* x x) (- 1 (cos x))) (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))) (* (* x x) (+ 1 (cos x))) (real->posit16 (/ (- 1 (cos x)) (* x x))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1) (sqrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1) (exp (cos x))) (log (- 1 (cos x))) (exp (- 1 (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))) (- (cos x)) (- (* 1 1) (* (cos x) (cos x))) (+ 1 (cos x)) (+ (sqrt 1) (sqrt (cos x))) (- (sqrt 1) (sqrt (cos x))) (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (real->posit16 (- 1 (cos x))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1 (cos x)) (pow x 2)) (/ (- 1 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1 (cos x)) (- 1 (cos x)) 0.324 * * [simplify]: iteration 1: (121 enodes) 0.382 * * [simplify]: iteration 2: (487 enodes) 0.527 * * [simplify]: iteration 3: (1034 enodes) 1.121 * * [simplify]: Extracting #0: cost 47 inf + 0 1.122 * * [simplify]: Extracting #1: cost 287 inf + 0 1.127 * * [simplify]: Extracting #2: cost 500 inf + 7426 1.145 * * [simplify]: Extracting #3: cost 277 inf + 49874 1.182 * * [simplify]: Extracting #4: cost 46 inf + 103170 1.230 * * [simplify]: Extracting #5: cost 1 inf + 114876 1.256 * * [simplify]: Extracting #6: cost 0 inf + 114766 1.280 * [simplify]: Simplified to: (expm1 (/ (/ (- 1 (cos x)) x) x)) (log1p (/ (/ (- 1 (cos x)) x) x)) (log (/ (/ (- 1 (cos x)) x) x)) (log (/ (/ (- 1 (cos x)) x) x)) (log (/ (/ (- 1 (cos x)) x) x)) (exp (/ (/ (- 1 (cos x)) x) x)) (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))) (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))) (* (cbrt (/ (/ (- 1 (cos x)) x) x)) (cbrt (/ (/ (- 1 (cos x)) x) x))) (cbrt (/ (/ (- 1 (cos x)) x) x)) (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))) (sqrt (/ (/ (- 1 (cos x)) x) x)) (sqrt (/ (/ (- 1 (cos x)) x) x)) (- (- 1 (cos x))) (* (- x) x) (/ (/ 1 x) x) (/ (cos x) (* x x)) (/ (cbrt (- 1 (cos x))) (/ x (cbrt (- 1 (cos x))))) (/ (cbrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x) (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (/ 1 x) x) (/ x (/ (- 1 (cos x)) x)) (/ (- 1 (cos x)) x) (/ (* x x) (cbrt (- 1 (cos x)))) (/ (* x x) (sqrt (- 1 (cos x)))) (/ x (/ (- 1 (cos x)) x)) (/ (* x x) (- 1 (sqrt (cos x)))) (/ (* x x) (- 1 (sqrt (cos x)))) (/ x (/ (- 1 (cos x)) x)) (* (+ (* (fma (cos x) (cos x) (cos x)) x) x) x) (* (fma x (cos x) x) x) (real->posit16 (/ (/ (- 1 (cos x)) x) x)) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ E (exp (cos x))) (log (- 1 (cos x))) (/ E (exp (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- 1 (* (cos x) (* (cos x) (cos x)))) (fma (cos x) (+ (cos x) 1) 1) (- (cos x)) (* (sin x) (sin x)) (+ (cos x) 1) (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x))) (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (real->posit16 (- 1 (cos x))) (fma (* x x) -1/24 (fma (* 1/720 (* x x)) (* x x) 1/2)) (/ (/ (- 1 (cos x)) x) x) (/ (/ (- 1 (cos x)) x) x) (fma (* (* x x) (* x x)) -1/24 (fma (* x x) 1/2 (* (* 1/720 (* x x)) (* (* x x) (* x x))))) (- 1 (cos x)) (- 1 (cos x)) 1.283 * * * [progress]: adding candidates to table 1.819 * * [progress]: iteration 2 / 4 1.819 * * * [progress]: picking best candidate 1.852 * * * * [pick]: Picked # 1.852 * * * [progress]: localizing error 1.879 * * * [progress]: generating rewritten candidates 1.879 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.900 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.909 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.929 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.962 * * * [progress]: generating series expansions 1.962 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.962 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 1.962 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 1.962 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 1.962 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.962 * [taylor]: Taking taylor expansion of (sin x) in x 1.962 * [taylor]: Taking taylor expansion of x in x 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.964 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 1.964 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.964 * [taylor]: Taking taylor expansion of x in x 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.964 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.965 * [taylor]: Taking taylor expansion of (cos x) in x 1.965 * [taylor]: Taking taylor expansion of x in x 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [taylor]: Taking taylor expansion of 1 in x 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [backup-simplify]: Simplify (* 1 1) into 1 1.965 * [backup-simplify]: Simplify (* 1 1) into 1 1.966 * [backup-simplify]: Simplify (+ 1 1) into 2 1.966 * [backup-simplify]: Simplify (* 1 2) into 2 1.967 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.967 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 1.967 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.967 * [taylor]: Taking taylor expansion of (sin x) in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.967 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 1.967 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.968 * [taylor]: Taking taylor expansion of (cos x) in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [taylor]: Taking taylor expansion of 1 in x 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (* 1 1) into 1 1.968 * [backup-simplify]: Simplify (* 1 1) into 1 1.969 * [backup-simplify]: Simplify (+ 1 1) into 2 1.969 * [backup-simplify]: Simplify (* 1 2) into 2 1.969 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.970 * [backup-simplify]: Simplify 1/2 into 1/2 1.970 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.971 * [backup-simplify]: Simplify (+ 0) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 1.974 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.976 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.977 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.977 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.979 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 1.980 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 1.980 * [backup-simplify]: Simplify -1/24 into -1/24 1.981 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 1.987 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 1.992 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.994 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.995 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.997 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 1.999 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 1.999 * [backup-simplify]: Simplify 1/720 into 1/720 2.000 * [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))) 2.000 * [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)) 2.000 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 2.000 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 2.000 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 2.000 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.000 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.000 * [taylor]: Taking taylor expansion of x in x 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (/ 1 1) into 1 2.001 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.001 * [taylor]: Taking taylor expansion of x in x 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.001 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.001 * [taylor]: Taking taylor expansion of x in x 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (/ 1 1) into 1 2.001 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.001 * [taylor]: Taking taylor expansion of 1 in x 2.001 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.002 * [backup-simplify]: Simplify (* 1 1) into 1 2.002 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 2.002 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.002 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.002 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 2.002 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 2.002 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.002 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (/ 1 1) into 1 2.003 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.003 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.003 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (/ 1 1) into 1 2.003 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.003 * [taylor]: Taking taylor expansion of 1 in x 2.003 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.004 * [backup-simplify]: Simplify (* 1 1) into 1 2.004 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 2.004 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.004 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.004 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.005 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.006 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 2.006 * [backup-simplify]: Simplify (+ 0 0) into 0 2.006 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.008 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.008 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [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 2.009 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.011 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.012 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [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 2.013 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.015 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.016 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.016 * [backup-simplify]: Simplify (+ 0 0) into 0 2.017 * [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 2.017 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.020 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.021 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.022 * [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 2.022 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.025 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.026 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.026 * [backup-simplify]: Simplify (+ 0 0) into 0 2.027 * [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 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [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))) 2.027 * [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)) 2.027 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 2.028 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 2.028 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 2.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.028 * [taylor]: Taking taylor expansion of x in x 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.028 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.028 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.028 * [taylor]: Taking taylor expansion of -1 in x 2.028 * [backup-simplify]: Simplify -1 into -1 2.028 * [taylor]: Taking taylor expansion of x in x 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (/ -1 1) into -1 2.028 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.028 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.028 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.028 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.028 * [taylor]: Taking taylor expansion of -1 in x 2.028 * [backup-simplify]: Simplify -1 into -1 2.028 * [taylor]: Taking taylor expansion of x in x 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (/ -1 1) into -1 2.029 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.029 * [taylor]: Taking taylor expansion of 1 in x 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (* 1 1) into 1 2.030 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.030 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 2.030 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.030 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.030 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 2.030 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 2.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.030 * [taylor]: Taking taylor expansion of x in x 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.030 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.030 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.030 * [taylor]: Taking taylor expansion of -1 in x 2.030 * [backup-simplify]: Simplify -1 into -1 2.030 * [taylor]: Taking taylor expansion of x in x 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (/ -1 1) into -1 2.031 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.031 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.031 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.031 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.031 * [taylor]: Taking taylor expansion of -1 in x 2.031 * [backup-simplify]: Simplify -1 into -1 2.031 * [taylor]: Taking taylor expansion of x in x 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (/ -1 1) into -1 2.031 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.031 * [taylor]: Taking taylor expansion of 1 in x 2.031 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (* 1 1) into 1 2.032 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.032 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 2.032 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.032 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.032 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.033 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 2.034 * [backup-simplify]: Simplify (+ 0 0) into 0 2.034 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 2.037 * [backup-simplify]: Simplify (+ 0 0) into 0 2.037 * [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 2.037 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 2.040 * [backup-simplify]: Simplify (+ 0 0) into 0 2.041 * [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 2.041 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 2.045 * [backup-simplify]: Simplify (+ 0 0) into 0 2.045 * [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 2.045 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 2.050 * [backup-simplify]: Simplify (+ 0 0) into 0 2.050 * [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 2.050 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 2.054 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [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 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [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))) 2.055 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.055 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 2.055 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 2.055 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.055 * [taylor]: Taking taylor expansion of (cos x) in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [taylor]: Taking taylor expansion of 1 in x 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.055 * [taylor]: Taking taylor expansion of (cos x) in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [taylor]: Taking taylor expansion of 1 in x 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [backup-simplify]: Simplify (+ 1 1) into 2 2.056 * [backup-simplify]: Simplify 2 into 2 2.056 * [backup-simplify]: Simplify (+ 0) into 0 2.056 * [backup-simplify]: Simplify (+ 0 0) into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.057 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.057 * [backup-simplify]: Simplify -1/2 into -1/2 2.058 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.058 * [backup-simplify]: Simplify (+ 0 0) into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.059 * [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 2.060 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.060 * [backup-simplify]: Simplify 1/24 into 1/24 2.060 * [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))) 2.060 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 2.060 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 2.060 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.060 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (/ 1 1) into 1 2.060 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.060 * [taylor]: Taking taylor expansion of 1 in x 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.060 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (/ 1 1) into 1 2.061 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.061 * [taylor]: Taking taylor expansion of 1 in x 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.061 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.061 * [backup-simplify]: Simplify (+ 0 0) into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify (+ 0 0) into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify (+ 0 0) into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify (+ 0 0) into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify (+ 0 0) into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (+ 0 0) into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 2.063 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 2.063 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 2.063 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.063 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.063 * [taylor]: Taking taylor expansion of -1 in x 2.063 * [backup-simplify]: Simplify -1 into -1 2.063 * [taylor]: Taking taylor expansion of x in x 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (/ -1 1) into -1 2.063 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.063 * [taylor]: Taking taylor expansion of 1 in x 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.063 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.063 * [taylor]: Taking taylor expansion of -1 in x 2.063 * [backup-simplify]: Simplify -1 into -1 2.063 * [taylor]: Taking taylor expansion of x in x 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.064 * [backup-simplify]: Simplify (/ -1 1) into -1 2.064 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.064 * [taylor]: Taking taylor expansion of 1 in x 2.064 * [backup-simplify]: Simplify 1 into 1 2.064 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.064 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.064 * [backup-simplify]: Simplify (+ 0 0) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify (+ 0 0) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 2.066 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.066 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 2.066 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 2.066 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.066 * [taylor]: Taking taylor expansion of (sin x) in x 2.066 * [taylor]: Taking taylor expansion of x in x 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.066 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.066 * [taylor]: Taking taylor expansion of (sin x) in x 2.066 * [taylor]: Taking taylor expansion of x in x 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.067 * [backup-simplify]: Simplify (* 1 1) into 1 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.069 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.069 * [backup-simplify]: Simplify -1/3 into -1/3 2.070 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.073 * [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 2.077 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.077 * [backup-simplify]: Simplify 2/45 into 2/45 2.078 * [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))) 2.078 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.078 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 2.078 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.078 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.078 * [taylor]: Taking taylor expansion of x in x 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.079 * [backup-simplify]: Simplify (/ 1 1) into 1 2.079 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.079 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.079 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 1 into 1 2.079 * [backup-simplify]: Simplify (/ 1 1) into 1 2.079 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.079 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.079 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 2.080 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.080 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.081 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.082 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.084 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 2.086 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 2.086 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 2.086 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.086 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.086 * [taylor]: Taking taylor expansion of -1 in x 2.086 * [backup-simplify]: Simplify -1 into -1 2.086 * [taylor]: Taking taylor expansion of x in x 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [backup-simplify]: Simplify (/ -1 1) into -1 2.086 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.086 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.086 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.086 * [taylor]: Taking taylor expansion of -1 in x 2.086 * [backup-simplify]: Simplify -1 into -1 2.086 * [taylor]: Taking taylor expansion of x in x 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (/ -1 1) into -1 2.087 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.087 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.087 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 2.087 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.088 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.091 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 2.093 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.093 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.093 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 2.093 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 2.093 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.093 * [taylor]: Taking taylor expansion of (sin x) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.094 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.094 * [taylor]: Taking taylor expansion of (cos x) in x 2.094 * [taylor]: Taking taylor expansion of x in x 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [taylor]: Taking taylor expansion of 1 in x 2.094 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify (* 1 1) into 1 2.095 * [backup-simplify]: Simplify (+ 1 1) into 2 2.095 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.095 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 2.095 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.095 * [taylor]: Taking taylor expansion of (sin x) in x 2.095 * [taylor]: Taking taylor expansion of x in x 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.096 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.096 * [taylor]: Taking taylor expansion of (cos x) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [taylor]: Taking taylor expansion of 1 in x 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (* 1 1) into 1 2.097 * [backup-simplify]: Simplify (+ 1 1) into 2 2.097 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.097 * [backup-simplify]: Simplify 1/2 into 1/2 2.098 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.099 * [backup-simplify]: Simplify (+ 0) into 0 2.099 * [backup-simplify]: Simplify (+ 0 0) into 0 2.100 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 2.100 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.102 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.103 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.104 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.105 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 2.105 * [backup-simplify]: Simplify -1/24 into -1/24 2.106 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.108 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.109 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 2.110 * [backup-simplify]: Simplify 0 into 0 2.113 * [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 2.114 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.117 * [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 2.117 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.119 * [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 2.119 * [backup-simplify]: Simplify 1/720 into 1/720 2.120 * [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))) 2.120 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.120 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 2.120 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 2.120 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.120 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.120 * [taylor]: Taking taylor expansion of x in x 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify (/ 1 1) into 1 2.120 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.120 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.120 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.120 * [taylor]: Taking taylor expansion of x in x 2.120 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (/ 1 1) into 1 2.121 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.121 * [taylor]: Taking taylor expansion of 1 in x 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.121 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.121 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.121 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 2.121 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.121 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.121 * [taylor]: Taking taylor expansion of x in x 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.122 * [backup-simplify]: Simplify (/ 1 1) into 1 2.122 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.122 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.122 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.122 * [taylor]: Taking taylor expansion of x in x 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 1 into 1 2.122 * [backup-simplify]: Simplify (/ 1 1) into 1 2.122 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.122 * [taylor]: Taking taylor expansion of 1 in x 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.123 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.123 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.123 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.123 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.124 * [backup-simplify]: Simplify (+ 0 0) into 0 2.124 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.125 * [backup-simplify]: Simplify (+ 0 0) into 0 2.125 * [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 2.125 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.127 * [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 2.127 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.129 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [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 2.131 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.133 * [backup-simplify]: Simplify (+ 0 0) into 0 2.134 * [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 2.134 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.138 * [backup-simplify]: Simplify (+ 0 0) into 0 2.139 * [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 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.140 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.140 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 2.140 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 2.140 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.140 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.140 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.140 * [taylor]: Taking taylor expansion of -1 in x 2.140 * [backup-simplify]: Simplify -1 into -1 2.140 * [taylor]: Taking taylor expansion of x in x 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (/ -1 1) into -1 2.141 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.141 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.141 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.141 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.141 * [taylor]: Taking taylor expansion of -1 in x 2.141 * [backup-simplify]: Simplify -1 into -1 2.141 * [taylor]: Taking taylor expansion of x in x 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.142 * [backup-simplify]: Simplify (/ -1 1) into -1 2.142 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.142 * [taylor]: Taking taylor expansion of 1 in x 2.142 * [backup-simplify]: Simplify 1 into 1 2.142 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.143 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.143 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.143 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 2.143 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.143 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.143 * [taylor]: Taking taylor expansion of -1 in x 2.143 * [backup-simplify]: Simplify -1 into -1 2.143 * [taylor]: Taking taylor expansion of x in x 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 1 into 1 2.144 * [backup-simplify]: Simplify (/ -1 1) into -1 2.144 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.144 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.144 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.144 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.144 * [taylor]: Taking taylor expansion of -1 in x 2.144 * [backup-simplify]: Simplify -1 into -1 2.144 * [taylor]: Taking taylor expansion of x in x 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (/ -1 1) into -1 2.145 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.145 * [taylor]: Taking taylor expansion of 1 in x 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.145 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.145 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.146 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.146 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.146 * [backup-simplify]: Simplify (+ 0 0) into 0 2.147 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.148 * [backup-simplify]: Simplify (+ 0 0) into 0 2.148 * [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 2.148 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.150 * [backup-simplify]: Simplify (+ 0 0) into 0 2.151 * [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 2.151 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.153 * [backup-simplify]: Simplify (+ 0 0) into 0 2.153 * [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 2.153 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.154 * [backup-simplify]: Simplify (+ 0 0) into 0 2.155 * [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 2.155 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.156 * [backup-simplify]: Simplify (+ 0 0) into 0 2.157 * [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 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.157 * * * [progress]: simplifying candidates 2.157 * * * * [progress]: [ 1 / 138 ] simplifiying candidate # 2.157 * * * * [progress]: [ 2 / 138 ] simplifiying candidate # 2.157 * * * * [progress]: [ 3 / 138 ] simplifiying candidate # 2.157 * * * * [progress]: [ 4 / 138 ] simplifiying candidate # 2.157 * * * * [progress]: [ 5 / 138 ] simplifiying candidate # 2.157 * * * * [progress]: [ 6 / 138 ] simplifiying candidate # 2.157 * * * * [progress]: [ 7 / 138 ] simplifiying candidate # 2.157 * * * * [progress]: [ 8 / 138 ] simplifiying candidate # 2.157 * * * * [progress]: [ 9 / 138 ] simplifiying candidate # 2.157 * * * * [progress]: [ 10 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 11 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 12 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 13 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 14 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 15 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 16 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 17 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 18 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 19 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 20 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 21 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 22 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 23 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 24 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 25 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 26 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 27 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 28 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 29 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 30 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 31 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 32 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 33 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 34 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 35 / 138 ] simplifiying candidate # 2.158 * * * * [progress]: [ 36 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 37 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 38 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 39 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 40 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 41 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 42 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 43 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 44 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 45 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 46 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 