16.798 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.124 * * * [progress]: [2/2] Setting up program. 0.126 * [progress]: [Phase 2 of 3] Improving. 0.126 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.127 * [simplify]: Simplifying: (/ (- 1 (cos x)) (* x x)) 0.127 * * [simplify]: iteration 0: 6 enodes 0.128 * * [simplify]: iteration 1: 15 enodes 0.133 * * [simplify]: iteration 2: 23 enodes 0.136 * * [simplify]: iteration 3: 28 enodes 0.140 * * [simplify]: iteration 4: 30 enodes 0.143 * * [simplify]: iteration complete: 30 enodes 0.143 * * [simplify]: Extracting #0: cost 1 inf + 0 0.143 * * [simplify]: Extracting #1: cost 8 inf + 0 0.143 * * [simplify]: Extracting #2: cost 12 inf + 42 0.143 * * [simplify]: Extracting #3: cost 7 inf + 447 0.144 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.144 * [simplify]: Simplified to: (/ (- 1 (cos x)) (* x x)) 0.146 * * [progress]: iteration 1 / 4 0.146 * * * [progress]: picking best candidate 0.148 * * * * [pick]: Picked # 0.148 * * * [progress]: localizing error 0.159 * * * [progress]: generating rewritten candidates 0.159 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.176 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.191 * * * [progress]: generating series expansions 0.191 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.195 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2)) 0.195 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0 0.196 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.196 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.196 * [taylor]: Taking taylor expansion of 1 in x 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of (cos x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (- 1) into -1 0.198 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.199 * [backup-simplify]: Simplify (+ 0) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.200 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.201 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.201 * [backup-simplify]: Simplify (* 1 1) into 1 0.201 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.201 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.201 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.201 * [taylor]: Taking taylor expansion of 1 in x 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [taylor]: Taking taylor expansion of (cos x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (- 1) into -1 0.202 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.202 * [backup-simplify]: Simplify (+ 0) into 0 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.203 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.204 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.204 * [backup-simplify]: Simplify (* 1 1) into 1 0.204 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.205 * [backup-simplify]: Simplify 1/2 into 1/2 0.206 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 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 0.209 * [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 0.209 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.209 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.210 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.210 * [backup-simplify]: Simplify -1/24 into -1/24 0.212 * [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 0.212 * [backup-simplify]: Simplify (- 0) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.217 * [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 0.217 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.217 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.219 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.219 * [backup-simplify]: Simplify 1/720 into 1/720 0.220 * [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))) 0.220 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.220 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 0.220 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.220 * [taylor]: Taking taylor expansion of 1 in x 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.221 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.221 * [taylor]: Taking taylor expansion of 1 in x 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.222 * [backup-simplify]: Simplify (* 1 1) into 1 0.222 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.222 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.222 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.222 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.238 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.238 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.238 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.238 * [taylor]: Taking taylor expansion of 1 in x 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.238 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.238 * [taylor]: Taking taylor expansion of -1 in x 0.238 * [backup-simplify]: Simplify -1 into -1 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (/ -1 1) into -1 0.239 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.239 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.239 * [taylor]: Taking taylor expansion of 1 in x 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.239 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.239 * [taylor]: Taking taylor expansion of -1 in x 0.239 * [backup-simplify]: Simplify -1 into -1 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ -1 1) into -1 0.240 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.240 * [backup-simplify]: Simplify (* 1 1) into 1 0.240 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.240 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.240 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.241 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.241 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (- 0) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.261 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.261 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.261 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.261 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.261 * [taylor]: Taking taylor expansion of 1 in x 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [taylor]: Taking taylor expansion of (cos x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.261 * [taylor]: Taking taylor expansion of 1 in x 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [taylor]: Taking taylor expansion of (cos x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (- 1) into -1 0.262 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (+ 0) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.265 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.265 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.265 * [backup-simplify]: Simplify 1/2 into 1/2 0.267 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.271 * [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 0.271 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.272 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.272 * [backup-simplify]: Simplify -1/24 into -1/24 0.274 * [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 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.281 * [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 0.282 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.283 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.283 * [backup-simplify]: Simplify 1/720 into 1/720 0.283 * [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))) 0.283 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.283 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.283 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.283 * [taylor]: Taking taylor expansion of 1 in x 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.284 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.284 * [taylor]: Taking taylor expansion of 1 in x 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.285 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.285 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.285 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.289 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.289 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.289 * [taylor]: Taking taylor expansion of 1 in x 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.289 * [taylor]: Taking taylor expansion of -1 in x 0.289 * [backup-simplify]: Simplify -1 into -1 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (/ -1 1) into -1 0.289 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.289 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.289 * [taylor]: Taking taylor expansion of 1 in x 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.289 * [taylor]: Taking taylor expansion of -1 in x 0.289 * [backup-simplify]: Simplify -1 into -1 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ -1 1) into -1 0.290 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.290 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.290 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.290 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.293 * * * [progress]: simplifying candidates 0.293 * * * * [progress]: [ 1 / 69 ] simplifiying candidate # 0.293 * * * * [progress]: [ 2 / 69 ] simplifiying candidate # 0.293 * * * * [progress]: [ 3 / 69 ] simplifiying candidate # 0.293 * * * * [progress]: [ 4 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 5 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 6 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 7 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 8 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 9 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 10 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 11 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 12 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 13 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 14 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 15 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 16 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 17 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 18 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 19 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 20 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 21 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 22 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 23 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 24 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 25 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 26 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 27 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 28 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 29 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 30 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 31 / 69 ] simplifiying candidate # 0.294 * * * * [progress]: [ 32 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.295 * * * * [progress]: [ 34 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 35 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 36 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 37 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 38 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 39 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 40 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 41 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 42 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 43 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 44 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 45 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 46 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 47 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 48 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 49 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 50 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 51 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 52 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 53 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 54 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 55 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 56 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 57 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 58 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 59 / 69 ] simplifiying candidate # 0.295 * * * * [progress]: [ 60 / 69 ] simplifiying candidate # 0.296 * * * * [progress]: [ 61 / 69 ] simplifiying candidate # 0.296 * * * * [progress]: [ 62 / 69 ] simplifiying candidate # 0.296 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.296 * * * * [progress]: [ 64 / 69 ] simplifiying candidate # 0.296 * * * * [progress]: [ 65 / 69 ] simplifiying candidate # 0.296 * * * * [progress]: [ 66 / 69 ] simplifiying candidate # 0.296 * * * * [progress]: [ 67 / 69 ] simplifiying candidate # 0.296 * * * * [progress]: [ 68 / 69 ] simplifiying candidate # 0.296 * * * * [progress]: [ 69 / 69 ] simplifiying candidate # 0.301 * [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)) 0.302 * * [simplify]: iteration 0: 121 enodes 0.339 * * [simplify]: iteration 1: 295 enodes 0.478 * * [simplify]: iteration 2: 867 enodes 0.624 * * [simplify]: iteration 3: 2048 enodes 0.988 * * [simplify]: iteration complete: 2048 enodes 0.988 * * [simplify]: Extracting #0: cost 48 inf + 0 0.989 * * [simplify]: Extracting #1: cost 408 inf + 0 0.993 * * [simplify]: Extracting #2: cost 666 inf + 12127 1.020 * * [simplify]: Extracting #3: cost 302 inf + 94686 1.058 * * [simplify]: Extracting #4: cost 3 inf + 155448 1.091 * * [simplify]: Extracting #5: cost 0 inf + 155765 1.118 * * [simplify]: Extracting #6: cost 0 inf + 155365 1.142 * [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)) 1.146 * * * [progress]: adding candidates to table 1.707 * * [progress]: iteration 2 / 4 1.708 * * * [progress]: picking best candidate 1.723 * * * * [pick]: Picked # 1.723 * * * [progress]: localizing error 1.759 * * * [progress]: generating rewritten candidates 1.759 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.778 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.783 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.805 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.843 * * * [progress]: generating series expansions 1.843 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.843 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 1.843 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 1.843 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 1.843 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.843 * [taylor]: Taking taylor expansion of (sin x) in x 1.843 * [taylor]: Taking taylor expansion of x in x 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.845 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.845 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 1.845 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.845 * [taylor]: Taking taylor expansion of x in x 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.845 * [taylor]: Taking taylor expansion of (cos x) in x 1.845 * [taylor]: Taking taylor expansion of x in x 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [taylor]: Taking taylor expansion of 1 in x 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [backup-simplify]: Simplify (* 1 1) into 1 1.846 * [backup-simplify]: Simplify (* 1 1) into 1 1.846 * [backup-simplify]: Simplify (+ 1 1) into 2 1.846 * [backup-simplify]: Simplify (* 1 2) into 2 1.847 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.847 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 1.847 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.847 * [taylor]: Taking taylor expansion of (sin x) in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.847 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 1.847 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.847 * [taylor]: Taking taylor expansion of (cos x) in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [taylor]: Taking taylor expansion of 1 in x 1.847 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify (* 1 1) into 1 1.848 * [backup-simplify]: Simplify (* 1 1) into 1 1.848 * [backup-simplify]: Simplify (+ 1 1) into 2 1.849 * [backup-simplify]: Simplify (* 1 2) into 2 1.849 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.849 * [backup-simplify]: Simplify 1/2 into 1/2 1.849 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.850 * [backup-simplify]: Simplify (+ 0) into 0 1.850 * [backup-simplify]: Simplify (+ 0 0) into 0 1.