17.547 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.107 * * * [progress]: [2/2] Setting up program. 0.110 * [progress]: [Phase 2 of 3] Improving. 0.110 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.110 * [simplify]: Simplifying: (/ (- 1 (cos x)) (* x x)) 0.110 * * [simplify]: iteration 0: 6 enodes 0.112 * * [simplify]: iteration 1: 15 enodes 0.114 * * [simplify]: iteration 2: 23 enodes 0.118 * * [simplify]: iteration 3: 28 enodes 0.121 * * [simplify]: iteration 4: 30 enodes 0.125 * * [simplify]: iteration complete: 30 enodes 0.125 * * [simplify]: Extracting #0: cost 1 inf + 0 0.125 * * [simplify]: Extracting #1: cost 8 inf + 0 0.125 * * [simplify]: Extracting #2: cost 12 inf + 42 0.125 * * [simplify]: Extracting #3: cost 7 inf + 447 0.125 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.126 * [simplify]: Simplified to: (/ (- 1 (cos x)) (* x x)) 0.126 * * [progress]: iteration 1 / 4 0.126 * * * [progress]: picking best candidate 0.128 * * * * [pick]: Picked # 0.128 * * * [progress]: localizing error 0.141 * * * [progress]: generating rewritten candidates 0.141 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.173 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.180 * * * [progress]: generating series expansions 0.180 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.184 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2)) 0.184 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0 0.185 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.185 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.185 * [taylor]: Taking taylor expansion of 1 in x 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of (cos x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (- 1) into -1 0.187 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.188 * [backup-simplify]: Simplify (+ 0) into 0 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.189 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.189 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.190 * [backup-simplify]: Simplify (* 1 1) into 1 0.190 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.190 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.190 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.190 * [taylor]: Taking taylor expansion of 1 in x 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of (cos x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (- 1) into -1 0.191 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.191 * [backup-simplify]: Simplify (+ 0) into 0 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.192 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.192 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.193 * [backup-simplify]: Simplify (* 1 1) into 1 0.193 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.193 * [backup-simplify]: Simplify 1/2 into 1/2 0.194 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.195 * [backup-simplify]: Simplify (- 0) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.197 * [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 0.198 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.198 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.199 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.199 * [backup-simplify]: Simplify -1/24 into -1/24 0.201 * [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 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.205 * [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 0.206 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.206 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.208 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.208 * [backup-simplify]: Simplify 1/720 into 1/720 0.209 * [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))) 0.209 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.209 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 0.209 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.209 * [taylor]: Taking taylor expansion of 1 in x 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.210 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.210 * [taylor]: Taking taylor expansion of 1 in x 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.211 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.211 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.211 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.211 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.211 * [backup-simplify]: Simplify (- 0) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.224 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.224 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.224 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.224 * [taylor]: Taking taylor expansion of 1 in x 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.224 * [taylor]: Taking taylor expansion of -1 in x 0.224 * [backup-simplify]: Simplify -1 into -1 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (/ -1 1) into -1 0.225 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.225 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.225 * [taylor]: Taking taylor expansion of 1 in x 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.225 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.225 * [taylor]: Taking taylor expansion of -1 in x 0.225 * [backup-simplify]: Simplify -1 into -1 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (/ -1 1) into -1 0.225 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.225 * [backup-simplify]: Simplify (* 1 1) into 1 0.225 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.226 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.226 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.226 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 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 1)))) into 0 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0 0.238 * [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 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.238 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.238 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.238 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.238 * [taylor]: Taking taylor expansion of 1 in x 0.238 * [backup-simplify]: Simplify 1 into 1 0.239 * [taylor]: Taking taylor expansion of (cos x) 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 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 x) 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 * [backup-simplify]: Simplify (- 1) into -1 0.239 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify (+ 0) into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.241 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.241 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.241 * [backup-simplify]: Simplify 1/2 into 1/2 0.249 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.252 * [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 0.252 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.252 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.252 * [backup-simplify]: Simplify -1/24 into -1/24 0.253 * [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 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.257 * [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 0.257 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.257 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.257 * [backup-simplify]: Simplify 1/720 into 1/720 0.258 * [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))) 0.258 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.258 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.258 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.258 * [taylor]: Taking taylor expansion of 1 in x 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.258 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.258 * [taylor]: Taking taylor expansion of 1 in x 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.259 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.259 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.259 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.262 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.262 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.262 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.262 * [taylor]: Taking taylor expansion of 1 in x 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.262 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.262 * [taylor]: Taking taylor expansion of -1 in x 0.262 * [backup-simplify]: Simplify -1 into -1 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (/ -1 1) into -1 0.262 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.262 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.262 * [taylor]: Taking taylor expansion of 1 in x 0.262 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.263 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.263 * [taylor]: Taking taylor expansion of -1 in x 0.263 * [backup-simplify]: Simplify -1 into -1 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ -1 1) into -1 0.263 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.263 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.263 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.263 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.266 * * * [progress]: simplifying candidates 0.266 * * * * [progress]: [ 1 / 69 ] simplifiying candidate # 0.266 * * * * [progress]: [ 2 / 69 ] simplifiying candidate # 0.266 * * * * [progress]: [ 3 / 69 ] simplifiying candidate # 0.266 * * * * [progress]: [ 4 / 69 ] simplifiying candidate # 0.266 * * * * [progress]: [ 5 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 6 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 7 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 8 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 9 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 10 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 11 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 12 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 13 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 14 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 15 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 16 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 17 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 18 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 19 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 20 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 21 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 22 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 23 / 69 ] simplifiying candidate # 0.267 * * * * [progress]: [ 24 / 69 ] simplifiying candidate # 0.268 * * * * [progress]: [ 25 / 69 ] simplifiying candidate # 0.268 * * * * [progress]: [ 26 / 69 ] simplifiying candidate # 0.268 * * * * [progress]: [ 27 / 69 ] simplifiying candidate # 0.268 * * * * [progress]: [ 28 / 69 ] simplifiying candidate # 0.268 * * * * [progress]: [ 29 / 69 ] simplifiying candidate # 0.268 * * * * [progress]: [ 30 / 69 ] simplifiying candidate # 0.268 * * * * [progress]: [ 31 / 69 ] simplifiying candidate # 0.268 * * * * [progress]: [ 32 / 69 ] simplifiying candidate # 0.268 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.268 * * * * [progress]: [ 34 / 69 ] simplifiying candidate # 0.268 * * * * [progress]: [ 35 / 69 ] simplifiying candidate # 0.268 * * * * [progress]: [ 36 / 69 ] simplifiying candidate # 0.268 * * * * [progress]: [ 37 / 69 ] simplifiying candidate # 0.268 * * * * [progress]: [ 38 / 69 ] simplifiying candidate # 0.268 * * * * [progress]: [ 39 / 69 ] simplifiying candidate # 0.268 * * * * [progress]: [ 40 / 69 ] simplifiying candidate # 0.268 * * * * [progress]: [ 41 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 42 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 43 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 44 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 45 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 46 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 47 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 48 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 49 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 50 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 51 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 52 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 53 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 54 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 55 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 56 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 57 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 58 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 59 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 60 / 69 ] simplifiying candidate # 0.269 * * * * [progress]: [ 61 / 69 ] simplifiying candidate # 0.270 * * * * [progress]: [ 62 / 69 ] simplifiying candidate # 0.270 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.270 * * * * [progress]: [ 64 / 69 ] simplifiying candidate # 0.270 * * * * [progress]: [ 65 / 69 ] simplifiying candidate # 0.270 * * * * [progress]: [ 66 / 69 ] simplifiying candidate # 0.270 * * * * [progress]: [ 67 / 69 ] simplifiying candidate # 0.270 * * * * [progress]: [ 68 / 69 ] simplifiying candidate # 0.270 * * * * [progress]: [ 69 / 69 ] simplifiying candidate # 0.271 * [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)) 0.273 * * [simplify]: iteration 0: 121 enodes 0.307 * * [simplify]: iteration 1: 295 enodes 0.403 * * [simplify]: iteration 2: 867 enodes 0.570 * * [simplify]: iteration complete: 2048 enodes 0.570 * * [simplify]: Extracting #0: cost 48 inf + 0 0.571 * * [simplify]: Extracting #1: cost 408 inf + 0 0.574 * * [simplify]: Extracting #2: cost 666 inf + 12127 0.586 * * [simplify]: Extracting #3: cost 302 inf + 94686 0.610 * * [simplify]: Extracting #4: cost 3 inf + 155448 0.638 * * [simplify]: Extracting #5: cost 0 inf + 155765 0.662 * * [simplify]: Extracting #6: cost 0 inf + 155365 0.686 * [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)) 0.689 * * * [progress]: adding candidates to table 0.852 * * [progress]: iteration 2 / 4 0.852 * * * [progress]: picking best candidate 0.871 * * * * [pick]: Picked # 0.871 * * * [progress]: localizing error 0.893 * * * [progress]: generating rewritten candidates 0.894 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.916 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.921 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.935 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.955 * * * [progress]: generating series expansions 0.955 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.956 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 0.956 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 0.956 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 0.956 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 0.956 * [taylor]: Taking taylor expansion of (sin x) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 1 into 1 0.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.957 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 0.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 0.957 * [taylor]: Taking taylor expansion of (cos x) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [taylor]: Taking taylor expansion of 1 in x 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [backup-simplify]: Simplify (* 1 1) into 1 0.957 * [backup-simplify]: Simplify (* 1 1) into 1 0.958 * [backup-simplify]: Simplify (+ 1 1) into 2 0.958 * [backup-simplify]: Simplify (* 1 2) into 2 0.958 * [backup-simplify]: Simplify (/ 1 2) into 1/2 0.958 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 0.958 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 0.958 * [taylor]: Taking taylor expansion of (sin x) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.959 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 0.959 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 0.959 * [taylor]: Taking taylor expansion of (cos x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [taylor]: Taking taylor expansion of 1 in x 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (* 1 1) into 1 0.959 * [backup-simplify]: Simplify (* 1 1) into 1 0.960 * [backup-simplify]: Simplify (+ 1 1) into 2 0.960 * [backup-simplify]: Simplify (* 1 2) into 2 0.960 * [backup-simplify]: Simplify (/ 1 2) into 1/2 0.960 * [backup-simplify]: Simplify 1/2 into 1/2 0.961 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.961 * [backup-simplify]: Simplify (+ 0) into 0 0.962 * [backup-simplify]: Simplify (+ 0 0) into 0 0.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 0.963 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 0.963 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.965 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 0.965 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.965 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.967 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 0.967 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 0.967 * [backup-simplify]: Simplify -1/24 into -1/24 0.968 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 0.970 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.970 * [backup-simplify]: Simplify (+ 0 0) into 0 0.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 0.972 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.974 * [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 0.975 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 0.977 * [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 0.977 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 0.