17.173 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.127 * * * [progress]: [2/2] Setting up program. 0.131 * [progress]: [Phase 2 of 3] Improving. 0.131 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.131 * [simplify]: Simplifying: (/ (- 1 (cos x)) (* x x)) 0.131 * * [simplify]: iteration 0: 6 enodes 0.133 * * [simplify]: iteration 1: 15 enodes 0.137 * * [simplify]: iteration 2: 23 enodes 0.143 * * [simplify]: iteration 3: 28 enodes 0.150 * * [simplify]: iteration 4: 30 enodes 0.156 * * [simplify]: iteration complete: 30 enodes 0.156 * * [simplify]: Extracting #0: cost 1 inf + 0 0.157 * * [simplify]: Extracting #1: cost 8 inf + 0 0.157 * * [simplify]: Extracting #2: cost 12 inf + 42 0.157 * * [simplify]: Extracting #3: cost 7 inf + 447 0.157 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.158 * [simplify]: Simplified to: (/ (- 1 (cos x)) (* x x)) 0.159 * * [progress]: iteration 1 / 4 0.159 * * * [progress]: picking best candidate 0.161 * * * * [pick]: Picked # 0.161 * * * [progress]: localizing error 0.173 * * * [progress]: generating rewritten candidates 0.173 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.190 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.196 * * * [progress]: generating series expansions 0.196 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.200 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2)) 0.200 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0 0.200 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.200 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.200 * [taylor]: Taking taylor expansion of 1 in x 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [taylor]: Taking taylor expansion of (cos x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (- 1) into -1 0.202 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.203 * [backup-simplify]: Simplify (+ 0) into 0 0.203 * [backup-simplify]: Simplify (- 0) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.204 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.204 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.205 * [backup-simplify]: Simplify (* 1 1) into 1 0.205 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.205 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.205 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.205 * [taylor]: Taking taylor expansion of 1 in x 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of (cos x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (- 1) into -1 0.206 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.206 * [backup-simplify]: Simplify (+ 0) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.207 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.208 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.208 * [backup-simplify]: Simplify (* 1 1) into 1 0.208 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.214 * [backup-simplify]: Simplify 1/2 into 1/2 0.216 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.219 * [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 0.219 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.219 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.221 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.221 * [backup-simplify]: Simplify -1/24 into -1/24 0.222 * [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 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.227 * [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 0.227 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.227 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.229 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.229 * [backup-simplify]: Simplify 1/720 into 1/720 0.230 * [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))) 0.231 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.231 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 0.231 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.231 * [taylor]: Taking taylor expansion of 1 in x 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.231 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.231 * [taylor]: Taking taylor expansion of 1 in x 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.232 * [backup-simplify]: Simplify (* 1 1) into 1 0.232 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.232 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.232 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.232 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.245 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.245 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.245 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.245 * [taylor]: Taking taylor expansion of 1 in x 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.245 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.245 * [taylor]: Taking taylor expansion of -1 in x 0.245 * [backup-simplify]: Simplify -1 into -1 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (/ -1 1) into -1 0.245 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.245 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.246 * [taylor]: Taking taylor expansion of 1 in x 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.246 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.246 * [taylor]: Taking taylor expansion of -1 in x 0.246 * [backup-simplify]: Simplify -1 into -1 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (/ -1 1) into -1 0.246 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.246 * [backup-simplify]: Simplify (* 1 1) into 1 0.246 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.246 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.246 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.247 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.259 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.259 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.260 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.260 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.260 * [taylor]: Taking taylor expansion of 1 in x 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of (cos x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.260 * [taylor]: Taking taylor expansion of 1 in x 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of (cos x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (- 1) into -1 0.261 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (+ 0) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.263 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.263 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.263 * [backup-simplify]: Simplify 1/2 into 1/2 0.265 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.268 * [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 0.268 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.268 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.269 * [backup-simplify]: Simplify -1/24 into -1/24 0.270 * [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 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.276 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.276 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.276 * [backup-simplify]: Simplify 1/720 into 1/720 0.277 * [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))) 0.277 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.277 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.277 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.277 * [taylor]: Taking taylor expansion of 1 in x 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.278 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.278 * [taylor]: Taking taylor expansion of 1 in x 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.278 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.278 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.278 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.283 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.283 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.283 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.283 * [taylor]: Taking taylor expansion of 1 in x 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.284 * [taylor]: Taking taylor expansion of -1 in x 0.284 * [backup-simplify]: Simplify -1 into -1 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ -1 1) into -1 0.284 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.284 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.284 * [taylor]: Taking taylor expansion of 1 in x 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.284 * [taylor]: Taking taylor expansion of -1 in x 0.284 * [backup-simplify]: Simplify -1 into -1 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ -1 1) into -1 0.285 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.285 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.285 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.285 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.290 * * * [progress]: simplifying candidates 0.290 * * * * [progress]: [ 1 / 53 ] simplifiying candidate # 0.290 * * * * [progress]: [ 2 / 53 ] simplifiying candidate # 0.290 * * * * [progress]: [ 3 / 53 ] simplifiying candidate # 0.290 * * * * [progress]: [ 4 / 53 ] simplifiying candidate # 0.290 * * * * [progress]: [ 5 / 53 ] simplifiying candidate # 0.290 * * * * [progress]: [ 6 / 53 ] simplifiying candidate # 0.290 * * * * [progress]: [ 7 / 53 ] simplifiying candidate # 0.290 * * * * [progress]: [ 8 / 53 ] simplifiying candidate # 0.290 * * * * [progress]: [ 9 / 53 ] simplifiying candidate # 0.290 * * * * [progress]: [ 10 / 53 ] simplifiying candidate # 0.290 * * * * [progress]: [ 11 / 53 ] simplifiying candidate # 0.290 * * * * [progress]: [ 12 / 53 ] simplifiying candidate # 0.290 * * * * [progress]: [ 13 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 14 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 15 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 16 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 17 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 18 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 19 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 20 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 21 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 22 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 23 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 24 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 25 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 26 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 27 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 28 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 29 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 30 / 53 ] simplifiying candidate # 0.291 * * * * [progress]: [ 31 / 53 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.291 * * * * [progress]: [ 32 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 33 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 34 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 35 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 36 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 37 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 38 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 39 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 40 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 41 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 42 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 43 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 44 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 45 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 46 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 47 / 53 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.292 * * * * [progress]: [ 48 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 49 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 50 / 53 ] simplifiying candidate # 0.292 * * * * [progress]: [ 51 / 53 ] simplifiying candidate # 0.293 * * * * [progress]: [ 52 / 53 ] simplifiying candidate # 0.293 * * * * [progress]: [ 53 / 53 ] simplifiying candidate # 0.293 * [simplify]: Simplifying: (- (log (- 1 (cos x))) (+ (log x) (log x))) (- (log (- 1 (cos x))) (log (* x x))) (log (/ (- 1 (cos x)) (* x x))) (exp (/ (- 1 (cos x)) (* x x))) (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x))) (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (- (- 1 (cos x))) (- (* x x)) (/ 1 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x) (/ (cbrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (+ (sqrt 1) (sqrt (cos x))) x) (/ (- (sqrt 1) (sqrt (cos x))) x) (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1 (cos x))) (/ (- 1 (cos x)) x) (/ (* x x) (cbrt (- 1 (cos x)))) (/ (* x x) (sqrt (- 1 (cos x)))) (/ (* x x) (- 1 (cos x))) (/ (* x x) (- (sqrt 1) (sqrt (cos x)))) (/ (* x x) (- 1 (sqrt (cos x)))) (/ (* x x) (- 1 (cos x))) (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))) (* (* x x) (+ 1 (cos x))) (real->posit16 (/ (- 1 (cos x)) (* x x))) (/ (exp 1) (exp (cos x))) (log (- 1 (cos x))) (exp (- 1 (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))) (- (cos x)) (- (* 1 1) (* (cos x) (cos x))) (+ 1 (cos x)) (+ (sqrt 1) (sqrt (cos x))) (- (sqrt 1) (sqrt (cos x))) (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (real->posit16 (- 1 (cos x))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1 (cos x)) (pow x 2)) (/ (- 1 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1 (cos x)) (- 1 (cos x)) 0.295 * * [simplify]: iteration 0: 93 enodes 0.333 * * [simplify]: iteration 1: 230 enodes 0.402 * * [simplify]: iteration 2: 707 enodes 0.563 * * [simplify]: iteration complete: 2002 enodes 0.564 * * [simplify]: Extracting #0: cost 42 inf + 0 0.564 * * [simplify]: Extracting #1: cost 438 inf + 0 0.567 * * [simplify]: Extracting #2: cost 713 inf + 2531 0.571 * * [simplify]: Extracting #3: cost 560 inf + 26945 0.597 * * [simplify]: Extracting #4: cost 111 inf + 119323 0.634 * * [simplify]: Extracting #5: cost 25 inf + 139236 0.673 * * [simplify]: Extracting #6: cost 2 inf + 143428 0.720 * * [simplify]: Extracting #7: cost 0 inf + 144053 0.760 * [simplify]: Simplified to: (log (/ (- 1 (cos x)) (* x x))) (log (/ (- 1 (cos x)) (* x x))) (log (/ (- 1 (cos x)) (* x x))) (exp (/ (- 1 (cos x)) (* x x))) (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))) (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))) (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x))) (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (+ -1 (cos x)) (* (- x) x) (/ 1 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x) (/ (cbrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (+ (sqrt (cos x)) 1) x) (/ (- 1 (sqrt (cos x))) x) (/ (+ (sqrt (cos x)) 1) x) (/ (- 1 (sqrt (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1 (cos x))) (/ (- 1 (cos x)) x) (* (/ x (cbrt (- 1 (cos x)))) x) (/ (* x x) (sqrt (- 1 (cos x)))) (/ (* x x) (- 1 (cos x))) (/ (* x x) (- 1 (sqrt (cos x)))) (/ (* x x) (- 1 (sqrt (cos x)))) (/ (* x x) (- 1 (cos x))) (+ (* x x) (* (* x x) (+ (cos x) (* (cos x) (cos x))))) (+ (* x x) (* (* x x) (cos x))) (real->posit16 (/ (- 1 (cos x)) (* x x))) (/ E (exp (cos x))) (log (- 1 (cos x))) (/ E (exp (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- 1 (* (* (cos x) (cos x)) (cos x))) (+ (* (cos x) (cos x)) (+ (cos x) 1)) (- (cos x)) (* (sin x) (sin x)) (+ (cos x) 1) (+ (sqrt (cos x)) 1) (- 1 (sqrt (cos x))) (+ (sqrt (cos x)) 1) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (real->posit16 (- 1 (cos x))) (+ (+ 1/2 (* (* 1/720 (* x x)) (* x x))) (* (* x x) -1/24)) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (- (* (* (* (* x x) (* x x)) (* x x)) 1/720) (* (* (* x x) (* x x)) 1/24)) (* (* x x) 1/2)) (- 1 (cos x)) (- 1 (cos x)) 0.764 * * * [progress]: adding candidates to table 0.898 * * [progress]: iteration 2 / 4 0.898 * * * [progress]: picking best candidate 0.922 * * * * [pick]: Picked # 0.923 * * * [progress]: localizing error 0.942 * * * [progress]: generating rewritten candidates 0.942 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.961 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.966 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.977 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.998 * * * [progress]: generating series expansions 0.998 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.998 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 0.998 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 0.998 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 0.998 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 0.998 * [taylor]: Taking taylor expansion of (sin x) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.999 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.999 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 0.999 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 0.999 * [taylor]: Taking taylor expansion of (cos x) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 1 into 1 1.000 * [taylor]: Taking taylor expansion of 1 in x 1.000 * [backup-simplify]: Simplify 1 into 1 1.000 * [backup-simplify]: Simplify (* 1 1) into 1 1.000 * [backup-simplify]: Simplify (* 1 1) into 1 1.000 * [backup-simplify]: Simplify (+ 1 1) into 2 1.001 * [backup-simplify]: Simplify (* 1 2) into 2 1.001 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.001 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 1.001 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.001 * [taylor]: Taking taylor expansion of (sin x) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.002 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 1.002 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.002 * [taylor]: Taking taylor expansion of (cos x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [taylor]: Taking taylor expansion of 1 in x 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify (* 1 1) into 1 1.002 * [backup-simplify]: Simplify (* 1 1) into 1 1.003 * [backup-simplify]: Simplify (+ 1 1) into 2 1.003 * [backup-simplify]: Simplify (* 1 2) into 2 1.005 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.005 * [backup-simplify]: Simplify 1/2 into 1/2 1.006 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.007 * [backup-simplify]: Simplify (+ 0) into 0 1.007 * [backup-simplify]: Simplify (+ 0 0) into 0 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 1.008 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.010 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.011 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.011 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.012 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 1.013 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 1.013 * [backup-simplify]: Simplify -1/24 into -1/24 1.014 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.016 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.016 * [backup-simplify]: Simplify (+ 0 0) into 0 1.