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 1.852 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 1.852 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.854 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.855 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.855 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.856 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 1.857 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 1.857 * [backup-simplify]: Simplify -1/24 into -1/24 1.858 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.860 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 1.862 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.864 * [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 1.865 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.867 * [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 1.868 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.869 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 1.871 * [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 1.871 * [backup-simplify]: Simplify 1/720 into 1/720 1.871 * [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))) 1.871 * [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)) 1.871 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 1.871 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 1.871 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 1.871 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.871 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.871 * [taylor]: Taking taylor expansion of x in x 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (/ 1 1) into 1 1.872 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.872 * [taylor]: Taking taylor expansion of x in x 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 1 into 1 1.872 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.872 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.872 * [taylor]: Taking taylor expansion of x in x 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (/ 1 1) into 1 1.872 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.872 * [taylor]: Taking taylor expansion of 1 in x 1.872 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.873 * [backup-simplify]: Simplify (* 1 1) into 1 1.873 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 1.873 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.873 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.873 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 1.873 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 1.873 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.873 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.873 * [taylor]: Taking taylor expansion of x in x 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [backup-simplify]: Simplify (/ 1 1) into 1 1.873 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.873 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.873 * [taylor]: Taking taylor expansion of x in x 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.873 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.873 * [taylor]: Taking taylor expansion of x in x 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.874 * [backup-simplify]: Simplify (/ 1 1) into 1 1.874 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.874 * [taylor]: Taking taylor expansion of 1 in x 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.874 * [backup-simplify]: Simplify (* 1 1) into 1 1.874 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 1.874 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.874 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.875 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.875 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 1.876 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 1.876 * [backup-simplify]: Simplify (+ 0 0) into 0 1.876 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.876 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.877 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 1.877 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.878 * [backup-simplify]: Simplify (+ 0 0) into 0 1.878 * [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 1.878 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.879 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 1.880 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.880 * [backup-simplify]: Simplify (+ 0 0) into 0 1.881 * [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 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.883 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 1.884 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.884 * [backup-simplify]: Simplify (+ 0 0) into 0 1.885 * [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 1.885 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.888 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 1.889 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.889 * [backup-simplify]: Simplify (+ 0 0) into 0 1.889 * [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 1.889 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.892 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 1.892 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.893 * [backup-simplify]: Simplify (+ 0 0) into 0 1.893 * [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 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [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))) 1.894 * [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)) 1.894 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 1.894 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 1.894 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 1.894 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.894 * [taylor]: Taking taylor expansion of x in x 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.894 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.894 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.894 * [taylor]: Taking taylor expansion of -1 in x 1.894 * [backup-simplify]: Simplify -1 into -1 1.894 * [taylor]: Taking taylor expansion of x in x 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (/ -1 1) into -1 1.894 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.894 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.894 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.894 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.894 * [taylor]: Taking taylor expansion of -1 in x 1.894 * [backup-simplify]: Simplify -1 into -1 1.894 * [taylor]: Taking taylor expansion of x in x 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (/ -1 1) into -1 1.895 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.895 * [taylor]: Taking taylor expansion of 1 in x 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (* 1 1) into 1 1.895 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.895 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 1.895 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.895 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.895 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 1.895 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 1.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.895 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.895 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.895 * [taylor]: Taking taylor expansion of -1 in x 1.895 * [backup-simplify]: Simplify -1 into -1 1.895 * [taylor]: Taking taylor expansion of x in x 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (/ -1 1) into -1 1.896 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.896 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.896 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.896 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.896 * [taylor]: Taking taylor expansion of -1 in x 1.896 * [backup-simplify]: Simplify -1 into -1 1.896 * [taylor]: Taking taylor expansion of x in x 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (/ -1 1) into -1 1.896 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.896 * [taylor]: Taking taylor expansion of 1 in x 1.896 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify (* 1 1) into 1 1.897 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.897 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 1.897 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.897 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.897 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.897 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 1.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 1.898 * [backup-simplify]: Simplify (+ 0 0) into 0 1.898 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.898 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 1.900 * [backup-simplify]: Simplify (+ 0 0) into 0 1.900 * [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 1.900 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 1.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 1.903 * [backup-simplify]: Simplify (+ 0 0) into 0 1.903 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 1.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 1.906 * [backup-simplify]: Simplify (+ 0 0) into 0 1.906 * [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 1.906 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 1.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.910 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 1.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 1.913 * [backup-simplify]: Simplify (+ 0 0) into 0 1.914 * [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 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [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))) 1.914 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.914 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 1.914 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 1.914 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.914 * [taylor]: Taking taylor expansion of (cos x) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.914 * [taylor]: Taking taylor expansion of 1 in x 1.914 * [backup-simplify]: Simplify 1 into 1 1.914 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.914 * [taylor]: Taking taylor expansion of (cos x) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.914 * [taylor]: Taking taylor expansion of 1 in x 1.914 * [backup-simplify]: Simplify 1 into 1 1.915 * [backup-simplify]: Simplify (+ 1 1) into 2 1.915 * [backup-simplify]: Simplify 2 into 2 1.915 * [backup-simplify]: Simplify (+ 0) into 0 1.915 * [backup-simplify]: Simplify (+ 0 0) into 0 1.915 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.916 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.916 * [backup-simplify]: Simplify -1/2 into -1/2 1.917 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.917 * [backup-simplify]: Simplify (+ 0 0) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.919 * [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 1.919 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.919 * [backup-simplify]: Simplify 1/24 into 1/24 1.919 * [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))) 1.919 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 1.920 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 1.920 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.920 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [backup-simplify]: Simplify (/ 1 1) into 1 1.920 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.920 * [taylor]: Taking taylor expansion of 1 in x 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.920 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [backup-simplify]: Simplify (/ 1 1) into 1 1.920 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.920 * [taylor]: Taking taylor expansion of 1 in x 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.920 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.921 * [backup-simplify]: Simplify (+ 0 0) into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify (+ 0 0) into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 1.926 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 1.926 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 1.926 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.926 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.926 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.926 * [taylor]: Taking taylor expansion of -1 in x 1.926 * [backup-simplify]: Simplify -1 into -1 1.926 * [taylor]: Taking taylor expansion of x in x 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (/ -1 1) into -1 1.927 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.927 * [taylor]: Taking taylor expansion of 1 in x 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.927 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.927 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.927 * [taylor]: Taking taylor expansion of -1 in x 1.927 * [backup-simplify]: Simplify -1 into -1 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (/ -1 1) into -1 1.927 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.927 * [taylor]: Taking taylor expansion of 1 in x 1.927 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.928 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.928 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (+ 0 0) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (+ 0 0) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 1.931 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.931 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 1.931 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 1.931 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.931 * [taylor]: Taking taylor expansion of (sin x) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.932 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.932 * [taylor]: Taking taylor expansion of (sin x) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.933 * [backup-simplify]: Simplify (* 1 1) into 1 1.933 * [backup-simplify]: Simplify 1 into 1 1.934 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.937 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.937 * [backup-simplify]: Simplify -1/3 into -1/3 1.939 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.945 * [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 1.946 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.947 * [backup-simplify]: Simplify 2/45 into 2/45 1.947 * [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))) 1.947 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.947 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 1.947 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.947 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.947 * [taylor]: Taking taylor expansion of x in x 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (/ 1 1) into 1 1.948 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.948 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.948 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (/ 1 1) into 1 1.949 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.949 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.949 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 1.949 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 1.949 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 1.951 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 1.958 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 1.958 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 1.958 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.958 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.958 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.958 * [taylor]: Taking taylor expansion of -1 in x 1.958 * [backup-simplify]: Simplify -1 into -1 1.958 * [taylor]: Taking taylor expansion of x in x 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (/ -1 1) into -1 1.958 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.958 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.958 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.958 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.959 * [taylor]: Taking taylor expansion of -1 in x 1.959 * [backup-simplify]: Simplify -1 into -1 1.959 * [taylor]: Taking taylor expansion of x in x 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (/ -1 1) into -1 1.959 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.959 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.960 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 1.960 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 1.967 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.967 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 1.967 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 1.967 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 1.967 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.967 * [taylor]: Taking taylor expansion of (sin x) in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.969 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.969 * [taylor]: Taking taylor expansion of (cos x) in x 1.969 * [taylor]: Taking taylor expansion of x in x 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [taylor]: Taking taylor expansion of 1 in x 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (* 1 1) into 1 1.970 * [backup-simplify]: Simplify (+ 1 1) into 2 1.970 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.970 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 1.970 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.970 * [taylor]: Taking taylor expansion of (sin x) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.971 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.971 * [taylor]: Taking taylor expansion of (cos x) in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [taylor]: Taking taylor expansion of 1 in x 1.971 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (* 1 1) into 1 1.972 * [backup-simplify]: Simplify (+ 1 1) into 2 1.973 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.973 * [backup-simplify]: Simplify 1/2 into 1/2 1.973 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.974 * [backup-simplify]: Simplify (+ 0) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.977 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.977 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.977 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.978 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 1.978 * [backup-simplify]: Simplify -1/24 into -1/24 1.979 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.981 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.981 * [backup-simplify]: Simplify (+ 0 0) into 0 1.982 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 1.982 * [backup-simplify]: Simplify 0 into 0 1.985 * [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 1.986 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.987 * [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 1.987 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.989 * [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 1.989 * [backup-simplify]: Simplify 1/720 into 1/720 1.989 * [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))) 1.989 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.989 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 1.989 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 1.989 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.989 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.989 * [taylor]: Taking taylor expansion of x in x 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (/ 1 1) into 1 1.990 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.990 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.990 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (/ 1 1) into 1 1.990 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.990 * [taylor]: Taking taylor expansion of 1 in x 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.990 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.990 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.990 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 1.990 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.990 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (/ 1 1) into 1 1.991 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.991 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.991 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.991 * [taylor]: Taking taylor expansion of x in x 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (/ 1 1) into 1 1.991 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.991 * [taylor]: Taking taylor expansion of 1 in x 1.991 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.991 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.991 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.991 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.992 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 1.992 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.993 * [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 