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.979 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 0.980 * [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 0.980 * [backup-simplify]: Simplify 1/720 into 1/720 0.980 * [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))) 0.980 * [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)) 0.980 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 0.980 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 0.980 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 0.980 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 0.980 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (/ 1 1) into 1 0.981 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.981 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 0.981 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (/ 1 1) into 1 0.981 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.981 * [taylor]: Taking taylor expansion of 1 in x 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 0.982 * [backup-simplify]: Simplify (* 1 1) into 1 0.982 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 0.982 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 0.982 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 0.982 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 0.982 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 0.982 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 0.982 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (/ 1 1) into 1 0.982 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.982 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 0.982 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.983 * [backup-simplify]: Simplify (/ 1 1) into 1 0.983 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.983 * [taylor]: Taking taylor expansion of 1 in x 0.983 * [backup-simplify]: Simplify 1 into 1 0.983 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 0.983 * [backup-simplify]: Simplify (* 1 1) into 1 0.983 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 0.983 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 0.983 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 0.983 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.984 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 0.984 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 0.985 * [backup-simplify]: Simplify (+ 0 0) into 0 0.985 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.986 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 0.986 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 0.986 * [backup-simplify]: Simplify (+ 0 0) into 0 0.987 * [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 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.988 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 0.988 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.989 * [backup-simplify]: Simplify (+ 0 0) into 0 0.989 * [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 0.989 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.991 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 0.991 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.991 * [backup-simplify]: Simplify (+ 0 0) into 0 0.992 * [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 0.992 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.994 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 0.994 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.995 * [backup-simplify]: Simplify (+ 0 0) into 0 0.995 * [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))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 0.995 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.997 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 0.998 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.998 * [backup-simplify]: Simplify (+ 0 0) into 0 0.999 * [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 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [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))) 0.999 * [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)) 0.999 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 0.999 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 0.999 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 0.999 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 0.999 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.999 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.999 * [taylor]: Taking taylor expansion of -1 in x 0.999 * [backup-simplify]: Simplify -1 into -1 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [backup-simplify]: Simplify (/ -1 1) into -1 1.000 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.000 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.000 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.000 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.000 * [taylor]: Taking taylor expansion of -1 in x 1.000 * [backup-simplify]: Simplify -1 into -1 1.000 * [taylor]: Taking taylor expansion of x in x 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 1 into 1 1.000 * [backup-simplify]: Simplify (/ -1 1) into -1 1.000 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.000 * [taylor]: Taking taylor expansion of 1 in x 1.000 * [backup-simplify]: Simplify 1 into 1 1.000 * [backup-simplify]: Simplify (* 1 1) into 1 1.000 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.000 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 1.000 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.001 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.001 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 1.001 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 1.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.001 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.001 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.001 * [taylor]: Taking taylor expansion of -1 in x 1.001 * [backup-simplify]: Simplify -1 into -1 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [backup-simplify]: Simplify (/ -1 1) into -1 1.001 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.001 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.001 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.001 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.001 * [taylor]: Taking taylor expansion of -1 in x 1.001 * [backup-simplify]: Simplify -1 into -1 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify (/ -1 1) into -1 1.002 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.002 * [taylor]: Taking taylor expansion of 1 in x 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify (* 1 1) into 1 1.002 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.002 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 1.002 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.002 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.003 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.003 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 1.004 * [backup-simplify]: Simplify (+ 0 0) into 0 1.004 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 1.006 * [backup-simplify]: Simplify (+ 0 0) into 0 1.006 * [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))))) into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 1.008 * [backup-simplify]: Simplify (+ 0 0) into 0 1.008 * [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 1.008 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 1.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 1.011 * [backup-simplify]: Simplify (+ 0 0) into 0 1.011 * [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 1.011 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 1.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 1.015 * [backup-simplify]: Simplify (+ 0 0) into 0 1.015 * [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 1.015 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 1.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 1.019 * [backup-simplify]: Simplify (+ 0 0) into 0 1.019 * [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 1.019 * [backup-simplify]: Simplify 0 into 0 1.020 * [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))) 1.020 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.020 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 1.020 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 1.020 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.020 * [taylor]: Taking taylor expansion of (cos x) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [taylor]: Taking taylor expansion of 1 in x 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.020 * [taylor]: Taking taylor expansion of (cos x) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [taylor]: Taking taylor expansion of 1 in x 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [backup-simplify]: Simplify (+ 1 1) into 2 1.020 * [backup-simplify]: Simplify 2 into 2 1.020 * [backup-simplify]: Simplify (+ 0) into 0 1.021 * [backup-simplify]: Simplify (+ 0 0) into 0 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.022 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.022 * [backup-simplify]: Simplify -1/2 into -1/2 1.022 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.023 * [backup-simplify]: Simplify (+ 0 0) into 0 1.023 * [backup-simplify]: Simplify 0 into 0 1.025 * [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 1.025 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.025 * [backup-simplify]: Simplify 1/24 into 1/24 1.025 * [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))) 1.026 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 1.026 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 1.026 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.026 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 1 into 1 1.026 * [backup-simplify]: Simplify (/ 1 1) into 1 1.026 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.026 * [taylor]: Taking taylor expansion of 1 in x 1.026 * [backup-simplify]: Simplify 1 into 1 1.026 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.026 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify (/ 1 1) into 1 1.027 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.027 * [taylor]: Taking taylor expansion of 1 in x 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.027 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.028 * [backup-simplify]: Simplify (+ 0 0) into 0 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify (+ 0 0) into 0 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify (+ 0 0) into 0 1.028 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify (+ 0 0) into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify (+ 0 0) into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify (+ 0 0) into 0 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 1.030 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 1.030 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 1.030 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.030 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.030 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.030 * [taylor]: Taking taylor expansion of -1 in x 1.030 * [backup-simplify]: Simplify -1 into -1 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [backup-simplify]: Simplify (/ -1 1) into -1 1.030 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.030 * [taylor]: Taking taylor expansion of 1 in x 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.030 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.030 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.030 * [taylor]: Taking taylor expansion of -1 in x 1.030 * [backup-simplify]: Simplify -1 into -1 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 1 into 1 1.031 * [backup-simplify]: Simplify (/ -1 1) into -1 1.031 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.031 * [taylor]: Taking taylor expansion of 1 in x 1.031 * [backup-simplify]: Simplify 1 into 1 1.031 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.031 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.031 * [backup-simplify]: Simplify (+ 0 0) into 0 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify (+ 0 0) into 0 1.031 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify (+ 0 0) into 0 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify (+ 0 0) into 0 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify (+ 0 0) into 0 1.032 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify (+ 0 0) into 0 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 1.033 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.033 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 1.033 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 1.033 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.033 * [taylor]: Taking taylor expansion of (sin x) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.033 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.033 * [taylor]: Taking taylor expansion of (sin x) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 1 into 1 1.034 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.034 * [backup-simplify]: Simplify (* 1 1) into 1 1.034 * [backup-simplify]: Simplify 1 into 1 1.035 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.035 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.041 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.041 * [backup-simplify]: Simplify -1/3 into -1/3 1.042 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.045 * [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 1.046 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.046 * [backup-simplify]: Simplify 2/45 into 2/45 1.046 * [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))) 1.046 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.046 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 1.046 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.046 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 1 into 1 1.047 * [backup-simplify]: Simplify (/ 1 1) into 1 1.047 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.047 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.047 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 1 into 1 1.048 * [backup-simplify]: Simplify (/ 1 1) into 1 1.048 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.048 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.048 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 1.048 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 1.048 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 1.049 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 1.053 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 1.053 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 1.053 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.053 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.053 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.053 * [taylor]: Taking taylor expansion of -1 in x 1.053 * [backup-simplify]: Simplify -1 into -1 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 1 into 1 1.054 * [backup-simplify]: Simplify (/ -1 1) into -1 1.054 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.054 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.054 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.054 * [taylor]: Taking taylor expansion of -1 in x 1.054 * [backup-simplify]: Simplify -1 into -1 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 1 into 1 1.054 * [backup-simplify]: Simplify (/ -1 1) into -1 1.054 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.054 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.054 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 1.055 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 1.056 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 1.059 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.059 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 1.059 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 1.059 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 1.059 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.059 * [taylor]: Taking taylor expansion of (sin x) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 1 into 1 1.059 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.059 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.059 * [taylor]: Taking taylor expansion of (cos x) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 1 into 1 1.059 * [taylor]: Taking taylor expansion of 1 in x 1.059 * [backup-simplify]: Simplify 1 into 1 1.060 * [backup-simplify]: Simplify (* 1 1) into 1 1.060 * [backup-simplify]: Simplify (+ 1 1) into 2 1.060 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.060 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 1.060 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.060 * [taylor]: Taking taylor expansion of (sin x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 1 into 1 1.061 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.061 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 1.061 * [taylor]: Taking taylor expansion of (cos x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 1 into 1 1.061 * [taylor]: Taking taylor expansion of 1 in x 1.061 * [backup-simplify]: Simplify 1 into 1 1.061 * [backup-simplify]: Simplify (* 1 1) into 1 1.061 * [backup-simplify]: Simplify (+ 1 1) into 2 1.062 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.062 * [backup-simplify]: Simplify 1/2 into 1/2 1.062 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.063 * [backup-simplify]: Simplify (+ 0) into 0 1.063 * [backup-simplify]: Simplify (+ 0 0) into 0 1.064 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.065 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.066 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.066 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.067 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 1.067 * [backup-simplify]: Simplify -1/24 into -1/24 1.068 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 1.069 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.069 * [backup-simplify]: Simplify (+ 0 0) into 0 1.070 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 1.070 * [backup-simplify]: Simplify 0 into 0 1.072 * [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 1.073 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 1.074 * [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 1.075 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.076 * [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 1.076 * [backup-simplify]: Simplify 1/720 into 1/720 1.076 * [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))) 1.076 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.076 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 1.076 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 1.077 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.077 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (/ 1 1) into 1 1.077 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.077 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.077 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (/ 1 1) into 1 1.077 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.077 * [taylor]: Taking taylor expansion of 1 in x 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.077 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.078 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.078 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 1.078 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.078 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [backup-simplify]: Simplify (/ 1 1) into 1 1.078 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.078 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 1.078 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [backup-simplify]: Simplify (/ 1 1) into 1 1.078 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.078 * [taylor]: Taking taylor expansion of 1 in x 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 1.078 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 1.079 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.079 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1.079 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 1.079 * [backup-simplify]: Simplify (+ 0 0) into 0 1.079 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 1.079 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 1.080 * [backup-simplify]: Simplify (+ 0 0) into 0 1.080 * [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 1.080 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 1.081 * [backup-simplify]: Simplify (+ 0 0) into 0 1.081 * [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 1.081 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 1.082 * [backup-simplify]: Simplify (+ 0 0) into 0 1.083 * [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 1.083 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 1.084 * [backup-simplify]: Simplify (+ 0 0) into 0 1.084 * [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 1.084 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 1.086 * [backup-simplify]: Simplify (+ 0 0) into 0 1.086 * [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 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 1.087 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.087 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 1.087 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 1.087 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.087 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.087 * [taylor]: Taking taylor expansion of -1 in x 1.087 * [backup-simplify]: Simplify -1 into -1 1.087 * [taylor]: Taking taylor expansion of x in x 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 1 into 1 1.087 * [backup-simplify]: Simplify (/ -1 1) into -1 1.087 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.087 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.087 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.087 * [taylor]: Taking taylor expansion of -1 in x 1.087 * [backup-simplify]: Simplify -1 into -1 1.087 * [taylor]: Taking taylor expansion of x in x 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 1 into 1 1.087 * [backup-simplify]: Simplify (/ -1 1) into -1 1.088 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.088 * [taylor]: Taking taylor expansion of 1 in x 1.088 * [backup-simplify]: Simplify 1 into 1 1.088 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.088 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.088 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.088 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 1.088 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.088 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.088 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.088 * [taylor]: Taking taylor expansion of -1 in x 1.088 * [backup-simplify]: Simplify -1 into -1 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify 1 into 1 1.088 * [backup-simplify]: Simplify (/ -1 1) into -1 1.088 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.088 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 1.088 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.088 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.088 * [taylor]: Taking taylor expansion of -1 in x 1.088 * [backup-simplify]: Simplify -1 into -1 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify (/ -1 1) into -1 1.089 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.089 * [taylor]: Taking taylor expansion of 1 in x 1.089 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 1.089 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 1.089 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.089 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1.089 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 1.089 * [backup-simplify]: Simplify (+ 0 0) into 0 1.090 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [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 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [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 1.092 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 1.093 * [backup-simplify]: Simplify (+ 0 0) into 0 1.093 * [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 1.093 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 1.095 * [backup-simplify]: Simplify (+ 0 0) into 0 1.095 * [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 1.095 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 1.097 * [backup-simplify]: Simplify (+ 0 0) into 0 1.097 * [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 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 1.097 * * * [progress]: simplifying candidates 1.097 * * * * [progress]: [ 1 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 2 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 3 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 4 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 5 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 6 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 7 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 8 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 9 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 10 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 11 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 12 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 13 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 14 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 15 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 16 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 17 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 18 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 19 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 20 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 21 / 138 ] simplifiying candidate # 1.098 * * * * [progress]: [ 22 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 23 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 24 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 25 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 26 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 27 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 28 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 29 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 30 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 31 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 32 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 33 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 34 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 35 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 36 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 37 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 38 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 39 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 40 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 41 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 42 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 43 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 44 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 45 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 46 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 47 / 138 ] simplifiying candidate # 1.099 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 1.100 * * * * [progress]: [ 49 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 50 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 51 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 52 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 53 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 54 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 55 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 56 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 57 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 58 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 59 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 60 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 61 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 62 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 63 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 64 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 1.100 * * * * [progress]: [ 66 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 67 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 68 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 69 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 70 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 71 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 72 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 73 / 138 ] simplifiying candidate # 1.100 * * * * [progress]: [ 74 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 75 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 76 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 77 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 78 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 79 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 80 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 81 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 82 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 83 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 84 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 85 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 86 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 87 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 88 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 89 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 90 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 91 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 92 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 93 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 94 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 1.101 * * * * [progress]: [ 96 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 97 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 98 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 99 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 100 / 138 ] simplifiying candidate # 1.101 * * * * [progress]: [ 101 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 102 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 103 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 104 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 105 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 106 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 107 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 108 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 109 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 110 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 111 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 112 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 113 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 114 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 115 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 116 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 117 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 118 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 119 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 120 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 121 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 122 / 138 ] simplifiying candidate # 1.102 * * * * [progress]: [ 123 / 138 ] simplifiying candidate # 1.103 * * * * [progress]: [ 124 / 138 ] simplifiying candidate # 1.103 * * * * [progress]: [ 125 / 138 ] simplifiying candidate # 1.103 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 1.103 * * * * [progress]: [ 127 / 138 ] simplifiying candidate # 1.103 * * * * [progress]: [ 128 / 138 ] simplifiying candidate # 1.103 * * * * [progress]: [ 129 / 138 ] simplifiying candidate # 1.103 * * * * [progress]: [ 130 / 138 ] simplifiying candidate # 1.103 * * * * [progress]: [ 131 / 138 ] simplifiying candidate # 1.103 * * * * [progress]: [ 132 / 138 ] simplifiying candidate # 1.103 * * * * [progress]: [ 133 / 138 ] simplifiying candidate # 1.103 * * * * [progress]: [ 134 / 138 ] simplifiying candidate # 1.103 * * * * [progress]: [ 135 / 138 ] simplifiying candidate # 1.103 * * * * [progress]: [ 136 / 138 ] simplifiying candidate # 1.103 * * * * [progress]: [ 137 / 138 ] simplifiying candidate # 1.103 * * * * [progress]: [ 138 / 138 ] simplifiying candidate # 1.104 * [simplify]: Simplifying: (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x))) (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x)) (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x)) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) 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x))) (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (/ (* (sin x) (sin x)) 1) (/ (* (sin x) (sin x)) 1) (/ (+ 1 (cos x)) (sin x)) (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (* (+ 1 (cos x)) 2) (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) (+ (cos x) 1) (+ (cos x) 1) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (/ (pow (sin x) 2) (+ (cos x) 1)) (/ (pow (sin x) 2) (+ (cos x) 1)) 1.106 * * [simplify]: iteration 0: 190 enodes 1.157 * * [simplify]: iteration 1: 525 enodes 1.389 * * [simplify]: iteration 2: 1777 enodes 1.744 * * [simplify]: iteration complete: 2000 enodes 1.744 * * [simplify]: Extracting #0: cost 108 inf + 0 1.747 * * [simplify]: Extracting #1: cost 513 inf + 2 1.752 * * [simplify]: Extracting #2: cost 664 inf + 3435 1.769 * * [simplify]: Extracting #3: cost 374 inf + 58162 1.817 * * [simplify]: Extracting #4: cost 86 inf + 145991 1.856 * * [simplify]: Extracting #5: cost 1 inf + 171989 1.890 * * [simplify]: Extracting #6: cost 0 inf + 171087 1.925 * [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) (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)))) (exp 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(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)) 1.933 * * * [progress]: adding candidates to table 2.356 * * [progress]: iteration 3 / 4 2.356 * * * [progress]: picking best candidate 2.370 * * * * [pick]: Picked # 2.370 * * * [progress]: localizing error 2.388 * * * [progress]: generating rewritten candidates 2.388 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 2.395 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.407 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.425 * * * [progress]: generating series expansions 2.425 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 2.425 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 2.425 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 2.425 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 2.425 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 2.426 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 2.426 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 2.426 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.426 * [taylor]: Taking taylor expansion of 1/2 in x 2.426 * [backup-simplify]: Simplify 1/2 into 1/2 2.426 * [taylor]: Taking taylor expansion of x in x 2.426 * [backup-simplify]: Simplify 0 into 0 2.426 * [backup-simplify]: Simplify 1 into 1 2.427 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.428 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.428 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 2.428 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.428 * [taylor]: Taking taylor expansion of 1/2 in x 2.428 * [backup-simplify]: Simplify 1/2 into 1/2 2.428 * [taylor]: Taking taylor expansion of x in x 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 1 into 1 2.429 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.429 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.430 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 2.431 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.431 * [taylor]: Taking taylor expansion of x in x 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 1 into 1 2.431 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.431 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 2.431 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 2.431 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 2.431 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 2.431 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.431 * [taylor]: Taking taylor expansion of 1/2 in x 2.431 * [backup-simplify]: Simplify 1/2 into 1/2 2.431 * [taylor]: Taking taylor expansion of x in x 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 1 into 1 2.432 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.433 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.433 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 2.433 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.433 * [taylor]: Taking taylor expansion of 1/2 in x 2.433 * [backup-simplify]: Simplify 1/2 into 1/2 2.433 * [taylor]: Taking taylor expansion of x in x 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 1 into 1 2.433 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.434 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.435 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 2.435 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.435 * [taylor]: Taking taylor expansion of x in x 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify 1 into 1 2.436 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.436 * [backup-simplify]: Simplify 1/2 into 1/2 2.