47 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 2.159 * * * * [progress]: [ 49 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 50 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 51 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 52 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 53 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 54 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 55 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 56 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 57 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 58 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 59 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 60 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 61 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 62 / 138 ] simplifiying candidate # 2.159 * * * * [progress]: [ 63 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 64 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 2.160 * * * * [progress]: [ 66 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 67 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 68 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 69 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 70 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 71 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 72 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 73 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 74 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 75 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 76 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 77 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 78 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 79 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 80 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 81 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 82 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 83 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 84 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 85 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 86 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 87 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 88 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 89 / 138 ] simplifiying candidate # 2.160 * * * * [progress]: [ 90 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 91 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 92 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 93 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 94 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 2.161 * * * * [progress]: [ 96 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 97 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 98 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 99 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 100 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 101 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 102 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 103 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 104 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 105 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 106 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 107 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 108 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 109 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 110 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 111 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 112 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 113 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 114 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 115 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 116 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 117 / 138 ] simplifiying candidate # 2.161 * * * * [progress]: [ 118 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 119 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 120 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 121 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 122 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 123 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 124 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 125 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 2.162 * * * * [progress]: [ 127 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 128 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 129 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 130 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 131 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 132 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 133 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 134 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 135 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 136 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 137 / 138 ] simplifiying candidate # 2.162 * * * * [progress]: [ 138 / 138 ] simplifiying candidate # 2.163 * [simplify]: Simplifying: (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x))) (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x)) (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x)) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (/ (sin x) (* 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10767 2.620 * * [simplify]: Extracting #3: cost 571 inf + 55383 2.673 * * [simplify]: Extracting #4: cost 173 inf + 157311 2.740 * * [simplify]: Extracting #5: cost 11 inf + 206748 2.810 * * [simplify]: Extracting #6: cost 0 inf + 207861 2.848 * [simplify]: Simplified to: (expm1 (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (log1p (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (exp (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) (* (/ (* (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (/ (sin x) (/ (+ 1 (cos x)) (sin x)))) (* x (* x x))) (/ (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (* x (* x x)))) (* (/ 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-1/24))) (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (/ (sin x) (/ (+ 1 (cos x)) (sin x))) 2.854 * * * [progress]: adding candidates to table 4.049 * * [progress]: iteration 3 / 4 4.049 * * * [progress]: picking best candidate 4.063 * * * * [pick]: Picked # 4.063 * * * [progress]: localizing error 4.082 * * * [progress]: generating rewritten candidates 4.082 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 4.113 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 4.121 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.150 * * * [progress]: generating series expansions 4.150 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 4.150 * [backup-simplify]: Simplify (* (/ (sin x) x) (tan (/ x 2))) into (/ (* (sin x) (tan (* 1/2 x))) x) 4.150 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in (x) around 0 4.150 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 4.150 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 4.150 * [taylor]: Taking taylor expansion of (sin x) in x 4.150 * [taylor]: Taking taylor expansion of x in x 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 1 into 1 4.150 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.152 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.152 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.152 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.152 * [taylor]: Taking taylor expansion of 1/2 in x 4.152 * [backup-simplify]: Simplify 1/2 into 1/2 4.152 * [taylor]: Taking taylor expansion of x in x 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.153 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.154 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.154 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.154 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.154 * [taylor]: Taking taylor expansion of 1/2 in x 4.154 * [backup-simplify]: Simplify 1/2 into 1/2 4.154 * [taylor]: Taking taylor expansion of x in x 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify 1 into 1 4.155 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.156 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.157 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.157 * [taylor]: Taking taylor expansion of x in x 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify 1 into 1 4.157 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.159 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.160 * [backup-simplify]: Simplify (+ 0) into 0 4.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.161 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.162 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 4.163 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.163 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 4.163 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 4.163 * [taylor]: Taking taylor expansion of (sin x) in x 4.163 * [taylor]: Taking taylor expansion of x in x 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 1 into 1 4.163 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.163 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.163 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.163 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.163 * [taylor]: Taking taylor expansion of 1/2 in x 4.163 * [backup-simplify]: Simplify 1/2 into 1/2 4.163 * [taylor]: Taking taylor expansion of x in x 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 1 into 1 4.164 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.164 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.164 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.164 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.164 * [taylor]: Taking taylor expansion of 1/2 in x 4.164 * [backup-simplify]: Simplify 1/2 into 1/2 4.164 * [taylor]: Taking taylor expansion of x in x 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify 1 into 1 4.165 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.166 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.167 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.167 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.167 * [taylor]: Taking taylor expansion of x in x 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 1 into 1 4.168 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.169 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.170 * [backup-simplify]: Simplify (+ 0) into 0 4.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.172 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.173 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 4.173 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.173 * [backup-simplify]: Simplify 1/2 into 1/2 4.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.178 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 4.179 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 4.181 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 4.182 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.183 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 4.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.184 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.188 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.190 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 4.194 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 4.197 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 4.197 * [backup-simplify]: Simplify -1/24 into -1/24 4.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.203 * [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 4.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.207 * [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 4.209 * [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 4.210 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.212 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 4.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 4.213 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.219 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.222 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 4.228 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 4.231 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 4.233 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 4.233 * [backup-simplify]: Simplify 1/720 into 1/720 4.233 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 4.234 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (tan (/ (/ 1 x) 2))) into (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 4.234 * [approximate]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 4.234 * [taylor]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 4.234 * [taylor]: Taking taylor expansion of x in x 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 1 into 1 4.234 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 4.234 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.234 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.234 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.234 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.234 * [taylor]: Taking taylor expansion of 1/2 in x 4.234 * [backup-simplify]: Simplify 1/2 into 1/2 4.234 * [taylor]: Taking taylor expansion of x in x 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 1 into 1 4.235 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.235 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.235 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.235 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.235 * [taylor]: Taking taylor expansion of 1/2 in x 4.235 * [backup-simplify]: Simplify 1/2 into 1/2 4.235 * [taylor]: Taking taylor expansion of x in x 4.235 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify 1 into 1 4.235 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.235 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.236 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.236 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.236 * [taylor]: Taking taylor expansion of x in x 4.236 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify 1 into 1 4.236 * [backup-simplify]: Simplify (/ 1 1) into 1 4.236 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.236 * [taylor]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 4.236 * [taylor]: Taking taylor expansion of x in x 4.236 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify 1 into 1 4.236 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 4.236 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.237 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.237 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.237 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.237 * [taylor]: Taking taylor expansion of 1/2 in x 4.237 * [backup-simplify]: Simplify 1/2 into 1/2 4.237 * [taylor]: Taking taylor expansion of x in x 4.237 * [backup-simplify]: Simplify 0 into 0 4.237 * [backup-simplify]: Simplify 1 into 1 4.237 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.237 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.237 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.237 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.237 * [taylor]: Taking taylor expansion of 1/2 in x 4.237 * [backup-simplify]: Simplify 1/2 into 1/2 4.237 * [taylor]: Taking taylor expansion of x in x 4.237 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify 1 into 1 4.238 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.238 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.238 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.238 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.238 * [taylor]: Taking taylor expansion of x in x 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify 1 into 1 4.239 * [backup-simplify]: Simplify (/ 1 1) into 1 4.239 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.239 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4.239 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into 0 4.239 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 4.240 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 4.241 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4.241 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4.242 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.242 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 4.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 4.243 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.245 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 4.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 4.246 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.248 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 4.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 4.250 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.252 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 4.