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 1.018 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 1.018 * [backup-simplify]: Simplify 0 into 0 1.020 * [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 1.021 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.023 * [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 1.023 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.025 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 1.026 * [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 1.026 * [backup-simplify]: Simplify 1/720 into 1/720 1.027 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 1.027 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) 1.027 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 1.027 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 1.027 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 1.027 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.027 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify (/ 1 1) into 1 1.027 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.027 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.028 * [backup-simplify]: Simplify (/ 1 1) into 1 1.028 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.028 * [taylor]: Taking taylor expansion of 1 in x 1.028 * [backup-simplify]: Simplify 1 into 1 1.028 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.028 * [backup-simplify]: Simplify (* 1 1) into 1 1.028 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 1.028 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.028 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.028 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 1.028 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.028 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 1 into 1 1.029 * [backup-simplify]: Simplify (/ 1 1) into 1 1.029 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 1 into 1 1.029 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.029 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 1 into 1 1.029 * [backup-simplify]: Simplify (/ 1 1) into 1 1.029 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.029 * [taylor]: Taking taylor expansion of 1 in x 1.029 * [backup-simplify]: Simplify 1 into 1 1.029 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.030 * [backup-simplify]: Simplify (* 1 1) into 1 1.030 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 1.030 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.030 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.030 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.031 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 1.031 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 1.031 * [backup-simplify]: Simplify (+ 0 0) into 0 1.032 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.032 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 1.033 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.033 * [backup-simplify]: Simplify (+ 0 0) into 0 1.033 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.033 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.035 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 1.035 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.035 * [backup-simplify]: Simplify (+ 0 0) into 0 1.036 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.038 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 1.038 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.039 * [backup-simplify]: Simplify (+ 0 0) into 0 1.039 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.039 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.041 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 1.042 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.042 * [backup-simplify]: Simplify (+ 0 0) into 0 1.043 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.045 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 1.046 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.046 * [backup-simplify]: Simplify (+ 0 0) into 0 1.046 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 1.047 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) 1.047 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 1.047 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 1.047 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 1 into 1 1.047 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.047 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.047 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.047 * [taylor]: Taking taylor expansion of -1 in x 1.047 * [backup-simplify]: Simplify -1 into -1 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 1 into 1 1.047 * [backup-simplify]: Simplify (/ -1 1) into -1 1.047 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.047 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.047 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.047 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.047 * [taylor]: Taking taylor expansion of -1 in x 1.047 * [backup-simplify]: Simplify -1 into -1 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 1 into 1 1.048 * [backup-simplify]: Simplify (/ -1 1) into -1 1.048 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.048 * [taylor]: Taking taylor expansion of 1 in x 1.048 * [backup-simplify]: Simplify 1 into 1 1.048 * [backup-simplify]: Simplify (* 1 1) into 1 1.048 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.048 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 1.048 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.048 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.048 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 1.048 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 1 into 1 1.049 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.049 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.049 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.049 * [taylor]: Taking taylor expansion of -1 in x 1.049 * [backup-simplify]: Simplify -1 into -1 1.049 * [taylor]: Taking taylor expansion of x in x 1.049 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify 1 into 1 1.049 * [backup-simplify]: Simplify (/ -1 1) into -1 1.049 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.049 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.049 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.049 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.049 * [taylor]: Taking taylor expansion of -1 in x 1.049 * [backup-simplify]: Simplify -1 into -1 1.049 * [taylor]: Taking taylor expansion of x in x 1.049 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify 1 into 1 1.049 * [backup-simplify]: Simplify (/ -1 1) into -1 1.049 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.049 * [taylor]: Taking taylor expansion of 1 in x 1.049 * [backup-simplify]: Simplify 1 into 1 1.050 * [backup-simplify]: Simplify (* 1 1) into 1 1.050 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.050 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 1.050 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.050 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.050 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.050 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 1.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 1.051 * [backup-simplify]: Simplify (+ 0 0) into 0 1.052 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 1.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 1.053 * [backup-simplify]: Simplify (+ 0 0) into 0 1.054 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 1.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 1.056 * [backup-simplify]: Simplify (+ 0 0) into 0 1.056 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.056 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 1.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 1.059 * [backup-simplify]: Simplify (+ 0 0) into 0 1.059 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 1.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.065 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.065 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 1.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 1.071 * [backup-simplify]: Simplify (+ 0 0) into 0 1.072 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 1.072 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.073 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 1.073 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 1.073 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.073 * [taylor]: Taking taylor expansion of (cos x) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [taylor]: Taking taylor expansion of 1 in x 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.073 * [taylor]: Taking taylor expansion of (cos x) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [taylor]: Taking taylor expansion of 1 in x 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [backup-simplify]: Simplify (+ 1 1) into 2 1.073 * [backup-simplify]: Simplify 2 into 2 1.074 * [backup-simplify]: Simplify (+ 0) into 0 1.074 * [backup-simplify]: Simplify (+ 0 0) into 0 1.074 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.075 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.076 * [backup-simplify]: Simplify -1/2 into -1/2 1.077 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.077 * [backup-simplify]: Simplify (+ 0 0) into 0 1.077 * [backup-simplify]: Simplify 0 into 0 1.083 * [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 1.083 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.084 * [backup-simplify]: Simplify 1/24 into 1/24 1.084 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2)) into (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) 1.084 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 1.084 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 1.084 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.084 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify (/ 1 1) into 1 1.085 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.085 * [taylor]: Taking taylor expansion of 1 in x 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.085 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify (/ 1 1) into 1 1.085 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.086 * [taylor]: Taking taylor expansion of 1 in x 1.086 * [backup-simplify]: Simplify 1 into 1 1.086 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.086 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.086 * [backup-simplify]: Simplify (+ 0 0) into 0 1.086 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify (+ 0 0) into 0 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify (+ 0 0) into 0 1.087 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.088 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 1.089 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 1.089 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 1.089 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.089 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.089 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.089 * [taylor]: Taking taylor expansion of -1 in x 1.089 * [backup-simplify]: Simplify -1 into -1 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 1 into 1 1.090 * [backup-simplify]: Simplify (/ -1 1) into -1 1.090 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.090 * [taylor]: Taking taylor expansion of 1 in x 1.090 * [backup-simplify]: Simplify 1 into 1 1.090 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.090 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.090 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.090 * [taylor]: Taking taylor expansion of -1 in x 1.090 * [backup-simplify]: Simplify -1 into -1 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 1 into 1 1.091 * [backup-simplify]: Simplify (/ -1 1) into -1 1.091 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.091 * [taylor]: Taking taylor expansion of 1 in x 1.091 * [backup-simplify]: Simplify 1 into 1 1.091 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.091 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify (+ 0 0) into 0 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify (+ 0 0) into 0 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify (+ 0 0) into 0 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 1.094 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.094 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 1.094 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 1.094 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.094 * [taylor]: Taking taylor expansion of (sin x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.095 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.095 * [taylor]: Taking taylor expansion of (sin x) in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 1 into 1 1.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.096 * [backup-simplify]: Simplify (* 1 1) into 1 1.096 * [backup-simplify]: Simplify 1 into 1 1.096 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.100 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.100 * [backup-simplify]: Simplify -1/3 into -1/3 1.101 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.106 * [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 1.108 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.108 * [backup-simplify]: Simplify 2/45 into 2/45 1.109 * [backup-simplify]: Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (pow x 2)))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) 1.109 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.109 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 1.109 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.109 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (/ 1 1) into 1 1.110 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.110 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.110 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (/ 1 1) into 1 1.110 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.111 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.111 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 1.111 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 1.111 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 1.112 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 1.114 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 1.116 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 1.118 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 1.118 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 1.118 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.119 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.119 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.119 * [taylor]: Taking taylor expansion of -1 in x 1.119 * [backup-simplify]: Simplify -1 into -1 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify 1 into 1 1.119 * [backup-simplify]: Simplify (/ -1 1) into -1 1.119 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.119 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.119 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.119 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.119 * [taylor]: Taking taylor expansion of -1 in x 1.119 * [backup-simplify]: Simplify -1 into -1 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (/ -1 1) into -1 1.120 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.120 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.120 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 1.120 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 1.120 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 1.124 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.125 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 1.125 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 1.125 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 1.125 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.125 * [taylor]: Taking taylor expansion of (sin x) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 1 into 1 1.125 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.125 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.125 * [taylor]: Taking taylor expansion of (cos x) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 1 into 1 1.125 * [taylor]: Taking taylor expansion of 1 in x 1.125 * [backup-simplify]: Simplify 1 into 1 1.125 * [backup-simplify]: Simplify (* 1 1) into 1 1.126 * [backup-simplify]: Simplify (+ 1 1) into 2 1.126 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.126 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 1.126 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.126 * [taylor]: Taking taylor expansion of (sin x) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.127 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.127 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.127 * [taylor]: Taking taylor expansion of (cos x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 1 into 1 1.127 * [taylor]: Taking taylor expansion of 1 in x 1.127 * [backup-simplify]: Simplify 1 into 1 1.127 * [backup-simplify]: Simplify (* 1 1) into 1 1.127 * [backup-simplify]: Simplify (+ 1 1) into 2 1.127 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.128 * [backup-simplify]: Simplify 1/2 into 1/2 1.128 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.129 * [backup-simplify]: Simplify (+ 0) into 0 1.129 * [backup-simplify]: Simplify (+ 0 0) into 0 1.129 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.131 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.132 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.132 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.133 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 1.133 * [backup-simplify]: Simplify -1/24 into -1/24 1.134 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.135 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.136 * [backup-simplify]: Simplify (+ 0 0) into 0 1.137 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 1.137 * [backup-simplify]: Simplify 0 into 0 1.139 * [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 1.140 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.141 * [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 1.142 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.143 * [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 1.143 * [backup-simplify]: Simplify 1/720 into 1/720 1.143 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 1.143 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.143 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 1.143 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 1.143 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.144 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 1 into 1 1.144 * [backup-simplify]: Simplify (/ 1 1) into 1 1.144 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.144 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.144 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 1 into 1 1.144 * [backup-simplify]: Simplify (/ 1 1) into 1 1.144 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.144 * [taylor]: Taking taylor expansion of 1 in x 1.144 * [backup-simplify]: Simplify 1 into 1 1.145 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.145 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.145 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.145 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 1.145 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.145 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.145 * [backup-simplify]: Simplify (/ 1 1) into 1 1.145 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.145 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.145 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.146 * [backup-simplify]: Simplify (/ 1 1) into 1 1.146 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.146 * [taylor]: Taking taylor expansion