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.438 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.438 * [backup-simplify]: Simplify (+ 0) into 0 2.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.440 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.443 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 2.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.445 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 2.447 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 2.447 * [backup-simplify]: Simplify 1/24 into 1/24 2.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.450 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.451 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.455 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 2.456 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.458 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 2.459 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 2.460 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 2.460 * [backup-simplify]: Simplify 1/240 into 1/240 2.460 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 4)) (+ (* 1/24 (pow x 2)) 1/2)) into (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) 2.460 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 2.460 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 2.460 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 2.460 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 2.460 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.460 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 2.460 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.460 * [taylor]: Taking taylor expansion of 1/2 in x 2.460 * [backup-simplify]: Simplify 1/2 into 1/2 2.460 * [taylor]: Taking taylor expansion of x in x 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 1 into 1 2.461 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.461 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 2.461 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 2.461 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.461 * [taylor]: Taking taylor expansion of 1/2 in x 2.461 * [backup-simplify]: Simplify 1/2 into 1/2 2.461 * [taylor]: Taking taylor expansion of x in x 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 1 into 1 2.461 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.461 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 2.461 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.461 * [taylor]: Taking taylor expansion of x in x 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 1 into 1 2.461 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 2.461 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 2.462 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.462 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 2.462 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.462 * [taylor]: Taking taylor expansion of 1/2 in x 2.462 * [backup-simplify]: Simplify 1/2 into 1/2 2.462 * [taylor]: Taking taylor expansion of x in x 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 1 into 1 2.462 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.462 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 2.462 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 2.462 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.462 * [taylor]: Taking taylor expansion of 1/2 in x 2.462 * [backup-simplify]: Simplify 1/2 into 1/2 2.462 * [taylor]: Taking taylor expansion of x in x 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 1 into 1 2.462 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.462 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 2.462 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.462 * [taylor]: Taking taylor expansion of x in x 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify 1 into 1 2.463 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 2.463 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.463 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.464 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 2.464 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 2.465 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 2.466 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 2.467 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 2.468 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 2.469 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 2.470 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 2.470 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 2.470 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 2.470 * [taylor]: Taking taylor expansion of -1 in x 2.470 * [backup-simplify]: Simplify -1 into -1 2.470 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 2.470 * [taylor]: Taking taylor expansion of x in x 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify 1 into 1 2.470 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 2.470 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.470 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 2.470 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 2.470 * [taylor]: Taking taylor expansion of -1/2 in x 2.470 * [backup-simplify]: Simplify -1/2 into -1/2 2.470 * [taylor]: Taking taylor expansion of x in x 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify 1 into 1 2.470 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.470 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 2.470 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 2.470 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 2.470 * [taylor]: Taking taylor expansion of -1/2 in x 2.470 * [backup-simplify]: Simplify -1/2 into -1/2 2.470 * [taylor]: Taking taylor expansion of x in x 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify 1 into 1 2.471 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.471 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 2.471 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.471 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 2.471 * [taylor]: Taking taylor expansion of -1 in x 2.471 * [backup-simplify]: Simplify -1 into -1 2.471 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 2.471 * [taylor]: Taking taylor expansion of x in x 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.471 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 2.471 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.471 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 2.471 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 2.471 * [taylor]: Taking taylor expansion of -1/2 in x 2.471 * [backup-simplify]: Simplify -1/2 into -1/2 2.471 * [taylor]: Taking taylor expansion of x in x 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.471 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.472 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 2.472 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 2.472 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 2.472 * [taylor]: Taking taylor expansion of -1/2 in x 2.472 * [backup-simplify]: Simplify -1/2 into -1/2 2.472 * [taylor]: Taking taylor expansion of x in x 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 1 into 1 2.472 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.472 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 2.472 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.472 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 2.472 * [backup-simplify]: Simplify (* -1 0) into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 2.473 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.473 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 2.473 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 2.474 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 2.474 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 2.475 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 2.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 2.477 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 2.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 2.480 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 2.483 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 2.485 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 2.485 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 2.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 2.491 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))))) into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 2.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0 2.505 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))))) into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify (* (- (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 2.506 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.506 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 2.506 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 2.506 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 2.506 * [taylor]: Taking taylor expansion of (sin x) in x 2.506 * [taylor]: Taking taylor expansion of x in x 2.506 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify 1 into 1 2.506 * [taylor]: Taking taylor expansion of x in x 2.506 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify 1 into 1 2.507 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.508 * [backup-simplify]: Simplify (/ 1 1) into 1 2.508 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 2.508 * [taylor]: Taking taylor expansion of (sin x) in x 2.508 * [taylor]: Taking taylor expansion of x in x 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 1 into 1 2.508 * [taylor]: Taking taylor expansion of x in x 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 1 into 1 2.509 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.509 * [backup-simplify]: Simplify (/ 1 1) into 1 2.509 * [backup-simplify]: Simplify 1 into 1 2.510 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.510 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.512 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 2.512 * [backup-simplify]: Simplify -1/6 into -1/6 2.513 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 2.514 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 2.517 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 2.517 * [backup-simplify]: Simplify 1/120 into 1/120 2.517 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) 2.517 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 2.517 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 2.517 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 2.517 * [taylor]: Taking taylor expansion of x in x 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 1 into 1 2.517 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.517 * [taylor]: Taking taylor expansion of x in x 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 1 into 1 2.517 * [backup-simplify]: Simplify (/ 1 1) into 1 2.517 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.517 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 2.517 * [taylor]: Taking taylor expansion of x in x 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 1 into 1 2.517 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.517 * [taylor]: Taking taylor expansion of x in x 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.518 * [backup-simplify]: Simplify (/ 1 1) into 1 2.518 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.518 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 2.518 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.520 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.521 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.522 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.524 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 2.526 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 2.526 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 2.526 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 2.526 * [taylor]: Taking taylor expansion of -1 in x 2.526 * [backup-simplify]: Simplify -1 into -1 2.526 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 2.526 * [taylor]: Taking taylor expansion of x in x 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 1 into 1 2.526 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.526 * [taylor]: Taking taylor expansion of -1 in x 2.526 * [backup-simplify]: Simplify -1 into -1 2.526 * [taylor]: Taking taylor expansion of x in x 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 1 into 1 2.527 * [backup-simplify]: Simplify (/ -1 1) into -1 2.527 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.527 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 2.527 * [taylor]: Taking taylor expansion of -1 in x 2.527 * [backup-simplify]: Simplify -1 into -1 2.527 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 2.527 * [taylor]: Taking taylor expansion of x in x 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 1 into 1 2.527 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.527 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.527 * [taylor]: Taking taylor expansion of -1 in x 2.527 * [backup-simplify]: Simplify -1 into -1 2.527 * [taylor]: Taking taylor expansion of x in x 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 1 into 1 2.527 * [backup-simplify]: Simplify (/ -1 1) into -1 2.527 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.527 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 2.528 * [backup-simplify]: Simplify (* -1 0) into 0 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 2.528 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 2.528 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 2.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 2.530 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.531 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 2.531 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.533 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 2.533 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.535 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 2.535 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.538 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 2.542 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 2.542 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.542 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 2.542 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 2.542 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 2.542 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 2.542 * [taylor]: Taking taylor expansion of (sin x) in x 2.542 * [taylor]: Taking taylor expansion of x in x 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify 1 into 1 2.542 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 2.542 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 2.542 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 2.542 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.542 * [taylor]: Taking taylor expansion of 1/2 in x 2.542 * [backup-simplify]: Simplify 1/2 into 1/2 2.542 * [taylor]: Taking taylor expansion of x in x 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify 1 into 1 2.543 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.543 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.543 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 2.543 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.543 * [taylor]: Taking taylor expansion of 1/2 in x 2.543 * [backup-simplify]: Simplify 1/2 into 1/2 2.543 * [taylor]: Taking taylor expansion of x in x 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 1 into 1 2.543 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.544 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 2.545 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.545 * [taylor]: Taking taylor expansion of x in x 2.545 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify 1 into 1 2.545 * [backup-simplify]: Simplify (* 0 1/2) into 0 2.