18.097 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.087 * * * [progress]: [2/2] Setting up program. 0.090 * [progress]: [Phase 2 of 3] Improving. 0.091 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.133 * * [progress]: iteration 1 / 4 0.134 * * * [progress]: picking best candidate 0.137 * * * * [pick]: Picked # 0.137 * * * [progress]: localizing error 0.186 * * * [progress]: generating rewritten candidates 0.186 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.229 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.245 * * * [progress]: generating series expansions 0.245 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.250 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.250 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.251 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.251 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [backup-simplify]: Simplify 1.0 into 1.0 0.251 * [taylor]: Taking taylor expansion of (cos x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (- 1) into -1 0.253 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.254 * [backup-simplify]: Simplify (+ 0) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.255 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.255 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.256 * [backup-simplify]: Simplify (* 1 1) into 1 0.256 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.256 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.256 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.256 * [taylor]: Taking taylor expansion of 1.0 in x 0.256 * [backup-simplify]: Simplify 1.0 into 1.0 0.256 * [taylor]: Taking taylor expansion of (cos x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (- 1) into -1 0.257 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.257 * [backup-simplify]: Simplify (+ 0) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.258 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.258 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.258 * [backup-simplify]: Simplify (* 1 1) into 1 0.259 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.259 * [backup-simplify]: Simplify 1/2 into 1/2 0.260 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.263 * [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 0.263 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.264 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.265 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.265 * [backup-simplify]: Simplify -1/24 into -1/24 0.266 * [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 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.271 * [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 0.271 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.271 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.273 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.273 * [backup-simplify]: Simplify 1/720 into 1/720 0.274 * [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))) 0.274 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 0.274 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.274 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [backup-simplify]: Simplify 1.0 into 1.0 0.275 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.275 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.275 * [backup-simplify]: Simplify 1.0 into 1.0 0.275 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.276 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.277 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.277 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.277 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.307 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 0.307 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.307 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.307 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.307 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * [backup-simplify]: Simplify 1.0 into 1.0 0.307 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.307 * [taylor]: Taking taylor expansion of -1 in x 0.308 * [backup-simplify]: Simplify -1 into -1 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ -1 1) into -1 0.308 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.308 * [backup-simplify]: Simplify 1.0 into 1.0 0.308 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.308 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.308 * [taylor]: Taking taylor expansion of -1 in x 0.309 * [backup-simplify]: Simplify -1 into -1 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ -1 1) into -1 0.309 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.310 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 0.310 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [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 1)))))) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.325 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.328 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.328 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.328 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [backup-simplify]: Simplify 1.0 into 1.0 0.328 * [taylor]: Taking taylor expansion of (cos x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.329 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [backup-simplify]: Simplify 1.0 into 1.0 0.329 * [taylor]: Taking taylor expansion of (cos x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (- 1) into -1 0.330 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (+ 0) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.332 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.332 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.332 * [backup-simplify]: Simplify 1/2 into 1/2 0.334 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.337 * [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 0.338 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.338 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.338 * [backup-simplify]: Simplify -1/24 into -1/24 0.340 * [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 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.346 * [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 0.347 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.347 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.347 * [backup-simplify]: