16.514 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.096 * * * [progress]: [2/2] Setting up program. 0.102 * [progress]: [Phase 2 of 3] Improving. 0.102 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.102 * * [simplify]: iteration 0: 6 enodes 0.104 * * [simplify]: iteration 1: 13 enodes 0.108 * * [simplify]: iteration 2: 21 enodes 0.112 * * [simplify]: iteration 3: 26 enodes 0.118 * * [simplify]: iteration 4: 28 enodes 0.124 * * [simplify]: iteration complete: 28 enodes 0.124 * * [simplify]: Extracting #0: cost 1 inf + 0 0.124 * * [simplify]: Extracting #1: cost 8 inf + 0 0.124 * * [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 0.125 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.127 * * [progress]: iteration 1 / 4 0.127 * * * [progress]: picking best candidate 0.159 * * * * [pick]: Picked # 0.159 * * * [progress]: localizing error 0.180 * * * [progress]: generating rewritten candidates 0.180 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.201 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.207 * * * [progress]: generating series expansions 0.207 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.211 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.212 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.212 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.212 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [backup-simplify]: Simplify 1.0 into 1.0 0.212 * [taylor]: Taking taylor expansion of (cos x) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (- 1) into -1 0.214 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.215 * [backup-simplify]: Simplify (+ 0) into 0 0.215 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.216 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.216 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.217 * [backup-simplify]: Simplify (* 1 1) into 1 0.217 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.217 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.217 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.217 * [taylor]: Taking taylor expansion of 1.0 in x 0.217 * [backup-simplify]: Simplify 1.0 into 1.0 0.217 * [taylor]: Taking taylor expansion of (cos x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (- 1) into -1 0.218 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.218 * [backup-simplify]: Simplify (+ 0) into 0 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.219 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.219 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.220 * [backup-simplify]: Simplify (* 1 1) into 1 0.220 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.220 * [backup-simplify]: Simplify 1/2 into 1/2 0.221 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.226 * [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 0.226 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.227 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.229 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.229 * [backup-simplify]: Simplify -1/24 into -1/24 0.232 * [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 0.232 * [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 1)))) into 0 0.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.241 * [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 0.241 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.242 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.245 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.245 * [backup-simplify]: Simplify 1/720 into 1/720 0.246 * [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))) 0.247 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 0.247 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [backup-simplify]: Simplify 1.0 into 1.0 0.247 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.248 * [taylor]: Taking taylor expansion of 1.0 in x 0.248 * [backup-simplify]: Simplify 1.0 into 1.0 0.248 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.249 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.249 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.250 * [backup-simplify]: Simplify (* 1 1) into 1 0.250 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 0.250 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.267 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 0.267 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.267 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.267 * [taylor]: Taking taylor expansion of 1.0 in x 0.267 * [backup-simplify]: Simplify 1.0 into 1.0 0.267 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.267 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.267 * [taylor]: Taking taylor expansion of -1 in x 0.267 * [backup-simplify]: Simplify -1 into -1 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ -1 1) into -1 0.268 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.268 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.268 * [taylor]: Taking taylor expansion of 1.0 in x 0.268 * [backup-simplify]: Simplify 1.0 into 1.0 0.268 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.268 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.268 * [taylor]: Taking taylor expansion of -1 in x 0.268 * [backup-simplify]: Simplify -1 into -1 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ -1 1) into -1 0.268 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.269 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.269 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.269 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.269 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.281 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.282 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.282 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.282 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.282 * [taylor]: Taking taylor expansion of 1.0 in x 0.282 * [backup-simplify]: Simplify 1.0 into 1.0 0.282 * [taylor]: Taking taylor expansion of (cos x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.282 * [taylor]: Taking taylor expansion of 1.0 in x 0.282 * [backup-simplify]: Simplify 1.0 into 1.0 0.282 * [taylor]: Taking taylor expansion of (cos x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (- 1) into -1 0.282 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (+ 0) into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.284 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.284 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.284 * [backup-simplify]: Simplify 1/2 into 1/2 0.285 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.287 * [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 0.287 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.288 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.288 * [backup-simplify]: Simplify -1/24 into -1/24 0.290 * [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 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.295 * [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 0.296 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.296 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.296 * [backup-simplify]: Simplify 1/720 into 1/720 0.297 * [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))) 0.297 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.297 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.297 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.297 * [taylor]: Taking taylor expansion of 1.0 in x 0.297 * [backup-simplify]: Simplify 1.0 into 1.0 0.297 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.298 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [backup-simplify]: Simplify 1.0 into 1.0 0.298 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.299 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.299 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.299 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.304 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.304 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.304 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.304 * [taylor]: Taking taylor expansion of 1.0 in x 0.304 * [backup-simplify]: Simplify 1.0 into 1.0 0.304 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.304 * [taylor]: Taking taylor expansion of -1 in x 0.304 * [backup-simplify]: Simplify -1 into -1 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (/ -1 1) into -1 0.305 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.305 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [backup-simplify]: Simplify 1.0 into 1.0 0.305 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.305 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.305 * [taylor]: Taking taylor expansion of -1 in x 0.305 * [backup-simplify]: Simplify -1 into -1 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (/ -1 1) into -1 0.306 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.306 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.306 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.306 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.311 * * * [progress]: simplifying candidates 0.313 * [simplify]: Simplifying: (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.314 * * [simplify]: iteration 0: 88 enodes 0.349 * * [simplify]: iteration 1: 232 enodes 0.465 * * [simplify]: iteration 2: 1129 enodes 0.870 * * [simplify]: iteration complete: 5000 enodes 0.870 * * [simplify]: Extracting #0: cost 41 inf + 0 0.871 * * [simplify]: Extracting #1: cost 849 inf + 0 0.877 * * [simplify]: Extracting #2: cost 1982 inf + 18023 0.904 * * [simplify]: Extracting #3: cost 1068 inf + 213484 0.977 * * [simplify]: Extracting #4: cost 130 inf + 382995 1.071 * * [simplify]: Extracting #5: cost 29 inf + 406327 1.171 * * [simplify]: Extracting #6: cost 2 inf + 413973 1.266 * * [simplify]: Extracting #7: cost 0 inf + 414479 1.365 * [simplify]: Simplified to: (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (+ (- 1.0) (cos x)) (- (* x x)) (/ (/ 1.0 x) x) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt (cos x)) (sqrt 1.0)) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (/ 1 x) x) (/ x (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x) (* (/ x (cbrt (- 1.0 (cos x)))) x) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) x)) (* (* x x) (+ (* 1.0 1.0) (* (cos x) (+ (cos x) 1.0)))) (* (* x x) (+ 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x))) (+ (* 1.0 1.0) (* (cos x) (+ (cos x) 1.0))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (+ 1/2 (* (* x x) (+ (* 1/720 (* x x)) -1/24))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (+ (* (* (* x x) x) (- (* 1/720 (* (* x x) x)) (* 1/24 x))) (* (* x x) 1/2)) (- 1.0 (cos x)) (- 1.0 (cos x)) 1.368 * * * [progress]: adding candidates to table 1.553 * * [progress]: iteration 2 / 4 1.553 * * * [progress]: picking best candidate 1.608 * * * * [pick]: Picked # 1.608 * * * [progress]: localizing error 1.642 * * * [progress]: generating rewritten candidates 1.642 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.647 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.652 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.743 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.768 * * * [progress]: generating series expansions 1.768 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.769 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.769 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.769 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.769 * [taylor]: Taking taylor expansion of 1.0 in x 1.769 * [backup-simplify]: Simplify 1.0 into 1.0 1.769 * [taylor]: Taking taylor expansion of (cos x) in x 1.769 * [taylor]: Taking taylor expansion of x in x 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 1 into 1 1.769 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.769 * [taylor]: Taking taylor expansion of 1.0 in x 1.769 * [backup-simplify]: Simplify 1.0 into 1.0 1.769 * [taylor]: Taking taylor expansion of (cos x) in x 1.769 * [taylor]: Taking taylor expansion of x in x 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 1 into 1 1.770 * [backup-simplify]: Simplify (- 1) into -1 1.770 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.770 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify (+ 0) into 0 1.771 * [backup-simplify]: Simplify (- 0) into 0 1.771 * [backup-simplify]: Simplify (+ 0 0) into 0 1.771 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.773 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.773 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.773 * [backup-simplify]: Simplify 1/2 into 1/2 1.774 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.775 * [backup-simplify]: Simplify (- 0) into 0 1.775 * [backup-simplify]: Simplify (+ 0 0) into 0 1.775 * [backup-simplify]: Simplify 0 into 0 1.777 * [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 1.778 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.778 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.778 * [backup-simplify]: Simplify -1/24 into -1/24 1.780 * [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 1.781 * [backup-simplify]: Simplify (- 0) into 0 1.781 * [backup-simplify]: Simplify (+ 0 0) into 0 1.781 * [backup-simplify]: Simplify 0 into 0 1.786 * [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 1.787 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.787 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.787 * [backup-simplify]: Simplify 1/720 into 1/720 1.788 * [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))) 1.788 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.788 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.788 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.788 * [taylor]: Taking taylor expansion of 1.0 in x 1.788 * [backup-simplify]: Simplify 1.0 into 1.0 1.788 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.788 * [taylor]: Taking taylor expansion of x in x 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 1 into 1 1.789 * [backup-simplify]: Simplify (/ 1 1) into 1 1.789 