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.546 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.546 * [backup-simplify]: Simplify (+ 0) into 0 2.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.548 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 2.548 * [backup-simplify]: Simplify (* 1 1) into 1 2.549 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.549 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 2.549 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 2.549 * [taylor]: Taking taylor expansion of (sin x) in x 2.549 * [taylor]: Taking taylor expansion of x in x 2.549 * [backup-simplify]: Simplify 0 into 0 2.549 * [backup-simplify]: Simplify 1 into 1 2.549 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 2.549 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 2.549 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 2.549 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.549 * [taylor]: Taking taylor expansion of 1/2 in x 2.549 * [backup-simplify]: Simplify 1/2 into 1/2 2.549 * [taylor]: Taking taylor expansion of x in x 2.549 * [backup-simplify]: Simplify 0 into 0 2.549 * [backup-simplify]: Simplify 1 into 1 2.549 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.550 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.550 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 2.550 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.550 * [taylor]: Taking taylor expansion of 1/2 in x 2.550 * [backup-simplify]: Simplify 1/2 into 1/2 2.550 * [taylor]: Taking taylor expansion of x in x 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify 1 into 1 2.550 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.550 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.551 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 2.551 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.551 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.551 * [taylor]: Taking taylor expansion of x in x 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify 1 into 1 2.552 * [backup-simplify]: Simplify (* 0 1/2) into 0 2.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.553 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.553 * [backup-simplify]: Simplify (+ 0) into 0 2.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.554 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 2.554 * [backup-simplify]: Simplify (* 1 1) into 1 2.555 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.555 * [backup-simplify]: Simplify 1/2 into 1/2 2.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.556 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 2.557 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.558 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 2.558 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.559 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 2.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.560 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.561 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.564 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 2.567 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.568 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 2.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.571 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 2.571 * [backup-simplify]: Simplify -1/24 into -1/24 2.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.576 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 2.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.579 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 2.580 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 2.581 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.582 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 2.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.587 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.589 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 2.592 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 2.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 2.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.595 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 2.595 * [backup-simplify]: Simplify 1/720 into 1/720 2.595 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 2.595 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 2.595 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 2.595 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 2.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.595 * [taylor]: Taking taylor expansion of x in x 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify 1 into 1 2.595 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 2.595 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 2.595 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.595 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 2.595 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.596 * [taylor]: Taking taylor expansion of 1/2 in x 2.596 * [backup-simplify]: Simplify 1/2 into 1/2 2.596 * [taylor]: Taking taylor expansion of x in x 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.599 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.600 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 2.600 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 2.600 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.600 * [taylor]: Taking taylor expansion of 1/2 in x 2.600 * [backup-simplify]: Simplify 1/2 into 1/2 2.600 * [taylor]: Taking taylor expansion of x in x 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 1 into 1 2.600 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.600 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 2.600 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.600 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.600 * [taylor]: Taking taylor expansion of x in x 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 1 into 1 2.601 * [backup-simplify]: Simplify (/ 1 1) into 1 2.601 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.601 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 2.601 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.601 * [taylor]: Taking taylor expansion of x in x 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 1 into 1 2.601 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 2.601 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 2.601 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.601 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 2.601 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.601 * [taylor]: Taking taylor expansion of 1/2 in x 2.601 * [backup-simplify]: Simplify 1/2 into 1/2 2.601 * [taylor]: Taking taylor expansion of x in x 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 1 into 1 2.601 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.601 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 2.601 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 2.601 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.601 * [taylor]: Taking taylor expansion of 1/2 in x 2.601 * [backup-simplify]: Simplify 1/2 into 1/2 2.601 * [taylor]: Taking taylor expansion of x in x 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 1 into 1 2.602 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.602 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 2.602 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2.602 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.602 * [taylor]: Taking taylor expansion of x in x 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify 1 into 1 2.602 * [backup-simplify]: Simplify (/ 1 1) into 1 2.602 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.602 * [backup-simplify]: Simplify (* 1 1) into 1 2.603 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2.603 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2.603 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2.603 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 2.603 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 2.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 2.604 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 2.604 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 2.606 * [backup-simplify]: Simplify 0 into 0 2.606 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 2.606 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 2.609 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 2.612 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 2.616 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 2.618 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) 2.618 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 2.618 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 2.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.618 * [taylor]: Taking taylor expansion of x in x 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.619 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 2.619 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 2.619 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.619 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 2.619 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 2.619 * [taylor]: Taking taylor expansion of -1/2 in x 2.619 * [backup-simplify]: Simplify -1/2 into -1/2 2.619 * [taylor]: Taking taylor expansion of x in x 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.619 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 2.619 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 2.619 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 2.619 * [taylor]: Taking taylor expansion of -1/2 in x 2.619 * [backup-simplify]: Simplify -1/2 into -1/2 2.619 * [taylor]: Taking taylor expansion of x in x 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.619 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 2.619 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.620 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.620 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.620 * [taylor]: Taking taylor expansion of -1 in x 2.620 * [backup-simplify]: Simplify -1 into -1 2.620 * [taylor]: Taking taylor expansion of x in x 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 1 into 1 2.620 * [backup-simplify]: Simplify (/ -1 1) into -1 2.620 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.620 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 2.620 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.620 * [taylor]: Taking taylor expansion of x in x 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 1 into 1 2.620 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 2.620 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 2.620 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.620 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 2.620 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 2.620 * [taylor]: Taking taylor expansion of -1/2 in x 2.620 * [backup-simplify]: Simplify -1/2 into -1/2 2.620 * [taylor]: Taking taylor expansion of x in x 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 1 into 1 2.620 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.621 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 2.621 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 2.621 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 2.621 * [taylor]: Taking taylor expansion of -1/2 in x 2.621 * [backup-simplify]: Simplify -1/2 into -1/2 2.621 * [taylor]: Taking taylor expansion of x in x 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify 1 into 1 2.621 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.621 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 2.621 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2.621 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.621 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.621 * [taylor]: Taking taylor expansion of -1 in x 2.621 * [backup-simplify]: Simplify -1 into -1 2.621 * [taylor]: Taking taylor expansion of x in x 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify 1 into 1 2.622 * [backup-simplify]: Simplify (/ -1 1) into -1 2.622 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.622 * [backup-simplify]: Simplify (* 1 1) into 1 2.622 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2.622 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2.622 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2.622 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 2.623 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 2.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 2.623 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 2.624 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 2.625 * [backup-simplify]: Simplify 0 into 0 2.625 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 2.626 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 2.627 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 2.628 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 2.631 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 2.633 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 2.636 * [backup-simplify]: Simplify 0 into 0 2.637 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 2.639 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 2.644 * * * [progress]: simplifying candidates 2.644 * * * * [progress]: [ 1 / 123 ] simplifiying candidate # 2.644 * * * * [progress]: [ 2 / 123 ] simplifiying candidate # 2.644 * * * * [progress]: [ 3 / 123 ] simplifiying candidate # 2.644 * * * * [progress]: [ 4 / 123 ] simplifiying candidate # 2.644 * * * * [progress]: [ 5 / 123 ] simplifiying candidate # 2.644 * * * * [progress]: [ 6 / 123 ] simplifiying candidate # 2.644 * * * * [progress]: [ 7 / 123 ] simplifiying candidate # 2.644 * * * * [progress]: [ 8 / 123 ] simplifiying candidate # 2.644 * * * * [progress]: [ 9 / 123 ] simplifiying candidate # 2.644 * * * * [progress]: [ 10 / 123 ] simplifiying candidate # 2.644 * * * * [progress]: [ 11 / 123 ] simplifiying candidate # 2.644 * * * * [progress]: [ 12 / 123 ] simplifiying candidate # 2.644 * * * * [progress]: [ 13 / 123 ] simplifiying candidate # 2.645 * * * * [progress]: [ 14 / 123 ] simplifiying candidate # 2.645 * * * * [progress]: [ 15 / 123 ] simplifiying candidate # 2.645 * * * * [progress]: [ 16 / 123 ] simplifiying candidate # 2.645 * * * * [progress]: [ 17 / 123 ] simplifiying candidate # 2.645 * * * * [progress]: [ 18 / 123 ] simplifiying candidate # 2.645 * * * * [progress]: [ 19 / 123 ] simplifiying candidate # 2.645 * * * * [progress]: [ 20 / 123 ] simplifiying candidate # 2.645 * * * * [progress]: [ 21 / 123 ] simplifiying candidate # 2.645 * * * * [progress]: [ 22 / 123 ] simplifiying candidate # 2.645 * * * * [progress]: [ 23 / 123 ] simplifiying candidate # 2.645 * * * * [progress]: [ 24 / 123 ] simplifiying candidate # 2.645 * * * * [progress]: [ 25 / 123 ] simplifiying candidate # 2.645 * * * * [progress]: [ 26 / 123 ] simplifiying candidate # 2.645 * * * * [progress]: [ 27 / 123 ] simplifiying candidate # 2.645 * * * * [progress]: [ 28 / 123 ] simplifiying candidate # 2.645 * * * * [progress]: [ 29 / 123 ] simplifiying candidate # 2.646 * * * * [progress]: [ 30 / 123 ] simplifiying candidate # 2.646 * * * * [progress]: [ 31 / 123 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))))> 2.646 * * * * [progress]: [ 32 / 123 ] simplifiying candidate # 2.646 * * * * [progress]: [ 33 / 123 ] simplifiying candidate # 2.646 * * * * [progress]: [ 34 / 123 ] simplifiying candidate # 2.646 * * * * [progress]: [ 35 / 123 ] simplifiying candidate # 2.646 * * * * [progress]: [ 36 / 123 ] simplifiying candidate # 2.646 * * * * [progress]: [ 37 / 123 ] simplifiying candidate # 2.646 * * * * [progress]: [ 38 / 123 ] simplifiying candidate # 2.646 * * * * [progress]: [ 39 / 123 ] simplifiying candidate # 2.646 * * * * [progress]: [ 40 / 123 ] simplifiying candidate # 2.646 * * * * [progress]: [ 41 / 123 ] simplifiying candidate # 2.646 * * * * [progress]: [ 42 / 123 ] simplifiying candidate # 2.646 * * * * [progress]: [ 43 / 123 ] simplifiying candidate # 2.646 * * * * [progress]: [ 44 / 123 ] simplifiying candidate # 2.646 * * * * [progress]: [ 45 / 123 ] simplifiying candidate # 2.646 * * * * [progress]: [ 46 / 123 ] simplifiying candidate # 2.647 * * * * [progress]: [ 47 / 123 ] simplifiying candidate # 2.647 * * * * [progress]: [ 48 / 123 ] simplifiying candidate # 2.647 * * * * [progress]: [ 49 / 123 ] simplifiying candidate # 2.647 * * * * [progress]: [ 50 / 123 ] simplifiying candidate # 2.647 * * * * [progress]: [ 51 / 123 ] simplifiying candidate # 2.647 * * * * [progress]: [ 52 / 123 ] simplifiying candidate # 2.647 * * * * [progress]: [ 53 / 123 ] simplifiying candidate # 2.647 * * * * [progress]: [ 54 / 123 ] simplifiying