Simplify 1/720 into 1/720 0.348 * [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))) 0.348 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.348 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.348 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [backup-simplify]: Simplify 1.0 into 1.0 0.348 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.349 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 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 (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.349 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.350 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.350 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.350 * [backup-simplify]: Simplify (- 0) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.352 * [backup-simplify]: Simplify (+ 0 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 0.353 * [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 (- 0) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.354 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.354 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.355 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.355 * [backup-simplify]: Simplify 1.0 into 1.0 0.355 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.355 * [taylor]: Taking taylor expansion of -1 in x 0.355 * [backup-simplify]: Simplify -1 into -1 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (/ -1 1) into -1 0.355 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.355 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.355 * [backup-simplify]: Simplify 1.0 into 1.0 0.355 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.355 * [taylor]: Taking taylor expansion of -1 in x 0.356 * [backup-simplify]: Simplify -1 into -1 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (/ -1 1) into -1 0.356 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.356 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.356 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.357 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 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 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.362 * * * [progress]: simplifying candidates 0.363 * [simplify]: Simplifying: (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 1.287 * * * [progress]: adding candidates to table 1.410 * * [progress]: iteration 2 / 4 1.410 * * * [progress]: picking best candidate 1.426 * * * * [pick]: Picked # 1.426 * * * [progress]: localizing error 1.435 * * * [progress]: generating rewritten candidates 1.435 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 1.442 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.485 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.507 * * * [progress]: generating series expansions 1.507 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 1.507 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.507 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.507 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.507 * [taylor]: Taking taylor expansion of 1.0 in x 1.507 * [backup-simplify]: Simplify 1.0 into 1.0 1.507 * [taylor]: Taking taylor expansion of (cos x) in x 1.507 * [taylor]: Taking taylor expansion of x in x 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 1 into 1 1.507 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.507 * [taylor]: Taking taylor expansion of 1.0 in x 1.507 * [backup-simplify]: Simplify 1.0 into 1.0 1.507 * [taylor]: Taking taylor expansion of (cos x) in x 1.507 * [taylor]: Taking taylor expansion of x in x 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify (- 1) into -1 1.508 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify (+ 0) into 0 1.509 * [backup-simplify]: Simplify (- 0) into 0 1.509 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.510 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.510 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.510 * [backup-simplify]: Simplify 1/2 into 1/2 1.511 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.511 * [backup-simplify]: Simplify (- 0) into 0 1.511 * [backup-simplify]: Simplify (+ 0 0) into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.513 * [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 1.513 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.513 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.513 * [backup-simplify]: Simplify -1/24 into -1/24 1.515 * [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 1.515 * [backup-simplify]: Simplify (- 0) into 0 1.515 * [backup-simplify]: Simplify (+ 0 0) into 0 1.515 * [backup-simplify]: Simplify 0 into 0 1.518 * [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 1.518 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.518 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.518 * [backup-simplify]: Simplify 1/720 into 1/720 1.519 * [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))) 1.519 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.519 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.519 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.519 * [taylor]: Taking taylor expansion of 1.0 in x 1.519 * [backup-simplify]: Simplify 1.0 into 1.0 1.519 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.519 * [taylor]: Taking taylor expansion of x in x 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.519 * [backup-simplify]: Simplify (/ 1 1) into 1 1.520 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.520 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.520 * [taylor]: Taking taylor expansion of 1.0 in x 1.520 * [backup-simplify]: Simplify 1.0 into 1.0 1.520 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.520 * [taylor]: Taking taylor expansion of x in x 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 1 into 1 1.520 * [backup-simplify]: Simplify (/ 1 1) into 1 1.520 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.520 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.520 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.520 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.520 * [backup-simplify]: Simplify (- 0) into 0 1.521 * [backup-simplify]: Simplify (+ 0 0) into 0 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify (- 0) into 0 1.521 * [backup-simplify]: Simplify (+ 0 0) into 0 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify (- 0) into 0 1.522 * [backup-simplify]: Simplify (+ 0 0) into 0 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify (- 0) into 0 1.522 * [backup-simplify]: Simplify (+ 0 0) into 0 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify (- 0) into 0 1.523 * [backup-simplify]: Simplify (+ 0 0) into 0 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify (- 0) into 0 1.523 * [backup-simplify]: Simplify (+ 0 0) into 0 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.523 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.523 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.523 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.523 * [taylor]: Taking taylor expansion of 1.0 in x 1.523 * [backup-simplify]: Simplify 1.0 into 1.0 1.523 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.523 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.523 * [taylor]: Taking taylor expansion of -1 in x 1.523 * [backup-simplify]: Simplify -1 into -1 1.523 * [taylor]: Taking taylor expansion of x in x 1.523 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 1 into 1 1.524 * [backup-simplify]: Simplify (/ -1 1) into -1 1.524 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.524 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.524 * [taylor]: Taking taylor expansion of 1.0 in x 1.524 * [backup-simplify]: Simplify 1.0 into 1.0 1.524 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.524 * [taylor]: Taking taylor expansion of -1 in x 1.524 * [backup-simplify]: Simplify -1 into -1 1.524 * [taylor]: Taking taylor expansion of x in x 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 1 into 1 1.524 * [backup-simplify]: Simplify (/ -1 1) into -1 1.524 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.524 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.525 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.525 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.525 * [backup-simplify]: Simplify (- 0) into 0 1.525 * [backup-simplify]: Simplify (+ 0 0) into 0 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify (- 0) into 0 1.526 * [backup-simplify]: Simplify (+ 0 0) into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify (- 0) into 0 1.526 * [backup-simplify]: Simplify (+ 0 0) into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify (- 0) into 0 1.527 * [backup-simplify]: Simplify (+ 0 0) into 0 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify (- 0) into 0 1.527 * [backup-simplify]: Simplify (+ 0 0) into 0 1.527 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify (- 0) into 0 1.528 * [backup-simplify]: Simplify (+ 0 0) into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.528 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.528 * [backup-simplify]: Simplify (* (/ 1 x) (/ (- 1.0 (cos x)) x)) into (/ (- 1.0 (cos x)) (pow x 2)) 1.528 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 1.528 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.528 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.528 * [taylor]: Taking taylor expansion of 1.0 in x 1.528 * [backup-simplify]: Simplify 1.0 into 1.0 1.528 * [taylor]: Taking taylor expansion of (cos x) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 1 into 1 1.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 1 into 1 1.529 * [backup-simplify]: Simplify (- 1) into -1 1.529 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.529 * [backup-simplify]: Simplify (+ 0) into 0 1.529 * [backup-simplify]: Simplify (- 0) into 0 1.530 * [backup-simplify]: Simplify (+ 0 0) into 0 1.530 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.530 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.531 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.531 * [backup-simplify]: Simplify (* 1 1) into 1 1.531 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.531 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.531 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.531 * [taylor]: Taking taylor expansion of 1.0 in x 1.531 * [backup-simplify]: Simplify 1.0 into 1.0 1.531 * [taylor]: Taking taylor expansion of (cos x) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 1 into 1 1.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 1 into 1 1.532 * [backup-simplify]: Simplify (- 1) into -1 1.532 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.532 * [backup-simplify]: Simplify (+ 0) into 0 1.532 * [backup-simplify]: Simplify (- 0) into 0 1.532 * [backup-simplify]: Simplify (+ 0 0) into 0 1.533 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.533 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.534 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.534 * [backup-simplify]: Simplify (* 1 1) into 1 1.534 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.534 * [backup-simplify]: Simplify 1/2 into 1/2 1.535 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.535 * [backup-simplify]: Simplify (- 0) into 0 1.535 * [backup-simplify]: Simplify (+ 0 0) into 0 1.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.540 * [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 1.540 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.541 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.543 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 1.543 * [backup-simplify]: Simplify -1/24 into -1/24 1.545 * [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 1.546 * [backup-simplify]: Simplify (- 0) into 0 1.546 * [backup-simplify]: Simplify (+ 0 0) into 0 1.