17.940 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.117 * * * [progress]: [2/2] Setting up program. 0.119 * [progress]: [Phase 2 of 3] Improving. 0.119 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.119 * [simplify]: Simplifying: (/ (- 1 (cos x)) (* x x)) 0.120 * * [simplify]: iteration 0: 6 enodes 0.121 * * [simplify]: iteration 1: 15 enodes 0.124 * * [simplify]: iteration 2: 23 enodes 0.127 * * [simplify]: iteration 3: 28 enodes 0.131 * * [simplify]: iteration 4: 30 enodes 0.135 * * [simplify]: iteration complete: 30 enodes 0.135 * * [simplify]: Extracting #0: cost 1 inf + 0 0.135 * * [simplify]: Extracting #1: cost 8 inf + 0 0.136 * * [simplify]: Extracting #2: cost 12 inf + 42 0.136 * * [simplify]: Extracting #3: cost 7 inf + 447 0.136 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.137 * [simplify]: Simplified to: (/ (- 1 (cos x)) (* x x)) 0.138 * * [progress]: iteration 1 / 4 0.138 * * * [progress]: picking best candidate 0.141 * * * * [pick]: Picked # 0.141 * * * [progress]: localizing error 0.152 * * * [progress]: generating rewritten candidates 0.152 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.169 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.185 * * * [progress]: generating series expansions 0.185 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.190 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2)) 0.190 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0 0.191 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.192 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.192 * [taylor]: Taking taylor expansion of 1 in x 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [taylor]: Taking taylor expansion of (cos x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (- 1) into -1 0.194 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.195 * [backup-simplify]: Simplify (+ 0) into 0 0.195 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.197 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.197 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.198 * [backup-simplify]: Simplify (* 1 1) into 1 0.198 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.198 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.198 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.198 * [taylor]: Taking taylor expansion of 1 in x 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [taylor]: Taking taylor expansion of (cos x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (- 1) into -1 0.199 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.200 * [backup-simplify]: Simplify (+ 0) into 0 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.202 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.202 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.203 * [backup-simplify]: Simplify (* 1 1) into 1 0.203 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.204 * [backup-simplify]: Simplify 1/2 into 1/2 0.205 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.210 * [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 0.210 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.211 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.213 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.213 * [backup-simplify]: Simplify -1/24 into -1/24 0.215 * [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 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.223 * [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 0.224 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.224 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.226 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.226 * [backup-simplify]: Simplify 1/720 into 1/720 0.227 * [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))) 0.227 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.227 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 0.227 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.227 * [taylor]: Taking taylor expansion of 1 in x 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.228 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.228 * [taylor]: Taking taylor expansion of 1 in x 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.229 * [backup-simplify]: Simplify (* 1 1) into 1 0.229 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.229 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.229 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.229 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [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 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [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 1)))))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.251 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.251 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.251 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.251 * [taylor]: Taking taylor expansion of 1 in x 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.252 * [taylor]: Taking taylor expansion of -1 in x 0.252 * [backup-simplify]: Simplify -1 into -1 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (/ -1 1) into -1 0.252 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.252 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.252 * [taylor]: Taking taylor expansion of 1 in x 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.253 * [taylor]: Taking taylor expansion of -1 in x 0.253 * [backup-simplify]: Simplify -1 into -1 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (/ -1 1) into -1 0.253 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.254 * [backup-simplify]: Simplify (* 1 1) into 1 0.254 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.254 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.254 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.254 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 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 1))) into 0 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.275 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.275 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.275 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.275 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.275 * [taylor]: Taking taylor expansion of 1 in x 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [taylor]: Taking taylor expansion of (cos x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.276 * [taylor]: Taking taylor expansion of 1 in x 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [taylor]: Taking taylor expansion of (cos x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (- 1) into -1 0.277 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (+ 0) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.279 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.279 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.279 * [backup-simplify]: Simplify 1/2 into 1/2 0.281 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 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 0.284 * [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 0.284 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.285 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.285 * [backup-simplify]: Simplify -1/24 into -1/24 0.287 * [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 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.292 * [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 0.292 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.293 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.293 * [backup-simplify]: Simplify 1/720 into 1/720 0.293 * [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))) 0.293 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.293 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.293 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.293 * [taylor]: Taking taylor expansion of 1 in x 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.294 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.294 * [taylor]: Taking taylor expansion of 1 in x 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.294 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.294 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.294 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.298 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.298 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.298 * [taylor]: Taking taylor expansion of 1 in x 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.298 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.298 * [taylor]: Taking taylor expansion of -1 in x 0.298 * [backup-simplify]: Simplify -1 into -1 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (/ -1 1) into -1 0.298 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.298 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.298 * [taylor]: Taking taylor expansion of 1 in x 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.298 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.298 * [taylor]: Taking taylor expansion of -1 in x 0.298 * [backup-simplify]: Simplify -1 into -1 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ -1 1) into -1 0.299 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.299 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.299 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.299 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.302 * * * [progress]: simplifying candidates 0.302 * * * * [progress]: [ 1 / 69 ] simplifiying candidate # 0.302 * * * * [progress]: [ 2 / 69 ] simplifiying candidate # 0.302 * * * * [progress]: [ 3 / 69 ] simplifiying candidate # 0.302 * * * * [progress]: [ 4 / 69 ] simplifiying candidate # 0.302 * * * * [progress]: [ 5 / 69 ] simplifiying candidate # 0.302 * * * * [progress]: [ 6 / 69 ] simplifiying candidate # 0.302 * * * * [progress]: [ 7 / 69 ] simplifiying candidate # 0.302 * * * * [progress]: [ 8 / 69 ] simplifiying candidate # 0.302 * * * * [progress]: [ 9 / 69 ] simplifiying candidate # 0.302 * * * * [progress]: [ 10 / 69 ] simplifiying candidate # 0.302 * * * * [progress]: [ 11 / 69 ] simplifiying candidate # 0.302 * * * * [progress]: [ 12 / 69 ] simplifiying candidate # 0.302 * * * * [progress]: [ 13 / 69 ] simplifiying candidate # 0.302 * * * * [progress]: [ 14 / 69 ] simplifiying candidate # 0.302 * * * * [progress]: [ 15 / 69 ] simplifiying candidate # 0.302 * * * * [progress]: [ 16 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 17 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 18 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 19 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 20 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 21 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 22 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 23 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 24 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 25 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 26 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 27 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 28 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 29 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 30 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 31 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 32 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.303 * * * * [progress]: [ 34 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 35 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 36 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 37 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 38 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 39 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 40 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 41 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 42 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 43 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 44 / 69 ] simplifiying candidate # 0.303 * * * * [progress]: [ 45 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 46 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 47 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 48 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 49 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 50 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 51 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 52 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 53 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 54 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 55 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 56 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 57 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 58 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 59 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 60 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 61 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 62 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.304 * * * * [progress]: [ 64 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 65 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 66 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 67 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 68 / 69 ] simplifiying candidate # 0.304 * * * * [progress]: [ 69 / 69 ] simplifiying candidate # 0.305 * [simplify]: Simplifying: (expm1 (/ (- 1 (cos x)) (* x x))) (log1p (/ (- 1 (cos x)) (* x x))) (- (log (- 1 (cos x))) (+ (log x) (log x))) (- (log (- 1 (cos x))) (log (* x x))) (log (/ (- 1 (cos x)) (* x x))) (exp (/ (- 1 (cos x)) (* x x))) (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x))) (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (- (- 1 (cos x))) (- (* x x)) (/ 1 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x) (/ (cbrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (+ (sqrt 1) (sqrt (cos x))) x) (/ (- (sqrt 1) (sqrt (cos x))) x) (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1 (cos x))) (/ (- 1 (cos x)) x) (/ (* x x) (cbrt (- 1 (cos x)))) (/ (* x x) (sqrt (- 1 (cos x)))) (/ (* x x) (- 1 (cos x))) (/ (* x x) (- (sqrt 1) (sqrt (cos x)))) (/ (* x x) (- 1 (sqrt (cos x)))) (/ (* x x) (- 1 (cos x))) (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))) (* (* x x) (+ 1 (cos x))) (real->posit16 (/ (- 1 (cos x)) (* x x))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1) (sqrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1) (exp (cos x))) (log (- 1 (cos x))) (exp (- 1 (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))) (- (cos x)) (- (* 1 1) (* (cos x) (cos x))) (+ 1 (cos x)) (+ (sqrt 1) (sqrt (cos x))) (- (sqrt 1) (sqrt (cos x))) (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (real->posit16 (- 1 (cos x))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1 (cos x)) (pow x 2)) (/ (- 1 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1 (cos x)) (- 1 (cos x)) 0.306 * * [simplify]: iteration 0: 121 enodes 0.353 * * [simplify]: iteration 1: 295 enodes 0.451 * * [simplify]: iteration 2: 867 enodes 0.612 * * [simplify]: iteration 3: 2048 enodes 0.979 * * [simplify]: iteration complete: 2048 enodes 0.979 * * [simplify]: Extracting #0: cost 48 inf + 0 0.981 * * [simplify]: Extracting #1: cost 408 inf + 0 0.987 * * [simplify]: Extracting #2: cost 666 inf + 12127 1.008 * * [simplify]: Extracting #3: cost 302 inf + 94686 1.049 * * [simplify]: Extracting #4: cost 3 inf + 155448 1.073 * * [simplify]: Extracting #5: cost 0 inf + 155765 1.101 * * [simplify]: Extracting #6: cost 0 inf + 155365 1.151 * [simplify]: Simplified to: (expm1 (/ (- 1 (cos x)) (* x x))) (log1p (/ (- 1 (cos x)) (* x x))) (log (/ (- 1 (cos x)) (* x x))) (log (/ (- 1 (cos x)) (* x x))) (log (/ (- 1 (cos x)) (* x x))) (exp (/ (- 1 (cos x)) (* x x))) (* (/ (- 1 (cos x)) (* x x)) (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)))) (* (/ (- 1 (cos x)) (* x x)) (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)))) (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x))) (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (- (- 1 (cos x))) (- (* x x)) (/ 1 (* x x)) (/ (/ (cos x) x) x) (/ (cbrt (- 1 (cos x))) (/ x (cbrt (- 1 (cos x))))) (/ (cbrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x) (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ 1 (* x x)) (/ x (/ (- 1 (cos x)) x)) (/ (- 1 (cos x)) x) (/ (* x x) (cbrt (- 1 (cos x)))) (/ (* x x) (sqrt (- 1 (cos x)))) (/ x (/ (- 1 (cos x)) x)) (* (/ x (- 1 (sqrt (cos x)))) x) (* (/ x (- 1 (sqrt (cos x)))) x) (/ x (/ (- 1 (cos x)) x)) (fma (fma (cos x) (cos x) (cos x)) (* x x) (* x x)) (fma (* x x) (cos x) (* x x)) (real->posit16 (/ (- 1 (cos x)) (* x x))) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (- 1 (cos x)) (fma (cos x) -1 (cos x)) (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1 (cos x))) (log (- 1 (cos x))) (exp (- 1 (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (- 1 (cos x)) (* (- 1 (cos x)) (- 1 (cos x)))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- 1 (* (cos x) (* (cos x) (cos x)))) (+ (cos x) (fma (cos x) (cos x) 1)) (- (cos x)) (* (sin x) (sin x)) (+ (cos x) 1) (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x))) (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (real->posit16 (- 1 (cos x))) (fma -1/24 (* x x) (fma (* 1/720 (* x x)) (* x x) 1/2)) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (fma (* x x) 1/2 (fma (* (* x x) (* (* x x) (* x x))) 1/720 (* (* (* x x) (* x x)) -1/24))) (- 1 (cos x)) (- 1 (cos x)) 1.159 * * * [progress]: adding candidates to table 1.444 * * [progress]: iteration 2 / 4 1.445 * * * [progress]: picking best candidate 1.473 * * * * [pick]: Picked # 1.473 * * * [progress]: localizing error 1.515 * * * [progress]: generating rewritten candidates 1.515 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.550 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.555 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.567 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.595 * * * [progress]: generating series expansions 1.595 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.595 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 1.595 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 1.595 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 1.595 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.595 * [taylor]: Taking taylor expansion of (sin x) in x 1.595 * [taylor]: Taking taylor expansion of x in x 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.597 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.597 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 1.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 1 into 1 1.597 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.597 * [taylor]: Taking taylor expansion of (cos x) in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 1 into 1 1.597 * [taylor]: Taking taylor expansion of 1 in x 1.597 * [backup-simplify]: Simplify 1 into 1 1.598 * [backup-simplify]: Simplify (* 1 1) into 1 1.598 * [backup-simplify]: Simplify (* 1 1) into 1 1.598 * [backup-simplify]: Simplify (+ 1 1) into 2 1.598 * [backup-simplify]: Simplify (* 1 2) into 2 1.599 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.599 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 1.599 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.599 * [taylor]: Taking taylor expansion of (sin x) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.599 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 1.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.599 * [taylor]: Taking taylor expansion of (cos x) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [taylor]: Taking taylor expansion of 1 in x 1.599 * [backup-simplify]: Simplify 1 into 1 1.600 * [backup-simplify]: Simplify (* 1 1) into 1 1.600 * [backup-simplify]: Simplify (* 1 1) into 1 1.600 * [backup-simplify]: Simplify (+ 1 1) into 2 1.600 * [backup-simplify]: Simplify (* 1 2) into 2 1.601 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.601 * [backup-simplify]: Simplify 1/2 into 1/2 1.601 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.602 * [backup-simplify]: Simplify (+ 0) into 0 1.602 * [backup-simplify]: Simplify (+ 0 0) into 0 1.