of 1 in x 1.146 * [backup-simplify]: Simplify 1 into 1 1.146 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.146 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.146 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.146 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.146 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 1.146 * [backup-simplify]: Simplify (+ 0 0) into 0 1.147 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 1.147 * [backup-simplify]: Simplify (+ 0 0) into 0 1.148 * [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 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 1.149 * [backup-simplify]: Simplify (+ 0 0) into 0 1.149 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.149 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 1.150 * [backup-simplify]: Simplify (+ 0 0) into 0 1.150 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.150 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 1.152 * [backup-simplify]: Simplify (+ 0 0) into 0 1.152 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.152 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 1.153 * [backup-simplify]: Simplify (+ 0 0) into 0 1.154 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 1.154 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.154 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 1.154 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 1.154 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.154 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.154 * [taylor]: Taking taylor expansion of -1 in x 1.154 * [backup-simplify]: Simplify -1 into -1 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify 1 into 1 1.155 * [backup-simplify]: Simplify (/ -1 1) into -1 1.155 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.155 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.155 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.155 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.155 * [taylor]: Taking taylor expansion of -1 in x 1.155 * [backup-simplify]: Simplify -1 into -1 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [backup-simplify]: Simplify (/ -1 1) into -1 1.155 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.155 * [taylor]: Taking taylor expansion of 1 in x 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.155 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.155 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.155 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 1.155 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.155 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.155 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.155 * [taylor]: Taking taylor expansion of -1 in x 1.155 * [backup-simplify]: Simplify -1 into -1 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [backup-simplify]: Simplify (/ -1 1) into -1 1.156 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.156 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.156 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.156 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.156 * [taylor]: Taking taylor expansion of -1 in x 1.156 * [backup-simplify]: Simplify -1 into -1 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.157 * [backup-simplify]: Simplify (/ -1 1) into -1 1.157 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.157 * [taylor]: Taking taylor expansion of 1 in x 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.157 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.157 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.157 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.157 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 1.158 * [backup-simplify]: Simplify (+ 0 0) into 0 1.158 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.158 * [backup-simplify]: Simplify 0 into 0 1.159 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 1.159 * [backup-simplify]: Simplify (+ 0 0) into 0 1.159 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.159 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 1.161 * [backup-simplify]: Simplify (+ 0 0) into 0 1.161 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.161 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 1.163 * [backup-simplify]: Simplify (+ 0 0) into 0 1.163 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.163 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 1.165 * [backup-simplify]: Simplify (+ 0 0) into 0 1.166 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.166 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 1.168 * [backup-simplify]: Simplify (+ 0 0) into 0 1.169 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 1.169 * * * [progress]: simplifying candidates 1.169 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 1.169 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 1.169 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 1.169 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 1.170 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 1.170 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 1.170 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 1.170 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 1.170 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 1.170 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 1.170 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 1.170 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 1.170 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 1.170 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 1.170 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 1.170 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 1.170 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 1.170 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 1.170 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 1.171 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 1.171 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 1.171 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 1.171 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 1.171 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 1.171 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 1.171 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 1.171 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 1.171 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 1.171 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 1.171 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 1.171 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 1.171 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 1.172 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 1.172 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 1.172 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 1.172 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 1.172 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 1.172 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 1.172 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 1.172 * * * * [progress]: [ 40 / 127 ] simplifiying candidate # 1.172 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 1.172 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 1.172 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 1.172 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 1.172 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 1.172 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 1.172 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 1.172 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 1.172 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 1.172 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 1.173 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 1.173 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 1.173 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 1.173 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 1.173 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 1.173 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 1.173 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 1.173 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 1.173 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 1.173 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 1.173 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 1.173 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 1.173 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 1.173 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 1.173 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 1.173 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 1.173 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 1.173 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 1.174 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 1.174 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 1.174 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 1.174 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 1.174 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 1.174 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 1.174 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 1.174 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 1.174 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 1.174 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 1.174 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 1.174 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 1.174 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 1.175 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 1.175 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 1.175 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 1.175 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 1.175 * * * * [progress]: [ 86 / 127 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 1.175 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 1.175 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 1.175 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 1.175 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 1.175 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 1.175 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 1.175 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 1.175 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 1.175 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 1.175 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 1.175 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 1.175 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 1.176 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 1.176 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 1.177 * * * * [progress]: [ 118 / 127 ] simplifiying candidate # 1.177 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 1.177 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 1.177 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 1.177 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 1.177 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 1.177 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 1.177 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 1.177 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 1.177 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 1.179 * [simplify]: Simplifying: (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x))) (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x)) (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x)) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x) (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x) (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x) (/ 1 x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) (/ (* (sin x) (sin x)) x) (/ (/ 1 (+ 1 (cos x))) x) (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x) (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x) (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x) (/ (- 1 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (+ 1 (cos x)))) (/ (* x x) (/ (sin x) (+ 1 (cos x)))) (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* x x) (/ 1 (+ 1 (cos x)))) (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) (/ (* x x) (- 1 (cos x))) (* (* x x) (+ 1 (cos x))) (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (* (exp 1) (exp (cos x))) (log (+ 1 (cos x))) (exp (+ 1 (cos x))) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))) (sqrt (+ 1 (cos x))) (sqrt (+ 1 (cos x))) (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) (- (* 1 1) (* (cos x) (cos x))) (- 1 (cos x)) (+ 1 (cos x)) (real->posit16 (+ 1 (cos x))) (* 1/2 (cos (* 2 x))) (- (cos (- x x)) (cos (+ x x))) (+ 1 1) (* (sin x) (sin x)) (+ 1 1) (+ (log (sin x)) (log (sin x))) (log (* (sin x) (sin x))) (exp (* (sin x) (sin x))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) (cbrt (* (sin x) (sin x))) (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (sqrt (* (sin x) (sin x))) (sqrt (* (sin x) (sin x))) (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x)))) (* (cbrt (sin x)) (cbrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x))) (* 1 1) (* (sin x) (sin x)) (* (sqrt (sin x)) (sqrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x))) (* 2 1) (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))) (* (sin x) (sqrt (sin x))) (* (sin x) 1) (* (cbrt (sin x)) (sin x)) (* (sqrt (sin x)) (sin x)) (* (sin x) (sin x)) (real->posit16 (* (sin x) (sin x))) (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (exp (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* (sin x) (sin x))) (- (+ 1 (cos x))) (/ 1/2 (+ 1 (cos x))) (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ 1 (+ 1 (cos x))) (/ (+ 1 (cos x)) (* (sin x) (sin x))) (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (/ (* (sin x) (sin x)) 1) (/ (* (sin x) (sin x)) 1) (/ (+ 1 (cos x)) (sin x)) (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (* (+ 1 (cos x)) 2) (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) (+ (cos x) 1) (+ (cos x) 1) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (/ (pow (sin x) 2) (+ (cos x) 1)) (/ (pow (sin x) 2) (+ (cos x) 1)) 1.182 * * [simplify]: iteration 0: 182 enodes 1.277 * * [simplify]: iteration 1: 507 enodes 1.519 * * [simplify]: iteration 2: 1801 enodes 1.880 * * [simplify]: iteration complete: 2000 enodes 1.880 * * [simplify]: Extracting #0: cost 98 inf + 0 1.881 * * [simplify]: Extracting #1: cost 523 inf + 2 1.884 * * [simplify]: Extracting #2: cost 682 inf + 13832 1.902 * * [simplify]: Extracting #3: cost 265 inf + 105648 1.947 * * [simplify]: Extracting #4: cost 20 inf + 174610 1.989 * * [simplify]: Extracting #5: cost 0 inf + 179048 2.036 * * [simplify]: Extracting #6: cost 0 inf + 178458 2.087 * * [simplify]: Extracting #7: cost 0 inf + 178343 2.115 * [simplify]: Simplified to: (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (log (/ (* (tan (/ x 2)) (sin x)) (* x x))) (exp (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (/ (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* x x) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (* (/ (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* x x) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (* (/ (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* x x) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (* (/ (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* x x) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x)))) (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x)))) (* (cbrt (/ (* (tan (/ x 2)) (sin x)) (* x x))) (cbrt (/ (* (tan (/ x 2)) (sin x)) (* x x)))) (cbrt (/ (* (tan (/ x 2)) (sin x)) (* x x))) (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x)))) (sqrt (/ (* (tan (/ x 2)) (sin x)) (* x x))) (sqrt (/ (* (tan (/ x 2)) (sin x)) (* x x))) (- (* (tan (/ x 2)) (sin x))) (* (- x) x) (/ 1/2 (+ (* x x) (* (* x x) (cos x)))) (/ (* (cos (+ x x)) 1/2) (+ (* x x) (* (* x x) (cos x)))) (/ (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) x) (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (/ (sin x) x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (sin x) x) (/ (tan (/ x 2)) x) (/ (sin x) x) (/ (tan (/ x 2)) x) (/ 1 x) (/ (* (tan (/ x 2)) (sin x)) x) (* (/ (sin x) x) (sin x)) (/ (/ 1 (+ 1 (cos x))) x) (/ (* (sin x) (sin x)) (* (+ (* (cos x) (* (cos x) (cos x))) 1) x)) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) (/ (/ (* (sin x) (sin x)) x) (* (sin x) (sin x))) (/ (- 1 (cos x)) x) (/ (/ 1 x) x) (/ x (/ (* (tan (/ x 2)) (sin x)) x)) (/ (* (tan (/ x 2)) (sin x)) x) (/ x (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (/ (* x x) (sqrt (* (tan (/ x 2)) (sin x)))) (* (/ (* x x) (sin x)) (cbrt (+ 1 (cos x)))) (* (sqrt (+ 1 (cos x))) (/ (* x x) (sin x))) (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2))) (/ x (/ (* (tan (/ x 2)) (sin x)) x)) (+ (* x x) (* (* x x) (cos x))) (/ x (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) (/ (* x x) (- 1 (cos x))) (+ (* x x) (* (* x x) (cos x))) (real->posit16 (/ (* (tan (/ x 2)) (sin x)) (* x x))) (exp (+ 1 (cos x))) (log (+ 1 (cos x))) (exp (+ 1 (cos x))) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))) (sqrt (+ 1 (cos x))) (sqrt (+ 1 (cos x))) (+ (* (cos x) (* (cos x) (cos x))) 1) (- (* (cos x) (cos x)) (- (cos x) 1)) (* (sin x) (sin x)) (- 1 (cos x)) (+ 1 (cos x)) (real->posit16 (+ 1 (cos x))) (* (cos (+ x x)) 1/2) (- 1 (cos (+ x x))) 2 (* (sin x) (sin x)) 2 (log (* (sin x) (sin x))) (log (* (sin x) (sin x))) (exp (* (sin x) (sin x))) (* (* (sin x) (sin x)) (* (* (sin x) (sin x)) (* (sin x) (sin x)))) (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) (cbrt (* (sin x) (sin x))) (* (* (sin x) (sin x)) (* (* (sin x) (sin x)) (* (sin x) (sin x)))) (fabs (sin x)) (fabs (sin x)) (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x)))) (* (cbrt (sin x)) (cbrt (sin x))) (sin x) (sin x) 1 (* (sin x) (sin x)) (sin x) (sin x) 2 (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))) (* (sqrt (sin x)) (sin x)) (sin x) (* (sin x) (cbrt (sin x))) (* (sqrt (sin x)) (sin x)) (* (sin x) (sin x)) (real->posit16 (* (sin x) (sin x))) (log (* (tan (/ x 2)) (sin x))) (log (* (tan (/ x 2)) (sin x))) (log (* (tan (/ x 2)) (sin x))) (exp (* (tan (/ x 2)) (sin x))) (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) (cbrt (* (tan (/ x 2)) (sin x))) (* (* (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x))) (* (tan (/ x 2)) (sin x))) (sqrt (* (tan (/ x 2)) (sin x))) (sqrt (* (tan (/ x 2)) (sin x))) (- (* (sin x) (sin x))) (- -1 (cos x)) (/ 1/2 (+ 1 (cos x))) (* (/ 1/2 (+ 1 (cos x))) (cos (+ x x))) (/ (/ (sin x) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (sin x) (tan (/ x 2)) (sin x) (tan (/ x 2)) (/ 1 (+ 1 (cos x))) (/ (+ 1 (cos x)) (* (sin x) (sin x))) (* (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x))))) (/ (sin x) (/ (sqrt (+ 1 (cos x))) (sin x))) (* (sin x) (sin x)) (* (sin x) (sin x)) (/ (+ 1 (cos x)) (sin x)) (/ (* (sin x) (sin x)) (+ (* (cos x) (* (cos x) (cos x))) 1)) (/ (* (sin x) (sin x)) (* (sin x) (sin x))) (+ 2 (* 2 (cos x))) (real->posit16 (* (tan (/ x 2)) (sin x))) (+ (+ 1/2 (* (* (* x x) (* x x)) 1/720)) (* -1/24 (* x x))) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (+ 2 (- (* (* x x) (* (* x x) 1/24)) (* (* x x) 1/2))) (+ (cos x) 1) (+ (cos x) 1) (+ (* 2/45 (* (* (* x x) (* x x)) (* x x))) (+ (* x x) (* -1/3 (* (* x x) (* x x))))) (* (sin x) (sin x)) (* (sin