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.554 * [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 1.554 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.555 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.557 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 1.557 * [backup-simplify]: Simplify 1/720 into 1/720 1.558 * [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))) 1.558 * [backup-simplify]: Simplify (* (/ 1 (/ 1 x)) (/ (- 1.0 (cos (/ 1 x))) (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 1.558 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.558 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 1 into 1 1.558 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.558 * [taylor]: Taking taylor expansion of 1.0 in x 1.558 * [backup-simplify]: Simplify 1.0 into 1.0 1.558 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 1 into 1 1.559 * [backup-simplify]: Simplify (/ 1 1) into 1 1.559 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.559 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.559 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 1 into 1 1.559 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.559 * [taylor]: Taking taylor expansion of 1.0 in x 1.559 * [backup-simplify]: Simplify 1.0 into 1.0 1.559 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 1 into 1 1.560 * [backup-simplify]: Simplify (/ 1 1) into 1 1.560 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.560 * [backup-simplify]: Simplify (* 1 1) into 1 1.561 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.561 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.561 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.561 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.561 * [backup-simplify]: Simplify (- 0) into 0 1.562 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify (- 0) into 0 1.564 * [backup-simplify]: Simplify (+ 0 0) into 0 1.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify (- 0) into 0 1.566 * [backup-simplify]: Simplify (+ 0 0) into 0 1.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify (- 0) into 0 1.569 * [backup-simplify]: Simplify (+ 0 0) into 0 1.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify (- 0) into 0 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (- 0) into 0 1.583 * [backup-simplify]: Simplify (+ 0 0) into 0 1.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 1.588 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- x))) (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 1.588 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 1.588 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.588 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.588 * [taylor]: Taking taylor expansion of 1.0 in x 1.588 * [backup-simplify]: Simplify 1.0 into 1.0 1.588 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.588 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.588 * [taylor]: Taking taylor expansion of -1 in x 1.588 * [backup-simplify]: Simplify -1 into -1 1.588 * [taylor]: Taking taylor expansion of x in x 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 1 into 1 1.589 * [backup-simplify]: Simplify (/ -1 1) into -1 1.589 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.589 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.589 * [taylor]: Taking taylor expansion of 1.0 in x 1.589 * [backup-simplify]: Simplify 1.0 into 1.0 1.589 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.589 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.589 * [taylor]: Taking taylor expansion of -1 in x 1.589 * [backup-simplify]: Simplify -1 into -1 1.589 * [taylor]: Taking taylor expansion of x in x 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.590 * [backup-simplify]: Simplify (/ -1 1) into -1 1.590 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.590 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.590 * [taylor]: Taking taylor expansion of x in x 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.590 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.590 * [backup-simplify]: Simplify (* 1 1) into 1 1.591 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 1.591 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.592 * [backup-simplify]: Simplify (- 0) into 0 1.592 * [backup-simplify]: Simplify (+ 0 0) into 0 1.593 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 1.593 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.594 * [backup-simplify]: Simplify (- 0) into 0 1.595 * [backup-simplify]: Simplify (+ 0 0) into 0 1.595 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (- 0) into 0 1.597 * [backup-simplify]: Simplify (+ 0 0) into 0 1.598 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.600 * [backup-simplify]: Simplify (- 0) into 0 1.600 * [backup-simplify]: Simplify (+ 0 0) into 0 1.602 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.603 * [backup-simplify]: Simplify (- 0) into 0 1.604 * [backup-simplify]: Simplify (+ 0 0) into 0 1.605 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.607 * [backup-simplify]: Simplify (- 0) into 0 1.608 * [backup-simplify]: Simplify (+ 0 0) into 0 1.609 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 1.610 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.610 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 1.610 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 1.610 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.610 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.610 * [taylor]: Taking taylor expansion of 1.0 in x 1.610 * [backup-simplify]: Simplify 1.0 into 1.0 1.610 * [taylor]: Taking taylor expansion of (cos x) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.611 * [backup-simplify]: Simplify (- 1) into -1 1.611 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.613 * [backup-simplify]: Simplify (+ 0) into 0 1.613 * [backup-simplify]: Simplify (- 0) into 0 1.614 * [backup-simplify]: Simplify (+ 0 0) into 0 1.615 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.615 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.616 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.616 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.616 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.616 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.616 * [taylor]: Taking taylor expansion of 1.0 in x 1.616 * [backup-simplify]: Simplify 1.0 into 1.0 1.616 * [taylor]: Taking taylor expansion of (cos x) in x 1.616 * [taylor]: Taking taylor expansion of x in x 1.616 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.617 * [taylor]: Taking taylor expansion of x in x 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.617 * [backup-simplify]: Simplify (- 1) into -1 1.617 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.618 * [backup-simplify]: Simplify (+ 0) into 0 1.618 * [backup-simplify]: Simplify (- 0) into 0 1.618 * [backup-simplify]: Simplify (+ 0 0) into 0 1.619 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.620 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.620 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.621 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.621 * [backup-simplify]: Simplify 1/2 into 1/2 1.622 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.622 * [backup-simplify]: Simplify (- 0) into 0 1.623 * [backup-simplify]: Simplify (+ 0 0) into 0 1.