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.789 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.789 * [taylor]: Taking taylor expansion of 1.0 in x 1.789 * [backup-simplify]: Simplify 1.0 into 1.0 1.789 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 1 into 1 1.790 * [backup-simplify]: Simplify (/ 1 1) into 1 1.790 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.790 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.790 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.790 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.791 * [backup-simplify]: Simplify (- 0) into 0 1.791 * [backup-simplify]: Simplify (+ 0 0) into 0 1.791 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify (- 0) into 0 1.792 * [backup-simplify]: Simplify (+ 0 0) into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify (- 0) into 0 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (- 0) into 0 1.794 * [backup-simplify]: Simplify (+ 0 0) into 0 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify (- 0) into 0 1.794 * [backup-simplify]: Simplify (+ 0 0) into 0 1.794 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify (- 0) into 0 1.795 * [backup-simplify]: Simplify (+ 0 0) into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.795 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.795 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.795 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.796 * [taylor]: Taking taylor expansion of 1.0 in x 1.796 * [backup-simplify]: Simplify 1.0 into 1.0 1.796 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.796 * [taylor]: Taking taylor expansion of -1 in x 1.796 * [backup-simplify]: Simplify -1 into -1 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (/ -1 1) into -1 1.796 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.796 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.796 * [taylor]: Taking taylor expansion of 1.0 in x 1.796 * [backup-simplify]: Simplify 1.0 into 1.0 1.796 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.796 * [taylor]: Taking taylor expansion of -1 in x 1.796 * [backup-simplify]: Simplify -1 into -1 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 1 into 1 1.797 * [backup-simplify]: Simplify (/ -1 1) into -1 1.797 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.797 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.797 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.797 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.798 * [backup-simplify]: Simplify (- 0) into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify (- 0) into 0 1.799 * [backup-simplify]: Simplify (+ 0 0) into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify (- 0) into 0 1.800 * [backup-simplify]: Simplify (+ 0 0) into 0 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify (- 0) into 0 1.801 * [backup-simplify]: Simplify (+ 0 0) into 0 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify (- 0) into 0 1.801 * [backup-simplify]: Simplify (+ 0 0) into 0 1.801 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify (- 0) into 0 1.802 * [backup-simplify]: Simplify (+ 0 0) into 0 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.803 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.803 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.803 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.803 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.803 * [taylor]: Taking taylor expansion of 1.0 in x 1.803 * [backup-simplify]: Simplify 1.0 into 1.0 1.803 * [taylor]: Taking taylor expansion of (cos x) in x 1.803 * [taylor]: Taking taylor expansion of x in x 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.803 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.803 * [taylor]: Taking taylor expansion of 1.0 in x 1.803 * [backup-simplify]: Simplify 1.0 into 1.0 1.803 * [taylor]: Taking taylor expansion of (cos x) in x 1.803 * [taylor]: Taking taylor expansion of x in x 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.804 * [backup-simplify]: Simplify (- 1) into -1 1.804 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.804 * [backup-simplify]: Simplify 0 into 0 1.804 * [backup-simplify]: Simplify (+ 0) into 0 1.805 * [backup-simplify]: Simplify (- 0) into 0 1.805 * [backup-simplify]: Simplify (+ 0 0) into 0 1.805 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.807 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.807 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.807 * [backup-simplify]: Simplify 1/2 into 1/2 1.808 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.809 * [backup-simplify]: Simplify (- 0) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.812 * [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 1.812 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.813 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.813 * [backup-simplify]: Simplify -1/24 into -1/24 1.815 * [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 1.815 * [backup-simplify]: Simplify (- 0) into 0 1.816 * [backup-simplify]: Simplify (+ 0 0) into 0 1.816 * [backup-simplify]: Simplify 0 into 0 1.820 * [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 1.821 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.821 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.821 * [backup-simplify]: Simplify 1/720 into 1/720 1.822 * [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))) 1.822 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.822 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.822 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.822 * [taylor]: Taking taylor expansion of 1.0 in x 1.822 * [backup-simplify]: Simplify 1.0 into 1.0 1.822 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.823 * [backup-simplify]: Simplify (/ 1 1) into 1 1.823 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.823 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.823 * [taylor]: Taking taylor expansion of 1.0 in x 1.823 * [backup-simplify]: Simplify 1.0 into 1.0 1.823 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (/ 1 1) into 1 1.824 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.824 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.824 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.824 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.824 * [backup-simplify]: Simplify (- 0) into 0 1.825 * [backup-simplify]: Simplify (+ 0 0) into 0 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify (- 0) into 0 1.825 * [backup-simplify]: Simplify (+ 0 0) into 0 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify (- 0) into 0 1.826 * [backup-simplify]: Simplify (+ 0 0) into 0 1.826 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify (- 0) into 0 1.827 * [backup-simplify]: Simplify (+ 0 0) into 0 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify (- 0) into 0 1.828 * [backup-simplify]: Simplify (+ 0 0) into 0 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify (- 0) into 0 1.828 * [backup-simplify]: Simplify (+ 0 0) into 0 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.829 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.829 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.829 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.829 * [taylor]: Taking taylor expansion of 1.0 in x 1.829 * [backup-simplify]: Simplify 1.0 into 1.0 1.829 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.829 * [taylor]: Taking taylor expansion of -1 in x 1.829 * [backup-simplify]: Simplify -1 into -1 1.829 * [taylor]: Taking taylor expansion of x in x 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 1 into 1 1.829 * [backup-simplify]: Simplify (/ -1 1) into -1 1.829 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.829 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.829 * [taylor]: Taking taylor expansion of 1.0 in x 1.829 * [backup-simplify]: Simplify 1.0 into 1.0 1.829 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.829 * [taylor]: Taking taylor expansion of -1 in x 1.829 * [backup-simplify]: Simplify -1 into -1 1.829 * [taylor]: Taking taylor expansion of x in x 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify 1 into 1 1.830 * [backup-simplify]: Simplify (/ -1 1) into -1 1.830 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.830 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.830 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.830 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.831 * [backup-simplify]: Simplify (- 0) into 0 1.831 * [backup-simplify]: Simplify (+ 0 0) into 0 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify (- 0) into 0 1.832 * [backup-simplify]: Simplify (+ 0 0) into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify (- 0) into 0 1.832 * [backup-simplify]: Simplify (+ 0 0) into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify (- 0) into 0 1.833 * [backup-simplify]: Simplify (+ 0 0) into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify (- 0) into 0 1.834 * [backup-simplify]: Simplify (+ 0 0) into 0 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify (- 0) into 0 1.834 * [backup-simplify]: Simplify (+ 0 0) into 0 1.834 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.835 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.835 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) into (/ (- 1.0 (cos x)) (pow x 2)) 1.835 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 1.835 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.835 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.835 * [taylor]: Taking taylor expansion of 1.0 in x 1.835 * [backup-simplify]: Simplify 1.0 into 1.0 1.835 * [taylor]: Taking taylor expansion of (cos x) in x 1.835 * [taylor]: Taking taylor expansion of x in x 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 1 into 1 1.835 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.835 * [taylor]: Taking taylor expansion of x in x 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify (- 1) into -1 1.836 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.836 * [backup-simplify]: Simplify (+ 0) into 0 1.837 * [backup-simplify]: Simplify (- 0) into 0 1.837 * [backup-simplify]: Simplify (+ 0 0) into 0 1.838 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.838 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.839 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.839 * [backup-simplify]: Simplify (* 1 1) into 1 1.839 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.839 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.839 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.839 * [taylor]: Taking taylor expansion of 1.0 in x 1.839 * [backup-simplify]: Simplify 1.0 into 1.0 1.839 * [taylor]: Taking taylor expansion of (cos x) in x 1.839 * [taylor]: Taking taylor expansion of x in x 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [backup-simplify]: Simplify (- 1) into -1 1.840 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.841 * [backup-simplify]: Simplify (+ 0) into 0 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify (+ 0 0) into 0 1.842 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.842 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.843 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.843 * [backup-simplify]: Simplify (* 1 1) into 1 1.844 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.844 * [backup-simplify]: Simplify 1/2 into 1/2 1.845 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.845 * [backup-simplify]: Simplify (- 0) into 0 1.845 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.847 * [backup-simplify]: Simplify 0 into 0 1.849 * [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 1.850 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.850 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.852 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 1.852 * [backup-simplify]: Simplify -1/24 into -1/24 1.859 * [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 1.859 * [backup-simplify]: Simplify (- 0) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.866 * [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 1.867 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.867 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.870 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 1.870 * [backup-simplify]: Simplify 1/720 into 1/720 1.870 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 1.870 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x)) (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x))) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 1.870 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 1.870 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 1.870 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.870 * [taylor]: Taking taylor expansion of 1.0 in x 1.871 * [backup-simplify]: Simplify 1.0 into 1.0 1.871 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.871 * [taylor]: Taking taylor expansion of x in x 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [backup-simplify]: Simplify (/ 1 1) into 1 1.871 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.871 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.871 * [taylor]: Taking taylor expansion of x in x 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 1.871 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.871 * [taylor]: Taking taylor expansion of 1.0 in x 1.871 * [backup-simplify]: Simplify 1.0 into 1.0 1.871 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.871 * [taylor]: Taking taylor expansion of x in x 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (/ 1 1) into 1 1.872 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.872 * [taylor]: Taking taylor expansion of x in x 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.872 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.872 * [backup-simplify]: Simplify (* 1 1) into 1 1.873 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 1.873 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.874 * [backup-simplify]: Simplify (- 0) into 0 1.874 * [backup-simplify]: Simplify (+ 0 0) into 0 1.874 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 1.874 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.876 * [backup-simplify]: Simplify (- 0) into 0 1.876 * [backup-simplify]: Simplify (+ 0 0) into 0 1.877 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 1.877 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (- 0) into 0 1.878 * [backup-simplify]: Simplify (+ 0 0) into 0 1.879 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.879 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.880 * [backup-simplify]: Simplify (- 0) into 0 1.881 * [backup-simplify]: Simplify (+ 0 0) into 0 1.882 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.883 * [backup-simplify]: Simplify (- 0) into 0 1.884 * [backup-simplify]: Simplify (+ 0 0) into 0 1.885 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.887 * [backup-simplify]: Simplify (- 0) into 0 1.887 * [backup-simplify]: Simplify (+ 0 0) into 0 1.888 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 1.889 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x))) (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x)))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 1.889 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.889 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 1.889 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.889 * [taylor]: Taking taylor expansion of x in x 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.889 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.889 * [taylor]: Taking taylor expansion of 1.0 in x 1.889 * [backup-simplify]: Simplify 1.0 into 1.0 1.889 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.889 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.889 * [taylor]: Taking taylor expansion of -1 in x 1.889 * [backup-simplify]: Simplify -1 into -1 1.889 * [taylor]: Taking taylor expansion of x in x 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.890 * [backup-simplify]: Simplify (/ -1 1) into -1 1.890 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.890 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 1.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.890 * [taylor]: Taking taylor expansion of x in x 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.890 * [taylor]: Taking taylor expansion of 1.0 in x 1.890 * [backup-simplify]: Simplify 1.0 into 1.0 1.890 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.890 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.890 * [taylor]: Taking taylor expansion of -1 in x 1.890 * [backup-simplify]: Simplify -1 into -1 1.890 * [taylor]: Taking taylor expansion of x in x 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [backup-simplify]: Simplify (/ -1 1) into -1 1.890 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.891 * [backup-simplify]: Simplify (* 1 1) into 1 1.891 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.891 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.891 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.891 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.892 * [backup-simplify]: Simplify (- 0) into 0 1.892 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 1.893 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify (- 0) into 0 1.894 * [backup-simplify]: Simplify (+ 0 0) into 0 1.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify (- 0) into 0 1.896 * [backup-simplify]: Simplify (+ 0 0) into 0 1.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 1.898 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (- 0) into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify (- 0) into 0 1.902 * [backup-simplify]: Simplify (+ 0 0) into 0 1.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 1.905 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify (- 0) into 0 1.906 * [backup-simplify]: Simplify (+ 0 0) into 0 1.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 1.910 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.911 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos x))) x) into (* (/ 1 x) (sqrt (- 1.0 (cos x)))) 1.911 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (cos x)))) in (x) around 0 1.911 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (cos x)))) in x 1.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.911 * [taylor]: Taking taylor expansion of x in x 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (/ 1 1) into 1 1.911 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.911 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.911 * [taylor]: Taking taylor expansion of 1.0 in x 1.911 * [backup-simplify]: Simplify 1.0 into 1.0 1.911 * [taylor]: Taking taylor expansion of (cos x) in x 1.911 * [taylor]: Taking taylor expansion of x in x 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (- 1) into -1 1.912 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.913 * [backup-simplify]: Simplify (+ 0) into 0 1.913 * [backup-simplify]: Simplify (- 0) into 0 1.913 * [backup-simplify]: Simplify (+ 0 0) into 0 1.914 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.914 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.915 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.915 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.916 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.917 * [backup-simplify]: Simplify (- 0) into 0 1.917 * [backup-simplify]: Simplify (+ 0 0) into 0 1.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.918 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (cos x)))) in x 1.918 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.918 * [taylor]: Taking taylor expansion of x in x 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.918 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.918 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.918 * [taylor]: Taking taylor expansion of 1.0 in x 1.918 * [backup-simplify]: Simplify 1.0 into 1.0 1.918 * [taylor]: Taking taylor expansion of (cos x) in x 1.918 * [taylor]: Taking taylor expansion of x in x 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.919 * [backup-simplify]: Simplify (- 1) into -1 1.919 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.920 * [backup-simplify]: Simplify (+ 0) into 0 1.920 * [backup-simplify]: Simplify (- 0) into 0 1.920 * [backup-simplify]: Simplify (+ 0 0) into 0 1.921 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.921 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.922 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.922 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.923 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.924 * [backup-simplify]: Simplify (- 0) into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.926 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2) 1.926 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0 1.928 * [backup-simplify]: Simplify 0 into 0 1.931 * [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 1.931 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.932 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.934 * [backup-simplify]: Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (+ (* 1 (/ -1/48 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 1.941 * [backup-simplify]: Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 1.943 * [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 1.944 * [backup-simplify]: Simplify (- 0) into 0 1.944 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 1.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -1/48 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.954 * [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 1.955 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.955 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.961 * [backup-simplify]: Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify (+ (* 1 (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (+ (* 0 0) (+ (* 0 (/ -1/48 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 1.979 * [backup-simplify]: Simplify (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 1.984 * [backup-simplify]: Simplify (+ (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) 1.984 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x)) into (* (sqrt (- 1.0 (cos (/ 1 x)))) x) 1.984 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ 1 x)))) x) in (x) around 0 1.984 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ 1 x)))) x) in x 1.984 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.984 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.984 * [taylor]: Taking taylor expansion of 1.0 in x 1.984 * [backup-simplify]: Simplify 1.0 into 1.0 1.984 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.984 * [taylor]: Taking taylor expansion of x in x 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.993 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.993 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.993 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 1.995 * [backup-simplify]: Simplify (- 0) into 0 1.995 * [backup-simplify]: Simplify (+ 0 0) into 0 1.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 1.995 * [taylor]: Taking taylor expansion of x in x 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ 1 x)))) x) in x 1.995 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.995 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.995 * [taylor]: Taking taylor expansion of 1.0 in x 1.995 * [backup-simplify]: Simplify 1.0 into 1.0 1.995 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify (/ 1 1) into 1 1.996 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.996 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.996 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.996 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 1.996 * [backup-simplify]: Simplify (- 0) into 0 1.997 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 1.997 * [taylor]: Taking taylor expansion of x in x 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 1) (* 0 0)) into (sqrt (- 1.0 (cos (/ 1 x)))) 1.998 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 1.998 * [backup-simplify]: Simplify (- 0) into 0 1.998 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.000 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 1) (* 0 0))) into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (- 0) into 0 2.000 * [backup-simplify]: Simplify (+ 0 0) into 0 2.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.002 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify (- 0) into 0 2.002 * [backup-simplify]: Simplify (+ 0 0) into 0 2.003 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.004 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (- 0) into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.006 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify (- 0) into 0 2.007 * [backup-simplify]: Simplify (+ 0 0) into 0 2.007 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.008 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify (- 0) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.011 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 x)) into (* (/ 1 x) (sqrt (- 1.0 (cos x)))) 2.011 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* x (sqrt (- 1.0 (cos (/ -1 x)))))) 2.011 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (cos (/ -1 x)))))) in (x) around 0 2.011 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (cos (/ -1 x)))))) in x 2.011 * [taylor]: Taking taylor expansion of -1 in x 2.011 * [backup-simplify]: Simplify -1 into -1 2.011 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ -1 x))))) in x 2.011 * [taylor]: Taking taylor expansion of x in x 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.011 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.011 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.011 * [taylor]: Taking taylor expansion of 1.0 in x 2.012 * [backup-simplify]: Simplify 1.0 into 1.0 2.012 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.012 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.012 * [taylor]: Taking taylor expansion of -1 in x 2.012 * [backup-simplify]: Simplify -1 into -1 2.012 * [taylor]: Taking taylor expansion of x in x 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (/ -1 1) into -1 2.012 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.012 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.012 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.012 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 2.013 * [backup-simplify]: Simplify (- 0) into 0 2.013 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.013 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (cos (/ -1 x)))))) in x 2.013 * [taylor]: Taking taylor expansion of -1 in x 2.013 * [backup-simplify]: Simplify -1 into -1 2.013 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ -1 x))))) in x 2.013 * [taylor]: Taking taylor expansion of x in x 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.013 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.013 * [taylor]: Taking taylor expansion of 1.0 in x 2.013 * [backup-simplify]: Simplify 1.0 into 1.0 2.013 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.013 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.013 * [taylor]: Taking taylor expansion of -1 in x 2.013 * [backup-simplify]: Simplify -1 into -1 2.013 * [taylor]: Taking taylor expansion of x in x 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (/ -1 1) into -1 2.014 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.014 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.014 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.014 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 2.014 * [backup-simplify]: Simplify (- 0) into 0 2.014 * [backup-simplify]: Simplify (+ 0 0) into 0 2.