x) (sin x)) (+ (* (* x x) 1/2) (+ (* 1/720 (* (* (* x x) (* x x)) (* x x))) (* (* (* x x) (* x x)) -1/24))) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) 2.122 * * * [progress]: adding candidates to table 2.477 * * [progress]: iteration 3 / 4 2.477 * * * [progress]: picking best candidate 2.493 * * * * [pick]: Picked # 2.493 * * * [progress]: localizing error 2.510 * * * [progress]: generating rewritten candidates 2.510 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 2.520 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.533 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.548 * * * [progress]: generating series expansions 2.548 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 2.548 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 2.548 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 2.548 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 2.548 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 2.549 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 2.549 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 2.549 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.549 * [taylor]: Taking taylor expansion of 1/2 in x 2.549 * [backup-simplify]: Simplify 1/2 into 1/2 2.549 * [taylor]: Taking taylor expansion of x in x 2.549 * [backup-simplify]: Simplify 0 into 0 2.549 * [backup-simplify]: Simplify 1 into 1 2.550 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.550 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.550 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 2.551 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.551 * [taylor]: Taking taylor expansion of 1/2 in x 2.551 * [backup-simplify]: Simplify 1/2 into 1/2 2.551 * [taylor]: Taking taylor expansion of x in x 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify 1 into 1 2.551 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.551 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.552 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 2.552 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.552 * [taylor]: Taking taylor expansion of x in x 2.552 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify 1 into 1 2.552 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.552 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 2.552 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 2.552 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 2.552 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 2.553 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.553 * [taylor]: Taking taylor expansion of 1/2 in x 2.553 * [backup-simplify]: Simplify 1/2 into 1/2 2.553 * [taylor]: Taking taylor expansion of x in x 2.553 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify 1 into 1 2.553 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.553 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.553 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 2.553 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.553 * [taylor]: Taking taylor expansion of 1/2 in x 2.553 * [backup-simplify]: Simplify 1/2 into 1/2 2.553 * [taylor]: Taking taylor expansion of x in x 2.553 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify 1 into 1 2.554 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.554 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.555 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 2.555 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.555 * [taylor]: Taking taylor expansion of x in x 2.555 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify 1 into 1 2.555 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.555 * [backup-simplify]: Simplify 1/2 into 1/2 2.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.556 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.557 * [backup-simplify]: Simplify (+ 0) into 0 2.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.559 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 2.560 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.561 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 2.561 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 2.561 * [backup-simplify]: Simplify 1/24 into 1/24 2.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.563 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.565 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 2.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 2.566 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.573 * [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 2.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.575 * [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 2.576 * [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 2.577 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 2.577 * [backup-simplify]: Simplify 1/240 into 1/240 2.578 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 4)) (+ (* 1/24 (pow x 2)) 1/2)) into (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) 2.578 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 2.578 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 2.578 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 2.578 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 2.578 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.578 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 2.578 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.578 * [taylor]: Taking taylor expansion of 1/2 in x 2.578 * [backup-simplify]: Simplify 1/2 into 1/2 2.578 * [taylor]: Taking taylor expansion of x in x 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 1 into 1 2.578 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.578 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 2.578 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 2.578 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.578 * [taylor]: Taking taylor expansion of 1/2 in x 2.578 * [backup-simplify]: Simplify 1/2 into 1/2 2.578 * [taylor]: Taking taylor expansion of x in x 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 1 into 1 2.579 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.579 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 2.579 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.579 * [taylor]: Taking taylor expansion of x in x 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 1 into 1 2.579 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 2.579 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 2.579 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.579 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 2.579 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.579 * [taylor]: Taking taylor expansion of 1/2 in x 2.579 * [backup-simplify]: Simplify 1/2 into 1/2 2.579 * [taylor]: Taking taylor expansion of x in x 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 1 into 1 2.579 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.579 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 2.579 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 2.579 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.579 * [taylor]: Taking taylor expansion of 1/2 in x 2.579 * [backup-simplify]: Simplify 1/2 into 1/2 2.579 * [taylor]: Taking taylor expansion of x in x 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 1 into 1 2.580 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.580 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 2.580 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.580 * [taylor]: Taking taylor expansion of x in x 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 1 into 1 2.580 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 2.581 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.581 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.581 * [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 2.582 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [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 2.582 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.583 * [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 2.583 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.584 * [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 2.585 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [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 2.586 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [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 2.587 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 2.587 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 2.587 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 2.587 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 2.587 * [taylor]: Taking taylor expansion of -1 in x 2.587 * [backup-simplify]: Simplify -1 into -1 2.587 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 2.587 * [taylor]: Taking taylor expansion of x in x 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify 1 into 1 2.587 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 2.588 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.588 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 2.588 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 2.588 * [taylor]: Taking taylor expansion of -1/2 in x 2.588 * [backup-simplify]: Simplify -1/2 into -1/2 2.588 * [taylor]: Taking taylor expansion of x in x 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.588 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 2.588 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 2.588 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 2.588 * [taylor]: Taking taylor expansion of -1/2 in x 2.588 * [backup-simplify]: Simplify -1/2 into -1/2 2.588 * [taylor]: Taking taylor expansion of x in x 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.588 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 2.589 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.589 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 2.589 * [taylor]: Taking taylor expansion of -1 in x 2.589 * [backup-simplify]: Simplify -1 into -1 2.589 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 2.589 * [taylor]: Taking taylor expansion of x in x 2.589 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify 1 into 1 2.589 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 2.589 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.589 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 2.589 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 2.589 * [taylor]: Taking taylor expansion of -1/2 in x 2.589 * [backup-simplify]: Simplify -1/2 into -1/2 2.589 * [taylor]: Taking taylor expansion of x in x 2.589 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify 1 into 1 2.589 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.589 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 2.589 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 2.589 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 2.589 * [taylor]: Taking taylor expansion of -1/2 in x 2.589 * [backup-simplify]: Simplify -1/2 into -1/2 2.589 * [taylor]: Taking taylor expansion of x in x 2.589 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify 1 into 1 2.590 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.590 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 2.590 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.590 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 2.590 * [backup-simplify]: Simplify (* -1 0) into 0 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 2.591 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.591 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 2.591 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 2.591 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 2.592 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 2.592 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 2.592 * [backup-simplify]: Simplify 0 into 0 2.593 * [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 2.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 2.594 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 2.594 * [backup-simplify]: Simplify 0 into 0 2.595 * [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 2.596 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 2.597 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 2.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 2.600 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [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 2.601 * [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 2.603 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))))) into 0 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [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 2.605 * [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 2.608 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))))) into 0 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify (* (- (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 2.608 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.608 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 2.608 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 2.608 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 2.608 * [taylor]: Taking taylor expansion of (sin x) in x 2.608 * [taylor]: Taking taylor expansion of x in x 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 1 into 1 2.608 * [taylor]: Taking taylor expansion of x in x 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 1 into 1 2.609 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.609 * [backup-simplify]: Simplify (/ 1 1) into 1 2.609 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 2.609 * [taylor]: Taking taylor expansion of (sin x) in x 2.609 * [taylor]: Taking taylor expansion of x in x 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 1 into 1 2.609 * [taylor]: Taking taylor expansion of x in x 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 1 into 1 2.610 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.610 * [backup-simplify]: Simplify (/ 1 1) into 1 2.610 * [backup-simplify]: Simplify 1 into 1 2.610 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.611 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.613 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 2.613 * [backup-simplify]: Simplify -1/6 into -1/6 2.613 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 2.614 * [backup-simplify]: Simplify 0 into 0 2.616 * [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 2.617 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 2.617 * [backup-simplify]: Simplify 1/120 into 1/120 2.617 * [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))) 2.617 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 2.617 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 2.617 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 2.617 * [taylor]: Taking taylor expansion of x in x 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify 1 into 1 2.617 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.617 * [taylor]: Taking taylor expansion of x in x 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify 1 into 1 2.618 * [backup-simplify]: Simplify (/ 1 1) into 1 2.618 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.618 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 2.618 * [taylor]: Taking taylor expansion of x in x 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.618 * [taylor]: Taking taylor expansion of x in x 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [backup-simplify]: Simplify (/ 1 1) into 1 2.618 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.618 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 2.619 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 2.619 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.621 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.623 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.624 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 2.626 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 2.626 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 2.626 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 2.626 * [taylor]: Taking taylor expansion of -1 in x 2.626 * [backup-simplify]: Simplify -1 into -1 2.626 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 2.626 * [taylor]: Taking taylor expansion of x in x 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify 1 into 1 2.626 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.626 * [taylor]: Taking taylor expansion of -1 in x 2.626 * [backup-simplify]: Simplify -1 into -1 2.626 * [taylor]: Taking taylor expansion of x in x 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify 1 into 1 2.626 * [backup-simplify]: Simplify (/ -1 1) into -1 2.626 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.626 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 2.626 * [taylor]: Taking taylor expansion of -1 in x 2.626 * [backup-simplify]: Simplify -1 into -1 2.626 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 2.626 * [taylor]: Taking taylor expansion of x in x 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify 1 into 1 2.626 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.627 * [taylor]: Taking taylor expansion of -1 in x 2.627 * [backup-simplify]: Simplify -1 into -1 2.627 * [taylor]: Taking taylor expansion of x in x 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [backup-simplify]: Simplify (/ -1 1) into -1 2.627 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.627 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 2.627 * [backup-simplify]: Simplify (* -1 0) into 0 2.627 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 2.628 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 2.628 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 2.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 2.629 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 2.629 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.631 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 2.631 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.633 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 2.633 * [backup-simplify]: Simplify 0 into 0 2.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.635 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 2.635 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.638 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 2.638 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 2.641 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 2.641 * [backup-simplify]: Simplify 0 into 0 2.641 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 2.641 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.641 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 2.641 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 2.641 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 2.641 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 2.641 * [taylor]: Taking taylor expansion of (sin x) in x 2.641 * [taylor]: Taking taylor expansion of x in x 2.642 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify 1 into 1 2.642 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 2.642 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 2.642 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 2.642 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.642 * [taylor]: Taking taylor expansion of 1/2 in x 2.642 * [backup-simplify]: Simplify 1/2 into 1/2 2.642 * [taylor]: Taking taylor expansion of x in x 2.642 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify 1 into 1 2.642 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.642 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.642 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 2.642 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.642 * [taylor]: Taking taylor expansion of 1/2 in x 2.642 * [backup-simplify]: Simplify 1/2 into 1/2 2.642 * [taylor]: Taking taylor expansion of x in x 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.643 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.643 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.644 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 2.644 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.644 * [taylor]: Taking taylor expansion of x in x 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify 1 into 1 2.644 * [backup-simplify]: Simplify (* 0 1/2) into 0 2.