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 1.603 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 1.603 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.605 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.606 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.606 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.607 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 1.608 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 1.608 * [backup-simplify]: Simplify -1/24 into -1/24 1.609 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.610 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.611 * [backup-simplify]: Simplify (+ 0 0) into 0 1.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 1.613 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.615 * [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 1.616 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.618 * [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 1.618 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.620 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 1.621 * [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 1.621 * [backup-simplify]: Simplify 1/720 into 1/720 1.622 * [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))) 1.622 * [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)) 1.622 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 1.622 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 1.622 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 1.622 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.622 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [backup-simplify]: Simplify (/ 1 1) into 1 1.622 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.622 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.623 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.623 * [backup-simplify]: Simplify (/ 1 1) into 1 1.623 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.623 * [taylor]: Taking taylor expansion of 1 in x 1.623 * [backup-simplify]: Simplify 1 into 1 1.623 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.623 * [backup-simplify]: Simplify (* 1 1) into 1 1.623 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 1.623 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.623 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.623 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 1.623 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 1.623 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.624 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (/ 1 1) into 1 1.624 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.624 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (/ 1 1) into 1 1.624 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.624 * [taylor]: Taking taylor expansion of 1 in x 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.625 * [backup-simplify]: Simplify (* 1 1) into 1 1.625 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 1.625 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.625 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.625 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.626 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 1.626 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 1.626 * [backup-simplify]: Simplify (+ 0 0) into 0 1.626 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.627 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 1.628 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.628 * [backup-simplify]: Simplify (+ 0 0) into 0 1.628 * [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 1.629 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.633 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 1.634 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.634 * [backup-simplify]: Simplify (+ 0 0) into 0 1.634 * [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 1.634 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.636 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 1.636 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.637 * [backup-simplify]: Simplify (+ 0 0) into 0 1.637 * [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 1.637 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.639 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 1.640 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.640 * [backup-simplify]: Simplify (+ 0 0) into 0 1.640 * [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 1.640 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.643 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 1.643 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.644 * [backup-simplify]: Simplify (+ 0 0) into 0 1.644 * [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 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [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))) 1.644 * [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)) 1.645 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 1.645 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 1.645 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 1.645 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.645 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.645 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.645 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.645 * [taylor]: Taking taylor expansion of -1 in x 1.645 * [backup-simplify]: Simplify -1 into -1 1.645 * [taylor]: Taking taylor expansion of x in x 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.645 * [backup-simplify]: Simplify (/ -1 1) into -1 1.645 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.645 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.645 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.645 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.645 * [taylor]: Taking taylor expansion of -1 in x 1.645 * [backup-simplify]: Simplify -1 into -1 1.645 * [taylor]: Taking taylor expansion of x in x 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.645 * [backup-simplify]: Simplify (/ -1 1) into -1 1.646 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.646 * [taylor]: Taking taylor expansion of 1 in x 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (* 1 1) into 1 1.646 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.646 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 1.646 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.646 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.646 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 1.646 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 1.646 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.646 * [taylor]: Taking taylor expansion of x in x 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.646 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.646 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.646 * [taylor]: Taking taylor expansion of -1 in x 1.646 * [backup-simplify]: Simplify -1 into -1 1.646 * [taylor]: Taking taylor expansion of x in x 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (/ -1 1) into -1 1.647 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.647 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.647 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.647 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.647 * [taylor]: Taking taylor expansion of -1 in x 1.647 * [backup-simplify]: Simplify -1 into -1 1.647 * [taylor]: Taking taylor expansion of x in x 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (/ -1 1) into -1 1.647 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.647 * [taylor]: Taking taylor expansion of 1 in x 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (* 1 1) into 1 1.648 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.648 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 1.648 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.648 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.648 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.648 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 1.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 1.649 * [backup-simplify]: Simplify (+ 0 0) into 0 1.649 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 1.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 1.652 * [backup-simplify]: Simplify (+ 0 0) into 0 1.652 * [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 1.652 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 1.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 1.656 * [backup-simplify]: Simplify (+ 0 0) into 0 1.657 * [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 1.657 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 1.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 1.661 * [backup-simplify]: Simplify (+ 0 0) into 0 1.662 * [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 1.662 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 1.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 1.667 * [backup-simplify]: Simplify (+ 0 0) into 0 1.668 * [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 1.668 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 1.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 1.675 * [backup-simplify]: Simplify (+ 0 0) into 0 1.675 * [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 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [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))) 1.676 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.676 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 1.676 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 1.676 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.676 * [taylor]: Taking taylor expansion of (cos x) in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 1 into 1 1.676 * [taylor]: Taking taylor expansion of 1 in x 1.676 * [backup-simplify]: Simplify 1 into 1 1.676 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.676 * [taylor]: Taking taylor expansion of (cos x) in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 1 into 1 1.676 * [taylor]: Taking taylor expansion of 1 in x 1.676 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (+ 1 1) into 2 1.677 * [backup-simplify]: Simplify 2 into 2 1.677 * [backup-simplify]: Simplify (+ 0) into 0 1.678 * [backup-simplify]: Simplify (+ 0 0) into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.679 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.679 * [backup-simplify]: Simplify -1/2 into -1/2 1.680 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.681 * [backup-simplify]: Simplify (+ 0 0) into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.684 * [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 1.684 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.684 * [backup-simplify]: Simplify 1/24 into 1/24 1.685 * [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))) 1.685 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 1.685 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 1.685 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.685 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify 1 into 1 1.685 * [backup-simplify]: Simplify (/ 1 1) into 1 1.685 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.686 * [taylor]: Taking taylor expansion of 1 in x 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.686 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (/ 1 1) into 1 1.686 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.686 * [taylor]: Taking taylor expansion of 1 in x 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.686 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.687 * [backup-simplify]: Simplify (+ 0 0) into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify (+ 0 0) into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (+ 0 0) into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (+ 0 0) into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (+ 0 0) into 0 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (+ 0 0) into 0 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 1.689 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 1.689 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 1.689 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.689 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.689 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.689 * [taylor]: Taking taylor expansion of -1 in x 1.689 * [backup-simplify]: Simplify -1 into -1 1.689 * [taylor]: Taking taylor expansion of x in x 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (/ -1 1) into -1 1.690 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.690 * [taylor]: Taking taylor expansion of 1 in x 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.690 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.690 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.690 * [taylor]: Taking taylor expansion of -1 in x 1.690 * [backup-simplify]: Simplify -1 into -1 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (/ -1 1) into -1 1.691 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.691 * [taylor]: Taking taylor expansion of 1 in x 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.691 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.691 * [backup-simplify]: Simplify (+ 0 0) into 0 1.691 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (+ 0 0) into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (+ 0 0) into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 1.694 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.694 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 1.694 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 1.694 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.694 * [taylor]: Taking taylor expansion of (sin x) in x 1.694 * [taylor]: Taking taylor expansion of x in x 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.695 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.695 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.695 * [taylor]: Taking taylor expansion of (sin x) in x 1.695 * [taylor]: Taking taylor expansion of x in x 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.696 * [backup-simplify]: Simplify (* 1 1) into 1 1.696 * [backup-simplify]: Simplify 1 into 1 1.697 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.698 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.700 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.700 * [backup-simplify]: Simplify -1/3 into -1/3 1.702 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.704 * [backup-simplify]: Simplify 0 into 0 1.707 * [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 1.709 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.709 * [backup-simplify]: Simplify 2/45 into 2/45 1.709 * [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))) 1.710 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.710 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 1.710 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.710 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.710 * [taylor]: Taking taylor expansion of x in x 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 1 into 1 1.710 * [backup-simplify]: Simplify (/ 1 1) into 1 1.710 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.710 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.710 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.710 * [taylor]: Taking taylor expansion of x in x 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 1 into 1 1.711 * [backup-simplify]: Simplify (/ 1 1) into 1 1.711 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.711 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.711 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 1.711 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 1.714 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 1.716 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 1.718 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 1.718 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 1.718 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.718 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.718 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.718 * [taylor]: Taking taylor expansion of -1 in x 1.718 * [backup-simplify]: Simplify -1 into -1 1.718 * [taylor]: Taking taylor expansion of x in x 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.719 * [backup-simplify]: Simplify (/ -1 1) into -1 1.719 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.719 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.719 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.719 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.719 * [taylor]: Taking taylor expansion of -1 in x 1.719 * [backup-simplify]: Simplify -1 into -1 1.719 * [taylor]: Taking taylor expansion of x in x 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 1 into 1 1.720 * [backup-simplify]: Simplify (/ -1 1) into -1 1.720 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.720 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.720 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 1.720 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 1.722 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 1.725 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 1.727 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.727 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 1.727 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 1.727 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 1.727 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.727 * [taylor]: Taking taylor expansion of (sin x) in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.728 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.728 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.728 * [taylor]: Taking taylor expansion of (cos x) in x 1.728 * [taylor]: Taking taylor expansion of x in x 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 1 into 1 1.728 * [taylor]: Taking taylor expansion of 1 in x 1.728 * [backup-simplify]: Simplify 1 into 1 1.728 * [backup-simplify]: Simplify (* 1 1) into 1 1.729 * [backup-simplify]: Simplify (+ 1 1) into 2 1.729 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.729 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 1.729 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.729 * [taylor]: Taking taylor expansion of (sin x) in x 1.729 * [taylor]: Taking taylor expansion of x in x 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.730 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.730 * [taylor]: Taking taylor expansion of (cos x) in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [taylor]: Taking taylor expansion of 1 in x 1.730 * [backup-simplify]: Simplify 1 into 1 1.731 * [backup-simplify]: Simplify (* 1 1) into 1 1.731 * [backup-simplify]: Simplify (+ 1 1) into 2 1.732 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.732 * [backup-simplify]: Simplify 1/2 into 1/2 1.733 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.734 * [backup-simplify]: Simplify (+ 0) into 0 1.734 * [backup-simplify]: Simplify (+ 0 0) into 0 1.735 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 1.735 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.738 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.739 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.739 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.741 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 1.741 * [backup-simplify]: Simplify -1/24 into -1/24 1.742 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.745 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.746 * [backup-simplify]: Simplify (+ 0 0) into 0 1.747 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 1.747 * [backup-simplify]: Simplify 0 into 0 1.751 * [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 1.753 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.756 * [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 1.757 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.759 * [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 1.759 * [backup-simplify]: Simplify 1/720 into 1/720 1.759 * [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))) 1.760 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.760 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 1.760 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 1.760 