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 4.255 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.257 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 4.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 4.260 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.263 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 4.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))))) into 0 4.266 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) 4.267 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) into (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) 4.267 * [approximate]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in (x) around 0 4.267 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 4.267 * [taylor]: Taking taylor expansion of -1 in x 4.267 * [backup-simplify]: Simplify -1 into -1 4.267 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 4.267 * [taylor]: Taking taylor expansion of x in x 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 1 into 1 4.267 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 4.267 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.267 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.267 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.267 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.267 * [taylor]: Taking taylor expansion of -1/2 in x 4.267 * [backup-simplify]: Simplify -1/2 into -1/2 4.267 * [taylor]: Taking taylor expansion of x in x 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 1 into 1 4.268 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.268 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.268 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.268 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.268 * [taylor]: Taking taylor expansion of -1/2 in x 4.268 * [backup-simplify]: Simplify -1/2 into -1/2 4.268 * [taylor]: Taking taylor expansion of x in x 4.268 * [backup-simplify]: Simplify 0 into 0 4.268 * [backup-simplify]: Simplify 1 into 1 4.269 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.269 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.269 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.269 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.269 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.269 * [taylor]: Taking taylor expansion of -1 in x 4.269 * [backup-simplify]: Simplify -1 into -1 4.269 * [taylor]: Taking taylor expansion of x in x 4.269 * [backup-simplify]: Simplify 0 into 0 4.269 * [backup-simplify]: Simplify 1 into 1 4.270 * [backup-simplify]: Simplify (/ -1 1) into -1 4.270 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.270 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 4.270 * [taylor]: Taking taylor expansion of -1 in x 4.270 * [backup-simplify]: Simplify -1 into -1 4.270 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 4.270 * [taylor]: Taking taylor expansion of x in x 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 1 into 1 4.270 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 4.270 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.270 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.270 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.270 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.270 * [taylor]: Taking taylor expansion of -1/2 in x 4.270 * [backup-simplify]: Simplify -1/2 into -1/2 4.270 * [taylor]: Taking taylor expansion of x in x 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 1 into 1 4.271 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.271 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.271 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.271 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.271 * [taylor]: Taking taylor expansion of -1/2 in x 4.271 * [backup-simplify]: Simplify -1/2 into -1/2 4.271 * [taylor]: Taking taylor expansion of x in x 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 1 into 1 4.272 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.272 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.272 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.272 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.272 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.272 * [taylor]: Taking taylor expansion of -1 in x 4.272 * [backup-simplify]: Simplify -1 into -1 4.272 * [taylor]: Taking taylor expansion of x in x 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify 1 into 1 4.273 * [backup-simplify]: Simplify (/ -1 1) into -1 4.273 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.273 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4.273 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into 0 4.274 * [backup-simplify]: Simplify (* -1 0) into 0 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 4.274 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 4.275 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4.276 * [backup-simplify]: Simplify (+ (* -1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) 4.276 * [backup-simplify]: Simplify (- (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (- (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) 4.276 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.284 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 4.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 4.286 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))) into 0 4.286 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.287 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 4.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 4.289 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))) into 0 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.290 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 4.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 4.292 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))))) into 0 4.292 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.294 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 4.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 4.298 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 4.298 * [backup-simplify]: Simplify 0 into 0 4.298 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.300 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 4.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 4.304 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))))))) into 0 4.304 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.307 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 4.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))))) into 0 4.312 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))))))) into 0 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify (* (- (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) 4.313 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 4.313 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 4.313 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 4.313 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 4.313 * [taylor]: Taking taylor expansion of (sin x) in x 4.313 * [taylor]: Taking taylor expansion of x in x 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [taylor]: Taking taylor expansion of x in x 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.314 * [backup-simplify]: Simplify (/ 1 1) into 1 4.314 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 4.314 * [taylor]: Taking taylor expansion of (sin x) in x 4.314 * [taylor]: Taking taylor expansion of x in x 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 1 into 1 4.314 * [taylor]: Taking taylor expansion of x in x 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 1 into 1 4.315 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.315 * [backup-simplify]: Simplify (/ 1 1) into 1 4.315 * [backup-simplify]: Simplify 1 into 1 4.316 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.316 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.319 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 4.319 * [backup-simplify]: Simplify -1/6 into -1/6 4.320 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 4.321 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 4.326 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 4.326 * [backup-simplify]: Simplify 1/120 into 1/120 4.326 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) 4.326 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 4.326 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 4.326 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 4.326 * [taylor]: Taking taylor expansion of x in x 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 1 into 1 4.326 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.326 * [taylor]: Taking taylor expansion of x in x 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 1 into 1 4.326 * [backup-simplify]: Simplify (/ 1 1) into 1 4.326 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.326 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 4.327 * [taylor]: Taking taylor expansion of x in x 4.327 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify 1 into 1 4.327 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.327 * [taylor]: Taking taylor expansion of x in x 4.327 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify 1 into 1 4.327 * [backup-simplify]: Simplify (/ 1 1) into 1 4.327 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.327 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 4.327 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 4.327 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 4.328 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 4.329 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 4.330 * [backup-simplify]: Simplify 0 into 0 4.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 4.331 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 4.332 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 4.334 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 4.334 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 4.334 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 4.334 * [taylor]: Taking taylor expansion of -1 in x 4.334 * [backup-simplify]: Simplify -1 into -1 4.334 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 4.334 * [taylor]: Taking taylor expansion of x in x 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.334 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.334 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.334 * [taylor]: Taking taylor expansion of -1 in x 4.334 * [backup-simplify]: Simplify -1 into -1 4.334 * [taylor]: Taking taylor expansion of x in x 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.335 * [backup-simplify]: Simplify (/ -1 1) into -1 4.335 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.335 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 4.335 * [taylor]: Taking taylor expansion of -1 in x 4.335 * [backup-simplify]: Simplify -1 into -1 4.335 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 4.335 * [taylor]: Taking taylor expansion of x in x 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 1 into 1 4.335 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.335 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.335 * [taylor]: Taking taylor expansion of -1 in x 4.335 * [backup-simplify]: Simplify -1 into -1 4.335 * [taylor]: Taking taylor expansion of x in x 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 1 into 1 4.335 * [backup-simplify]: Simplify (/ -1 1) into -1 4.335 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.335 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 4.336 * [backup-simplify]: Simplify (* -1 0) into 0 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 4.336 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 4.336 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 4.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 4.337 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 4.337 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 4.339 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 4.339 * [backup-simplify]: Simplify 0 into 0 4.340 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 4.341 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 4.341 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 4.343 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 4.343 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 4.346 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 4.346 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 4.349 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 4.349 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 4.349 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.350 * [backup-simplify]: Simplify (/ (* (/ (sin x) x) (tan (/ x 2))) x) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 4.350 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 4.350 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 4.350 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 4.350 * [taylor]: Taking taylor expansion of (sin x) in x 4.350 * [taylor]: Taking taylor expansion of x in x 4.350 * [backup-simplify]: Simplify 0 into 0 4.350 * [backup-simplify]: Simplify 1 into 1 4.350 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.350 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.350 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.350 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.350 * [taylor]: Taking taylor expansion of 1/2 in x 4.350 * [backup-simplify]: Simplify 1/2 into 1/2 4.350 * [taylor]: Taking taylor expansion of x in x 4.350 * [backup-simplify]: Simplify 0 into 0 4.350 * [backup-simplify]: Simplify 1 into 1 4.350 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.351 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.351 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.351 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.351 * [taylor]: Taking taylor expansion of 1/2 in x 4.351 * [backup-simplify]: Simplify 1/2 into 1/2 4.351 * [taylor]: Taking taylor expansion of x in x 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify 1 into 1 4.351 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.351 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.352 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.352 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.352 * [taylor]: Taking taylor expansion of x in x 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 1 into 1 4.353 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.354 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.354 * [backup-simplify]: Simplify (+ 0) into 0 4.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.356 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.357 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 4.357 * [backup-simplify]: Simplify (* 1 1) into 1 4.357 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.358 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 4.358 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 4.358 * [taylor]: Taking taylor expansion of (sin x) in x 4.358 * [taylor]: Taking taylor expansion of x in x 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.358 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.358 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.358 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.358 * [taylor]: Taking taylor expansion of 1/2 in x 4.358 * [backup-simplify]: Simplify 1/2 into 1/2 4.358 * [taylor]: Taking taylor expansion of x in x 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.359 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.360 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.360 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.360 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.360 * [taylor]: Taking taylor expansion of 1/2 in x 4.360 * [backup-simplify]: Simplify 1/2 into 1/2 4.360 * [taylor]: Taking taylor expansion of x in x 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 1 into 1 4.361 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.361 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.362 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.363 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.363 * [taylor]: Taking taylor expansion of x in x 4.363 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify 1 into 1 4.363 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.365 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.366 * [backup-simplify]: Simplify (+ 0) into 0 4.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.367 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.368 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 4.368 * [backup-simplify]: Simplify (* 1 1) into 1 4.369 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.369 * [backup-simplify]: Simplify 1/2 into 1/2 4.