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.645 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.646 * [backup-simplify]: Simplify (+ 0) into 0 2.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.647 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.647 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 2.647 * [backup-simplify]: Simplify (* 1 1) into 1 2.648 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.648 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 2.648 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 2.648 * [taylor]: Taking taylor expansion of (sin x) in x 2.648 * [taylor]: Taking taylor expansion of x in x 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify 1 into 1 2.648 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 2.648 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 2.648 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 2.648 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.648 * [taylor]: Taking taylor expansion of 1/2 in x 2.648 * [backup-simplify]: Simplify 1/2 into 1/2 2.648 * [taylor]: Taking taylor expansion of x in x 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify 1 into 1 2.648 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.648 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.649 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 2.649 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.649 * [taylor]: Taking taylor expansion of 1/2 in x 2.649 * [backup-simplify]: Simplify 1/2 into 1/2 2.649 * [taylor]: Taking taylor expansion of x in x 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.649 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.650 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 2.650 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.650 * [taylor]: Taking taylor expansion of x in x 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify 1 into 1 2.650 * [backup-simplify]: Simplify (* 0 1/2) into 0 2.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.651 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.652 * [backup-simplify]: Simplify (+ 0) into 0 2.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.653 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.653 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 2.653 * [backup-simplify]: Simplify (* 1 1) into 1 2.654 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.654 * [backup-simplify]: Simplify 1/2 into 1/2 2.654 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.655 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 2.657 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.658 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 2.659 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.659 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 2.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.660 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.662 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.663 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 2.665 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 2.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.667 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 2.667 * [backup-simplify]: Simplify -1/24 into -1/24 2.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.670 * [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 2.671 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.672 * [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 2.674 * [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 2.675 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.676 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 2.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 2.677 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.681 * [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 2.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.683 * [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 2.684 * [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 2.686 * [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 2.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 2.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.689 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 2.689 * [backup-simplify]: Simplify 1/720 into 1/720 2.689 * [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))) 2.689 * [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)))) 2.689 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 2.689 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 2.689 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.690 * [taylor]: Taking taylor expansion of x in x 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 1 into 1 2.690 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 2.690 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 2.690 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.690 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 2.690 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.690 * [taylor]: Taking taylor expansion of 1/2 in x 2.690 * [backup-simplify]: Simplify 1/2 into 1/2 2.690 * [taylor]: Taking taylor expansion of x in x 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 1 into 1 2.690 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.690 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 2.690 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 2.690 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.690 * [taylor]: Taking taylor expansion of 1/2 in x 2.690 * [backup-simplify]: Simplify 1/2 into 1/2 2.690 * [taylor]: Taking taylor expansion of x in x 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 1 into 1 2.690 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.690 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 2.691 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.691 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.691 * [taylor]: Taking taylor expansion of x in x 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.691 * [backup-simplify]: Simplify (/ 1 1) into 1 2.691 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.691 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 2.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.691 * [taylor]: Taking taylor expansion of x in x 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.691 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 2.691 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 2.691 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.691 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 2.691 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.691 * [taylor]: Taking taylor expansion of 1/2 in x 2.691 * [backup-simplify]: Simplify 1/2 into 1/2 2.691 * [taylor]: Taking taylor expansion of x in x 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.691 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.692 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 2.692 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 2.692 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.692 * [taylor]: Taking taylor expansion of 1/2 in x 2.692 * [backup-simplify]: Simplify 1/2 into 1/2 2.692 * [taylor]: Taking taylor expansion of x in x 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.692 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 2.692 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.692 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.692 * [taylor]: Taking taylor expansion of x in x 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [backup-simplify]: Simplify (/ 1 1) into 1 2.692 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.693 * [backup-simplify]: Simplify (* 1 1) into 1 2.693 * [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))) 2.693 * [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))) 2.693 * [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))) 2.693 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 2.693 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 2.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [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 2.695 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [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 2.697 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [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 2.699 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.701 * [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 2.701 * [backup-simplify]: Simplify 0 into 0 2.701 * [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 2.702 * [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 2.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.704 * [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 2.704 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 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 2.706 * [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 2.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.709 * [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 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [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))) 2.709 * [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)))) 2.709 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 2.709 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 2.709 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.709 * [taylor]: Taking taylor expansion of x in x 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 1 into 1 2.709 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 2.709 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 2.709 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.709 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 2.709 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 2.709 * [taylor]: Taking taylor expansion of -1/2 in x 2.709 * [backup-simplify]: Simplify -1/2 into -1/2 2.709 * [taylor]: Taking taylor expansion of x in x 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.710 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 2.710 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 2.710 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 2.710 * [taylor]: Taking taylor expansion of -1/2 in x 2.710 * [backup-simplify]: Simplify -1/2 into -1/2 2.710 * [taylor]: Taking taylor expansion of x in x 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.710 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 2.710 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.710 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.710 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.710 * [taylor]: Taking taylor expansion of -1 in x 2.710 * [backup-simplify]: Simplify -1 into -1 2.710 * [taylor]: Taking taylor expansion of x in x 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (/ -1 1) into -1 2.711 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.711 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 2.711 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.711 * [taylor]: Taking taylor expansion of x in x 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 2.711 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 2.711 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.711 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 2.711 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 2.711 * [taylor]: Taking taylor expansion of -1/2 in x 2.711 * [backup-simplify]: Simplify -1/2 into -1/2 2.711 * [taylor]: Taking taylor expansion of x in x 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.711 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 2.711 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 2.711 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 2.711 * [taylor]: Taking taylor expansion of -1/2 in x 2.711 * [backup-simplify]: Simplify -1/2 into -1/2 2.711 * [taylor]: Taking taylor expansion of x in x 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.712 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.712 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 2.712 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.712 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.712 * [taylor]: Taking taylor expansion of -1 in x 2.712 * [backup-simplify]: Simplify -1 into -1 2.712 * [taylor]: Taking taylor expansion of x in x 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify 1 into 1 2.712 * [backup-simplify]: Simplify (/ -1 1) into -1 2.712 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.713 * [backup-simplify]: Simplify (* 1 1) into 1 2.713 * [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))) 2.713 * [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))) 2.713 * [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))) 2.713 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 2.713 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 2.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 2.715 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 2.717 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 2.718 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 2.720 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.721 * [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 2.721 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 2.723 * [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 2.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.726 * [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 2.726 * [backup-simplify]: Simplify 0 into 0 2.727 * [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 2.728 * [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 2.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.731 * [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 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [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))) 2.731 * * * [progress]: simplifying candidates 2.731 * * * * [progress]: [ 1 / 117 ] simplifiying candidate # 2.731 * * * * [progress]: [ 2 / 117 ] simplifiying candidate # 2.731 * * * * [progress]: [ 3 / 117 ] simplifiying candidate # 2.731 * * * * [progress]: [ 4 / 117 ] simplifiying candidate # 2.731 * * * * [progress]: [ 5 / 117 ] simplifiying candidate # 2.731 * * * * [progress]: [ 6 / 117 ] simplifiying candidate # 2.731 * * * * [progress]: [ 7 / 117 ] simplifiying candidate # 2.731 * * * * [progress]: [ 8 / 117 ] simplifiying candidate # 2.731 * * * * [progress]: [ 9 / 117 ] simplifiying candidate # 2.731 * * * * [progress]: [ 10 / 117 ] simplifiying candidate # 2.731 * * * * [progress]: [ 11 / 117 ] simplifiying candidate # 2.731 * * * * [progress]: [ 12 / 117 ] simplifiying candidate # 2.731 * * * * [progress]: [ 13 / 117 ] simplifiying candidate # 2.731 * * * * [progress]: [ 14 / 117 ] simplifiying candidate # 2.731 * * * * [progress]: [ 15 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 16 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 17 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 18 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 19 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 20 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 21 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 22 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 23 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 24 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 25 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 26 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 27 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 28 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 29 / 117 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))))> 2.732 * * * * [progress]: [ 30 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 31 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 32 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 33 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 34 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 35 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 36 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 37 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 38 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 39 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 40 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 41 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 42 / 117 ] simplifiying candidate # 2.732 * * * * [progress]: [ 43 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 44 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 45 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 46 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 47 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 48 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 49 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 50 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 51 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 52 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 53 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 54 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 55 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 56 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 57 / 117 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))> 2.733 * * * * [progress]: [ 58 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 59 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 60 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 61 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 62 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 63 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 64 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 65 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 66 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 67 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 68 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 69 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 70 / 117 ] simplifiying candidate # 2.733 * * * * [progress]: [ 71 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 72 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 73 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 74 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 75 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 