16.650 * [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. 0.129 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.130 * * [simplify]: iteration 0: 6 enodes 0.132 * * [simplify]: iteration 1: 13 enodes 0.136 * * [simplify]: iteration 2: 21 enodes 0.142 * * [simplify]: iteration 3: 26 enodes 0.147 * * [simplify]: iteration 4: 28 enodes 0.152 * * [simplify]: iteration complete: 28 enodes 0.153 * * [simplify]: Extracting #0: cost 1 inf + 0 0.153 * * [simplify]: Extracting #1: cost 8 inf + 0 0.153 * * [simplify]: Extracting #2: cost 12 inf + 42 0.153 * * [simplify]: Extracting #3: cost 7 inf + 447 0.153 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.154 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.155 * * [progress]: iteration 1 / 4 0.155 * * * [progress]: picking best candidate 0.162 * * * * [pick]: Picked # 0.163 * * * [progress]: localizing error 0.182 * * * [progress]: generating rewritten candidates 0.182 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.219 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.233 * * * [progress]: generating series expansions 0.233 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.240 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.240 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.242 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.242 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [backup-simplify]: Simplify 1.0 into 1.0 0.242 * [taylor]: Taking taylor expansion of (cos x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (- 1) into -1 0.262 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.263 * [backup-simplify]: Simplify (+ 0) into 0 0.264 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.266 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.266 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.267 * [backup-simplify]: Simplify (* 1 1) into 1 0.267 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.267 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.267 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.267 * [taylor]: Taking taylor expansion of 1.0 in x 0.267 * [backup-simplify]: Simplify 1.0 into 1.0 0.267 * [taylor]: Taking taylor expansion of (cos x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (- 1) into -1 0.269 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.269 * [backup-simplify]: Simplify (+ 0) into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.273 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.273 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.274 * [backup-simplify]: Simplify (* 1 1) into 1 0.274 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.275 * [backup-simplify]: Simplify 1/2 into 1/2 0.276 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.282 * [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 0.282 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.283 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.285 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.285 * [backup-simplify]: Simplify -1/24 into -1/24 0.287 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.296 * [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 0.297 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.297 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.300 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.300 * [backup-simplify]: Simplify 1/720 into 1/720 0.302 * [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))) 0.302 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 0.302 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 0.302 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 0.302 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [backup-simplify]: Simplify 1.0 into 1.0 0.302 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [backup-simplify]: Simplify 1.0 into 1.0 0.303 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.304 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.305 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 0.305 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.323 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 0.323 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.324 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.324 * [taylor]: Taking taylor expansion of 1.0 in x 0.324 * [backup-simplify]: Simplify 1.0 into 1.0 0.324 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.324 * [taylor]: Taking taylor expansion of -1 in x 0.324 * [backup-simplify]: Simplify -1 into -1 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ -1 1) into -1 0.324 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.325 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [backup-simplify]: Simplify 1.0 into 1.0 0.325 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.325 * [taylor]: Taking taylor expansion of -1 in x 0.325 * [backup-simplify]: Simplify -1 into -1 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ -1 1) into -1 0.325 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.326 * [backup-simplify]: Simplify (* 1 1) into 1 0.326 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.326 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.326 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.326 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.349 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.349 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.349 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [backup-simplify]: Simplify 1.0 into 1.0 0.349 * [taylor]: Taking taylor expansion of (cos x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [backup-simplify]: Simplify 1.0 into 1.0 0.349 * [taylor]: Taking taylor expansion of (cos x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (- 1) into -1 0.351 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (+ 0) into 0 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.355 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.355 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.355 * [backup-simplify]: Simplify 1/2 into 1/2 0.356 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.360 * [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 0.361 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.361 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.361 * [backup-simplify]: Simplify -1/24 into -1/24 0.364 * [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 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.369 * [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 0.370 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.370 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.370 * [backup-simplify]: Simplify 1/720 into 1/720 0.371 * [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))) 0.371 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.371 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.371 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.371 * [taylor]: Taking taylor expansion of 1.0 in x 0.371 * [backup-simplify]: Simplify 1.0 into 1.0 0.371 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.372 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [backup-simplify]: Simplify 1.0 into 1.0 0.372 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.373 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.373 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.373 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (- 0) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.379 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.379 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.379 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [backup-simplify]: Simplify 1.0 into 1.0 0.379 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.379 * [taylor]: Taking taylor expansion of -1 in x 0.379 * [backup-simplify]: Simplify -1 into -1 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (/ -1 1) into -1 0.380 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.380 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.380 * [taylor]: Taking taylor expansion of 1.0 in x 0.380 * [backup-simplify]: Simplify 1.0 into 1.0 0.380 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [backup-simplify]: Simplify -1 into -1 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ -1 1) into -1 0.381 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.381 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.381 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.381 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (- 0) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (- 0) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (- 0) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.386 * * * [progress]: simplifying candidates 0.388 * [simplify]: Simplifying: (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (- (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))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 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)) 0.390 * * [simplify]: iteration 0: 116 enodes 0.437 * * [simplify]: iteration 1: 301 enodes 0.632 * * [simplify]: iteration 2: 1734 enodes 1.174 * * [simplify]: iteration complete: 5001 enodes 1.175 * * [simplify]: Extracting #0: cost 48 inf + 0 1.177 * * [simplify]: Extracting #1: cost 1132 inf + 0 1.185 * * [simplify]: Extracting #2: cost 1805 inf + 34525 1.240 * * [simplify]: Extracting #3: cost 748 inf + 253405 1.313 * * [simplify]: Extracting #4: cost 15 inf + 401496 1.373 * * [simplify]: Extracting #5: cost 0 inf + 404700 1.446 * [simplify]: Simplified to: (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 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) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (/ (cbrt (- 1.0 (cos x))) (/ x (cbrt (- 1.0 (cos 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 (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x) (* (/ x (cbrt (- 1.0 (cos x)))) x) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ x (/ (- 1.0 (cos x)) x)) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ x (/ (- 1.0 (cos x)) x)) (* (* x x) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (* (* x x) (+ 1.0 (cos x))) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))) (cos x)) (* (cos x) 0) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))) (cos x)) (* (cos x) 0) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))) (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x)))) (fma (cos x) (+ 1.0 (cos x)) (* 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)) (fma (* x x) -1/24 (fma 1/720 (* (* x x) (* x x)) 1/2)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (fma 1/2 (* x x) (fma (* (* (* x x) (* x x)) (* x x)) 1/720 (* (* (* x x) (* x x)) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) 1.452 * * * [progress]: adding candidates to table 1.689 * * [progress]: iteration 2 / 4 1.689 * * * [progress]: picking best candidate 1.723 * * * * [pick]: Picked # 1.723 * * * [progress]: localizing error 1.751 * * * [progress]: generating rewritten candidates 1.751 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 1.758 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.773 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.845 * * * [progress]: generating series expansions 1.845 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 1.845 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.845 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.846 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.846 * [taylor]: Taking taylor expansion of 1.0 in x 1.846 * [backup-simplify]: Simplify 1.0 into 1.0 1.846 * [taylor]: Taking taylor expansion of (cos x) in x 1.846 * [taylor]: Taking taylor expansion of x in x 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 1 into 1 1.846 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.846 * [taylor]: Taking taylor expansion of 1.0 in x 1.846 * [backup-simplify]: Simplify 1.0 into 1.0 1.846 * [taylor]: Taking taylor expansion of (cos x) in x 1.846 * [taylor]: Taking taylor expansion of x in x 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 1 into 1 1.847 * [backup-simplify]: Simplify (- 1) into -1 1.847 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.847 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify (+ 0) into 0 1.848 * [backup-simplify]: Simplify (- 0) into 0 1.849 * [backup-simplify]: Simplify (+ 0 0) into 0 1.849 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.851 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.851 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.851 * [backup-simplify]: Simplify 1/2 into 1/2 1.852 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.853 * [backup-simplify]: Simplify (- 0) into 0 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.856 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.857 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.857 * [backup-simplify]: Simplify -1/24 into -1/24 1.859 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.859 * [backup-simplify]: Simplify (- 0) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 1.866 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.866 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.866 * [backup-simplify]: Simplify 1/720 into 1/720 1.867 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 1.867 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.867 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.867 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.867 * [taylor]: Taking taylor expansion of 1.0 in x 1.867 * [backup-simplify]: Simplify 1.0 into 1.0 1.867 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.867 * [taylor]: Taking taylor expansion of x in x 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.868 * [backup-simplify]: Simplify (/ 1 1) into 1 1.868 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.868 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.868 * [taylor]: Taking taylor expansion of 1.0 in x 1.868 * [backup-simplify]: Simplify 1.0 into 1.0 1.868 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.868 * [taylor]: Taking taylor expansion of x in x 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 1 into 1 1.869 * [backup-simplify]: Simplify (/ 1 1) into 1 1.869 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.869 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.869 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.869 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.869 * [backup-simplify]: Simplify (- 0) into 0 1.870 * [backup-simplify]: Simplify (+ 0 0) into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify (- 0) into 0 1.871 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify (- 0) into 0 1.871 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify (- 0) into 0 1.872 * [backup-simplify]: Simplify (+ 0 0) into 0 1.872 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify (- 0) into 0 1.873 * [backup-simplify]: Simplify (+ 0 0) into 0 