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.015 * [backup-simplify]: Simplify (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) into 0 2.015 * [backup-simplify]: Simplify (* -1 0) into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (- 1.0 (cos (/ -1 x)))))) into (sqrt (- 1.0 (cos (/ -1 x)))) 2.016 * [backup-simplify]: Simplify (+ (* -1 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 2.016 * [backup-simplify]: Simplify (- (sqrt (- 1.0 (cos (/ -1 x))))) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 2.016 * [backup-simplify]: Simplify (- 0) into 0 2.016 * [backup-simplify]: Simplify (+ 0 0) into 0 2.017 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.017 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x))))))) into 0 2.018 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))) into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (- 0) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x)))))))) into 0 2.021 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))) into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (- 0) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.022 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x))))))))) into 0 2.024 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))) into 0 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify (- 0) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.025 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x)))))))))) into 0 2.027 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))) into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (- 0) into 0 2.028 * [backup-simplify]: Simplify (+ 0 0) into 0 2.028 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x))))))))))) into 0 2.031 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))))) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (- 0) into 0 2.032 * [backup-simplify]: Simplify (+ 0 0) into 0 2.032 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x)))))))))))) into 0 2.035 * 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1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (/ 1 x) (sqrt (- 1.0 (cos x)))) (* (/ 1 x) (sqrt (- 1.0 (cos x)))) 2.042 * * [simplify]: iteration 0: 231 enodes 2.107 * * [simplify]: iteration 1: 737 enodes 2.438 * * [simplify]: iteration complete: 5000 enodes 2.438 * * [simplify]: Extracting #0: cost 134 inf + 0 2.444 * * [simplify]: Extracting #1: cost 1670 inf + 2 2.450 * * [simplify]: Extracting #2: cost 2003 inf + 2646 2.457 * * [simplify]: Extracting #3: cost 1978 inf + 8533 2.467 * * [simplify]: Extracting #4: cost 1793 inf + 39996 2.526 * * [simplify]: Extracting #5: cost 1108 inf + 226830 2.641 * * [simplify]: Extracting #6: cost 189 inf + 511761 2.758 * * [simplify]: Extracting #7: cost 0 inf + 575097 2.861 * * [simplify]: Extracting #8: cost 0 inf + 574777 2.978 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 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x)))) x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) x) (/ (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x))) x) (/ (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (sqrt (- 1.0 (cos x)))) x) (/ (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ x (sqrt (- 1.0 (cos x))))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) x) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (- 1.0 (cos x)) 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(cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt (cos x)) (sqrt 1.0))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt (cos x)) (sqrt 1.0))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (sqrt (+ (sqrt (cos x)) (sqrt 1.0))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (* x (sqrt (+ (cos x) 1.0))) (+ (- (* 1/720 (* (* x (* x x)) (* x (* x x)))) (* (* (* x x) (* x x)) 1/24)) (* (* x x) 1/2)) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (- (* 1/720 (* (* x (* x x)) (* x (* x x)))) (* (* (* x x) (* x x)) 1/24)) (* (* x x) 1/2)) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (- 1/2 (* x (* x 1/24))) (* (* 1/720 (* x x)) (* x x))) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (- (+ (* 1/1440 (/ (* (* x x) (* x x)) (sqrt 1/2))) (- (sqrt 1/2) (/ (* 1/48 (* x x)) (sqrt 1/2)))) (/ (/ (* 1/4608 (* (* x x) (* x x))) (sqrt 1/2)) 1/2)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 2.993 * * * [progress]: adding candidates to table 3.774 * * [progress]: iteration 3 / 4 3.774 * * * [progress]: picking best candidate 3.855 * * * * [pick]: Picked # 3.855 * * * [progress]: localizing error 3.873 * * * [progress]: generating rewritten candidates 3.874 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 3.883 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 3.908 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 3.951 * * * [progress]: generating series expansions 3.951 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 3.951 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 3.951 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 3.951 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.951 * [taylor]: Taking taylor expansion of 1.0 in x 3.951 * [backup-simplify]: Simplify 1.0 into 1.0 3.951 * [taylor]: Taking taylor expansion of (cos x) in x 3.951 * [taylor]: Taking taylor expansion of x in x 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify 1 into 1 3.952 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.952 * [taylor]: Taking taylor expansion of 1.0 in x 3.952 * [backup-simplify]: Simplify 1.0 into 1.0 3.952 * [taylor]: Taking taylor expansion of (cos x) in x 3.952 * [taylor]: Taking taylor expansion of x in x 3.952 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify 1 into 1 3.953 * [backup-simplify]: Simplify (- 1) into -1 3.953 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify (+ 0) into 0 3.954 * [backup-simplify]: Simplify (- 0) into 0 3.954 * [backup-simplify]: Simplify (+ 0 0) into 0 3.954 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.956 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.956 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.956 * [backup-simplify]: Simplify 1/2 into 1/2 3.957 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.958 * [backup-simplify]: Simplify (- 0) into 0 3.958 * [backup-simplify]: Simplify (+ 0 0) into 0 3.958 * [backup-simplify]: Simplify 0 into 0 3.961 * [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 3.962 * [backup-simplify]: Simplify (- 1/24) into -1/24 3.962 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 3.962 * [backup-simplify]: Simplify -1/24 into -1/24 3.964 * [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 3.965 * [backup-simplify]: Simplify (- 0) into 0 3.965 * [backup-simplify]: Simplify (+ 0 0) into 0 3.965 * [backup-simplify]: Simplify 0 into 0 3.970 * [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 3.971 * [backup-simplify]: Simplify (- -1/720) into 1/720 3.971 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 3.971 * [backup-simplify]: Simplify 1/720 into 1/720 3.972 * [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))) 3.972 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.972 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 3.972 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.972 * [taylor]: Taking taylor expansion of 1.0 in x 3.972 * [backup-simplify]: Simplify 1.0 into 1.0 3.972 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.972 * [taylor]: Taking taylor expansion of x in x 3.973 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify 1 into 1 3.973 * [backup-simplify]: Simplify (/ 1 1) into 1 3.973 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.973 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.973 * [taylor]: Taking taylor expansion of 1.0 in x 3.973 * [backup-simplify]: Simplify 1.0 into 1.0 3.973 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.973 * [taylor]: Taking taylor expansion of x in x 3.973 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify 1 into 1 3.974 * [backup-simplify]: Simplify (/ 1 1) into 1 3.974 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.974 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 3.974 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.974 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.975 * [backup-simplify]: Simplify (- 0) into 0 3.975 * [backup-simplify]: Simplify (+ 0 0) into 0 3.975 * [backup-simplify]: Simplify 0 into 0 3.975 * [backup-simplify]: Simplify (- 0) into 0 3.976 * [backup-simplify]: Simplify (+ 0 0) into 0 3.976 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify (- 0) into 0 3.976 * [backup-simplify]: Simplify (+ 0 0) into 0 3.977 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify (- 0) into 0 3.977 * [backup-simplify]: Simplify (+ 0 0) into 0 3.977 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify (- 0) into 0 3.978 * [backup-simplify]: Simplify (+ 0 0) into 0 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify (- 0) into 0 3.979 * [backup-simplify]: Simplify (+ 0 0) into 0 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 3.979 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 3.979 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 3.979 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.979 * [taylor]: Taking taylor expansion of 1.0 in x 3.979 * [backup-simplify]: Simplify 1.0 into 1.0 3.979 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.979 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.979 * [taylor]: Taking taylor expansion of -1 in x 3.979 * [backup-simplify]: Simplify -1 into -1 3.979 * [taylor]: Taking taylor expansion of x in x 3.980 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify 1 into 1 3.980 * [backup-simplify]: Simplify (/ -1 1) into -1 3.980 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.980 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.980 * [taylor]: Taking taylor expansion of 1.0 in x 3.980 * [backup-simplify]: Simplify 1.0 into 1.0 3.980 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.980 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.980 * [taylor]: Taking taylor expansion of -1 in x 3.980 * [backup-simplify]: Simplify -1 into -1 3.980 * [taylor]: Taking taylor expansion of x in x 3.980 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify 1 into 1 3.981 * [backup-simplify]: Simplify (/ -1 1) into -1 3.981 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.981 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 3.981 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 3.981 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 3.982 * [backup-simplify]: Simplify (- 0) into 0 3.982 * [backup-simplify]: Simplify (+ 0 0) into 0 3.982 * [backup-simplify]: Simplify 0 into 0 3.982 * [backup-simplify]: Simplify (- 0) into 0 3.983 * [backup-simplify]: Simplify (+ 0 0) into 0 3.983 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify (- 0) into 0 3.984 * [backup-simplify]: Simplify (+ 0 0) into 0 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify (- 0) into 0 3.984 * [backup-simplify]: Simplify (+ 0 0) into 0 3.984 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify (- 0) into 0 3.985 * [backup-simplify]: Simplify (+ 0 0) into 0 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify (- 0) into 0 3.986 * [backup-simplify]: Simplify (+ 0 0) into 0 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 3.986 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 3.986 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 3.986 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 3.986 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 3.986 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.986 * [taylor]: Taking taylor expansion of 1.0 in x 3.986 * [backup-simplify]: Simplify 1.0 into 1.0 3.986 * [taylor]: Taking taylor expansion of (cos x) in x 3.986 * [taylor]: Taking taylor expansion of x in x 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify 1 into 1 3.986 * [taylor]: Taking taylor expansion of x in x 3.986 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify 1 into 1 3.987 * [backup-simplify]: Simplify (- 1) into -1 3.987 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.988 * [backup-simplify]: Simplify (+ 0) into 0 3.988 * [backup-simplify]: Simplify (- 0) into 0 3.988 * [backup-simplify]: Simplify (+ 0 0) into 0 3.989 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.990 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.990 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.991 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.991 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 3.991 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.991 * [taylor]: Taking taylor expansion of 1.0 in x 3.991 * [backup-simplify]: Simplify 1.0 into 1.0 3.991 * [taylor]: Taking taylor expansion of (cos 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 * [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) into -1 3.992 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.992 * [backup-simplify]: Simplify (+ 0) into 0 3.993 * [backup-simplify]: Simplify (- 0) into 0 3.993 * [backup-simplify]: Simplify (+ 0 0) into 0 3.994 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.994 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.995 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.995 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.995 * [backup-simplify]: Simplify 1/2 into 1/2 3.996 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.997 * [backup-simplify]: Simplify (- 0) into 0 3.997 * [backup-simplify]: Simplify (+ 0 0) into 0 3.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.998 * [backup-simplify]: Simplify 0 into 0 4.001 * [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 4.001 * [backup-simplify]: Simplify (- 1/24) into -1/24 4.002 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 4.003 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 4.003 * [backup-simplify]: Simplify -1/24 into -1/24 4.005 * [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 4.006 * [backup-simplify]: Simplify (- 0) into 0 4.006 * [backup-simplify]: Simplify (+ 0 0) into 0 4.