18.367 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.123 * * * [progress]: [2/2] Setting up program. 0.129 * [progress]: [Phase 2 of 3] Improving. 0.130 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.130 * * [simplify]: iteration 0: 6 enodes 0.133 * * [simplify]: iteration 1: 13 enodes 0.137 * * [simplify]: iteration 2: 21 enodes 0.143 * * [simplify]: iteration 3: 26 enodes 0.150 * * [simplify]: iteration 4: 28 enodes 0.157 * * [simplify]: iteration complete: 28 enodes 0.157 * * [simplify]: Extracting #0: cost 1 inf + 0 0.157 * * [simplify]: Extracting #1: cost 8 inf + 0 0.157 * * [simplify]: Extracting #2: cost 12 inf + 42 0.157 * * [simplify]: Extracting #3: cost 6 inf + 588 0.158 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.158 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.159 * * [progress]: iteration 1 / 4 0.159 * * * [progress]: picking best candidate 0.165 * * * * [pick]: Picked # 0.165 * * * [progress]: localizing error 0.186 * * * [progress]: generating rewritten candidates 0.186 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.218 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.231 * * * [progress]: generating series expansions 0.231 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.238 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.238 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.239 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.239 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [backup-simplify]: Simplify 1.0 into 1.0 0.240 * [taylor]: Taking taylor expansion of (cos x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (- 1) into -1 0.242 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.243 * [backup-simplify]: Simplify (+ 0) into 0 0.243 * [backup-simplify]: Simplify (- 0) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.245 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.245 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.246 * [backup-simplify]: Simplify (* 1 1) into 1 0.246 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.247 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (- 1.0 (cos 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 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 0.247 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.247 * [backup-simplify]: Simplify (- 1) into -1 0.248 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.248 * [backup-simplify]: Simplify (+ 0) into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.250 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.251 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.251 * [backup-simplify]: Simplify (* 1 1) into 1 0.251 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.252 * [backup-simplify]: Simplify 1/2 into 1/2 0.253 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.271 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.271 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.272 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.272 * [backup-simplify]: Simplify -1/24 into -1/24 0.273 * [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 0.274 * [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 1)))) into 0 0.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.278 * [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 0.278 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.278 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.280 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.280 * [backup-simplify]: Simplify 1/720 into 1/720 0.282 * [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))) 0.282 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 0.282 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 0.282 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 0.282 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 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 (/ 1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 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 1) into 1 0.283 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 0.283 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.283 * [taylor]: Taking taylor expansion of 1.0 in x 0.283 * [backup-simplify]: Simplify 1.0 into 1.0 0.283 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.283 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.284 * [backup-simplify]: Simplify (* 1 1) into 1 0.284 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 0.284 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.294 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 0.294 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.294 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.294 * [taylor]: Taking taylor expansion of 1.0 in x 0.294 * [backup-simplify]: Simplify 1.0 into 1.0 0.294 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.294 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.294 * [taylor]: Taking taylor expansion of -1 in x 0.294 * [backup-simplify]: Simplify -1 into -1 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ -1 1) into -1 0.295 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.295 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [backup-simplify]: Simplify 1.0 into 1.0 0.295 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.295 * [taylor]: Taking taylor expansion of -1 in x 0.295 * [backup-simplify]: Simplify -1 into -1 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ -1 1) into -1 0.295 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.295 * [backup-simplify]: Simplify (* 1 1) into 1 0.295 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.296 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.296 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.296 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.309 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.309 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.309 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.309 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [backup-simplify]: Simplify 1.0 into 1.0 0.309 * [taylor]: Taking taylor expansion of (cos x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [backup-simplify]: Simplify 1.0 into 1.0 0.310 * [taylor]: Taking taylor expansion of (cos x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (- 1) into -1 0.311 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ 0) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.313 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.313 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.313 * [backup-simplify]: Simplify 1/2 into 1/2 0.315 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.318 * [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 0.319 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.319 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.319 * [backup-simplify]: Simplify -1/24 into -1/24 0.322 * [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 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.327 * [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 0.327 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.327 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.327 * [backup-simplify]: Simplify 1/720 into 1/720 0.328 * [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))) 0.328 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.328 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [backup-simplify]: Simplify 1.0 into 1.0 0.328 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.328 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [backup-simplify]: Simplify 1.0 into 1.0 0.328 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.329 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.329 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.329 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.332 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.332 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [backup-simplify]: Simplify 1.0 into 1.0 0.332 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.332 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.332 * [taylor]: Taking taylor expansion of -1 in x 0.332 * [backup-simplify]: Simplify -1 into -1 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ -1 1) into -1 0.333 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.333 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [backup-simplify]: Simplify 1.0 into 1.0 0.333 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.333 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.333 * [taylor]: Taking taylor expansion of -1 in x 0.333 * [backup-simplify]: Simplify -1 into -1 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ -1 1) into -1 0.333 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.333 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.334 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.334 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.337 * * * [progress]: simplifying candidates 0.337 * [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)) 0.338 * * [simplify]: iteration 0: 88 enodes 0.362 * * [simplify]: iteration 1: 217 enodes 0.422 * * [simplify]: iteration 2: 651 enodes 0.874 * * [simplify]: iteration 3: 2415 enodes 1.612 * * [simplify]: iteration complete: 5074 enodes 1.612 * * [simplify]: Extracting #0: cost 41 inf + 0 1.614 * * [simplify]: Extracting #1: cost 1035 inf + 0 1.619 * * [simplify]: Extracting #2: cost 1746 inf + 1562 1.634 * * [simplify]: Extracting #3: cost 1345 inf + 78207 1.685 * * [simplify]: Extracting #4: cost 349 inf + 308780 1.792 * * [simplify]: Extracting #5: cost 35 inf + 397848 1.898 * * [simplify]: Extracting #6: cost 0 inf + 407554 1.972 * [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 x) (cbrt (- 1.0 (cos 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 x) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x))))) (* (* 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) (+ 1.0 (cos x)))) (- (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) (- (* (* x x) 1/720) 1/24))) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (+ (* (* (* x x) x) (* (* (* x x) x) 1/720)) (* (* x x) (- 1/2 (* (* x x) 1/24)))) (- 1.0 (cos x)) (- 1.0 (cos x)) 1.974 * * * [progress]: adding candidates to table 2.155 * * [progress]: iteration 2 / 4 2.155 * * * [progress]: picking best candidate 2.196 * * * * [pick]: Picked # 2.196 * * * [progress]: localizing error 2.221 * * * [progress]: generating rewritten candidates 2.221 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 2.226 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 2.266 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 2.298 * * * [progress]: generating series expansions 2.298 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 2.299 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 2.299 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.299 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.299 * [taylor]: Taking taylor expansion of 1.0 in x 2.299 * [backup-simplify]: Simplify 1.0 into 1.0 2.299 * [taylor]: Taking taylor expansion of (cos x) in x 2.299 * [taylor]: Taking taylor expansion of x in x 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 1 into 1 2.299 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.299 * [taylor]: Taking taylor expansion of 1.0 in x 2.299 * [backup-simplify]: Simplify 1.0 into 1.0 2.299 * [taylor]: Taking taylor expansion of (cos x) in x 2.299 * [taylor]: Taking taylor expansion of x in x 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 1 into 1 2.300 * [backup-simplify]: Simplify (- 1) into -1 2.300 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify (+ 0) into 0 2.301 * [backup-simplify]: Simplify (- 0) into 0 2.301 * [backup-simplify]: Simplify (+ 0 0) into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.302 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.303 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.303 * [backup-simplify]: Simplify 1/2 into 1/2 2.304 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.304 * [backup-simplify]: Simplify (- 0) into 0 2.305 * [backup-simplify]: Simplify (+ 0 0) into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.307 * [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 2.308 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.308 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.308 * [backup-simplify]: Simplify -1/24 into -1/24 2.310 * [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 2.310 * [backup-simplify]: Simplify (- 0) into 0 2.311 * [backup-simplify]: Simplify (+ 0 0) into 0 2.311 * [backup-simplify]: Simplify 0 into 0 2.315 * [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 2.316 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.316 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.316 * [backup-simplify]: Simplify 1/720 into 1/720 2.317 * [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))) 2.317 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.317 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.317 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.317 * [taylor]: Taking taylor expansion of 1.0 in x 2.317 * [backup-simplify]: Simplify 1.0 into 1.0 2.317 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.317 * [taylor]: Taking taylor expansion of x in x 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (/ 1 1) into 1 2.318 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.318 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.318 * [taylor]: Taking taylor expansion of 1.0 in x 2.318 * [backup-simplify]: Simplify 1.0 into 1.0 2.318 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.318 * [taylor]: Taking taylor expansion of x in x 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (/ 1 1) into 1 2.318 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.319 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.319 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.319 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.319 * [backup-simplify]: Simplify (- 0) into 0 2.320 * [backup-simplify]: Simplify (+ 0 0) into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (- 0) into 0 2.320 * [backup-simplify]: Simplify (+ 0 0) into 0 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify (- 0) into 0 2.321 * [backup-simplify]: Simplify (+ 0 0) into 0 2.321 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify (- 0) into 0 2.322 * [backup-simplify]: Simplify (+ 0 0) into 0 2.322 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify (- 0) into 0 2.323 * [backup-simplify]: Simplify (+ 0 0) into 0 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify (- 0) into 0 2.324 * [backup-simplify]: Simplify (+ 0 0) into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 2.324 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 2.324 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.324 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.324 * [taylor]: Taking taylor expansion of 1.0 in x 2.324 * [backup-simplify]: Simplify 1.0 into 1.0 2.324 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.324 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.324 * [taylor]: Taking taylor expansion of -1 in x 2.324 * [backup-simplify]: Simplify -1 into -1 2.325 * [taylor]: Taking taylor expansion of x in x 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify 1 into 1 2.325 * [backup-simplify]: Simplify (/ -1 1) into -1 2.325 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.325 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.325 * [taylor]: Taking taylor expansion of 1.0 in x 2.325 * [backup-simplify]: Simplify 1.0 into 1.0 2.325 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.325 * [taylor]: Taking taylor expansion of -1 in x 2.325 * [backup-simplify]: Simplify -1 into -1 2.325 * [taylor]: Taking taylor expansion of x in x 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify 1 into 1 2.326 * [backup-simplify]: Simplify (/ -1 1) into -1 2.326 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.326 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.326 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.327 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 2.327 * [backup-simplify]: Simplify (- 0) into 0 2.327 * [backup-simplify]: Simplify (+ 0 0) into 0 2.327 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify (- 0) into 0 2.328 * [backup-simplify]: Simplify (+ 0 0) into 0 2.328 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify (- 0) into 0 2.329 * [backup-simplify]: Simplify (+ 0 0) into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (- 0) into 0 2.330 * [backup-simplify]: Simplify (+ 0 0) into 0 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (- 0) into 0 2.331 * [backup-simplify]: Simplify (+ 0 0) into 0 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify (- 0) into 0 2.332 * [backup-simplify]: Simplify (+ 0 0) into 0 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 2.333 * * * * [progress]: [ 2 / 3 ] generating series at (2) 2.333 * [backup-simplify]: Simplify (* (/ 1 x) (/ (- 1.0 (cos x)) x)) into (/ (- 1.0 (cos x)) (pow x 2)) 2.333 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 2.333 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 2.333 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.333 * [taylor]: Taking taylor expansion of 1.0 in x 2.333 * [backup-simplify]: Simplify 1.0 into 1.0 2.333 * [taylor]: Taking taylor expansion of (cos x) in x 2.333 * [taylor]: Taking taylor expansion of x in x 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 1 into 1 2.