76 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 77 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 78 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 79 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 80 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 81 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 82 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 83 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 84 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 85 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 86 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 87 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 88 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 89 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 90 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 91 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 92 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 93 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 94 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 95 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 96 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 97 / 117 ] simplifiying candidate # 2.734 * * * * [progress]: [ 98 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 99 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 100 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 101 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 102 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 103 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 104 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 105 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 106 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 107 / 117 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))> 2.735 * * * * [progress]: [ 108 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 109 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 110 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 111 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 112 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 113 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 114 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 115 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 116 / 117 ] simplifiying candidate # 2.735 * * * * [progress]: [ 117 / 117 ] simplifiying candidate # 2.736 * [simplify]: Simplifying: (- (log (tan (/ x 2))) (log x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (/ (cbrt (tan (/ x 2))) (sqrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1) (/ (cbrt (tan (/ x 2))) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) 1) (/ (sqrt (tan (/ x 2))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) (/ 1 1) (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (sqrt x)) (/ (tan (/ x 2)) 1) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* x (cos (/ x 2))) (real->posit16 (/ (tan (/ x 2)) x)) (- (log (sin x)) (log x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) (/ 1 1) (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (/ (sin x) 1) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (+ (- (log (sin x)) (log x)) (- (log (tan (/ x 2))) (log x))) (+ (- (log (sin x)) (log x)) (log (/ (tan (/ x 2)) x))) (+ (log (/ (sin x) x)) (- (log (tan (/ x 2))) (log x))) (+ (log (/ (sin x) x)) (log (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (sin x) (tan (/ x 2))) (* x x) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))) (* (/ (sin x) x) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) 1)) (* (/ (sin x) x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ 1 (sqrt x))) (* (/ (sin x) x) (/ 1 1)) (* (/ (sin x) x) 1) (* (/ (sin x) x) (tan (/ x 2))) (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ 1 x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (tan (/ x 2))) (* (sin x) (/ (tan (/ x 2)) x)) (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 2.738 * * [simplify]: iteration 0: 166 enodes 2.772 * * [simplify]: iteration 1: 448 enodes 2.951 * * [simplify]: iteration 2: 1632 enodes 3.243 * * [simplify]: iteration complete: 2006 enodes 3.243 * * [simplify]: Extracting #0: cost 103 inf + 0 3.244 * * [simplify]: Extracting #1: cost 553 inf + 1 3.247 * * [simplify]: Extracting #2: cost 765 inf + 2856 3.260 * * [simplify]: Extracting #3: cost 383 inf + 105838 3.313 * * [simplify]: Extracting #4: cost 25 inf + 214191 3.354 * * [simplify]: Extracting #5: cost 0 inf + 221549 3.399 * * [simplify]: Extracting #6: cost 0 inf + 221469 3.447 * [simplify]: Simplified to: (log (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (* (/ (cbrt (tan (/ x 2))) (sqrt x)) (cbrt (tan (/ x 2)))) (/ (cbrt (tan (/ x 2))) (sqrt x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (cbrt (tan (/ x 2))) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (tan (/ x 2))) (/ (sqrt (tan (/ x 2))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) 1 (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (/ (tan (/ x 2)) (cbrt x)) (cbrt x)) (/ (tan (/ x 2)) (sqrt x)) (tan (/ x 2)) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* x (cos (/ x 2))) (real->posit16 (/ (tan (/ x 2)) x)) (log (/ (sin x) x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (* (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (* (/ (cbrt (sin x)) (sqrt x)) (cbrt (sin x))) (/ (cbrt (sin x)) (sqrt x)) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) x) (/ (/ (sqrt (sin x)) (cbrt x)) (cbrt x)) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (sqrt (sin x)) (/ (sqrt (sin x)) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) 1 (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (/ (sin x) (cbrt x)) (cbrt x)) (/ (sin x) (sqrt x)) (sin x) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (/ (sin x) (/ x (/ (tan (/ x 2)) x))) (log (/ (sin x) (/ x (/ (tan (/ x 2)) x)))) (log (/ (sin x) (/ x (/ (tan (/ x 2)) x)))) (log (/ (sin x) (/ x (/ (tan (/ x 2)) x)))) (log (/ (sin x) (/ x (/ (tan (/ x 2)) x)))) (log (/ (sin x) (/ x (/ (tan (/ x 2)) x)))) (exp (/ (sin x) (/ x (/ (tan (/ x 2)) x)))) (* (* (* (/ (sin x) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (sin x) x))) (* (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (/ (tan (/ x 2)) x)) (/ (sin x) x)) (* (* (* (/ (sin x) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (sin x) x))) (* (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (/ (tan (/ x 2)) x)) (/ (sin 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))) (/ (tan (/ x 2)) x)) (/ (sin x) x)) (sqrt (/ (sin x) (/ x (/ (tan (/ x 2)) x)))) (sqrt (/ (sin x) (/ x (/ (tan (/ x 2)) x)))) (* (sin x) (tan (/ x 2))) (* x x) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (/ (* (sqrt (sin x)) (sqrt (/ (tan (/ x 2)) x))) (sqrt x)) (/ (* (sqrt (sin x)) (sqrt (/ (tan (/ x 2)) x))) (sqrt x)) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (sin x)) (sqrt x))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (sin x)) (sqrt x))) (* (cbrt (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (cbrt (/ (tan (/ x 2)) x)))) (/ (* (sqrt (/ (tan (/ x 2)) x)) (sin x)) x) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (sin x) x))) (/ (* (* (/ (cbrt (tan (/ x 2))) (sqrt x)) (cbrt (tan (/ x 2)))) (sin x)) x) (/ (* (sin x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) x) (/ (/ (* (sin x) (sqrt (tan (/ x 2)))) (* (cbrt x) (cbrt x))) x) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (sqrt (tan (/ x 2)))) (/ (/ (/ (sin x) (cbrt x)) (cbrt x)) x) (/ (/ (sin x) x) (sqrt x)) (/ (sin x) x) (/ (sin x) x) (* (sin x) (/ (tan (/ x 2)) x)) (/ (cbrt (/ (sin x) x)) (/ x (tan (/ x 2)))) (/ (* (sqrt (/ (sin x) x)) (tan (/ x 2))) x) (/ (* (tan (/ x 2)) (/ (cbrt (sin x)) x)) (cbrt x)) (* (/ (tan (/ x 2)) x) (/ (cbrt (sin x)) (sqrt x))) (/ (* (/ (cbrt (sin x)) x) (tan (/ x 2))) x) (/ (/ (sqrt (sin x)) (cbrt x)) (/ x (tan (/ x 2)))) (/ (/ (* (sqrt (sin x)) (tan (/ x 2))) (sqrt x)) x) (/ (* (sqrt (sin x)) (/ (tan (/ x 2)) x)) x) (/ (* (/ (sin x) (cbrt x)) (tan (/ x 2))) x) (/ (/ (* (sin x) (tan (/ x 2))) x) (sqrt x)) (/ (sin x) (/ x (/ (tan (/ x 2)) x))) (/ (sin x) (/ x (/ (tan (/ x 2)) x))) (/ (/ (tan (/ x 2)) x) x) (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x)) (real->posit16 (/ (sin x) (/ x (/ (tan (/ x 2)) x)))) (+ (+ (* 1/24 (* x x)) 1/2) (* 1/240 (* (* x x) (* x x)))) (/ (sin (* x 1/2)) (* (cos (* x 1/2)) x)) (/ (sin (* x 1/2)) (* (cos (* x 1/2)) x)) (+ (+ 1 (* (* x x) -1/6)) (* 1/120 (* (* x x) (* x x)))) (/ (sin x) x) (/ (sin x) x) (+ (- 1/2 (* 1/24 (* x x))) (* (* (* x x) (* x x)) 1/720)) (* (/ (sin x) (* (* x x) (cos (* x 1/2)))) (sin (* x 1/2))) (* (/ (sin x) (* (* x x) (cos (* x 1/2)))) (sin (* x 1/2))) 3.458 * * * [progress]: adding candidates to table 3.939 * * [progress]: iteration 4 / 4 3.939 * * * [progress]: picking best candidate 3.948 * * * * [pick]: Picked # 3.948 * * * [progress]: localizing error 3.966 * * * [progress]: generating rewritten candidates 3.966 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 4.000 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 4.014 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.039 * * * [progress]: generating series expansions 4.039 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 4.039 * [backup-simplify]: Simplify (* (/ (sin x) x) (tan (/ x 2))) into (/ (* (sin x) (tan (* 1/2 x))) x) 4.039 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in (x) around 0 4.039 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 4.039 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 4.039 * [taylor]: Taking taylor expansion of (sin x) in x 4.039 * [taylor]: Taking taylor expansion of x in x 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify 1 into 1 4.039 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.039 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.039 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.039 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.039 * [taylor]: Taking taylor expansion of 1/2 in x 4.039 * [backup-simplify]: Simplify 1/2 into 1/2 4.039 * [taylor]: Taking taylor expansion of x in x 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.041 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.041 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.041 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.041 * [taylor]: Taking taylor expansion of 1/2 in x 4.041 * [backup-simplify]: Simplify 1/2 into 1/2 4.041 * [taylor]: Taking taylor expansion of x in x 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify 1 into 1 4.041 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.041 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.042 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.042 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.042 * [taylor]: Taking taylor expansion of x in x 4.042 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify 1 into 1 4.043 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.044 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.044 * [backup-simplify]: Simplify (+ 0) into 0 4.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.045 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.045 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 4.046 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.046 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 4.046 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 4.046 * [taylor]: Taking taylor expansion of (sin x) in x 4.046 * [taylor]: Taking taylor expansion of x in x 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify 1 into 1 4.046 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.046 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.046 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.046 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.046 * [taylor]: Taking taylor expansion of 1/2 in x 4.046 * [backup-simplify]: Simplify 1/2 into 1/2 4.046 * [taylor]: Taking taylor expansion of x in x 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify 1 into 1 4.046 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.047 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.047 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.047 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.047 * [taylor]: Taking taylor expansion of 1/2 in x 4.047 * [backup-simplify]: Simplify 1/2 into 1/2 4.047 * [taylor]: Taking taylor expansion of x in x 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 1 into 1 4.047 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.047 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.048 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.048 * [taylor]: Taking taylor expansion of x in x 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.048 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.050 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.050 * [backup-simplify]: Simplify (+ 0) into 0 4.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.051 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 4.052 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.052 * [backup-simplify]: Simplify 1/2 into 1/2 4.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.053 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 4.054 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 4.055 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 4.055 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.056 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 4.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.057 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.058 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.060 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 4.061 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 4.063 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 4.063 * [backup-simplify]: Simplify -1/24 into -1/24 4.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.066 * [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 4.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.069 * [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 4.070 * [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 4.071 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.072 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 4.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 4.074 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.081 * [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 4.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.085 * [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 4.088 * [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 4.092 * [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 4.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 4.096 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 4.096 * [backup-simplify]: Simplify 1/720 into 1/720 4.097 * [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))) 4.097 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (tan (/ (/ 1 x) 2))) into (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 4.097 * [approximate]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 4.097 * [taylor]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 4.097 * [taylor]: Taking taylor expansion of x in x 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 1 into 1 4.097 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 4.097 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.097 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.097 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.097 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.097 * [taylor]: Taking taylor expansion of 1/2 in x 4.097 * [backup-simplify]: Simplify 1/2 into 1/2 4.098 * [taylor]: Taking taylor expansion of x in x 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.098 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.098 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.098 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.098 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.098 * [taylor]: Taking taylor expansion of 1/2 in x 4.098 * [backup-simplify]: Simplify 1/2 into 1/2 4.098 * [taylor]: Taking taylor expansion of x in x 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.099 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.099 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.099 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.099 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.099 * [taylor]: Taking taylor expansion of x in x 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 1 into 1 4.100 * [backup-simplify]: Simplify (/ 1 1) into 1 4.100 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.100 * [taylor]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 4.100 * [taylor]: Taking taylor expansion of x in x 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 4.100 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.100 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.100 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.100 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.100 * [taylor]: Taking taylor expansion of 1/2 in x 4.100 * [backup-simplify]: Simplify 1/2 into 1/2 4.100 * [taylor]: Taking taylor expansion of x in x 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.101 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.101 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.101 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.101 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.101 * [taylor]: Taking taylor expansion of 1/2 in x 4.101 * [backup-simplify]: Simplify 1/2 into 1/2 4.101 * [taylor]: Taking taylor expansion of x in x 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.102 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.102 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.102 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.102 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.102 * [taylor]: Taking taylor expansion of x in x 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 1 into 1 4.103 * [backup-simplify]: Simplify (/ 1 1) into 1 4.103 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.103 * [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))) 4.103 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 4.104 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 4.104 * [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))) 4.105 * [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))) 4.105 * [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 4.106 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 4.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [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 4.108 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 4.