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 1.994 * [backup-simplify]: Simplify (+ 0 0) into 0 1.994 * [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 1.994 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 1.995 * [backup-simplify]: Simplify (+ 0 0) into 0 1.995 * [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 1.995 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 1.997 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [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 1.997 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 1.999 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [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 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 1.999 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.999 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 1.999 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 1.999 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.999 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.999 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.999 * [taylor]: Taking taylor expansion of -1 in x 1.999 * [backup-simplify]: Simplify -1 into -1 1.999 * [taylor]: Taking taylor expansion of x in x 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (/ -1 1) into -1 2.000 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.000 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.000 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.000 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.000 * [taylor]: Taking taylor expansion of -1 in x 2.000 * [backup-simplify]: Simplify -1 into -1 2.000 * [taylor]: Taking taylor expansion of x in x 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (/ -1 1) into -1 2.000 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.000 * [taylor]: Taking taylor expansion of 1 in x 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.000 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.000 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.001 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 2.001 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.001 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.001 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.001 * [taylor]: Taking taylor expansion of -1 in x 2.001 * [backup-simplify]: Simplify -1 into -1 2.001 * [taylor]: Taking taylor expansion of x in x 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (/ -1 1) into -1 2.001 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.001 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.001 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.001 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.001 * [taylor]: Taking taylor expansion of -1 in x 2.001 * [backup-simplify]: Simplify -1 into -1 2.001 * [taylor]: Taking taylor expansion of x in x 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (/ -1 1) into -1 2.001 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.001 * [taylor]: Taking taylor expansion of 1 in x 2.001 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.002 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.002 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.002 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.002 * [backup-simplify]: Simplify (+ 0 0) into 0 2.002 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.002 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.003 * [backup-simplify]: Simplify (+ 0 0) into 0 2.003 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.006 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.007 * [backup-simplify]: Simplify (+ 0 0) into 0 2.007 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.010 * * * [progress]: simplifying candidates 2.010 * * * * [progress]: [ 1 / 138 ] simplifiying candidate # 2.010 * * * * [progress]: [ 2 / 138 ] simplifiying candidate # 2.010 * * * * [progress]: [ 3 / 138 ] simplifiying candidate # 2.010 * * * * [progress]: [ 4 / 138 ] simplifiying candidate # 2.010 * * * * [progress]: [ 5 / 138 ] simplifiying candidate # 2.010 * * * * [progress]: [ 6 / 138 ] simplifiying candidate # 2.010 * * * * [progress]: [ 7 / 138 ] simplifiying candidate # 2.010 * * * * [progress]: [ 8 / 138 ] simplifiying candidate # 2.010 * * * * [progress]: [ 9 / 138 ] simplifiying candidate # 2.010 * * * * [progress]: [ 10 / 138 ] simplifiying candidate # 2.010 * * * * [progress]: [ 11 / 138 ] simplifiying candidate # 2.010 * * * * [progress]: [ 12 / 138 ] simplifiying candidate # 2.010 * * * * [progress]: [ 13 / 138 ] simplifiying candidate # 2.010 * * * * [progress]: [ 14 / 138 ] simplifiying candidate # 2.010 * * * * [progress]: [ 15 / 138 ] simplifiying candidate # 2.011 * * * * [progress]: [ 16 / 138 ] simplifiying candidate # 2.011 * * * * [progress]: [ 17 / 138 ] simplifiying candidate # 2.011 * * * * [progress]: [ 18 / 138 ] simplifiying candidate # 2.011 * * * * [progress]: [ 19 / 138 ] simplifiying candidate # 2.011 * * * * [progress]: [ 20 / 138 ] simplifiying candidate # 2.011 * * * * [progress]: [ 21 / 138 ] simplifiying candidate # 2.011 * * * * [progress]: [ 22 / 138 ] simplifiying candidate # 2.011 * * * * [progress]: [ 23 / 138 ] simplifiying candidate # 2.011 * * * * [progress]: [ 24 / 138 ] simplifiying candidate # 2.011 * * * * [progress]: [ 25 / 138 ] simplifiying candidate # 2.011 * * * * [progress]: [ 26 / 138 ] simplifiying candidate # 2.011 * * * * [progress]: [ 27 / 138 ] simplifiying candidate # 2.011 * * * * [progress]: [ 28 / 138 ] simplifiying candidate # 2.012 * * * * [progress]: [ 29 / 138 ] simplifiying candidate # 2.012 * * * * [progress]: [ 30 / 138 ] simplifiying candidate # 2.012 * * * * [progress]: [ 31 / 138 ] simplifiying candidate # 2.012 * * * * [progress]: [ 32 / 138 ] simplifiying candidate # 2.012 * * * * [progress]: [ 33 / 138 ] simplifiying candidate # 2.012 * * * * [progress]: [ 34 / 138 ] simplifiying candidate # 2.012 * * * * [progress]: [ 35 / 138 ] simplifiying candidate # 2.012 * * * * [progress]: [ 36 / 138 ] simplifiying candidate # 2.012 * * * * [progress]: [ 37 / 138 ] simplifiying candidate # 2.012 * * * * [progress]: [ 38 / 138 ] simplifiying candidate # 2.012 * * * * [progress]: [ 39 / 138 ] simplifiying candidate # 2.012 * * * * [progress]: [ 40 / 138 ] simplifiying candidate # 2.012 * * * * [progress]: [ 41 / 138 ] simplifiying candidate # 2.012 * * * * [progress]: [ 42 / 138 ] simplifiying candidate # 2.012 * * * * [progress]: [ 43 / 138 ] simplifiying candidate # 2.013 * * * * [progress]: [ 44 / 138 ] simplifiying candidate # 2.013 * * * * [progress]: [ 45 / 138 ] simplifiying candidate # 2.013 * * * * [progress]: [ 46 / 138 ] simplifiying candidate # 2.013 * * * * [progress]: [ 47 / 138 ] simplifiying candidate # 2.013 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 2.013 * * * * [progress]: [ 49 / 138 ] simplifiying candidate # 2.013 * * * * [progress]: [ 50 / 138 ] simplifiying candidate # 2.013 * * * * [progress]: [ 51 / 138 ] simplifiying candidate # 2.013 * * * * [progress]: [ 52 / 138 ] simplifiying candidate # 2.013 * * * * [progress]: [ 53 / 138 ] simplifiying candidate # 2.013 * * * * [progress]: [ 54 / 138 ] simplifiying candidate # 2.013 * * * * [progress]: [ 55 / 138 ] simplifiying candidate # 2.013 * * * * [progress]: [ 56 / 138 ] simplifiying candidate # 2.013 * * * * [progress]: [ 57 / 138 ] simplifiying candidate # 2.013 * * * * [progress]: [ 58 / 138 ] simplifiying candidate # 2.013 * * * * [progress]: [ 59 / 138 ] simplifiying candidate # 2.014 * * * * [progress]: [ 60 / 138 ] simplifiying candidate # 2.014 * * * * [progress]: [ 61 / 138 ] simplifiying candidate # 2.014 * * * * [progress]: [ 62 / 138 ] simplifiying candidate # 2.014 * * * * [progress]: [ 63 / 138 ] simplifiying candidate # 2.014 * * * * [progress]: [ 64 / 138 ] simplifiying candidate # 2.014 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 2.014 * * * * [progress]: [ 66 / 138 ] simplifiying candidate # 2.014 * * * * [progress]: [ 67 / 138 ] simplifiying candidate # 2.014 * * * * [progress]: [ 68 / 138 ] simplifiying candidate # 2.014 * * * * [progress]: [ 69 / 138 ] simplifiying candidate # 2.014 * * * * [progress]: [ 70 / 138 ] simplifiying candidate # 2.014 * * * * [progress]: [ 71 / 138 ] simplifiying candidate # 2.014 * * * * [progress]: [ 72 / 138 ] simplifiying candidate # 2.014 * * * * [progress]: [ 73 / 138 ] simplifiying candidate # 2.014 * * * * [progress]: [ 74 / 138 ] simplifiying candidate # 2.015 * * * * [progress]: [ 75 / 138 ] simplifiying candidate # 2.015 * * * * [progress]: [ 76 / 138 ] simplifiying candidate # 2.015 * * * * [progress]: [ 77 / 138 ] simplifiying candidate # 2.015 * * * * [progress]: [ 78 / 138 ] simplifiying candidate # 2.015 * * * * [progress]: [ 79 / 138 ] simplifiying candidate # 2.015 * * * * [progress]: [ 80 / 138 ] simplifiying candidate # 2.015 * * * * [progress]: [ 81 / 138 ] simplifiying candidate # 2.015 * * * * [progress]: [ 82 / 138 ] simplifiying candidate # 2.015 * * * * [progress]: [ 83 / 138 ] simplifiying candidate # 2.015 * * * * [progress]: [ 84 / 138 ] simplifiying candidate # 2.015 * * * * [progress]: [ 85 / 138 ] simplifiying candidate # 2.015 * * * * [progress]: [ 86 / 138 ] simplifiying candidate # 2.015 * * * * [progress]: [ 87 / 138 ] simplifiying candidate # 2.015 * * * * [progress]: [ 88 / 138 ] simplifiying candidate # 2.015 * * * * [progress]: [ 89 / 138 ] simplifiying candidate # 2.016 * * * * [progress]: [ 90 / 138 ] simplifiying candidate # 2.016 * * * * [progress]: [ 91 / 138 ] simplifiying candidate # 2.016 * * * * [progress]: [ 92 / 138 ] simplifiying candidate # 2.016 * * * * [progress]: [ 93 / 138 ] simplifiying candidate # 2.016 * * * * [progress]: [ 94 / 138 ] simplifiying candidate # 2.016 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 2.016 * * * * [progress]: [ 96 / 138 ] simplifiying candidate # 2.016 * * * * [progress]: [ 97 / 138 ] simplifiying candidate # 2.016 * * * * [progress]: [ 98 / 138 ] simplifiying candidate # 2.016 * * * * [progress]: [ 99 / 138 ] simplifiying candidate # 2.016 * * * * [progress]: [ 100 / 138 ] simplifiying candidate # 2.016 * * * * [progress]: [ 101 / 138 ] simplifiying candidate # 2.016 * * * * [progress]: [ 102 / 138 ] simplifiying candidate # 2.016 * * * * [progress]: [ 103 / 138 ] simplifiying candidate # 2.016 * * * * [progress]: [ 104 / 138 ] simplifiying candidate # 2.017 * * * * [progress]: [ 105 / 138 ] simplifiying candidate # 2.017 * * * * [progress]: [ 106 / 138 ] simplifiying candidate # 2.017 * * * * [progress]: [ 107 / 138 ] simplifiying candidate # 2.017 * * * * [progress]: [ 108 / 138 ] simplifiying candidate # 2.017 * * * * [progress]: [ 109 / 138 ] simplifiying candidate # 2.017 * * * * [progress]: [ 110 / 138 ] simplifiying candidate # 2.017 * * * * [progress]: [ 111 / 138 ] simplifiying candidate # 2.017 * * * * [progress]: [ 112 / 138 ] simplifiying candidate # 2.017 * * * * [progress]: [ 113 / 138 ] simplifiying candidate # 2.017 * * * * [progress]: [ 114 / 138 ] simplifiying candidate # 2.017 * * * * [progress]: [ 115 / 138 ] simplifiying candidate # 2.017 * * * * [progress]: [ 116 / 138 ] simplifiying candidate # 2.017 * * * * [progress]: [ 117 / 138 ] simplifiying candidate # 2.017 * * * * [progress]: [ 118 / 138 ] simplifiying candidate # 2.018 * * * * [progress]: [ 119 / 138 ] simplifiying candidate # 2.018 * * * * [progress]: [ 120 / 138 ] simplifiying candidate # 2.018 * * * * [progress]: [ 121 / 138 ] simplifiying candidate # 2.018 * * * * [progress]: [ 122 / 138 ] simplifiying candidate # 2.018 * * * * [progress]: [ 123 / 138 ] simplifiying candidate # 2.018 * * * * [progress]: [ 124 / 138 ] simplifiying candidate # 2.018 * * * * [progress]: [ 125 / 138 ] simplifiying candidate # 2.018 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 2.018 * * * * [progress]: [ 127 / 138 ] simplifiying candidate # 2.018 * * * * [progress]: [ 128 / 138 ] simplifiying candidate # 2.018 * * * * [progress]: [ 129 / 138 ] simplifiying candidate # 2.018 * * * * [progress]: [ 130 / 138 ] simplifiying candidate # 2.018 * * * * [progress]: [ 131 / 138 ] simplifiying candidate # 2.018 * * * * [progress]: [ 132 / 138 ] simplifiying candidate # 2.018 * * * * [progress]: [ 133 / 138 ] simplifiying candidate # 2.018 * * * * [progress]: [ 134 / 138 ] simplifiying candidate # 2.018 * * * * [progress]: [ 135 / 138 ] simplifiying candidate # 2.019 * * * * [progress]: [ 136 / 138 ] simplifiying candidate # 2.019 * * * * [progress]: [ 137 / 138 ] simplifiying candidate # 2.019 * * * * [progress]: [ 138 / 138 ] simplifiying candidate # 2.021 * [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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(log (+ 1 (cos x)))) (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (exp (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* (sin x) (sin x))) (- (+ 1 (cos x))) (/ 1/2 (+ 1 (cos x))) (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ 1 (+ 1 (cos x))) (/ (+ 1 (cos x)) (* (sin x) (sin x))) (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (/ (* (sin x) (sin x)) 1) (/ (* (sin x) (sin x)) 1) (/ (+ 1 (cos x)) (sin x)) (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (* (+ 1 (cos x)) 2) (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) (+ (cos x) 1) (+ (cos x) 1) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (/ (pow (sin x) 2) (+ (cos x) 1)) (/ (pow (sin x) 2) (+ (cos x) 1)) 2.025 * * [simplify]: iteration 0: 190 enodes 2.100 * * [simplify]: iteration 1: 525 enodes 2.407 * * [simplify]: iteration 2: 1777 enodes 2.743 * * [simplify]: iteration 3: 2000 enodes 3.100 * * [simplify]: iteration complete: 2000 enodes 3.101 * * [simplify]: Extracting #0: cost 108 inf + 0 3.102 * * [simplify]: Extracting #1: cost 513 inf + 2 3.104 * * [simplify]: Extracting #2: cost 664 inf + 3435 3.119 * * [simplify]: Extracting #3: cost 374 inf + 58162 3.161 * * [simplify]: Extracting #4: cost 86 inf + 145991 3.190 * * [simplify]: Extracting #5: cost 1 inf + 171989 3.230 * * [simplify]: Extracting #6: cost 0 inf + 171087 3.277 * [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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(* (* (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (* (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))) (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (* (* (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (sqrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (sqrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (/ (- (* (sin x) (sin x))) (+ (cos x) 1)) (- (* x x)) (/ 1/2 (fma (* x x) (cos x) (* x x))) (/ (cos (+ x x)) (/ (fma (* x x) (cos x) (* x x)) 1/2)) (* (/ (cbrt (* (/ (sin x) (+ (cos x) 1)) (sin x))) x) (cbrt (* (/ (sin x) (+ (cos x) 1)) (sin x)))) (/ (cbrt (* (/ (sin x) (+ (cos x) 1)) (sin x))) x) (/ (sqrt (* (/ (sin x) (+ (cos x) 1)) (sin 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)) 3.289 * * * [progress]: adding candidates to table 4.508 * * [progress]: iteration 3 / 4 4.509 * * * [progress]: picking best candidate 4.536 * * * * [pick]: Picked # 4.537 * * * [progress]: localizing error 4.571 * * * [progress]: generating rewritten candidates 4.571 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 4.586 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 4.599 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.620 * * * [progress]: generating series expansions 4.620 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 4.621 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 4.621 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 4.621 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 4.621 * [taylor]: Taking taylor expansion of (sin x) in x 4.621 * [taylor]: Taking taylor expansion of x in x 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 1 into 1 4.621 * [taylor]: Taking taylor expansion of x in x 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 1 into 1 4.622 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.622 * [backup-simplify]: Simplify (/ 1 1) into 1 4.622 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 4.622 * [taylor]: Taking taylor expansion of (sin x) in x 4.622 * [taylor]: Taking taylor expansion of x in x 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 1 into 1 4.622 * [taylor]: Taking taylor expansion of x in x 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 1 into 1 4.622 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.623 * [backup-simplify]: Simplify (/ 1 1) into 1 4.623 * [backup-simplify]: Simplify 1 into 1 4.623 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.624 * [backup-simplify]: Simplify 0 into 0 4.624 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.625 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 4.625 * [backup-simplify]: Simplify -1/6 into -1/6 4.626 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 4.627 * [backup-simplify]: Simplify 0 into 0 4.629 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 4.629 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 4.629 * [backup-simplify]: Simplify 1/120 into 1/120 4.630 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) 4.630 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 4.630 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 4.630 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 4.630 * [taylor]: Taking taylor expansion of x in x 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify 1 into 1 4.630 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.630 * [taylor]: Taking taylor expansion of x in x 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify 1 into 1 4.630 * [backup-simplify]: Simplify (/ 1 1) into 1 4.630 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.630 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 4.630 * [taylor]: Taking taylor expansion of x in x 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify 1 into 1 4.630 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.630 * [taylor]: Taking taylor expansion of x in x 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify 1 into 1 4.631 * [backup-simplify]: Simplify (/ 1 1) into 1 4.631 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.631 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 4.631 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.635 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 4.635 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 4.636 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 4.637 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 4.638 * [backup-simplify]: Simplify 0 into 0 4.