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify (- 0) into 0 1.874 * [backup-simplify]: Simplify (+ 0 0) into 0 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.874 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.874 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.874 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.874 * [taylor]: Taking taylor expansion of 1.0 in x 1.874 * [backup-simplify]: Simplify 1.0 into 1.0 1.874 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.874 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.874 * [taylor]: Taking taylor expansion of -1 in x 1.874 * [backup-simplify]: Simplify -1 into -1 1.874 * [taylor]: Taking taylor expansion of x in x 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.875 * [backup-simplify]: Simplify (/ -1 1) into -1 1.875 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.875 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.875 * [taylor]: Taking taylor expansion of 1.0 in x 1.875 * [backup-simplify]: Simplify 1.0 into 1.0 1.875 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.875 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.875 * [taylor]: Taking taylor expansion of -1 in x 1.875 * [backup-simplify]: Simplify -1 into -1 1.875 * [taylor]: Taking taylor expansion of x in x 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.876 * [backup-simplify]: Simplify (/ -1 1) into -1 1.876 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.876 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.876 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.876 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.877 * [backup-simplify]: Simplify (- 0) into 0 1.877 * [backup-simplify]: Simplify (+ 0 0) into 0 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify (- 0) into 0 1.878 * [backup-simplify]: Simplify (+ 0 0) into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify (- 0) into 0 1.879 * [backup-simplify]: Simplify (+ 0 0) into 0 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify (- 0) into 0 1.879 * [backup-simplify]: Simplify (+ 0 0) into 0 1.879 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify (- 0) into 0 1.880 * [backup-simplify]: Simplify (+ 0 0) into 0 1.880 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify (- 0) into 0 1.881 * [backup-simplify]: Simplify (+ 0 0) into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.881 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.881 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 1.881 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 1.881 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.881 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.882 * [taylor]: Taking taylor expansion of 1.0 in x 1.882 * [backup-simplify]: Simplify 1.0 into 1.0 1.882 * [taylor]: Taking taylor expansion of (cos x) in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.882 * [taylor]: Taking taylor expansion of x in x 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.882 * [backup-simplify]: Simplify (- 1) into -1 1.883 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.883 * [backup-simplify]: Simplify (+ 0) into 0 1.883 * [backup-simplify]: Simplify (- 0) into 0 1.884 * [backup-simplify]: Simplify (+ 0 0) into 0 1.885 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.885 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.886 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.886 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.886 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.886 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.886 * [taylor]: Taking taylor expansion of 1.0 in x 1.886 * [backup-simplify]: Simplify 1.0 into 1.0 1.886 * [taylor]: Taking taylor expansion of (cos x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [taylor]: Taking taylor expansion of x in x 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (- 1) into -1 1.887 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.887 * [backup-simplify]: Simplify (+ 0) into 0 1.888 * [backup-simplify]: Simplify (- 0) into 0 1.888 * [backup-simplify]: Simplify (+ 0 0) into 0 1.889 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.889 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.890 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.890 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.890 * [backup-simplify]: Simplify 1/2 into 1/2 1.892 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.892 * [backup-simplify]: Simplify (- 0) into 0 1.892 * [backup-simplify]: Simplify (+ 0 0) into 0 1.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.893 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.897 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.897 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.898 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 1.898 * [backup-simplify]: Simplify -1/24 into -1/24 1.901 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.901 * [backup-simplify]: Simplify (- 0) into 0 1.901 * [backup-simplify]: Simplify (+ 0 0) into 0 1.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 1.905 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.905 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.906 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 1.906 * [backup-simplify]: Simplify 1/720 into 1/720 1.907 * [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))) 1.907 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* (- 1.0 (cos (/ 1 x))) x) 1.907 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in (x) around 0 1.907 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 1.907 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.907 * [taylor]: Taking taylor expansion of 1.0 in x 1.907 * [backup-simplify]: Simplify 1.0 into 1.0 1.907 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.907 * [taylor]: Taking taylor expansion of x in x 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (/ 1 1) into 1 1.907 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.907 * [taylor]: Taking taylor expansion of x in x 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 1.907 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.907 * [taylor]: Taking taylor expansion of 1.0 in x 1.907 * [backup-simplify]: Simplify 1.0 into 1.0 1.907 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.907 * [taylor]: Taking taylor expansion of x in x 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.908 * [backup-simplify]: Simplify (/ 1 1) into 1 1.908 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.908 * [taylor]: Taking taylor expansion of x in x 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.908 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.908 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify (- 0) into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.909 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 1.909 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.910 * [backup-simplify]: Simplify (- 0) into 0 1.910 * [backup-simplify]: Simplify (+ 0 0) into 0 1.911 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify (- 0) into 0 1.912 * [backup-simplify]: Simplify (+ 0 0) into 0 1.912 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify (- 0) into 0 1.913 * [backup-simplify]: Simplify (+ 0 0) into 0 1.914 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify (- 0) into 0 1.915 * [backup-simplify]: Simplify (+ 0 0) into 0 1.916 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify (- 0) into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.917 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify (- 0) into 0 1.918 * [backup-simplify]: Simplify (+ 0 0) into 0 1.919 * [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 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 1.920 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* x (- 1.0 (cos (/ -1 x))))) 1.920 * [approximate]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in (x) around 0 1.920 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 1.920 * [taylor]: Taking taylor expansion of -1 in x 1.920 * [backup-simplify]: Simplify -1 into -1 1.920 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.920 * [taylor]: Taking taylor expansion of 1.0 in x 1.920 * [backup-simplify]: Simplify 1.0 into 1.0 1.920 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.920 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.920 * [taylor]: Taking taylor expansion of -1 in x 1.920 * [backup-simplify]: Simplify -1 into -1 1.920 * [taylor]: Taking taylor expansion of x in x 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (/ -1 1) into -1 1.921 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.921 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 1.921 * [taylor]: Taking taylor expansion of -1 in x 1.921 * [backup-simplify]: Simplify -1 into -1 1.921 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 1.921 * [taylor]: Taking taylor expansion of x in x 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.921 * [taylor]: Taking taylor expansion of 1.0 in x 1.921 * [backup-simplify]: Simplify 1.0 into 1.0 1.921 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.921 * [taylor]: Taking taylor expansion of -1 in x 1.921 * [backup-simplify]: Simplify -1 into -1 1.921 * [taylor]: Taking taylor expansion of x in x 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (/ -1 1) into -1 1.922 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.922 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.922 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.922 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 1.922 * [backup-simplify]: Simplify (* -1 0) into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify (- 0) into 0 1.923 * [backup-simplify]: Simplify (+ 0 0) into 0 1.923 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 1.924 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 1.924 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 1.924 * [backup-simplify]: Simplify (- 0) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.925 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 1.926 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify (- 0) into 0 1.927 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 1.930 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (- 0) into 0 1.931 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 1.934 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify (- 0) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 1.937 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify (- 0) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.939 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 1.940 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (- 0) into 0 1.941 * [backup-simplify]: Simplify (+ 0 0) into 0 1.942 * [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 1.944 * [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 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 1.944 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.944 * [backup-simplify]: Simplify (* (/ 1 x) (/ (- 1.0 (cos x)) x)) into (/ (- 1.0 (cos x)) (pow x 2)) 1.944 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 1.944 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.944 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.944 * [taylor]: Taking taylor expansion of 1.0 in x 1.944 * [backup-simplify]: Simplify 1.0 into 1.0 1.944 * [taylor]: Taking taylor expansion of (cos x) in x 1.944 * [taylor]: Taking taylor expansion of x in x 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.944 * [taylor]: Taking taylor expansion of x in x 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.945 * [backup-simplify]: Simplify (- 1) into -1 1.945 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.945 * [backup-simplify]: Simplify (+ 0) into 0 1.945 * [backup-simplify]: Simplify (- 0) into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.946 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.947 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.947 * [backup-simplify]: Simplify (* 1 1) into 1 1.947 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.947 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.947 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.947 * [taylor]: Taking taylor expansion of 1.0 in x 1.947 * [backup-simplify]: Simplify 1.0 into 1.0 1.947 * [taylor]: Taking taylor expansion of (cos x) in x 1.947 * [taylor]: Taking taylor expansion of x in x 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.947 * [taylor]: Taking taylor expansion of x in x 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (- 1) into -1 1.948 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.948 * [backup-simplify]: Simplify (+ 0) into 0 1.948 * [backup-simplify]: Simplify (- 0) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.949 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.950 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.950 * [backup-simplify]: Simplify (* 1 1) into 1 1.950 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.950 * [backup-simplify]: Simplify 1/2 into 1/2 1.951 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.955 * [backup-simplify]: Simplify (- 0) into 0 1.955 * [backup-simplify]: Simplify (+ 0 0) into 0 1.