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.372 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 4.373 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 4.374 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 4.375 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.376 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 4.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.377 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.380 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.382 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 4.386 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.387 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 4.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.389 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 4.389 * [backup-simplify]: Simplify -1/24 into -1/24 4.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.395 * [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 4.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.404 * [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 4.407 * [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 4.408 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.410 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 4.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 4.413 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.419 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.423 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 4.429 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 4.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 4.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.434 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 4.434 * [backup-simplify]: Simplify 1/720 into 1/720 4.435 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 4.435 * [backup-simplify]: Simplify (/ (* (/ (sin (/ 1 x)) (/ 1 x)) (tan (/ (/ 1 x) 2))) (/ 1 x)) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 4.435 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 4.435 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 4.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.435 * [taylor]: Taking taylor expansion of x in x 4.435 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify 1 into 1 4.435 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 4.435 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.435 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.435 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.435 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.436 * [taylor]: Taking taylor expansion of 1/2 in x 4.436 * [backup-simplify]: Simplify 1/2 into 1/2 4.436 * [taylor]: Taking taylor expansion of x in x 4.436 * [backup-simplify]: Simplify 0 into 0 4.436 * [backup-simplify]: Simplify 1 into 1 4.436 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.436 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.436 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.436 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.436 * [taylor]: Taking taylor expansion of 1/2 in x 4.436 * [backup-simplify]: Simplify 1/2 into 1/2 4.437 * [taylor]: Taking taylor expansion of x in x 4.437 * [backup-simplify]: Simplify 0 into 0 4.437 * [backup-simplify]: Simplify 1 into 1 4.437 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.437 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.437 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.437 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.437 * [taylor]: Taking taylor expansion of x in x 4.437 * [backup-simplify]: Simplify 0 into 0 4.437 * [backup-simplify]: Simplify 1 into 1 4.438 * [backup-simplify]: Simplify (/ 1 1) into 1 4.438 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.438 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 4.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.438 * [taylor]: Taking taylor expansion of x in x 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 1 into 1 4.438 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 4.438 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.438 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.438 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.438 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.438 * [taylor]: Taking taylor expansion of 1/2 in x 4.438 * [backup-simplify]: Simplify 1/2 into 1/2 4.438 * [taylor]: Taking taylor expansion of x in x 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 1 into 1 4.439 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.439 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.439 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.439 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.439 * [taylor]: Taking taylor expansion of 1/2 in x 4.439 * [backup-simplify]: Simplify 1/2 into 1/2 4.439 * [taylor]: Taking taylor expansion of x in x 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify 1 into 1 4.440 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.440 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.440 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.440 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.440 * [taylor]: Taking taylor expansion of x in x 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify 1 into 1 4.440 * [backup-simplify]: Simplify (/ 1 1) into 1 4.440 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.441 * [backup-simplify]: Simplify (* 1 1) into 1 4.441 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4.441 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4.442 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4.442 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 4.442 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 4.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.445 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 4.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.448 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 4.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.453 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 4.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.458 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 4.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 4.461 * [backup-simplify]: Simplify 0 into 0 4.462 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.464 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 4.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 4.468 * [backup-simplify]: Simplify 0 into 0 4.469 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 4.469 * [backup-simplify]: Simplify (/ (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) (/ 1 (- x))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) 4.469 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 4.469 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 4.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.469 * [taylor]: Taking taylor expansion of x in x 4.469 * [backup-simplify]: Simplify 0 into 0 4.469 * [backup-simplify]: Simplify 1 into 1 4.469 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 4.469 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.469 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.469 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.469 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.469 * [taylor]: Taking taylor expansion of -1/2 in x 4.470 * [backup-simplify]: Simplify -1/2 into -1/2 4.470 * [taylor]: Taking taylor expansion of x in x 4.470 * [backup-simplify]: Simplify 0 into 0 4.470 * [backup-simplify]: Simplify 1 into 1 4.470 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.470 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.470 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.470 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.470 * [taylor]: Taking taylor expansion of -1/2 in x 4.470 * [backup-simplify]: Simplify -1/2 into -1/2 4.470 * [taylor]: Taking taylor expansion of x in x 4.471 * [backup-simplify]: Simplify 0 into 0 4.471 * [backup-simplify]: Simplify 1 into 1 4.471 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.471 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.471 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.471 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.471 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.471 * [taylor]: Taking taylor expansion of -1 in x 4.471 * [backup-simplify]: Simplify -1 into -1 4.471 * [taylor]: Taking taylor expansion of x in x 4.471 * [backup-simplify]: Simplify 0 into 0 4.471 * [backup-simplify]: Simplify 1 into 1 4.472 * [backup-simplify]: Simplify (/ -1 1) into -1 4.472 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.472 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 4.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.472 * [taylor]: Taking taylor expansion of x in x 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 1 into 1 4.472 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 4.472 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.472 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.472 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.472 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.472 * [taylor]: Taking taylor expansion of -1/2 in x 4.472 * [backup-simplify]: Simplify -1/2 into -1/2 4.472 * [taylor]: Taking taylor expansion of x in x 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 1 into 1 4.473 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.473 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.473 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.473 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.473 * [taylor]: Taking taylor expansion of -1/2 in x 4.473 * [backup-simplify]: Simplify -1/2 into -1/2 4.473 * [taylor]: Taking taylor expansion of x in x 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.474 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.474 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.474 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.474 * [taylor]: Taking taylor expansion of -1 in x 4.474 * [backup-simplify]: Simplify -1 into -1 4.474 * [taylor]: Taking taylor expansion of x in x 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify (/ -1 1) into -1 4.475 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.475 * [backup-simplify]: Simplify (* 1 1) into 1 4.475 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4.475 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4.476 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4.476 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 4.476 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 4.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 4.477 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.478 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 4.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 4.480 * [backup-simplify]: Simplify 0 into 0 4.481 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.482 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 4.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 4.484 * [backup-simplify]: Simplify 0 into 0 4.485 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.486 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 4.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 4.489 * [backup-simplify]: Simplify 0 into 0 4.489 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.491 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 4.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 4.495 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.498 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 4.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 4.503 * * * [progress]: simplifying candidates 4.503 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 4.503 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 4.503 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 4.503 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 4.503 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 4.503 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 4.503 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 4.503 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 4.503 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 4.503 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 4.503 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 4.503 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 4.503 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 4.503 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 4.503 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 4.504 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 4.504 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 4.504 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 4.504 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 4.504 * * * * [progress]: [ 20 / 105 ] simplifiying candidate # 4.504 * * * * [progress]: [ 21 / 105 ] simplifiying candidate # 4.504 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 4.504 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 4.504 * * * * [progress]: [ 24 / 105 ] simplifiying candidate # 4.504 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 4.504 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 4.504 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 4.504 * * * * [progress]: [ 28 / 105 ] simplifiying candidate # 4.504 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 4.504 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 4.504 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 4.505 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 4.505 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 4.505 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 4.505 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 4.505 * * * * [progress]: [ 36 / 105 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (tan (/ x 2))))) x))> 4.505 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 4.505 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 4.505 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 4.505 * * * * [progress]: [ 40 / 105 ] simplifiying candidate # 4.505 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 4.505 * * * * [progress]: [ 42 / 105 ] simplifiying candidate # 4.505 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 4.505 * * * * [progress]: [ 44 / 105 ] simplifiying candidate # 4.505 * * * * [progress]: [ 45 / 105 ] simplifiying candidate # 4.505 * * * * [progress]: [ 46 / 105 ] simplifiying candidate # 4.505 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 4.505 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 4.506 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 4.506 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 4.506 * * * * [progress]: [ 51 / 105 ] simplifiying candidate # 4.506 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 4.506 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 4.506 * * * * [progress]: [ 54 / 105 ] simplifiying candidate # 4.506 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 4.506 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 4.506 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 4.506 * * * * [progress]: [ 58 / 105 ] simplifiying candidate # 4.506 * * * * [progress]: [ 59 / 105 ] simplifiying candidate # 4.506 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 4.506 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 4.506 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 4.506 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 4.506 * * * * [progress]: [ 64 / 105 ] simplifiying candidate # 4.506 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 4.507 * * * * [progress]: [ 66 / 105 ] simplifiying candidate # 4.507 * * * * [progress]: [ 67 / 105 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (tan (/ x 2))) x))> 4.507 * * * * [progress]: [ 68 / 105 ] simplifiying candidate # 4.507 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 4.507 * * * * [progress]: [ 70 / 105 ] simplifiying candidate # 4.507 * * * * [progress]: [ 71 / 105 ] simplifiying candidate # 4.507 * * * * [progress]: [ 72 / 105 ] simplifiying candidate # 4.507 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 4.507 * * * * [progress]: [ 74 / 105 ] simplifiying candidate # 4.507 * * * * [progress]: [ 75 / 105 ] simplifiying candidate # 4.507 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 4.507 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 4.507 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 4.507 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 4.507 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 4.507 * * * * [progress]: [ 81 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 92 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 93 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 96 / 105 ] simplifiying candidate #real (real->posit16 (/ (* (/ (sin x) x) (tan (/ x 2))) x))))> 4.508 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 