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.333 * [taylor]: Taking taylor expansion of x in x 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 1 into 1 2.334 * [backup-simplify]: Simplify (- 1) into -1 2.334 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.335 * [backup-simplify]: Simplify (+ 0) into 0 2.335 * [backup-simplify]: Simplify (- 0) into 0 2.335 * [backup-simplify]: Simplify (+ 0 0) into 0 2.336 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.337 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.337 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.338 * [backup-simplify]: Simplify (* 1 1) into 1 2.338 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.338 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 2.338 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.338 * [taylor]: Taking taylor expansion of 1.0 in x 2.338 * [backup-simplify]: Simplify 1.0 into 1.0 2.338 * [taylor]: Taking taylor expansion of (cos x) in x 2.338 * [taylor]: Taking taylor expansion of x in x 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 1 into 1 2.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.338 * [taylor]: Taking taylor expansion of x in x 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 1 into 1 2.339 * [backup-simplify]: Simplify (- 1) into -1 2.339 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.340 * [backup-simplify]: Simplify (+ 0) into 0 2.340 * [backup-simplify]: Simplify (- 0) into 0 2.341 * [backup-simplify]: Simplify (+ 0 0) into 0 2.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.343 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.343 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.344 * [backup-simplify]: Simplify (* 1 1) into 1 2.344 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.344 * [backup-simplify]: Simplify 1/2 into 1/2 2.346 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.346 * [backup-simplify]: Simplify (- 0) into 0 2.347 * [backup-simplify]: Simplify (+ 0 0) into 0 2.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.348 * [backup-simplify]: Simplify 0 into 0 2.352 * [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 2.352 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.353 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.355 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 2.355 * [backup-simplify]: Simplify -1/24 into -1/24 2.357 * [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 2.358 * [backup-simplify]: Simplify (- 0) into 0 2.358 * [backup-simplify]: Simplify (+ 0 0) into 0 2.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.367 * [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 2.368 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.368 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.371 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 2.371 * [backup-simplify]: Simplify 1/720 into 1/720 2.372 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 2.372 * [backup-simplify]: Simplify (* (/ 1 (/ 1 x)) (/ (- 1.0 (cos (/ 1 x))) (/ 1 x))) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 2.372 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 2.372 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 2.372 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.372 * [taylor]: Taking taylor expansion of 1.0 in x 2.372 * [backup-simplify]: Simplify 1.0 into 1.0 2.372 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.373 * [taylor]: Taking taylor expansion of x in x 2.373 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify 1 into 1 2.373 * [backup-simplify]: Simplify (/ 1 1) into 1 2.373 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.373 * [taylor]: Taking taylor expansion of x in x 2.373 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify 1 into 1 2.373 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 2.373 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.373 * [taylor]: Taking taylor expansion of 1.0 in x 2.373 * [backup-simplify]: Simplify 1.0 into 1.0 2.373 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.373 * [taylor]: Taking taylor expansion of x in x 2.373 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify 1 into 1 2.374 * [backup-simplify]: Simplify (/ 1 1) into 1 2.374 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.374 * [taylor]: Taking taylor expansion of x in x 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 1 into 1 2.374 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.374 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.375 * [backup-simplify]: Simplify (* 1 1) into 1 2.375 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 2.375 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.376 * [backup-simplify]: Simplify (- 0) into 0 2.376 * [backup-simplify]: Simplify (+ 0 0) into 0 2.377 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 2.377 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.378 * [backup-simplify]: Simplify (- 0) into 0 2.379 * [backup-simplify]: Simplify (+ 0 0) into 0 2.379 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.381 * [backup-simplify]: Simplify (- 0) into 0 2.381 * [backup-simplify]: Simplify (+ 0 0) into 0 2.382 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.382 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.384 * [backup-simplify]: Simplify (- 0) into 0 2.384 * [backup-simplify]: Simplify (+ 0 0) into 0 2.385 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.385 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.391 * [backup-simplify]: Simplify (- 0) into 0 2.391 * [backup-simplify]: Simplify (+ 0 0) into 0 2.392 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.394 * [backup-simplify]: Simplify (- 0) into 0 2.394 * [backup-simplify]: Simplify (+ 0 0) into 0 2.395 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 2.395 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- x))) (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x)))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 2.395 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 2.395 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 2.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.395 * [taylor]: Taking taylor expansion of x in x 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.395 * [taylor]: Taking taylor expansion of 1.0 in x 2.395 * [backup-simplify]: Simplify 1.0 into 1.0 2.395 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.395 * [taylor]: Taking taylor expansion of -1 in x 2.395 * [backup-simplify]: Simplify -1 into -1 2.395 * [taylor]: Taking taylor expansion of x in x 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.396 * [backup-simplify]: Simplify (/ -1 1) into -1 2.396 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.396 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 2.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.396 * [taylor]: Taking taylor expansion of x in x 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.396 * [taylor]: Taking taylor expansion of 1.0 in x 2.396 * [backup-simplify]: Simplify 1.0 into 1.0 2.396 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.396 * [taylor]: Taking taylor expansion of -1 in x 2.396 * [backup-simplify]: Simplify -1 into -1 2.396 * [taylor]: Taking taylor expansion of x in x 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [backup-simplify]: Simplify (/ -1 1) into -1 2.396 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.397 * [backup-simplify]: Simplify (* 1 1) into 1 2.397 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.397 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.397 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.397 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 2.397 * [backup-simplify]: Simplify (- 0) into 0 2.397 * [backup-simplify]: Simplify (+ 0 0) into 0 2.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify (- 0) into 0 2.399 * [backup-simplify]: Simplify (+ 0 0) into 0 2.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 2.400 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify (- 0) into 0 2.400 * [backup-simplify]: Simplify (+ 0 0) into 0 2.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 2.401 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify (- 0) into 0 2.402 * [backup-simplify]: Simplify (+ 0 0) into 0 2.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify (- 0) into 0 2.404 * [backup-simplify]: Simplify (+ 0 0) into 0 2.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify (- 0) into 0 2.407 * [backup-simplify]: Simplify (+ 0 0) into 0 2.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 2.409 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 2.410 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.410 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 2.410 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 2.410 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 2.410 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.410 * [taylor]: Taking taylor expansion of 1.0 in x 2.410 * [backup-simplify]: Simplify 1.0 into 1.0 2.410 * [taylor]: Taking taylor expansion of (cos x) in x 2.410 * [taylor]: Taking taylor expansion of x in x 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 1 into 1 2.410 * [taylor]: Taking taylor expansion of x in x 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 1 into 1 2.410 * [backup-simplify]: Simplify (- 1) into -1 2.411 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.411 * [backup-simplify]: Simplify (+ 0) into 0 2.411 * [backup-simplify]: Simplify (- 0) into 0 2.411 * [backup-simplify]: Simplify (+ 0 0) into 0 2.412 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.412 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.412 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.413 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.413 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 2.413 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.413 * [taylor]: Taking taylor expansion of 1.0 in x 2.413 * [backup-simplify]: Simplify 1.0 into 1.0 2.413 * [taylor]: Taking taylor expansion of (cos x) in x 2.413 * [taylor]: Taking taylor expansion of x in x 2.413 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify 1 into 1 2.413 * [taylor]: Taking taylor expansion of x in x 2.413 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify 1 into 1 2.413 * [backup-simplify]: Simplify (- 1) into -1 2.413 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.413 * [backup-simplify]: Simplify (+ 0) into 0 2.414 * [backup-simplify]: Simplify (- 0) into 0 2.414 * [backup-simplify]: Simplify (+ 0 0) into 0 2.414 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.415 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.415 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.415 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.415 * [backup-simplify]: Simplify 1/2 into 1/2 2.416 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.416 * [backup-simplify]: Simplify (- 0) into 0 2.416 * [backup-simplify]: Simplify (+ 0 0) into 0 2.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.417 * [backup-simplify]: Simplify 0 into 0 2.418 * [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 2.419 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.419 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.419 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 2.419 * [backup-simplify]: Simplify -1/24 into -1/24 2.421 * [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 2.421 * [backup-simplify]: Simplify (- 0) into 0 2.421 * [backup-simplify]: Simplify (+ 0 0) into 0 2.