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.958 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.958 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.960 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 1.960 * [backup-simplify]: Simplify -1/24 into -1/24 1.961 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.961 * [backup-simplify]: Simplify (- 0) into 0 1.962 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 1.966 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.966 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.969 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 1.969 * [backup-simplify]: Simplify 1/720 into 1/720 1.969 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 1.969 * [backup-simplify]: Simplify (* (/ 1 (/ 1 x)) (/ (- 1.0 (cos (/ 1 x))) (/ 1 x))) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 1.969 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 1.969 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 1.969 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.969 * [taylor]: Taking taylor expansion of 1.0 in x 1.970 * [backup-simplify]: Simplify 1.0 into 1.0 1.970 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (/ 1 1) into 1 1.970 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 1.970 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.970 * [taylor]: Taking taylor expansion of 1.0 in x 1.970 * [backup-simplify]: Simplify 1.0 into 1.0 1.970 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (/ 1 1) into 1 1.970 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.971 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.971 * [backup-simplify]: Simplify (* 1 1) into 1 1.971 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 1.971 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.972 * [backup-simplify]: Simplify (- 0) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.973 * [backup-simplify]: Simplify (- 0) into 0 1.973 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (- 0) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.976 * [backup-simplify]: Simplify (- 0) into 0 1.977 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.978 * [backup-simplify]: Simplify (- 0) into 0 1.979 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.980 * [backup-simplify]: Simplify (- 0) into 0 1.981 * [backup-simplify]: Simplify (+ 0 0) into 0 1.981 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.981 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 1.982 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- x))) (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x)))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 1.982 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.982 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 1.982 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.982 * [taylor]: Taking taylor expansion of x in x 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.982 * [taylor]: Taking taylor expansion of 1.0 in x 1.982 * [backup-simplify]: Simplify 1.0 into 1.0 1.982 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.982 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.982 * [taylor]: Taking taylor expansion of -1 in x 1.982 * [backup-simplify]: Simplify -1 into -1 1.982 * [taylor]: Taking taylor expansion of x in x 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (/ -1 1) into -1 1.982 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.982 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 1.982 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.983 * [taylor]: Taking taylor expansion of x in x 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.983 * [taylor]: Taking taylor expansion of 1.0 in x 1.983 * [backup-simplify]: Simplify 1.0 into 1.0 1.983 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.983 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.983 * [taylor]: Taking taylor expansion of -1 in x 1.983 * [backup-simplify]: Simplify -1 into -1 1.983 * [taylor]: Taking taylor expansion of x in x 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (/ -1 1) into -1 1.983 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.983 * [backup-simplify]: Simplify (* 1 1) into 1 1.983 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.983 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.983 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.984 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.984 * [backup-simplify]: Simplify (- 0) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify (- 0) into 0 1.985 * [backup-simplify]: Simplify (+ 0 0) into 0 1.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (- 0) into 0 1.987 * [backup-simplify]: Simplify (+ 0 0) into 0 1.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify (- 0) into 0 1.989 * [backup-simplify]: Simplify (+ 0 0) into 0 1.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (- 0) into 0 1.991 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (- 0) into 0 1.994 * [backup-simplify]: Simplify (+ 0 0) into 0 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 1.996 * * * [progress]: simplifying candidates 1.998 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) x)) (log1p (/ (- 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))) (expm1 (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (log1p (* (/ 1 x) (/ (- 1.0 (cos x)) 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)) (- (+ (* 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)) 2.000 * * [simplify]: iteration 0: 219 enodes 2.052 * * [simplify]: iteration 1: 617 enodes 2.743 * * [simplify]: iteration 2: 3865 enodes 4.624 * * [simplify]: iteration complete: 5001 enodes 4.625 * * [simplify]: Extracting #0: cost 96 inf + 0 4.630 * * [simplify]: Extracting #1: cost 1250 inf + 1 4.641 * * [simplify]: Extracting #2: cost 1709 inf + 5309 4.653 * * [simplify]: Extracting #3: cost 1419 inf + 42774 4.676 * * [simplify]: Extracting #4: cost 882 inf + 138574 4.745 * * [simplify]: Extracting #5: cost 185 inf + 306756 5.269 * * [simplify]: Extracting #6: cost 5 inf + 356904 5.353 * * [simplify]: Extracting #7: cost 0 inf + 358417 5.453 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (* (cos x) 0) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (* (cos x) 0) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (- 1.0 (cos x)) (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x))) (fma (cos x) (+ (cos x) 1.0) (* 1.0 1.0)) (- (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)) (expm1 (/ (- 1.0 (cos x)) x)) (log1p (/ (- 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))) (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 (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))) (* (fma (cos x) (+ (cos x) 1.0) (* 1.0 1.0)) x) (* x (+ 1.0 (cos x))) (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* 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))) (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)) (* (- 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))) (/ (* (/ (- 1.0 (cos x)) x) (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x))) (* 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 (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos 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)) (/ (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))) (cbrt (- 1.0 (cos x)))) (sqrt x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (/ (/ 1 (cbrt x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) x) (/ 1 x) (/ (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (/ (/ 1 (cbrt x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) x) (/ 1 x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (* (- 1.0 (cos x)) (cbrt (/ 1 x))) x) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (* x x)) (/ (/ (- 1.0 (cos x)) x) (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) (fma (* x x) 1/2 (fma (* (* x x) (* (* x x) (* x x))) 1/720 (* (* (* x x) (* x x)) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (* x (* x x)) -1/24 (fma 1/720 (pow x 5) (* x 1/2))) (/ (- 1.0 (cos x)) x) (/ (- (- (cos x) 1.0)) x) (fma (* x x) -1/24 (fma (* x x) (* (* x x) 1/720) 1/2)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) 5.466 * * * [progress]: adding candidates to table 6.049 * * [progress]: iteration 3 / 4 6.049 * * * [progress]: picking best candidate 6.103 * * * * [pick]: Picked # 6.103 * * * [progress]: localizing error 6.120 * * * [progress]: generating rewritten candidates 6.120 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 6.126 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 6.140 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 6.171 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.257 * * * [progress]: generating series expansions 6.257 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 6.257 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 6.257 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.257 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.257 * [taylor]: Taking taylor expansion of 1.0 in x 6.257 * [backup-simplify]: Simplify 1.0 into 1.0 6.257 * [taylor]: Taking taylor expansion of (cos x) in x 6.257 * [taylor]: Taking taylor expansion of x in x 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 1 into 1 6.258 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.258 * [taylor]: Taking taylor expansion of 1.0 in x 6.258 * [backup-simplify]: Simplify 1.0 into 1.0 6.258 * [taylor]: Taking taylor expansion of (cos x) in x 6.258 * [taylor]: Taking taylor expansion of x in x 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify 1 into 1 6.258 * [backup-simplify]: Simplify (- 1) into -1 6.258 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.258 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify (+ 0) into 0 6.259 * [backup-simplify]: Simplify (- 0) into 0 6.259 * [backup-simplify]: Simplify (+ 0 0) into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.260 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.260 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.260 * [backup-simplify]: Simplify 1/2 into 1/2 6.261 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.261 * [backup-simplify]: Simplify (- 0) into 0 6.262 * [backup-simplify]: Simplify (+ 0 0) into 0 6.262 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 6.263 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.264 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.264 * [backup-simplify]: Simplify -1/24 into -1/24 6.265 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.265 * [backup-simplify]: Simplify (- 0) into 0 6.265 * [backup-simplify]: Simplify (+ 0 0) into 0 6.265 * [backup-simplify]: Simplify 0 into 0 6.268 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 6.268 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.269 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.269 * [backup-simplify]: Simplify 1/720 into 1/720 6.269 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 6.269 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.269 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.269 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.269 * [taylor]: Taking taylor expansion of 1.0 in x 6.269 * [backup-simplify]: Simplify 1.0 into 1.0 6.269 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.269 * [taylor]: Taking taylor expansion of x in x 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 1 into 1 6.270 * [backup-simplify]: Simplify (/ 1 1) into 1 6.270 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.270 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.270 * [taylor]: Taking taylor expansion of 1.0 in x 6.270 * [backup-simplify]: Simplify 1.0 into 1.0 6.270 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.270 * [taylor]: Taking taylor expansion of x in x 6.270 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify 1 into 1 6.270 * [backup-simplify]: Simplify (/ 1 1) into 1 6.270 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.270 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.270 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.270 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.270 * [backup-simplify]: Simplify (- 0) into 0 6.271 * [backup-simplify]: Simplify (+ 0 0) into 0 6.271 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify (- 0) into 0 6.271 * [backup-simplify]: Simplify (+ 0 0) into 0 6.271 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify (- 0) into 0 6.272 * [backup-simplify]: Simplify (+ 0 0) into 0 6.272 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify (- 0) into 0 6.272 * [backup-simplify]: Simplify (+ 0 0) into 0 6.272 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify (- 0) into 0 6.273 * [backup-simplify]: Simplify (+ 0 0) into 0 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify (- 0) into 0 6.273 * [backup-simplify]: Simplify (+ 0 0) into 0 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 6.273 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 6.273 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.273 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.273 * [taylor]: Taking taylor expansion of 1.0 in x 6.274 * [backup-simplify]: Simplify 1.0 into 1.0 6.274 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.274 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.274 * [taylor]: Taking taylor expansion of -1 in x 6.274 * [backup-simplify]: Simplify -1 into -1 6.274 * [taylor]: Taking taylor expansion of x in x 6.274 * [backup-simplify]: Simplify 0 into 0 6.274 * [backup-simplify]: Simplify 1 into 1 6.274 * [backup-simplify]: Simplify (/ -1 1) into -1 6.274 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.274 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.274 * [taylor]: Taking taylor expansion of 1.0 in x 6.274 * [backup-simplify]: Simplify 1.0 into 1.0 6.274 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.274 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.274 * [taylor]: Taking taylor expansion of -1 in x 6.274 * [backup-simplify]: Simplify -1 into -1 6.274 * [taylor]: Taking taylor expansion of x in x 6.274 * [backup-simplify]: Simplify 0 into 0 6.274 * [backup-simplify]: Simplify 1 into 1 6.274 * [backup-simplify]: Simplify (/ -1 1) into -1 6.274 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.275 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.275 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.275 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 6.275 * [backup-simplify]: Simplify (- 0) into 0 6.275 * [backup-simplify]: Simplify (+ 0 0) into 0 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify (- 0) into 0 6.276 * [backup-simplify]: Simplify (+ 0 0) into 0 6.276 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify (- 0) into 0 6.276 * [backup-simplify]: Simplify (+ 0 0) into 0 6.276 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify (- 0) into 0 6.277 * [backup-simplify]: Simplify (+ 0 0) into 0 6.277 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify (- 0) into 0 6.277 * [backup-simplify]: Simplify (+ 0 0) into 0 6.277 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify (- 0) into 0 6.278 * [backup-simplify]: Simplify (+ 0 0) into 0 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 6.278 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 6.279 * [backup-simplify]: Simplify (/ x (- 1.0 (cos x))) into (/ x (- 1.0 (cos x))) 6.279 * [approximate]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in (x) around 0 6.279 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in x 6.279 * [taylor]: Taking taylor expansion of x in x 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 1 into 1 6.279 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.279 * [taylor]: Taking taylor expansion of 1.0 in x 6.279 * [backup-simplify]: Simplify 1.0 into 1.0 6.279 * [taylor]: Taking taylor expansion of (cos x) in x 6.279 * [taylor]: Taking taylor expansion of x in x 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 1 into 1 6.279 * [backup-simplify]: Simplify (- 1) into -1 6.280 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.280 * [backup-simplify]: Simplify (+ 0) into 0 6.281 * [backup-simplify]: Simplify (- 0) into 0 6.281 * [backup-simplify]: Simplify (+ 0 0) into 0 6.282 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.282 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.283 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.283 * [backup-simplify]: Simplify (/ 1 1/2) into 2 6.283 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in x 6.283 * [taylor]: Taking taylor expansion of x in x 6.283 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify 1 into 1 6.283 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.283 * [taylor]: Taking taylor expansion of 1.0 in x 6.283 * [backup-simplify]: Simplify 1.0 into 1.0 6.283 * [taylor]: Taking taylor expansion of (cos x) in x 6.283 * [taylor]: Taking taylor expansion of x in x 6.283 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify 1 into 1 6.284 * [backup-simplify]: Simplify (- 1) into -1 6.284 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.285 * [backup-simplify]: Simplify (+ 0) into 0 6.285 * [backup-simplify]: Simplify (- 0) into 0 6.285 * [backup-simplify]: Simplify (+ 0 0) into 0 6.286 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.287 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.287 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.288 * [backup-simplify]: Simplify (/ 1 1/2) into 2 6.288 * [backup-simplify]: Simplify 2 into 2 6.289 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.289 * [backup-simplify]: Simplify (- 0) into 0 6.289 * [backup-simplify]: Simplify (+ 0 0) into 0 6.290 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)))) into 0 6.290 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 6.293 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.294 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.295 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into 1/6 6.295 * [backup-simplify]: Simplify 1/6 into 1/6 6.297 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.297 * [backup-simplify]: Simplify (- 0) into 0 6.297 * [backup-simplify]: Simplify (+ 0 0) into 0 6.299 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)) (* 0 (/ -1/24 1/2)) (* 1/6 (/ 0 1/2)))) into 0 6.299 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 6.304 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.304 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.306 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 1/720 1/2)) (* 0 (/ 0 1/2)) (* 1/6 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into 1/120 6.307 * [backup-simplify]: Simplify 1/120 into 1/120 6.307 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 3)) (+ (* 1/6 x) (* 2 (/ 1 x)))) into (+ (* 1/6 x) (+ (* 1/120 (pow x 3)) (* 2 (/ 1 x)))) 6.308 * [backup-simplify]: Simplify (/ (/ 1 x) (- 1.0 (cos (/ 1 x)))) into (/ 1 (* (- 1.0 (cos (/ 1 x))) x)) 6.308 * [approximate]: Taking taylor expansion of (/ 1 (* (- 1.0 (cos (/ 1 x))) x)) in (x) around 0 6.308 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (cos (/ 1 x))) x)) in x 6.308 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 6.308 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.308 * [taylor]: Taking taylor expansion of 1.0 in x 6.308 * [backup-simplify]: Simplify 1.0 into 1.0 6.308 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.308 * [taylor]: Taking taylor expansion of x in x 6.308 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify 1 into 1 6.309 * [backup-simplify]: Simplify (/ 1 1) into 1 6.309 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.309 * [taylor]: Taking taylor expansion of x in x 6.309 * [backup-simplify]: Simplify 0 into 0 6.309 * [backup-simplify]: Simplify 1 into 1 6.309 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.309 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.309 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 6.310 * [backup-simplify]: Simplify (- 0) into 0 6.311 * [backup-simplify]: Simplify (+ 0 0) into 0 6.315 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 6.316 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 6.316 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (cos (/ 1 x))) x)) in x 6.316 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 6.316 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.316 * [taylor]: Taking taylor expansion of 1.0 in x 6.316 * [backup-simplify]: Simplify 1.0 into 1.0 6.316 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.316 * [taylor]: Taking taylor expansion of x in x 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify 1 into 1 6.316 * [backup-simplify]: Simplify (/ 1 1) into 1 6.316 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.316 * [taylor]: Taking taylor expansion of x in x 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify 1 into 1 6.316 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.317 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.317 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 6.317 * [backup-simplify]: Simplify (- 0) into 0 6.317 * [backup-simplify]: Simplify (+ 0 0) into 0 6.317 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 6.318 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 6.318 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 6.318 * [backup-simplify]: Simplify (- 0) into 0 6.318 * [backup-simplify]: Simplify (+ 0 0) into 0 6.319 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 6.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify (- 0) into 0 6.319 * [backup-simplify]: Simplify (+ 0 0) into 0 6.320 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 6.320 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify (- 0) into 0 6.321 * [backup-simplify]: Simplify (+ 0 0) into 0 6.321 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 6.322 * [backup-simplify]: Simplify 0 into 0 6.322 * [backup-simplify]: Simplify (- 0) into 0 6.322 * [backup-simplify]: Simplify (+ 0 0) into 0 6.323 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 6.323 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify (- 0) into 0 6.324 * [backup-simplify]: Simplify (+ 0 0) into 0 6.325 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 6.325 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify (- 0) into 0 6.326 * [backup-simplify]: Simplify (+ 0 0) into 0 6.326 * [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 6.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify (* (/ 1 (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 (/ 1 x))) into (/ x (- 1.0 (cos x))) 6.327 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (- 1.0 (cos (/ 1 (- x))))) into (/ -1 (* x (- 1.0 (cos (/ -1 x))))) 6.327 * [approximate]: Taking taylor expansion of (/ -1 (* x (- 1.0 (cos (/ -1 x))))) in (x) around 0 6.327 * [taylor]: Taking taylor expansion of (/ -1 (* x (- 1.0 (cos (/ -1 x))))) in x 6.327 * [taylor]: Taking taylor expansion of -1 in x 6.327 * [backup-simplify]: Simplify -1 into -1 6.327 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 6.327 * [taylor]: Taking taylor expansion of x in x 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify 1 into 1 6.327 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.327 * [taylor]: Taking taylor expansion of 1.0 in x 6.327 * [backup-simplify]: Simplify 1.0 into 1.0 6.327 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.327 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.327 * [taylor]: Taking taylor expansion of -1 in x 6.327 * [backup-simplify]: Simplify -1 into -1 6.327 * [taylor]: Taking taylor expansion of x in x 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify 1 into 1 6.328 * [backup-simplify]: Simplify (/ -1 1) into -1 6.328 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.328 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.328 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.328 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 6.328 * [backup-simplify]: Simplify (- 0) into 0 6.328 * [backup-simplify]: Simplify (+ 0 0) into 0 6.329 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 6.329 * [backup-simplify]: Simplify (/ -1 (- 1.0 (cos (/ -1 x)))) into (/ -1 (- 1.0 (cos (/ -1 x)))) 6.329 * [taylor]: Taking taylor expansion of (/ -1 (* x (- 1.0 (cos (/ -1 x))))) in x 6.329 * [taylor]: Taking taylor expansion of -1 in x 6.329 * [backup-simplify]: Simplify -1 into -1 6.329 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 6.329 * [taylor]: Taking taylor expansion of x in x 6.329 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify 1 into 1 6.329 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.329 * [taylor]: Taking taylor expansion of 1.0 in x 6.329 * [backup-simplify]: Simplify 1.0 into 1.0 6.329 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.329 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.329 * [taylor]: Taking taylor expansion of -1 in x 6.329 * [backup-simplify]: Simplify -1 into -1 6.329 * [taylor]: Taking taylor expansion of x in x 6.329 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify 1 into 1 6.329 * [backup-simplify]: Simplify (/ -1 1) into -1 6.329 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.329 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.330 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.330 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 6.330 * [backup-simplify]: Simplify (- 0) into 0 6.330 * [backup-simplify]: Simplify (+ 0 0) into 0 6.330 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 6.330 * [backup-simplify]: Simplify (/ -1 (- 1.0 (cos (/ -1 x)))) into (/ -1 (- 1.0 (cos (/ -1 x)))) 6.331 * [backup-simplify]: Simplify (/ -1 (- 1.0 (cos (/ -1 x)))) into (/ -1 (- 1.0 (cos (/ -1 x)))) 6.331 * [backup-simplify]: Simplify (- 0) into 0 6.331 * [backup-simplify]: Simplify (+ 0 0) into 0 6.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 6.332 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.332 * [backup-simplify]: Simplify 0 into 0 6.332 * [backup-simplify]: Simplify (- 0) into 0 6.332 * [backup-simplify]: Simplify (+ 0 0) into 0 6.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.333 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.333 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify (- 0) into 0 6.334 * [backup-simplify]: Simplify (+ 0 0) into 0 6.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 6.335 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify (- 0) into 0 6.336 * [backup-simplify]: Simplify (+ 0 0) into 0 6.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 6.337 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.337 * [backup-simplify]: Simplify 0 into 0 6.337 * [backup-simplify]: Simplify (- 0) into 0 6.338 * [backup-simplify]: Simplify (+ 0 0) into 0 6.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 6.339 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.339 * [backup-simplify]: Simplify 0 into 0 6.340 * [backup-simplify]: Simplify (- 0) into 0 6.340 * [backup-simplify]: Simplify (+ 0 0) into 0 6.342 * [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 6.342 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.342 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify (* (/ -1 (- 1.0 (cos (/ -1 (/ 1 (- x)))))) (/ 1 (/ 1 (- x)))) into (/ x (- 1.0 (cos x))) 6.342 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 6.342 * [backup-simplify]: Simplify (/ 1 (/ x (- 1.0 (cos x)))) into (/ (- 1.0 (cos x)) x) 6.342 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 6.342 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 6.342 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.342 * [taylor]: Taking taylor expansion of 1.0 in x 6.343 * [backup-simplify]: Simplify 1.0 into 1.0 6.343 * [taylor]: Taking taylor expansion of (cos x) in x 6.343 * [taylor]: Taking taylor expansion of x in x 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify 1 into 1 6.343 * [taylor]: Taking taylor expansion of x in x 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify 1 into 1 6.343 * [backup-simplify]: Simplify (- 1) into -1 6.343 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.343 * [backup-simplify]: Simplify (+ 0) into 0 6.344 * [backup-simplify]: Simplify (- 0) into 0 6.344 * [backup-simplify]: Simplify (+ 0 0) into 0 6.344 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.345 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.345 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.345 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.345 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 6.345 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.345 * [taylor]: Taking taylor expansion of 1.0 in x 6.345 * [backup-simplify]: Simplify 1.0 into 1.0 6.345 * [taylor]: Taking taylor expansion of (cos x) in x 6.345 * [taylor]: Taking taylor expansion of x in x 6.345 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify 1 into 1 6.345 * [taylor]: Taking taylor expansion of x in x 6.345 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify 1 into 1 6.346 * [backup-simplify]: Simplify (- 1) into -1 6.346 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.347 * [backup-simplify]: Simplify (+ 0) into 0 6.347 * [backup-simplify]: Simplify (- 0) into 0 6.348 * [backup-simplify]: Simplify (+ 0 0) into 0 6.348 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.349 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.349 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.350 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.350 * [backup-simplify]: Simplify 1/2 into 1/2 6.351 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.351 * [backup-simplify]: Simplify (- 0) into 0 6.352 * [backup-simplify]: Simplify (+ 0 0) into 0 6.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.353 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 6.356 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.356 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.358 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 6.358 * [backup-simplify]: Simplify -1/24 into -1/24 6.360 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.360 * [backup-simplify]: Simplify (- 0) into 0 6.361 * [backup-simplify]: Simplify (+ 0 0) into 0 6.