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 4.639 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 4.641 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 4.641 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 4.641 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 4.641 * [taylor]: Taking taylor expansion of -1 in x 4.641 * [backup-simplify]: Simplify -1 into -1 4.641 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 4.641 * [taylor]: Taking taylor expansion of x in x 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 1 into 1 4.641 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.641 * [taylor]: Taking taylor expansion of -1 in x 4.641 * [backup-simplify]: Simplify -1 into -1 4.641 * [taylor]: Taking taylor expansion of x in x 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify 1 into 1 4.642 * [backup-simplify]: Simplify (/ -1 1) into -1 4.642 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.642 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 4.642 * [taylor]: Taking taylor expansion of -1 in x 4.642 * [backup-simplify]: Simplify -1 into -1 4.642 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 4.642 * [taylor]: Taking taylor expansion of x in x 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify 1 into 1 4.642 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.642 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.642 * [taylor]: Taking taylor expansion of -1 in x 4.642 * [backup-simplify]: Simplify -1 into -1 4.642 * [taylor]: Taking taylor expansion of x in x 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify 1 into 1 4.642 * [backup-simplify]: Simplify (/ -1 1) into -1 4.642 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.642 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 4.643 * [backup-simplify]: Simplify (* -1 0) into 0 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 4.644 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 4.644 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 4.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 4.645 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 4.645 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 4.646 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 4.646 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 4.648 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 4.648 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 4.651 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 4.651 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 4.654 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 4.654 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 4.657 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 4.657 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 4.657 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 4.657 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 4.657 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 4.657 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 4.657 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.658 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.658 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.658 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.658 * [taylor]: Taking taylor expansion of 1/2 in x 4.659 * [backup-simplify]: Simplify 1/2 into 1/2 4.659 * [taylor]: Taking taylor expansion of x in x 4.659 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify 1 into 1 4.659 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.659 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.659 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.659 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.659 * [taylor]: Taking taylor expansion of 1/2 in x 4.659 * [backup-simplify]: Simplify 1/2 into 1/2 4.659 * [taylor]: Taking taylor expansion of x in x 4.659 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify 1 into 1 4.660 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.660 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.661 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.661 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.661 * [taylor]: Taking taylor expansion of x in x 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 1 into 1 4.661 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.661 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 4.661 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.661 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.661 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.661 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.661 * [taylor]: Taking taylor expansion of 1/2 in x 4.661 * [backup-simplify]: Simplify 1/2 into 1/2 4.661 * [taylor]: Taking taylor expansion of x in x 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 1 into 1 4.662 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.662 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.662 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.662 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.662 * [taylor]: Taking taylor expansion of 1/2 in x 4.662 * [backup-simplify]: Simplify 1/2 into 1/2 4.662 * [taylor]: Taking taylor expansion of x in x 4.662 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify 1 into 1 4.663 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.663 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.664 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.664 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.664 * [taylor]: Taking taylor expansion of x in x 4.664 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify 1 into 1 4.664 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.664 * [backup-simplify]: Simplify 1/2 into 1/2 4.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.665 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.666 * [backup-simplify]: Simplify (+ 0) into 0 4.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.668 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.670 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 4.671 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 4.673 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 4.674 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 4.674 * [backup-simplify]: Simplify 1/24 into 1/24 4.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.677 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.679 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.680 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 4.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.688 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 4.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.692 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 4.695 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 4.696 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 4.696 * [backup-simplify]: Simplify 1/240 into 1/240 4.697 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 4)) (+ (* 1/24 (pow x 2)) 1/2)) into (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) 4.697 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 4.697 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 4.697 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 4.697 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.697 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.697 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.697 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.697 * [taylor]: Taking taylor expansion of 1/2 in x 4.697 * [backup-simplify]: Simplify 1/2 into 1/2 4.697 * [taylor]: Taking taylor expansion of x in x 4.697 * [backup-simplify]: Simplify 0 into 0 4.697 * [backup-simplify]: Simplify 1 into 1 4.698 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.698 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.698 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.698 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.698 * [taylor]: Taking taylor expansion of 1/2 in x 4.698 * [backup-simplify]: Simplify 1/2 into 1/2 4.698 * [taylor]: Taking taylor expansion of x in x 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 1 into 1 4.699 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.699 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.699 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.699 * [taylor]: Taking taylor expansion of x in x 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 1 into 1 4.699 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 4.699 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.699 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.699 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.699 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.699 * [taylor]: Taking taylor expansion of 1/2 in x 4.699 * [backup-simplify]: Simplify 1/2 into 1/2 4.699 * [taylor]: Taking taylor expansion of x in x 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 1 into 1 4.700 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.700 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.700 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.700 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.700 * [taylor]: Taking taylor expansion of 1/2 in x 4.700 * [backup-simplify]: Simplify 1/2 into 1/2 4.700 * [taylor]: Taking taylor expansion of x in x 4.700 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify 1 into 1 4.700 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.701 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.701 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.701 * [taylor]: Taking taylor expansion of x in x 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify 1 into 1 4.701 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 4.702 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.702 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.702 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.703 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 4.703 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.705 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.706 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.706 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.708 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.708 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.710 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.710 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.712 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.712 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 4.713 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 4.713 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 4.713 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 4.713 * [taylor]: Taking taylor expansion of -1 in x 4.713 * [backup-simplify]: Simplify -1 into -1 4.713 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 4.713 * [taylor]: Taking taylor expansion of x in x 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.713 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.713 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.713 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.713 * [taylor]: Taking taylor expansion of -1/2 in x 4.713 * [backup-simplify]: Simplify -1/2 into -1/2 4.713 * [taylor]: Taking taylor expansion of x in x 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify 1 into 1 4.714 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.714 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.714 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.714 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.714 * [taylor]: Taking taylor expansion of -1/2 in x 4.714 * [backup-simplify]: Simplify -1/2 into -1/2 4.714 * [taylor]: Taking taylor expansion of x in x 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 1 into 1 4.715 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.715 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.715 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.715 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 4.715 * [taylor]: Taking taylor expansion of -1 in x 4.715 * [backup-simplify]: Simplify -1 into -1 4.715 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 4.715 * [taylor]: Taking taylor expansion of x in x 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 1 into 1 4.715 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.715 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.715 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.715 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.715 * [taylor]: Taking taylor expansion of -1/2 in x 4.715 * [backup-simplify]: Simplify -1/2 into -1/2 4.715 * [taylor]: Taking taylor expansion of x in x 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 1 into 1 4.716 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.716 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.716 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.716 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.716 * [taylor]: Taking taylor expansion of -1/2 in x 4.716 * [backup-simplify]: Simplify -1/2 into -1/2 4.716 * [taylor]: Taking taylor expansion of x in x 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 1 into 1 4.717 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.717 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.717 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.717 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 4.718 * [backup-simplify]: Simplify (* -1 0) into 0 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 4.719 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.719 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 4.719 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 4.720 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.721 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 4.722 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 4.725 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 4.725 * [backup-simplify]: Simplify 0 into 0 4.725 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 4.729 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 4.729 * [backup-simplify]: Simplify 0 into 0 4.729 * [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)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 4.734 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 4.734 * [backup-simplify]: Simplify 0 into 0 4.735 * [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)))))) into 0 4.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 4.739 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))))) into 0 4.739 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0 4.745 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))))) into 0 4.745 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify (* (- (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 4.746 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.746 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 4.746 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 4.746 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 4.746 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 4.746 * [taylor]: Taking taylor expansion of (sin x) in x 4.746 * [taylor]: Taking taylor expansion of x in x 4.746 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify 1 into 1 4.746 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.746 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.746 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.746 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.746 * [taylor]: Taking taylor expansion of 1/2 in x 4.746 * [backup-simplify]: Simplify 1/2 into 1/2 4.746 * [taylor]: Taking taylor expansion of x in x 4.746 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify 1 into 1 4.747 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.748 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.748 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.748 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.748 * [taylor]: Taking taylor expansion of 1/2 in x 4.748 * [backup-simplify]: Simplify 1/2 into 1/2 4.748 * [taylor]: Taking taylor expansion of x in x 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify 1 into 1 4.748 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.749 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.750 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.750 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.750 * [taylor]: Taking taylor expansion of x in x 4.750 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify 1 into 1 4.751 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.752 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.753 * [backup-simplify]: Simplify (+ 0) into 0 4.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.754 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.755 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 4.756 * [backup-simplify]: Simplify (* 1 1) into 1 4.756 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.756 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 4.756 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 4.756 * [taylor]: Taking taylor expansion of (sin x) in x 4.756 * [taylor]: Taking taylor expansion of x in x 4.756 * [backup-simplify]: Simplify 0 into 0 4.756 * [backup-simplify]: Simplify 1 into 1 4.756 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.756 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.756 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.756 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.756 * [taylor]: Taking taylor expansion of 1/2 in x 4.756 * [backup-simplify]: Simplify 1/2 into 1/2 4.756 * [taylor]: Taking taylor expansion of x in x 4.757 * [backup-simplify]: Simplify 0 into 0 4.757 * [backup-simplify]: Simplify 1 into 1 4.760 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.761 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.761 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.761 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.761 * [taylor]: Taking taylor expansion of 1/2 in x 4.761 * [backup-simplify]: Simplify 1/2 into 1/2 4.761 * [taylor]: Taking taylor expansion of x in x 4.761 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify 1 into 1 4.762 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.762 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.763 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.763 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.763 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.763 * [taylor]: Taking taylor expansion of x in x 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify 1 into 1 4.763 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.765 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.765 * [backup-simplify]: Simplify (+ 0) into 0 4.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.766 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.767 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 4.767 * [backup-simplify]: Simplify (* 1 1) into 1 4.767 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.767 * [backup-simplify]: Simplify 1/2 into 1/2 4.