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.013 * [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 4.013 * [backup-simplify]: Simplify (- -1/720) into 1/720 4.013 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 4.015 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 4.015 * [backup-simplify]: Simplify 1/720 into 1/720 4.016 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 4.016 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* (- 1.0 (cos (/ 1 x))) x) 4.016 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in (x) around 0 4.016 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 4.016 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.016 * [taylor]: Taking taylor expansion of 1.0 in x 4.016 * [backup-simplify]: Simplify 1.0 into 1.0 4.016 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.016 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.016 * [taylor]: Taking taylor expansion of x in x 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 1 into 1 4.017 * [backup-simplify]: Simplify (/ 1 1) into 1 4.017 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.017 * [taylor]: Taking taylor expansion of x in x 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 1 into 1 4.017 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 4.017 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.017 * [taylor]: Taking taylor expansion of 1.0 in x 4.017 * [backup-simplify]: Simplify 1.0 into 1.0 4.017 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.017 * [taylor]: Taking taylor expansion of x in x 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify (/ 1 1) into 1 4.018 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.018 * [taylor]: Taking taylor expansion of x in x 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.018 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.018 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 4.018 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify (- 0) into 0 4.019 * [backup-simplify]: Simplify (+ 0 0) into 0 4.020 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 4.020 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 4.020 * [backup-simplify]: Simplify (- 0) into 0 4.021 * [backup-simplify]: Simplify (+ 0 0) into 0 4.021 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 4.021 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify (- 0) into 0 4.022 * [backup-simplify]: Simplify (+ 0 0) into 0 4.023 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify (- 0) into 0 4.024 * [backup-simplify]: Simplify (+ 0 0) into 0 4.025 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify (- 0) into 0 4.026 * [backup-simplify]: Simplify (+ 0 0) into 0 4.027 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify (- 0) into 0 4.028 * [backup-simplify]: Simplify (+ 0 0) into 0 4.029 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.029 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify (- 0) into 0 4.030 * [backup-simplify]: Simplify (+ 0 0) into 0 4.032 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 4.032 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* x (- 1.0 (cos (/ -1 x))))) 4.032 * [approximate]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in (x) around 0 4.032 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 4.032 * [taylor]: Taking taylor expansion of -1 in x 4.032 * [backup-simplify]: Simplify -1 into -1 4.032 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 4.033 * [taylor]: Taking taylor expansion of x in x 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 1 into 1 4.033 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.033 * [taylor]: Taking taylor expansion of 1.0 in x 4.033 * [backup-simplify]: Simplify 1.0 into 1.0 4.033 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.033 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.033 * [taylor]: Taking taylor expansion of -1 in x 4.033 * [backup-simplify]: Simplify -1 into -1 4.033 * [taylor]: Taking taylor expansion of x in x 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 1 into 1 4.034 * [backup-simplify]: Simplify (/ -1 1) into -1 4.034 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.034 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 4.034 * [taylor]: Taking taylor expansion of -1 in x 4.034 * [backup-simplify]: Simplify -1 into -1 4.034 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 4.034 * [taylor]: Taking taylor expansion of x in x 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 1 into 1 4.034 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.034 * [taylor]: Taking taylor expansion of 1.0 in x 4.034 * [backup-simplify]: Simplify 1.0 into 1.0 4.034 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.034 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.034 * [taylor]: Taking taylor expansion of -1 in x 4.034 * [backup-simplify]: Simplify -1 into -1 4.034 * [taylor]: Taking taylor expansion of x in x 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 1 into 1 4.035 * [backup-simplify]: Simplify (/ -1 1) into -1 4.035 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.035 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.035 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.035 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 4.036 * [backup-simplify]: Simplify (* -1 0) into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify (- 0) into 0 4.037 * [backup-simplify]: Simplify (+ 0 0) into 0 4.037 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 4.038 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 4.038 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 4.038 * [backup-simplify]: Simplify (- 0) into 0 4.039 * [backup-simplify]: Simplify (+ 0 0) into 0 4.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 4.041 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify (- 0) into 0 4.041 * [backup-simplify]: Simplify (+ 0 0) into 0 4.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 4.044 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 4.044 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify (- 0) into 0 4.045 * [backup-simplify]: Simplify (+ 0 0) into 0 4.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 4.048 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 4.048 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify (- 0) into 0 4.049 * [backup-simplify]: Simplify (+ 0 0) into 0 4.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 4.053 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 4.053 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify (- 0) into 0 4.054 * [backup-simplify]: Simplify (+ 0 0) into 0 4.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 4.061 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 4.061 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify (- 0) into 0 4.062 * [backup-simplify]: Simplify (+ 0 0) into 0 4.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))))) into 0 4.067 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))))) into 0 4.067 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 4.068 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.068 * [backup-simplify]: Simplify (* (/ (- 1.0 (cos x)) x) (/ 1 x)) into (/ (- 1.0 (cos x)) (pow x 2)) 4.068 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 4.068 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 4.068 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.068 * [taylor]: Taking taylor expansion of 1.0 in x 4.068 * [backup-simplify]: Simplify 1.0 into 1.0 4.068 * [taylor]: Taking taylor expansion of (cos x) in x 4.068 * [taylor]: Taking taylor expansion of x in x 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify 1 into 1 4.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.068 * [taylor]: Taking taylor expansion of x in x 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify 1 into 1 4.075 * [backup-simplify]: Simplify (- 1) into -1 4.076 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.076 * [backup-simplify]: Simplify (+ 0) into 0 4.076 * [backup-simplify]: Simplify (- 0) into 0 4.077 * [backup-simplify]: Simplify (+ 0 0) into 0 4.078 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.078 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.079 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.079 * [backup-simplify]: Simplify (* 1 1) into 1 4.080 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.080 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 4.080 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.080 * [taylor]: Taking taylor expansion of 1.0 in x 4.080 * [backup-simplify]: Simplify 1.0 into 1.0 4.080 * [taylor]: Taking taylor expansion of (cos x) in x 4.080 * [taylor]: Taking taylor expansion of x in x 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 1 into 1 4.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.080 * [taylor]: Taking taylor expansion of x in x 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 1 into 1 4.080 * [backup-simplify]: Simplify (- 1) into -1 4.081 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.081 * [backup-simplify]: Simplify (+ 0) into 0 4.082 * [backup-simplify]: Simplify (- 0) into 0 4.082 * [backup-simplify]: Simplify (+ 0 0) into 0 4.083 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.083 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.084 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.084 * [backup-simplify]: Simplify (* 1 1) into 1 4.085 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.085 * [backup-simplify]: Simplify 1/2 into 1/2 4.086 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.086 * [backup-simplify]: Simplify (- 0) into 0 4.087 * [backup-simplify]: Simplify (+ 0 0) into 0 4.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.091 * [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 4.092 * [backup-simplify]: Simplify (- 1/24) into -1/24 4.092 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 4.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.095 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 4.095 * [backup-simplify]: Simplify -1/24 into -1/24 4.097 * [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 4.098 * [backup-simplify]: Simplify (- 0) into 0 4.098 * [backup-simplify]: Simplify (+ 0 0) into 0 4.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 4.101 * [backup-simplify]: Simplify 0 into 0 4.107 * [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 4.108 * [backup-simplify]: Simplify (- -1/720) into 1/720 4.108 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 4.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.111 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 4.111 * [backup-simplify]: Simplify 1/720 into 1/720 4.112 * [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))) 4.112 * [backup-simplify]: Simplify (* (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 (/ 1 x))) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 4.112 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 4.112 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 4.112 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.112 * [taylor]: Taking taylor expansion of 1.0 in x 4.112 * [backup-simplify]: Simplify 1.0 into 1.0 4.112 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.113 * [taylor]: Taking taylor expansion of x in x 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [backup-simplify]: Simplify (/ 1 1) into 1 4.113 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.113 * [taylor]: Taking taylor expansion of x in x 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 4.113 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.113 * [taylor]: Taking taylor expansion of 1.0 in x 4.113 * [backup-simplify]: Simplify 1.0 into 1.0 4.113 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.113 * [taylor]: Taking taylor expansion of x in x 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 1 into 1 4.114 * [backup-simplify]: Simplify (/ 1 1) into 1 4.114 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.114 * [taylor]: Taking taylor expansion of x in x 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 1 into 1 4.114 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.114 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.115 * [backup-simplify]: Simplify (* 1 1) into 1 4.115 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 4.115 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 4.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.116 * [backup-simplify]: Simplify (- 0) into 0 4.117 * [backup-simplify]: Simplify (+ 0 0) into 0 4.117 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.118 * [backup-simplify]: Simplify (- 0) into 0 4.119 * [backup-simplify]: Simplify (+ 0 0) into 0 4.120 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.121 * [backup-simplify]: Simplify (- 0) into 0 4.122 * [backup-simplify]: Simplify (+ 0 0) into 0 4.122 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.123 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.124 * [backup-simplify]: Simplify (- 0) into 0 4.125 * [backup-simplify]: Simplify (+ 0 0) into 0 4.126 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.126 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.127 * [backup-simplify]: Simplify (- 0) into 0 4.128 * [backup-simplify]: Simplify (+ 0 0) into 0 4.128 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.128 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.129 * [backup-simplify]: Simplify (- 0) into 0 4.130 * [backup-simplify]: Simplify (+ 0 0) into 0 4.130 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.130 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 4.131 * [backup-simplify]: Simplify (* (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (/ 1 (- x)))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 4.131 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 4.131 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 4.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.131 * [taylor]: Taking taylor expansion of x in x 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 1 into 1 4.