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 2.422 * [backup-simplify]: Simplify 0 into 0 2.424 * [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 2.425 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.425 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.426 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 2.426 * [backup-simplify]: Simplify 1/720 into 1/720 2.426 * [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))) 2.426 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* (- 1.0 (cos (/ 1 x))) x) 2.426 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in (x) around 0 2.426 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 2.426 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.426 * [taylor]: Taking taylor expansion of 1.0 in x 2.426 * [backup-simplify]: Simplify 1.0 into 1.0 2.426 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.426 * [taylor]: Taking taylor expansion of x in x 2.426 * [backup-simplify]: Simplify 0 into 0 2.426 * [backup-simplify]: Simplify 1 into 1 2.427 * [backup-simplify]: Simplify (/ 1 1) into 1 2.427 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.427 * [taylor]: Taking taylor expansion of x in x 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify 1 into 1 2.427 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 2.427 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.427 * [taylor]: Taking taylor expansion of 1.0 in x 2.427 * [backup-simplify]: Simplify 1.0 into 1.0 2.427 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.427 * [taylor]: Taking taylor expansion of x in x 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify 1 into 1 2.427 * [backup-simplify]: Simplify (/ 1 1) into 1 2.427 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.427 * [taylor]: Taking taylor expansion of x in x 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify 1 into 1 2.427 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.427 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.428 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify (- 0) into 0 2.428 * [backup-simplify]: Simplify (+ 0 0) into 0 2.428 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 2.428 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.429 * [backup-simplify]: Simplify (- 0) into 0 2.429 * [backup-simplify]: Simplify (+ 0 0) into 0 2.429 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 2.429 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify (- 0) into 0 2.430 * [backup-simplify]: Simplify (+ 0 0) into 0 2.430 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.430 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify (- 0) into 0 2.431 * [backup-simplify]: Simplify (+ 0 0) into 0 2.431 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify (- 0) into 0 2.432 * [backup-simplify]: Simplify (+ 0 0) into 0 2.433 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify (- 0) into 0 2.433 * [backup-simplify]: Simplify (+ 0 0) into 0 2.434 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.434 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify (- 0) into 0 2.435 * [backup-simplify]: Simplify (+ 0 0) into 0 2.437 * [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 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 2.437 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* x (- 1.0 (cos (/ -1 x))))) 2.437 * [approximate]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in (x) around 0 2.437 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 2.437 * [taylor]: Taking taylor expansion of -1 in x 2.437 * [backup-simplify]: Simplify -1 into -1 2.437 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 2.437 * [taylor]: Taking taylor expansion of x in x 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.437 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.437 * [taylor]: Taking taylor expansion of 1.0 in x 2.437 * [backup-simplify]: Simplify 1.0 into 1.0 2.437 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.437 * [taylor]: Taking taylor expansion of -1 in x 2.437 * [backup-simplify]: Simplify -1 into -1 2.438 * [taylor]: Taking taylor expansion of x in x 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [backup-simplify]: Simplify (/ -1 1) into -1 2.438 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.438 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 2.438 * [taylor]: Taking taylor expansion of -1 in x 2.438 * [backup-simplify]: Simplify -1 into -1 2.438 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 2.438 * [taylor]: Taking taylor expansion of x in x 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.438 * [taylor]: Taking taylor expansion of 1.0 in x 2.438 * [backup-simplify]: Simplify 1.0 into 1.0 2.438 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.438 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.438 * [taylor]: Taking taylor expansion of -1 in x 2.438 * [backup-simplify]: Simplify -1 into -1 2.438 * [taylor]: Taking taylor expansion of x in x 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 1 into 1 2.439 * [backup-simplify]: Simplify (/ -1 1) into -1 2.439 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.439 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.439 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.439 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 2.440 * [backup-simplify]: Simplify (* -1 0) into 0 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify (- 0) into 0 2.441 * [backup-simplify]: Simplify (+ 0 0) into 0 2.441 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 2.442 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 2.442 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 2.442 * [backup-simplify]: Simplify (- 0) into 0 2.442 * [backup-simplify]: Simplify (+ 0 0) into 0 2.444 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 2.445 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify (- 0) into 0 2.445 * [backup-simplify]: Simplify (+ 0 0) into 0 2.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 2.448 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify (- 0) into 0 2.448 * [backup-simplify]: Simplify (+ 0 0) into 0 2.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 2.452 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify (- 0) into 0 2.452 * [backup-simplify]: Simplify (+ 0 0) into 0 2.454 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 2.456 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 2.456 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify (- 0) into 0 2.457 * [backup-simplify]: Simplify (+ 0 0) into 0 2.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 2.461 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 2.461 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify (- 0) into 0 2.462 * [backup-simplify]: Simplify (+ 0 0) into 0 2.463 * [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 2.465 * [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 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 2.465 * * * [progress]: simplifying candidates 2.468 * [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)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (+ (- (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- 0 (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- 0 (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- (log 1) (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log 1) (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (log (/ 1 x)) (- (log (- 1.0 (cos x))) (log x))) (+ (log (/ 1 x)) (log (/ (- 1.0 (cos x)) x))) (log (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (exp (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ (* (* 1 1) 1) (* (* x x) 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)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 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))) (* (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x)))) (cbrt (* (/ 1 x) (/ (- 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))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* 1 (- 1.0 (cos x))) (* x x) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) 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)) x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) 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)) x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x)))) (* (/ 1 x) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) 1) (* (/ 1 x) (- 1.0 (cos x))) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ 1 (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 (sqrt x)) (/ (- 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) (- 1.0 (cos x))) (* 1 (/ (- 1.0 (cos x)) 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))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (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 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) 2.470 * * [simplify]: iteration 0: 189 enodes 2.519 * * [simplify]: iteration 1: 524 enodes 2.717 * * [simplify]: iteration 2: 1520 enodes 3.730 * * [simplify]: iteration complete: 5000 enodes 3.730 * * [simplify]: Extracting #0: cost 84 inf + 0 3.732 * * [simplify]: Extracting #1: cost 796 inf + 1 3.737 * * [simplify]: Extracting #2: cost 1507 inf + 6544 3.755 * * [simplify]: Extracting #3: cost 1097 inf + 87115 3.811 * * [simplify]: Extracting #4: cost 270 inf + 287231 3.913 * * [simplify]: Extracting #5: cost 25 inf + 360211 3.991 * * [simplify]: Extracting #6: cost 0 inf + 367607 4.054 * * [simplify]: Extracting #7: cost 0 inf + 367567 4.154 * [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) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (+ (cos x) 1.0) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (/ (- 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 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt (/ 1 x)) (sqrt x)) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (/ 1 x)) (sqrt x)) (sqrt (- 1.0 (cos 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 x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt 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 x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (* (cbrt (/ (- 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)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) x) (/ (/ (cbrt (- 1.0 (cos x))) (/ (sqrt x) (cbrt (- 1.0 (cos x))))) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) x) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 (sqrt x)) x) (/ 1 x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (* (cbrt x) (cbrt x))) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 (sqrt x)) x) (/ 1 x) (/ 1 x) (/ (- 1.0 (cos x)) x) (* (* (cbrt (/ 1 x)) (/ 1 x)) (- 1.0 (cos x))) (* (- 1.0 (cos x)) (* (/ 1 x) (sqrt (/ 1 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) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) 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) (/ (/ (- 1.0 (cos x)) x) x) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) 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))) (/ (sqrt x) (cbrt (- 1.0 (cos 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) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 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))) (/ (- (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 (/ (- 1.0 (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))) (* x (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (* x (+ 1.0 (cos x))) (+ (* (* x (* x x)) (* (* x (* x x)) 1/720)) (+ (* (* x x) 1/2) (* -1/24 (* (* x x) (* x x))))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (+ (* (* x x) -1/24) (* (* 1/720 (* x x)) (* x x))) 1/2) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (+ (* (pow x 5) 1/720) (* x (- 1/2 (* x (* x 1/24))))) (/ (- 1.0 (cos x)) x) (/ (- (- (cos x) 1.0)) x) 4.165 * * * [progress]: adding candidates to table 4.578 * * [progress]: iteration 3 / 4 4.578 * * * [progress]: picking best candidate 4.612 * * * * [pick]: Picked # 4.612 * * * [progress]: localizing error 4.623 * * * [progress]: generating rewritten candidates 4.623 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 4.627 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 4.647 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.681 * * * [progress]: generating series expansions 4.681 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 4.681 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 4.681 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.681 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.681 * [taylor]: Taking taylor expansion of 1.0 in x 4.681 * [backup-simplify]: Simplify 1.0 into 1.0 4.681 * [taylor]: Taking taylor expansion of (cos x) in x 4.681 * [taylor]: Taking taylor expansion of x in x 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify 1 into 1 4.681 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.681 * [taylor]: Taking taylor expansion of 1.0 in x 4.681 * [backup-simplify]: Simplify 1.0 into 1.0 4.681 * [taylor]: Taking taylor expansion of (cos x) in x 4.681 * [taylor]: Taking taylor expansion of x in x 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify 1 into 1 4.682 * [backup-simplify]: Simplify (- 1) into -1 4.682 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify (+ 0) into 0 4.683 * [backup-simplify]: Simplify (- 0) into 0 4.683 * [backup-simplify]: Simplify (+ 0 0) into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.684 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.684 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.684 * [backup-simplify]: Simplify 1/2 into 1/2 4.685 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.685 * [backup-simplify]: Simplify (- 0) into 0 4.685 * [backup-simplify]: Simplify (+ 0 0) into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.687 * [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 4.687 * [backup-simplify]: Simplify (- 1/24) into -1/24 4.687 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 4.687 * [backup-simplify]: Simplify -1/24 into -1/24 4.688 * [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 4.689 * [backup-simplify]: Simplify (- 0) into 0 4.689 * [backup-simplify]: Simplify (+ 0 0) into 0 4.689 * [backup-simplify]: Simplify 0 into 0 4.695 * [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 4.695 * [backup-simplify]: Simplify (- -1/720) into 1/720 4.696 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 4.696 * [backup-simplify]: Simplify 1/720 into 1/720 4.696 * [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))) 4.696 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 4.696 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.697 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.697 * [taylor]: Taking taylor expansion of 1.0 in x 4.697 * [backup-simplify]: Simplify 1.0 into 1.0 4.697 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.697 * [taylor]: Taking taylor expansion of x in x 4.697 * [backup-simplify]: Simplify 0 into 0 4.697 * [backup-simplify]: Simplify 1 into 1 4.697 * [backup-simplify]: Simplify (/ 1 1) into 1 4.697 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.697 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.697 * [taylor]: Taking taylor expansion of 1.0 in x 4.697 * [backup-simplify]: Simplify 1.0 into 1.0 4.697 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.697 * [taylor]: Taking taylor expansion of x in x 4.697 * [backup-simplify]: Simplify 0 into 0 4.697 * [backup-simplify]: Simplify 1 into 1 4.698 * [backup-simplify]: Simplify (/ 1 1) into 1 4.698 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.698 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.698 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.698 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 4.699 * [backup-simplify]: Simplify (- 0) into 0 4.699 * [backup-simplify]: Simplify (+ 0 0) into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify (- 0) into 0 4.700 * [backup-simplify]: Simplify (+ 0 0) into 0 4.700 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify (- 0) into 0 4.701 * [backup-simplify]: Simplify (+ 0 0) into 0 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify (- 0) into 0 4.701 * [backup-simplify]: Simplify (+ 0 0) into 0 4.701 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify (- 0) into 0 4.702 * [backup-simplify]: Simplify (+ 0 0) into 0 4.702 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify (- 0) into 0 4.703 * [backup-simplify]: Simplify (+ 0 0) into 0 4.703 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 4.703 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 4.703 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.703 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.703 * [taylor]: Taking taylor expansion of 1.0 in x 4.703 * [backup-simplify]: Simplify 1.0 into 1.0 4.703 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.704 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.704 * [taylor]: Taking taylor expansion of -1 in x 4.704 * [backup-simplify]: Simplify -1 