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.760 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.760 * [taylor]: Taking taylor expansion of x in x 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify 1 into 1 1.761 * [backup-simplify]: Simplify (/ 1 1) into 1 1.761 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.761 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.761 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.761 * [taylor]: Taking taylor expansion of x in x 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [backup-simplify]: Simplify (/ 1 1) into 1 1.761 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.761 * [taylor]: Taking taylor expansion of 1 in x 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.762 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.762 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.762 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 1.762 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.762 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.762 * [taylor]: Taking taylor expansion of x in x 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 1 into 1 1.762 * [backup-simplify]: Simplify (/ 1 1) into 1 1.762 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.762 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.762 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.763 * [taylor]: Taking taylor expansion of x in x 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (/ 1 1) into 1 1.763 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.763 * [taylor]: Taking taylor expansion of 1 in x 1.763 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.763 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.763 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.764 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.764 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 1.764 * [backup-simplify]: Simplify (+ 0 0) into 0 1.765 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 1.766 * [backup-simplify]: Simplify (+ 0 0) into 0 1.766 * [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 1.766 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 1.770 * [backup-simplify]: Simplify (+ 0 0) into 0 1.771 * [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 1.771 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 1.772 * [backup-simplify]: Simplify (+ 0 0) into 0 1.772 * [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 1.772 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 1.774 * [backup-simplify]: Simplify (+ 0 0) into 0 1.774 * [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 1.774 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 1.776 * [backup-simplify]: Simplify (+ 0 0) into 0 1.777 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 1.777 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.777 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 1.777 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 1.777 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.777 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.777 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.777 * [taylor]: Taking taylor expansion of -1 in x 1.777 * [backup-simplify]: Simplify -1 into -1 1.777 * [taylor]: Taking taylor expansion of x in x 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.777 * [backup-simplify]: Simplify (/ -1 1) into -1 1.777 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.778 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.778 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.778 * [taylor]: Taking taylor expansion of -1 in x 1.778 * [backup-simplify]: Simplify -1 into -1 1.778 * [taylor]: Taking taylor expansion of x in x 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (/ -1 1) into -1 1.778 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.778 * [taylor]: Taking taylor expansion of 1 in x 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.778 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.778 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.778 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 1.778 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.778 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.778 * [taylor]: Taking taylor expansion of -1 in x 1.778 * [backup-simplify]: Simplify -1 into -1 1.778 * [taylor]: Taking taylor expansion of x in x 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (/ -1 1) into -1 1.779 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.779 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.779 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.779 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.779 * [taylor]: Taking taylor expansion of -1 in x 1.779 * [backup-simplify]: Simplify -1 into -1 1.779 * [taylor]: Taking taylor expansion of x in x 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (/ -1 1) into -1 1.779 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.779 * [taylor]: Taking taylor expansion of 1 in x 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.779 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.780 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.780 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.780 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 1.780 * [backup-simplify]: Simplify (+ 0 0) into 0 1.780 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 1.781 * [backup-simplify]: Simplify (+ 0 0) into 0 1.781 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.781 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 1.782 * [backup-simplify]: Simplify (+ 0 0) into 0 1.782 * [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 1.782 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 1.783 * [backup-simplify]: Simplify (+ 0 0) into 0 1.784 * [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 1.784 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 1.785 * [backup-simplify]: Simplify (+ 0 0) into 0 1.785 * [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 1.785 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 1.787 * [backup-simplify]: Simplify (+ 0 0) into 0 1.787 * [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 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 1.787 * * * [progress]: simplifying candidates 1.787 * * * * [progress]: [ 1 / 138 ] simplifiying candidate # 1.787 * * * * [progress]: [ 2 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 3 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 4 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 5 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 6 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 7 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 8 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 9 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 10 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 11 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 12 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 13 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 14 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 15 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 16 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 17 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 18 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 19 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 20 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 21 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 22 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 23 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 24 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 25 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 26 / 138 ] simplifiying candidate # 1.788 * * * * [progress]: [ 27 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 28 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 29 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 30 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 31 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 32 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 33 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 34 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 35 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 36 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 37 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 38 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 39 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 40 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 41 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 42 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 43 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 44 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 45 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 46 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 47 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 1.789 * * * * [progress]: [ 49 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 50 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 51 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 52 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 53 / 138 ] simplifiying candidate # 1.789 * * * * [progress]: [ 54 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 55 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 56 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 57 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 58 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 59 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 60 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 61 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 62 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 63 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 64 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 1.790 * * * * [progress]: [ 66 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 67 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 68 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 69 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 70 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 71 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 72 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 73 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 74 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 75 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 76 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 77 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 78 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 79 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 80 / 138 ] simplifiying candidate # 1.790 * * * * [progress]: [ 81 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 82 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 83 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 84 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 85 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 86 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 87 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 88 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 89 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 90 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 91 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 92 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 93 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 94 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 1.791 * * * * [progress]: [ 96 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 97 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 98 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 99 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 100 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 101 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 102 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 103 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 104 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 105 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 106 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 107 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 108 / 138 ] simplifiying candidate # 1.791 * * * * [progress]: [ 109 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 110 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 111 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 112 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 113 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 114 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 115 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 116 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 117 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 118 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 119 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 120 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 121 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 122 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 123 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 124 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 125 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 1.792 * * * * [progress]: [ 127 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 128 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 129 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 130 / 138 ] simplifiying candidate # 1.792 * * * * [progress]: [ 131 / 138 ] simplifiying candidate # 1.793 * * * * [progress]: [ 132 / 138 ] simplifiying candidate # 1.793 * * * * [progress]: [ 133 / 138 ] simplifiying candidate # 1.793 * * * * [progress]: [ 134 / 138 ] simplifiying candidate # 1.793 * * * * [progress]: [ 135 / 138 ] simplifiying candidate # 1.793 * * * * [progress]: [ 136 / 138 ] simplifiying candidate # 1.793 * * * * [progress]: [ 137 / 138 ] simplifiying candidate # 1.793 * * * * [progress]: [ 138 / 138 ] simplifiying candidate # 1.794 * [simplify]: Simplifying: (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x))) (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x)) (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x)) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos 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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)) 1.796 * * [simplify]: iteration 0: 190 enodes 1.862 * * [simplify]: iteration 1: 525 enodes 2.132 * * [simplify]: iteration 2: 1777 enodes 2.536 * * [simplify]: iteration 3: 2000 enodes 2.897 * * [simplify]: iteration complete: 2000 enodes 2.898 * * [simplify]: Extracting #0: cost 108 inf + 0 2.901 * * [simplify]: Extracting #1: cost 513 inf + 2 2.906 * * [simplify]: Extracting #2: cost 664 inf + 3435 2.923 * * [simplify]: Extracting #3: cost 374 inf + 58162 2.957 * * [simplify]: Extracting #4: cost 86 inf + 145991 3.000 * * [simplify]: Extracting #5: cost 1 inf + 171989 3.041 * * [simplify]: Extracting #6: cost 0 inf + 171087 3.085 * [simplify]: Simplified to: (expm1 (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log1p (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (log (/ (* (sin x) (sin x)) (fma (* x x) 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(cos x) 1)) (sin x)))) (cbrt (* (/ (sin x) (+ (cos x) 1)) (sin x))) (* (* (/ (sin x) (+ (cos x) 1)) (sin x)) (* (* (/ (sin x) (+ (cos x) 1)) (sin x)) (* (/ (sin x) (+ (cos x) 1)) (sin x)))) (sqrt (* (/ (sin x) (+ (cos x) 1)) (sin x))) (sqrt (* (/ (sin x) (+ (cos x) 1)) (sin x))) (* (sin x) (- (sin x))) (- -1 (cos x)) (/ 1/2 (+ (cos x) 1)) (* (/ 1/2 (+ (cos x) 1)) (cos (+ x x))) (/ (sin x) (* (cbrt (+ (cos x) 1)) (cbrt (+ (cos x) 1)))) (/ (sin x) (cbrt (+ (cos x) 1))) (/ (sin x) (sqrt (+ (cos x) 1))) (/ (sin x) (sqrt (+ (cos x) 1))) (sin x) (tan (/ x 2)) (sin x) (tan (/ x 2)) (/ 1 (+ (cos x) 1)) (/ (+ (cos x) 1) (* (sin x) (sin x))) (* (/ (sin x) (cbrt (+ (cos x) 1))) (/ (sin x) (cbrt (+ (cos x) 1)))) (/ (* (sin x) (sin x)) (sqrt (+ (cos x) 1))) (* (sin x) (sin x)) (* (sin x) (sin x)) (/ (+ (cos x) 1) (sin x)) (* (/ (sin x) (fma (cos x) (* (cos x) (cos x)) 1)) (sin x)) (/ (* (sin x) (sin x)) (* (sin x) (sin x))) (fma 2 (cos x) 2) (real->posit16 (* (/ (sin x) (+ (cos x) 1)) (sin x))) (fma -1/24 (* x x) (fma (* (* x x) (* x x)) 1/720 1/2)) (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) (fma (* x x) -1/2 (fma (* 1/24 (* x x)) (* x x) 2)) (+ (cos x) 1) (+ (cos x) 1) (fma -1/3 (* (* x x) (* x x)) (fma 2/45 (* (* x (* x x)) (* x (* x x))) (* x x))) (* (sin x) (sin x)) (* (sin x) (sin x)) (fma -1/24 (* (* x x) (* x x)) (fma 1/720 (* (* x (* x x)) (* x (* x x))) (* (* x x) 1/2))) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) 3.101 * * * [progress]: adding candidates to table 3.593 * * [progress]: iteration 3 / 4 3.593 * * * [progress]: picking best candidate 3.608 * * * * [pick]: Picked # 3.608 * * * [progress]: localizing error 3.626 * * * [progress]: generating rewritten candidates 3.626 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 3.633 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 3.640 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 3.656 * * * [progress]: generating series expansions 3.657 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 3.657 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 3.657 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 3.657 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 3.657 * [taylor]: Taking taylor expansion of (sin x) in x 3.657 * [taylor]: Taking taylor expansion of x in x 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 1 into 1 3.657 * [taylor]: Taking taylor expansion of x in x 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 1 into 1 3.657 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.658 * [backup-simplify]: Simplify (/ 1 1) into 1 3.658 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 3.658 * [taylor]: Taking taylor expansion of (sin x) in x 3.658 * [taylor]: Taking taylor expansion of x in x 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 1 into 1 3.658 * [taylor]: Taking taylor expansion of x in x 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 1 into 1 3.658 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.658 * [backup-simplify]: Simplify (/ 1 1) into 1 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.660 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.661 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 3.661 * [backup-simplify]: Simplify -1/6 into -1/6 3.662 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 3.663 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 3.666 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 3.666 * [backup-simplify]: Simplify 1/120 into 1/120 3.666 * [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))) 3.666 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 3.666 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 3.666 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 3.666 * [taylor]: Taking taylor expansion of x in x 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 1 into 1 3.666 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.666 * [taylor]: Taking taylor expansion of x in x 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 1 into 1 3.666 * [backup-simplify]: Simplify (/ 1 1) into 1 3.666 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.666 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 3.666 * [taylor]: Taking taylor expansion of x in x 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 1 into 1 3.666 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.666 * [taylor]: Taking taylor expansion of x in x 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 1 into 1 3.667 * [backup-simplify]: Simplify (/ 1 1) into 1 3.667 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.667 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 3.667 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 3.668 * [backup-simplify]: Simplify 0 into 0 3.