candidate # 2.647 * * * * [progress]: [ 55 / 123 ] simplifiying candidate # 2.647 * * * * [progress]: [ 56 / 123 ] simplifiying candidate # 2.647 * * * * [progress]: [ 57 / 123 ] simplifiying candidate # 2.647 * * * * [progress]: [ 58 / 123 ] simplifiying candidate # 2.647 * * * * [progress]: [ 59 / 123 ] simplifiying candidate # 2.647 * * * * [progress]: [ 60 / 123 ] simplifiying candidate # 2.647 * * * * [progress]: [ 61 / 123 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))> 2.647 * * * * [progress]: [ 62 / 123 ] simplifiying candidate # 2.648 * * * * [progress]: [ 63 / 123 ] simplifiying candidate # 2.648 * * * * [progress]: [ 64 / 123 ] simplifiying candidate # 2.648 * * * * [progress]: [ 65 / 123 ] simplifiying candidate # 2.648 * * * * [progress]: [ 66 / 123 ] simplifiying candidate # 2.648 * * * * [progress]: [ 67 / 123 ] simplifiying candidate # 2.648 * * * * [progress]: [ 68 / 123 ] simplifiying candidate # 2.648 * * * * [progress]: [ 69 / 123 ] simplifiying candidate # 2.648 * * * * [progress]: [ 70 / 123 ] simplifiying candidate # 2.648 * * * * [progress]: [ 71 / 123 ] simplifiying candidate # 2.648 * * * * [progress]: [ 72 / 123 ] simplifiying candidate # 2.648 * * * * [progress]: [ 73 / 123 ] simplifiying candidate # 2.648 * * * * [progress]: [ 74 / 123 ] simplifiying candidate # 2.648 * * * * [progress]: [ 75 / 123 ] simplifiying candidate # 2.648 * * * * [progress]: [ 76 / 123 ] simplifiying candidate # 2.648 * * * * [progress]: [ 77 / 123 ] simplifiying candidate # 2.648 * * * * [progress]: [ 78 / 123 ] simplifiying candidate # 2.649 * * * * [progress]: [ 79 / 123 ] simplifiying candidate # 2.649 * * * * [progress]: [ 80 / 123 ] simplifiying candidate # 2.649 * * * * [progress]: [ 81 / 123 ] simplifiying 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candidate # 2.651 * * * * [progress]: [ 113 / 123 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))> 2.651 * * * * [progress]: [ 114 / 123 ] simplifiying candidate # 2.651 * * * * [progress]: [ 115 / 123 ] simplifiying candidate # 2.651 * * * * [progress]: [ 116 / 123 ] simplifiying candidate # 2.652 * * * * [progress]: [ 117 / 123 ] simplifiying candidate # 2.652 * * * * [progress]: [ 118 / 123 ] simplifiying candidate # 2.652 * * * * [progress]: [ 119 / 123 ] simplifiying candidate # 2.652 * * * * [progress]: [ 120 / 123 ] simplifiying candidate # 2.652 * * * * [progress]: [ 121 / 123 ] simplifiying candidate # 2.652 * * * * [progress]: [ 122 / 123 ] simplifiying candidate # 2.652 * * * * [progress]: [ 123 / 123 ] simplifiying candidate # 2.654 * [simplify]: Simplifying: (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)) (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))) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (+ (- (log (sin x)) (log x)) (- (log (tan (/ x 2))) (log x))) (+ (- (log (sin x)) (log x)) (log (/ (tan (/ x 2)) x))) (+ (log (/ (sin x) x)) (- (log (tan (/ x 2))) (log x))) (+ (log (/ (sin x) x)) (log (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (sin x) (tan (/ x 2))) (* x x) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))) (* (/ (sin x) x) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) 1)) (* (/ (sin x) x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ 1 (sqrt x))) (* (/ (sin x) x) (/ 1 1)) (* (/ (sin x) x) 1) (* (/ (sin x) x) (tan (/ x 2))) (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ 1 x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (tan (/ x 2))) (* (sin x) (/ (tan (/ x 2)) x)) (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 2.657 * * [simplify]: iteration 0: 172 enodes 2.719 * * [simplify]: iteration 1: 453 enodes 2.887 * * [simplify]: iteration 2: 1627 enodes 3.211 * * [simplify]: iteration complete: 2004 enodes 3.211 * * [simplify]: Extracting #0: cost 107 inf + 0 3.212 * * [simplify]: Extracting #1: cost 559 inf + 1 3.216 * * [simplify]: Extracting #2: cost 715 inf + 4543 3.225 * * [simplify]: Extracting #3: cost 403 inf + 83826 3.248 * * [simplify]: Extracting #4: cost 62 inf + 191414 3.303 * * [simplify]: Extracting #5: cost 0 inf + 209987 3.338 * [simplify]: Simplified to: (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))) (/ (sqrt x) (cbrt (tan (/ x 2))))) (/ (cbrt (tan (/ x 2))) (sqrt x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (cbrt (tan (/ x 2))) x) (/ (/ (sqrt (tan (/ x 2))) (cbrt x)) (cbrt x)) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (tan (/ x 2))) (/ (sqrt (tan (/ x 2))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) 1 (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (sqrt x)) (tan (/ x 2)) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* (cos (/ x 2)) x) (real->posit16 (/ (tan (/ x 2)) x)) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (log (/ (sin x) x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (* (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (/ (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))) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (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 (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (/ (/ (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) (sqrt x)) (sqrt x)) (/ (/ (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) (sqrt x)) (sqrt x)) (* (* (/ (sin x) x) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x))) (/ (* (sqrt (/ (tan (/ x 2)) x)) (sin x)) x) (/ (* (* (sin x) (/ (cbrt (tan (/ x 2))) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x))) x) (* (/ (cbrt (tan (/ x 2))) (/ (sqrt x) (cbrt (tan (/ x 2))))) (/ (sin x) x)) (* (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (sin x) x)) (/ (/ (sin x) x) (/ (* (cbrt x) (cbrt x)) (sqrt (tan (/ x 2))))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sin x) 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) (/ x (tan (/ x 2)))) (* (/ (tan (/ x 2)) x) (cbrt (/ (sin x) x))) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (/ (/ (cbrt (sin x)) (cbrt x)) (/ x (tan (/ x 2)))) (* (/ (cbrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (/ (/ (cbrt (sin x)) x) (/ x (tan (/ x 2)))) (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) (cbrt x))) (/ (* (tan (/ x 2)) (/ (sqrt (sin x)) (sqrt x))) x) (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) x)) (/ (/ (sin x) (cbrt x)) (/ x (tan (/ x 2)))) (/ (/ (sin x) (sqrt x)) (/ x (tan (/ x 2)))) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (/ (tan (/ x 2)) x) x) (/ (sin x) (/ x (tan (/ x 2)))) (/ (sin x) (/ x (tan (/ x 2)))) (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (fma 1/24 (* x x) (fma 1/240 (* (* x x) (* x x)) 1/2)) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (fma (* x x) -1/6 (fma 1/120 (* (* x x) (* x x)) 1)) (/ (sin x) x) (/ (sin x) x) (fma (* x x) -1/24 (fma (* (* x x) (* x x)) 1/720 1/2)) (/ (/ (* (sin x) (sin (* 1/2 x))) (* x x)) (cos (* 1/2 x))) (/ (/ (* (sin x) (sin (* 1/2 x))) (* x x)) (cos (* 1/2 x))) 3.348 * * * [progress]: adding candidates to table 3.841 * * [progress]: iteration 4 / 4 3.841 * * * [progress]: picking best candidate 3.854 * * * * [pick]: Picked # 3.854 * * * [progress]: localizing error 3.875 * * * [progress]: generating rewritten candidates 3.875 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 3.893 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 3.901 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 3.928 * * * [progress]: generating series expansions 3.928 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 3.928 * [backup-simplify]: Simplify (* (/ (sin x) x) (tan (/ x 2))) into (/ (* (sin x) (tan (* 1/2 x))) x) 3.928 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in (x) around 0 3.928 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 3.928 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 3.928 * [taylor]: Taking taylor expansion of (sin x) in x 3.928 * [taylor]: Taking taylor expansion of x in x 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 3.928 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 3.928 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 3.928 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.928 * [taylor]: Taking taylor expansion of 1/2 in x 3.928 * [backup-simplify]: Simplify 1/2 into 1/2 3.928 * [taylor]: Taking taylor expansion of x in x 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.929 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.929 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.929 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 3.929 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.929 * [taylor]: Taking taylor expansion of 1/2 in x 3.929 * [backup-simplify]: Simplify 1/2 into 1/2 3.929 * [taylor]: Taking taylor expansion of x in x 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 1 into 1 3.930 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.930 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.930 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 3.931 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.931 * [taylor]: Taking taylor expansion of x in x 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.931 * [backup-simplify]: Simplify (* 0 1/2) into 0 3.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.932 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.932 * [backup-simplify]: Simplify (+ 0) into 0 3.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.933 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.934 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 3.934 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.934 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 3.934 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 3.934 * [taylor]: Taking taylor expansion of (sin x) in x 3.934 * [taylor]: Taking taylor expansion of x in x 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 1 into 1 3.934 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 3.934 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 3.934 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 3.934 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.934 * [taylor]: Taking taylor expansion of 1/2 in x 3.934 * [backup-simplify]: Simplify 1/2 into 1/2 3.934 * [taylor]: Taking taylor expansion of x in x 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 1 into 1 3.935 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.938 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.938 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 3.938 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.938 * [taylor]: Taking taylor expansion of 1/2 in x 3.938 * [backup-simplify]: Simplify 1/2 into 1/2 3.938 * [taylor]: Taking taylor expansion of x in x 3.938 * [backup-simplify]: Simplify 0 into 0 3.938 * [backup-simplify]: Simplify 1 into 1 3.938 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.939 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 3.939 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.939 * [taylor]: Taking taylor expansion of x in x 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify 1 into 1 3.940 * [backup-simplify]: Simplify (* 0 1/2) into 0 3.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.941 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.941 * [backup-simplify]: Simplify (+ 0) into 0 3.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.943 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 3.943 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.943 * [backup-simplify]: Simplify 1/2 into 1/2 3.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.945 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 3.945 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 3.946 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 3.946 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.947 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 3.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.948 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.949 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.951 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 3.952 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.953 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 3.954 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 3.954 * [backup-simplify]: Simplify -1/24 into -1/24 3.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.960 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 3.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 3.966 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 3.968 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.970 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 3.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 3.971 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.977 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.981 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 3.985 * [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 3.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 3.988 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 3.988 * [backup-simplify]: Simplify 1/720 into 1/720 3.988 * [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))) 3.988 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (tan (/ (/ 1 x) 2))) into (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 3.988 * [approximate]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 3.988 * [taylor]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 3.988 * [taylor]: Taking taylor expansion of x in x 3.988 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify 1 into 1 3.988 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 3.988 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 3.988 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.988 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 3.988 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.988 * [taylor]: Taking taylor expansion of 1/2 in x 3.988 * [backup-simplify]: Simplify 1/2 into 1/2 3.988 * [taylor]: Taking taylor expansion of x in x 3.988 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify 1 into 1 3.989 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.989 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 3.989 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 3.989 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.989 * [taylor]: Taking taylor expansion of 1/2 in x 3.989 * [backup-simplify]: Simplify 1/2 into 1/2 3.989 * [taylor]: Taking taylor expansion of x in x 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify 1 into 1 3.989 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.989 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 3.989 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.989 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.989 * [taylor]: Taking taylor expansion of x in x 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify 1 into 1 3.990 * [backup-simplify]: Simplify (/ 1 1) into 1 3.990 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.990 * [taylor]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 3.990 * [taylor]: Taking taylor expansion of x in x 3.990 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify 1 into 1 3.990 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 3.990 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 3.990 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.990 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 3.990 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.990 * [taylor]: Taking taylor expansion of 1/2 in x 3.990 * [backup-simplify]: Simplify 1/2 into 1/2 3.990 * [taylor]: Taking taylor expansion of x in x 3.990 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify 1 into 1 3.990 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.990 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 3.990 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 3.990 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.990 * [taylor]: Taking taylor expansion of 1/2 in x 3.990 * [backup-simplify]: Simplify 1/2 into 1/2 3.990 * [taylor]: Taking taylor expansion of x in x 3.990 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify 1 into 1 3.991 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.991 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 3.991 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3.991 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.991 * [taylor]: Taking taylor expansion of x in x 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 1 into 1 3.991 * [backup-simplify]: Simplify (/ 1 1) into 1 3.991 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.991 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3.992 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into 0 3.992 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 3.992 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 3.992 * [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))) 3.992 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3.993 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 3.993 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 3.994 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 3.994 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 3.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 3.995 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 3.996 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 3.997 * [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 3.997 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 3.999 * [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 4.