into -1 4.704 * [taylor]: Taking taylor expansion of x in x 4.704 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify 1 into 1 4.704 * [backup-simplify]: Simplify (/ -1 1) into -1 4.704 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.704 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.704 * [taylor]: Taking taylor expansion of 1.0 in x 4.704 * [backup-simplify]: Simplify 1.0 into 1.0 4.704 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.704 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.704 * [taylor]: Taking taylor expansion of -1 in x 4.704 * [backup-simplify]: Simplify -1 into -1 4.704 * [taylor]: Taking taylor expansion of x in x 4.704 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify 1 into 1 4.705 * [backup-simplify]: Simplify (/ -1 1) into -1 4.705 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.705 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.705 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.705 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 4.706 * [backup-simplify]: Simplify (- 0) into 0 4.706 * [backup-simplify]: Simplify (+ 0 0) into 0 4.706 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify (- 0) into 0 4.707 * [backup-simplify]: Simplify (+ 0 0) into 0 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify (- 0) into 0 4.708 * [backup-simplify]: Simplify (+ 0 0) into 0 4.708 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify (- 0) into 0 4.709 * [backup-simplify]: Simplify (+ 0 0) into 0 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify (- 0) into 0 4.709 * [backup-simplify]: Simplify (+ 0 0) into 0 4.709 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify (- 0) into 0 4.710 * [backup-simplify]: Simplify (+ 0 0) into 0 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 4.711 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 4.711 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 4.711 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 4.711 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 4.711 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.711 * [taylor]: Taking taylor expansion of 1.0 in x 4.711 * [backup-simplify]: Simplify 1.0 into 1.0 4.711 * [taylor]: Taking taylor expansion of (cos x) in x 4.711 * [taylor]: Taking taylor expansion of x in x 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [taylor]: Taking taylor expansion of x in x 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (- 1) into -1 4.712 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.712 * [backup-simplify]: Simplify (+ 0) into 0 4.713 * [backup-simplify]: Simplify (- 0) into 0 4.713 * [backup-simplify]: Simplify (+ 0 0) into 0 4.714 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.714 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.715 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.715 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.715 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 4.715 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.715 * [taylor]: Taking taylor expansion of 1.0 in x 4.715 * [backup-simplify]: Simplify 1.0 into 1.0 4.715 * [taylor]: Taking taylor expansion of (cos x) in x 4.716 * [taylor]: Taking taylor expansion of x in x 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 1 into 1 4.716 * [taylor]: Taking taylor expansion of x in x 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 1 into 1 4.716 * [backup-simplify]: Simplify (- 1) into -1 4.717 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.717 * [backup-simplify]: Simplify (+ 0) into 0 4.717 * [backup-simplify]: Simplify (- 0) into 0 4.718 * [backup-simplify]: Simplify (+ 0 0) into 0 4.719 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.719 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.720 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.720 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.720 * [backup-simplify]: Simplify 1/2 into 1/2 4.721 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.722 * [backup-simplify]: Simplify (- 0) into 0 4.722 * [backup-simplify]: Simplify (+ 0 0) into 0 4.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.723 * [backup-simplify]: Simplify 0 into 0 4.726 * [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 4.726 * [backup-simplify]: Simplify (- 1/24) into -1/24 4.727 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 4.728 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 4.728 * [backup-simplify]: Simplify -1/24 into -1/24 4.730 * [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 4.731 * [backup-simplify]: Simplify (- 0) into 0 4.731 * [backup-simplify]: Simplify (+ 0 0) into 0 4.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 4.732 * [backup-simplify]: Simplify 0 into 0 4.737 * [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 4.738 * [backup-simplify]: Simplify (- -1/720) into 1/720 4.738 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 4.740 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 4.740 * [backup-simplify]: Simplify 1/720 into 1/720 4.740 * [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))) 4.741 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* (- 1.0 (cos (/ 1 x))) x) 4.741 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in (x) around 0 4.741 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 4.741 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.741 * [taylor]: Taking taylor expansion of 1.0 in x 4.741 * [backup-simplify]: Simplify 1.0 into 1.0 4.741 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.741 * [taylor]: Taking taylor expansion of x in x 4.741 * [backup-simplify]: Simplify 0 into 0 4.741 * [backup-simplify]: Simplify 1 into 1 4.741 * [backup-simplify]: Simplify (/ 1 1) into 1 4.741 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.741 * [taylor]: Taking taylor expansion of x in x 4.741 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 1 into 1 4.742 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 4.742 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.742 * [taylor]: Taking taylor expansion of 1.0 in x 4.742 * [backup-simplify]: Simplify 1.0 into 1.0 4.742 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.742 * [taylor]: Taking taylor expansion of x in x 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 1 into 1 4.742 * [backup-simplify]: Simplify (/ 1 1) into 1 4.742 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.742 * [taylor]: Taking taylor expansion of x in x 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 1 into 1 4.742 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.743 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.743 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 4.743 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify (- 0) into 0 4.744 * [backup-simplify]: Simplify (+ 0 0) into 0 4.744 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 4.744 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 4.745 * [backup-simplify]: Simplify (- 0) into 0 4.745 * [backup-simplify]: Simplify (+ 0 0) into 0 4.746 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 4.746 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify (- 0) into 0 4.747 * [backup-simplify]: Simplify (+ 0 0) into 0 4.747 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.747 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify (- 0) into 0 4.748 * [backup-simplify]: Simplify (+ 0 0) into 0 4.749 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.749 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify (- 0) into 0 4.750 * [backup-simplify]: Simplify (+ 0 0) into 0 4.751 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.751 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify (- 0) into 0 4.752 * [backup-simplify]: Simplify (+ 0 0) into 0 4.753 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.753 * [backup-simplify]: Simplify 0 into 0 4.754 * [backup-simplify]: Simplify (- 0) into 0 4.754 * [backup-simplify]: Simplify (+ 0 0) into 0 4.756 * [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 4.756 * [backup-simplify]: Simplify 0 into 0 4.756 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 4.756 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* x (- 1.0 (cos (/ -1 x))))) 4.756 * [approximate]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in (x) around 0 4.756 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 4.756 * [taylor]: Taking taylor expansion of -1 in x 4.756 * [backup-simplify]: Simplify -1 into -1 4.756 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 4.756 * [taylor]: Taking taylor expansion of x in x 4.756 * [backup-simplify]: Simplify 0 into 0 4.756 * [backup-simplify]: Simplify 1 into 1 4.756 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.757 * [taylor]: Taking taylor expansion of 1.0 in x 4.757 * [backup-simplify]: Simplify 1.0 into 1.0 4.757 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.757 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.757 * [taylor]: Taking taylor expansion of -1 in x 4.757 * [backup-simplify]: Simplify -1 into -1 4.757 * [taylor]: Taking taylor expansion of x in x 4.757 * [backup-simplify]: Simplify 0 into 0 4.757 * [backup-simplify]: Simplify 1 into 1 4.757 * [backup-simplify]: Simplify (/ -1 1) into -1 4.757 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.757 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 4.757 * [taylor]: Taking taylor expansion of -1 in x 4.757 * [backup-simplify]: Simplify -1 into -1 4.757 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 4.757 * [taylor]: Taking taylor expansion of x in x 4.758 * [backup-simplify]: Simplify 0 into 0 4.758 * [backup-simplify]: Simplify 1 into 1 4.758 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.758 * [taylor]: Taking taylor expansion of 1.0 in x 4.758 * [backup-simplify]: Simplify 1.0 into 1.0 4.758 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.758 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.758 * [taylor]: Taking taylor expansion of -1 in x 4.758 * [backup-simplify]: Simplify -1 into -1 4.758 * [taylor]: Taking taylor expansion of x in x 4.758 * [backup-simplify]: Simplify 0 into 0 4.758 * [backup-simplify]: Simplify 1 into 1 4.758 * [backup-simplify]: Simplify (/ -1 1) into -1 4.758 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.758 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.759 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.759 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 4.759 * [backup-simplify]: Simplify (* -1 0) into 0 4.759 * [backup-simplify]: Simplify 0 into 0 4.760 * [backup-simplify]: Simplify (- 0) into 0 4.760 * [backup-simplify]: Simplify (+ 0 0) into 0 4.760 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 4.761 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 4.761 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 4.762 * [backup-simplify]: Simplify (- 0) into 0 4.762 * [backup-simplify]: Simplify (+ 0 0) into 0 4.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 4.764 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 4.764 * [backup-simplify]: Simplify 0 into 0 4.764 * [backup-simplify]: Simplify (- 0) into 0 4.765 * [backup-simplify]: Simplify (+ 0 0) into 0 4.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 4.767 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 4.767 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify (- 0) into 0 4.768 * [backup-simplify]: Simplify (+ 0 0) into 0 4.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 4.771 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify (- 0) into 0 4.772 * [backup-simplify]: Simplify (+ 0 0) into 0 4.774 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 4.776 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 4.776 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify (- 0) into 0 4.777 * [backup-simplify]: Simplify (+ 0 0) into 0 4.779 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 4.782 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify (- 0) into 0 4.782 * [backup-simplify]: Simplify (+ 0 0) into 0 4.785 * [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 4.788 * [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 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 4.788 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.789 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos x)) x) x) into (/ (- 1.0 (cos x)) (pow x 2)) 4.789 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 4.789 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 4.789 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.789 * [taylor]: Taking taylor expansion of 1.0 in x 4.789 * [backup-simplify]: Simplify 1.0 into 1.0 4.789 * [taylor]: Taking taylor expansion of (cos x) in x 4.789 * [taylor]: Taking taylor expansion of x in x 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 1 into 1 4.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.789 * [taylor]: Taking taylor expansion of x in x 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 1 into 1 4.789 * [backup-simplify]: Simplify (- 1) into -1 4.790 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.790 * [backup-simplify]: Simplify (+ 0) into 0 4.791 * [backup-simplify]: Simplify (- 0) into 0 4.791 * [backup-simplify]: Simplify (+ 0 0) into 0 4.792 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.792 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.793 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.793 * [backup-simplify]: Simplify (* 1 1) into 1 4.794 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.794 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 4.794 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.794 * [taylor]: Taking taylor expansion of 1.0 in x 4.794 * [backup-simplify]: Simplify 1.0 into 1.0 4.794 * [taylor]: Taking taylor expansion of (cos x) in x 4.794 * [taylor]: Taking taylor expansion of x in x 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 1 into 1 4.794 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.794 * [taylor]: Taking taylor expansion of x in x 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 1 into 1 4.794 * [backup-simplify]: Simplify (- 1) into -1 4.795 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.795 * [backup-simplify]: Simplify (+ 0) into 0 4.796 * [backup-simplify]: Simplify (- 0) into 0 4.796 * [backup-simplify]: Simplify (+ 0 0) into 0 4.797 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.798 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.798 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.799 * [backup-simplify]: Simplify (* 1 1) into 1 4.799 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.799 * [backup-simplify]: Simplify 1/2 into 1/2 4.801 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.801 * [backup-simplify]: Simplify (- 0) into 0 4.802 * [backup-simplify]: Simplify (+ 0 0) into 0 4.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.803 * [backup-simplify]: Simplify 0 into 0 4.806 * [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 4.807 * [backup-simplify]: Simplify (- 1/24) into -1/24 4.807 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 4.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.809 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 4.809 * [backup-simplify]: Simplify -1/24 into -1/24 4.812 * [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 4.812 * [backup-simplify]: Simplify (- 0) into 0 4.813 * [backup-simplify]: Simplify (+ 0 0) into 0 4.