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 3.673 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 3.674 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 3.675 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 3.677 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 3.679 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 3.679 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 3.679 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 3.679 * [taylor]: Taking taylor expansion of -1 in x 3.679 * [backup-simplify]: Simplify -1 into -1 3.679 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 3.679 * [taylor]: Taking taylor expansion of x in x 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 1 into 1 3.679 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.679 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.679 * [taylor]: Taking taylor expansion of -1 in x 3.679 * [backup-simplify]: Simplify -1 into -1 3.679 * [taylor]: Taking taylor expansion of x in x 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 1 into 1 3.679 * [backup-simplify]: Simplify (/ -1 1) into -1 3.679 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.680 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 3.680 * [taylor]: Taking taylor expansion of -1 in x 3.680 * [backup-simplify]: Simplify -1 into -1 3.680 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 3.680 * [taylor]: Taking taylor expansion of x in x 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 1 into 1 3.680 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.680 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.680 * [taylor]: Taking taylor expansion of -1 in x 3.680 * [backup-simplify]: Simplify -1 into -1 3.680 * [taylor]: Taking taylor expansion of x in x 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 1 into 1 3.680 * [backup-simplify]: Simplify (/ -1 1) into -1 3.680 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.680 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 3.680 * [backup-simplify]: Simplify (* -1 0) into 0 3.680 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 3.681 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 3.681 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 3.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 3.682 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 3.682 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 3.684 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 3.686 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 3.688 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 3.688 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 3.691 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 3.691 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 3.695 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 3.695 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 3.695 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 3.695 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 3.695 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 3.695 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 3.696 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 3.696 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 3.696 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.696 * [taylor]: Taking taylor expansion of 1/2 in x 3.696 * [backup-simplify]: Simplify 1/2 into 1/2 3.696 * [taylor]: Taking taylor expansion of x in x 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 1 into 1 3.697 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.697 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.697 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 3.697 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.697 * [taylor]: Taking taylor expansion of 1/2 in x 3.697 * [backup-simplify]: Simplify 1/2 into 1/2 3.697 * [taylor]: Taking taylor expansion of x in x 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify 1 into 1 3.698 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.698 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.699 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 3.700 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.700 * [taylor]: Taking taylor expansion of x in x 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify 1 into 1 3.700 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.700 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 3.700 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 3.700 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 3.700 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 3.700 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.700 * [taylor]: Taking taylor expansion of 1/2 in x 3.700 * [backup-simplify]: Simplify 1/2 into 1/2 3.700 * [taylor]: Taking taylor expansion of x in x 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify 1 into 1 3.701 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.701 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.701 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 3.701 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.701 * [taylor]: Taking taylor expansion of 1/2 in x 3.701 * [backup-simplify]: Simplify 1/2 into 1/2 3.701 * [taylor]: Taking taylor expansion of x in x 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 1 into 1 3.701 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.702 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.703 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 3.703 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.703 * [taylor]: Taking taylor expansion of x in x 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 1 into 1 3.703 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.704 * [backup-simplify]: Simplify 1/2 into 1/2 3.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.705 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.705 * [backup-simplify]: Simplify (+ 0) into 0 3.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.706 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.708 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 3.708 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 3.709 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 3.710 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 3.710 * [backup-simplify]: Simplify 1/24 into 1/24 3.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.712 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.713 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 3.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 3.715 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.718 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 3.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.720 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 3.721 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 3.722 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 3.722 * [backup-simplify]: Simplify 1/240 into 1/240 3.723 * [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)) 3.723 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 3.723 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 3.723 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 3.723 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 3.723 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.723 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 3.723 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.723 * [taylor]: Taking taylor expansion of 1/2 in x 3.723 * [backup-simplify]: Simplify 1/2 into 1/2 3.723 * [taylor]: Taking taylor expansion of x in x 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.723 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 3.723 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 3.723 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.723 * [taylor]: Taking taylor expansion of 1/2 in x 3.723 * [backup-simplify]: Simplify 1/2 into 1/2 3.723 * [taylor]: Taking taylor expansion of x in x 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.724 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.724 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 3.724 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.724 * [taylor]: Taking taylor expansion of x in x 3.724 * [backup-simplify]: Simplify 0 into 0 3.724 * [backup-simplify]: Simplify 1 into 1 3.724 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 3.724 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 3.724 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.724 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 3.724 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.724 * [taylor]: Taking taylor expansion of 1/2 in x 3.724 * [backup-simplify]: Simplify 1/2 into 1/2 3.724 * [taylor]: Taking taylor expansion of x in x 3.724 * [backup-simplify]: Simplify 0 into 0 3.724 * [backup-simplify]: Simplify 1 into 1 3.724 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.724 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 3.724 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 3.724 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.724 * [taylor]: Taking taylor expansion of 1/2 in x 3.724 * [backup-simplify]: Simplify 1/2 into 1/2 3.724 * [taylor]: Taking taylor expansion of x in x 3.724 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 1 into 1 3.725 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.725 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 3.725 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.725 * [taylor]: Taking taylor expansion of x in x 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 1 into 1 3.725 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 3.726 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.726 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.726 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 3.727 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 3.727 * [backup-simplify]: Simplify 0 into 0 3.727 * [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)))))) into 0 3.728 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.728 * [backup-simplify]: Simplify 0 into 0 3.729 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 3.730 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.730 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 3.732 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.732 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 3.734 * [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 3.734 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 3.736 * [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 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [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)) 3.737 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 3.737 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 3.737 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 3.737 * [taylor]: Taking taylor expansion of -1 in x 3.737 * [backup-simplify]: Simplify -1 into -1 3.737 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 3.737 * [taylor]: Taking taylor expansion of x in x 3.737 * [backup-simplify]: Simplify 0 into 0 3.737 * [backup-simplify]: Simplify 1 into 1 3.737 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 3.737 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.737 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 3.737 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.737 * [taylor]: Taking taylor expansion of -1/2 in x 3.737 * [backup-simplify]: Simplify -1/2 into -1/2 3.737 * [taylor]: Taking taylor expansion of x in x 3.737 * [backup-simplify]: Simplify 0 into 0 3.737 * [backup-simplify]: Simplify 1 into 1 3.738 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.738 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 3.738 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 3.738 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.738 * [taylor]: Taking taylor expansion of -1/2 in x 3.738 * [backup-simplify]: Simplify -1/2 into -1/2 3.738 * [taylor]: Taking taylor expansion of x in x 3.738 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify 1 into 1 3.738 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.738 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 3.739 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.739 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 3.739 * [taylor]: Taking taylor expansion of -1 in x 3.739 * [backup-simplify]: Simplify -1 into -1 3.739 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 3.739 * [taylor]: Taking taylor expansion of x in x 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 3.739 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.739 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 3.739 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.739 * [taylor]: Taking taylor expansion of -1/2 in x 3.739 * [backup-simplify]: Simplify -1/2 into -1/2 3.739 * [taylor]: Taking taylor expansion of x in x 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.740 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.740 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 3.740 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 3.740 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.740 * [taylor]: Taking taylor expansion of -1/2 in x 3.740 * [backup-simplify]: Simplify -1/2 into -1/2 3.740 * [taylor]: Taking taylor expansion of x in x 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 1 into 1 3.740 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.740 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 3.741 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.741 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 3.741 * [backup-simplify]: Simplify (* -1 0) into 0 3.741 * [backup-simplify]: Simplify 0 into 0 3.742 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 3.742 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.743 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 3.743 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 3.743 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 3.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 3.745 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 3.745 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 3.747 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 3.748 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 3.748 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 3.750 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 3.752 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 3.752 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 3.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 3.757 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 3.757 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 3.760 * [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 3.762 * [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 3.762 * [backup-simplify]: Simplify 0 into 0 3.763 * [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 3.766 * [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 3.770 * [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 3.770 * [backup-simplify]: Simplify 0 into 0 3.771 * [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)) 3.771 * * * * [progress]: [ 3 / 3 ] generating series at (2) 3.771 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 3.771 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 3.771 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 3.771 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 3.771 * [taylor]: Taking taylor expansion of (sin x) in x 3.771 * [taylor]: Taking taylor expansion of x in x 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 1 into 1 3.771 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 3.771 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 3.771 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 3.771 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.771 * [taylor]: Taking taylor expansion of 1/2 in x 3.771 * [backup-simplify]: Simplify 1/2 into 1/2 3.771 * [taylor]: Taking taylor expansion of x in x 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 1 into 1 3.772 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.773 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.773 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 3.773 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.773 * [taylor]: Taking taylor expansion of 1/2 in x 3.773 * [backup-simplify]: Simplify 1/2 into 1/2 3.773 * [taylor]: Taking taylor expansion of x in x 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify 1 into 1 3.773 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.774 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.775 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 3.775 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.775 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.775 * [taylor]: Taking taylor expansion of x in x 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify 1 into 1 3.776 * [backup-simplify]: Simplify (* 0 1/2) into 0 3.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.777 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.778 * [backup-simplify]: Simplify (+ 0) into 0 3.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.779 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.780 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 3.780 * [backup-simplify]: Simplify (* 1 1) into 1 3.781 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.781 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 3.781 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 3.781 * [taylor]: Taking taylor expansion of (sin x) in x 3.781 * [taylor]: Taking taylor expansion of x in x 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 3.781 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 3.781 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 3.781 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.781 * [taylor]: Taking taylor expansion of 1/2 in x 3.781 * [backup-simplify]: Simplify 1/2 into 1/2 3.781 * [taylor]: Taking taylor expansion of x in x 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.782 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.788 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.788 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 3.788 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.788 * [taylor]: Taking taylor expansion of 1/2 in x 3.788 * [backup-simplify]: Simplify 1/2 into 1/2 3.788 * [taylor]: Taking taylor expansion of x in x 3.788 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify 1 into 1 3.789 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.789 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.790 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 3.791 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.791 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.791 * [taylor]: Taking taylor expansion of x in x 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify 1 into 1 3.791 * [backup-simplify]: Simplify (* 0 1/2) into 0 3.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.793 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.793 * [backup-simplify]: Simplify (+ 0) into 0 3.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.795 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.796 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 3.796 * [backup-simplify]: Simplify (* 1 1) into 1 3.797 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.797 * [backup-simplify]: Simplify 1/2 into 1/2 3.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.800 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 3.801 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 3.802 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 3.803 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.805 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 3.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.806 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.809 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.812 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 3.815 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.816 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 3.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.819 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 3.819 * [backup-simplify]: Simplify -1/24 into -1/24 3.