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.131 * [taylor]: Taking taylor expansion of 1.0 in x 4.131 * [backup-simplify]: Simplify 1.0 into 1.0 4.131 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.131 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.131 * [taylor]: Taking taylor expansion of -1 in x 4.131 * [backup-simplify]: Simplify -1 into -1 4.131 * [taylor]: Taking taylor expansion of x in x 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 1 into 1 4.131 * [backup-simplify]: Simplify (/ -1 1) into -1 4.131 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.131 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 4.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.131 * [taylor]: Taking taylor expansion of x in x 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 1 into 1 4.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.131 * [taylor]: Taking taylor expansion of 1.0 in x 4.131 * [backup-simplify]: Simplify 1.0 into 1.0 4.131 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.131 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.131 * [taylor]: Taking taylor expansion of -1 in x 4.132 * [backup-simplify]: Simplify -1 into -1 4.132 * [taylor]: Taking taylor expansion of x in x 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify (/ -1 1) into -1 4.132 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.132 * [backup-simplify]: Simplify (* 1 1) into 1 4.132 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.132 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.132 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.132 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 4.133 * [backup-simplify]: Simplify (- 0) into 0 4.133 * [backup-simplify]: Simplify (+ 0 0) into 0 4.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify (- 0) into 0 4.134 * [backup-simplify]: Simplify (+ 0 0) into 0 4.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 4.135 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify (- 0) into 0 4.136 * [backup-simplify]: Simplify (+ 0 0) into 0 4.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 4.137 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify (- 0) into 0 4.138 * [backup-simplify]: Simplify (+ 0 0) into 0 4.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 4.139 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify (- 0) into 0 4.140 * [backup-simplify]: Simplify (+ 0 0) into 0 4.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify (- 0) into 0 4.142 * [backup-simplify]: Simplify (+ 0 0) into 0 4.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 4.145 * * * [progress]: simplifying candidates 4.146 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (+ (- (log (- 1.0 (cos x))) (log x)) (- (log x))) (+ (- (log (- 1.0 (cos x))) (log x)) (- 0 (log x))) (+ (- (log (- 1.0 (cos x))) (log x)) (- (log 1) (log x))) (+ (- (log (- 1.0 (cos x))) (log x)) (log (/ 1 x))) (+ (log (/ (- 1.0 (cos x)) x)) (- (log x))) (+ (log (/ (- 1.0 (cos x)) x)) (- 0 (log x))) (+ (log (/ (- 1.0 (cos x)) x)) (- (log 1) (log x))) (+ (log (/ (- 1.0 (cos x)) x)) (log (/ 1 x))) (log (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (exp (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (* (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (/ (* (* 1 1) 1) (* (* x x) x))) (* (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (/ (* (* 1 1) 1) (* (* x x) x))) (* (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (cbrt (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (cbrt (* (/ (- 1.0 (cos x)) x) (/ 1 x)))) (cbrt (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (* (* (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (sqrt (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (sqrt (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (* (- 1.0 (cos x)) 1) (* x x) (* (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ (sqrt 1) (sqrt x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ (sqrt 1) (sqrt x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ 1 (sqrt x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ 1 (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (/ 1 x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (/ 1 x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 (sqrt x))) (* (/ (- 1.0 (cos x)) x) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (/ (- 1.0 (cos x)) x) (sqrt (/ 1 x))) (* (/ (- 1.0 (cos x)) x) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (* (/ (- 1.0 (cos x)) x) (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (* (/ (- 1.0 (cos x)) x) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (/ (- 1.0 (cos x)) x) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (/ (- 1.0 (cos x)) x) (/ (sqrt 1) (sqrt x))) (* (/ (- 1.0 (cos x)) x) (/ (sqrt 1) 1)) (* (/ (- 1.0 (cos x)) x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x))) (* (/ (- 1.0 (cos x)) x) (/ 1 1)) (* (/ (- 1.0 (cos x)) x) 1) (* (/ (- 1.0 (cos x)) x) 1) (* (cbrt (/ (- 1.0 (cos x)) x)) (/ 1 x)) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ 1 x)) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ 1 x)) (* (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ 1 x)) (* (/ (cbrt (- 1.0 (cos x))) x) (/ 1 x)) (* (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 x)) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x)) (* (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 x)) (* (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (* (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ 1 x)) (* (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ 1 x)) (* (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x)) (* (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 x)) (* (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (* (/ 1 x) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) 1) (* (- 1.0 (cos x)) (/ 1 x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 4.148 * * [simplify]: iteration 0: 189 enodes 4.201 * * [simplify]: iteration 1: 551 enodes 4.599 * * [simplify]: iteration 2: 2726 enodes 5.539 * * [simplify]: iteration complete: 5000 enodes 5.539 * * [simplify]: Extracting #0: cost 87 inf + 0 5.548 * * [simplify]: Extracting #1: cost 1313 inf + 1 5.557 * * [simplify]: Extracting #2: cost 1931 inf + 39143 5.593 * * [simplify]: Extracting #3: cost 649 inf + 270462 5.664 * * [simplify]: Extracting #4: cost 113 inf + 390398 5.749 * * [simplify]: Extracting #5: cost 10 inf + 427665 5.871 * * [simplify]: Extracting #6: cost 0 inf + 432029 5.969 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (- 1.0 (cos x)) (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x))) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (* (/ (- 1.0 (cos x)) x) (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x))) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (/ (- 1.0 (cos x)) x) (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x))) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (* (/ 1 (cbrt x)) (/ 1 (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (+ (sqrt (cos x)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (* (/ 1 (cbrt x)) (/ 1 (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) x) (* x (+ (cos x) 1.0)) (/ (- 1.0 (cos x)) (* x x)) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (* (/ (- 1.0 (cos x)) (* x x)) (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)))) (* (/ (- 1.0 (cos x)) (* x x)) (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)))) (* (/ (- 1.0 (cos x)) (* x x)) (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)))) (* (/ (- 1.0 (cos x)) (* x x)) (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (/ (- 1.0 (cos x)) (* x x)) (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- 1.0 (cos x)) (* x x) (* (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (/ (sqrt x) (sqrt (/ 1 x)))) (/ (sqrt (- 1.0 (cos x))) (/ (sqrt x) (sqrt (/ 1 x)))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (* (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (- 1.0 (cos x))) x) (/ (- 1.0 (cos x)) (/ x (sqrt (/ 1 x)))) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (cbrt (- 1.0 (cos x))) x) x) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (- 1.0 (cos x)) (* x x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (* (/ 1 x) (/ 1 x)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (+ (+ (* (* 1/720 (* (* x x) x)) (* (* x x) x)) (* (* x x) 1/2)) (* -1/24 (* (* x x) (* x x)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* (pow x 5) 1/720) (- (* x 1/2) (* (* (* x x) x) 1/24))) (/ (- 1.0 (cos x)) x) (- (/ (- (cos x) 1.0) x)) (+ (* (* x x) -1/24) (+ 1/2 (* (* x x) (* (* x x) 1/720)))) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) 5.975 * * * [progress]: adding candidates to table 6.381 * * [progress]: iteration 4 / 4 6.381 * * * [progress]: picking best candidate 6.425 * * * * [pick]: Picked # 6.425 * * * [progress]: localizing error 6.467 * * * [progress]: generating rewritten candidates 6.467 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 6.474 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 6.479 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 6.484 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2) 6.499 * * * [progress]: generating series expansions 6.499 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 6.500 * [backup-simplify]: Simplify (- (* 1.0 1.0) (* (cos x) (cos x))) into (- 1.0 (pow (cos x) 2)) 6.500 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in (x) around 0 6.500 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in x 6.500 * [taylor]: Taking taylor expansion of 1.0 in x 6.500 * [backup-simplify]: Simplify 1.0 into 1.0 6.500 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 6.500 * [taylor]: Taking taylor expansion of (cos x) in x 6.500 * [taylor]: Taking taylor expansion of x in x 6.500 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify 1 into 1 6.500 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in x 6.500 * [taylor]: Taking taylor expansion of 1.0 in x 6.500 * [backup-simplify]: Simplify 1.0 into 1.0 6.500 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 6.500 * [taylor]: Taking taylor expansion of (cos x) in x 6.500 * [taylor]: Taking taylor expansion of x in x 6.500 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify 1 into 1 6.500 * [backup-simplify]: Simplify (* 1 1) into 1 6.501 * [backup-simplify]: Simplify (- 1) into -1 6.501 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.501 * [backup-simplify]: Simplify 0 into 0 6.501 * [backup-simplify]: Simplify (+ 0) into 0 6.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.502 * [backup-simplify]: Simplify (- 0) into 0 6.502 * [backup-simplify]: Simplify (+ 0 0) into 0 6.502 * [backup-simplify]: Simplify 0 into 0 6.503 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.503 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 6.504 * [backup-simplify]: Simplify (- -1) into 1 6.504 * [backup-simplify]: Simplify (+ 0 1) into 1 6.504 * [backup-simplify]: Simplify 1 into 1 6.505 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 6.506 * [backup-simplify]: Simplify (- 0) into 0 6.506 * [backup-simplify]: Simplify (+ 0 0) into 0 6.506 * [backup-simplify]: Simplify 0 into 0 6.508 * [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 6.508 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 6.509 * [backup-simplify]: Simplify (- 1/3) into -1/3 6.509 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 6.509 * [backup-simplify]: Simplify -1/3 into -1/3 6.510 * [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 6.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/2 0) (+ (* 0 -1/2) (+ (* 1/24 0) (* 0 1)))))) into 0 6.512 * [backup-simplify]: Simplify (- 0) into 0 6.512 * [backup-simplify]: Simplify (+ 0 0) into 0 6.512 * [backup-simplify]: Simplify 0 into 0 6.523 * [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 6.526 * [backup-simplify]: Simplify (+ (* 1 -1/720) (+ (* 0 0) (+ (* -1/2 1/24) (+ (* 0 0) (+ (* 1/24 -1/2) (+ (* 0 0) (* -1/720 1))))))) into -2/45 6.526 * [backup-simplify]: Simplify (- -2/45) into 2/45 6.526 * [backup-simplify]: Simplify (+ 0 2/45) into 2/45 6.526 * [backup-simplify]: Simplify 2/45 into 2/45 6.527 * [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))) 6.528 * [backup-simplify]: Simplify (- (* 1.0 1.0) (* (cos (/ 1 x)) (cos (/ 1 x)))) into (- 1.0 (pow (cos (/ 1 x)) 2)) 6.528 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in (x) around 0 6.528 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in x 6.528 * [taylor]: Taking taylor expansion of 1.0 in x 6.528 * [backup-simplify]: Simplify 1.0 into 1.0 6.528 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 6.528 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.528 * [taylor]: Taking taylor expansion of x in x 6.528 * [backup-simplify]: Simplify 0 into 0 6.528 * [backup-simplify]: Simplify 1 into 1 6.528 * [backup-simplify]: Simplify (/ 1 1) into 1 6.528 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.528 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in x 6.529 * [taylor]: Taking taylor expansion of 1.0 in x 6.529 * [backup-simplify]: Simplify 1.0 into 1.0 6.529 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 6.529 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.529 * [taylor]: Taking taylor expansion of x in x 6.529 * [backup-simplify]: Simplify 0 into 0 6.529 * [backup-simplify]: Simplify 1 into 1 6.529 * [backup-simplify]: Simplify (/ 1 1) into 1 6.529 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.529 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 6.530 * [backup-simplify]: Simplify (- (pow (cos (/ 1 x)) 2)) into (- (pow (cos (/ 1 x)) 2)) 6.530 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ 1 x)) 2))) into (- 1.0 (pow (cos (/ 1 x)) 2)) 6.530 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 x)) 2)) into (- 1.0 (pow (cos (/ 1 x)) 2)) 6.530 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 6.531 * [backup-simplify]: Simplify (- 0) into 0 6.531 * [backup-simplify]: Simplify (+ 0 0) into 0 6.531 * [backup-simplify]: Simplify 0 into 0 6.532 