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 4.815 * [backup-simplify]: Simplify 0 into 0 4.821 * [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 4.821 * [backup-simplify]: Simplify (- -1/720) into 1/720 4.822 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 4.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.824 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 4.825 * [backup-simplify]: Simplify 1/720 into 1/720 4.825 * [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))) 4.825 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 x)) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 4.825 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 4.826 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 4.826 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.826 * [taylor]: Taking taylor expansion of 1.0 in x 4.826 * [backup-simplify]: Simplify 1.0 into 1.0 4.826 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.826 * [taylor]: Taking taylor expansion of x in x 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 1 into 1 4.826 * [backup-simplify]: Simplify (/ 1 1) into 1 4.827 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.827 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.827 * [taylor]: Taking taylor expansion of x in x 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify 1 into 1 4.827 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 4.827 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.827 * [taylor]: Taking taylor expansion of 1.0 in x 4.827 * [backup-simplify]: Simplify 1.0 into 1.0 4.827 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.827 * [taylor]: Taking taylor expansion of x in x 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify 1 into 1 4.827 * [backup-simplify]: Simplify (/ 1 1) into 1 4.827 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.827 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.827 * [taylor]: Taking taylor expansion of x in x 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify 1 into 1 4.828 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.828 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.829 * [backup-simplify]: Simplify (* 1 1) into 1 4.829 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 4.829 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 4.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.831 * [backup-simplify]: Simplify (- 0) into 0 4.831 * [backup-simplify]: Simplify (+ 0 0) into 0 4.832 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 4.832 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.833 * [backup-simplify]: Simplify (- 0) into 0 4.834 * [backup-simplify]: Simplify (+ 0 0) into 0 4.834 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 4.834 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.836 * [backup-simplify]: Simplify (- 0) into 0 4.836 * [backup-simplify]: Simplify (+ 0 0) into 0 4.837 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.837 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.839 * [backup-simplify]: Simplify (- 0) into 0 4.839 * [backup-simplify]: Simplify (+ 0 0) into 0 4.840 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.840 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.842 * [backup-simplify]: Simplify (- 0) into 0 4.847 * [backup-simplify]: Simplify (+ 0 0) into 0 4.849 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.849 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.851 * [backup-simplify]: Simplify (- 0) into 0 4.851 * [backup-simplify]: Simplify (+ 0 0) into 0 4.853 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.853 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 4.853 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (- x))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 4.854 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 4.854 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 4.854 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.854 * [taylor]: Taking taylor expansion of x in x 4.854 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify 1 into 1 4.854 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.854 * [taylor]: Taking taylor expansion of 1.0 in x 4.854 * [backup-simplify]: Simplify 1.0 into 1.0 4.854 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.854 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.854 * [taylor]: Taking taylor expansion of -1 in x 4.854 * [backup-simplify]: Simplify -1 into -1 4.854 * [taylor]: Taking taylor expansion of x in x 4.854 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify 1 into 1 4.854 * [backup-simplify]: Simplify (/ -1 1) into -1 4.855 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.855 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 4.855 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.855 * [taylor]: Taking taylor expansion of x in x 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify 1 into 1 4.855 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.855 * [taylor]: Taking taylor expansion of 1.0 in x 4.855 * [backup-simplify]: Simplify 1.0 into 1.0 4.855 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.855 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.855 * [taylor]: Taking taylor expansion of -1 in x 4.855 * [backup-simplify]: Simplify -1 into -1 4.855 * [taylor]: Taking taylor expansion of x in x 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify 1 into 1 4.855 * [backup-simplify]: Simplify (/ -1 1) into -1 4.856 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.856 * [backup-simplify]: Simplify (* 1 1) into 1 4.856 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.856 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.856 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.857 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 4.857 * [backup-simplify]: Simplify (- 0) into 0 4.857 * [backup-simplify]: Simplify (+ 0 0) into 0 4.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify (- 0) into 0 4.859 * [backup-simplify]: Simplify (+ 0 0) into 0 4.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 4.861 * [backup-simplify]: Simplify 0 into 0 4.861 * [backup-simplify]: Simplify (- 0) into 0 4.862 * [backup-simplify]: Simplify (+ 0 0) into 0 4.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 4.863 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify (- 0) into 0 4.864 * [backup-simplify]: Simplify (+ 0 0) into 0 4.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 4.865 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify (- 0) into 0 4.866 * [backup-simplify]: Simplify (+ 0 0) into 0 4.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify (- 0) into 0 4.868 * [backup-simplify]: Simplify (+ 0 0) into 0 4.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 4.871 * [backup-simplify]: Simplify 0 into 0 4.872 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 4.872 * * * [progress]: simplifying candidates 4.874 * [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))) (- (- (log (- 1.0 (cos x))) (log x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log 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)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos 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)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (* (cbrt x) (cbrt x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (sqrt x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) 1) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) 1) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) 1) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) 1) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) x) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) 1) (/ (/ (cbrt (- 1.0 (cos x))) x) x) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) 1) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (cbrt 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)) 1) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) 1) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) 1) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) 1) 1) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ 1 1) 1) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ 1 1) 1) (/ (/ (- 1.0 (cos x)) x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 1) (/ (/ (- 1.0 (cos x)) x) x) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ (/ 1 x) x) (/ 1 x) (/ 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) (/ 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)) (* x 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)) 4.877 * * [simplify]: iteration 0: 229 enodes 4.963 * * [simplify]: iteration 1: 530 enodes 5.239 * * [simplify]: iteration 2: 1389 enodes 6.031 * * [simplify]: iteration complete: 5001 enodes 6.031 * * [simplify]: Extracting #0: cost 125 inf + 0 6.041 * * [simplify]: Extracting #1: cost 1014 inf + 1 6.052 * * [simplify]: Extracting #2: cost 1865 inf + 4998 6.081 * * [simplify]: Extracting #3: cost 1147 inf + 112768 6.158 * * [simplify]: Extracting #4: cost 232 inf + 340947 6.255 * * [simplify]: Extracting #5: cost 13 inf + 404117 6.369 * * [simplify]: Extracting #6: cost 0 inf + 408028 6.472 * [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) (cbrt x))) (/ (- 1.0 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x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (* (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) x) (cbrt x)) (/ (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (* (sqrt x) (cbrt x))) (* (/ (cbrt (- 1.0 (cos x))) x) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (* (cbrt (- 1.0 (cos x))) (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) x) (cbrt x)) (* (cbrt (- 1.0 (cos x))) (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ (/ (cbrt (- 1.0 (cos x))) x) (sqrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (* x x)) (/ (sqrt (- 1.0 (cos x))) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (sqrt x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* x (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (sqrt x))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* x (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (* x x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* x (sqrt x))) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* x (sqrt x))) 1 (/ (- 1.0 (cos x)) (* x x)) (/ (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (sqrt x) (* (cbrt x) (cbrt x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (sqrt x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x (cbrt x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (sqrt x) (* (cbrt x) (cbrt x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (sqrt x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x (sqrt x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x (cbrt x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x (sqrt x))) (+ (sqrt (cos x)) (sqrt 1.0)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* x (sqrt x))) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* x (sqrt x))) 1 (/ (- 1.0 (cos x)) (* x x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* x (sqrt x))) 1 (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (- 1.0 (cos x)) (/ (/ 1 x) x) (/ 1 x) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* x (* (cbrt x) (cbrt x)))) (/ (- 1.0 (cos x)) (* x (sqrt x))) (/ (- 1.0 (cos x)) x) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (* (/ x (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (* x (sqrt x)) (cbrt (- 1.0 (cos x)))) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ x (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (/ (* (sqrt x) x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 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 (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (* x (sqrt x)) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x (cbrt x)) (- 1.0 (cos x))) (/ (* x (sqrt x)) (- 1.0 (cos x))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- 1.0 (cos x))) (* x x) (* x x) (+ (+ (* -1/24 (* (* x x) (* x x))) (* (* 1/2 x) x)) (* 1/720 (* (* (* x x) (* x x)) (* x x)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* (pow x 5) 1/720) (* x (- 1/2 (* (* 1/24 x) x)))) (/ (- 1.0 (cos x)) x) (- (/ (- (cos x) 1.0) x)) (+ (* (* 1/720 (* x x)) (* x x)) (+ 1/2 (* (* x x) -1/24))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) 6.480 * * * [progress]: adding candidates to table 7.091 * * [progress]: iteration 4 / 4 7.091 * * * [progress]: picking best candidate 7.108 * * * * [pick]: Picked # 7.108 * * * [progress]: localizing error 7.130 * * * [progress]: generating rewritten candidates 7.130 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 7.159 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 7.255 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 7.273 * * * [progress]: generating series expansions 7.273 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 7.273 * [backup-simplify]: Simplify (- (/ 1.0 x) (/ (cos x) x)) into (- (* 1.0 (/ 1 x)) (/ (cos x) x)) 7.273 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in (x) around 0 7.273 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 7.274 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 7.274 * [taylor]: Taking taylor expansion of 1.0 in x 7.274 * [backup-simplify]: Simplify 1.0 into 1.0 7.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.274 * [taylor]: Taking taylor expansion of x in x 7.274 * [backup-simplify]: Simplify 0 into 0 7.274 * [backup-simplify]: Simplify 1 into 1 7.274 * [backup-simplify]: Simplify (/ 1 1) into 1 7.274 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 7.274 * [taylor]: Taking taylor expansion of (cos x) in x 7.274 * [taylor]: Taking taylor expansion of x in x 7.274 * [backup-simplify]: Simplify 0 into 0 7.275 * [backup-simplify]: Simplify 1 into 1 7.275 * [taylor]: Taking taylor expansion of x in x 7.275 * [backup-simplify]: Simplify 0 into 0 7.275 * [backup-simplify]: Simplify 1 into 1 7.275 * [backup-simplify]: Simplify (/ 1 1) into 1 7.275 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 7.275 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 7.275 * [taylor]: Taking taylor expansion of 1.0 in x 7.275 * [backup-simplify]: Simplify 1.0 into 1.0 7.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.275 * [taylor]: Taking taylor expansion of x in x 7.275 * [backup-simplify]: Simplify 0 into 0 7.275 * [backup-simplify]: Simplify 1 into 1 7.276 * [backup-simplify]: Simplify (/ 1 1) into 1 7.276 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 7.276 * [taylor]: Taking taylor expansion of (cos x) in x 7.276 * [taylor]: Taking taylor expansion of x in x 7.276 * [backup-simplify]: Simplify 0 into 0 7.276 * [backup-simplify]: Simplify 1 into 1 7.276 * [taylor]: Taking taylor expansion of x in x 7.276 * [backup-simplify]: Simplify 0 into 0 7.276 * [backup-simplify]: Simplify 1 into 1 7.276 * [backup-simplify]: Simplify (/ 1 1) into 1 7.277 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.278 * [backup-simplify]: Simplify (- 1) into -1 7.278 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 7.278 * [backup-simplify]: Simplify 0 into 0 7.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.280 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 7.280 * [backup-simplify]: Simplify (+ 0) into 0 7.