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 6.362 * [backup-simplify]: Simplify 0 into 0 6.367 * [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 6.367 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.368 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.369 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 6.370 * [backup-simplify]: Simplify 1/720 into 1/720 6.370 * [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))) 6.370 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 x) (- 1.0 (cos (/ 1 x))))) into (* (- 1.0 (cos (/ 1 x))) x) 6.370 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in (x) around 0 6.370 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 6.370 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.370 * [taylor]: Taking taylor expansion of 1.0 in x 6.370 * [backup-simplify]: Simplify 1.0 into 1.0 6.371 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.371 * [taylor]: Taking taylor expansion of x in x 6.371 * [backup-simplify]: Simplify 0 into 0 6.371 * [backup-simplify]: Simplify 1 into 1 6.371 * [backup-simplify]: Simplify (/ 1 1) into 1 6.371 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.371 * [taylor]: Taking taylor expansion of x in x 6.371 * [backup-simplify]: Simplify 0 into 0 6.371 * [backup-simplify]: Simplify 1 into 1 6.371 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 6.371 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.371 * [taylor]: Taking taylor expansion of 1.0 in x 6.371 * [backup-simplify]: Simplify 1.0 into 1.0 6.371 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.371 * [taylor]: Taking taylor expansion of x in x 6.371 * [backup-simplify]: Simplify 0 into 0 6.372 * [backup-simplify]: Simplify 1 into 1 6.372 * [backup-simplify]: Simplify (/ 1 1) into 1 6.372 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.372 * [taylor]: Taking taylor expansion of x in x 6.372 * [backup-simplify]: Simplify 0 into 0 6.372 * [backup-simplify]: Simplify 1 into 1 6.372 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.372 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.372 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 6.373 * [backup-simplify]: Simplify 0 into 0 6.373 * [backup-simplify]: Simplify (- 0) into 0 6.373 * [backup-simplify]: Simplify (+ 0 0) into 0 6.374 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 6.374 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.374 * [backup-simplify]: Simplify (- 0) into 0 6.375 * [backup-simplify]: Simplify (+ 0 0) into 0 6.375 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 6.376 * [backup-simplify]: Simplify 0 into 0 6.376 * [backup-simplify]: Simplify (- 0) into 0 6.376 * [backup-simplify]: Simplify (+ 0 0) into 0 6.377 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.377 * [backup-simplify]: Simplify 0 into 0 6.378 * [backup-simplify]: Simplify (- 0) into 0 6.378 * [backup-simplify]: Simplify (+ 0 0) into 0 6.379 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify (- 0) into 0 6.380 * [backup-simplify]: Simplify (+ 0 0) into 0 6.381 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.381 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify (- 0) into 0 6.382 * [backup-simplify]: Simplify (+ 0 0) into 0 6.383 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.383 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify (- 0) into 0 6.384 * [backup-simplify]: Simplify (+ 0 0) into 0 6.385 * [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 6.385 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 6.386 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- x)) (- 1.0 (cos (/ 1 (- x)))))) into (* -1 (* x (- 1.0 (cos (/ -1 x))))) 6.386 * [approximate]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in (x) around 0 6.386 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 6.386 * [taylor]: Taking taylor expansion of -1 in x 6.386 * [backup-simplify]: Simplify -1 into -1 6.386 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 6.386 * [taylor]: Taking taylor expansion of x in x 6.386 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify 1 into 1 6.386 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.386 * [taylor]: Taking taylor expansion of 1.0 in x 6.386 * [backup-simplify]: Simplify 1.0 into 1.0 6.386 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.386 * [taylor]: Taking taylor expansion of -1 in x 6.386 * [backup-simplify]: Simplify -1 into -1 6.386 * [taylor]: Taking taylor expansion of x in x 6.386 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify 1 into 1 6.387 * [backup-simplify]: Simplify (/ -1 1) into -1 6.387 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.387 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 6.387 * [taylor]: Taking taylor expansion of -1 in x 6.387 * [backup-simplify]: Simplify -1 into -1 6.387 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 6.387 * [taylor]: Taking taylor expansion of x in x 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify 1 into 1 6.387 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.387 * [taylor]: Taking taylor expansion of 1.0 in x 6.387 * [backup-simplify]: Simplify 1.0 into 1.0 6.387 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.387 * [taylor]: Taking taylor expansion of -1 in x 6.387 * [backup-simplify]: Simplify -1 into -1 6.387 * [taylor]: Taking taylor expansion of x in x 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify 1 into 1 6.388 * [backup-simplify]: Simplify (/ -1 1) into -1 6.388 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.388 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.388 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.388 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 6.389 * [backup-simplify]: Simplify (* -1 0) into 0 6.389 * [backup-simplify]: Simplify 0 into 0 6.389 * [backup-simplify]: Simplify (- 0) into 0 6.389 * [backup-simplify]: Simplify (+ 0 0) into 0 6.390 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 6.391 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 6.391 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 6.391 * [backup-simplify]: Simplify (- 0) into 0 6.392 * [backup-simplify]: Simplify (+ 0 0) into 0 6.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 6.393 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 6.393 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify (- 0) into 0 6.394 * [backup-simplify]: Simplify (+ 0 0) into 0 6.395 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.397 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 6.397 * [backup-simplify]: Simplify 0 into 0 6.397 * [backup-simplify]: Simplify (- 0) into 0 6.397 * [backup-simplify]: Simplify (+ 0 0) into 0 6.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 6.401 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 6.401 * [backup-simplify]: Simplify 0 into 0 6.401 * [backup-simplify]: Simplify (- 0) into 0 6.402 * [backup-simplify]: Simplify (+ 0 0) into 0 6.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 6.405 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 6.405 * [backup-simplify]: Simplify 0 into 0 6.406 * [backup-simplify]: Simplify (- 0) into 0 6.406 * [backup-simplify]: Simplify (+ 0 0) into 0 6.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 6.411 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 6.411 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify (- 0) into 0 6.412 * [backup-simplify]: Simplify (+ 0 0) into 0 6.414 * [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 6.417 * [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 6.417 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 6.417 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.418 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 (/ x (- 1.0 (cos x))))) into (/ (- 1.0 (cos x)) (pow x 2)) 6.418 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 6.418 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 6.418 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.418 * [taylor]: Taking taylor expansion of 1.0 in x 6.418 * [backup-simplify]: Simplify 1.0 into 1.0 6.418 * [taylor]: Taking taylor expansion of (cos x) in x 6.418 * [taylor]: Taking taylor expansion of x in x 6.418 * [backup-simplify]: Simplify 0 into 0 6.418 * [backup-simplify]: Simplify 1 into 1 6.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.418 * [taylor]: Taking taylor expansion of x in x 6.418 * [backup-simplify]: Simplify 0 into 0 6.418 * [backup-simplify]: Simplify 1 into 1 6.418 * [backup-simplify]: Simplify (- 1) into -1 6.419 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.419 * [backup-simplify]: Simplify (+ 0) into 0 6.419 * [backup-simplify]: Simplify (- 0) into 0 6.420 * [backup-simplify]: Simplify (+ 0 0) into 0 6.421 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.421 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.422 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.422 * [backup-simplify]: Simplify (* 1 1) into 1 6.422 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.422 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 6.422 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.422 * [taylor]: Taking taylor expansion of 1.0 in x 6.422 * [backup-simplify]: Simplify 1.0 into 1.0 6.422 * [taylor]: Taking taylor expansion of (cos x) in x 6.423 * [taylor]: Taking taylor expansion of x in x 6.423 * [backup-simplify]: Simplify 0 into 0 6.423 * [backup-simplify]: Simplify 1 into 1 6.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.423 * [taylor]: Taking taylor expansion of x in x 6.423 * [backup-simplify]: Simplify 0 into 0 6.423 * [backup-simplify]: Simplify 1 into 1 6.423 * [backup-simplify]: Simplify (- 1) into -1 6.423 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.424 * [backup-simplify]: Simplify (+ 0) into 0 6.424 * [backup-simplify]: Simplify (- 0) into 0 6.425 * [backup-simplify]: Simplify (+ 0 0) into 0 6.425 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.426 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.426 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.427 * [backup-simplify]: Simplify (* 1 1) into 1 6.427 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.427 * [backup-simplify]: Simplify 1/2 into 1/2 6.428 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.429 * [backup-simplify]: Simplify (- 0) into 0 6.429 * [backup-simplify]: Simplify (+ 0 0) into 0 6.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.430 * [backup-simplify]: Simplify 0 into 0 6.432 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 6.432 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.432 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.433 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 6.433 * [backup-simplify]: Simplify -1/24 into -1/24 6.435 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.436 * [backup-simplify]: Simplify (- 0) into 0 6.437 * [backup-simplify]: Simplify (+ 0 0) into 0 6.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 6.438 * [backup-simplify]: Simplify 0 into 0 6.441 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 6.441 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.441 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.443 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 6.443 * [backup-simplify]: Simplify 1/720 into 1/720 6.443 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 6.443 * [backup-simplify]: Simplify (* (/ 1 (/ 1 x)) (/ 1 (/ (/ 1 x) (- 1.0 (cos (/ 1 x)))))) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 6.443 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 6.443 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 6.443 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.443 * [taylor]: Taking taylor expansion of 1.0 in x 6.443 * [backup-simplify]: Simplify 1.0 into 1.0 6.443 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.443 * [taylor]: Taking taylor expansion of x in x 6.443 * [backup-simplify]: Simplify 0 into 0 6.443 * [backup-simplify]: Simplify 1 into 1 6.444 * [backup-simplify]: Simplify (/ 1 1) into 1 6.444 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.444 * [taylor]: Taking taylor expansion of x in x 6.444 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify 1 into 1 6.444 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 6.444 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.444 * [taylor]: Taking taylor expansion of 1.0 in x 6.444 * [backup-simplify]: Simplify 1.0 into 1.0 6.444 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.444 * [taylor]: Taking taylor expansion of x in x 6.444 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify 1 into 1 6.444 * [backup-simplify]: Simplify (/ 1 1) into 1 6.444 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.444 * [taylor]: Taking taylor expansion of x in x 6.444 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify 1 into 1 6.444 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.444 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.445 * [backup-simplify]: Simplify (* 1 1) into 1 6.445 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 6.445 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.446 * [backup-simplify]: Simplify (- 0) into 0 6.446 * [backup-simplify]: Simplify (+ 0 0) into 0 6.446 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 6.446 * [backup-simplify]: Simplify 0 into 0 6.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.447 * [backup-simplify]: Simplify (- 0) into 0 6.447 * [backup-simplify]: Simplify (+ 0 0) into 0 6.448 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 6.448 * [backup-simplify]: Simplify 0 into 0 6.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.448 * [backup-simplify]: Simplify (- 0) into 0 6.449 * [backup-simplify]: Simplify (+ 0 0) into 0 6.449 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.449 * [backup-simplify]: Simplify 0 into 0 6.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.450 * [backup-simplify]: Simplify (- 0) into 0 6.451 * [backup-simplify]: Simplify (+ 0 0) into 0 6.451 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.451 * [backup-simplify]: Simplify 0 into 0 6.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.452 * [backup-simplify]: Simplify (- 0) into 0 6.453 * [backup-simplify]: Simplify (+ 0 0) into 0 6.453 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.453 * [backup-simplify]: Simplify 0 into 0 6.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.455 * [backup-simplify]: Simplify (- 0) into 0 6.456 * [backup-simplify]: Simplify (+ 0 0) into 0 6.457 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.457 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 6.458 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- x))) (/ 1 (/ (/ 1 (- x)) (- 1.0 (cos (/ 1 (- x))))))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 6.458 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 6.458 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 6.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.458 * [taylor]: Taking taylor expansion of x in x 6.458 * [backup-simplify]: Simplify 0 into 0 6.458 * [backup-simplify]: Simplify 1 into 1 6.458 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.458 * [taylor]: Taking taylor expansion of 1.0 in x 6.458 * [backup-simplify]: Simplify 1.0 into 1.0 6.458 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.458 * [taylor]: Taking taylor expansion of -1 in x 6.458 * [backup-simplify]: Simplify -1 into -1 6.458 * [taylor]: Taking taylor expansion of x in x 6.458 * [backup-simplify]: Simplify 0 into 0 6.458 * [backup-simplify]: Simplify 1 into 1 6.459 * [backup-simplify]: Simplify (/ -1 1) into -1 6.459 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.459 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 6.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.459 * [taylor]: Taking taylor expansion of x in x 6.459 * [backup-simplify]: Simplify 0 into 0 6.459 * [backup-simplify]: Simplify 1 into 1 6.459 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.459 * [taylor]: Taking taylor expansion of 1.0 in x 6.459 * [backup-simplify]: Simplify 1.0 into 1.0 6.459 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.459 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.459 * [taylor]: Taking taylor expansion of -1 in x 6.459 * [backup-simplify]: Simplify -1 into -1 6.459 * [taylor]: Taking taylor expansion of x in x 6.459 * [backup-simplify]: Simplify 0 into 0 6.459 * [backup-simplify]: Simplify 1 into 1 6.460 * [backup-simplify]: Simplify (/ -1 1) into -1 6.460 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.460 * [backup-simplify]: Simplify (* 1 1) into 1 6.460 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.460 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.460 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.461 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 6.461 * [backup-simplify]: Simplify (- 0) into 0 6.461 * [backup-simplify]: Simplify (+ 0 0) into 0 6.