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.769 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 4.770 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 4.770 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 4.771 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.772 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 4.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.774 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.776 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 4.777 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.778 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 4.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.780 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 4.780 * [backup-simplify]: Simplify -1/24 into -1/24 4.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.783 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 4.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.785 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 4.786 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 4.787 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.788 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 4.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 4.790 * [backup-simplify]: Simplify 0 into 0 4.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.794 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.796 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 4.800 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 4.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 4.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.803 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 4.803 * [backup-simplify]: Simplify 1/720 into 1/720 4.804 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 4.804 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 4.804 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 4.804 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 4.804 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.804 * [taylor]: Taking taylor expansion of x in x 4.804 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify 1 into 1 4.804 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 4.804 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.805 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.805 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.805 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.805 * [taylor]: Taking taylor expansion of 1/2 in x 4.805 * [backup-simplify]: Simplify 1/2 into 1/2 4.805 * [taylor]: Taking taylor expansion of x in x 4.805 * [backup-simplify]: Simplify 0 into 0 4.805 * [backup-simplify]: Simplify 1 into 1 4.805 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.805 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.805 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.805 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.805 * [taylor]: Taking taylor expansion of 1/2 in x 4.805 * [backup-simplify]: Simplify 1/2 into 1/2 4.805 * [taylor]: Taking taylor expansion of x in x 4.805 * [backup-simplify]: Simplify 0 into 0 4.805 * [backup-simplify]: Simplify 1 into 1 4.805 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.806 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.806 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.806 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.806 * [taylor]: Taking taylor expansion of x in x 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify 1 into 1 4.806 * [backup-simplify]: Simplify (/ 1 1) into 1 4.806 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.806 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 4.806 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.806 * [taylor]: Taking taylor expansion of x in x 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify 1 into 1 4.806 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 4.806 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.806 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.806 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.806 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.806 * [taylor]: Taking taylor expansion of 1/2 in x 4.806 * [backup-simplify]: Simplify 1/2 into 1/2 4.806 * [taylor]: Taking taylor expansion of x in x 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify 1 into 1 4.807 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.807 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.807 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.807 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.807 * [taylor]: Taking taylor expansion of 1/2 in x 4.807 * [backup-simplify]: Simplify 1/2 into 1/2 4.807 * [taylor]: Taking taylor expansion of x in x 4.807 * [backup-simplify]: Simplify 0 into 0 4.807 * [backup-simplify]: Simplify 1 into 1 4.807 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.807 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.807 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.807 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.807 * [taylor]: Taking taylor expansion of x in x 4.807 * [backup-simplify]: Simplify 0 into 0 4.807 * [backup-simplify]: Simplify 1 into 1 4.808 * [backup-simplify]: Simplify (/ 1 1) into 1 4.808 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.808 * [backup-simplify]: Simplify (* 1 1) into 1 4.808 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4.808 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4.808 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4.808 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 4.809 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 4.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 4.809 * [backup-simplify]: Simplify 0 into 0 4.810 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.810 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 4.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 4.811 * [backup-simplify]: Simplify 0 into 0 4.811 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.812 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 4.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 4.813 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.815 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 4.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 4.816 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.818 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 4.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 4.820 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.821 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 4.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 4.824 * [backup-simplify]: Simplify 0 into 0 4.824 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 4.824 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) 4.824 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 4.824 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 4.824 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.824 * [taylor]: Taking taylor expansion of x in x 4.824 * [backup-simplify]: Simplify 0 into 0 4.824 * [backup-simplify]: Simplify 1 into 1 4.824 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 4.824 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.824 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.824 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.824 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.824 * [taylor]: Taking taylor expansion of -1/2 in x 4.824 * [backup-simplify]: Simplify -1/2 into -1/2 4.824 * [taylor]: Taking taylor expansion of x in x 4.824 * [backup-simplify]: Simplify 0 into 0 4.824 * [backup-simplify]: Simplify 1 into 1 4.825 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.825 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.825 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.825 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.825 * [taylor]: Taking taylor expansion of -1/2 in x 4.825 * [backup-simplify]: Simplify -1/2 into -1/2 4.825 * [taylor]: Taking taylor expansion of x in x 4.825 * [backup-simplify]: Simplify 0 into 0 4.825 * [backup-simplify]: Simplify 1 into 1 4.825 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.825 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.825 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.825 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.825 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.825 * [taylor]: Taking taylor expansion of -1 in x 4.825 * [backup-simplify]: Simplify -1 into -1 4.825 * [taylor]: Taking taylor expansion of x in x 4.825 * [backup-simplify]: Simplify 0 into 0 4.825 * [backup-simplify]: Simplify 1 into 1 4.826 * [backup-simplify]: Simplify (/ -1 1) into -1 4.826 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.826 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 4.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.826 * [taylor]: Taking taylor expansion of x in x 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 1 into 1 4.826 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 4.826 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.826 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.826 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.826 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.826 * [taylor]: Taking taylor expansion of -1/2 in x 4.826 * [backup-simplify]: Simplify -1/2 into -1/2 4.826 * [taylor]: Taking taylor expansion of x in x 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 1 into 1 4.826 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.826 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.826 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.826 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.826 * [taylor]: Taking taylor expansion of -1/2 in x 4.826 * [backup-simplify]: Simplify -1/2 into -1/2 4.826 * [taylor]: Taking taylor expansion of x in x 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 1 into 1 4.827 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.827 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.827 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.827 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.827 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.827 * [taylor]: Taking taylor expansion of -1 in x 4.827 * [backup-simplify]: Simplify -1 into -1 4.827 * [taylor]: Taking taylor expansion of x in x 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify 1 into 1 4.827 * [backup-simplify]: Simplify (/ -1 1) into -1 4.827 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.827 * [backup-simplify]: Simplify (* 1 1) into 1 4.828 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4.828 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4.828 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4.828 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 4.828 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 4.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.829 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 4.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.831 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 4.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 4.833 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.834 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 4.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.837 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 4.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.840 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 4.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 4.843 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 4.843 * * * [progress]: simplifying candidates 4.843 * * * * [progress]: [ 1 / 123 ] simplifiying candidate # 4.843 * * * * [progress]: [ 2 / 123 ] simplifiying candidate # 4.843 * * * * [progress]: [ 3 / 123 ] simplifiying candidate # 4.843 * * * * [progress]: [ 4 / 123 ] simplifiying candidate # 4.843 * * * * [progress]: [ 5 / 123 ] simplifiying candidate # 4.843 * * * * [progress]: [ 6 / 123 ] simplifiying candidate # 4.843 * * * * [progress]: [ 7 / 123 ] simplifiying candidate # 4.843 * * * * [progress]: [ 8 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 9 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 10 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 11 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 12 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 13 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 14 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 15 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 16 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 17 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 18 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 19 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 20 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 21 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 22 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 23 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 24 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 25 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 26 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 27 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 28 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 29 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 30 / 123 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))> 4.844 * * * * [progress]: [ 31 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 32 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 33 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 34 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 35 / 123 ] simplifiying candidate # 4.844 * * * * [progress]: [ 36 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 37 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 38 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 39 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 40 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 41 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 42 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 43 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 44 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 45 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 46 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 47 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 48 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 49 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 50 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 51 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 52 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 53 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 54 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 55 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 56 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 57 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 58 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 59 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 60 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 61 / 123 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))))> 4.845 * * * * [progress]: [ 62 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 63 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 64 / 123 ] simplifiying candidate # 4.845 * * * * [progress]: [ 65 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 66 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 67 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 68 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 69 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 70 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 71 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 72 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 73 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 74 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 75 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 76 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 77 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 78 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 79 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 80 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 81 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 82 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 83 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 84 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 85 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 86 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 87 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 88 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 89 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 90 / 123 ] simplifiying candidate # 4.846 * * * * [progress]: [ 91 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 92 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 93 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 94 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 95 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 96 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 97 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 98 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 99 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 100 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 101 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 102 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 103 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 104 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 105 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 106 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 107 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 108 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 109 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 110 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 111 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 112 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 113 / 123 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))> 4.847 * * * * [progress]: [ 114 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 115 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 116 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 117 / 123 ] simplifiying candidate # 4.847 * * * * [progress]: [ 118 / 123 ] simplifiying candidate # 4.848 * * * * [progress]: [ 119 / 123 ] simplifiying candidate # 4.848 * * * * [progress]: [ 120 / 123 ] simplifiying candidate # 4.848 * * * * [progress]: [ 121 / 123 ] simplifiying