4.508 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 4.509 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 4.509 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 4.509 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 4.509 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 4.509 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 4.510 * [simplify]: Simplifying: (expm1 (* (/ (sin x) x) (tan (/ x 2)))) (log1p (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2))) (+ (- (log (sin x)) (log x)) (log (tan (/ x 2)))) (+ (log (/ (sin x) x)) (log (tan (/ x 2)))) (log (* (/ (sin x) x) (tan (/ x 2)))) (exp (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (cbrt (* (/ (sin x) x) (tan (/ x 2)))) (cbrt (* (/ (sin x) x) (tan (/ x 2))))) (cbrt (* (/ (sin x) x) (tan (/ x 2)))) (* (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2)))) (sqrt (* (/ (sin x) x) (tan (/ x 2)))) (sqrt (* (/ (sin x) x) (tan (/ x 2)))) (* (sin x) (sin (/ x 2))) (* x (cos (/ x 2))) (* (sqrt (/ (sin x) x)) (sqrt (tan (/ x 2)))) (* (sqrt (/ (sin x) x)) (sqrt (tan (/ x 2)))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (sin x) x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (* (/ (sin x) x) (sqrt (tan (/ x 2)))) (* (/ (sin x) x) 1) (* (cbrt (/ (sin x) x)) (tan (/ x 2))) (* (sqrt (/ (sin x) x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) (cbrt x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) (sqrt x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) x) (tan (/ x 2))) (* (/ (sqrt (sin x)) (cbrt x)) (tan (/ x 2))) (* (/ (sqrt (sin x)) (sqrt x)) (tan (/ x 2))) (* (/ (sqrt (sin x)) x) (tan (/ x 2))) (* (/ (sin x) (cbrt x)) (tan (/ x 2))) (* (/ (sin x) (sqrt x)) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))) (* (/ 1 x) (tan (/ x 2))) (* (/ (sin x) x) (sin (/ x 2))) (* (sin x) (tan (/ x 2))) (real->posit16 (* (/ (sin x) x) (tan (/ x 2)))) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (- (log (sin x)) (log x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) (/ 1 1) (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (/ (sin x) 1) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (log1p (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (- (+ (- (log (sin x)) (log x)) (log (tan (/ x 2)))) (log x)) (- (+ (log (/ (sin x) x)) (log (tan (/ x 2)))) (log x)) (- (log (* (/ (sin x) x) (tan (/ x 2)))) (log 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) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* x x) x)) (/ (* (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2)))) (* (* x x) 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) x) (tan (/ x 2)))) (- x) (/ (/ (sin x) x) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ (/ (sin x) x) (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) (/ (/ (sin x) x) 1) (/ (tan (/ x 2)) x) (/ 1 x) (/ x (* (/ (sin x) x) (tan (/ x 2)))) (/ (* (/ (sin x) x) (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (* (/ (sin x) x) (tan (/ x 2))) (sqrt x)) (/ (* (/ (sin x) x) (tan (/ x 2))) 1) (/ x (tan (/ x 2))) (* x (* x (cos (/ x 2)))) (* x (cos (/ x 2))) (* x x) (real->posit16 (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 4.511 * * [simplify]: iteration 1: (160 enodes) 4.556 * * [simplify]: iteration 2: (662 enodes) 4.726 * * [simplify]: iteration 3: (1543 enodes) 6.068 * * [simplify]: Extracting #0: cost 88 inf + 0 6.070 * * [simplify]: Extracting #1: cost 821 inf + 1 6.077 * * [simplify]: Extracting #2: cost 1454 inf + 3902 6.104 * * [simplify]: Extracting #3: cost 1125 inf + 90251 6.204 * * [simplify]: Extracting #4: cost 291 inf + 378224 6.361 * * [simplify]: Extracting #5: cost 21 inf + 490285 6.515 * * [simplify]: Extracting #6: cost 0 inf + 498664 6.669 * * [simplify]: Extracting #7: cost 0 inf + 498624 6.787 * [simplify]: Simplified to: (expm1 (/ (tan (/ x 2)) (/ x (sin x)))) (log1p (/ (tan (/ x 2)) (/ x (sin x)))) (/ (tan (/ x 2)) (/ x (sin x))) (log (/ (tan (/ x 2)) (/ x (sin x)))) (log (/ (tan (/ x 2)) (/ x (sin x)))) (log (/ (tan (/ x 2)) (/ x (sin x)))) (exp (/ (tan (/ x 2)) (/ x (sin x)))) (* (/ (tan (/ x 2)) (/ x (sin x))) (* (/ (tan (/ x 2)) (/ x (sin x))) (/ (tan (/ x 2)) (/ x (sin x))))) (* (/ (tan (/ x 2)) (/ x (sin x))) (* (/ (tan (/ x 2)) (/ x (sin x))) (/ (tan (/ x 2)) (/ x (sin x))))) (* (cbrt (/ (tan (/ x 2)) (/ x (sin x)))) (cbrt (/ (tan (/ x 2)) (/ x (sin x))))) (cbrt (/ (tan (/ x 2)) (/ x (sin x)))) (* (/ (tan (/ x 2)) (/ x (sin x))) (* (/ (tan (/ x 2)) (/ x (sin x))) (/ (tan (/ x 2)) (/ x (sin x))))) (sqrt (/ (tan (/ x 2)) (/ x (sin x)))) (sqrt (/ (tan (/ x 2)) (/ x (sin x)))) (* (sin x) (sin (/ x 2))) (* (cos (/ x 2)) x) (* (sqrt (tan (/ x 2))) (sqrt (/ (sin x) x))) (* (sqrt (tan (/ x 2))) (sqrt (/ (sin x) x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (sin x) x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (/ (sin x) (/ x (sqrt (tan (/ x 2))))) (/ (sin x) x) (* (cbrt (/ (sin x) x)) (tan (/ x 2))) (* (tan (/ x 2)) (sqrt (/ (sin x) x))) (* (tan (/ x 2)) (/ (cbrt (sin x)) (cbrt x))) (* (/ (cbrt (sin x)) (sqrt x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) x) (tan (/ x 2))) (* (/ (sqrt (sin x)) (cbrt x)) (tan (/ x 2))) (* (tan (/ x 2)) (/ (sqrt (sin x)) (sqrt x))) (/ (sqrt (sin x)) (/ x (tan (/ x 2)))) (* (/ (sin x) (cbrt x)) (tan (/ x 2))) (* (/ (sin x) (sqrt x)) (tan (/ x 2))) (/ (tan (/ x 2)) (/ x (sin x))) (/ (tan (/ x 2)) (/ x (sin x))) (/ (tan (/ x 2)) x) (/ (sin x) (/ x (sin (/ x 2)))) (* (tan (/ x 2)) (sin x)) (real->posit16 (/ (tan (/ x 2)) (/ x (sin x)))) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (log (/ (sin x) x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (* (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (* (cbrt (sin x)) (/ (cbrt (sin x)) (sqrt x))) (/ (cbrt (sin x)) (sqrt x)) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (sqrt (sin x)) (/ (sqrt (sin x)) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) 1 (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (sin x) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (/ (/ (tan (/ x 2)) (/ x (sin x))) x)) (log1p (/ (/ (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)) (* (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)) (* (/ (sin x) x) (- (tan (/ x 2)))) (- x) (/ (/ (sin x) (cbrt x)) (* x (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ (sin x) (* x (sqrt x))) (/ (tan (/ x 2)) (sqrt x)) (/ (sin x) x) (/ (tan (/ x 2)) x) (/ 1 x) (/ (/ (* x x) (sin x)) (tan (/ x 2))) (/ (* (/ (sin x) x) (/ (tan (/ x 2)) (cbrt x))) (cbrt x)) (* (/ (sin x) (sqrt x)) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) (/ x (sin x))) (/ x (tan (/ x 2))) (* (* x x) (cos (/ x 2))) (* (cos (/ x 2)) x) (* x x) (real->posit16 (/ (/ (tan (/ x 2)) (/ x (sin x))) x)) (fma (pow x 5) 1/720 (* x (- 1/2 (* (* x x) 1/24)))) (/ (sin (* 1/2 x)) (* (/ (cos (* 1/2 x)) (sin x)) x)) (/ (sin (* 1/2 x)) (* (/ (cos (* 1/2 x)) (sin x)) x)) (fma -1/6 (* x x) (fma 1/120 (* (* x x) (* x x)) 1)) (/ (sin x) x) (/ (sin x) x) (fma -1/24 (* x x) (fma 1/720 (* (* x x) (* x x)) 1/2)) (* (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (/ (sin x) (* x x))) (* (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (/ (sin x) (* x x))) 6.794 * * * [progress]: adding candidates to table 7.683 * * [progress]: iteration 4 / 4 7.683 * * * [progress]: picking best candidate 7.698 * * * * [pick]: Picked # 7.698 * * * [progress]: localizing error 7.718 * * * [progress]: generating rewritten candidates 7.718 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 7.723 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 7.731 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 7.752 * * * [progress]: generating series expansions 7.753 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 7.753 * [backup-simplify]: Simplify (/ x (tan (/ x 2))) into (/ x (tan (* 1/2 x))) 7.753 * [approximate]: Taking taylor expansion of (/ x (tan (* 1/2 x))) in (x) around 0 7.753 * [taylor]: Taking taylor expansion of (/ x (tan (* 1/2 x))) in x 7.753 * [taylor]: Taking taylor expansion of x in x 7.753 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify 1 into 1 7.753 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.753 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.753 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.753 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.753 * [taylor]: Taking taylor expansion of 1/2 in x 7.753 * [backup-simplify]: Simplify 1/2 into 1/2 7.753 * [taylor]: Taking taylor expansion of x in x 7.753 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify 1 into 1 7.756 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.756 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.756 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.756 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.756 * [taylor]: Taking taylor expansion of 1/2 in x 7.756 * [backup-simplify]: Simplify 1/2 into 1/2 7.756 * [taylor]: Taking taylor expansion of x in x 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify 1 into 1 7.757 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.757 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.758 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.758 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.758 * [backup-simplify]: Simplify (/ 1 1/2) into 2 7.758 * [taylor]: Taking taylor expansion of (/ x (tan (* 1/2 x))) in x 7.758 * [taylor]: Taking taylor expansion of x in x 7.759 * [backup-simplify]: Simplify 0 into 0 7.759 * [backup-simplify]: Simplify 1 into 1 7.759 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.759 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.759 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.759 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.759 * [taylor]: Taking taylor expansion of 1/2 in x 7.759 * [backup-simplify]: Simplify 1/2 into 1/2 7.759 * [taylor]: Taking taylor expansion of x in x 7.759 * [backup-simplify]: Simplify 0 into 0 7.759 * [backup-simplify]: Simplify 1 into 1 7.759 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.759 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.759 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.759 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.759 * [taylor]: Taking taylor expansion of 1/2 in x 7.760 * [backup-simplify]: Simplify 1/2 into 1/2 7.760 * [taylor]: Taking taylor expansion of x in x 7.760 * [backup-simplify]: Simplify 0 into 0 7.760 * [backup-simplify]: Simplify 1 into 1 7.760 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.760 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.761 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.761 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.761 * [backup-simplify]: Simplify (/ 1 1/2) into 2 7.761 * [backup-simplify]: Simplify 2 into 2 7.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.762 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.763 * [backup-simplify]: Simplify (+ 0) into 0 7.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.764 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)))) into 0 7.764 * [backup-simplify]: Simplify 0 into 0 7.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.765 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 7.766 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 7.767 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 7.767 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 1/24 1/2)) (* 0 (/ 0 1/2)))) into -1/6 7.767 * [backup-simplify]: Simplify -1/6 into -1/6 7.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.769 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.770 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 7.772 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)) (* 0 (/ 1/24 1/2)) (* -1/6 (/ 0 1/2)))) into 0 7.772 * [backup-simplify]: Simplify 0 into 0 7.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.775 * [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 7.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.777 * [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 7.779 * [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 7.780 * [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 7.780 * [backup-simplify]: Simplify -1/360 into -1/360 7.780 * [backup-simplify]: Simplify (+ (* -1/360 (pow x 4)) (+ (* -1/6 (pow x 2)) 2)) into (- 2 (+ (* 1/6 (pow x 2)) (* 1/360 (pow x 4)))) 7.780 * [backup-simplify]: Simplify (/ (/ 1 x) (tan (/ (/ 1 x) 2))) into (/ 1 (* x (tan (/ 1/2 x)))) 7.780 * [approximate]: Taking taylor expansion of (/ 1 (* x (tan (/ 1/2 x)))) in (x) around 0 7.780 * [taylor]: Taking taylor expansion of (/ 1 (* x (tan (/ 1/2 x)))) in x 7.780 * [taylor]: Taking taylor expansion of (* x (tan (/ 1/2 x))) in x 7.780 * [taylor]: Taking taylor expansion of x in x 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.780 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.780 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.780 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.780 * [taylor]: Taking taylor expansion of 1/2 in x 7.780 * [backup-simplify]: Simplify 1/2 into 1/2 7.780 * [taylor]: Taking taylor expansion of x in x 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.781 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.781 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.781 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.781 * [taylor]: Taking taylor expansion of 1/2 in x 7.781 * [backup-simplify]: Simplify 1/2 into 1/2 7.781 * [taylor]: Taking taylor expansion of x in x 7.781 * [backup-simplify]: Simplify 0 into 0 7.781 * [backup-simplify]: Simplify 1 into 1 7.781 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.781 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.781 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.781 * [backup-simplify]: Simplify (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into 0 7.781 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 7.782 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.782 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) 7.782 * [taylor]: Taking taylor expansion of (/ 1 (* x (tan (/ 1/2 x)))) in x 7.782 * [taylor]: Taking taylor expansion of (* x (tan (/ 1/2 x))) in x 7.782 * [taylor]: Taking taylor expansion of x in x 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 1 into 1 7.782 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.782 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.782 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.782 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.782 * [taylor]: Taking taylor expansion of 1/2 in x 7.782 * [backup-simplify]: Simplify 1/2 into 1/2 7.782 * [taylor]: Taking taylor expansion of x in x 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 1 into 1 7.782 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.782 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.782 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.782 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.782 * [taylor]: Taking taylor expansion of 1/2 in x 7.782 * [backup-simplify]: Simplify 1/2 into 1/2 7.782 * [taylor]: Taking taylor expansion of x in x 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 1 into 1 7.783 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.783 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.783 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.783 * [backup-simplify]: Simplify (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into 0 7.783 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 7.783 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.783 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) 7.784 * [backup-simplify]: Simplify (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) 7.784 * [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 7.785 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0 7.785 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0 7.785 * [backup-simplify]: Simplify 0 into 0 7.785 * [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 7.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0 7.786 * [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 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [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 7.787 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0 7.788 * [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 7.788 * [backup-simplify]: Simplify 0 into 0 7.788 * [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 7.