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 4.000 * [backup-simplify]: Simplify 0 into 0 4.001 * [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 4.002 * [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 4.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 4.003 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.005 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 4.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))))) into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) 4.007 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) into (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) 4.007 * [approximate]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in (x) around 0 4.007 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 4.007 * [taylor]: Taking taylor expansion of -1 in x 4.007 * [backup-simplify]: Simplify -1 into -1 4.007 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 4.007 * [taylor]: Taking taylor expansion of x in x 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 1 into 1 4.007 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 4.007 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.007 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.008 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.008 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.008 * [taylor]: Taking taylor expansion of -1/2 in x 4.008 * [backup-simplify]: Simplify -1/2 into -1/2 4.008 * [taylor]: Taking taylor expansion of x in x 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.008 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.008 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.008 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.008 * [taylor]: Taking taylor expansion of -1/2 in x 4.008 * [backup-simplify]: Simplify -1/2 into -1/2 4.008 * [taylor]: Taking taylor expansion of x in x 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.008 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.008 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.008 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.008 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.009 * [taylor]: Taking taylor expansion of -1 in x 4.009 * [backup-simplify]: Simplify -1 into -1 4.009 * [taylor]: Taking taylor expansion of x in x 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 1 into 1 4.009 * [backup-simplify]: Simplify (/ -1 1) into -1 4.009 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.009 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 4.009 * [taylor]: Taking taylor expansion of -1 in x 4.009 * [backup-simplify]: Simplify -1 into -1 4.009 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 4.009 * [taylor]: Taking taylor expansion of x in x 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 1 into 1 4.009 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 4.009 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.009 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.009 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.009 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.009 * [taylor]: Taking taylor expansion of -1/2 in x 4.009 * [backup-simplify]: Simplify -1/2 into -1/2 4.009 * [taylor]: Taking taylor expansion of x in x 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 1 into 1 4.009 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.010 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.010 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.010 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.010 * [taylor]: Taking taylor expansion of -1/2 in x 4.010 * [backup-simplify]: Simplify -1/2 into -1/2 4.010 * [taylor]: Taking taylor expansion of x in x 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify 1 into 1 4.010 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.010 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.010 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.010 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.010 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.010 * [taylor]: Taking taylor expansion of -1 in x 4.010 * [backup-simplify]: Simplify -1 into -1 4.010 * [taylor]: Taking taylor expansion of x in x 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify 1 into 1 4.010 * [backup-simplify]: Simplify (/ -1 1) into -1 4.010 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.011 * [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))) 4.011 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into 0 4.011 * [backup-simplify]: Simplify (* -1 0) into 0 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 4.011 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 4.012 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4.012 * [backup-simplify]: Simplify (+ (* -1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) 4.012 * [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)))) 4.012 * [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 4.013 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 4.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 4.014 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))) into 0 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 4.015 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 4.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 4.017 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))) into 0 4.017 * [backup-simplify]: Simplify 0 into 0 4.018 * [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 4.019 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 4.021 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 4.022 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))))) into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [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 4.023 * [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 4.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 4.026 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 4.026 * [backup-simplify]: Simplify 0 into 0 4.027 * [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 4.028 * [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 4.031 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 4.033 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))))))) into 0 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [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 4.035 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 4.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))))) into 0 4.046 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))))))) into 0 4.046 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify (* (- (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) 4.047 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 4.047 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 4.047 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 4.047 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 4.047 * [taylor]: Taking taylor expansion of (sin x) in x 4.047 * [taylor]: Taking taylor expansion of x in x 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 1 into 1 4.047 * [taylor]: Taking taylor expansion of x in x 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 1 into 1 4.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.049 * [backup-simplify]: Simplify (/ 1 1) into 1 4.049 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 4.049 * [taylor]: Taking taylor expansion of (sin x) in x 4.049 * [taylor]: Taking taylor expansion of x in x 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 1 into 1 4.049 * [taylor]: Taking taylor expansion of x in x 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 1 into 1 4.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.050 * [backup-simplify]: Simplify (/ 1 1) into 1 4.050 * [backup-simplify]: Simplify 1 into 1 4.051 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.051 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.053 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 4.053 * [backup-simplify]: Simplify -1/6 into -1/6 4.054 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 4.055 * [backup-simplify]: Simplify 0 into 0 4.057 * [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 4.057 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 4.057 * [backup-simplify]: Simplify 1/120 into 1/120 4.058 * [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))) 4.058 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 4.058 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 4.058 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 4.058 * [taylor]: Taking taylor expansion of x in x 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify 1 into 1 4.058 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.058 * [taylor]: Taking taylor expansion of x in x 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify 1 into 1 4.058 * [backup-simplify]: Simplify (/ 1 1) into 1 4.058 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.058 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 4.058 * [taylor]: Taking taylor expansion of x in x 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify 1 into 1 4.058 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.058 * [taylor]: Taking taylor expansion of x in x 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify 1 into 1 4.059 * [backup-simplify]: Simplify (/ 1 1) into 1 4.059 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.059 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 4.059 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 4.060 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 4.061 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 4.062 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 4.063 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 4.064 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 4.066 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 4.066 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 4.066 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 4.066 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 4.066 * [taylor]: Taking taylor expansion of -1 in x 4.066 * [backup-simplify]: Simplify -1 into -1 4.066 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 4.066 * [taylor]: Taking taylor expansion of x in x 4.066 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify 1 into 1 4.066 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.066 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.066 * [taylor]: Taking taylor expansion of -1 in x 4.066 * [backup-simplify]: Simplify -1 into -1 4.066 * [taylor]: Taking taylor expansion of x in x 4.066 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify 1 into 1 4.067 * [backup-simplify]: Simplify (/ -1 1) into -1 4.067 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.067 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 4.067 * [taylor]: Taking taylor expansion of -1 in x 4.067 * [backup-simplify]: Simplify -1 into -1 4.067 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 4.067 * [taylor]: Taking taylor expansion of x in x 4.067 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify 1 into 1 4.067 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.067 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.067 * [taylor]: Taking taylor expansion of -1 in x 4.067 * [backup-simplify]: Simplify -1 into -1 4.067 * [taylor]: Taking taylor expansion of x in x 4.067 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify 1 into 1 4.067 * [backup-simplify]: Simplify (/ -1 1) into -1 4.067 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.067 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 4.068 * [backup-simplify]: Simplify (* -1 0) into 0 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 4.068 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 4.068 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 4.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 4.069 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 4.069 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 4.071 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 4.071 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 4.073 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 4.073 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 4.075 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 4.075 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 4.078 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 4.078 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 4.082 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 4.082 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.082 * [backup-simplify]: Simplify (/ (* (/ (sin x) x) (tan (/ x 2))) x) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 4.082 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 4.082 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 4.082 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 4.082 * [taylor]: Taking taylor expansion of (sin x) in x 4.082 * [taylor]: Taking taylor expansion of x in x 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 1 into 1 4.082 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.082 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.082 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.082 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.082 * [taylor]: Taking taylor expansion of 1/2 in x 4.082 * [backup-simplify]: Simplify 1/2 into 1/2 4.082 * [taylor]: Taking taylor expansion of x in x 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 1 into 1 4.083 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.083 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.083 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.083 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.083 * [taylor]: Taking taylor expansion of 1/2 in x 4.083 * [backup-simplify]: Simplify 1/2 into 1/2 4.083 * [taylor]: Taking taylor expansion of x in x 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.083 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.084 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.084 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.085 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.085 * [taylor]: Taking taylor expansion of x in x 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.085 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.086 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.086 * [backup-simplify]: Simplify (+ 0) into 0 4.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.088 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 4.088 * [backup-simplify]: Simplify (* 1 1) into 1 4.088 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.088 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 4.088 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 4.088 * [taylor]: Taking taylor expansion of (sin x) in x 4.088 * [taylor]: Taking taylor expansion of x in x 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 1 into 1 4.088 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 4.088 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 4.088 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 4.088 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.088 * [taylor]: Taking taylor expansion of 1/2 in x 4.088 * [backup-simplify]: Simplify 1/2 into 1/2 4.088 * [taylor]: Taking taylor expansion of x in x 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 1 into 1 4.089 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.089 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.089 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 4.089 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.089 * [taylor]: Taking taylor expansion of 1/2 in x 4.089 * [backup-simplify]: Simplify 1/2 into 1/2 4.089 * [taylor]: Taking taylor expansion of x in x 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.090 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 4.091 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.092 * [taylor]: Taking taylor expansion of x in x 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 1 into 1 4.092 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.094 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.094 * [backup-simplify]: Simplify (+ 0) into 0 4.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.096 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.096 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 4.097 * [backup-simplify]: Simplify (* 1 1) into 1 4.097 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.097 * [backup-simplify]: Simplify 1/2 into 1/2 4.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.099 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 4.100 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 4.100 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 4.101 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.102 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 4.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.104 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.106 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 4.107 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 4.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.109 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 4.109 * [backup-simplify]: Simplify -1/24 into -1/24 4.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.112 * [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 4.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 4.116 * [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 4.117 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.118 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 4.