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [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 4.112 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 4.113 * [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 4.113 * [backup-simplify]: Simplify 0 into 0 4.114 * [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 4.115 * [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 4.117 * [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 4.117 * [backup-simplify]: Simplify 0 into 0 4.118 * [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 4.120 * [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 4.122 * [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 4.122 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 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 4.125 * [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 4.128 * [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 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [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)) 4.128 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) into (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) 4.128 * [approximate]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in (x) around 0 4.128 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 4.128 * [taylor]: Taking taylor expansion of -1 in x 4.128 * [backup-simplify]: Simplify -1 into -1 4.128 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 4.128 * [taylor]: Taking taylor expansion of x in x 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 1 into 1 4.128 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 4.128 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.128 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.128 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.128 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.128 * [taylor]: Taking taylor expansion of -1/2 in x 4.128 * [backup-simplify]: Simplify -1/2 into -1/2 4.129 * [taylor]: Taking taylor expansion of x in x 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify 1 into 1 4.129 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.129 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.129 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.129 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.129 * [taylor]: Taking taylor expansion of -1/2 in x 4.129 * [backup-simplify]: Simplify -1/2 into -1/2 4.129 * [taylor]: Taking taylor expansion of x in x 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify 1 into 1 4.130 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.130 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.130 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.130 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.130 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.130 * [taylor]: Taking taylor expansion of -1 in x 4.130 * [backup-simplify]: Simplify -1 into -1 4.130 * [taylor]: Taking taylor expansion of x in x 4.130 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify 1 into 1 4.130 * [backup-simplify]: Simplify (/ -1 1) into -1 4.130 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.130 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 4.130 * [taylor]: Taking taylor expansion of -1 in x 4.131 * [backup-simplify]: Simplify -1 into -1 4.131 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 4.131 * [taylor]: Taking taylor expansion of x in x 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 1 into 1 4.131 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 4.131 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.131 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.131 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.131 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.131 * [taylor]: Taking taylor expansion of -1/2 in x 4.131 * [backup-simplify]: Simplify -1/2 into -1/2 4.131 * [taylor]: Taking taylor expansion of x in x 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 1 into 1 4.131 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.131 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.131 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.131 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.131 * [taylor]: Taking taylor expansion of -1/2 in x 4.131 * [backup-simplify]: Simplify -1/2 into -1/2 4.131 * [taylor]: Taking taylor expansion of x in x 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.132 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.132 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.132 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.132 * [taylor]: Taking taylor expansion of -1 in x 4.132 * [backup-simplify]: Simplify -1 into -1 4.132 * [taylor]: Taking taylor expansion of x in x 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.133 * [backup-simplify]: Simplify (/ -1 1) into -1 4.133 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.133 * [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))) 4.133 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into 0 4.134 * [backup-simplify]: Simplify (* -1 0) into 0 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 4.134 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 4.135 * [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))) 4.136 * [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)))) 4.136 * [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)))) 4.137 * [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 4.137 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 4.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 4.139 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))) into 0 4.139 * [backup-simplify]: Simplify 0 into 0 4.140 * [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 4.141 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 4.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 4.143 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))) into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.144 * [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 4.145 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 4.149 * [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 4.151 * [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 4.151 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.153 * [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 4.155 * [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 4.157 * [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 4.158 * [backup-simplify]: Simplify 0 into 0 4.158 * [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 4.160 * [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 4.163 * [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 4.166 * [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 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [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 4.169 * [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 4.171 * [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 4.174 * [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 4.174 * [backup-simplify]: Simplify 0 into 0 4.175 * [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)) 4.175 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 4.175 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 4.175 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 4.175 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 4.175 * [taylor]: Taking taylor expansion of (sin x) in x 4.175 * [taylor]: Taking taylor expansion of x in x 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify 1 into 1 4.175 * [taylor]: Taking taylor expansion of x in x 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify 1 into 1 4.176 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.176 * [backup-simplify]: Simplify (/ 1 1) into 1 4.176 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 4.176 * [taylor]: Taking taylor expansion of (sin x) in x 4.176 * [taylor]: Taking taylor expansion of x in x 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 1 into 1 4.176 * [taylor]: Taking taylor expansion of x in x 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 1 into 1 4.177 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.177 * [backup-simplify]: Simplify (/ 1 1) into 1 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.179 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.182 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 4.182 * [backup-simplify]: Simplify -1/6 into -1/6 4.184 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 4.185 * [backup-simplify]: Simplify 0 into 0 4.188 * [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 4.189 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 4.189 * [backup-simplify]: Simplify 1/120 into 1/120 4.190 * [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))) 4.190 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 4.190 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 4.190 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 4.190 * [taylor]: Taking taylor expansion of x in x 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 1 into 1 4.190 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.190 * [taylor]: Taking taylor expansion of x in x 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 1 into 1 4.190 * [backup-simplify]: Simplify (/ 1 1) into 1 4.190 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.190 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 4.190 * [taylor]: Taking taylor expansion of x in x 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 1 into 1 4.190 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.190 * [taylor]: Taking taylor expansion of x in x 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 1 into 1 4.191 * [backup-simplify]: Simplify (/ 1 1) into 1 4.191 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.191 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 4.191 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 4.192 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 4.193 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 4.194 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 4.195 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 4.196 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 4.198 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 4.198 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 4.198 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 4.198 * [taylor]: Taking taylor expansion of -1 in x 4.198 * [backup-simplify]: Simplify -1 into -1 4.198 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 4.198 * [taylor]: Taking taylor expansion of x in x 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 1 into 1 4.198 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.198 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.198 * [taylor]: Taking taylor expansion of -1 in x 4.198 * [backup-simplify]: Simplify -1 into -1 4.198 * [taylor]: Taking taylor expansion of x in x 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 1 into 1 4.199 * [backup-simplify]: Simplify (/ -1 1) into -1 4.199 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.199 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 4.199 * [taylor]: Taking taylor expansion of -1 in x 4.199 * [backup-simplify]: Simplify -1 into -1 4.199 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 4.199 * [taylor]: Taking taylor expansion of x in x 4.199 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify 1 into 1 4.199 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.199 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.199 * [taylor]: Taking taylor expansion of -1 in x 4.199 * [backup-simplify]: Simplify -1 into -1 4.199 * [taylor]: Taking taylor expansion of x in x 4.199 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify 1 into 1 4.199 * [backup-simplify]: Simplify (/ -1 1) into -1 4.199 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.199 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 4.200 * [backup-simplify]: Simplify (* -1 0) into 0 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 4.200 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 4.200 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 4.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 4.201 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 4.201 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 4.203 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 4.203 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 4.205 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 4.207 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 4.207 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 4.210 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 4.210 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 4.214 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 4.214 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.214 * [backup-simplify]: Simplify (/ (* (/ (sin x) x) (tan (/ x 2))) x) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 4.214 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 4.214 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 4.214 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 4.214 * [taylor]: Taking taylor expansion of (sin x) in x 4.214 * [taylor]: Taking taylor expansion of x in x 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 1 into 1 4.214 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.214 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.214 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.214 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.214 * [taylor]: Taking taylor expansion of 1/2 in x 4.214 * [backup-simplify]: Simplify 1/2 into 1/2 4.214 * [taylor]: Taking taylor expansion of x in x 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 1 into 1 4.214 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.215 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.215 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.215 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.215 * [taylor]: Taking taylor expansion of 1/2 in x 4.215 * [backup-simplify]: Simplify 1/2 into 1/2 4.215 * [taylor]: Taking taylor expansion of x in x 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 1 into 1 4.215 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.216 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.216 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.217 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.217 * [taylor]: Taking taylor expansion of x in x 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 1 into 1 4.217 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.218 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.218 * [backup-simplify]: Simplify (+ 0) into 0 4.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.219 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.220 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 4.220 * [backup-simplify]: Simplify (* 1 1) into 1 4.220 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.220 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 4.220 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 4.221 * [taylor]: Taking taylor expansion of (sin x) in x 4.221 * [taylor]: Taking taylor expansion of x in x 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 1 into 1 4.221 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.221 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.221 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.221 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.221 * [taylor]: Taking taylor expansion of 1/2 in x 4.221 * [backup-simplify]: Simplify 1/2 into 1/2 4.221 * [taylor]: Taking taylor expansion of x in x 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 1 into 1 4.222 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.222 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.222 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.223 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.223 * [taylor]: Taking taylor expansion of 1/2 in x 4.223 * [backup-simplify]: Simplify 1/2 into 1/2 4.223 * [taylor]: Taking taylor expansion of x in x 4.223 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify 1 into 1 4.223 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.224 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.225 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.225 * [taylor]: Taking taylor expansion of x in x 4.225 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify 1 into 1 4.226 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.227 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.228 * [backup-simplify]: Simplify (+ 0) into 0 4.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.229 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.230 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 4.231 * [backup-simplify]: Simplify (* 1 1) into 1 4.231 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.231 * [backup-simplify]: Simplify 1/2 into 1/2 4.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.234 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 4.235 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 4.237 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 4.238 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.239 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 4.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.241 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.244 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.246 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 4.249 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 4.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.253 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 4.253 * [backup-simplify]: Simplify -1/24 into -1/24 4.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.259 * [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 4.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.263 * [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 4.266 * [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 4.267 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.271 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 4.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 4.274 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.280 * [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 4.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.284 * [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 4.286 * [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 4.288 * [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 4.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 4.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.290 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 4.290 * [backup-simplify]: Simplify 1/720 into 1/720 4.291 * [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))) 4.291 * [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)))) 4.291 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 4.291 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 4.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.291 * [taylor]: Taking taylor expansion of x in x 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 4.291 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.291 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.291 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.291 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.291 * [taylor]: Taking taylor expansion of 1/2 in x 4.291 * [backup-simplify]: Simplify 1/2 into 1/2 4.291 * [taylor]: Taking taylor expansion of x in x 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.292 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.292 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.292 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.292 * [taylor]: Taking taylor expansion of 1/2 in x 4.292 * [backup-simplify]: Simplify 1/2 into 1/2 4.292 * [taylor]: Taking taylor expansion of x in x 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 1 into 1 4.292 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.292 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.292 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.292 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.292 * [taylor]: Taking taylor expansion of x in x 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 1 into 1 4.292 * [backup-simplify]: Simplify (/ 1 1) into 1 4.292 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.292 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 4.