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0 7.794 * [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 7.794 * [backup-simplify]: Simplify 0 into 0 7.794 * [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 7.797 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0 7.797 * [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 7.797 * [backup-simplify]: Simplify 0 into 0 7.798 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))))) into 0 7.802 * [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 7.802 * [backup-simplify]: Simplify 0 into 0 7.802 * [backup-simplify]: Simplify (* (/ (cos (/ 1/2 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (/ 1 (/ 1 x))) into (/ (* (cos (* 1/2 x)) x) (sin (* 1/2 x))) 7.802 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (tan (/ (/ 1 (- x)) 2))) into (/ -1 (* x (tan (/ -1/2 x)))) 7.802 * [approximate]: Taking taylor expansion of (/ -1 (* x (tan (/ -1/2 x)))) in (x) around 0 7.802 * [taylor]: Taking taylor expansion of (/ -1 (* x (tan (/ -1/2 x)))) in x 7.802 * [taylor]: Taking taylor expansion of -1 in x 7.802 * [backup-simplify]: Simplify -1 into -1 7.802 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 7.803 * [taylor]: Taking taylor expansion of x in x 7.803 * [backup-simplify]: Simplify 0 into 0 7.803 * [backup-simplify]: Simplify 1 into 1 7.803 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.803 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.803 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.803 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.803 * [taylor]: Taking taylor expansion of -1/2 in x 7.803 * [backup-simplify]: Simplify -1/2 into -1/2 7.803 * [taylor]: Taking taylor expansion of x in x 7.803 * [backup-simplify]: Simplify 0 into 0 7.803 * [backup-simplify]: Simplify 1 into 1 7.803 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.803 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.803 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.803 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.803 * [taylor]: Taking taylor expansion of -1/2 in x 7.803 * [backup-simplify]: Simplify -1/2 into -1/2 7.804 * [taylor]: Taking taylor expansion of x in x 7.804 * [backup-simplify]: Simplify 0 into 0 7.804 * [backup-simplify]: Simplify 1 into 1 7.804 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.804 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.804 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.804 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 7.805 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 7.805 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.805 * [backup-simplify]: Simplify (/ -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (* -1 (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))) 7.805 * [taylor]: Taking taylor expansion of (/ -1 (* x (tan (/ -1/2 x)))) in x 7.805 * [taylor]: Taking taylor expansion of -1 in x 7.805 * [backup-simplify]: Simplify -1 into -1 7.805 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 7.805 * [taylor]: Taking taylor expansion of x in x 7.805 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify 1 into 1 7.805 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.805 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.805 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.805 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.805 * [taylor]: Taking taylor expansion of -1/2 in x 7.805 * [backup-simplify]: Simplify -1/2 into -1/2 7.805 * [taylor]: Taking taylor expansion of x in x 7.805 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify 1 into 1 7.806 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.806 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.806 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.806 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.806 * [taylor]: Taking taylor expansion of -1/2 in x 7.806 * [backup-simplify]: Simplify -1/2 into -1/2 7.806 * [taylor]: Taking taylor expansion of x in x 7.806 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify 1 into 1 7.806 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.806 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.806 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.806 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 7.806 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 7.807 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.807 * [backup-simplify]: Simplify (/ -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (* -1 (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))) 7.807 * [backup-simplify]: Simplify (* -1 (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))) into (* -1 (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))) 7.807 * [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 7.808 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 7.808 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (+ (* (* -1 (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 7.808 * [backup-simplify]: Simplify 0 into 0 7.808 * [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 7.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 7.809 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (+ (* (* -1 (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 7.809 * [backup-simplify]: Simplify 0 into 0 7.810 * [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 7.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 7.811 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (+ (* (* -1 (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 7.811 * [backup-simplify]: Simplify 0 into 0 7.811 * [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 7.813 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 7.813 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (+ (* (* -1 (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 7.813 * [backup-simplify]: Simplify 0 into 0 7.813 * [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 7.815 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 7.815 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (+ (* (* -1 (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 7.815 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.817 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0 7.818 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (+ (* (* -1 (/ (cos (/ -1/2 x)) (sin (/ -1/2 x)))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 7.818 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify (* (* -1 (/ (cos (/ -1/2 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x)))))) (/ 1 (/ 1 (- x)))) into (/ (* (cos (* 1/2 x)) x) (sin (* 1/2 x))) 7.818 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 7.818 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 7.818 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 7.818 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 7.818 * [taylor]: Taking taylor expansion of (sin x) in x 7.818 * [taylor]: Taking taylor expansion of x in x 7.818 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify 1 into 1 7.818 * [taylor]: Taking taylor expansion of x in x 7.818 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify 1 into 1 7.820 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.820 * [backup-simplify]: Simplify (/ 1 1) into 1 7.820 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 7.820 * [taylor]: Taking taylor expansion of (sin x) in x 7.820 * [taylor]: Taking taylor expansion of x in x 7.820 * [backup-simplify]: Simplify 0 into 0 7.820 * [backup-simplify]: Simplify 1 into 1 7.820 * [taylor]: Taking taylor expansion of x in x 7.820 * [backup-simplify]: Simplify 0 into 0 7.820 * [backup-simplify]: Simplify 1 into 1 7.820 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.821 * [backup-simplify]: Simplify (/ 1 1) into 1 7.821 * [backup-simplify]: Simplify 1 into 1 7.821 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 7.822 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.823 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 7.823 * [backup-simplify]: Simplify -1/6 into -1/6 7.824 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 7.825 * [backup-simplify]: Simplify 0 into 0 7.827 * [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 7.828 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 7.828 * [backup-simplify]: Simplify 1/120 into 1/120 7.828 * [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))) 7.828 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 7.828 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 7.828 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 7.828 * [taylor]: Taking taylor expansion of x in x 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify 1 into 1 7.828 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.828 * [taylor]: Taking taylor expansion of x in x 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify 1 into 1 7.828 * [backup-simplify]: Simplify (/ 1 1) into 1 7.828 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.828 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 7.828 * [taylor]: Taking taylor expansion of x in x 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify 1 into 1 7.829 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.829 * [taylor]: Taking taylor expansion of x in x 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify 1 into 1 7.829 * [backup-simplify]: Simplify (/ 1 1) into 1 7.829 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.829 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 7.829 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 7.830 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 7.831 * [backup-simplify]: Simplify 0 into 0 7.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 7.832 * [backup-simplify]: Simplify 0 into 0 7.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 7.833 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 7.834 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 7.836 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 7.836 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 7.836 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 7.836 * [taylor]: Taking taylor expansion of -1 in x 7.836 * [backup-simplify]: Simplify -1 into -1 7.836 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 7.836 * [taylor]: Taking taylor expansion of x in x 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify 1 into 1 7.836 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.836 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.836 * [taylor]: Taking taylor expansion of -1 in x 7.836 * [backup-simplify]: Simplify -1 into -1 7.836 * [taylor]: Taking taylor expansion of x in x 7.836 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify 1 into 1 7.837 * [backup-simplify]: Simplify (/ -1 1) into -1 7.837 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.837 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 7.837 * [taylor]: Taking taylor expansion of -1 in x 7.837 * [backup-simplify]: Simplify -1 into -1 7.837 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 7.837 * [taylor]: Taking taylor expansion of x in x 7.837 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify 1 into 1 7.837 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.837 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.837 * [taylor]: Taking taylor expansion of -1 in x 7.837 * [backup-simplify]: Simplify -1 into -1 7.837 * [taylor]: Taking taylor expansion of x in x 7.837 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify 1 into 1 7.837 * [backup-simplify]: Simplify (/ -1 1) into -1 7.837 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.837 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 7.838 * [backup-simplify]: Simplify (* -1 0) into 0 7.838 * [backup-simplify]: Simplify 0 into 0 7.838 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 7.838 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 7.838 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 7.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 7.839 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 7.839 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 7.841 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 7.841 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 7.843 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 7.843 * [backup-simplify]: Simplify 0 into 0 7.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 7.845 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 7.845 * [backup-simplify]: Simplify 0 into 0 7.847 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 7.848 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 7.848 * [backup-simplify]: Simplify 0 into 0 7.850 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 7.851 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 7.851 * [backup-simplify]: Simplify 0 into 0 7.851 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 7.851 * * * * [progress]: [ 3 / 3 ] generating series at (2) 7.852 * [backup-simplify]: Simplify (/ (/ (sin x) x) (/ x (tan (/ x 2)))) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 7.852 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 7.852 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 7.852 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 7.852 * [taylor]: Taking taylor expansion of (sin x) in x 7.852 * [taylor]: Taking taylor expansion of x in x 7.852 * [backup-simplify]: Simplify 0 into 0 7.852 * [backup-simplify]: Simplify 1 into 1 7.852 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.852 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.852 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.852 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.852 * [taylor]: Taking taylor expansion of 1/2 in x 7.852 * [backup-simplify]: Simplify 1/2 into 1/2 7.852 * [taylor]: Taking taylor expansion of x in x 7.852 * [backup-simplify]: Simplify 0 into 0 7.852 * [backup-simplify]: Simplify 1 into 1 7.852 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.853 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.853 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.853 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.853 * [taylor]: Taking taylor expansion of 1/2 in x 7.853 * [backup-simplify]: Simplify 1/2 into 1/2 7.853 * [taylor]: Taking taylor expansion of x in x 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 1 into 1 7.853 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.854 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.854 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.854 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.854 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.854 * [taylor]: Taking taylor expansion of x in x 7.854 * [backup-simplify]: Simplify 0 into 0 7.854 * [backup-simplify]: Simplify 1 into 1 7.855 * [backup-simplify]: Simplify (* 0 1/2) into 0 7.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.856 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.856 * [backup-simplify]: Simplify (+ 0) into 0 7.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.857 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.857 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 7.857 * [backup-simplify]: Simplify (* 1 1) into 1 7.858 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.858 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 7.858 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 7.858 * [taylor]: Taking taylor expansion of (sin x) in x 7.858 * [taylor]: Taking taylor expansion of x in x 7.858 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify 1 into 1 7.858 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.858 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.858 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.858 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.858 * [taylor]: Taking taylor expansion of 1/2 in x 7.858 * [backup-simplify]: Simplify 1/2 into 1/2 7.858 * [taylor]: Taking taylor expansion of x in x 7.858 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify 1 into 1 7.858 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.859 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.859 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.859 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.859 * [taylor]: Taking taylor expansion of 1/2 in x 7.859 * [backup-simplify]: Simplify 1/2 into 1/2 7.859 * [taylor]: Taking taylor expansion of x in x 7.859 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify 1 into 1 7.859 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.859 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.860 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.860 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.860 * [taylor]: Taking taylor expansion of x in x 7.860 * [backup-simplify]: Simplify 0 into 0 7.860 * [backup-simplify]: Simplify 1 into 1 7.861 * [backup-simplify]: Simplify (* 0 1/2) into 0 7.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.862 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.862 * [backup-simplify]: Simplify (+ 0) into 0 7.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.863 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.863 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 7.863 * [backup-simplify]: Simplify (* 1 1) into 1 7.864 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.864 * [backup-simplify]: Simplify 1/2 into 1/2 7.