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 4.119 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.123 * [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 4.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.125 * [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 4.127 * [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 4.130 * [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 4.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 4.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.135 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 4.135 * [backup-simplify]: Simplify 1/720 into 1/720 4.135 * [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))) 4.136 * [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)))) 4.136 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 4.136 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 4.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.136 * [taylor]: Taking taylor expansion of x in x 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 1 into 1 4.136 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 4.136 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.136 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.136 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.136 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.136 * [taylor]: Taking taylor expansion of 1/2 in x 4.136 * [backup-simplify]: Simplify 1/2 into 1/2 4.136 * [taylor]: Taking taylor expansion of x in x 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 1 into 1 4.137 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.137 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.137 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.137 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.137 * [taylor]: Taking taylor expansion of 1/2 in x 4.137 * [backup-simplify]: Simplify 1/2 into 1/2 4.137 * [taylor]: Taking taylor expansion of x in x 4.137 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify 1 into 1 4.137 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.137 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.138 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.138 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.138 * [taylor]: Taking taylor expansion of x in x 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 1 into 1 4.138 * [backup-simplify]: Simplify (/ 1 1) into 1 4.138 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.138 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 4.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.138 * [taylor]: Taking taylor expansion of x in x 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 1 into 1 4.138 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 4.138 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 4.138 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.138 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 4.138 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.138 * [taylor]: Taking taylor expansion of 1/2 in x 4.138 * [backup-simplify]: Simplify 1/2 into 1/2 4.139 * [taylor]: Taking taylor expansion of x in x 4.139 * [backup-simplify]: Simplify 0 into 0 4.139 * [backup-simplify]: Simplify 1 into 1 4.139 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.139 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 4.139 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 4.139 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.139 * [taylor]: Taking taylor expansion of 1/2 in x 4.139 * [backup-simplify]: Simplify 1/2 into 1/2 4.139 * [taylor]: Taking taylor expansion of x in x 4.139 * [backup-simplify]: Simplify 0 into 0 4.139 * [backup-simplify]: Simplify 1 into 1 4.140 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.140 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 4.140 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4.140 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.140 * [taylor]: Taking taylor expansion of x in x 4.140 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify 1 into 1 4.140 * [backup-simplify]: Simplify (/ 1 1) into 1 4.140 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.141 * [backup-simplify]: Simplify (* 1 1) into 1 4.141 * [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))) 4.141 * [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))) 4.141 * [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))) 4.142 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 4.142 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 4.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 4.148 * [backup-simplify]: Simplify 0 into 0 4.149 * [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 4.149 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 4.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 4.153 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 4.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 4.155 * [backup-simplify]: Simplify 0 into 0 4.156 * [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 4.157 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 4.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.160 * [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 4.160 * [backup-simplify]: Simplify 0 into 0 4.160 * [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 4.162 * [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 4.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.164 * [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 4.164 * [backup-simplify]: Simplify 0 into 0 4.164 * [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 4.165 * [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 4.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.168 * [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 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [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))) 4.168 * [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)))) 4.168 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 4.168 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 4.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.168 * [taylor]: Taking taylor expansion of x in x 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify 1 into 1 4.168 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 4.168 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.168 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.168 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.168 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.168 * [taylor]: Taking taylor expansion of -1/2 in x 4.168 * [backup-simplify]: Simplify -1/2 into -1/2 4.168 * [taylor]: Taking taylor expansion of x in x 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify 1 into 1 4.169 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.169 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.169 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.169 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.169 * [taylor]: Taking taylor expansion of -1/2 in x 4.169 * [backup-simplify]: Simplify -1/2 into -1/2 4.169 * [taylor]: Taking taylor expansion of x in x 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 1 into 1 4.169 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.169 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.169 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.169 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.169 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.169 * [taylor]: Taking taylor expansion of -1 in x 4.169 * [backup-simplify]: Simplify -1 into -1 4.169 * [taylor]: Taking taylor expansion of x in x 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 1 into 1 4.170 * [backup-simplify]: Simplify (/ -1 1) into -1 4.170 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.170 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 4.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.170 * [taylor]: Taking taylor expansion of x in x 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify 1 into 1 4.170 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 4.170 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 4.170 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.170 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 4.170 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.170 * [taylor]: Taking taylor expansion of -1/2 in x 4.170 * [backup-simplify]: Simplify -1/2 into -1/2 4.170 * [taylor]: Taking taylor expansion of x in x 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify 1 into 1 4.170 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.170 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 4.170 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 4.170 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 4.170 * [taylor]: Taking taylor expansion of -1/2 in x 4.170 * [backup-simplify]: Simplify -1/2 into -1/2 4.170 * [taylor]: Taking taylor expansion of x in x 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify 1 into 1 4.171 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.171 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 4.171 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4.171 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.171 * [taylor]: Taking taylor expansion of -1 in x 4.171 * [backup-simplify]: Simplify -1 into -1 4.171 * [taylor]: Taking taylor expansion of x in x 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify 1 into 1 4.171 * [backup-simplify]: Simplify (/ -1 1) into -1 4.171 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.172 * [backup-simplify]: Simplify (* 1 1) into 1 4.172 * [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))) 4.172 * [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))) 4.172 * [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))) 4.172 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 4.172 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 4.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [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 4.174 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 4.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [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 4.176 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 4.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [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 4.178 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 4.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.180 * [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 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [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 4.181 * [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 4.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.184 * [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 4.184 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 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 4.186 * [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 4.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.189 * [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 4.189 * [backup-simplify]: Simplify 0 into 0 4.189 * [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))) 4.189 * * * [progress]: simplifying candidates 4.189 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 4.189 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 20 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 21 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 24 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 4.190 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 28 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 36 / 105 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (tan (/ x 2))))) x))> 4.191 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 40 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 42 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 44 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 45 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 46 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 51 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 54 / 105 ] simplifiying candidate # 4.191 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 58 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 59 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 64 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 66 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 67 / 105 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (tan (/ x 2))) x))> 4.192 * * * * [progress]: [ 68 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 70 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 71 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 72 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 74 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 75 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 81 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 4.192 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 92 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 93 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 96 / 105 ] simplifiying candidate #real (real->posit16 (/ (* (/ (sin x) x) (tan (/ x 2))) x))))> 4.193 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 4.193 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 4.195 * [simplify]: Simplifying: (expm1 (* (/ (sin x) x) (tan (/ x 2)))) (log1p (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2))) (+ (- (log (sin x)) (log x)) (log (tan (/ x 2)))) (+ (log (/ (sin x) x)) (log (tan (/ x 2)))) (log (* (/ (sin x) x) (tan (/ x 2)))) (exp (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (cbrt (* (/ (sin x) x) (tan (/ x 2)))) (cbrt (* (/ (sin x) x) (tan (/ x 2))))) (cbrt (* (/ (sin x) x) (tan (/ x 2)))) (* (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2)))) (sqrt (* (/ (sin x) x) (tan (/ x 2)))) (sqrt (* (/ (sin x) x) (tan (/ x 2)))) (* (sin x) (sin (/ x 2))) (* x (cos (/ x 2))) (* (sqrt (/ (sin x) x)) (sqrt (tan (/ x 2)))) (* (sqrt (/ (sin x) x)) (sqrt (tan (/ x 2)))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (sin x) x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (* (/ (sin x) x) (sqrt (tan (/ x 2)))) (* (/ (sin x) x) 1) (* (cbrt (/ (sin x) x)) (tan (/ x 2))) (* (sqrt (/ (sin x) x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) (cbrt x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) (sqrt x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) x) (tan (/ x 2))) (* (/ (sqrt (sin x)) (cbrt x)) (tan (/ x 2))) (* (/ (sqrt (sin x)) (sqrt x)) (tan (/ x 2))) (* (/ (sqrt (sin x)) x) (tan (/ x 2))) (* (/ (sin x) (cbrt x)) (tan (/ x 2))) (* (/ (sin x) (sqrt x)) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))) (* (/ 1 x) (tan (/ x 2))) (* (/ (sin x) x) (sin (/ x 2))) (* (sin x) (tan (/ x 2))) (real->posit16 (* (/ (sin x) x) (tan (/ x 2)))) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (- (log (sin x)) (log x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) (/ 1 1) (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (/ (sin x) 1) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (log1p (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (- (+ (- (log (sin x)) (log x)) (log (tan (/ x 2)))) (log x)) (- (+ (log (/ (sin x) x)) (log (tan (/ x 2)))) (log x)) (- (log (* (/ (sin x) x) (tan (/ x 2)))) (log x)) (log (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (exp (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* x x) x)) (/ (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* x x) x)) (/ (* (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2)))) (* (* x x) x)) (* (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x))) (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (* (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (sqrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (sqrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (- (* (/ (sin x) x) (tan (/ x 2)))) (- x) (/ (/ (sin x) x) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ (/ (sin x) x) (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) (/ (/ (sin x) x) 1) (/ (tan (/ x 2)) x) (/ 1 x) (/ x (* (/ (sin x) x) (tan (/ x 2)))) (/ (* (/ (sin x) x) (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (* (/ (sin x) x) (tan (/ x 2))) (sqrt x)) (/ (* (/ (sin x) x) (tan (/ x 2))) 1) (/ x (tan (/ x 2))) (* x (* x (cos (/ x 2)))) (* x (cos (/ x 2))) (* x x) (real->posit16 (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 4.197 * * [simplify]: iteration 0: 160 enodes 4.237 * * [simplify]: iteration 1: 381 enodes 4.434 * * [simplify]: iteration 2: 1208 enodes 4.679 * * [simplify]: iteration complete: 2006 enodes 4.679 * * [simplify]: Extracting #0: cost 89 inf + 0 4.680 * * [simplify]: Extracting #1: cost 492 inf + 1 4.683 * * [simplify]: Extracting #2: cost 765 inf + 5335 4.689 * * [simplify]: Extracting #3: cost 591 inf + 41646 4.706 * * [simplify]: Extracting #4: cost 204 inf + 151558 4.761 * * [simplify]: Extracting #5: cost 6 inf + 227608 4.819 * * [simplify]: Extracting #6: cost 0 inf + 230081 4.877 * [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))) 4.885 * * * [progress]: adding candidates to table 5.333 * [progress]: [Phase 3 of 3] Extracting. 5.333 * * [regime]: Finding splitpoints for: (# # # # #) 5.335 * * * [regime-changes]: Trying 1 branch expressions: (x) 5.335 * * * * [regimes]: Trying to branch on x from (# # # # #) 5.377 * * * [regime]: Found split indices: #