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.824 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 3.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.827 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 3.828 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 3.829 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.830 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 3.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 3.832 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.835 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.837 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 3.841 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 3.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 3.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.844 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 3.844 * [backup-simplify]: Simplify 1/720 into 1/720 3.844 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 3.844 * [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)))) 3.844 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 3.844 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 3.844 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.844 * [taylor]: Taking taylor expansion of x in x 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 1 into 1 3.844 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 3.844 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 3.844 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.844 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 3.844 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.844 * [taylor]: Taking taylor expansion of 1/2 in x 3.844 * [backup-simplify]: Simplify 1/2 into 1/2 3.844 * [taylor]: Taking taylor expansion of x in x 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 1 into 1 3.845 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.845 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 3.845 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 3.845 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.845 * [taylor]: Taking taylor expansion of 1/2 in x 3.845 * [backup-simplify]: Simplify 1/2 into 1/2 3.845 * [taylor]: Taking taylor expansion of x in x 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 1 into 1 3.845 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.845 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 3.845 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.845 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.845 * [taylor]: Taking taylor expansion of x in x 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 1 into 1 3.846 * [backup-simplify]: Simplify (/ 1 1) into 1 3.846 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.846 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 3.846 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.846 * [taylor]: Taking taylor expansion of x in x 3.846 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify 1 into 1 3.846 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 3.846 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 3.846 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.846 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 3.846 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.846 * [taylor]: Taking taylor expansion of 1/2 in x 3.846 * [backup-simplify]: Simplify 1/2 into 1/2 3.846 * [taylor]: Taking taylor expansion of x in x 3.846 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify 1 into 1 3.846 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.846 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 3.846 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 3.846 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.846 * [taylor]: Taking taylor expansion of 1/2 in x 3.846 * [backup-simplify]: Simplify 1/2 into 1/2 3.846 * [taylor]: Taking taylor expansion of x in x 3.846 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify 1 into 1 3.847 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.847 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 3.847 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.847 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.847 * [taylor]: Taking taylor expansion of x in x 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify 1 into 1 3.847 * [backup-simplify]: Simplify (/ 1 1) into 1 3.847 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.847 * [backup-simplify]: Simplify (* 1 1) into 1 3.847 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3.848 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3.848 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3.848 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 3.848 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 3.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 3.849 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 3.849 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 3.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 3.850 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 3.851 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 3.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 3.854 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 3.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 3.856 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 3.857 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 3.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 3.860 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 3.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 3.863 * [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)))) 3.863 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 3.863 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 3.863 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.863 * [taylor]: Taking taylor expansion of x in x 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 1 into 1 3.863 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 3.863 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 3.863 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.863 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 3.863 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.863 * [taylor]: Taking taylor expansion of -1/2 in x 3.863 * [backup-simplify]: Simplify -1/2 into -1/2 3.863 * [taylor]: Taking taylor expansion of x in x 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.864 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 3.864 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 3.864 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.864 * [taylor]: Taking taylor expansion of -1/2 in x 3.864 * [backup-simplify]: Simplify -1/2 into -1/2 3.864 * [taylor]: Taking taylor expansion of x in x 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.864 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 3.865 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.865 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.865 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.865 * [taylor]: Taking taylor expansion of -1 in x 3.865 * [backup-simplify]: Simplify -1 into -1 3.865 * [taylor]: Taking taylor expansion of x in x 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 1 into 1 3.865 * [backup-simplify]: Simplify (/ -1 1) into -1 3.865 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.865 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 3.865 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.865 * [taylor]: Taking taylor expansion of x in x 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 1 into 1 3.865 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 3.865 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 3.865 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.865 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 3.865 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.865 * [taylor]: Taking taylor expansion of -1/2 in x 3.865 * [backup-simplify]: Simplify -1/2 into -1/2 3.865 * [taylor]: Taking taylor expansion of x in x 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 1 into 1 3.866 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.866 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 3.866 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 3.866 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.866 * [taylor]: Taking taylor expansion of -1/2 in x 3.866 * [backup-simplify]: Simplify -1/2 into -1/2 3.866 * [taylor]: Taking taylor expansion of x in x 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.866 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.866 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 3.866 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3.866 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.866 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.866 * [taylor]: Taking taylor expansion of -1 in x 3.866 * [backup-simplify]: Simplify -1 into -1 3.866 * [taylor]: Taking taylor expansion of x in x 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.866 * [backup-simplify]: Simplify (/ -1 1) into -1 3.867 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.867 * [backup-simplify]: Simplify (* 1 1) into 1 3.867 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3.867 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3.867 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3.867 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 3.867 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 3.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 3.869 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 3.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 3.870 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 3.872 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 3.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 3.874 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 3.876 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 3.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 3.882 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 3.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 3.884 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 3.886 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 3.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 3.889 * * * [progress]: simplifying candidates 3.889 * * * * [progress]: [ 1 / 123 ] simplifiying candidate # 3.889 * * * * [progress]: [ 2 / 123 ] simplifiying candidate # 3.889 * * * * [progress]: [ 3 / 123 ] simplifiying candidate # 3.889 * * * * [progress]: [ 4 / 123 ] simplifiying candidate # 3.889 * * * * [progress]: [ 5 / 123 ] simplifiying candidate # 3.889 * * * * [progress]: [ 6 / 123 ] simplifiying candidate # 3.889 * * * * [progress]: [ 7 / 123 ] simplifiying candidate # 3.889 * * * * [progress]: [ 8 / 123 ] simplifiying candidate # 3.889 * * * * [progress]: [ 9 / 123 ] simplifiying candidate # 3.889 * * * * [progress]: [ 10 / 123 ] simplifiying candidate # 3.889 * * * * [progress]: [ 11 / 123 ] simplifiying candidate # 3.889 * * * * [progress]: [ 12 / 123 ] simplifiying candidate # 3.889 * * * * [progress]: [ 13 / 123 ] simplifiying candidate # 3.889 * * * * [progress]: [ 14 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 15 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 16 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 17 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 18 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 19 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 20 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 21 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 22 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 23 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 24 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 25 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 26 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 27 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 28 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 29 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 30 / 123 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))> 3.890 * * * * [progress]: [ 31 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 32 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 33 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 34 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 35 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 36 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 37 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 38 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 39 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 40 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 41 / 123 ] simplifiying candidate # 3.890 * * * * [progress]: [ 42 / 123 ] simplifiying candidate # 3.891 * * * * [progress]: [ 43 / 123 ] simplifiying candidate # 3.891 * * * * [progress]: [ 44 / 123 ] simplifiying candidate # 3.891 * * * * [progress]: [ 45 / 123 ] simplifiying candidate # 3.891 * * * * [progress]: [ 46 / 123 ] simplifiying candidate # 3.891 * * * * [progress]: [ 47 / 123 ] simplifiying candidate # 3.891 * * * * [progress]: [ 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[progress]: [ 63 / 123 ] simplifiying candidate # 3.891 * * * * [progress]: [ 64 / 123 ] simplifiying candidate # 3.891 * * * * [progress]: [ 65 / 123 ] simplifiying candidate # 3.891 * * * * [progress]: [ 66 / 123 ] simplifiying candidate # 3.891 * * * * [progress]: [ 67 / 123 ] simplifiying candidate # 3.891 * * * * [progress]: [ 68 / 123 ] simplifiying candidate # 3.891 * * * * [progress]: [ 69 / 123 ] simplifiying candidate # 3.891 * * * * [progress]: [ 70 / 123 ] simplifiying candidate # 3.892 * * * * [progress]: [ 71 / 123 ] simplifiying candidate # 3.892 * * * * [progress]: [ 72 / 123 ] simplifiying candidate # 3.892 * * * * [progress]: [ 73 / 123 ] simplifiying candidate # 3.892 * * * * [progress]: [ 74 / 123 ] simplifiying candidate # 3.892 * * * * [progress]: [ 75 / 123 ] simplifiying candidate # 3.892 * * * * [progress]: [ 76 / 123 ] simplifiying candidate # 3.892 * * * * [progress]: [ 77 / 123 ] simplifiying candidate # 3.892 * * * * [progress]: [ 78 / 123 ] simplifiying 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candidate # 3.893 * * * * [progress]: [ 110 / 123 ] simplifiying candidate # 3.893 * * * * [progress]: [ 111 / 123 ] simplifiying candidate # 3.893 * * * * [progress]: [ 112 / 123 ] simplifiying candidate # 3.893 * * * * [progress]: [ 113 / 123 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))> 3.893 * * * * [progress]: [ 114 / 123 ] simplifiying candidate # 3.893 * * * * [progress]: [ 115 / 123 ] simplifiying candidate # 3.893 * * * * [progress]: [ 116 / 123 ] simplifiying candidate # 3.893 * * * * [progress]: [ 117 / 123 ] simplifiying candidate # 3.893 * * * * [progress]: [ 118 / 123 ] simplifiying candidate # 3.893 * * * * [progress]: [ 119 / 123 ] simplifiying candidate # 3.893 * * * * [progress]: [ 120 / 123 ] simplifiying candidate # 3.893 * * * * [progress]: [ 121 / 123 ] simplifiying candidate # 3.893 * * * * [progress]: [ 122 / 123 ] simplifiying candidate # 3.893 * * * * [progress]: [ 123 / 123 ] simplifiying candidate # 3.899 * [simplify]: Simplifying: (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (- (log (sin x)) (log x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) (/ 1 1) (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (/ (sin x) 1) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (- (log (tan (/ x 2))) (log x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (/ (cbrt (tan (/ x 2))) (sqrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1) (/ (cbrt (tan (/ x 2))) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) 1) (/ (sqrt (tan (/ x 2))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) (/ 1 1) (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (sqrt x)) (/ (tan (/ x 2)) 1) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* x (cos (/ x 2))) (real->posit16 (/ (tan (/ x 2)) x)) (expm1 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log1p (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (+ (- (log (sin x)) (log x)) (- (log (tan (/ x 2))) (log x))) (+ (- (log (sin x)) (log x)) (log (/ (tan (/ x 2)) x))) (+ (log (/ (sin x) x)) (- (log (tan (/ x 2))) (log x))) (+ (log (/ (sin x) x)) (log (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (sin x) (tan (/ x 2))) (* x x) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))) (* (/ (sin x) x) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) 1)) (* (/ (sin x) x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ 1 (sqrt x))) (* (/ (sin x) x) (/ 1 1)) (* (/ (sin x) x) 1) (* (/ (sin x) x) (tan (/ x 2))) (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ 1 x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (tan (/ x 2))) (* (sin x) (/ (tan (/ x 2)) x)) (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) 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)) (- (+ (* 1/720 (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))) 3.901 * * [simplify]: iteration 0: 172 enodes 3.961 * * [simplify]: iteration 1: 453 enodes 4.198 * * [simplify]: iteration 2: 1573 enodes 4.594 * * [simplify]: iteration 3: 2001 enodes 4.968 * * [simplify]: iteration complete: 2001 enodes 4.968 * * [simplify]: Extracting #0: cost 109 inf + 0 4.971 * * [simplify]: Extracting #1: cost 576 inf + 1 4.976 * * [simplify]: Extracting #2: cost 752 inf + 1177 4.989 * * [simplify]: Extracting #3: cost 538 inf + 48941 5.016 * * [simplify]: Extracting #4: cost 107 inf + 182364 5.069 * * [simplify]: Extracting #5: cost 2 inf + 220360 5.130 * * [simplify]: Extracting #6: cost 0 inf + 221019 5.193 * [simplify]: Simplified to: (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (log (/ (sin x) x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (* (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (* (/ (cbrt (sin x)) (sqrt x)) (cbrt (sin x))) (/ (cbrt (sin x)) (sqrt x)) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) x) (/ (/ (sqrt (sin x)) (cbrt x)) (cbrt x)) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (sqrt (sin x)) (/ (sqrt (sin x)) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) 1 (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (sin x) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (/ (cbrt (tan (/ x 2))) (sqrt x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (cbrt (tan (/ x 2))) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (tan (/ x 2))) (/ (sqrt (tan (/ x 2))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) 1 (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (sqrt x)) (tan (/ x 2)) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* x (cos (/ x 2))) (real->posit16 (/ (tan (/ x 2)) x)) (expm1 (/ (sin x) (/ x (/ (tan (/ x 2)) x)))) (log1p (/ (sin x) (/ x (/ (tan (/ x 2)) x)))) (/ (sin x) (/ x (/ (tan (/ x 2)) x))) (log (/ (sin x) (/ 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) (* (* (/ (sin x) x) (/ (sin x) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) 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) (* (* (/ (sin x) x) (/ (sin x) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) 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 (/ (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)))) (* (tan (/ x 2)) (sin x)) (* x x) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (sin x) x))) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (sin x) x))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (/ (sin x) x))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (/ (sin x) x))) (/ (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (sin x))) (sqrt x)) (/ (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (sin x))) (sqrt 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) (/ (cbrt (tan (/ x 2))) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x))) 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))))) (/ (* (/ (sin x) x) (sqrt (tan (/ x 2)))) (* (cbrt x) (cbrt x))) (/ (* (sqrt (tan (/ x 2))) (/ (sin x) x)) (sqrt x)) (* (/ (sin x) x) (sqrt (tan (/ x 2)))) (/ (/ (sin x) (* (cbrt x) (cbrt x))) x) (/ (/ (sin x) (sqrt