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.292 * [taylor]: Taking taylor expansion of x in x 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 1 into 1 4.293 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 4.293 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.293 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.293 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.293 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.293 * [taylor]: Taking taylor expansion of 1/2 in x 4.293 * [backup-simplify]: Simplify 1/2 into 1/2 4.293 * [taylor]: Taking taylor expansion of x in x 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 1 into 1 4.293 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.293 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.293 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.293 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.293 * [taylor]: Taking taylor expansion of 1/2 in x 4.293 * [backup-simplify]: Simplify 1/2 into 1/2 4.293 * [taylor]: Taking taylor expansion of x in x 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 1 into 1 4.293 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.293 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.294 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.294 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.294 * [taylor]: Taking taylor expansion of x in x 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 1 into 1 4.294 * [backup-simplify]: Simplify (/ 1 1) into 1 4.294 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.294 * [backup-simplify]: Simplify (* 1 1) into 1 4.294 * [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))) 4.294 * [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))) 4.295 * [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))) 4.295 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 4.295 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 4.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [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 4.296 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 4.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 4.297 * [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)))))) into 0 4.298 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 4.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 4.300 * [backup-simplify]: Simplify 0 into 0 4.300 * [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 4.301 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 4.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.303 * [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 4.303 * [backup-simplify]: Simplify 0 into 0 4.303 * [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 4.304 * [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 4.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.306 * [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 4.306 * [backup-simplify]: Simplify 0 into 0 4.306 * [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 4.308 * [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 4.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.310 * [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 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [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))) 4.311 * [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)))) 4.311 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 4.311 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 4.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.311 * [taylor]: Taking taylor expansion of x in x 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify 1 into 1 4.311 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 4.311 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.311 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.311 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.311 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.311 * [taylor]: Taking taylor expansion of -1/2 in x 4.311 * [backup-simplify]: Simplify -1/2 into -1/2 4.311 * [taylor]: Taking taylor expansion of x in x 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify 1 into 1 4.311 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.311 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.311 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.311 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.311 * [taylor]: Taking taylor expansion of -1/2 in x 4.311 * [backup-simplify]: Simplify -1/2 into -1/2 4.311 * [taylor]: Taking taylor expansion of x in x 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify 1 into 1 4.312 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.312 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.312 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.312 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.312 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.312 * [taylor]: Taking taylor expansion of -1 in x 4.312 * [backup-simplify]: Simplify -1 into -1 4.312 * [taylor]: Taking taylor expansion of x in x 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 1 into 1 4.312 * [backup-simplify]: Simplify (/ -1 1) into -1 4.312 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.312 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 4.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.312 * [taylor]: Taking taylor expansion of x in x 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 1 into 1 4.312 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 4.312 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.312 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.312 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.312 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.312 * [taylor]: Taking taylor expansion of -1/2 in x 4.313 * [backup-simplify]: Simplify -1/2 into -1/2 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 (/ -1/2 1) into -1/2 4.313 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.313 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.313 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.313 * [taylor]: Taking taylor expansion of -1/2 in x 4.313 * [backup-simplify]: Simplify -1/2 into -1/2 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 (/ -1/2 1) into -1/2 4.313 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.313 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.313 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.313 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.313 * [taylor]: Taking taylor expansion of -1 in x 4.313 * [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 4.314 * [backup-simplify]: Simplify (/ -1 1) into -1 4.314 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.314 * [backup-simplify]: Simplify (* 1 1) into 1 4.314 * [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))) 4.314 * [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))) 4.315 * [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))) 4.315 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 4.315 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 4.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 4.316 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.316 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 4.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 4.317 * [backup-simplify]: Simplify 0 into 0 4.318 * [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 4.318 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 4.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 4.320 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.321 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 4.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.323 * [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 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.324 * [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 4.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.326 * [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 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [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 4.328 * [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 4.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.330 * [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 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [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))) 4.330 * * * [progress]: simplifying candidates 4.331 * * * * [progress]: [ 1 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 2 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 3 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 4 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 5 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 6 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 7 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 8 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 9 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 10 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 11 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 12 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 13 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 14 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 15 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 16 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 17 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 18 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 19 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 20 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 21 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 22 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 23 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 24 / 99 ] simplifiying candidate # 4.331 * * * * [progress]: [ 25 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 26 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 27 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 28 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 29 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 30 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 31 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 32 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 33 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 34 / 99 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (tan (/ x 2))))) x))> 4.332 * * * * [progress]: [ 35 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 36 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 37 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 38 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 39 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 40 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 41 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 42 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 43 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 44 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 45 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 46 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 47 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 48 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 49 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 50 / 99 ] simplifiying candidate # 4.332 * * * * [progress]: [ 51 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 52 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 53 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 54 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 55 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 56 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 57 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 58 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 59 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 60 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 61 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 62 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 63 / 99 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (tan (/ x 2))) x))> 4.333 * * * * [progress]: [ 64 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 65 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 66 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 67 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 68 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 69 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 70 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 71 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 72 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 73 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 74 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 75 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 76 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 77 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 78 / 99 ] simplifiying candidate # 4.333 * * * * [progress]: [ 79 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 80 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 81 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 82 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 83 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 84 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 85 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 86 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 87 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 88 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 89 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 90 / 99 ] simplifiying candidate #real (real->posit16 (/ (* (/ (sin x) x) (tan (/ x 2))) x))))> 4.334 * * * * [progress]: [ 91 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 92 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 93 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 94 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 95 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 96 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 97 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 98 / 99 ] simplifiying candidate # 4.334 * * * * [progress]: [ 99 / 99 ] simplifiying candidate # 4.335 * [simplify]: Simplifying: (* (/ (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)))) (- (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)) (- (+ (- (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))) 4.336 * * [simplify]: iteration 0: 154 enodes 4.391 * * [simplify]: iteration 1: 373 enodes 4.544 * * [simplify]: iteration 2: 1273 enodes 4.772 * * [simplify]: iteration complete: 2005 enodes 4.772 * * [simplify]: Extracting #0: cost 86 inf + 0 4.773 * * [simplify]: Extracting #1: cost 460 inf + 1 4.776 * * [simplify]: Extracting #2: cost 814 inf + 3078 4.783 * * [simplify]: Extracting #3: cost 583 inf + 51639 4.801 * * [simplify]: Extracting #4: cost 191 inf + 160074 4.838 * * [simplify]: Extracting #5: cost 12 inf + 228675 4.880 * * [simplify]: Extracting #6: cost 0 inf + 233034 4.912 * [simplify]: Simplified to: (* (/ (sin x) x) (tan (/ x 2))) (log (* (/ (sin x) x) (tan (/ x 2)))) (log (* (/ (sin x) x) (tan (/ x 2)))) (log (* (/ (sin x) x) (tan (/ x 2)))) (exp (* (/ (sin x) x) (tan (/ x 2)))) (* (* (/ (sin x) x) (/ (sin x) x)) (* (/ (sin x) x) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))))) (* (* (/ (sin x) x) (tan (/ x 2))) (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))))) (* (cbrt (* (/ (sin x) x) (tan (/ x 2)))) (cbrt (* (/ (sin x) x) (tan (/ x 2))))) (cbrt (* (/ (sin x) x) (tan (/ x 2)))) (* (* (/ (sin x) x) (tan (/ x 2))) (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))))) (sqrt (* (/ (sin x) x) (tan (/ x 2)))) (sqrt (* (/ (sin x) x) (tan (/ x 2)))) (* (sin (/ x 2)) (sin x)) (* x (cos (/ x 2))) (* (sqrt (/ (sin x) x)) (sqrt (tan (/ x 2)))) (* (sqrt (/ (sin x) x)) (sqrt (tan (/ x 2)))) (/ (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) (sqrt x)) (/ (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) (sqrt x)) (* (/ (sin x) x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (* (sqrt (tan (/ x 2))) (/ (sin x) x)) (/ (sin x) x) (* (tan (/ x 2)) (cbrt (/ (sin x) x))) (* (sqrt (/ (sin x) x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) (cbrt x)) (tan (/ x 2))) (* (tan (/ x 2)) (/ (cbrt (sin x)) (sqrt x))) (* (/ (cbrt (sin x)) x) (tan (/ x 2))) (/ (sqrt (sin x)) (/ (cbrt x) (tan (/ x 2)))) (/ (* (sqrt (sin x)) (tan (/ x 2))) (sqrt x)) (* (tan (/ x 2)) (/ (sqrt (sin x)) x)) (/ (* (tan (/ x 2)) (sin x)) (cbrt x)) (/ (* (sin x) (tan (/ x 2))) (sqrt x)) (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))) (/ (tan (/ x 2)) x) (/ (* (sin (/ x 2)) (sin x)) x) (* (tan (/ x 2)) (sin x)) (real->posit16 (* (/ (sin x) x) (tan (/ x 2)))) (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)) (log (* (/ (/ (sin x) x) x) (tan (/ x 2)))) (log (* (/ (/ (sin x) x) x) (tan (/ x 2)))) (log (* (/ (/ (sin x) x) x) (tan (/ x 2)))) (log (* (/ (/ (sin x) x) x) (tan (/ x 2)))) (exp (* (/ (/ (sin x) x) x) (tan (/ x 2)))) (/ (* (* (sin x) (* (sin x) (sin x))) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* x (* x x)) (* x (* x x)))) (* (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (* (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (* (cbrt (* (/ (/ (sin x) x) x) (tan (/ x 2)))) (cbrt (* (/ (/ (sin x) x) x) (tan (/ x 2))))) (cbrt (* (/ (/ (sin x) x) x) (tan (/ x 2)))) (* (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (sqrt (* (/ (/ (sin x) x) x) (tan (/ x 2)))) (sqrt (* (/ (/ (sin x) x) x) (tan (/ x 2)))) (- (* (/ (sin x) 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) (/ (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) (/ (sqrt x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2))) (/ x (tan (/ x 2))) (* (* x (cos (/ x 2))) x) (* x (cos (/ x 2))) (* x x) (real->posit16 (* (/ (/ (sin x) x) x) (tan (/ x 2)))) (+ (- (* (pow x 5) 1/720) (* (* x x) (* x 1/24))) (* 1/2 x)) (* (/ (sin x) (cos (* 1/2 x))) (/ (sin (* 1/2 x)) x)) (* (/ (sin x) (cos (* 1/2 x))) (/ (sin (* 1/2 x)) x)) (+ (- 1 (* (* x x) 1/6)) (* 1/120 (* (* x x) (* x x)))) (/ (sin x) x) (/ (sin x) x) (+ 1/2 (+ (* 1/720 (* (* x x) (* x x))) (* (* x x) -1/24))) (/ (sin x) (/ (* (* x x) (cos (* 1/2 x))) (sin (* 1/2 x)))) (/ (sin x) (/ (* (* x x) (cos (* 1/2 x))) (sin (* 1/2 x)))) 4.917 * * * [progress]: adding candidates to table 5.323 * [progress]: [Phase 3 of 3] Extracting. 5.323 * * [regime]: Finding splitpoints for: (# # # #) 5.324 * * * [regime-changes]: Trying 1 branch expressions: (x) 5.324 * * * * [regimes]: Trying to branch on x from (# # # #) 5.348 * * * [regime]: Found split indices: #