candidate # 4.848 * * * * [progress]: [ 122 / 123 ] simplifiying candidate # 4.848 * * * * [progress]: [ 123 / 123 ] simplifiying candidate # 4.850 * [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))) 4.852 * * [simplify]: iteration 0: 172 enodes 4.903 * * [simplify]: iteration 1: 453 enodes 5.090 * * [simplify]: iteration 2: 1573 enodes 5.440 * * [simplify]: iteration 3: 2001 enodes 5.715 * * [simplify]: iteration complete: 2001 enodes 5.715 * * [simplify]: Extracting #0: cost 109 inf + 0 5.716 * * [simplify]: Extracting #1: cost 576 inf + 1 5.719 * * [simplify]: Extracting #2: cost 752 inf + 1177 5.726 * * [simplify]: Extracting #3: cost 538 inf + 48941 5.756 * * [simplify]: Extracting #4: cost 107 inf + 182364 5.810 * * [simplify]: Extracting #5: cost 2 inf + 220360 5.859 * * [simplify]: Extracting #6: cost 0 inf + 221019 5.910 * [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))) 5.919 * * * [progress]: adding candidates to table 6.967 * * [progress]: iteration 4 / 4 6.967 * * * [progress]: picking best candidate 6.976 * * * * [pick]: Picked # 6.976 * * * [progress]: localizing error 6.995 * * * [progress]: generating rewritten candidates 6.995 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 7.012 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 7.020 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 7.038 * * * [progress]: generating series expansions 7.038 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 7.038 * [backup-simplify]: Simplify (* (/ (sin x) x) (tan (/ x 2))) into (/ (* (sin x) (tan (* 1/2 x))) x) 7.038 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in (x) around 0 7.038 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 7.038 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 7.038 * [taylor]: Taking taylor expansion of (sin x) in x 7.038 * [taylor]: Taking taylor expansion of x in x 7.038 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify 1 into 1 7.038 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.038 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.038 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.038 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.038 * [taylor]: Taking taylor expansion of 1/2 in x 7.038 * [backup-simplify]: Simplify 1/2 into 1/2 7.038 * [taylor]: Taking taylor expansion of x in x 7.038 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify 1 into 1 7.039 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.040 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.040 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.040 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.040 * [taylor]: Taking taylor expansion of 1/2 in x 7.040 * [backup-simplify]: Simplify 1/2 into 1/2 7.040 * [taylor]: Taking taylor expansion of x in x 7.040 * [backup-simplify]: Simplify 0 into 0 7.040 * [backup-simplify]: Simplify 1 into 1 7.040 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.041 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.041 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.042 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.042 * [taylor]: Taking taylor expansion of x in x 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [backup-simplify]: Simplify 1 into 1 7.042 * [backup-simplify]: Simplify (* 0 1/2) into 0 7.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.043 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.043 * [backup-simplify]: Simplify (+ 0) into 0 7.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.044 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.045 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 7.045 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.045 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 7.045 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 7.045 * [taylor]: Taking taylor expansion of (sin x) in x 7.045 * [taylor]: Taking taylor expansion of x in x 7.045 * [backup-simplify]: Simplify 0 into 0 7.045 * [backup-simplify]: Simplify 1 into 1 7.045 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.045 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.045 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.045 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.045 * [taylor]: Taking taylor expansion of 1/2 in x 7.045 * [backup-simplify]: Simplify 1/2 into 1/2 7.045 * [taylor]: Taking taylor expansion of x in x 7.045 * [backup-simplify]: Simplify 0 into 0 7.045 * [backup-simplify]: Simplify 1 into 1 7.046 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.046 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.046 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.046 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.046 * [taylor]: Taking taylor expansion of 1/2 in x 7.046 * [backup-simplify]: Simplify 1/2 into 1/2 7.046 * [taylor]: Taking taylor expansion of x in x 7.046 * [backup-simplify]: Simplify 0 into 0 7.046 * [backup-simplify]: Simplify 1 into 1 7.047 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.047 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.048 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.048 * [taylor]: Taking taylor expansion of x in x 7.048 * [backup-simplify]: Simplify 0 into 0 7.048 * [backup-simplify]: Simplify 1 into 1 7.048 * [backup-simplify]: Simplify (* 0 1/2) into 0 7.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.049 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.050 * [backup-simplify]: Simplify (+ 0) into 0 7.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.051 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 7.051 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.051 * [backup-simplify]: Simplify 1/2 into 1/2 7.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.053 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 7.053 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 7.054 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 7.055 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.055 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 7.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.056 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.060 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.061 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 7.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 7.064 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 7.064 * [backup-simplify]: Simplify -1/24 into -1/24 7.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.067 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 7.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.070 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 7.071 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 7.072 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.073 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 7.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 7.074 * [backup-simplify]: Simplify 0 into 0 7.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.077 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.080 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 7.085 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 7.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 7.087 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 7.087 * [backup-simplify]: Simplify 1/720 into 1/720 7.088 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 7.088 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (tan (/ (/ 1 x) 2))) into (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 7.088 * [approximate]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 7.088 * [taylor]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 7.088 * [taylor]: Taking taylor expansion of x in x 7.088 * [backup-simplify]: Simplify 0 into 0 7.088 * [backup-simplify]: Simplify 1 into 1 7.088 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 7.088 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.088 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.088 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.088 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.088 * [taylor]: Taking taylor expansion of 1/2 in x 7.088 * [backup-simplify]: Simplify 1/2 into 1/2 7.088 * [taylor]: Taking taylor expansion of x in x 7.088 * [backup-simplify]: Simplify 0 into 0 7.088 * [backup-simplify]: Simplify 1 into 1 7.088 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.088 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.088 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.088 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.088 * [taylor]: Taking taylor expansion of 1/2 in x 7.088 * [backup-simplify]: Simplify 1/2 into 1/2 7.088 * [taylor]: Taking taylor expansion of x in x 7.088 * [backup-simplify]: Simplify 0 into 0 7.088 * [backup-simplify]: Simplify 1 into 1 7.089 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.089 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.089 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.089 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.089 * [taylor]: Taking taylor expansion of x in x 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 1 into 1 7.089 * [backup-simplify]: Simplify (/ 1 1) into 1 7.089 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.089 * [taylor]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 7.089 * [taylor]: Taking taylor expansion of x in x 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 1 into 1 7.089 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 7.089 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.089 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.089 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.089 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.089 * [taylor]: Taking taylor expansion of 1/2 in x 7.089 * [backup-simplify]: Simplify 1/2 into 1/2 7.089 * [taylor]: Taking taylor expansion of x in x 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 1 into 1 7.090 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.090 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.090 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.090 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.090 * [taylor]: Taking taylor expansion of 1/2 in x 7.090 * [backup-simplify]: Simplify 1/2 into 1/2 7.090 * [taylor]: Taking taylor expansion of x in x 7.090 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify 1 into 1 7.090 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.091 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.091 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.091 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.091 * [taylor]: Taking taylor expansion of x in x 7.091 * [backup-simplify]: Simplify 0 into 0 7.091 * [backup-simplify]: Simplify 1 into 1 7.091 * [backup-simplify]: Simplify (/ 1 1) into 1 7.091 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.092 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 7.092 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into 0 7.092 * [backup-simplify]: Simplify 0 into 0 7.092 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 7.092 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 7.093 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 7.093 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 7.094 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.094 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 7.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 7.095 * [backup-simplify]: Simplify 0 into 0 7.096 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.097 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 7.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 7.099 * [backup-simplify]: Simplify 0 into 0 7.099 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.100 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 7.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 7.102 * [backup-simplify]: Simplify 0 into 0 7.102 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.104 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 7.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 7.106 * [backup-simplify]: Simplify 0 into 0 7.107 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.109 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 7.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 7.112 * [backup-simplify]: Simplify 0 into 0 7.112 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.115 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 7.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))))) into 0 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) 7.118 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) into (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) 7.118 * [approximate]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in (x) around 0 7.118 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 7.118 * [taylor]: Taking taylor expansion of -1 in x 7.118 * [backup-simplify]: Simplify -1 into -1 7.118 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 7.118 * [taylor]: Taking taylor expansion of x in x 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify 1 into 1 7.118 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 7.119 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.119 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.119 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.119 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.119 * [taylor]: Taking taylor expansion of -1/2 in x 7.119 * [backup-simplify]: Simplify -1/2 into -1/2 7.119 * [taylor]: Taking taylor expansion of x in x 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 1 into 1 7.119 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.119 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.119 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.119 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.119 * [taylor]: Taking taylor expansion of -1/2 in x 7.119 * [backup-simplify]: Simplify -1/2 into -1/2 7.119 * [taylor]: Taking taylor expansion of x in x 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 1 into 1 7.120 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.120 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.120 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.120 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.120 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.120 * [taylor]: Taking taylor expansion of -1 in x 7.120 * [backup-simplify]: Simplify -1 into -1 7.120 * [taylor]: Taking taylor expansion of x in x 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify 1 into 1 7.121 * [backup-simplify]: Simplify (/ -1 1) into -1 7.121 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.121 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 7.121 * [taylor]: Taking taylor expansion of -1 in x 7.121 * [backup-simplify]: Simplify -1 into -1 7.121 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 7.121 * [taylor]: Taking taylor expansion of x in x 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 1 into 1 7.121 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 7.121 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.121 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.121 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.121 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.121 * [taylor]: Taking taylor expansion of -1/2 in x 7.121 * [backup-simplify]: Simplify -1/2 into -1/2 7.121 * [taylor]: Taking taylor expansion of x in x 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 1 into 1 7.122 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.122 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.122 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.122 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.122 * [taylor]: Taking taylor expansion of -1/2 in x 7.122 * [backup-simplify]: Simplify -1/2 into -1/2 7.122 * [taylor]: Taking taylor expansion of x in x 7.122 * [backup-simplify]: Simplify 0 into 0 7.122 * [backup-simplify]: Simplify 1 into 1 7.123 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.123 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.123 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.123 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.123 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.123 * [taylor]: Taking taylor expansion of -1 in x 7.123 * [backup-simplify]: Simplify -1 into -1 7.123 * [taylor]: Taking taylor expansion of x in x 7.123 * [backup-simplify]: Simplify 0 into 0 7.123 * [backup-simplify]: Simplify 1 into 1 7.123 * [backup-simplify]: Simplify (/ -1 1) into -1 7.124 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.124 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 7.124 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into 0 7.124 * [backup-simplify]: Simplify (* -1 0) into 0 7.124 * [backup-simplify]: Simplify 0 into 0 7.125 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 7.125 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 7.126 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 7.126 * [backup-simplify]: Simplify (+ (* -1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) 7.126 * [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)))) 7.127 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.127 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 7.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 7.129 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))) into 0 7.129 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.131 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 7.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 7.133 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))) into 0 7.133 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.135 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 7.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 7.138 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))))) into 0 7.138 * [backup-simplify]: Simplify 0 into 0 7.139 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.140 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 7.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 7.144 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 7.144 * [backup-simplify]: Simplify 0 into 0 7.144 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.146 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 7.