x)) x) (/ (sin x) x) (/ (sin x) x) (* (sin x) (/ (tan (/ x 2)) x)) (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (sqrt (/ (sin x) x))) (/ (* (cbrt (sin x)) (/ (tan (/ x 2)) x)) (cbrt x)) (/ (* (/ (tan (/ x 2)) x) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (/ x (/ (tan (/ x 2)) 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))) (/ (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)))) (fma (* x x) -1/6 (fma (* (* x x) (* x x)) 1/120 1)) (/ (sin x) x) (/ (sin x) x) (fma (* x x) 1/24 (fma 1/240 (* (* x x) (* x x)) 1/2)) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (fma -1/24 (* x x) (fma 1/720 (* (* x x) (* x x)) 1/2)) (/ (* (/ (sin (* 1/2 x)) x) (/ (sin x) x)) (cos (* 1/2 x))) (/ (* (/ (sin (* 1/2 x)) x) (/ (sin x) x)) (cos (* 1/2 x))) 5.204 * * * [progress]: adding candidates to table 5.724 * * [progress]: iteration 4 / 4 5.724 * * * [progress]: picking best candidate 5.733 * * * * [pick]: Picked # 5.733 * * * [progress]: localizing error 5.766 * * * [progress]: generating rewritten candidates 5.766 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.791 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 5.807 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 5.814 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 5.884 * * * [progress]: generating series expansions 5.884 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.884 * [backup-simplify]: Simplify (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 5.884 * [approximate]: Taking taylor expansion of (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) in (x) around 0 5.884 * [taylor]: Taking taylor expansion of (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) in x 5.884 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.884 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.884 * [taylor]: Taking taylor expansion of 1/2 in x 5.884 * [backup-simplify]: Simplify 1/2 into 1/2 5.884 * [taylor]: Taking taylor expansion of x in x 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 1 into 1 5.885 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.885 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.885 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 x)) x) in x 5.885 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.885 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.885 * [taylor]: Taking taylor expansion of 1/2 in x 5.885 * [backup-simplify]: Simplify 1/2 into 1/2 5.886 * [taylor]: Taking taylor expansion of x in x 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 1 into 1 5.886 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.886 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.886 * [taylor]: Taking taylor expansion of x in x 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 1 into 1 5.887 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.887 * [backup-simplify]: Simplify (* 1 0) into 0 5.887 * [backup-simplify]: Simplify (+ 0) into 0 5.888 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 5.888 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.888 * [taylor]: Taking taylor expansion of (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) in x 5.888 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.888 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.888 * [taylor]: Taking taylor expansion of 1/2 in x 5.888 * [backup-simplify]: Simplify 1/2 into 1/2 5.888 * [taylor]: Taking taylor expansion of x in x 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify 1 into 1 5.888 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.889 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.889 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 x)) x) in x 5.889 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.889 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.889 * [taylor]: Taking taylor expansion of 1/2 in x 5.889 * [backup-simplify]: Simplify 1/2 into 1/2 5.889 * [taylor]: Taking taylor expansion of x in x 5.889 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify 1 into 1 5.889 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.890 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.890 * [taylor]: Taking taylor expansion of x in x 5.890 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify 1 into 1 5.890 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.890 * [backup-simplify]: Simplify (* 1 0) into 0 5.891 * [backup-simplify]: Simplify (+ 0) into 0 5.891 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 5.891 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.891 * [backup-simplify]: Simplify 1/2 into 1/2 5.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.893 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.893 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 5.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* -1/8 0))) into 0 5.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.894 * [backup-simplify]: Simplify 0 into 0 5.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.896 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 5.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.897 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 1) (* 0 0)))) into -1/8 5.899 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 5.899 * [backup-simplify]: Simplify 1/24 into 1/24 5.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.901 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.903 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 5.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 1) (* 1/384 0))))) into 0 5.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 5.905 * [backup-simplify]: Simplify 0 into 0 5.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.908 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 5.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.910 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (+ (* 1/384 1) (* 0 0)))))) into 1/384 5.912 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 5.912 * [backup-simplify]: Simplify 1/240 into 1/240 5.912 * [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)) 5.913 * [backup-simplify]: Simplify (/ (sin (* 1/2 (/ 1 x))) (* (cos (* 1/2 (/ 1 x))) (/ 1 x))) into (/ (* x (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5.913 * [approximate]: Taking taylor expansion of (/ (* x (sin (/ 1/2 x))) (cos (/ 1/2 x))) in (x) around 0 5.913 * [taylor]: Taking taylor expansion of (/ (* x (sin (/ 1/2 x))) (cos (/ 1/2 x))) in x 5.913 * [taylor]: Taking taylor expansion of (* x (sin (/ 1/2 x))) in x 5.913 * [taylor]: Taking taylor expansion of x in x 5.913 * [backup-simplify]: Simplify 0 into 0 5.913 * [backup-simplify]: Simplify 1 into 1 5.913 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.913 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.913 * [taylor]: Taking taylor expansion of 1/2 in x 5.913 * [backup-simplify]: Simplify 1/2 into 1/2 5.913 * [taylor]: Taking taylor expansion of x in x 5.913 * [backup-simplify]: Simplify 0 into 0 5.913 * [backup-simplify]: Simplify 1 into 1 5.913 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.913 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.913 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.913 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.913 * [taylor]: Taking taylor expansion of 1/2 in x 5.913 * [backup-simplify]: Simplify 1/2 into 1/2 5.913 * [taylor]: Taking taylor expansion of x in x 5.913 * [backup-simplify]: Simplify 0 into 0 5.913 * [backup-simplify]: Simplify 1 into 1 5.914 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.914 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.914 * [backup-simplify]: Simplify (* 0 (sin (/ 1/2 x))) into 0 5.914 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1/2 x)))) into (sin (/ 1/2 x)) 5.914 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.914 * [taylor]: Taking taylor expansion of (/ (* x (sin (/ 1/2 x))) (cos (/ 1/2 x))) in x 5.914 * [taylor]: Taking taylor expansion of (* x (sin (/ 1/2 x))) in x 5.914 * [taylor]: Taking taylor expansion of x in x 5.914 * [backup-simplify]: Simplify 0 into 0 5.914 * [backup-simplify]: Simplify 1 into 1 5.914 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.914 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.914 * [taylor]: Taking taylor expansion of 1/2 in x 5.914 * [backup-simplify]: Simplify 1/2 into 1/2 5.914 * [taylor]: Taking taylor expansion of x in x 5.914 * [backup-simplify]: Simplify 0 into 0 5.914 * [backup-simplify]: Simplify 1 into 1 5.915 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.915 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.915 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.915 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.915 * [taylor]: Taking taylor expansion of 1/2 in x 5.915 * [backup-simplify]: Simplify 1/2 into 1/2 5.915 * [taylor]: Taking taylor expansion of x in x 5.915 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify 1 into 1 5.915 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.915 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.915 * [backup-simplify]: Simplify (* 0 (sin (/ 1/2 x))) into 0 5.915 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1/2 x)))) into (sin (/ 1/2 x)) 5.915 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.916 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1/2 x))))) into 0 5.916 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 5.916 * [backup-simplify]: Simplify 0 into 0 5.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x)))))) into 0 5.917 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.917 * [backup-simplify]: Simplify 0 into 0 5.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x))))))) into 0 5.919 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.919 * [backup-simplify]: Simplify 0 into 0 5.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x)))))))) into 0 5.920 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.920 * [backup-simplify]: Simplify 0 into 0 5.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x))))))))) into 0 5.922 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.922 * [backup-simplify]: Simplify 0 into 0 5.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x)))))))))) into 0 5.924 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.924 * [backup-simplify]: Simplify 0 into 0 5.924 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 5.924 * [backup-simplify]: Simplify (/ (sin (* 1/2 (/ 1 (- x)))) (* (cos (* 1/2 (/ 1 (- x)))) (/ 1 (- x)))) into (* -1 (/ (* x (sin (/ -1/2 x))) (cos (/ -1/2 x)))) 5.924 * [approximate]: Taking taylor expansion of (* -1 (/ (* x (sin (/ -1/2 x))) (cos (/ -1/2 x)))) in (x) around 0 5.924 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (sin (/ -1/2 x))) (cos (/ -1/2 x)))) in x 5.924 * [taylor]: Taking taylor expansion of -1 in x 5.924 * [backup-simplify]: Simplify -1 into -1 5.924 * [taylor]: Taking taylor expansion of (/ (* x (sin (/ -1/2 x))) (cos (/ -1/2 x))) in x 5.924 * [taylor]: Taking taylor expansion of (* x (sin (/ -1/2 x))) in x 5.924 * [taylor]: Taking taylor expansion of x in x 5.924 * [backup-simplify]: Simplify 0 into 0 5.924 * [backup-simplify]: Simplify 1 into 1 5.924 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.924 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.924 * [taylor]: Taking taylor expansion of -1/2 in x 5.924 * [backup-simplify]: Simplify -1/2 into -1/2 5.924 * [taylor]: Taking taylor expansion of x in x 5.924 * [backup-simplify]: Simplify 0 into 0 5.924 * [backup-simplify]: Simplify 1 into 1 5.925 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.925 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.925 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.925 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.925 * [taylor]: Taking taylor expansion of -1/2 in x 5.925 * [backup-simplify]: Simplify -1/2 into -1/2 5.925 * [taylor]: Taking taylor expansion of x in x 5.925 * [backup-simplify]: Simplify 0 into 0 5.925 * [backup-simplify]: Simplify 1 into 1 5.925 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.925 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.925 * [backup-simplify]: Simplify (* 0 (sin (/ -1/2 x))) into 0 5.925 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1/2 x)))) into (sin (/ -1/2 x)) 5.925 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.925 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (sin (/ -1/2 x))) (cos (/ -1/2 x)))) in x 5.925 * [taylor]: Taking taylor expansion of -1 in x 5.925 * [backup-simplify]: Simplify -1 into -1 5.926 * [taylor]: Taking taylor expansion of (/ (* x (sin (/ -1/2 x))) (cos (/ -1/2 x))) in x 5.926 * [taylor]: Taking taylor expansion of (* x (sin (/ -1/2 x))) in x 5.926 * [taylor]: Taking taylor expansion of x in x 5.926 * [backup-simplify]: Simplify 0 into 0 5.926 * [backup-simplify]: Simplify 1 into 1 5.926 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.926 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.926 * [taylor]: Taking taylor expansion of -1/2 in x 5.926 * [backup-simplify]: Simplify -1/2 into -1/2 5.926 * [taylor]: Taking taylor expansion of x in x 5.926 * [backup-simplify]: Simplify 0 into 0 5.926 * [backup-simplify]: Simplify 1 into 1 5.926 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.926 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.926 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.926 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.926 * [taylor]: Taking taylor expansion of -1/2 in x 5.926 * [backup-simplify]: Simplify -1/2 into -1/2 5.926 * [taylor]: Taking taylor expansion of x in x 5.926 * [backup-simplify]: Simplify 0 into 0 5.926 * [backup-simplify]: Simplify 1 into 1 5.926 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.926 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.926 * [backup-simplify]: Simplify (* 0 (sin (/ -1/2 x))) into 0 5.927 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1/2 x)))) into (sin (/ -1/2 x)) 5.927 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.927 * [backup-simplify]: Simplify (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 5.927 * [backup-simplify]: Simplify (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 5.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1/2 x))))) into 0 5.928 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 5.928 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0 5.928 * [backup-simplify]: Simplify 0 into 0 5.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x)))))) into 0 5.929 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.930 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 5.930 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x))))))) into 0 5.931 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.932 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 5.932 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x)))))))) into 0 5.937 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.939 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 5.939 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x))))))))) into 0 5.941 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.943 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 5.943 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x)))))))))) into 0 5.946 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.949 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 5.949 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify (* (* -1 (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 5.949 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 5.949 * [backup-simplify]: Simplify (* (cos (* 1/2 x)) x) into (* (cos (* 1/2 x)) x) 5.949 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 x)) x) in (x) around 0 5.949 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 x)) x) in x 5.949 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.949 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.949 * [taylor]: Taking taylor expansion of 1/2 in x 5.949 * [backup-simplify]: Simplify 1/2 into 1/2 5.949 * [taylor]: Taking taylor expansion of x in x 5.949 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify 1 into 1 5.950 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.951 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.951 * [taylor]: Taking taylor expansion of x in x 5.951 * [backup-simplify]: Simplify 0 into 0 5.951 * [backup-simplify]: Simplify 1 into 1 5.951 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 x)) x) in x 5.951 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.951 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.951 * [taylor]: Taking taylor expansion of 1/2 in x 5.951 * [backup-simplify]: Simplify 1/2 into 1/2 5.951 * [taylor]: Taking taylor expansion of x in x 5.951 * [backup-simplify]: Simplify 0 into 0 5.951 * [backup-simplify]: Simplify 1 into 1 5.951 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.952 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.952 * [taylor]: Taking taylor expansion of x in x 5.952 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify 1 into 1 5.952 * [backup-simplify]: Simplify (* 1 0) into 0 5.952 * [backup-simplify]: Simplify 0 into 0 5.953 * [backup-simplify]: Simplify (+ 0) into 0 5.953 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 5.953 * [backup-simplify]: Simplify 1 into 1 5.954 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 5.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* -1/8 0))) into 0 5.955 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.957 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 1) (* 0 0)))) into -1/8 5.958 * [backup-simplify]: Simplify -1/8 into -1/8 5.960 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.962 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 5.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 1) (* 1/384 0))))) into 0 5.964 * [backup-simplify]: Simplify 0 into 0 5.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.968 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (+ (* 1/384 1) (* 0 0)))))) into 1/384 5.970 * [backup-simplify]: Simplify 1/384 into 1/384 5.970 * [backup-simplify]: Simplify (+ (* 1/384 (pow x 5)) (+ (* -1/8 (pow x 3)) (* 1 x))) into (- (+ x (* 1/384 (pow x 5))) (* 1/8 (pow x 3))) 5.970 * [backup-simplify]: Simplify (* (cos (* 1/2 (/ 1 x))) (/ 1 x)) into (/ (cos (/ 1/2 x)) x) 5.970 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 x)) x) in (x) around 0 5.970 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 x)) x) in x 5.970 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.970 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.971 * [taylor]: Taking taylor expansion of 1/2 in x 5.971 * [backup-simplify]: Simplify 1/2 into 1/2 5.971 * [taylor]: Taking taylor expansion of x in x 5.971 * [backup-simplify]: Simplify 0 into 0 5.971 * [backup-simplify]: Simplify 1 into 1 5.971 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.971 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.971 * [taylor]: Taking taylor expansion of x in x 5.971 * [backup-simplify]: Simplify 0 into 0 5.971 * [backup-simplify]: Simplify 1 into 1 5.971 * [backup-simplify]: Simplify (/ (cos (/ 1/2 x)) 1) into (cos (/ 1/2 x)) 5.971 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 x)) x) in x 5.971 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.971 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.971 * [taylor]: Taking taylor expansion of 1/2 in x 5.972 * [backup-simplify]: Simplify 1/2 into 1/2 5.972 * [taylor]: Taking taylor expansion of x in x 5.972 * [backup-simplify]: Simplify 0 into 0 5.972 * [backup-simplify]: Simplify 1 into 1 5.972 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.972 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.972 * [taylor]: Taking taylor expansion of x in x 5.972 * [backup-simplify]: Simplify 0 into 0 5.972 * [backup-simplify]: Simplify 1 into 1 5.972 * [backup-simplify]: Simplify (/ (cos (/ 1/2 x)) 1) into (cos (/ 1/2 x)) 5.972 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 x)) (/ 0 1)))) into 0 5.973 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.975 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.977 * [backup-simplify]: Simplify 0 into 0 5.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.979 * [backup-simplify]: Simplify 0 into 0 5.