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.865 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 7.866 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 7.867 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 7.867 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.868 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 7.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.870 * [backup-simplify]: Simplify 0 into 0 7.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.873 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.875 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 7.878 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 7.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.881 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 7.881 * [backup-simplify]: Simplify -1/24 into -1/24 7.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.890 * [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 7.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.894 * [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 7.896 * [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 7.897 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.899 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 7.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 7.901 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.907 * [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 7.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.910 * [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 7.912 * [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 7.916 * [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 7.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 7.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.920 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 7.920 * [backup-simplify]: Simplify 1/720 into 1/720 7.920 * [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))) 7.921 * [backup-simplify]: Simplify (/ (/ (sin (/ 1 x)) (/ 1 x)) (/ (/ 1 x) (tan (/ (/ 1 x) 2)))) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 7.921 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 7.921 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 7.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.921 * [taylor]: Taking taylor expansion of x in x 7.921 * [backup-simplify]: Simplify 0 into 0 7.921 * [backup-simplify]: Simplify 1 into 1 7.921 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 7.921 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.921 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.921 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.921 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.921 * [taylor]: Taking taylor expansion of 1/2 in x 7.921 * [backup-simplify]: Simplify 1/2 into 1/2 7.921 * [taylor]: Taking taylor expansion of x in x 7.921 * [backup-simplify]: Simplify 0 into 0 7.921 * [backup-simplify]: Simplify 1 into 1 7.922 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.922 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.922 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.922 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.922 * [taylor]: Taking taylor expansion of 1/2 in x 7.922 * [backup-simplify]: Simplify 1/2 into 1/2 7.922 * [taylor]: Taking taylor expansion of x in x 7.922 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify 1 into 1 7.922 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.922 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.923 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.923 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.923 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.923 * [taylor]: Taking taylor expansion of x in x 7.923 * [backup-simplify]: Simplify 0 into 0 7.923 * [backup-simplify]: Simplify 1 into 1 7.923 * [backup-simplify]: Simplify (/ 1 1) into 1 7.923 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.923 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 7.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.923 * [taylor]: Taking taylor expansion of x in x 7.923 * [backup-simplify]: Simplify 0 into 0 7.923 * [backup-simplify]: Simplify 1 into 1 7.923 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 7.923 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.923 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.923 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.923 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.923 * [taylor]: Taking taylor expansion of 1/2 in x 7.923 * [backup-simplify]: Simplify 1/2 into 1/2 7.923 * [taylor]: Taking taylor expansion of x in x 7.923 * [backup-simplify]: Simplify 0 into 0 7.924 * [backup-simplify]: Simplify 1 into 1 7.924 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.924 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.924 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.924 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.924 * [taylor]: Taking taylor expansion of 1/2 in x 7.924 * [backup-simplify]: Simplify 1/2 into 1/2 7.924 * [taylor]: Taking taylor expansion of x in x 7.924 * [backup-simplify]: Simplify 0 into 0 7.924 * [backup-simplify]: Simplify 1 into 1 7.925 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.925 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.925 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.925 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.925 * [taylor]: Taking taylor expansion of x in x 7.925 * [backup-simplify]: Simplify 0 into 0 7.925 * [backup-simplify]: Simplify 1 into 1 7.925 * [backup-simplify]: Simplify (/ 1 1) into 1 7.925 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.926 * [backup-simplify]: Simplify (* 1 1) into 1 7.926 * [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))) 7.926 * [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))) 7.926 * [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))) 7.927 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 7.927 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 7.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.929 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 7.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 7.931 * [backup-simplify]: Simplify 0 into 0 7.931 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.932 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 7.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 7.934 * [backup-simplify]: Simplify 0 into 0 7.935 * [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 7.936 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 7.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.939 * [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 7.939 * [backup-simplify]: Simplify 0 into 0 7.939 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.941 * [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 7.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.944 * [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 7.944 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.947 * [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 7.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 7.950 * [backup-simplify]: Simplify 0 into 0 7.950 * [backup-simplify]: Simplify (* (/ (* (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))) 7.951 * [backup-simplify]: Simplify (/ (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (/ 1 (- x)) (tan (/ (/ 1 (- x)) 2)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) 7.951 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 7.951 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 7.951 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.951 * [taylor]: Taking taylor expansion of x in x 7.951 * [backup-simplify]: Simplify 0 into 0 7.951 * [backup-simplify]: Simplify 1 into 1 7.951 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 7.951 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.951 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.951 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.951 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.951 * [taylor]: Taking taylor expansion of -1/2 in x 7.951 * [backup-simplify]: Simplify -1/2 into -1/2 7.952 * [taylor]: Taking taylor expansion of x in x 7.952 * [backup-simplify]: Simplify 0 into 0 7.952 * [backup-simplify]: Simplify 1 into 1 7.952 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.952 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.952 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.952 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.952 * [taylor]: Taking taylor expansion of -1/2 in x 7.952 * [backup-simplify]: Simplify -1/2 into -1/2 7.952 * [taylor]: Taking taylor expansion of x in x 7.952 * [backup-simplify]: Simplify 0 into 0 7.953 * [backup-simplify]: Simplify 1 into 1 7.953 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.953 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.953 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.953 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.953 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.953 * [taylor]: Taking taylor expansion of -1 in x 7.953 * [backup-simplify]: Simplify -1 into -1 7.953 * [taylor]: Taking taylor expansion of x in x 7.953 * [backup-simplify]: Simplify 0 into 0 7.953 * [backup-simplify]: Simplify 1 into 1 7.954 * [backup-simplify]: Simplify (/ -1 1) into -1 7.954 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.954 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 7.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.954 * [taylor]: Taking taylor expansion of x in x 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify 1 into 1 7.954 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 7.954 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.954 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.954 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.954 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.954 * [taylor]: Taking taylor expansion of -1/2 in x 7.954 * [backup-simplify]: Simplify -1/2 into -1/2 7.954 * [taylor]: Taking taylor expansion of x in x 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify 1 into 1 7.955 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.955 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.955 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.955 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.955 * [taylor]: Taking taylor expansion of -1/2 in x 7.955 * [backup-simplify]: Simplify -1/2 into -1/2 7.955 * [taylor]: Taking taylor expansion of x in x 7.955 * [backup-simplify]: Simplify 0 into 0 7.955 * [backup-simplify]: Simplify 1 into 1 7.955 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.955 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.955 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.955 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.955 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.956 * [taylor]: Taking taylor expansion of -1 in x 7.956 * [backup-simplify]: Simplify -1 into -1 7.956 * [taylor]: Taking taylor expansion of x in x 7.956 * [backup-simplify]: Simplify 0 into 0 7.956 * [backup-simplify]: Simplify 1 into 1 7.956 * [backup-simplify]: Simplify (/ -1 1) into -1 7.956 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.956 * [backup-simplify]: Simplify (* 1 1) into 1 7.957 * [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))) 7.957 * [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))) 7.957 * [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))) 7.957 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 7.958 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 7.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 7.959 * [backup-simplify]: Simplify 0 into 0 7.959 * [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 7.960 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 7.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 7.961 * [backup-simplify]: Simplify 0 into 0 7.962 * [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 7.963 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 7.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 7.965 * [backup-simplify]: Simplify 0 into 0 7.965 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.967 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 7.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.969 * [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 7.969 * [backup-simplify]: Simplify 0 into 0 7.970 * [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 7.971 * [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 7.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.975 * [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 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.976 * [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 7.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.979 * [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 7.979 * [backup-simplify]: Simplify 0 into 0 7.979 * [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))) 7.979 * * * [progress]: simplifying candidates 7.979 * * * * [progress]: [ 1 / 302 ] simplifiying candidate # 7.979 * * * * [progress]: [ 2 / 302 ] simplifiying candidate # 7.979 * * * * [progress]: [ 3 / 302 ] simplifiying candidate # 7.979 * * * * [progress]: [ 4 / 302 ] simplifiying candidate # 7.979 * * * * [progress]: [ 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7.991 * * * * [progress]: [ 296 / 302 ] simplifiying candidate # 7.991 * * * * [progress]: [ 297 / 302 ] simplifiying candidate # 7.991 * * * * [progress]: [ 298 / 302 ] simplifiying candidate # 7.991 * * * * [progress]: [ 299 / 302 ] simplifiying candidate # 7.991 * * * * [progress]: [ 300 / 302 ] simplifiying candidate # 7.991 * * * * [progress]: [ 301 / 302 ] simplifiying candidate # 7.991 * * * * [progress]: [ 302 / 302 ] simplifiying candidate # 7.994 * [simplify]: Simplifying: (expm1 (/ x (tan (/ x 2)))) (log1p (/ x (tan (/ x 2)))) (- (log x) (log (tan (/ x 2)))) (log (/ x (tan (/ x 2)))) (exp (/ x (tan (/ x 2)))) (/ (* (* x x) x) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (cbrt (/ x (tan (/ x 2)))) (cbrt (/ x (tan (/ x 2))))) (cbrt (/ x (tan (/ x 2)))) (* (* (/ x (tan (/ x 2))) (/ x (tan (/ x 2)))) (/ x (tan (/ x 2)))) (sqrt (/ x (tan (/ x 2)))) (sqrt (/ x (tan (/ x 2)))) (- x) (- (tan (/ x 2))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) 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(sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 8.001 * * [simplify]: iteration 1: (503 enodes) 8.205 * * [simplify]: Extracting #0: cost 398 inf + 0 8.209 * * [simplify]: Extracting #1: cost 1272 inf + 246 8.218 * * [simplify]: Extracting #2: cost 1189 inf + 21383 8.237 * * [simplify]: Extracting #3: cost 881 inf + 97887 8.289 * * [simplify]: Extracting #4: cost 363 inf + 284026 8.366 * * [simplify]: Extracting #5: cost 32 inf + 425304 8.447 * * [simplify]: Extracting #6: cost 0 inf + 440102 8.518 * [simplify]: Simplified to: (expm1 (/ x (tan (/ x 2)))) (log1p (/ x (tan (/ x 2)))) (log (/ x (tan (/ x 2)))) (log (/ x (tan (/ x 2)))) (exp (/ x (tan (/ x 2)))) (/ (/ (* (* x x) x) (* (tan (/ x 2)) (tan (/ x 2)))) (tan (/ x 2))) (* (cbrt (/ x (tan (/ x 2)))) (cbrt (/ x (tan (/ x 2))))) (cbrt (/ x (tan (/ x 2)))) (* (/ x (tan (/ x 2))) (* (/ x (tan (/ x 2))) (/ x (tan (/ x 2))))) (sqrt (/ x (tan (/ x 2)))) (sqrt (/ x (tan (/ x 2)))) (- x) (- (tan (/ x 2))) (* (/ (cbrt x) (cbrt (tan (/ x 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(cbrt (tan (/ x 2))))) (/ (/ (sin x) x) (/ 1 (sqrt (tan (/ x 2))))) (/ (sin x) x) (/ (sin x) x) (/ (/ (sin x) x) x) (/ (/ (sin x) x) (/ x (sin (/ x 2)))) (/ x (* (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 (tan (/ x 2))) (cbrt (sin x))) (sqrt x)) (/ x (* (/ (cbrt (sin x)) x) (tan (/ x 2)))) (/ (/ x (tan (/ x 2))) (/ (sqrt (sin x)) (cbrt x))) (/ x (* (/ (sqrt (sin x)) (sqrt x)) (tan (/ x 2)))) (/ (/ x (tan (/ x 2))) (/ (sqrt (sin x)) x)) (/ x (* (/ (sin x) (cbrt x)) (tan (/ x 2)))) (/ x (* (/ (sin x) (sqrt x)) (tan (/ x 2)))) (/ (/ x (tan (/ x 2))) (/ (sin x) x)) (/ (/ x (tan (/ x 2))) (/ (sin x) x)) (/ x (* (/ 1 x) (tan (/ x 2)))) (/ (/ (sin x) x) x) (* (/ x (tan (/ x 2))) x) (real->posit16 (* (/ (/ (sin x) x) x) (tan (/ x 2)))) (- 2 (fma 1/6 (* x x) (* 1/360 (* (* x x) (* x x))))) (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) (- (fma 1/120 (* (* x x) (* x x)) 1) (* (* x x) 1/6)) (/ (sin x) x) (/ (sin x) x) (- (fma 1/720 (* (* x x) (* x x)) 1/2) (* 1/24 (* x x))) (/ (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) (* x x)) (/ (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) (* x x)) 8.550 * * * [progress]: adding candidates to table 11.147 * [progress]: [Phase 3 of 3] Extracting. 11.147 * * [regime]: Finding splitpoints for: (# # # # #) 11.149 * * * [regime-changes]: Trying 1 branch expressions: (x) 11.149 * * * * [regimes]: Trying to branch on x from (# # # # #) 11.192 * * * [regime]: Found split indices: #