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 7.281 * [backup-simplify]: Simplify (- 0) into 0 7.281 * [backup-simplify]: Simplify (+ 0 0) into 0 7.282 * [backup-simplify]: Simplify 0 into 0 7.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.283 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 7.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 7.285 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 7.286 * [backup-simplify]: Simplify (- -1/2) into 1/2 7.286 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.286 * [backup-simplify]: Simplify 1/2 into 1/2 7.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.288 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.289 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 7.291 * [backup-simplify]: Simplify (- 0) into 0 7.291 * [backup-simplify]: Simplify (+ 0 0) into 0 7.291 * [backup-simplify]: Simplify 0 into 0 7.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.294 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.296 * [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 7.298 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 7.299 * [backup-simplify]: Simplify (- 1/24) into -1/24 7.299 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 7.299 * [backup-simplify]: Simplify -1/24 into -1/24 7.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.302 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.304 * [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 7.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 7.310 * [backup-simplify]: Simplify (- 0) into 0 7.310 * [backup-simplify]: Simplify (+ 0 0) into 0 7.310 * [backup-simplify]: Simplify 0 into 0 7.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.313 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.318 * [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 7.320 * [backup-simplify]: Simplify (- (/ -1/720 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into -1/720 7.320 * [backup-simplify]: Simplify (- -1/720) into 1/720 7.321 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 7.321 * [backup-simplify]: Simplify 1/720 into 1/720 7.321 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 7.321 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 x)) (/ (cos (/ 1 x)) (/ 1 x))) into (- (* 1.0 x) (* x (cos (/ 1 x)))) 7.321 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in (x) around 0 7.322 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 7.322 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 7.322 * [taylor]: Taking taylor expansion of 1.0 in x 7.322 * [backup-simplify]: Simplify 1.0 into 1.0 7.322 * [taylor]: Taking taylor expansion of x in x 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify 1 into 1 7.322 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 7.322 * [taylor]: Taking taylor expansion of x in x 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify 1 into 1 7.322 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 7.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.322 * [taylor]: Taking taylor expansion of x in x 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify 1 into 1 7.322 * [backup-simplify]: Simplify (/ 1 1) into 1 7.322 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 7.322 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 7.322 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 7.322 * [taylor]: Taking taylor expansion of 1.0 in x 7.322 * [backup-simplify]: Simplify 1.0 into 1.0 7.322 * [taylor]: Taking taylor expansion of x in x 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify 1 into 1 7.323 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 7.323 * [taylor]: Taking taylor expansion of x in x 7.323 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify 1 into 1 7.323 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 7.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.323 * [taylor]: Taking taylor expansion of x in x 7.323 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify 1 into 1 7.323 * [backup-simplify]: Simplify (/ 1 1) into 1 7.323 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 7.324 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.324 * [backup-simplify]: Simplify (* 0 (cos (/ 1 x))) into 0 7.324 * [backup-simplify]: Simplify (- 0) into 0 7.324 * [backup-simplify]: Simplify (+ 0 0) into 0 7.324 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.326 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1 x)))) into (cos (/ 1 x)) 7.326 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 7.326 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 7.326 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 7.327 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1 x))))) into 0 7.329 * [backup-simplify]: Simplify (- 0) into 0 7.329 * [backup-simplify]: Simplify (+ 0 0) into 0 7.329 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 7.332 * [backup-simplify]: Simplify (- 0) into 0 7.332 * [backup-simplify]: Simplify (+ 0 0) into 0 7.332 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 7.335 * [backup-simplify]: Simplify (- 0) into 0 7.335 * [backup-simplify]: Simplify (+ 0 0) into 0 7.335 * [backup-simplify]: Simplify 0 into 0 7.337 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 7.339 * [backup-simplify]: Simplify (- 0) into 0 7.339 * [backup-simplify]: Simplify (+ 0 0) into 0 7.339 * [backup-simplify]: Simplify 0 into 0 7.341 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 7.344 * [backup-simplify]: Simplify (- 0) into 0 7.344 * [backup-simplify]: Simplify (+ 0 0) into 0 7.344 * [backup-simplify]: Simplify 0 into 0 7.346 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))))) into 0 7.349 * [backup-simplify]: Simplify (- 0) into 0 7.349 * [backup-simplify]: Simplify (+ 0 0) into 0 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 7.350 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- x))) (/ (cos (/ 1 (- x))) (/ 1 (- x)))) into (- (* x (cos (/ -1 x))) (* 1.0 x)) 7.350 * [approximate]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in (x) around 0 7.350 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 7.350 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 7.350 * [taylor]: Taking taylor expansion of x in x 7.350 * [backup-simplify]: Simplify 0 into 0 7.350 * [backup-simplify]: Simplify 1 into 1 7.350 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.350 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.350 * [taylor]: Taking taylor expansion of -1 in x 7.350 * [backup-simplify]: Simplify -1 into -1 7.350 * [taylor]: Taking taylor expansion of x in x 7.350 * [backup-simplify]: Simplify 0 into 0 7.350 * [backup-simplify]: Simplify 1 into 1 7.351 * [backup-simplify]: Simplify (/ -1 1) into -1 7.351 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 7.351 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 7.351 * [taylor]: Taking taylor expansion of 1.0 in x 7.351 * [backup-simplify]: Simplify 1.0 into 1.0 7.351 * [taylor]: Taking taylor expansion of x in x 7.351 * [backup-simplify]: Simplify 0 into 0 7.351 * [backup-simplify]: Simplify 1 into 1 7.351 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 7.351 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 7.351 * [taylor]: Taking taylor expansion of x in x 7.351 * [backup-simplify]: Simplify 0 into 0 7.351 * [backup-simplify]: Simplify 1 into 1 7.351 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.351 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.351 * [taylor]: Taking taylor expansion of -1 in x 7.351 * [backup-simplify]: Simplify -1 into -1 7.351 * [taylor]: Taking taylor expansion of x in x 7.351 * [backup-simplify]: Simplify 0 into 0 7.351 * [backup-simplify]: Simplify 1 into 1 7.352 * [backup-simplify]: Simplify (/ -1 1) into -1 7.352 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 7.352 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 7.352 * [taylor]: Taking taylor expansion of 1.0 in x 7.352 * [backup-simplify]: Simplify 1.0 into 1.0 7.352 * [taylor]: Taking taylor expansion of x in x 7.352 * [backup-simplify]: Simplify 0 into 0 7.352 * [backup-simplify]: Simplify 1 into 1 7.352 * [backup-simplify]: Simplify (* 0 (cos (/ -1 x))) into 0 7.352 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.353 * [backup-simplify]: Simplify (- 0) into 0 7.353 * [backup-simplify]: Simplify (+ 0 0) into 0 7.353 * [backup-simplify]: Simplify 0 into 0 7.354 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ -1 x)))) into (cos (/ -1 x)) 7.355 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.355 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.356 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) (- 1.0)) into (- (cos (/ -1 x)) 1.0) 7.356 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 7.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ -1 x))))) into 0 7.358 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.358 * [backup-simplify]: Simplify (- 0) into 0 7.359 * [backup-simplify]: Simplify (+ 0 0) into 0 7.359 * [backup-simplify]: Simplify 0 into 0 7.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 7.361 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.361 * [backup-simplify]: Simplify (- 0) into 0 7.362 * [backup-simplify]: Simplify (+ 0 0) into 0 7.362 * [backup-simplify]: Simplify 0 into 0 7.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 7.364 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.365 * [backup-simplify]: Simplify (- 0) into 0 7.365 * [backup-simplify]: Simplify (+ 0 0) into 0 7.365 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 7.368 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.369 * [backup-simplify]: Simplify (- 0) into 0 7.369 * [backup-simplify]: Simplify (+ 0 0) into 0 7.369 * [backup-simplify]: Simplify 0 into 0 7.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 7.373 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.373 * [backup-simplify]: Simplify (- 0) into 0 7.374 * [backup-simplify]: Simplify (+ 0 0) into 0 7.374 * [backup-simplify]: Simplify 0 into 0 7.376 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))))) into 0 7.378 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.378 * [backup-simplify]: Simplify (- 0) into 0 7.379 * [backup-simplify]: Simplify (+ 0 0) into 0 7.379 * [backup-simplify]: Simplify 0 into 0 7.379 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 7.379 * * * * [progress]: [ 2 / 3 ] generating series at (2) 7.379 * [backup-simplify]: Simplify (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) into (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) 7.379 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in (x) around 0 7.379 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 7.379 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 7.380 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 7.380 * [taylor]: Taking taylor expansion of 1.0 in x 7.380 * [backup-simplify]: Simplify 1.0 into 1.0 7.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.380 * [taylor]: Taking taylor expansion of x in x 7.380 * [backup-simplify]: Simplify 0 into 0 7.380 * [backup-simplify]: Simplify 1 into 1 7.380 * [backup-simplify]: Simplify (/ 1 1) into 1 7.380 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 7.380 * [taylor]: Taking taylor expansion of (cos x) in x 7.380 * [taylor]: Taking taylor expansion of x in x 7.380 * [backup-simplify]: Simplify 0 into 0 7.380 * [backup-simplify]: Simplify 1 into 1 7.380 * [taylor]: Taking taylor expansion of x in x 7.380 * [backup-simplify]: Simplify 0 into 0 7.380 * [backup-simplify]: Simplify 1 into 1 7.381 * [backup-simplify]: Simplify (/ 1 1) into 1 7.381 * [taylor]: Taking taylor expansion of x in x 7.381 * [backup-simplify]: Simplify 0 into 0 7.381 * [backup-simplify]: Simplify 1 into 1 7.381 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.381 * [backup-simplify]: Simplify (- 1) into -1 7.382 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 7.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.383 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 7.384 * [backup-simplify]: Simplify (+ 0) into 0 7.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 7.385 * [backup-simplify]: Simplify (- 0) into 0 7.385 * [backup-simplify]: Simplify (+ 0 0) into 0 7.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.387 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 7.388 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 7.389 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 7.390 * [backup-simplify]: Simplify (- -1/2) into 1/2 7.390 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.390 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.391 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 7.391 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 7.391 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 7.391 * [taylor]: Taking taylor expansion of 1.0 in x 7.391 * [backup-simplify]: Simplify 1.0 into 1.0 7.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.391 * [taylor]: Taking taylor expansion of x in x 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [backup-simplify]: Simplify (/ 1 1) into 1 7.391 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 7.391 * [taylor]: Taking taylor expansion of (cos x) in x 7.391 * [taylor]: Taking taylor expansion of x in x 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [taylor]: Taking taylor expansion of x in x 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.392 * [backup-simplify]: Simplify (/ 1 1) into 1 7.392 * [taylor]: Taking taylor expansion of x in x 7.392 * [backup-simplify]: Simplify 0 into 0 7.392 * [backup-simplify]: Simplify 1 into 1 7.392 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.393 * [backup-simplify]: Simplify (- 1) into -1 7.393 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 7.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.394 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 7.395 * [backup-simplify]: Simplify (+ 0) into 0 7.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 7.396 * [backup-simplify]: Simplify (- 0) into 0 7.396 * [backup-simplify]: Simplify (+ 0 0) into 0 7.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.398 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 7.399 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 7.400 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 7.400 * [backup-simplify]: Simplify (- -1/2) into 1/2 7.401 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.402 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.402 * [backup-simplify]: Simplify 1/2 into 1/2 7.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.404 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.405 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 7.406 * [backup-simplify]: Simplify (- 0) into 0 7.407 * [backup-simplify]: Simplify (+ 0 0) into 0 7.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.408 * [backup-simplify]: Simplify 0 into 0 7.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.410 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.413 * [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 7.414 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 7.414 * [backup-simplify]: Simplify (- 1/24) into -1/24 7.415 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 7.416 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 7.416 * [backup-simplify]: Simplify -1/24 into -1/24 7.