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.982 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 x))) (/ 1 (/ 1 x))) into (* (cos (* 1/2 x)) x) 5.986 * [backup-simplify]: Simplify (* (cos (* 1/2 (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (/ (cos (/ -1/2 x)) x)) 5.986 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 x)) x)) in (x) around 0 5.986 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 x)) x)) in x 5.987 * [taylor]: Taking taylor expansion of -1 in x 5.987 * [backup-simplify]: Simplify -1 into -1 5.987 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 x)) x) in x 5.987 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.987 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.987 * [taylor]: Taking taylor expansion of -1/2 in x 5.987 * [backup-simplify]: Simplify -1/2 into -1/2 5.987 * [taylor]: Taking taylor expansion of x in x 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.987 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.987 * [taylor]: Taking taylor expansion of x in x 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [backup-simplify]: Simplify (/ (cos (/ -1/2 x)) 1) into (cos (/ -1/2 x)) 5.987 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 x)) x)) in x 5.987 * [taylor]: Taking taylor expansion of -1 in x 5.988 * [backup-simplify]: Simplify -1 into -1 5.988 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 x)) x) in x 5.988 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.988 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.988 * [taylor]: Taking taylor expansion of -1/2 in x 5.988 * [backup-simplify]: Simplify -1/2 into -1/2 5.988 * [taylor]: Taking taylor expansion of x in x 5.988 * [backup-simplify]: Simplify 0 into 0 5.988 * [backup-simplify]: Simplify 1 into 1 5.988 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.988 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.988 * [taylor]: Taking taylor expansion of x in x 5.988 * [backup-simplify]: Simplify 0 into 0 5.988 * [backup-simplify]: Simplify 1 into 1 5.988 * [backup-simplify]: Simplify (/ (cos (/ -1/2 x)) 1) into (cos (/ -1/2 x)) 5.989 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 x))) into (* -1 (cos (/ -1/2 x))) 5.989 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 x))) into (* -1 (cos (/ -1/2 x))) 5.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 x)) (/ 0 1)))) into 0 5.990 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 x)))) into 0 5.990 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.993 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 x))))) into 0 5.993 * [backup-simplify]: Simplify 0 into 0 5.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.997 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 x)))))) into 0 5.997 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.001 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 x))))))) into 0 6.001 * [backup-simplify]: Simplify 0 into 0 6.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.007 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 x)))))))) into 0 6.007 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.012 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 x))))))))) into 0 6.012 * [backup-simplify]: Simplify 0 into 0 6.013 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- x))))) (/ 1 (/ 1 (- x)))) into (* (cos (* 1/2 x)) x) 6.013 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 6.013 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 6.013 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 6.013 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 6.013 * [taylor]: Taking taylor expansion of (sin x) in x 6.013 * [taylor]: Taking taylor expansion of x in x 6.013 * [backup-simplify]: Simplify 0 into 0 6.013 * [backup-simplify]: Simplify 1 into 1 6.013 * [taylor]: Taking taylor expansion of x in x 6.013 * [backup-simplify]: Simplify 0 into 0 6.013 * [backup-simplify]: Simplify 1 into 1 6.014 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.014 * [backup-simplify]: Simplify (/ 1 1) into 1 6.014 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 6.014 * [taylor]: Taking taylor expansion of (sin x) in x 6.014 * [taylor]: Taking taylor expansion of x in x 6.014 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify 1 into 1 6.014 * [taylor]: Taking taylor expansion of x in x 6.014 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify 1 into 1 6.015 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.015 * [backup-simplify]: Simplify (/ 1 1) into 1 6.016 * [backup-simplify]: Simplify 1 into 1 6.016 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.017 * [backup-simplify]: Simplify 0 into 0 6.019 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 6.020 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 6.020 * [backup-simplify]: Simplify -1/6 into -1/6 6.022 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 6.024 * [backup-simplify]: Simplify 0 into 0 6.028 * [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 6.029 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 6.029 * [backup-simplify]: Simplify 1/120 into 1/120 6.030 * [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))) 6.030 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 6.030 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 6.030 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 6.030 * [taylor]: Taking taylor expansion of x in x 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify 1 into 1 6.030 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 6.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.030 * [taylor]: Taking taylor expansion of x in x 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify 1 into 1 6.031 * [backup-simplify]: Simplify (/ 1 1) into 1 6.031 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 6.031 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 6.031 * [taylor]: Taking taylor expansion of x in x 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.031 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 6.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.031 * [taylor]: Taking taylor expansion of x in x 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.031 * [backup-simplify]: Simplify (/ 1 1) into 1 6.031 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 6.032 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 6.032 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 6.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 6.033 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 6.034 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 6.036 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 6.038 * [backup-simplify]: Simplify 0 into 0 6.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 6.040 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 6.043 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 6.043 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 6.043 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 6.043 * [taylor]: Taking taylor expansion of -1 in x 6.043 * [backup-simplify]: Simplify -1 into -1 6.043 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 6.043 * [taylor]: Taking taylor expansion of x in x 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.043 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 6.043 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.043 * [taylor]: Taking taylor expansion of -1 in x 6.043 * [backup-simplify]: Simplify -1 into -1 6.043 * [taylor]: Taking taylor expansion of x in x 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.043 * [backup-simplify]: Simplify (/ -1 1) into -1 6.043 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 6.043 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 6.043 * [taylor]: Taking taylor expansion of -1 in x 6.043 * [backup-simplify]: Simplify -1 into -1 6.043 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 6.043 * [taylor]: Taking taylor expansion of x in x 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.043 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 6.043 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.043 * [taylor]: Taking taylor expansion of -1 in x 6.043 * [backup-simplify]: Simplify -1 into -1 6.043 * [taylor]: Taking taylor expansion of x in x 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.044 * [backup-simplify]: Simplify (/ -1 1) into -1 6.044 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 6.044 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 6.044 * [backup-simplify]: Simplify (* -1 0) into 0 6.044 * [backup-simplify]: Simplify 0 into 0 6.044 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 6.045 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 6.045 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 6.045 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 6.046 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 6.046 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 6.047 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 6.047 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 6.049 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 6.049 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 6.052 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 6.052 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 6.054 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 6.054 * [backup-simplify]: Simplify 0 into 0 6.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 6.058 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 6.058 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.058 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))) into (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) 6.058 * [approximate]: Taking taylor expansion of (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) in (x) around 0 6.058 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) in x 6.058 * [taylor]: Taking taylor expansion of (* (sin x) (sin (* 1/2 x))) in x 6.058 * [taylor]: Taking taylor expansion of (sin x) in x 6.058 * [taylor]: Taking taylor expansion of x in x 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 1 into 1 6.058 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 6.058 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.058 * [taylor]: Taking taylor expansion of 1/2 in x 6.058 * [backup-simplify]: Simplify 1/2 into 1/2 6.058 * [taylor]: Taking taylor expansion of x in x 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 1 into 1 6.059 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.059 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.059 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (* 1/2 x))) in x 6.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.059 * [taylor]: Taking taylor expansion of x in x 6.059 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify 1 into 1 6.059 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 6.059 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.059 * [taylor]: Taking taylor expansion of 1/2 in x 6.059 * [backup-simplify]: Simplify 1/2 into 1/2 6.059 * [taylor]: Taking taylor expansion of x in x 6.059 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify 1 into 1 6.060 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.060 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.060 * [backup-simplify]: Simplify (* 0 0) into 0 6.061 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 6.061 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.062 * [backup-simplify]: Simplify (+ (* 0 1/2) (* 1 0)) into 0 6.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.066 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.067 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.067 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/2) (* 0 0))) into 1/2 6.068 * [backup-simplify]: Simplify (* 1 1) into 1 6.068 * [backup-simplify]: Simplify (* 1 1) into 1 6.068 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.068 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) in x 6.068 * [taylor]: Taking taylor expansion of (* (sin x) (sin (* 1/2 x))) in x 6.068 * [taylor]: Taking taylor expansion of (sin x) in x 6.068 * [taylor]: Taking taylor expansion of x in x 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify 1 into 1 6.068 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 6.068 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.068 * [taylor]: Taking taylor expansion of 1/2 in x 6.068 * [backup-simplify]: Simplify 1/2 into 1/2 6.068 * [taylor]: Taking taylor expansion of x in x 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify 1 into 1 6.069 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.069 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.069 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (* 1/2 x))) in x 6.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.069 * [taylor]: Taking taylor expansion of x in x 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify 1 into 1 6.069 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 6.069 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.069 * [taylor]: Taking taylor expansion of 1/2 in x 6.069 * [backup-simplify]: Simplify 1/2 into 1/2 6.069 * [taylor]: Taking taylor expansion of x in x 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify 1 into 1 6.069 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.070 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.070 * [backup-simplify]: Simplify (* 0 0) into 0 6.071 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 6.072 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.072 * [backup-simplify]: Simplify (+ (* 0 1/2) (* 1 0)) into 0 6.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.074 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.075 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/2) (* 0 0))) into 1/2 6.076 * [backup-simplify]: Simplify (* 1 1) into 1 6.077 * [backup-simplify]: Simplify (* 1 1) into 1 6.077 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.077 * [backup-simplify]: Simplify 1/2 into 1/2 6.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.080 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 6.082 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 6.083 * [backup-simplify]: Simplify (+ (* 0 -1/48) (+ (* 1 0) (+ (* 0 1/2) (* -1/6 0)))) into 0 6.084 * [backup-simplify]: Simplify (+ 0) into 0 6.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.086 * [backup-simplify]: Simplify 0 into 0 6.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.089 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.090 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 -1/48) (+ (* 0 0) (+ (* -1/6 1/2) (* 0 0))))) into -5/48 6.093 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 6.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.094 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* 0 1))) into -1/8 6.095 * [backup-simplify]: Simplify (- (/ -5/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into -1/24 6.095 * [backup-simplify]: Simplify -1/24 into -1/24 6.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.098 * [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 6.100 * [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 6.102 * [backup-simplify]: Simplify (+ (* 0 1/3840) (+ (* 1 0) (+ (* 0 -1/48) (+ (* -1/6 0) (+ (* 0 1/2) (* 1/120 0)))))) into 0 6.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.103 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 1)))) into 0 6.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/24 (/ 0 1)))) into 0 6.105 * [backup-simplify]: Simplify 0 into 0 6.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.109 * [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 6.112 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 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 6.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/3840) (+ (* 0 0) (+ (* -1/6 -1/48) (+ (* 0 0) (+ (* 1/120 1/2) (* 0 0))))))) into 91/11520 6.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.115 * [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 6.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.117 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 1))))) into 1/384 6.119 * [backup-simplify]: Simplify (- (/ 91/11520 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* -1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/720 6.119 * [backup-simplify]: Simplify 1/720 into 1/720 6.119 * [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))) 6.120 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (sin (* 1/2 (/ 1 x))) (* (cos (* 1/2 (/ 1 x))) (/ 1 x)))) into (/ (* (pow x 2) (* (sin (/ 1 x)) (sin (/ 1/2 x)))) (cos (/ 1/2 x))) 6.120 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (* (sin (/ 1 x)) (sin (/ 1/2 x)))) (cos (/ 1/2 x))) in (x) around 0 6.120 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (* (sin (/ 1 x)) (sin (/ 1/2 x)))) (cos (/ 1/2 x))) in x 6.120 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (sin (/ 1 x)) (sin (/ 1/2 x)))) in x 6.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.120 * [taylor]: Taking taylor expansion of x in x 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 1 into 1 6.120 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1/2 x))) in x 6.120 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 6.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.120 * [taylor]: Taking taylor expansion of x in x 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 1 into 1 6.121 * [backup-simplify]: Simplify (/ 1 1) into 1 6.121 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 6.121 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 6.121 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.121 * [taylor]: Taking taylor expansion of 1/2 in x 6.121 * [backup-simplify]: Simplify 1/2 into 1/2 6.121 * [taylor]: Taking taylor expansion of x in x 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify 1 into 1 6.121 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.121 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 6.121 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 6.121 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.121 * [taylor]: Taking taylor expansion of 1/2 in x 6.121 * [backup-simplify]: Simplify 1/2 into 1/2 6.121 * [taylor]: Taking taylor expansion of x in x 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify 1 into 1 6.122 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.122 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 6.122 * [backup-simplify]: Simplify (* 1 1) into 1 6.122 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1/2 x))) into (* (sin (/ 1 x)) (sin (/ 1/2 x))) 6.123 * [backup-simplify]: Simplify (* 1 (* (sin (/ 1 x)) (sin (/ 1/2 x)))) into (* (sin (/ 1 x)) (sin (/ 1/2 x))) 6.123 * [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))) 6.123 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (* (sin (/ 1 x)) (sin (/ 1/2 x)))) (cos (/ 1/2 x))) in x 6.123 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (sin (/ 1 x)) (sin (/ 1/2 x)))) in x 6.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.123 * [taylor]: Taking taylor expansion of x in x 6.123 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify 1 into 1 6.123 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1/2 x))) in x 6.123 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 6.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.123 * [taylor]: Taking taylor expansion of x in x 6.123 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify 1 into 1 6.123 * [backup-simplify]: Simplify (/ 1 1) into 1 6.124 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 6.124 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 6.124 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.124 * [taylor]: Taking taylor expansion of 1/2 in x 6.124 * [backup-simplify]: Simplify 1/2 into 1/2 6.124 * [taylor]: Taking taylor expansion of x in x 6.124 * [backup-simplify]: Simplify 0 into 0 6.124 * [backup-simplify]: Simplify 1 into 1 6.124 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.124 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 6.124 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 6.124 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.124 * [taylor]: Taking taylor expansion of 1/2 in x 6.124 * [backup-simplify]: Simplify 1/2 into 1/2 6.124 * [taylor]: Taking taylor expansion of x in x 6.124 * [backup-simplify]: Simplify 0 into 0 6.124 * [backup-simplify]: Simplify 1 into 1 6.125 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.125 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 6.125 * [backup-simplify]: Simplify (* 1 1) into 1 6.125 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1/2 x))) into (* (sin (/ 1 x)) (sin (/ 1/2 x))) 6.125 * [backup-simplify]: Simplify (* 1 (* (sin (/ 1 x)) (sin (/ 1/2 x)))) into (* (sin (/ 1 x)) (sin (/ 1/2 x))) 6.126 * [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))) 6.126 * [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))) 6.126 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1/2 x)))) into 0 6.