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 6.463 * [backup-simplify]: Simplify 0 into 0 6.463 * [backup-simplify]: Simplify (- 0) into 0 6.463 * [backup-simplify]: Simplify (+ 0 0) into 0 6.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 6.465 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify (- 0) into 0 6.466 * [backup-simplify]: Simplify (+ 0 0) into 0 6.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.469 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify (- 0) into 0 6.469 * [backup-simplify]: Simplify (+ 0 0) into 0 6.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 6.472 * [backup-simplify]: Simplify 0 into 0 6.473 * [backup-simplify]: Simplify (- 0) into 0 6.473 * [backup-simplify]: Simplify (+ 0 0) into 0 6.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 6.477 * [backup-simplify]: Simplify 0 into 0 6.477 * [backup-simplify]: Simplify (- 0) into 0 6.478 * [backup-simplify]: Simplify (+ 0 0) into 0 6.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 6.482 * * * [progress]: simplifying candidates 6.488 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos 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8.993 * * [progress]: iteration 4 / 4 8.993 * * * [progress]: picking best candidate 9.055 * * * * [pick]: Picked # 9.055 * * * [progress]: localizing error 9.136 * * * [progress]: generating rewritten candidates 9.136 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 9.180 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 9.194 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 9.202 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2 1) 9.212 * * * [progress]: generating series expansions 9.212 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 9.213 * [backup-simplify]: Simplify (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x))) into (- 1.0 (pow (cos x) 3)) 9.213 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 9.213 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 9.213 * [taylor]: Taking taylor expansion of 1.0 in x 9.213 * [backup-simplify]: Simplify 1.0 into 1.0 9.213 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 9.213 * [taylor]: Taking taylor expansion of (cos x) in x 9.213 * [taylor]: Taking taylor expansion of x in x 9.213 * [backup-simplify]: Simplify 0 into 0 9.213 * [backup-simplify]: Simplify 1 into 1 9.213 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 9.213 * [taylor]: Taking taylor expansion of 1.0 in x 9.213 * [backup-simplify]: Simplify 1.0 into 1.0 9.213 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 9.213 * [taylor]: Taking taylor expansion of (cos x) in x 9.213 * [taylor]: Taking taylor expansion of x in x 9.213 * [backup-simplify]: Simplify 0 into 0 9.213 * [backup-simplify]: Simplify 1 into 1 9.214 * [backup-simplify]: Simplify (* 1 1) into 1 9.214 * [backup-simplify]: Simplify (* 1 1) into 1 9.214 * [backup-simplify]: Simplify (- 1) into -1 9.214 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 9.214 * [backup-simplify]: Simplify 0 into 0 9.215 * [backup-simplify]: Simplify (+ 0) into 0 9.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.216 * [backup-simplify]: Simplify (- 0) into 0 9.216 * [backup-simplify]: Simplify (+ 0 0) into 0 9.216 * [backup-simplify]: Simplify 0 into 0 9.217 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 9.218 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 9.218 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 9.218 * [backup-simplify]: Simplify (- -3/2) into 3/2 9.219 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 9.219 * [backup-simplify]: Simplify 3/2 into 3/2 9.219 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 9.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 9.221 * [backup-simplify]: Simplify (- 0) into 0 9.222 * [backup-simplify]: Simplify (+ 0 0) into 0 9.222 * [backup-simplify]: Simplify 0 into 0 9.223 * [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 9.224 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 9.225 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 9.225 * [backup-simplify]: Simplify (- 7/8) into -7/8 9.226 * [backup-simplify]: Simplify (+ 0 -7/8) into -7/8 9.226 * [backup-simplify]: Simplify -7/8 into -7/8 9.228 * [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 9.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/2 0) (+ (* 0 -1/2) (+ (* 1/24 0) (* 0 1)))))) into 0 9.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* -1/2 0) (+ (* 0 -1) (+ (* 1/24 0) (* 0 1)))))) into 0 9.233 * [backup-simplify]: Simplify (- 0) into 0 9.234 * [backup-simplify]: Simplify (+ 0 0) into 0 9.234 * [backup-simplify]: Simplify 0 into 0 9.238 * [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 9.239 * [backup-simplify]: Simplify (+ (* 1 -1/720) (+ (* 0 0) (+ (* -1/2 1/24) (+ (* 0 0) (+ (* 1/24 -1/2) (+ (* 0 0) (* -1/720 1))))))) into -2/45 9.241 * [backup-simplify]: Simplify (+ (* 1 -2/45) (+ (* 0 0) (+ (* -1/2 1/3) (+ (* 0 0) (+ (* 1/24 -1) (+ (* 0 0) (* -1/720 1))))))) into -61/240 9.241 * [backup-simplify]: Simplify (- -61/240) into 61/240 9.242 * [backup-simplify]: Simplify (+ 0 61/240) into 61/240 9.242 * [backup-simplify]: Simplify 61/240 into 61/240 9.242 * [backup-simplify]: Simplify (+ (* 61/240 (pow x 6)) (+ (* -7/8 (pow x 4)) (* 3/2 (pow x 2)))) into (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) 9.243 * [backup-simplify]: Simplify (- (* (* 1.0 1.0) 1.0) (* (* (cos (/ 1 x)) (cos (/ 1 x))) (cos (/ 1 x)))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 9.243 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 9.243 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 9.243 * [taylor]: Taking taylor expansion of 1.0 in x 9.243 * [backup-simplify]: Simplify 1.0 into 1.0 9.243 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 9.243 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.243 * [taylor]: Taking taylor expansion of x in x 9.243 * [backup-simplify]: Simplify 0 into 0 9.243 * [backup-simplify]: Simplify 1 into 1 9.243 * [backup-simplify]: Simplify (/ 1 1) into 1 9.243 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.243 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 9.243 * [taylor]: Taking taylor expansion of 1.0 in x 9.243 * [backup-simplify]: Simplify 1.0 into 1.0 9.243 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 9.244 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.244 * [taylor]: Taking taylor expansion of x in x 9.244 * [backup-simplify]: Simplify 0 into 0 9.244 * [backup-simplify]: Simplify 1 into 1 9.244 * [backup-simplify]: Simplify (/ 1 1) into 1 9.244 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.244 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 9.244 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 9.244 * [backup-simplify]: Simplify (- (pow (cos (/ 1 x)) 3)) into (- (pow (cos (/ 1 x)) 3)) 9.244 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ 1 x)) 3))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 9.245 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 x)) 3)) into (- 1.0 (pow (cos (/ 1 x)) 3)) 9.245 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 9.245 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 9.245 * [backup-simplify]: Simplify (- 0) into 0 9.245 * [backup-simplify]: Simplify (+ 0 0) into 0 9.245 * [backup-simplify]: Simplify 0 into 0 9.246 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 9.246 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 9.246 * [backup-simplify]: Simplify (- 0) into 0 9.247 * [backup-simplify]: Simplify (+ 0 0) into 0 9.247 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 9.248 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 9.248 * [backup-simplify]: Simplify (- 0) into 0 9.248 * [backup-simplify]: Simplify (+ 0 0) into 0 9.248 * [backup-simplify]: Simplify 0 into 0 9.249 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 9.250 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 9.250 * [backup-simplify]: Simplify (- 0) into 0 9.250 * [backup-simplify]: Simplify (+ 0 0) into 0 9.250 * [backup-simplify]: Simplify 0 into 0 9.251 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 9.253 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 9.253 * [backup-simplify]: Simplify (- 0) into 0 9.253 * [backup-simplify]: Simplify (+ 0 0) into 0 9.253 * [backup-simplify]: Simplify 0 into 0 9.254 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 9.256 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))))) into 0 9.256 * [backup-simplify]: Simplify (- 0) into 0 9.256 * [backup-simplify]: Simplify (+ 0 0) into 0 9.256 * [backup-simplify]: Simplify 0 into 0 9.256 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 (/ 1 x))) 3)) into (- 1.0 (pow (cos x) 3)) 9.257 * [backup-simplify]: Simplify (- (* (* 1.0 1.0) 1.0) (* (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (cos (/ 1 (- x))))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 9.257 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 9.257 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 9.257 * [taylor]: Taking taylor expansion of 1.0 in x 9.257 * [backup-simplify]: Simplify 1.0 into 1.0 9.257 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 9.257 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.257 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.257 * [taylor]: Taking taylor expansion of -1 in x 9.257 * [backup-simplify]: Simplify -1 into -1 9.257 * [taylor]: Taking taylor expansion of x in x 9.257 * [backup-simplify]: Simplify 0 into 0 9.257 * [backup-simplify]: Simplify 1 into 1 9.257 * [backup-simplify]: Simplify (/ -1 1) into -1 9.258 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.258 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 9.258 * [taylor]: Taking taylor expansion of 1.0 in x 9.258 * [backup-simplify]: Simplify 1.0 into 1.0 9.258 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 9.258 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.258 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.258 * [taylor]: Taking taylor expansion of -1 in x 9.258 * [backup-simplify]: Simplify -1 into -1 9.258 * [taylor]: Taking taylor expansion of x in x 9.258 * [backup-simplify]: Simplify 0 into 0 9.258 * [backup-simplify]: Simplify 1 into 1 9.258 * [backup-simplify]: Simplify (/ -1 1) into -1 9.258 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.258 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 9.258 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 9.258 * [backup-simplify]: Simplify (- (pow (cos (/ -1 x)) 3)) into (- (pow (cos (/ -1 x)) 3)) 9.259 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ -1 x)) 3))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 9.259 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 x)) 3)) into (- 1.0 (pow (cos (/ -1 x)) 3)) 9.259 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 9.259 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 9.259 * [backup-simplify]: Simplify (- 0) into 0 9.259 * [backup-simplify]: Simplify (+ 0 0) into 0 9.260 * [backup-simplify]: Simplify 0 into 0 9.260 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 9.260 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 9.260 * [backup-simplify]: Simplify (- 0) into 0 9.261 * [backup-simplify]: Simplify (+ 0 0) into 0 9.261 * [backup-simplify]: Simplify 0 into 0 9.261 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 9.262 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 9.262 * [backup-simplify]: Simplify (- 0) into 0 9.262 * [backup-simplify]: Simplify (+ 0 0) into 0 9.262 * [backup-simplify]: Simplify 0 into 0 9.263 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 9.264 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 9.264 * [backup-simplify]: Simplify (- 0) into 0 9.265 * [backup-simplify]: Simplify (+ 0 0) into 0 9.265 * [backup-simplify]: Simplify 0 into 0 9.266 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 9.268 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 9.268 * [backup-simplify]: Simplify (- 0) into 0 9.268 * [backup-simplify]: Simplify (+ 0 0) into 0 9.268 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 9.272 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))))) into 0 9.273 * [backup-simplify]: Simplify (- 0) into 0 9.273 * [backup-simplify]: Simplify (+ 0 0) into 0 9.273 * [backup-simplify]: Simplify 0 into 0 9.273 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 (/ 1 (- x)))) 3)) into (- 1.0 (pow (cos x) 3)) 9.273 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 9.274 * [backup-simplify]: Simplify (+ (* (cos x) (cos x)) (* 1.0 (cos x))) into (+ (* 1.0 (cos x)) (pow (cos x) 2)) 9.274 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos x)) (pow (cos x) 2)) in (x) around 0 9.274 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos x)) (pow (cos x) 2)) in x 9.274 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 9.274 * [taylor]: Taking taylor expansion of 1.0 in x 9.274 * [backup-simplify]: Simplify 1.0 into 1.0 9.274 * [taylor]: Taking taylor expansion of (cos x) in x 9.274 * [taylor]: Taking taylor expansion of x in x 9.274 * [backup-simplify]: Simplify 0 into 0 9.274 * [backup-simplify]: Simplify 1 into 1 9.274 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 9.274 * [taylor]: Taking taylor expansion of (cos x) in x 9.274 * [taylor]: Taking taylor expansion of x in x 9.274 * [backup-simplify]: Simplify 0 into 0 9.274 * [backup-simplify]: Simplify 1 into 1 9.274 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos x)) (pow (cos x) 2)) in x 9.274 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 9.274 * [taylor]: Taking taylor expansion of 1.0 in x 9.274 * [backup-simplify]: Simplify 1.0 into 1.0 9.274 * [taylor]: Taking taylor expansion of (cos x) in x 9.274 * [taylor]: Taking taylor expansion of x in x 9.274 * [backup-simplify]: Simplify 0 into 0 9.274 * [backup-simplify]: Simplify 1 into 1 9.274 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 9.274 * [taylor]: Taking taylor expansion of (cos x) in x 9.274 * [taylor]: Taking taylor expansion of x in x 9.274 * [backup-simplify]: Simplify 0 into 0 9.274 * [backup-simplify]: Simplify 1 into 1 9.275 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 9.276 * [backup-simplify]: Simplify (* 1 1) into 1 9.277 * [backup-simplify]: Simplify (+ 1.0 1) into 2.0 9.277 * [backup-simplify]: Simplify 2.0 into 2.0 9.277 * [backup-simplify]: Simplify (+ 0) into 0 9.278 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 9.278 * [backup-simplify]: Simplify (+ 0) into 0 9.