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 7.151 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))))))) into 0 7.151 * [backup-simplify]: Simplify 0 into 0 7.151 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.154 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 7.157 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))))) into 0 7.160 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))))))) into 0 7.160 * [backup-simplify]: Simplify 0 into 0 7.160 * [backup-simplify]: Simplify (* (- (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) 7.160 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 7.160 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 7.160 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 7.160 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 7.160 * [taylor]: Taking taylor expansion of (sin x) in x 7.160 * [taylor]: Taking taylor expansion of x in x 7.160 * [backup-simplify]: Simplify 0 into 0 7.160 * [backup-simplify]: Simplify 1 into 1 7.161 * [taylor]: Taking taylor expansion of x in x 7.161 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify 1 into 1 7.161 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.162 * [backup-simplify]: Simplify (/ 1 1) into 1 7.162 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 7.162 * [taylor]: Taking taylor expansion of (sin x) in x 7.162 * [taylor]: Taking taylor expansion of x in x 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify 1 into 1 7.162 * [taylor]: Taking taylor expansion of x in x 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify 1 into 1 7.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.164 * [backup-simplify]: Simplify (/ 1 1) into 1 7.164 * [backup-simplify]: Simplify 1 into 1 7.165 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 7.166 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.168 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 7.169 * [backup-simplify]: Simplify -1/6 into -1/6 7.170 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 7.171 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 7.176 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 7.176 * [backup-simplify]: Simplify 1/120 into 1/120 7.177 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) 7.177 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 7.177 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 7.177 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 7.177 * [taylor]: Taking taylor expansion of x in x 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify 1 into 1 7.177 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.177 * [taylor]: Taking taylor expansion of x in x 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify 1 into 1 7.178 * [backup-simplify]: Simplify (/ 1 1) into 1 7.178 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.178 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 7.178 * [taylor]: Taking taylor expansion of x in x 7.178 * [backup-simplify]: Simplify 0 into 0 7.178 * [backup-simplify]: Simplify 1 into 1 7.178 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.178 * [taylor]: Taking taylor expansion of x in x 7.178 * [backup-simplify]: Simplify 0 into 0 7.178 * [backup-simplify]: Simplify 1 into 1 7.178 * [backup-simplify]: Simplify (/ 1 1) into 1 7.178 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.179 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 7.179 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 7.181 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 7.182 * [backup-simplify]: Simplify 0 into 0 7.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 7.183 * [backup-simplify]: Simplify 0 into 0 7.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 7.185 * [backup-simplify]: Simplify 0 into 0 7.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 7.187 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 7.189 * [backup-simplify]: Simplify 0 into 0 7.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 7.192 * [backup-simplify]: Simplify 0 into 0 7.192 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 7.192 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 7.192 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 7.192 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 7.192 * [taylor]: Taking taylor expansion of -1 in x 7.192 * [backup-simplify]: Simplify -1 into -1 7.192 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 7.192 * [taylor]: Taking taylor expansion of x in x 7.192 * [backup-simplify]: Simplify 0 into 0 7.192 * [backup-simplify]: Simplify 1 into 1 7.192 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.192 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.193 * [taylor]: Taking taylor expansion of -1 in x 7.193 * [backup-simplify]: Simplify -1 into -1 7.193 * [taylor]: Taking taylor expansion of x in x 7.193 * [backup-simplify]: Simplify 0 into 0 7.193 * [backup-simplify]: Simplify 1 into 1 7.193 * [backup-simplify]: Simplify (/ -1 1) into -1 7.193 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.193 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 7.193 * [taylor]: Taking taylor expansion of -1 in x 7.193 * [backup-simplify]: Simplify -1 into -1 7.193 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 7.193 * [taylor]: Taking taylor expansion of x in x 7.193 * [backup-simplify]: Simplify 0 into 0 7.193 * [backup-simplify]: Simplify 1 into 1 7.193 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.193 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.193 * [taylor]: Taking taylor expansion of -1 in x 7.193 * [backup-simplify]: Simplify -1 into -1 7.194 * [taylor]: Taking taylor expansion of x in x 7.194 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify 1 into 1 7.194 * [backup-simplify]: Simplify (/ -1 1) into -1 7.194 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.194 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 7.195 * [backup-simplify]: Simplify (* -1 0) into 0 7.195 * [backup-simplify]: Simplify 0 into 0 7.195 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 7.196 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 7.196 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 7.197 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 7.197 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 7.197 * [backup-simplify]: Simplify 0 into 0 7.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 7.200 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 7.200 * [backup-simplify]: Simplify 0 into 0 7.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 7.203 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 7.203 * [backup-simplify]: Simplify 0 into 0 7.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 7.207 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 7.207 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 7.212 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 7.212 * [backup-simplify]: Simplify 0 into 0 7.214 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 7.217 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 7.217 * [backup-simplify]: Simplify 0 into 0 7.217 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 7.217 * * * * [progress]: [ 3 / 3 ] generating series at (2) 7.217 * [backup-simplify]: Simplify (/ (* (/ (sin x) x) (tan (/ x 2))) x) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 7.217 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 7.217 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 7.217 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 7.217 * [taylor]: Taking taylor expansion of (sin x) in x 7.217 * [taylor]: Taking taylor expansion of x in x 7.217 * [backup-simplify]: Simplify 0 into 0 7.217 * [backup-simplify]: Simplify 1 into 1 7.217 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.218 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.218 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.218 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.218 * [taylor]: Taking taylor expansion of 1/2 in x 7.218 * [backup-simplify]: Simplify 1/2 into 1/2 7.218 * [taylor]: Taking taylor expansion of x in x 7.218 * [backup-simplify]: Simplify 0 into 0 7.218 * [backup-simplify]: Simplify 1 into 1 7.218 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.219 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.219 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.219 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.219 * [taylor]: Taking taylor expansion of 1/2 in x 7.219 * [backup-simplify]: Simplify 1/2 into 1/2 7.219 * [taylor]: Taking taylor expansion of x in x 7.219 * [backup-simplify]: Simplify 0 into 0 7.219 * [backup-simplify]: Simplify 1 into 1 7.219 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.220 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.221 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.221 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.221 * [taylor]: Taking taylor expansion of x in x 7.221 * [backup-simplify]: Simplify 0 into 0 7.221 * [backup-simplify]: Simplify 1 into 1 7.222 * [backup-simplify]: Simplify (* 0 1/2) into 0 7.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.223 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.224 * [backup-simplify]: Simplify (+ 0) into 0 7.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.226 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 7.226 * [backup-simplify]: Simplify (* 1 1) into 1 7.227 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.227 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 7.227 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 7.227 * [taylor]: Taking taylor expansion of (sin x) in x 7.227 * [taylor]: Taking taylor expansion of x in x 7.227 * [backup-simplify]: Simplify 0 into 0 7.227 * [backup-simplify]: Simplify 1 into 1 7.227 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 7.227 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 7.227 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 7.227 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.227 * [taylor]: Taking taylor expansion of 1/2 in x 7.227 * [backup-simplify]: Simplify 1/2 into 1/2 7.227 * [taylor]: Taking taylor expansion of x in x 7.227 * [backup-simplify]: Simplify 0 into 0 7.227 * [backup-simplify]: Simplify 1 into 1 7.227 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.228 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.228 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 7.228 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.228 * [taylor]: Taking taylor expansion of 1/2 in x 7.228 * [backup-simplify]: Simplify 1/2 into 1/2 7.228 * [taylor]: Taking taylor expansion of x in x 7.228 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify 1 into 1 7.229 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.230 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.230 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 7.231 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.231 * [taylor]: Taking taylor expansion of x in x 7.231 * [backup-simplify]: Simplify 0 into 0 7.231 * [backup-simplify]: Simplify 1 into 1 7.231 * [backup-simplify]: Simplify (* 0 1/2) into 0 7.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.233 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.234 * [backup-simplify]: Simplify (+ 0) into 0 7.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.235 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.236 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 7.236 * [backup-simplify]: Simplify (* 1 1) into 1 7.237 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.237 * [backup-simplify]: Simplify 1/2 into 1/2 7.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 7.241 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 7.242 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 7.243 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.244 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 7.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.246 * [backup-simplify]: Simplify 0 into 0 7.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.249 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.251 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 7.254 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 7.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.258 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 7.258 * [backup-simplify]: Simplify -1/24 into -1/24 7.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.263 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 7.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 7.269 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 7.271 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.273 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 7.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 7.276 * [backup-simplify]: Simplify 0 into 0 7.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.282 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.286 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 7.291 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 7.293 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 7.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.294 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 7.294 * [backup-simplify]: Simplify 1/720 into 1/720 7.295 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 7.295 * [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)))) 7.295 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 7.295 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 7.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.295 * [taylor]: Taking taylor expansion of x in x 7.295 * [backup-simplify]: Simplify 0 into 0 7.295 * [backup-simplify]: Simplify 1 into 1 7.295 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 7.295 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.295 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.295 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.295 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.295 * [taylor]: Taking taylor expansion of 1/2 in x 7.295 * [backup-simplify]: Simplify 1/2 into 1/2 7.295 * [taylor]: Taking taylor expansion of x in x 7.295 * [backup-simplify]: Simplify 0 into 0 7.295 * [backup-simplify]: Simplify 1 into 1 7.295 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.295 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.295 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.295 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.295 * [taylor]: Taking taylor expansion of 1/2 in x 7.295 * [backup-simplify]: Simplify 1/2 into 1/2 7.295 * [taylor]: Taking taylor expansion of x in x 7.295 * [backup-simplify]: Simplify 0 into 0 7.295 * [backup-simplify]: Simplify 1 into 1 7.296 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.296 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.296 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.296 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.296 * [taylor]: Taking taylor expansion of x in x 7.296 * [backup-simplify]: Simplify 0 into 0 7.296 * [backup-simplify]: Simplify 1 into 1 7.296 * [backup-simplify]: Simplify (/ 1 1) into 1 7.296 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.296 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 7.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.296 * [taylor]: Taking taylor expansion of x in x 7.296 * [backup-simplify]: Simplify 0 into 0 7.296 * [backup-simplify]: Simplify 1 into 1 7.296 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 7.296 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 7.296 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.296 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 7.296 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.296 * [taylor]: Taking taylor expansion of 1/2 in x 7.296 * [backup-simplify]: Simplify 1/2 into 1/2 7.296 * [taylor]: Taking taylor expansion of x in x 7.296 * [backup-simplify]: Simplify 0 into 0 7.297 * [backup-simplify]: Simplify 1 into 1 7.297 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.297 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 7.297 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 7.297 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 7.297 * [taylor]: Taking taylor expansion of 1/2 in x 7.297 * [backup-simplify]: Simplify 1/2 into 1/2 7.297 * [taylor]: Taking taylor expansion of x in x 7.297 * [backup-simplify]: Simplify 0 into 0 7.297 * [backup-simplify]: Simplify 1 into 1 7.297 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.297 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 7.297 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 7.298 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.298 * [taylor]: Taking taylor expansion of x in x 7.298 * [backup-simplify]: Simplify 0 into 0 7.298 * [backup-simplify]: Simplify 1 into 1 7.298 * [backup-simplify]: Simplify (/ 1 1) into 1 7.298 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.299 * [backup-simplify]: Simplify (* 1 1) into 1 7.299 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 7.299 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 7.299 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 7.299 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 7.300 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 7.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 7.301 * [backup-simplify]: Simplify 0 into 0 7.302 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.302 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 7.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 7.305 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.306 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 7.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 7.308 * [backup-simplify]: Simplify 0 into 0 7.309 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.310 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 7.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 7.313 * [backup-simplify]: Simplify 0 into 0 7.313 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.315 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 7.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 7.320 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 7.322 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 7.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 7.327 * [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)))) 7.327 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 7.327 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 7.