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (sin (/ 1 x)) (sin (/ 1/2 x))))) into 0 6.128 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 6.128 * [backup-simplify]: Simplify 0 into 0 6.128 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x))))) into 0 6.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sin (/ 1/2 x)))))) into 0 6.130 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 6.130 * [backup-simplify]: Simplify 0 into 0 6.131 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x)))))) into 0 6.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sin (/ 1/2 x))))))) into 0 6.134 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (* (sin (/ 1 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 6.134 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x))))))) into 0 6.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sin (/ 1/2 x)))))))) into 0 6.139 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (* (sin (/ 1 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 6.139 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x)))))))) into 0 6.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sin (/ 1/2 x))))))))) into 0 6.145 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (* (sin (/ 1 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 6.145 * [backup-simplify]: Simplify 0 into 0 6.147 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 x))))))))) into 0 6.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sin (/ 1/2 x)))))))))) into 0 6.152 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (* (sin (/ 1 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 6.152 * [backup-simplify]: Simplify 0 into 0 6.152 * [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))) 6.153 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (sin (* 1/2 (/ 1 (- x)))) (* (cos (* 1/2 (/ 1 (- x)))) (/ 1 (- x))))) into (/ (* (pow x 2) (* (sin (/ -1 x)) (sin (/ -1/2 x)))) (cos (/ -1/2 x))) 6.153 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (* (sin (/ -1 x)) (sin (/ -1/2 x)))) (cos (/ -1/2 x))) in (x) around 0 6.153 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (* (sin (/ -1 x)) (sin (/ -1/2 x)))) (cos (/ -1/2 x))) in x 6.153 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (sin (/ -1 x)) (sin (/ -1/2 x)))) in x 6.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.153 * [taylor]: Taking taylor expansion of x in x 6.153 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify 1 into 1 6.153 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (sin (/ -1/2 x))) in x 6.153 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 6.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.153 * [taylor]: Taking taylor expansion of -1 in x 6.153 * [backup-simplify]: Simplify -1 into -1 6.153 * [taylor]: Taking taylor expansion of x in x 6.153 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify 1 into 1 6.153 * [backup-simplify]: Simplify (/ -1 1) into -1 6.154 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 6.154 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 6.154 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.154 * [taylor]: Taking taylor expansion of -1/2 in x 6.154 * [backup-simplify]: Simplify -1/2 into -1/2 6.154 * [taylor]: Taking taylor expansion of x in x 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify 1 into 1 6.154 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.154 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 6.154 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 6.154 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.154 * [taylor]: Taking taylor expansion of -1/2 in x 6.154 * [backup-simplify]: Simplify -1/2 into -1/2 6.154 * [taylor]: Taking taylor expansion of x in x 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify 1 into 1 6.155 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.155 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 6.155 * [backup-simplify]: Simplify (* 1 1) into 1 6.155 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1/2 x))) into (* (sin (/ -1 x)) (sin (/ -1/2 x))) 6.156 * [backup-simplify]: Simplify (* 1 (* (sin (/ -1 x)) (sin (/ -1/2 x)))) into (* (sin (/ -1 x)) (sin (/ -1/2 x))) 6.156 * [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))) 6.156 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (* (sin (/ -1 x)) (sin (/ -1/2 x)))) (cos (/ -1/2 x))) in x 6.156 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (sin (/ -1 x)) (sin (/ -1/2 x)))) in x 6.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.156 * [taylor]: Taking taylor expansion of x in x 6.156 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify 1 into 1 6.156 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (sin (/ -1/2 x))) in x 6.156 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 6.156 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.156 * [taylor]: Taking taylor expansion of -1 in x 6.156 * [backup-simplify]: Simplify -1 into -1 6.156 * [taylor]: Taking taylor expansion of x in x 6.156 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify 1 into 1 6.156 * [backup-simplify]: Simplify (/ -1 1) into -1 6.157 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 6.157 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 6.157 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.157 * [taylor]: Taking taylor expansion of -1/2 in x 6.157 * [backup-simplify]: Simplify -1/2 into -1/2 6.157 * [taylor]: Taking taylor expansion of x in x 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify 1 into 1 6.157 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.157 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 6.157 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 6.157 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.157 * [taylor]: Taking taylor expansion of -1/2 in x 6.157 * [backup-simplify]: Simplify -1/2 into -1/2 6.157 * [taylor]: Taking taylor expansion of x in x 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify 1 into 1 6.158 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.158 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 6.159 * [backup-simplify]: Simplify (* 1 1) into 1 6.159 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1/2 x))) into (* (sin (/ -1 x)) (sin (/ -1/2 x))) 6.159 * [backup-simplify]: Simplify (* 1 (* (sin (/ -1 x)) (sin (/ -1/2 x)))) into (* (sin (/ -1 x)) (sin (/ -1/2 x))) 6.159 * [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))) 6.159 * [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))) 6.160 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1/2 x)))) into 0 6.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (sin (/ -1 x)) (sin (/ -1/2 x))))) into 0 6.161 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 6.161 * [backup-simplify]: Simplify 0 into 0 6.162 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x))))) into 0 6.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (sin (/ -1 x)) (sin (/ -1/2 x)))))) into 0 6.164 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.164 * [backup-simplify]: Simplify 0 into 0 6.165 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x)))))) into 0 6.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ -1 x)) (sin (/ -1/2 x))))))) into 0 6.168 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (* (sin (/ -1 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 6.168 * [backup-simplify]: Simplify 0 into 0 6.169 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x))))))) into 0 6.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ -1 x)) (sin (/ -1/2 x)))))))) into 0 6.172 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (* (sin (/ -1 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 6.172 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x)))))))) into 0 6.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ -1 x)) (sin (/ -1/2 x))))))))) into 0 6.179 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (* (sin (/ -1 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 6.179 * [backup-simplify]: Simplify 0 into 0 6.181 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 x))))))))) into 0 6.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ -1 x)) (sin (/ -1/2 x)))))))))) into 0 6.186 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (* (sin (/ -1 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 6.186 * [backup-simplify]: Simplify 0 into 0 6.186 * [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))) 6.186 * * * [progress]: simplifying candidates 6.186 * * * * [progress]: [ 1 / 136 ] simplifiying candidate # 6.186 * * * * [progress]: [ 2 / 136 ] simplifiying candidate # 6.186 * * * * [progress]: [ 3 / 136 ] simplifiying candidate # 6.186 * * * * [progress]: [ 4 / 136 ] simplifiying candidate # 6.186 * * * * [progress]: [ 5 / 136 ] simplifiying candidate # 6.187 * * * * [progress]: [ 6 / 136 ] simplifiying candidate # 6.187 * * * * [progress]: [ 7 / 136 ] simplifiying candidate # 6.187 * * * * [progress]: [ 8 / 136 ] simplifiying candidate # 6.187 * * * * [progress]: [ 9 / 136 ] simplifiying candidate # 6.187 * * * * [progress]: [ 10 / 136 ] simplifiying candidate # 6.187 * * * * [progress]: [ 11 / 136 ] simplifiying candidate # 6.187 * * * * [progress]: [ 12 / 136 ] simplifiying candidate # 6.187 * * * * [progress]: [ 13 / 136 ] simplifiying candidate # 6.187 * * * * [progress]: [ 14 / 136 ] simplifiying candidate # 6.187 * * * * [progress]: [ 15 / 136 ] simplifiying candidate # 6.187 * * * * [progress]: [ 16 / 136 ] simplifiying candidate # 6.187 * * * * [progress]: [ 17 / 136 ] simplifiying candidate # 6.187 * * * * [progress]: [ 18 / 136 ] simplifiying candidate # 6.187 * * * * [progress]: [ 19 / 136 ] simplifiying candidate # 6.187 * * * * [progress]: [ 20 / 136 ] simplifiying candidate # 6.188 * * * * [progress]: [ 21 / 136 ] simplifiying candidate # 6.188 * * * * [progress]: [ 22 / 136 ] simplifiying candidate # 6.188 * * * * [progress]: [ 23 / 136 ] simplifiying candidate # 6.188 * * * * [progress]: [ 24 / 136 ] simplifiying candidate #real (real->posit16 (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))))))> 6.188 * * * * [progress]: [ 25 / 136 ] simplifiying candidate # 6.188 * * * * [progress]: [ 26 / 136 ] simplifiying candidate # 6.188 * * * * [progress]: [ 27 / 136 ] simplifiying candidate # 6.188 * * * * [progress]: [ 28 / 136 ] simplifiying candidate # 6.188 * * * * [progress]: [ 29 / 136 ] simplifiying candidate # 6.188 * * * * [progress]: [ 30 / 136 ] simplifiying candidate # 6.188 * * * * [progress]: [ 31 / 136 ] simplifiying candidate # 6.188 * * * * [progress]: [ 32 / 136 ] simplifiying candidate # 6.188 * * * * [progress]: [ 33 / 136 ] simplifiying candidate # 6.188 * * * * [progress]: [ 34 / 136 ] simplifiying candidate # 6.188 * * * * [progress]: [ 35 / 136 ] simplifiying candidate # 6.188 * * * * [progress]: [ 36 / 136 ] simplifiying candidate # 6.189 * * * * [progress]: [ 37 / 136 ] simplifiying candidate # 6.189 * * * * [progress]: [ 38 / 136 ] simplifiying candidate # 6.189 * * * * [progress]: [ 39 / 136 ] simplifiying candidate # 6.189 * * * * [progress]: [ 40 / 136 ] simplifiying candidate # 6.189 * * * * [progress]: [ 41 / 136 ] simplifiying candidate # 6.189 * * * * [progress]: [ 42 / 136 ] simplifiying candidate # 6.189 * * * * [progress]: [ 43 / 136 ] simplifiying candidate # 6.189 * * * * [progress]: [ 44 / 136 ] simplifiying candidate #real (real->posit16 (* (cos (* 1/2 x)) x))))))> 6.189 * * * * [progress]: [ 45 / 136 ] simplifiying candidate # 6.189 * * * * [progress]: [ 46 / 136 ] simplifiying candidate # 6.189 * * * * [progress]: [ 47 / 136 ] simplifiying candidate # 6.189 * * * * [progress]: [ 48 / 136 ] simplifiying candidate # 6.189 * * * * [progress]: [ 49 / 136 ] simplifiying candidate # 6.189 * * * * [progress]: [ 50 / 136 ] simplifiying candidate # 6.189 * * * * [progress]: [ 51 / 136 ] simplifiying candidate # 6.189 * * * * [progress]: [ 52 / 136 ] simplifiying candidate # 6.190 * * * * [progress]: [ 53 / 136 ] simplifiying candidate # 6.190 * * * * [progress]: [ 54 / 136 ] simplifiying candidate # 6.190 * * * * [progress]: [ 55 / 136 ] simplifiying candidate # 6.190 * * * * [progress]: [ 56 / 136 ] simplifiying candidate # 6.190 * * * * [progress]: [ 57 / 136 ] simplifiying candidate # 6.190 * * * * [progress]: [ 58 / 136 ] simplifiying candidate # 6.190 * * * * [progress]: [ 59 / 136 ] simplifiying candidate # 6.190 * * * * [progress]: [ 60 / 136 ] simplifiying candidate # 6.190 * * * * [progress]: [ 61 / 136 ] simplifiying candidate # 6.190 * * * * [progress]: [ 62 / 136 ] simplifiying candidate # 6.190 * * * * [progress]: [ 63 / 136 ] simplifiying candidate # 6.190 * * * * [progress]: [ 64 / 136 ] simplifiying candidate # 6.190 * * * * [progress]: [ 65 / 136 ] simplifiying candidate # 6.190 * * * * [progress]: [ 66 / 136 ] simplifiying candidate # 6.190 * * * * [progress]: [ 67 / 136 ] simplifiying candidate # 6.190 * * * * [progress]: [ 68 / 136 ] simplifiying candidate # 6.191 * * * * [progress]: [ 69 / 136 ] simplifiying candidate # 6.191 * * * * [progress]: [ 70 / 136 ] simplifiying candidate # 6.191 * * * * [progress]: [ 71 / 136 ] simplifiying candidate # 6.191 * * * * [progress]: [ 72 / 136 ] simplifiying candidate # 6.191 * * * * [progress]: [ 73 / 136 ] simplifiying candidate # 6.191 * * * * [progress]: [ 74 / 136 ] simplifiying candidate # 6.191 * * * * [progress]: [ 75 / 136 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))))> 6.191 * * * * [progress]: [ 76 / 136 ] simplifiying candidate # 6.191 * * * * [progress]: [ 77 / 136 ] simplifiying candidate # 6.191 * * * * [progress]: [ 78 / 136 ] simplifiying candidate # 6.191 * * * * [progress]: [ 79 / 136 ] simplifiying candidate # 6.191 * * * * [progress]: [ 80 / 136 ] simplifiying candidate # 6.191 * * * * [progress]: [ 81 / 136 ] simplifiying candidate # 6.191 * * * * [progress]: [ 82 / 136 ] simplifiying candidate # 6.191 * * * * [progress]: [ 83 / 136 ] simplifiying candidate # 6.191 * * * * [progress]: [ 84 / 136 ] simplifiying candidate # 6.192 * * * * [progress]: [ 85 / 136 ] simplifiying candidate # 6.192 * * * * [progress]: [ 86 / 136 ] simplifiying candidate # 6.192 * * * * [progress]: [ 87 / 136 ] simplifiying candidate # 6.192 * * * * [progress]: [ 88 / 136 ] simplifiying candidate # 6.192 * * * * [progress]: [ 89 / 136 ] simplifiying candidate # 6.192 * * * * [progress]: [ 90 / 136 ] simplifiying candidate # 6.192 * * * * [progress]: [ 91 / 136 ] simplifiying candidate # 6.192 * * * * [progress]: [ 92 / 136 ] simplifiying candidate # 6.192 * * * * [progress]: [ 93 / 136 ] simplifiying candidate # 6.192 * * * * [progress]: [ 94 / 136 ] simplifiying candidate # 6.192 * * * * [progress]: [ 95 / 136 ] simplifiying candidate # 6.192 * * * * [progress]: [ 96 / 136 ] simplifiying candidate # 6.192 * * * * [progress]: [ 97 / 136 ] simplifiying candidate # 6.192 * * * * [progress]: [ 98 / 136 ] simplifiying candidate # 6.192 * * * * [progress]: [ 99 / 136 ] simplifiying candidate # 6.193 * * * * [progress]: [ 100 / 136 ] simplifiying candidate # 6.193 * * * * [progress]: [ 101 / 136 ] simplifiying candidate # 6.193 * * * * [progress]: [ 102 / 136 ] simplifiying candidate # 6.193 * * * * [progress]: [ 103 / 136 ] simplifiying candidate # 6.193 * * * * [progress]: [ 104 / 136 ] simplifiying candidate # 6.193 * * * * [progress]: [ 105 / 136 ] simplifiying candidate # 6.193 * * * * [progress]: [ 106 / 136 ] simplifiying candidate # 6.193 * * * * [progress]: [ 107 / 136 ] simplifiying candidate # 6.193 * * * * [progress]: [ 108 / 136 ] simplifiying candidate # 6.193 * * * * [progress]: [ 109 / 136 ] simplifiying candidate # 6.193 * * * * [progress]: [ 110 / 136 ] simplifiying candidate # 6.193 * * * * [progress]: [ 111 / 136 ] simplifiying candidate # 6.193 * * * * [progress]: [ 112 / 136 ] simplifiying candidate # 6.193 * * * * [progress]: [ 113 / 136 ] simplifiying candidate # 6.193 * * * * [progress]: [ 114 / 136 ] simplifiying candidate # 6.194 * * * * [progress]: [ 115 / 136 ] simplifiying candidate # 6.194 * * * * [progress]: [ 116 / 136 ] simplifiying candidate # 6.194 * * * * [progress]: [ 117 / 136 ] simplifiying candidate # 6.194 * * * * [progress]: [ 118 / 136 ] simplifiying candidate # 6.194 * * * * [progress]: [ 119 / 136 ] simplifiying candidate # 6.194 * * * * [progress]: [ 120 / 136 ] simplifiying candidate # 6.194 * * * * [progress]: [ 121 / 136 ] simplifiying candidate # 6.194 * * * * [progress]: [ 122 / 136 ] simplifiying candidate # 6.194 * * * * [progress]: [ 123 / 136 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x))))))> 6.194 * * * * [progress]: [ 124 / 136 ] simplifiying candidate # 6.194 * * * * [progress]: [ 125 / 136 ] simplifiying candidate # 6.194 * * * * [progress]: [ 126 / 136 ] simplifiying candidate # 6.194 * * * * [progress]: [ 127 / 136 ] simplifiying candidate # 6.194 * * * * [progress]: [ 128 / 136 ] simplifiying candidate # 6.194 * * * * [progress]: [ 129 / 136 ] simplifiying candidate # 6.194 * * * * [progress]: [ 130 / 136 ] simplifiying candidate # 6.194 * * * * [progress]: [ 131 / 136 ] simplifiying candidate # 6.195 * * * * [progress]: [ 132 / 136 ] simplifiying candidate # 6.195 * * * * [progress]: [ 133 / 136 ] simplifiying candidate # 6.195 * * * * [progress]: [ 134 / 136 ] simplifiying candidate # 6.195 * * * * [progress]: [ 135 / 136 ] simplifiying candidate # 6.195 * * * * [progress]: [ 136 / 136 ] simplifiying candidate # 6.202 * [simplify]: Simplifying: (expm1 (/ (sin (* 1/2 x)) (* (cos (* 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1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 6.207 * * [simplify]: iteration 0: 192 enodes 6.275 * * [simplify]: iteration 1: 491 enodes 6.481 * * [simplify]: iteration 2: 1895 enodes 6.930 * * [simplify]: iteration 3: 2005 enodes 7.323 * * [simplify]: iteration complete: 2005 enodes 7.324 * * [simplify]: Extracting #0: cost 113 inf + 0 7.326 * * [simplify]: Extracting #1: cost 614 inf + 1 7.332 * * [simplify]: Extracting #2: cost 742 inf + 1546 7.344 * * [simplify]: Extracting #3: cost 551 inf + 36799 7.384 * * [simplify]: Extracting #4: cost 157 inf + 164435 7.448 * * [simplify]: Extracting #5: cost 6 inf + 222854 7.490 * * [simplify]: Extracting #6: cost 0 inf + 224127 7.562 * [simplify]: Simplified to: (expm1 (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))) (log1p (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))) (log (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))) (log (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))) (log (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))) (exp (/ (sin (* 1/2 x)) (* x (cos (* 1/2 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(* 1/2 x))) (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) (real->posit16 (/ (/ (sin x) x) (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))))) (fma 1/24 (* x x) (fma 1/240 (* (* x x) (* x x)) 1/2)) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (fma (* x (* x x)) -1/8 (fma 1/384 (pow x 5) x)) (* x (cos (* 1/2 x))) (* x (cos (* 1/2 x))) (fma -1/6 (* x x) (fma 1/120 (* (* x x) (* x x)) 1)) (/ (sin x) x) (/ (sin x) x) (fma (* x x) -1/24 (fma (* (* x x) (* x x)) 1/720 1/2)) (* (/ (sin x) (* x (* x (cos (* 1/2 x))))) (sin (* 1/2 x))) (* (/ (sin x) (* x (* x (cos (* 1/2 x))))) (sin (* 1/2 x))) 7.574 * * * [progress]: adding candidates to table 8.154 * [progress]: [Phase 3 of 3] Extracting. 8.154 * * [regime]: Finding splitpoints for: (# # # # #) 8.155 * * * [regime-changes]: Trying 1 branch expressions: (x) 8.156 * * * * [regimes]: Trying to branch on x from (# # # # #) 8.183 * * * [regime]: Found split indices: #