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.279 * [backup-simplify]: Simplify (+ 0 0) into 0 9.279 * [backup-simplify]: Simplify 0 into 0 9.280 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 9.282 * [backup-simplify]: Simplify (+ (* 1.0 -1/2) (+ (* 0 0) (* 0 1))) into (- 0.5) 9.283 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 9.283 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 9.284 * [backup-simplify]: Simplify (+ (- 0.5) -1) into (- 1.5) 9.286 * [backup-simplify]: Simplify (- 1.5) into (- 1.5) 9.287 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.287 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 9.288 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 9.289 * [backup-simplify]: Simplify (+ 0 0) into 0 9.289 * [backup-simplify]: Simplify 0 into 0 9.291 * [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 9.293 * [backup-simplify]: Simplify (+ (* 1.0 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 0.041666666666666664 9.294 * [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 9.295 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 9.295 * [backup-simplify]: Simplify (+ 0.041666666666666664 1/3) into 0.375 9.295 * [backup-simplify]: Simplify 0.375 into 0.375 9.296 * [backup-simplify]: Simplify (+ (* 0.375 (pow x 4)) (+ (* (- 1.5) (pow x 2)) 2.0)) into (- (+ (* 0.375 (pow x 4)) 2.0) (* 1.5 (pow x 2))) 9.296 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) (cos (/ 1 x))) (* 1.0 (cos (/ 1 x)))) into (+ (pow (cos (/ 1 x)) 2) (* 1.0 (cos (/ 1 x)))) 9.296 * [approximate]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) (* 1.0 (cos (/ 1 x)))) in (x) around 0 9.296 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) (* 1.0 (cos (/ 1 x)))) in x 9.296 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 9.296 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.296 * [taylor]: Taking taylor expansion of x in x 9.296 * [backup-simplify]: Simplify 0 into 0 9.296 * [backup-simplify]: Simplify 1 into 1 9.296 * [backup-simplify]: Simplify (/ 1 1) into 1 9.296 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.296 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 9.296 * [taylor]: Taking taylor expansion of 1.0 in x 9.296 * [backup-simplify]: Simplify 1.0 into 1.0 9.296 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.297 * [taylor]: Taking taylor expansion of x in x 9.297 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify 1 into 1 9.297 * [backup-simplify]: Simplify (/ 1 1) into 1 9.297 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.297 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) (* 1.0 (cos (/ 1 x)))) in x 9.297 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 9.297 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.297 * [taylor]: Taking taylor expansion of x in x 9.297 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify 1 into 1 9.297 * [backup-simplify]: Simplify (/ 1 1) into 1 9.297 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.297 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 9.297 * [taylor]: Taking taylor expansion of 1.0 in x 9.297 * [backup-simplify]: Simplify 1.0 into 1.0 9.297 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.297 * [taylor]: Taking taylor expansion of x in x 9.297 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify 1 into 1 9.298 * [backup-simplify]: Simplify (/ 1 1) into 1 9.298 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.298 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 9.298 * [backup-simplify]: Simplify (* 1.0 (cos (/ 1 x))) into (* 1.0 (cos (/ 1 x))) 9.298 * [backup-simplify]: Simplify (+ (pow (cos (/ 1 x)) 2) (* 1.0 (cos (/ 1 x)))) into (+ (pow (cos (/ 1 x)) 2) (* 1.0 (cos (/ 1 x)))) 9.298 * [backup-simplify]: Simplify (+ (pow (cos (/ 1 x)) 2) (* 1.0 (cos (/ 1 x)))) into (+ (pow (cos (/ 1 x)) 2) (* 1.0 (cos (/ 1 x)))) 9.298 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 9.299 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (cos (/ 1 x)))) into 0 9.299 * [backup-simplify]: Simplify (+ 0 0) into 0 9.299 * [backup-simplify]: Simplify 0 into 0 9.299 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 9.300 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 9.300 * [backup-simplify]: Simplify (+ 0 0) into 0 9.300 * [backup-simplify]: Simplify 0 into 0 9.301 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 9.301 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 9.302 * [backup-simplify]: Simplify (+ 0 0) into 0 9.302 * [backup-simplify]: Simplify 0 into 0 9.303 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 9.303 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 9.304 * [backup-simplify]: Simplify (+ 0 0) into 0 9.304 * [backup-simplify]: Simplify 0 into 0 9.305 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 9.306 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 9.306 * [backup-simplify]: Simplify (+ 0 0) into 0 9.306 * [backup-simplify]: Simplify 0 into 0 9.307 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 9.309 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 9.309 * [backup-simplify]: Simplify (+ 0 0) into 0 9.309 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify (+ (pow (cos (/ 1 (/ 1 x))) 2) (* 1.0 (cos (/ 1 (/ 1 x))))) into (+ (* 1.0 (cos x)) (pow (cos x) 2)) 9.310 * [backup-simplify]: Simplify (+ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* 1.0 (cos (/ 1 (- x))))) into (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) 9.310 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in (x) around 0 9.310 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 9.310 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 9.310 * [taylor]: Taking taylor expansion of 1.0 in x 9.310 * [backup-simplify]: Simplify 1.0 into 1.0 9.310 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.310 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.310 * [taylor]: Taking taylor expansion of -1 in x 9.310 * [backup-simplify]: Simplify -1 into -1 9.310 * [taylor]: Taking taylor expansion of x in x 9.310 * [backup-simplify]: Simplify 0 into 0 9.310 * [backup-simplify]: Simplify 1 into 1 9.310 * [backup-simplify]: Simplify (/ -1 1) into -1 9.310 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.310 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 9.310 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.310 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.310 * [taylor]: Taking taylor expansion of -1 in x 9.310 * [backup-simplify]: Simplify -1 into -1 9.310 * [taylor]: Taking taylor expansion of x in x 9.310 * [backup-simplify]: Simplify 0 into 0 9.310 * [backup-simplify]: Simplify 1 into 1 9.310 * [backup-simplify]: Simplify (/ -1 1) into -1 9.311 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.311 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 9.311 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 9.311 * [taylor]: Taking taylor expansion of 1.0 in x 9.311 * [backup-simplify]: Simplify 1.0 into 1.0 9.311 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.311 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.311 * [taylor]: Taking taylor expansion of -1 in x 9.311 * [backup-simplify]: Simplify -1 into -1 9.311 * [taylor]: Taking taylor expansion of x in x 9.311 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify 1 into 1 9.311 * [backup-simplify]: Simplify (/ -1 1) into -1 9.311 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.311 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 9.311 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.311 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.311 * [taylor]: Taking taylor expansion of -1 in x 9.311 * [backup-simplify]: Simplify -1 into -1 9.311 * [taylor]: Taking taylor expansion of x in x 9.311 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify 1 into 1 9.311 * [backup-simplify]: Simplify (/ -1 1) into -1 9.311 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.312 * [backup-simplify]: Simplify (* 1.0 (cos (/ -1 x))) into (* 1.0 (cos (/ -1 x))) 9.312 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 9.312 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) into (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) 9.312 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) into (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) 9.312 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (cos (/ -1 x)))) into 0 9.313 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 9.313 * [backup-simplify]: Simplify (+ 0 0) into 0 9.313 * [backup-simplify]: Simplify 0 into 0 9.313 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 9.314 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 9.314 * [backup-simplify]: Simplify (+ 0 0) into 0 9.314 * [backup-simplify]: Simplify 0 into 0 9.315 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 9.315 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 9.316 * [backup-simplify]: Simplify (+ 0 0) into 0 9.316 * [backup-simplify]: Simplify 0 into 0 9.317 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 9.318 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 9.318 * [backup-simplify]: Simplify (+ 0 0) into 0 9.318 * [backup-simplify]: Simplify 0 into 0 9.319 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 9.320 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 9.320 * [backup-simplify]: Simplify (+ 0 0) into 0 9.320 * [backup-simplify]: Simplify 0 into 0 9.322 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 9.323 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 9.323 * [backup-simplify]: Simplify (+ 0 0) into 0 9.323 * [backup-simplify]: Simplify 0 into 0 9.323 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (+ (* 1.0 (cos x)) (pow (cos x) 2)) 9.323 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 9.324 * [backup-simplify]: Simplify (* (cos x) (cos x)) into (pow (cos x) 2) 9.324 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 9.324 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 9.324 * [taylor]: Taking taylor expansion of (cos x) in x 9.324 * [taylor]: Taking taylor expansion of x in x 9.324 * [backup-simplify]: Simplify 0 into 0 9.324 * [backup-simplify]: Simplify 1 into 1 9.324 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 9.324 * [taylor]: Taking taylor expansion of (cos x) in x 9.324 * [taylor]: Taking taylor expansion of x in x 9.324 * [backup-simplify]: Simplify 0 into 0 9.324 * [backup-simplify]: Simplify 1 into 1 9.324 * [backup-simplify]: Simplify (* 1 1) into 1 9.324 * [backup-simplify]: Simplify 1 into 1 9.324 * [backup-simplify]: Simplify (+ 0) into 0 9.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.325 * [backup-simplify]: Simplify 0 into 0 9.325 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 9.326 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 9.326 * [backup-simplify]: Simplify -1 into -1 9.327 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 9.327 * [backup-simplify]: Simplify 0 into 0 9.329 * [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 9.330 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 9.330 * [backup-simplify]: Simplify 1/3 into 1/3 9.330 * [backup-simplify]: Simplify (+ (* 1/3 (pow x 4)) (+ (* -1 (pow x 2)) 1)) into (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) 9.331 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 9.331 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 9.331 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 9.331 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.331 * [taylor]: Taking taylor expansion of x in x 9.331 * [backup-simplify]: Simplify 0 into 0 9.331 * [backup-simplify]: Simplify 1 into 1 9.331 * [backup-simplify]: Simplify (/ 1 1) into 1 9.331 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.331 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 9.331 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.331 * [taylor]: Taking taylor expansion of x in x 9.331 * [backup-simplify]: Simplify 0 into 0 9.331 * [backup-simplify]: Simplify 1 into 1 9.332 * [backup-simplify]: Simplify (/ 1 1) into 1 9.332 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.332 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 9.332 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 2) into (pow (cos (/ 1 x)) 2) 9.332 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 9.332 * [backup-simplify]: Simplify 0 into 0 9.333 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 9.333 * [backup-simplify]: Simplify 0 into 0 9.334 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 9.334 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 9.335 * [backup-simplify]: Simplify 0 into 0 9.337 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 9.337 * [backup-simplify]: Simplify 0 into 0 9.339 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 9.339 * [backup-simplify]: Simplify 0 into 0 9.339 * [backup-simplify]: Simplify (pow (cos (/ 1 (/ 1 x))) 2) into (pow (cos x) 2) 9.339 * [backup-simplify]: Simplify (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) into (pow (cos (/ -1 x)) 2) 9.339 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 9.339 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 9.339 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.339 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.339 * [taylor]: Taking taylor expansion of -1 in x 9.339 * [backup-simplify]: Simplify -1 into -1 9.339 * [taylor]: Taking taylor expansion of x in x 9.339 * [backup-simplify]: Simplify 0 into 0 9.340 * [backup-simplify]: Simplify 1 into 1 9.340 * [backup-simplify]: Simplify (/ -1 1) into -1 9.340 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.340 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 9.340 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.340 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.340 * [taylor]: Taking taylor expansion of -1 in x 9.340 * [backup-simplify]: Simplify -1 into -1 9.340 * [taylor]: Taking taylor expansion of x in x 9.340 * [backup-simplify]: Simplify 0 into 0 9.340 * [backup-simplify]: Simplify 1 into 1 9.341 * [backup-simplify]: Simplify (/ -1 1) into -1 9.341 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.341 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 9.341 * [backup-simplify]: Simplify (pow (cos (/ -1 x)) 2) into (pow (cos (/ -1 x)) 2) 9.341 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 9.341 * [backup-simplify]: Simplify 0 into 0 9.342 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 9.342 * [backup-simplify]: Simplify 0 into 0 9.343 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 9.343 * [backup-simplify]: Simplify 0 into 0 9.344 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 9.344 * [backup-simplify]: Simplify 0 into 0 9.345 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 9.345 * [backup-simplify]: Simplify 0 into 0 9.347 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 9.347 * [backup-simplify]: Simplify 0 into 0 9.348 * [backup-simplify]: Simplify (pow (cos (/ -1 (/ 1 (- x)))) 2) into (pow (cos x) 2) 9.348 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2 1) 9.348 * [backup-simplify]: Simplify (* (cos x) (cos x)) into (pow (cos x) 2) 9.348 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 9.348 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 9.348 * [taylor]: Taking taylor expansion of (cos x) in x 9.348 * [taylor]: Taking taylor expansion of x in x 9.348 * [backup-simplify]: Simplify 0 into 0 9.348 * [backup-simplify]: Simplify 1 into 1 9.348 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 9.348 * [taylor]: Taking taylor expansion of (cos x) in x 9.348 * [taylor]: Taking taylor expansion of x in x 9.348 * [backup-simplify]: Simplify 0 into 0 9.348 * [backup-simplify]: Simplify 1 into 1 9.349 * [backup-simplify]: Simplify (* 1 1) into 1 9.349 * [backup-simplify]: Simplify 1 into 1 9.349 * [backup-simplify]: Simplify (+ 0) into 0 9.