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.327 * [taylor]: Taking taylor expansion of x in x 7.327 * [backup-simplify]: Simplify 0 into 0 7.327 * [backup-simplify]: Simplify 1 into 1 7.327 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 7.327 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.327 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.327 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.327 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.327 * [taylor]: Taking taylor expansion of -1/2 in x 7.327 * [backup-simplify]: Simplify -1/2 into -1/2 7.327 * [taylor]: Taking taylor expansion of x in x 7.327 * [backup-simplify]: Simplify 0 into 0 7.327 * [backup-simplify]: Simplify 1 into 1 7.328 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.328 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.328 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.328 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.328 * [taylor]: Taking taylor expansion of -1/2 in x 7.328 * [backup-simplify]: Simplify -1/2 into -1/2 7.328 * [taylor]: Taking taylor expansion of x in x 7.328 * [backup-simplify]: Simplify 0 into 0 7.328 * [backup-simplify]: Simplify 1 into 1 7.328 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.328 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.329 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.329 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.329 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.329 * [taylor]: Taking taylor expansion of -1 in x 7.329 * [backup-simplify]: Simplify -1 into -1 7.329 * [taylor]: Taking taylor expansion of x in x 7.329 * [backup-simplify]: Simplify 0 into 0 7.329 * [backup-simplify]: Simplify 1 into 1 7.329 * [backup-simplify]: Simplify (/ -1 1) into -1 7.329 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.329 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 7.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.329 * [taylor]: Taking taylor expansion of x in x 7.329 * [backup-simplify]: Simplify 0 into 0 7.329 * [backup-simplify]: Simplify 1 into 1 7.329 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 7.329 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 7.329 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.329 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 7.330 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.330 * [taylor]: Taking taylor expansion of -1/2 in x 7.330 * [backup-simplify]: Simplify -1/2 into -1/2 7.330 * [taylor]: Taking taylor expansion of x in x 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 1 into 1 7.330 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.330 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 7.330 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 7.330 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.330 * [taylor]: Taking taylor expansion of -1/2 in x 7.330 * [backup-simplify]: Simplify -1/2 into -1/2 7.330 * [taylor]: Taking taylor expansion of x in x 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 1 into 1 7.331 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.331 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 7.331 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 7.331 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.331 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.331 * [taylor]: Taking taylor expansion of -1 in x 7.331 * [backup-simplify]: Simplify -1 into -1 7.331 * [taylor]: Taking taylor expansion of x in x 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 1 into 1 7.332 * [backup-simplify]: Simplify (/ -1 1) into -1 7.332 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.332 * [backup-simplify]: Simplify (* 1 1) into 1 7.332 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 7.332 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 7.333 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 7.333 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 7.333 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 7.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 7.334 * [backup-simplify]: Simplify 0 into 0 7.335 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.335 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 7.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 7.337 * [backup-simplify]: Simplify 0 into 0 7.337 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.338 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 7.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 7.341 * [backup-simplify]: Simplify 0 into 0 7.341 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.342 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 7.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 7.345 * [backup-simplify]: Simplify 0 into 0 7.345 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.347 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 7.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 7.350 * [backup-simplify]: Simplify 0 into 0 7.351 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 7.353 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 7.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 7.356 * [backup-simplify]: Simplify 0 into 0 7.357 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 7.357 * * * [progress]: simplifying candidates 7.357 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 7.357 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 7.357 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 7.357 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 7.357 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 7.357 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 7.357 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 7.357 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 7.357 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 7.357 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 7.357 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 7.358 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 7.358 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 7.358 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 7.358 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 7.358 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 7.358 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 7.358 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 7.358 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 7.358 * * * * [progress]: [ 20 / 105 ] simplifiying candidate # 7.358 * * * * [progress]: [ 21 / 105 ] simplifiying candidate # 7.358 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 7.358 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 7.358 * * * * [progress]: [ 24 / 105 ] simplifiying candidate # 7.358 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 7.358 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 7.358 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 7.359 * * * * [progress]: [ 28 / 105 ] simplifiying candidate # 7.359 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 7.359 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 7.359 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 7.359 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 7.359 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 7.359 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 7.359 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 7.359 * * * * [progress]: [ 36 / 105 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (tan (/ x 2))))) x))> 7.359 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 7.359 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 7.359 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 7.359 * * * * [progress]: [ 40 / 105 ] simplifiying candidate # 7.359 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 7.359 * * * * [progress]: [ 42 / 105 ] simplifiying candidate # 7.359 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 7.359 * * * * [progress]: [ 44 / 105 ] simplifiying candidate # 7.359 * * * * [progress]: [ 45 / 105 ] simplifiying candidate # 7.360 * * * * [progress]: [ 46 / 105 ] simplifiying candidate # 7.360 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 7.360 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 7.360 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 7.360 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 7.360 * * * * [progress]: [ 51 / 105 ] simplifiying candidate # 7.360 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 7.360 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 7.360 * * * * [progress]: [ 54 / 105 ] simplifiying candidate # 7.360 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 7.360 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 7.360 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 7.360 * * * * [progress]: [ 58 / 105 ] simplifiying candidate # 7.360 * * * * [progress]: [ 59 / 105 ] simplifiying candidate # 7.360 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 7.360 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 7.360 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 7.361 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 7.361 * * * * [progress]: [ 64 / 105 ] simplifiying candidate # 7.361 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 7.361 * * * * [progress]: [ 66 / 105 ] simplifiying candidate # 7.361 * * * * [progress]: [ 67 / 105 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (tan (/ x 2))) x))> 7.361 * * * * [progress]: [ 68 / 105 ] simplifiying candidate # 7.361 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 7.361 * * * * [progress]: [ 70 / 105 ] simplifiying candidate # 7.361 * * * * [progress]: [ 71 / 105 ] simplifiying candidate # 7.361 * * * * [progress]: [ 72 / 105 ] simplifiying candidate # 7.361 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 7.361 * * * * [progress]: [ 74 / 105 ] simplifiying candidate # 7.361 * * * * [progress]: [ 75 / 105 ] simplifiying candidate # 7.361 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 7.361 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 7.361 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 7.361 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 7.362 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 7.362 * * * * [progress]: [ 81 / 105 ] simplifiying candidate # 7.362 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 7.362 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 7.362 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 7.362 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 7.362 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 7.362 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 7.362 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 7.362 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 7.362 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 7.362 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 7.362 * * * * [progress]: [ 92 / 105 ] simplifiying candidate # 7.362 * * * * [progress]: [ 93 / 105 ] simplifiying candidate # 7.362 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 7.362 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 7.362 * * * * [progress]: [ 96 / 105 ] simplifiying candidate #real (real->posit16 (/ (* (/ (sin x) x) (tan (/ x 2))) x))))> 7.362 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 7.363 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 7.363 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 7.363 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 7.363 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 7.363 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 7.363 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 7.363 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 7.363 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 7.364 * [simplify]: Simplifying: (expm1 (* (/ (sin x) x) (tan (/ x 2)))) (log1p (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2))) (+ (- (log (sin x)) (log x)) (log (tan (/ x 2)))) (+ (log (/ (sin x) x)) (log (tan (/ x 2)))) (log (* (/ (sin x) x) (tan (/ x 2)))) (exp (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (cbrt (* (/ (sin x) x) (tan (/ x 2)))) (cbrt (* (/ (sin x) x) (tan (/ x 2))))) (cbrt (* (/ (sin x) x) (tan (/ x 2)))) (* (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2)))) (sqrt (* (/ (sin x) x) (tan (/ x 2)))) (sqrt (* (/ (sin x) x) (tan (/ x 2)))) (* (sin x) (sin (/ x 2))) (* x (cos (/ x 2))) (* (sqrt (/ (sin x) x)) (sqrt (tan (/ x 2)))) (* (sqrt (/ (sin x) x)) (sqrt (tan (/ x 2)))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (sin x) x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (* (/ (sin x) x) (sqrt (tan (/ x 2)))) (* (/ (sin x) x) 1) (* (cbrt (/ (sin x) x)) (tan (/ x 2))) (* (sqrt (/ (sin x) x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) (cbrt x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) (sqrt x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) x) (tan (/ x 2))) (* (/ (sqrt (sin x)) (cbrt x)) (tan (/ x 2))) (* (/ (sqrt (sin x)) (sqrt x)) (tan (/ x 2))) (* (/ (sqrt (sin x)) x) (tan (/ x 2))) (* (/ (sin x) (cbrt x)) (tan (/ x 2))) (* (/ (sin x) (sqrt x)) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))) (* (/ 1 x) (tan (/ x 2))) (* (/ (sin x) x) (sin (/ x 2))) (* (sin x) (tan (/ x 2))) (real->posit16 (* (/ (sin x) x) (tan (/ x 2)))) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (- (log (sin x)) (log x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) (/ 1 1) (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (/ (sin x) 1) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (log1p (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (- (+ (- (log (sin x)) (log x)) (log (tan (/ x 2)))) (log x)) (- (+ (log (/ (sin x) x)) (log (tan (/ x 2)))) (log x)) (- (log (* (/ (sin x) x) (tan (/ x 2)))) (log x)) (log (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (exp (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* x x) x)) (/ (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* x x) x)) (/ (* (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2)))) (* (* x x) x)) (* (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x))) (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (* (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (sqrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (sqrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (- (* (/ (sin x) x) (tan (/ x 2)))) (- x) (/ (/ (sin x) x) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ (/ (sin x) x) (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) (/ (/ (sin x) x) 1) (/ (tan (/ x 2)) x) (/ 1 x) (/ x (* (/ (sin x) x) (tan (/ x 2)))) (/ (* (/ (sin x) x) (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (* (/ (sin x) x) (tan (/ x 2))) (sqrt x)) (/ (* (/ (sin x) x) (tan (/ x 2))) 1) (/ x (tan (/ x 2))) (* x (* x (cos (/ x 2)))) (* x (cos (/ x 2))) (* x x) (real->posit16 (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 7.367 * * [simplify]: iteration 0: 160 enodes 7.414 * * [simplify]: iteration 1: 381 enodes 7.582 * * [simplify]: iteration 2: 1208 enodes 7.865 * * [simplify]: iteration 3: 2006 enodes 8.127 * * [simplify]: iteration complete: 2006 enodes 8.127 * * [simplify]: Extracting #0: cost 89 inf + 0 8.128 * * [simplify]: Extracting #1: cost 492 inf + 1 8.130 * * [simplify]: Extracting #2: cost 765 inf + 5335 8.136 * * [simplify]: Extracting #3: cost 591 inf + 41646 8.152 * * [simplify]: Extracting #4: cost 204 inf + 151558 8.184 * * [simplify]: Extracting #5: cost 6 inf + 227608 8.236 * * [simplify]: Extracting #6: cost 0 inf + 230081 8.288 * [simplify]: Simplified to: (expm1 (* (/ (sin x) x) (tan (/ x 2)))) (log1p (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2))) (log (* (/ (sin x) x) (tan (/ x 2)))) (log (* (/ (sin x) x) (tan (/ x 2)))) (log (* (/ (sin x) x) (tan (/ x 2)))) (exp (* (/ (sin x) x) (tan (/ x 2)))) (* (* (/ (sin x) x) (tan (/ x 2))) (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))))) (* (* (/ (sin x) x) (tan (/ x 2))) (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))))) (* (cbrt (* (/ (sin x) x) (tan (/ x 2)))) (cbrt (* (/ (sin x) x) (tan (/ x 2))))) (cbrt (* (/ (sin x) x) (tan (/ x 2)))) (* (* (/ (sin x) x) (tan (/ x 2))) (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))))) (sqrt (* (/ (sin x) x) (tan (/ x 2)))) (sqrt (* (/ (sin x) x) (tan (/ x 2)))) (* (sin x) (sin (/ x 2))) (* (cos (/ x 2)) x) (* (sqrt (tan (/ x 2))) (sqrt (/ (sin x) x))) (* (sqrt (tan (/ x 2))) (sqrt (/ (sin x) x))) (/ (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) (sqrt x)) (/ (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) (sqrt x)) (* (cbrt (tan (/ x 2))) (* (/ (sin x) x) (cbrt (tan (/ x 2))))) (/ (* (sqrt (tan (/ x 2))) (sin x)) x) (/ (sin x) x) (* (cbrt (/ (sin x) x)) (tan (/ x 2))) (* (tan (/ x 2)) (sqrt (/ (sin x) x))) (* (tan (/ x 2)) (/ (cbrt (sin x)) (cbrt x))) (* (/ (cbrt (sin x)) (sqrt x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) x) (tan (/ x 2))) (* (/ (sqrt (sin x)) (cbrt x)) (tan (/ x 2))) (* (tan (/ x 2)) (/ (sqrt (sin x)) (sqrt x))) (/ (sqrt (sin x)) (/ x (tan (/ x 2)))) (* (/ (sin x) (cbrt x)) (tan (/ x 2))) (* (/ (sin x) (sqrt x)) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))) (/ (tan (/ x 2)) x) (/ (sin x) (/ x (sin (/ x 2)))) (* (tan (/ x 2)) (sin x)) (real->posit16 (* (/ (sin x) x) (tan (/ x 2)))) (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 (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (log1p (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (log (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (log (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (log (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (log (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (exp (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (* (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (* (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (* (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (* (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x))) (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (* (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (sqrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (sqrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (- (* (/ (sin x) x) (tan (/ x 2)))) (- x) (/ (/ (/ (sin x) x) (cbrt x)) (cbrt x)) (/ (tan (/ x 2)) (cbrt x)) (/ (/ (sin x) x) (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) (/ (sin x) x) (/ (tan (/ x 2)) x) (/ 1 x) (/ (/ x (/ (sin x) x)) (tan (/ x 2))) (* (/ (/ (/ (sin x) x) (cbrt x)) (cbrt x)) (tan (/ x 2))) (* (/ (/ (sin x) x) (sqrt x)) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))) (/ x (tan (/ x 2))) (* (cos (/ x 2)) (* x x)) (* (cos (/ x 2)) x) (* x x) (real->posit16 (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (fma -1/24 (* (* x x) x) (fma (pow x 5) 1/720 (* 1/2 x))) (* (/ (sin (* 1/2 x)) x) (/ (sin x) (cos (* 1/2 x)))) (* (/ (sin (* 1/2 x)) x) (/ (sin x) (cos (* 1/2 x)))) (fma (* x x) -1/6 (fma 1/120 (* (* x x) (* x x)) 1)) (/ (sin x) x) (/ (sin x) x) (fma -1/24 (* x x) (fma 1/720 (* (* x x) (* x x)) 1/2)) (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))) (/ (* (sin x) (/ (sin (* 1/2 x)) (* x x))) (cos (* 1/2 x))) 8.295 * * * [progress]: adding candidates to table 9.073 * [progress]: [Phase 3 of 3] Extracting. 9.073 * * [regime]: Finding splitpoints for: (# # # #) 9.075 * * * [regime-changes]: Trying 1 branch expressions: (x) 9.075 * * * * [regimes]: Trying to branch on x from (# # # #) 9.106 * * * [regime]: Found split indices: #