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.418 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.421 * [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 7.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 7.423 * [backup-simplify]: Simplify (- 0) into 0 7.423 * [backup-simplify]: Simplify (+ 0 0) into 0 7.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 7.424 * [backup-simplify]: Simplify 0 into 0 7.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.427 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.432 * [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 7.433 * [backup-simplify]: Simplify (- (/ -1/720 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into -1/720 7.434 * [backup-simplify]: Simplify (- -1/720) into 1/720 7.434 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 7.436 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 7.436 * [backup-simplify]: Simplify 1/720 into 1/720 7.436 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 7.436 * [backup-simplify]: Simplify (* (/ 1 (/ 1 x)) (- (/ 1.0 (/ 1 x)) (/ (cos (/ 1 x)) (/ 1 x)))) into (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) 7.436 * [approximate]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in (x) around 0 7.436 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 7.437 * [taylor]: Taking taylor expansion of x in x 7.437 * [backup-simplify]: Simplify 0 into 0 7.437 * [backup-simplify]: Simplify 1 into 1 7.437 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 7.437 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 7.437 * [taylor]: Taking taylor expansion of 1.0 in x 7.437 * [backup-simplify]: Simplify 1.0 into 1.0 7.437 * [taylor]: Taking taylor expansion of x in x 7.437 * [backup-simplify]: Simplify 0 into 0 7.437 * [backup-simplify]: Simplify 1 into 1 7.437 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 7.437 * [taylor]: Taking taylor expansion of x in x 7.437 * [backup-simplify]: Simplify 0 into 0 7.437 * [backup-simplify]: Simplify 1 into 1 7.437 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 7.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.437 * [taylor]: Taking taylor expansion of x in x 7.437 * [backup-simplify]: Simplify 0 into 0 7.437 * [backup-simplify]: Simplify 1 into 1 7.437 * [backup-simplify]: Simplify (/ 1 1) into 1 7.437 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 7.437 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 7.437 * [taylor]: Taking taylor expansion of x in x 7.438 * [backup-simplify]: Simplify 0 into 0 7.438 * [backup-simplify]: Simplify 1 into 1 7.438 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 7.438 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 7.438 * [taylor]: Taking taylor expansion of 1.0 in x 7.438 * [backup-simplify]: Simplify 1.0 into 1.0 7.438 * [taylor]: Taking taylor expansion of x in x 7.438 * [backup-simplify]: Simplify 0 into 0 7.438 * [backup-simplify]: Simplify 1 into 1 7.438 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 7.438 * [taylor]: Taking taylor expansion of x in x 7.438 * [backup-simplify]: Simplify 0 into 0 7.438 * [backup-simplify]: Simplify 1 into 1 7.438 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 7.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.438 * [taylor]: Taking taylor expansion of x in x 7.438 * [backup-simplify]: Simplify 0 into 0 7.438 * [backup-simplify]: Simplify 1 into 1 7.438 * [backup-simplify]: Simplify (/ 1 1) into 1 7.438 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 7.439 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.439 * [backup-simplify]: Simplify (* 0 (cos (/ 1 x))) into 0 7.439 * [backup-simplify]: Simplify (- 0) into 0 7.440 * [backup-simplify]: Simplify (+ 0 0) into 0 7.440 * [backup-simplify]: Simplify (* 0 0) into 0 7.440 * [backup-simplify]: Simplify 0 into 0 7.441 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.442 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1 x)))) into (cos (/ 1 x)) 7.442 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 7.442 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 7.443 * [backup-simplify]: Simplify (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 1 0)) into 0 7.443 * [backup-simplify]: Simplify 0 into 0 7.444 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.444 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1 x))))) into 0 7.445 * [backup-simplify]: Simplify (- 0) into 0 7.449 * [backup-simplify]: Simplify (+ 0 0) into 0 7.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 1.0 (cos (/ 1 x)))) (* 0 0))) into (- 1.0 (cos (/ 1 x))) 7.451 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 7.452 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.453 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 7.453 * [backup-simplify]: Simplify (- 0) into 0 7.454 * [backup-simplify]: Simplify (+ 0 0) into 0 7.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0)))) into 0 7.455 * [backup-simplify]: Simplify 0 into 0 7.456 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 7.458 * [backup-simplify]: Simplify (- 0) into 0 7.458 * [backup-simplify]: Simplify (+ 0 0) into 0 7.460 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0))))) into 0 7.460 * [backup-simplify]: Simplify 0 into 0 7.462 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.463 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 7.464 * [backup-simplify]: Simplify (- 0) into 0 7.464 * [backup-simplify]: Simplify (+ 0 0) into 0 7.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0)))))) into 0 7.466 * [backup-simplify]: Simplify 0 into 0 7.468 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.470 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 7.470 * [backup-simplify]: Simplify (- 0) into 0 7.470 * [backup-simplify]: Simplify (+ 0 0) into 0 7.473 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0))))))) into 0 7.473 * [backup-simplify]: Simplify 0 into 0 7.474 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.477 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))))) into 0 7.477 * [backup-simplify]: Simplify (- 0) into 0 7.478 * [backup-simplify]: Simplify (+ 0 0) into 0 7.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0)))))))) into 0 7.480 * [backup-simplify]: Simplify 0 into 0 7.482 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 7.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))))) into 0 7.485 * [backup-simplify]: Simplify (- 0) into 0 7.486 * [backup-simplify]: Simplify (+ 0 0) into 0 7.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0))))))))) into 0 7.489 * [backup-simplify]: Simplify 0 into 0 7.489 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 7.489 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- x))) (- (/ 1.0 (/ 1 (- x))) (/ (cos (/ 1 (- x))) (/ 1 (- x))))) into (* -1 (* x (- (* x (cos (/ -1 x))) (* 1.0 x)))) 7.489 * [approximate]: Taking taylor expansion of (* -1 (* x (- (* x (cos (/ -1 x))) (* 1.0 x)))) in (x) around 0 7.489 * [taylor]: Taking taylor expansion of (* -1 (* x (- (* x (cos (/ -1 x))) (* 1.0 x)))) in x 7.489 * [taylor]: Taking taylor expansion of -1 in x 7.489 * [backup-simplify]: Simplify -1 into -1 7.489 * [taylor]: Taking taylor expansion of (* x (- (* x (cos (/ -1 x))) (* 1.0 x))) in x 7.489 * [taylor]: Taking taylor expansion of x in x 7.489 * [backup-simplify]: Simplify 0 into 0 7.489 * [backup-simplify]: Simplify 1 into 1 7.490 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 7.490 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 7.490 * [taylor]: Taking taylor expansion of x in x 7.490 * [backup-simplify]: Simplify 0 into 0 7.490 * [backup-simplify]: Simplify 1 into 1 7.490 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.490 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.490 * [taylor]: Taking taylor expansion of -1 in x 7.490 * [backup-simplify]: Simplify -1 into -1 7.490 * [taylor]: Taking taylor expansion of x in x 7.490 * [backup-simplify]: Simplify 0 into 0 7.490 * [backup-simplify]: Simplify 1 into 1 7.490 * [backup-simplify]: Simplify (/ -1 1) into -1 7.490 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 7.490 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 7.490 * [taylor]: Taking taylor expansion of 1.0 in x 7.490 * [backup-simplify]: Simplify 1.0 into 1.0 7.490 * [taylor]: Taking taylor expansion of x in x 7.491 * [backup-simplify]: Simplify 0 into 0 7.491 * [backup-simplify]: Simplify 1 into 1 7.491 * [taylor]: Taking taylor expansion of (* -1 (* x (- (* x (cos (/ -1 x))) (* 1.0 x)))) in x 7.491 * [taylor]: Taking taylor expansion of -1 in x 7.491 * [backup-simplify]: Simplify -1 into -1 7.491 * [taylor]: Taking taylor expansion of (* x (- (* x (cos (/ -1 x))) (* 1.0 x))) in x 7.491 * [taylor]: Taking taylor expansion of x in x 7.491 * [backup-simplify]: Simplify 0 into 0 7.491 * [backup-simplify]: Simplify 1 into 1 7.491 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 7.491 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 7.491 * [taylor]: Taking taylor expansion of x in x 7.491 * [backup-simplify]: Simplify 0 into 0 7.491 * [backup-simplify]: Simplify 1 into 1 7.491 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.491 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.491 * [taylor]: Taking taylor expansion of -1 in x 7.491 * [backup-simplify]: Simplify -1 into -1 7.491 * [taylor]: Taking taylor expansion of x in x 7.491 * [backup-simplify]: Simplify 0 into 0 7.491 * [backup-simplify]: Simplify 1 into 1 7.491 * [backup-simplify]: Simplify (/ -1 1) into -1 7.491 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 7.492 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 7.492 * [taylor]: Taking taylor expansion of 1.0 in x 7.492 * [backup-simplify]: Simplify 1.0 into 1.0 7.492 * [taylor]: Taking taylor expansion of x in x 7.492 * [backup-simplify]: Simplify 0 into 0 7.492 * [backup-simplify]: Simplify 1 into 1 7.492 * [backup-simplify]: Simplify (* 0 (cos (/ -1 x))) into 0 7.492 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.493 * [backup-simplify]: Simplify (- 0) into 0 7.493 * [backup-simplify]: Simplify (+ 0 0) into 0 7.493 * [backup-simplify]: Simplify (* 0 0) into 0 7.494 * [backup-simplify]: Simplify (* -1 0) into 0 7.494 * [backup-simplify]: Simplify 0 into 0 7.494 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ -1 x)))) into (cos (/ -1 x)) 7.496 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.496 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.496 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) (- 1.0)) into (- (cos (/ -1 x)) 1.0) 7.497 * [backup-simplify]: Simplify (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 1 0)) into 0 7.497 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 7.497 * [backup-simplify]: Simplify 0 into 0 7.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ -1 x))))) into 0 7.499 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.500 * [backup-simplify]: Simplify (- 0) into 0 7.500 * [backup-simplify]: Simplify (+ 0 0) into 0 7.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- (cos (/ -1 x)) 1.0)) (* 0 0))) into (- (cos (/ -1 x)) 1.0) 7.501 * [backup-simplify]: Simplify (+ (* -1 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0))) into (- 1.0 (cos (/ -1 x))) 7.501 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 7.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 7.504 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.504 * [backup-simplify]: Simplify (- 0) into 0 7.504 * [backup-simplify]: Simplify (+ 0 0) into 0 7.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0)))) into 0 7.507 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0)))) into 0 7.507 * [backup-simplify]: Simplify 0 into 0 7.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 7.509 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.510 * [backup-simplify]: Simplify (- 0) into 0 7.510 * [backup-simplify]: Simplify (+ 0 0) into 0 7.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0))))) into 0 7.513 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0))))) into 0 7.513 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 7.516 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.517 * [backup-simplify]: Simplify (- 0) into 0 7.517 * [backup-simplify]: Simplify (+ 0 0) into 0 7.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0)))))) into 0 7.520 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0)))))) into 0 7.520 * [backup-simplify]: Simplify 0 into 0 7.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 7.525 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.525 * [backup-simplify]: Simplify (- 0) into 0 7.525 * [backup-simplify]: Simplify (+ 0 0) into 0 7.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0))))))) into 0 7.530 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0))))))) into 0 7.530 * [backup-simplify]: Simplify 0 into 0 7.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))))) into 0 7.534 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.535 * [backup-simplify]: Simplify (- 0) into 0 7.535 * [backup-simplify]: Simplify (+ 0 0) into 0 7.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0)))))))) into 0 7.540 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0)))))))) into 0 7.540 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))))) into 0 7.545 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 7.546 * [backup-simplify]: Simplify (- 0) into 0 7.546 * [backup-simplify]: Simplify (+ 0 0) into 0 7.549 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0))))))))) into 0 7.552 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0))))))))) into 0 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 7.552 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 7.553 * [backup-simplify]: Simplify (/ (cos x) x) into (/ (cos x) x) 7.553 * [approximate]: Taking taylor expansion of (/ (cos x) x) in (x) around 0 7.553 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 7.553 * [taylor]: Taking taylor expansion of (cos x) in x 7.553 * [taylor]: Taking taylor expansion of x in x 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 1 into 1 7.553 * [taylor]: Taking taylor expansion of x in x 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 1 into 1 7.553 * [backup-simplify]: Simplify (/ 1 1) into 1 7.553 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 7.553 * [taylor]: Taking taylor expansion of (cos x) in x 7.553 * [taylor]: Taking taylor expansion of x in x 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 1 into 1 7.553 * [taylor]: Taking taylor expansion of x in x 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 1 into 1 7.554 * [backup-simplify]: Simplify (/ 1 1) into 1 7.554 * [backup-simplify]: Simplify 1 into 1 7.554 * [backup-simplify]: Simplify (+ 0) into 0 7.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 7.555 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 7.557 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 7.557 * [backup-simplify]: Simplify -1/2 into -1/2 7.559 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 7.560 * [backup-simplify]: Simplify 0 into 0 7.562 * [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 7.563 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 7.563 * [backup-simplify]: Simplify 1/24 into 1/24 7.563 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 3)) (+ (* -1/2 x) (* 1 (/ 1 x)))) into (- (+ (* 1/24 (pow x 3)) (/ 1 x)) (* 1/2 x)) 7.563 * [backup-simplify]: Simplify (/ (cos (/ 1 x)) (/ 1 x)) into (* x (cos (/ 1 x))) 7.563 * [approximate]: Taking taylor expansion of (* x (cos (/ 1 x))) in (x) around 0 7.563 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 7.563 * [taylor]: Taking taylor expansion of x in x 7.563 * [backup-simplify]: Simplify 0 into 0 7.563 * [backup-simplify]: Simplify 1 into 1 7.563 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 7.