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.350 * [backup-simplify]: Simplify 0 into 0 9.351 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 9.352 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 9.352 * [backup-simplify]: Simplify -1 into -1 9.353 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 9.354 * [backup-simplify]: Simplify 0 into 0 9.357 * [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 9.359 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 9.359 * [backup-simplify]: Simplify 1/3 into 1/3 9.360 * [backup-simplify]: Simplify (+ (* 1/3 (pow x 4)) (+ (* -1 (pow x 2)) 1)) into (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) 9.360 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 9.360 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 9.360 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 9.360 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.360 * [taylor]: Taking taylor expansion of x in x 9.360 * [backup-simplify]: Simplify 0 into 0 9.360 * [backup-simplify]: Simplify 1 into 1 9.361 * [backup-simplify]: Simplify (/ 1 1) into 1 9.361 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.361 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 9.361 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.361 * [taylor]: Taking taylor expansion of x in x 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify 1 into 1 9.361 * [backup-simplify]: Simplify (/ 1 1) into 1 9.361 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.362 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 9.362 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 2) into (pow (cos (/ 1 x)) 2) 9.362 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 9.362 * [backup-simplify]: Simplify 0 into 0 9.363 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 9.363 * [backup-simplify]: Simplify 0 into 0 9.364 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 9.364 * [backup-simplify]: Simplify 0 into 0 9.365 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 9.365 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 9.367 * [backup-simplify]: Simplify 0 into 0 9.369 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 9.369 * [backup-simplify]: Simplify 0 into 0 9.370 * [backup-simplify]: Simplify (pow (cos (/ 1 (/ 1 x))) 2) into (pow (cos x) 2) 9.370 * [backup-simplify]: Simplify (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) into (pow (cos (/ -1 x)) 2) 9.370 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 9.370 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 9.370 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.370 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.370 * [taylor]: Taking taylor expansion of -1 in x 9.370 * [backup-simplify]: Simplify -1 into -1 9.370 * [taylor]: Taking taylor expansion of x in x 9.370 * [backup-simplify]: Simplify 0 into 0 9.370 * [backup-simplify]: Simplify 1 into 1 9.371 * [backup-simplify]: Simplify (/ -1 1) into -1 9.371 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.371 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 9.371 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.371 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.371 * [taylor]: Taking taylor expansion of -1 in x 9.371 * [backup-simplify]: Simplify -1 into -1 9.371 * [taylor]: Taking taylor expansion of x in x 9.371 * [backup-simplify]: Simplify 0 into 0 9.371 * [backup-simplify]: Simplify 1 into 1 9.371 * [backup-simplify]: Simplify (/ -1 1) into -1 9.371 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.372 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 9.372 * [backup-simplify]: Simplify (pow (cos (/ -1 x)) 2) into (pow (cos (/ -1 x)) 2) 9.372 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 9.372 * [backup-simplify]: Simplify 0 into 0 9.373 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 9.373 * [backup-simplify]: Simplify 0 into 0 9.373 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 9.374 * [backup-simplify]: Simplify 0 into 0 9.375 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 9.375 * [backup-simplify]: Simplify 0 into 0 9.377 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 9.377 * [backup-simplify]: Simplify 0 into 0 9.379 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 9.379 * [backup-simplify]: Simplify 0 into 0 9.380 * [backup-simplify]: Simplify (pow (cos (/ -1 (/ 1 (- x)))) 2) into (pow (cos x) 2) 9.380 * * * [progress]: simplifying candidates 9.383 * [simplify]: Simplifying: (fma (* 1.0 1.0) 1.0 (- (* (cos x) (* (cos x) (cos x))))) (fma (- (cos x)) (* (cos x) (cos x)) (* (cos x) (* (cos x) (cos x)))) (expm1 (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (log1p (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (- (* (* (cos x) (cos x)) (cos x))) (/ (exp (* (* 1.0 1.0) 1.0)) (exp (* (* (cos x) (cos x)) (cos x)))) (log (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (exp (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (* (cbrt (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (cbrt (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x))))) (cbrt (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (* (* (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x))) (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (sqrt (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (sqrt (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- 1.0 (cos x)) (- (pow (* (* 1.0 1.0) 1.0) 3) (pow (* (* (cos x) (cos x)) (cos x)) 3)) (+ (* (* (* 1.0 1.0) 1.0) (* (* 1.0 1.0) 1.0)) (+ (* (* (* (cos x) (cos x)) (cos x)) (* (* (cos x) (cos x)) (cos x))) (* (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x))))) (- (* (* (cos x) (cos x)) (cos x))) (- (* (* (* 1.0 1.0) 1.0) (* (* 1.0 1.0) 1.0)) (* (* (* (cos x) (cos x)) (cos x)) (* (* (cos x) (cos x)) (cos x)))) (+ (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x))) (- (* (* (cos x) (cos x)) (cos x))) (expm1 (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (log1p (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (exp (* (cos x) (cos x))) (exp (* 1.0 (cos x)))) (log (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (exp (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (* (+ (* (cos x) (cos x)) (* 1.0 (cos x))) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sqrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sqrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (+ (pow (* (cos x) (cos x)) 3) (pow (* 1.0 (cos x)) 3)) (+ (* (* (cos x) (cos x)) (* (cos x) (cos x))) (- (* (* 1.0 (cos x)) (* 1.0 (cos x))) (* (* (cos x) (cos x)) (* 1.0 (cos x))))) (- (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (* 1.0 (cos x)) (* 1.0 (cos x)))) (- (* (cos x) (cos x)) (* 1.0 (cos x))) (+ (cos x) 1.0) (+ (* 1/2 (cos (* 2 x))) (* 1.0 (cos x))) (expm1 (* (cos x) (cos x))) (log1p (* (cos x) (cos x))) (* 1/2 (cos (* 2 x))) (+ (cos (+ x x)) (cos (- x x))) (+ 1 1) (* (cos x) (cos x)) (+ 1 1) (+ (log (cos x)) (log (cos x))) (log (* (cos x) (cos x))) (exp (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (cos x)) (* (* (cos x) (cos x)) (cos x))) (* (cbrt (* (cos x) (cos x))) (cbrt (* (cos x) (cos x)))) (cbrt (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (cos x) (cos x))) (sqrt (* (cos x) (cos x))) (sqrt (* (cos x) (cos x))) (* (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x)))) (* (cbrt (cos x)) (cbrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* 1 1) (* (cos x) (cos x)) (* (sqrt (cos x)) (sqrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* 2 1) (* (cos x) (* (cbrt (cos x)) (cbrt (cos x)))) (* (cos x) (sqrt (cos x))) (* (cos x) 1) (* (cbrt (cos x)) (cos x)) (* (sqrt (cos x)) (cos x)) (* (cos x) (cos x)) (expm1 (* (cos x) (cos x))) (log1p (* (cos x) (cos x))) (* 1/2 (cos (* 2 x))) (+ (cos (+ x x)) (cos (- x x))) (+ 1 1) (* (cos x) (cos x)) (+ 1 1) (+ (log (cos x)) (log (cos x))) (log (* (cos x) (cos x))) (exp (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (cos x)) (* (* (cos x) (cos x)) (cos x))) (* (cbrt (* (cos x) (cos x))) (cbrt (* (cos x) (cos x)))) (cbrt (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (cos x) (cos x))) (sqrt (* (cos x) (cos x))) (sqrt (* (cos x) (cos x))) (* (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x)))) (* (cbrt (cos x)) (cbrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* 1 1) (* (cos x) (cos x)) (* (sqrt (cos x)) (sqrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* 2 1) (* (cos x) (* (cbrt (cos x)) (cbrt (cos x)))) (* (cos x) (sqrt (cos x))) (* (cos x) 1) (* (cbrt (cos x)) (cos x)) (* (sqrt (cos x)) (cos x)) (* (cos x) (cos x)) (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- (+ (* 0.375 (pow x 4)) 2.0) (* 1.5 (pow x 2))) (+ (* 1.0 (cos x)) (pow (cos x) 2)) (+ (* 1.0 (cos x)) (pow (cos x) 2)) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) 9.385 * * [simplify]: iteration 0: 126 enodes 9.417 * * [simplify]: iteration 1: 377 enodes 9.702 * * [simplify]: iteration 2: 2793 enodes 11.954 * * [simplify]: iteration complete: 5000 enodes 11.954 * * [simplify]: Extracting #0: cost 55 inf + 0 11.958 * * [simplify]: Extracting #1: cost 898 inf + 2 11.969 * * [simplify]: Extracting #2: cost 910 inf + 30320 12.019 * * [simplify]: Extracting #3: cost 174 inf + 157308 12.093 * * [simplify]: Extracting #4: cost 18 inf + 189682 12.164 * * [simplify]: Extracting #5: cost 0 inf + 194667 12.258 * [simplify]: Simplified to: (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x)))) (+ (- (* (cos x) (* (cos x) (cos x)))) (* (cos x) (* (cos x) (cos x)))) (expm1 (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x))))) (log1p (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x))))) (- (* (cos x) (* (cos x) (cos x)))) (exp (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x))))) (log (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x))))) (exp (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x))))) (* (cbrt (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x))))) (cbrt (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x)))))) (cbrt (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x))))) (* (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x)))) (* (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x)))) (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x)))))) (sqrt (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x))))) (sqrt (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x))))) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- 1.0 (cos x)) (- (* (* (* 1.0 (* 1.0 1.0)) (* 1.0 (* 1.0 1.0))) (* 1.0 (* 1.0 1.0))) (* (* (cos x) (* (cos x) (cos x))) (* (* (cos x) (* (cos x) (cos x))) (* (cos x) (* (cos x) (cos x)))))) (fma (fma (cos x) (* (cos x) (cos x)) (* 1.0 (* 1.0 1.0))) (* (cos x) (* (cos x) (cos x))) (* (* 1.0 (* 1.0 1.0)) (* 1.0 (* 1.0 1.0)))) (- (* (cos x) (* (cos x) (cos x)))) (- (* (* 1.0 (* 1.0 1.0)) (* 1.0 (* 1.0 1.0))) (* (* (cos x) (* (cos x) (cos x))) (* (cos x) (* (cos x) (cos x))))) (fma (cos x) (* (cos x) (cos x)) (* 1.0 (* 1.0 1.0))) (- (* (cos x) (* (cos x) (cos x)))) (expm1 (* (+ 1.0 (cos x)) (cos x))) (log1p (* (+ 1.0 (cos x)) (cos x))) (exp (* (+ 1.0 (cos x)) (cos x))) (log (* (+ 1.0 (cos x)) (cos x))) (exp (* (+ 1.0 (cos x)) (cos x))) (* (cbrt (* (+ 1.0 (cos x)) (cos x))) (cbrt (* (+ 1.0 (cos x)) (cos x)))) (cbrt (* (+ 1.0 (cos x)) (cos x))) (* (* (* (+ 1.0 (cos x)) (cos x)) (* (+ 1.0 (cos x)) (cos x))) (* (+ 1.0 (cos x)) (cos x))) (sqrt (* (+ 1.0 (cos x)) (cos x))) (sqrt (* (+ 1.0 (cos x)) (cos x))) (* (* (cos x) (* (cos x) (cos x))) (fma (* 1.0 1.0) 1.0 (* (cos x) (* (cos x) (cos x))))) (fma (* (cos x) (- 1.0 (cos x))) (* 1.0 (cos x)) (* (* (cos x) (cos x)) (* (cos x) (cos x)))) (- (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (* 1.0 (cos x)) (* 1.0 (cos x)))) (* (- (cos x) 1.0) (cos x)) (+ 1.0 (cos x)) (fma (cos x) 1.0 (* (cos (+ x x)) 1/2)) (expm1 (* (cos x) (cos x))) (log1p (* (cos x) (cos x))) (* (cos (+ x x)) 1/2) (+ 1 (cos (+ x x))) 2 (* (cos x) (cos x)) 2 (log (* (cos x) (cos x))) (log (* (cos x) (cos x))) (exp (* (cos x) (cos x))) (* (* (cos x) (* (cos x) (cos x))) (* (cos x) (* (cos x) (cos x)))) (* (cbrt (* (cos x) (cos x))) (cbrt (* (cos x) (cos x)))) (cbrt (* (cos x) (cos x))) (* (* (cos x) (* (cos x) (cos x))) (* (cos x) (* (cos x) (cos x)))) (fabs (cos x)) (fabs (cos x)) (* (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x)))) (* (cbrt (cos x)) (cbrt (cos x))) (cos x) (cos x) 1 (* (cos x) (cos x)) (cos x) (cos x) 2 (* (cbrt (cos x)) (* (cos x) (cbrt (cos x)))) (* (sqrt (cos x)) (cos x)) (cos x) (* (cos x) (cbrt (cos x))) (* (sqrt (cos x)) (cos x)) (* (cos x) (cos x)) (expm1 (* (cos x) (cos x))) (log1p (* (cos x) (cos x))) (* (cos (+ x x)) 1/2) (+ 1 (cos (+ x x))) 2 (* (cos x) (cos x)) 2 (log (* (cos x) (cos x))) (log (* (cos x) (cos x))) (exp (* (cos x) (cos x))) (* (* (cos x) (* (cos x) (cos x))) (* (cos x) (* (cos x) (cos x)))) (* (cbrt (* (cos x) (cos x))) (cbrt (* (cos x) (cos x)))) (cbrt (* (cos x) (cos x))) (* (* (cos x) (* (cos x) (cos x))) (* (cos x) (* (cos x) (cos x)))) (fabs (cos x)) (fabs (cos x)) (* (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x)))) (* (cbrt (cos x)) (cbrt (cos x))) (cos x) (cos x) 1 (* (cos x) (cos x)) (cos x) (cos x) 2 (* (cbrt (cos x)) (* (cos x) (cbrt (cos x)))) (* (sqrt (cos x)) (cos x)) (cos x) (* (cos x) (cbrt (cos x))) (* (sqrt (cos x)) (cos x)) (* (cos x) (cos x)) (fma (* (* x x) (* x x)) -7/8 (fma 3/2 (* x x) (* (* 61/240 (* (* x x) x)) (* (* x x) x)))) (- 1.0 (* (cos x) (* (cos x) (cos x)))) (- 1.0 (* (cos x) (* (cos x) (cos x)))) (fma (* (* x x) (* x x)) 0.375 (- 2.0 (* 1.5 (* x x)))) (* (+ 1.0 (cos x)) (cos x)) (* (+ 1.0 (cos x)) (cos x)) (fma (* 1/3 (* x x)) (* x x) (- 1 (* x x))) (* (cos x) (cos x)) (* (cos x) (cos x)) (fma (* 1/3 (* x x)) (* x x) (- 1 (* x x))) (* (cos x) (cos x)) (* (cos x) (cos x)) 12.269 * * * [progress]: adding candidates to table 12.746 * [progress]: [Phase 3 of 3] Extracting. 12.746 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 12.750 * * * [regime-changes]: Trying 1 branch expressions: (x) 12.750 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 12.892 * * * [regime]: Found split indices: #