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 6.532 * [backup-simplify]: Simplify (- 0) into 0 6.532 * [backup-simplify]: Simplify (+ 0 0) into 0 6.532 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 6.534 * [backup-simplify]: Simplify (- 0) into 0 6.534 * [backup-simplify]: Simplify (+ 0 0) into 0 6.534 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 6.535 * [backup-simplify]: Simplify (- 0) into 0 6.536 * [backup-simplify]: Simplify (+ 0 0) into 0 6.536 * [backup-simplify]: Simplify 0 into 0 6.537 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 6.538 * [backup-simplify]: Simplify (- 0) into 0 6.538 * [backup-simplify]: Simplify (+ 0 0) into 0 6.538 * [backup-simplify]: Simplify 0 into 0 6.540 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 6.540 * [backup-simplify]: Simplify (- 0) into 0 6.541 * [backup-simplify]: Simplify (+ 0 0) into 0 6.541 * [backup-simplify]: Simplify 0 into 0 6.541 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 (/ 1 x))) 2)) into (- 1.0 (pow (cos x) 2)) 6.542 * [backup-simplify]: Simplify (- (* 1.0 1.0) (* (cos (/ 1 (- x))) (cos (/ 1 (- x))))) into (- 1.0 (pow (cos (/ -1 x)) 2)) 6.542 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in (x) around 0 6.542 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in x 6.542 * [taylor]: Taking taylor expansion of 1.0 in x 6.542 * [backup-simplify]: Simplify 1.0 into 1.0 6.542 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 6.542 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.542 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.542 * [taylor]: Taking taylor expansion of -1 in x 6.542 * [backup-simplify]: Simplify -1 into -1 6.542 * [taylor]: Taking taylor expansion of x in x 6.542 * [backup-simplify]: Simplify 0 into 0 6.542 * [backup-simplify]: Simplify 1 into 1 6.542 * [backup-simplify]: Simplify (/ -1 1) into -1 6.543 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.543 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in x 6.543 * [taylor]: Taking taylor expansion of 1.0 in x 6.543 * [backup-simplify]: Simplify 1.0 into 1.0 6.543 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 6.543 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.543 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.543 * [taylor]: Taking taylor expansion of -1 in x 6.543 * [backup-simplify]: Simplify -1 into -1 6.543 * [taylor]: Taking taylor expansion of x in x 6.543 * [backup-simplify]: Simplify 0 into 0 6.543 * [backup-simplify]: Simplify 1 into 1 6.544 * [backup-simplify]: Simplify (/ -1 1) into -1 6.544 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.544 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 6.544 * [backup-simplify]: Simplify (- (pow (cos (/ -1 x)) 2)) into (- (pow (cos (/ -1 x)) 2)) 6.544 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ -1 x)) 2))) into (- 1.0 (pow (cos (/ -1 x)) 2)) 6.544 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 x)) 2)) into (- 1.0 (pow (cos (/ -1 x)) 2)) 6.545 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 6.545 * [backup-simplify]: Simplify (- 0) into 0 6.545 * [backup-simplify]: Simplify (+ 0 0) into 0 6.545 * [backup-simplify]: Simplify 0 into 0 6.546 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 6.546 * [backup-simplify]: Simplify (- 0) into 0 6.547 * [backup-simplify]: Simplify (+ 0 0) into 0 6.547 * [backup-simplify]: Simplify 0 into 0 6.548 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 6.548 * [backup-simplify]: Simplify (- 0) into 0 6.548 * [backup-simplify]: Simplify (+ 0 0) into 0 6.548 * [backup-simplify]: Simplify 0 into 0 6.550 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 6.550 * [backup-simplify]: Simplify (- 0) into 0 6.550 * [backup-simplify]: Simplify (+ 0 0) into 0 6.550 * [backup-simplify]: Simplify 0 into 0 6.551 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 6.552 * [backup-simplify]: Simplify (- 0) into 0 6.552 * [backup-simplify]: Simplify (+ 0 0) into 0 6.552 * [backup-simplify]: Simplify 0 into 0 6.553 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 6.553 * [backup-simplify]: Simplify (- 0) into 0 6.554 * [backup-simplify]: Simplify (+ 0 0) into 0 6.554 * [backup-simplify]: Simplify 0 into 0 6.554 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (- 1.0 (pow (cos x) 2)) 6.554 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 6.554 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 6.554 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.554 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.554 * [taylor]: Taking taylor expansion of 1.0 in x 6.554 * [backup-simplify]: Simplify 1.0 into 1.0 6.554 * [taylor]: Taking taylor expansion of (cos x) in x 6.554 * [taylor]: Taking taylor expansion of x in x 6.554 * [backup-simplify]: Simplify 0 into 0 6.554 * [backup-simplify]: Simplify 1 into 1 6.554 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.554 * [taylor]: Taking taylor expansion of 1.0 in x 6.554 * [backup-simplify]: Simplify 1.0 into 1.0 6.554 * [taylor]: Taking taylor expansion of (cos x) in x 6.554 * [taylor]: Taking taylor expansion of x in x 6.554 * [backup-simplify]: Simplify 0 into 0 6.554 * [backup-simplify]: Simplify 1 into 1 6.555 * [backup-simplify]: Simplify (- 1) into -1 6.555 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.555 * [backup-simplify]: Simplify 0 into 0 6.555 * [backup-simplify]: Simplify (+ 0) into 0 6.555 * [backup-simplify]: Simplify (- 0) into 0 6.556 * [backup-simplify]: Simplify (+ 0 0) into 0 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.556 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.557 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.557 * [backup-simplify]: Simplify 1/2 into 1/2 6.557 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.558 * [backup-simplify]: Simplify (- 0) into 0 6.558 * [backup-simplify]: Simplify (+ 0 0) into 0 6.558 * [backup-simplify]: Simplify 0 into 0 6.560 * [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 6.560 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.560 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.560 * [backup-simplify]: Simplify -1/24 into -1/24 6.561 * [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 6.562 * [backup-simplify]: Simplify (- 0) into 0 6.562 * [backup-simplify]: Simplify (+ 0 0) into 0 6.562 * [backup-simplify]: Simplify 0 into 0 6.565 * [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 6.565 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.565 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.565 * [backup-simplify]: Simplify 1/720 into 1/720 6.566 * [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))) 6.566 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.566 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.566 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.566 * [taylor]: Taking taylor expansion of 1.0 in x 6.566 * [backup-simplify]: Simplify 1.0 into 1.0 6.566 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.566 * [taylor]: Taking taylor expansion of x in x 6.566 * [backup-simplify]: Simplify 0 into 0 6.566 * [backup-simplify]: Simplify 1 into 1 6.566 * [backup-simplify]: Simplify (/ 1 1) into 1 6.566 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.566 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.566 * [taylor]: Taking taylor expansion of 1.0 in x 6.566 * [backup-simplify]: Simplify 1.0 into 1.0 6.566 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.566 * [taylor]: Taking taylor expansion of x in x 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify 1 into 1 6.567 * [backup-simplify]: Simplify (/ 1 1) into 1 6.567 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.567 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.567 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.567 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.567 * [backup-simplify]: Simplify (- 0) into 0 6.568 * [backup-simplify]: Simplify (+ 0 0) into 0 6.568 * [backup-simplify]: Simplify 0 into 0 6.568 * [backup-simplify]: Simplify (- 0) into 0 6.568 * [backup-simplify]: Simplify (+ 0 0) into 0 6.568 * [backup-simplify]: Simplify 0 into 0 6.568 * [backup-simplify]: Simplify (- 0) into 0 6.568 * [backup-simplify]: Simplify (+ 0 0) into 0 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify (- 0) into 0 6.569 * [backup-simplify]: Simplify (+ 0 0) into 0 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify (- 0) into 0 6.569 * [backup-simplify]: Simplify (+ 0 0) into 0 6.570 * [backup-simplify]: Simplify 0 into 0 6.570 * [backup-simplify]: Simplify (- 0) into 0 6.570 * [backup-simplify]: Simplify (+ 0 0) into 0 6.570 * [backup-simplify]: Simplify 0 into 0 6.570 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 6.570 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 6.570 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.570 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.570 * [taylor]: Taking taylor expansion of 1.0 in x 6.570 * [backup-simplify]: Simplify 1.0 into 1.0 6.570 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.570 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.570 * [taylor]: Taking taylor expansion of -1 in x 6.570 * [backup-simplify]: Simplify -1 into -1 6.570 * [taylor]: Taking taylor expansion of x in x 6.570 * [backup-simplify]: Simplify 0 into 0 6.570 * [backup-simplify]: Simplify 1 into 1 6.571 * [backup-simplify]: Simplify (/ -1 1) into -1 6.571 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.571 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.571 * [taylor]: Taking taylor expansion of 1.0 in x 6.571 * [backup-simplify]: Simplify 1.0 into 1.0 6.571 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.571 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.571 * [taylor]: Taking taylor expansion of -1 in x 6.571 * [backup-simplify]: Simplify -1 into -1 6.571 * [taylor]: Taking taylor expansion of x in x 6.571 * [backup-simplify]: Simplify 0 into 0 6.571 * [backup-simplify]: Simplify 1 into 1 6.571 * [backup-simplify]: Simplify (/ -1 1) into -1 6.571 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.571 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.571 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.571 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 6.572 * [backup-simplify]: Simplify (- 0) into 0 6.572 * [backup-simplify]: Simplify (+ 0 0) into 0 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify (- 0) into 0 6.572 * [backup-simplify]: Simplify (+ 0 0) into 0 6.572 * [backup-simplify]: Simplify 0 into 0 6.573 * [backup-simplify]: Simplify (- 0) into 0 6.573 * [backup-simplify]: Simplify (+ 0 0) into 0 6.573 * [backup-simplify]: Simplify 0 into 0 6.573 * [backup-simplify]: Simplify (- 0) into 0 6.573 * [backup-simplify]: Simplify (+ 0 0) into 0 6.573 * [backup-simplify]: Simplify 0 into 0 6.574 * [backup-simplify]: Simplify (- 0) into 0 6.574 * [backup-simplify]: Simplify (+ 0 0) into 0 6.574 * [backup-simplify]: Simplify 0 into 0 6.574 * [backup-simplify]: Simplify (- 0) into 0 6.574 * [backup-simplify]: Simplify (+ 0 0) into 0 6.574 * [backup-simplify]: Simplify 0 into 0 6.574 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 6.574 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 6.575 * [backup-simplify]: Simplify (+ 1.0 (cos x)) into (+ (cos x) 1.0) 6.575 * [approximate]: Taking taylor expansion of (+ (cos x) 1.0) in (x) around 0 6.575 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 6.575 * [taylor]: Taking taylor expansion of (cos x) in x 6.575 * [taylor]: Taking taylor expansion of x in x 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify 1 into 1 6.575 * [taylor]: Taking taylor expansion of 1.0 in x 6.575 * [backup-simplify]: Simplify 1.0 into 1.0 6.575 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 6.575 * [taylor]: Taking taylor expansion of (cos x) in x 6.575 * [taylor]: Taking taylor expansion of x in x 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify 1 into 1 6.575 * [taylor]: Taking taylor expansion of 1.0 in x 6.575 * [backup-simplify]: Simplify 1.0 into 1.0 6.575 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 6.575 * [backup-simplify]: Simplify 2.0 into 2.0 6.575 * [backup-simplify]: Simplify (+ 0) into 0 6.576 * [backup-simplify]: Simplify (+ 0 0) into 0 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.577 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 6.577 * [backup-simplify]: Simplify -1/2 into -1/2 6.577 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.577 * [backup-simplify]: Simplify (+ 0 0) into 0 6.577 * [backup-simplify]: Simplify 0 into 0 6.579 * [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 6.579 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 6.579 * [backup-simplify]: Simplify 1/24 into 1/24 6.580 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2.0)) into (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) 6.580 * [backup-simplify]: Simplify (+ 1.0 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1.0) 6.580 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 6.580 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 6.580 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.580 * [taylor]: Taking taylor expansion of x in x 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify 1 into 1 6.580 * [backup-simplify]: Simplify (/ 1 1) into 1 6.580 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.580 * [taylor]: Taking taylor expansion of 1.0 in x 6.580 * [backup-simplify]: Simplify 1.0 into 1.0 6.580 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 6.580 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.580 * [taylor]: Taking taylor expansion of x in x 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify 1 into 1 6.580 * [backup-simplify]: Simplify (/ 1 1) into 1 6.581 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.581 * [taylor]: Taking taylor expansion of 1.0 in x 6.581 * [backup-simplify]: Simplify 1.0 into 1.0 6.581 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 6.581 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 6.581 * [backup-simplify]: Simplify (+ 0 0) into 0 6.581 * [backup-simplify]: Simplify 0 into 0 6.581 * [backup-simplify]: Simplify (+ 0 0) into 0 6.581 * [backup-simplify]: Simplify 0 into 0 6.582 * [backup-simplify]: Simplify (+ 0 0) into 0 6.582 * [backup-simplify]: Simplify 0 into 0 6.582 * [backup-simplify]: Simplify (+ 0 0) into 0 6.582 * [backup-simplify]: Simplify 0 into 0 6.582 * [backup-simplify]: Simplify (+ 0 0) into 0 6.582 * [backup-simplify]: Simplify 0 into 0 6.582 * [backup-simplify]: Simplify (+ 0 0) into 0 6.582 * [backup-simplify]: Simplify 0 into 0 6.582 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1.0) into (+ (cos x) 1.0) 6.583 * [backup-simplify]: Simplify (+ 1.0 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1.0) 6.583 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 6.583 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 6.583 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.583 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.583 * [taylor]: Taking taylor expansion of -1 in x 6.583 * [backup-simplify]: Simplify -1 into -1 6.583 * [taylor]: Taking taylor expansion of x in x 6.583 * [backup-simplify]: Simplify 0 into 0 6.583 * [backup-simplify]: Simplify 1 into 1 6.583 * [backup-simplify]: Simplify (/ -1 1) into -1 6.583 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.583 * [taylor]: Taking taylor expansion of 1.0 in x 6.583 * [backup-simplify]: Simplify 1.0 into 1.0 6.583 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 6.583 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.583 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.583 * [taylor]: Taking taylor expansion of -1 in x 6.583 * [backup-simplify]: Simplify -1 into -1 6.583 * [taylor]: Taking taylor expansion of x in x 6.583 * [backup-simplify]: Simplify 0 into 0 6.583 * [backup-simplify]: Simplify 1 into 1 6.583 * [backup-simplify]: Simplify (/ -1 1) into -1 6.583 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.583 * [taylor]: Taking taylor expansion of 1.0 in x 6.584 * [backup-simplify]: Simplify 1.0 into 1.0 6.584 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 6.584 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 6.584 * [backup-simplify]: Simplify (+ 0 0) into 0 6.584 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify (+ 0 0) into 0 6.584 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify (+ 0 0) into 0 6.584 * [backup-simplify]: Simplify 0 into 0 6.585 * [backup-simplify]: Simplify (+ 0 0) into 0 6.585 * [backup-simplify]: Simplify 0 into 0 6.585 * [backup-simplify]: Simplify (+ 0 0) into 0 6.585 * [backup-simplify]: Simplify 0 into 0 6.585 * [backup-simplify]: Simplify (+ 0 0) into 0 6.585 * [backup-simplify]: Simplify 0 into 0 6.585 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1.0) into (+ (cos x) 1.0) 6.585 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2) 6.585 * [backup-simplify]: Simplify (* (cos x) (cos x)) into (pow (cos x) 2) 6.585 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 6.586 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 6.586 * [taylor]: Taking taylor expansion of (cos x) in x 6.586 * [taylor]: Taking taylor expansion of x in x 6.586 * [backup-simplify]: Simplify 0 into 0 6.586 * [backup-simplify]: Simplify 1 into 1 6.586 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 6.586 * [taylor]: Taking taylor expansion of (cos x) in x 6.586 * [taylor]: Taking taylor expansion of x in x 6.586 * [backup-simplify]: Simplify 0 into 0 6.586 * [backup-simplify]: Simplify 1 into 1 6.586 * [backup-simplify]: Simplify (* 1 1) into 1 6.586 * [backup-simplify]: Simplify 1 into 1 6.586 * [backup-simplify]: Simplify (+ 0) into 0 6.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.587 * [backup-simplify]: Simplify 0 into 0 6.587 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.588 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 6.588 * [backup-simplify]: Simplify -1 into -1 6.588 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 6.589 * [backup-simplify]: Simplify 0 into 0 6.591 * [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 6.592 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 6.592 * [backup-simplify]: Simplify 1/3 into 1/3 6.592 * [backup-simplify]: Simplify (+ (* 1/3 (pow x 4)) (+ (* -1 (pow x 2)) 1)) into (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) 6.592 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 6.592 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 6.592 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 6.592 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.592 * [taylor]: Taking taylor expansion of x in x 6.592 * [backup-simplify]: Simplify 0 into 0 6.592 * [backup-simplify]: Simplify 1 into 1 6.592 * [backup-simplify]: Simplify (/ 1 1) into 1 6.592 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.593 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 6.593 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.593 * [taylor]: Taking taylor expansion of x in x 6.593 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify 1 into 1 6.593 * [backup-simplify]: Simplify (/ 1 1) into 1 6.593 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.593 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 6.593 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 2) into (pow (cos (/ 1 x)) 2) 6.594 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 6.594 * [backup-simplify]: Simplify 0 into 0 6.594 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 6.594 * [backup-simplify]: Simplify 0 into 0 6.595 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 6.595 * [backup-simplify]: Simplify 0 into 0 6.595 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 6.595 * [backup-simplify]: Simplify 0 into 0 6.596 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 6.596 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 6.598 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify (pow (cos (/ 1 (/ 1 x))) 2) into (pow (cos x) 2) 6.598 * [backup-simplify]: Simplify (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) into (pow (cos (/ -1 x)) 2) 6.598 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 6.598 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 6.598 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.598 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.598 * [taylor]: Taking taylor expansion of -1 in x 6.598 * [backup-simplify]: Simplify -1 into -1 6.598 * [taylor]: Taking taylor expansion of x in x 6.598 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify 1 into 1 6.599 * [backup-simplify]: Simplify (/ -1 1) into -1 6.599 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.599 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 6.599 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.599 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.599 * [taylor]: Taking taylor expansion of -1 in x 6.599 * [backup-simplify]: Simplify -1 into -1 6.599 * [taylor]: Taking taylor expansion of x in x 6.599 * [backup-simplify]: Simplify 0 into 0 6.599 * [backup-simplify]: Simplify 1 into 1 6.599 * [backup-simplify]: Simplify (/ -1 1) into -1 6.599 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.599 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 6.599 * [backup-simplify]: Simplify (pow (cos (/ -1 x)) 2) into (pow (cos (/ -1 x)) 2) 6.599 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 6.600 * [backup-simplify]: Simplify 0 into 0 6.600 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 6.600 * [backup-simplify]: Simplify 0 into 0 6.600 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 6.600 * [backup-simplify]: Simplify 0 into 0 6.601 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 6.601 * [backup-simplify]: Simplify 0 into 0 6.602 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 6.602 * [backup-simplify]: Simplify 0 into 0 6.604 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 6.604 * [backup-simplify]: Simplify 0 into 0 6.604 * [backup-simplify]: Simplify (pow (cos (/ -1 (/ 1 (- x)))) 2) into (pow (cos x) 2) 6.604 * * * [progress]: simplifying candidates 6.605 * [simplify]: Simplifying: (/ (exp (* 1.0 1.0)) (exp (* (cos x) (cos x)))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (exp (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (* (- (* 1.0 1.0) (* (cos x) (cos x))) (- (* 1.0 1.0) (* (cos x) (cos x)))) (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (- (pow (* 1.0 1.0) 3) (pow (* (cos x) (cos x)) 3)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (* 1.0 1.0) (* (cos x) (cos x))))) (- (* (cos x) (cos x))) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (cos x) (cos x)) (* (cos x) (cos x)))) (+ (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- 1.0 (cos x)) (- (* 1.0 1.0) 1/2) (- (* (cos x) (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* (exp 1.0) (exp (cos x))) (log (+ 1.0 (cos x))) (exp (+ 1.0 (cos x))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x)))) (cbrt (+ 1.0 (cos x))) (* (* (+ 1.0 (cos x)) (+ 1.0 (cos x))) (+ 1.0 (cos x))) (sqrt (+ 1.0 (cos x))) (sqrt (+ 1.0 (cos x))) (+ (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (- (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (* 1.0 1.0) (* (cos x) (cos x))) (- 1.0 (cos x)) (+ 1.0 (cos x)) (* 1/2 (cos (* 2 x))) (+ (cos (+ x x)) (cos (- x x))) (+ 1 1) (* (cos x) (cos x)) (+ 1 1) (+ (log (cos x)) (log (cos x))) (log (* (cos x) (cos x))) (exp (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (cos x)) (* (* (cos x) (cos x)) (cos x))) (* (cbrt (* (cos x) (cos x))) (cbrt (* (cos x) (cos x)))) (cbrt (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (cos x) (cos x))) (sqrt (* (cos x) (cos x))) (sqrt (* (cos x) (cos x))) (* (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x)))) (* (cbrt (cos x)) (cbrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* 1 1) (* (cos x) (cos x)) (* (sqrt (cos x)) (sqrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* 2 1) (* (cos x) (* (cbrt (cos x)) (cbrt (cos x)))) (* (cos x) (sqrt (cos x))) (* (cos x) 1) (* (cbrt (cos x)) (cos x)) (* (sqrt (cos x)) (cos x)) (* (cos x) (cos x)) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (- 1.0 (pow (cos x) 2)) (- 1.0 (pow (cos x) 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ (cos x) 1.0) (+ (cos x) 1.0) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) 6.606 * * [simplify]: iteration 0: 121 enodes 6.634 * * [simplify]: iteration 1: 320 enodes 6.774 * * [simplify]: iteration 2: 2011 enodes 7.690 * * [simplify]: iteration complete: 5001 enodes 7.690 * * [simplify]: Extracting #0: cost 56 inf + 0 7.691 * * [simplify]: Extracting #1: cost 567 inf + 2 7.695 * * [simplify]: Extracting #2: cost 1191 inf + 8209 7.711 * * [simplify]: Extracting #3: cost 1110 inf + 116210 7.746 * * [simplify]: Extracting #4: cost 44 inf + 261970 7.802 * * [simplify]: Extracting #5: cost 5 inf + 269675 7.870 * * [simplify]: Extracting #6: cost 0 inf + 271235 7.921 * [simplify]: Simplified to: (exp (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (exp (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (cbrt (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (* (+ 1.0 (cos x)) (- 1.0 (cos x))))) (cbrt (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (* (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (* (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (* (+ 1.0 (cos x)) (- 1.0 (cos x))))) (sqrt (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (sqrt (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (* (+ (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x)))) (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x))))) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (cos x) (cos x)) (+ (* (cos x) (cos x)) (* 1.0 1.0)))) (* (- (cos x)) (cos x)) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (cos x) (cos x)) (* (cos x) (cos x)))) (+ (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- 1.0 (cos x)) (- (* 1.0 1.0) 1/2) (* (- (cos x)) (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (- 1.0 (cos x)) (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x)))) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (+ 1.0 (cos x))) (log (+ 1.0 (cos x))) (exp (+ 1.0 (cos x))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x)))) (cbrt (+ 1.0 (cos x))) (* (* (+ 1.0 (cos x)) (+ 1.0 (cos x))) (+ 1.0 (cos x))) (sqrt (+ 1.0 (cos x))) (sqrt (+ 1.0 (cos x))) (+ (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x)))) (+ (* 1.0 1.0) (* (cos x) (- (cos x) 1.0))) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)) (+ 1.0 (cos x)) (* 1/2 (cos (+ x x))) (+ (cos (+ x x)) 1) 2 (* (cos x) (cos x)) 2 (+ (log (cos x)) (log (cos x))) (+ (log (cos x)) (log (cos x))) (exp (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (cos x)) (* (* (cos x) (cos x)) (cos x))) (* (cbrt (* (cos x) (cos x))) (cbrt (* (cos x) (cos x)))) (cbrt (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (cos x)) (* (* (cos x) (cos x)) (cos x))) (fabs (cos x)) (fabs (cos x)) (* (cbrt (cos x)) (cos x)) (* (cbrt (cos x)) (cbrt (cos x))) (cos x) (cos x) 1 (* (cos x) (cos x)) (cos x) (cos x) 2 (* (* (cos x) (cbrt (cos x))) (cbrt (cos x))) (* (cos x) (sqrt (cos x))) (cos x) (* (cbrt (cos x)) (cos x)) (* (cos x) (sqrt (cos x))) (* (cos x) (cos x)) (+ (* (* (* (* x x) x) (* (* x x) x)) 2/45) (- (* x x) (* 1/3 (* (* x x) (* x x))))) (- 1.0 (* (cos x) (cos x))) (- 1.0 (* (cos x) (cos x))) (+ (- (* (* (* (* x x) x) (* (* x x) x)) 1/720) (* 1/24 (* (* x x) (* x x)))) (* (* x x) 1/2)) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* -1/2 (* x x)) (+ (* 1/24 (* (* x x) (* x x))) 2.0)) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (+ (* 1/3 (* (* x x) (* x x))) (- 1 (* x x))) (* (cos x) (cos x)) (* (cos x) (cos x)) 7.928 * * * [progress]: adding candidates to table 8.406 * [progress]: [Phase 3 of 3] Extracting. 8.406 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 8.410 * * * [regime-changes]: Trying 1 branch expressions: (x) 8.411 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 8.509 * * * [regime]: Found split indices: #