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.563 * [taylor]: Taking taylor expansion of x in x 7.563 * [backup-simplify]: Simplify 0 into 0 7.563 * [backup-simplify]: Simplify 1 into 1 7.563 * [backup-simplify]: Simplify (/ 1 1) into 1 7.563 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 7.563 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 7.564 * [taylor]: Taking taylor expansion of x in x 7.564 * [backup-simplify]: Simplify 0 into 0 7.564 * [backup-simplify]: Simplify 1 into 1 7.564 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 7.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.564 * [taylor]: Taking taylor expansion of x in x 7.564 * [backup-simplify]: Simplify 0 into 0 7.564 * [backup-simplify]: Simplify 1 into 1 7.564 * [backup-simplify]: Simplify (/ 1 1) into 1 7.564 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 7.564 * [backup-simplify]: Simplify (* 0 (cos (/ 1 x))) into 0 7.564 * [backup-simplify]: Simplify 0 into 0 7.564 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1 x)))) into (cos (/ 1 x)) 7.564 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 7.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1 x))))) into 0 7.565 * [backup-simplify]: Simplify 0 into 0 7.566 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 7.566 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 7.567 * [backup-simplify]: Simplify 0 into 0 7.568 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 7.568 * [backup-simplify]: Simplify 0 into 0 7.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 7.569 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))))) into 0 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify (* (cos (/ 1 (/ 1 x))) (/ 1 x)) into (/ (cos x) x) 7.571 * [backup-simplify]: Simplify (/ (cos (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (cos (/ -1 x)))) 7.571 * [approximate]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in (x) around 0 7.571 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 7.571 * [taylor]: Taking taylor expansion of -1 in x 7.571 * [backup-simplify]: Simplify -1 into -1 7.571 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 7.571 * [taylor]: Taking taylor expansion of x in x 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify 1 into 1 7.571 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.571 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.571 * [taylor]: Taking taylor expansion of -1 in x 7.571 * [backup-simplify]: Simplify -1 into -1 7.571 * [taylor]: Taking taylor expansion of x in x 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify 1 into 1 7.572 * [backup-simplify]: Simplify (/ -1 1) into -1 7.572 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 7.572 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 7.572 * [taylor]: Taking taylor expansion of -1 in x 7.572 * [backup-simplify]: Simplify -1 into -1 7.572 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 7.572 * [taylor]: Taking taylor expansion of x in x 7.572 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify 1 into 1 7.572 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.572 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.572 * [taylor]: Taking taylor expansion of -1 in x 7.572 * [backup-simplify]: Simplify -1 into -1 7.572 * [taylor]: Taking taylor expansion of x in x 7.572 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify 1 into 1 7.572 * [backup-simplify]: Simplify (/ -1 1) into -1 7.572 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 7.572 * [backup-simplify]: Simplify (* 0 (cos (/ -1 x))) into 0 7.576 * [backup-simplify]: Simplify (* -1 0) into 0 7.576 * [backup-simplify]: Simplify 0 into 0 7.576 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ -1 x)))) into (cos (/ -1 x)) 7.576 * [backup-simplify]: Simplify (+ (* -1 (cos (/ -1 x))) (* 0 0)) into (- (cos (/ -1 x))) 7.577 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 7.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ -1 x))))) into 0 7.578 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (cos (/ -1 x))) (* 0 0))) into 0 7.578 * [backup-simplify]: Simplify 0 into 0 7.578 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 7.579 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (cos (/ -1 x))) (* 0 0)))) into 0 7.579 * [backup-simplify]: Simplify 0 into 0 7.580 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 7.582 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (cos (/ -1 x))) (* 0 0))))) into 0 7.582 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 7.586 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (cos (/ -1 x))) (* 0 0)))))) into 0 7.587 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 7.591 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (cos (/ -1 x))) (* 0 0))))))) into 0 7.591 * [backup-simplify]: Simplify 0 into 0 7.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))))) into 0 7.597 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (cos (/ -1 x))) (* 0 0)))))))) into 0 7.597 * [backup-simplify]: Simplify 0 into 0 7.597 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (cos x) x) 7.597 * * * [progress]: simplifying candidates 7.600 * [simplify]: Simplifying: (/ (exp (/ 1.0 x)) (exp (/ (cos x) x))) (log (- (/ 1.0 x) (/ (cos x) x))) (exp (- (/ 1.0 x) (/ (cos x) x))) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (cbrt (- (/ 1.0 x) (/ (cos x) x))) (* (* (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x))) (- (/ 1.0 x) (/ (cos x) x))) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (- 1.0 (cos x)) (- (* 1.0 x) (* x (cos x))) (* x x) (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* (/ (cos x) x) (/ (cos x) x)) (* (/ 1.0 x) (/ (cos x) x)))) (- (/ (cos x) x)) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (/ (cos x) x))) (+ (/ 1.0 x) (/ (cos x) x)) (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ 1.0 (cbrt x)) (/ (cos x) (cbrt x))) (- (/ 1.0 (sqrt x)) (/ (cos x) (sqrt x))) (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x)) (- 1.0 (cos x)) (- (/ (cos x) x)) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) (+ (- (log x)) (log (- (/ 1.0 x) (/ (cos x) x)))) (+ (- 0 (log x)) (log (- (/ 1.0 x) (/ (cos x) x)))) (+ (- (log 1) (log x)) (log (- (/ 1.0 x) (/ (cos x) x)))) (+ (log (/ 1 x)) (log (- (/ 1.0 x) (/ (cos x) x)))) (log (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (exp (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x))) (- (/ 1.0 x) (/ (cos x) x)))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x))) (- (/ 1.0 x) (/ (cos x) x)))) (* (cbrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (cbrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))))) (cbrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (* (* (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (sqrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (sqrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (* 1 (- 1.0 (cos x))) (* x x) (* 1 (- (* 1.0 x) (* x (cos x)))) (* x (* x x)) (* 1 (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3))) (* x (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* (/ (cos x) x) (/ (cos x) x)) (* (/ 1.0 x) (/ (cos x) x))))) (* 1 (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (/ (cos x) x)))) (* x (+ (/ 1.0 x) (/ (cos x) x))) (* (sqrt (/ 1 x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (sqrt (/ 1 x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ (sqrt 1) (sqrt x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ (sqrt 1) (sqrt x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ 1 (sqrt x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ 1 (sqrt x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ 1 x) (/ 1.0 x)) (* (/ 1 x) (- (/ (cos x) x))) (* (/ 1 x) (/ 1.0 x)) (* (/ 1 x) (- (/ (cos x) x))) (* (/ 1.0 x) (/ 1 x)) (* (- (/ (cos x) x)) (/ 1 x)) (* (/ 1.0 x) (/ 1 x)) (* (- (/ (cos x) x)) (/ 1 x)) (* (/ 1 x) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x))))) (* (/ 1 x) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ 1 x) 1) (* (/ 1 x) (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x)))) (* (/ 1 x) (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x)))) (* (/ 1 x) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x)))) (* (/ 1 x) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)))) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) 1) (* (/ 1 x) (/ 1 x)) (* (cbrt (/ 1 x)) (- (/ 1.0 x) (/ (cos x) x))) (* (sqrt (/ 1 x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (cbrt 1) (cbrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (cbrt 1) (sqrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (cbrt 1) x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (sqrt 1) (cbrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (sqrt 1) (sqrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (sqrt 1) x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 (cbrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 (sqrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 x) (- 1.0 (cos x))) (* (/ 1 x) (- (* 1.0 x) (* x (cos x)))) (* (/ 1 x) (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3))) (* (/ 1 x) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (/ (cos x) x)))) (* 1 (- (/ 1.0 x) (/ (cos x) x))) (- (log (cos x)) (log x)) (log (/ (cos x) x)) (exp (/ (cos x) x)) (/ (* (* (cos x) (cos x)) (cos x)) (* (* x x) x)) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))) (cbrt (/ (cos x) x)) (* (* (/ (cos x) x) (/ (cos x) x)) (/ (cos x) x)) (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x)) (- (cos x)) (- x) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))) (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)) (/ (cbrt (cos x)) (sqrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1) (/ (cbrt (cos x)) x) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))) (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) 1) (/ (sqrt (cos x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (cos x) (cbrt x)) (/ 1 (sqrt x)) (/ (cos x) (sqrt x)) (/ 1 1) (/ (cos x) x) (/ 1 x) (/ x (cos x)) (/ (cos x) (* (cbrt x) (cbrt x))) (/ (cos x) (sqrt x)) (/ (cos x) 1) (/ x (cbrt (cos x))) (/ x (sqrt (cos x))) (/ x (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)) (- (+ (* 1/24 (pow x 3)) (/ 1 x)) (* 1/2 x)) (/ (cos x) x) (/ (cos x) x) 7.602 * * [simplify]: iteration 0: 193 enodes 7.651 * * [simplify]: iteration 1: 504 enodes 7.801 * * [simplify]: iteration 2: 1475 enodes 8.848 * * [simplify]: iteration 3: 4530 enodes 9.718 * * [simplify]: iteration complete: 5011 enodes 9.718 * * [simplify]: Extracting #0: cost 90 inf + 0 9.727 * * [simplify]: Extracting #1: cost 697 inf + 1 9.731 * * [simplify]: Extracting #2: cost 1236 inf + 5373 9.744 * * [simplify]: Extracting #3: cost 859 inf + 84252 9.784 * * [simplify]: Extracting #4: cost 140 inf + 250790 9.834 * * [simplify]: Extracting #5: cost 1 inf + 287730 9.885 * * [simplify]: Extracting #6: cost 0 inf + 287913 9.935 * [simplify]: Simplified to: (exp (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 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 (cos x))) (* x x) (- (* (* (/ 1.0 x) (/ 1.0 x)) (/ 1.0 x)) (* (/ (cos x) x) (* (/ (cos x) x) (/ (cos x) x)))) (+ (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (+ (/ 1.0 x) (/ (cos x) x)))) (- (/ (cos x) x)) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (/ (cos x) x))) (+ (/ (cos x) x) (/ 1.0 x)) (+ (sqrt (/ (cos x) x)) (sqrt (/ 1.0 x))) (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (+ (/ (sqrt (cos x)) (sqrt x)) (sqrt (/ 1.0 x))) (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (+ (sqrt (/ (cos x) x)) (/ (sqrt 1.0) (sqrt x))) (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ 1.0 (cbrt x)) (/ (cos x) (cbrt x))) (- (/ 1.0 (sqrt x)) (/ (cos x) (sqrt x))) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (- 1.0 (cos x)) (- (/ (cos x) x)) (/ (- 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))) (* (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) (* x (- 1.0 (cos x))) (* x (* x x)) (- (* (* (/ 1.0 x) (/ 1.0 x)) (/ 1.0 x)) (* (/ (cos x) x) (* (/ (cos x) x) (/ (cos x) x)))) (* x (+ (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (+ (/ 1.0 x) (/ (cos x) x))))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (/ (cos x) x))) (* x (+ (/ 1.0 x) (/ (cos 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)) (/ 1.0 (* x x)) (/ (- (cos x)) (* x x)) (/ 1.0 (* x x)) (/ (- (cos x)) (* x x)) (/ 1.0 (* x x)) (/ (- (cos x)) (* x x)) (/ 1.0 (* x x)) (/ (- (cos x)) (* x x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ 1 x) (/ (+ (sqrt (/ (cos x) x)) (sqrt (/ 1.0 x))) x) (/ (+ (/ (sqrt (cos x)) (sqrt x)) (sqrt (/ 1.0 x))) x) (/ (+ (sqrt (/ (cos x) x)) (/ (sqrt 1.0) (sqrt x))) x) (/ (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) x) (/ (/ (/ 1 (cbrt x)) x) (cbrt x)) (/ (/ 1 (sqrt x)) x) (/ 1 x) (/ 1 x) (* (/ 1 x) (/ 1 x)) (* (- 1.0 (cos x)) (* (/ 1 x) (cbrt (/ 1 x)))) (/ (* (- 1.0 (cos x)) (sqrt (/ 1 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) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (* 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)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) x) (* x (/ (- 1.0 (cos x)) x)) (/ (- (* (* (/ 1.0 x) (/ 1.0 x)) (/ 1.0 x)) (* (/ (cos x) x) (* (/ (cos x) x) (/ (cos x) x)))) x) (/ (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (/ (cos x) x))) x) (/ (- 1.0 (cos x)) x) (log (/ (cos x) x)) (log (/ (cos x) x)) (exp (/ (cos x) x)) (* (/ (cos x) x) (* (/ (cos x) x) (/ (cos x) x))) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))) (cbrt (/ (cos x) x)) (* (/ (cos x) x) (* (/ (cos x) x) (/ (cos x) x))) (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x)) (- (cos x)) (- x) (* (/ (cbrt (cos x)) (cbrt x)) (/ (cbrt (cos x)) (cbrt x))) (/ (cbrt (cos x)) (cbrt x)) (/ (cbrt (cos x)) (/ (sqrt x) (cbrt (cos x)))) (/ (cbrt (cos x)) (sqrt x)) (* (cbrt (cos x)) (cbrt (cos x))) (/ (cbrt (cos x)) x) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))) (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)) (sqrt (cos x)) (/ (sqrt (cos x)) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (cos x) (cbrt x)) (/ 1 (sqrt x)) (/ (cos x) (sqrt x)) 1 (/ (cos x) x) (/ 1 x) (/ x (cos x)) (/ (/ (cos x) (cbrt x)) (cbrt x)) (/ (cos x) (sqrt x)) (cos x) (/ x (cbrt (cos x))) (/ x (sqrt (cos x))) (/ x (cos x)) (+ (* x (- 1/2 (* (* x x) 1/24))) (* 1/720 (pow x 5))) (/ (- 1.0 (cos x)) x) (- (/ (- (cos x) 1.0) x)) (+ (* (* x x) -1/24) (+ (* (* 1/720 (* x x)) (* x x)) 1/2)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (+ (/ 1 x) (* x (- (* (* x x) 1/24) 1/2))) (/ (cos x) x) (/ (cos x) x) 9.941 * * * [progress]: adding candidates to table 10.317 * [progress]: [Phase 3 of 3] Extracting. 10.317 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 10.319 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 10.320 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # #) 10.390 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 10.475 * * * [regime]: Found split indices: #