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.627 * [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 1.627 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.627 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.629 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 1.629 * [backup-simplify]: Simplify -1/24 into -1/24 1.631 * [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 1.632 * [backup-simplify]: Simplify (- 0) into 0 1.632 * [backup-simplify]: Simplify (+ 0 0) into 0 1.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 1.633 * [backup-simplify]: Simplify 0 into 0 1.639 * [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 1.639 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.640 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.641 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 1.641 * [backup-simplify]: Simplify 1/720 into 1/720 1.642 * [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))) 1.642 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* x (- 1.0 (cos (/ 1 x)))) 1.642 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.642 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 1.642 * [taylor]: Taking taylor expansion of x in x 1.642 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify 1 into 1 1.643 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.643 * [taylor]: Taking taylor expansion of 1.0 in x 1.643 * [backup-simplify]: Simplify 1.0 into 1.0 1.643 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.643 * [taylor]: Taking taylor expansion of x in x 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.643 * [backup-simplify]: Simplify (/ 1 1) into 1 1.643 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.643 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 1.643 * [taylor]: Taking taylor expansion of x in x 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.643 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.643 * [taylor]: Taking taylor expansion of 1.0 in x 1.643 * [backup-simplify]: Simplify 1.0 into 1.0 1.644 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.644 * [taylor]: Taking taylor expansion of x in x 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (/ 1 1) into 1 1.644 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.644 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.644 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.644 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify (- 0) into 0 1.645 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 1.646 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.646 * [backup-simplify]: Simplify (- 0) into 0 1.647 * [backup-simplify]: Simplify (+ 0 0) into 0 1.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (- 0) into 0 1.648 * [backup-simplify]: Simplify (+ 0 0) into 0 1.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify (- 0) into 0 1.650 * [backup-simplify]: Simplify (+ 0 0) into 0 1.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify (- 0) into 0 1.652 * [backup-simplify]: Simplify (+ 0 0) into 0 1.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (- 0) into 0 1.655 * [backup-simplify]: Simplify (+ 0 0) into 0 1.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify (- 0) into 0 1.658 * [backup-simplify]: Simplify (+ 0 0) into 0 1.661 * [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 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 1.661 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* (- 1.0 (cos (/ -1 x))) x)) 1.661 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 1.661 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 1.661 * [taylor]: Taking taylor expansion of -1 in x 1.661 * [backup-simplify]: Simplify -1 into -1 1.661 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 1.661 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.661 * [taylor]: Taking taylor expansion of 1.0 in x 1.661 * [backup-simplify]: Simplify 1.0 into 1.0 1.662 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.662 * [taylor]: Taking taylor expansion of -1 in x 1.662 * [backup-simplify]: Simplify -1 into -1 1.662 * [taylor]: Taking taylor expansion of x in x 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (/ -1 1) into -1 1.662 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.662 * [taylor]: Taking taylor expansion of x in x 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 1.662 * [taylor]: Taking taylor expansion of -1 in x 1.662 * [backup-simplify]: Simplify -1 into -1 1.662 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 1.662 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.663 * [taylor]: Taking taylor expansion of 1.0 in x 1.663 * [backup-simplify]: Simplify 1.0 into 1.0 1.663 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.663 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.663 * [taylor]: Taking taylor expansion of -1 in x 1.663 * [backup-simplify]: Simplify -1 into -1 1.663 * [taylor]: Taking taylor expansion of x in x 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (/ -1 1) into -1 1.663 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.663 * [taylor]: Taking taylor expansion of x in x 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.664 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.664 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 1.664 * [backup-simplify]: Simplify (* -1 0) into 0 1.664 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify (- 0) into 0 1.665 * [backup-simplify]: Simplify (+ 0 0) into 0 1.666 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 1.666 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 1.666 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 1.667 * [backup-simplify]: Simplify (- 0) into 0 1.667 * [backup-simplify]: Simplify (+ 0 0) into 0 1.668 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 1.669 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify (- 0) into 0 1.670 * [backup-simplify]: Simplify (+ 0 0) into 0 1.671 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.672 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify (- 0) into 0 1.673 * [backup-simplify]: Simplify (+ 0 0) into 0 1.674 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.675 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify (- 0) into 0 1.676 * [backup-simplify]: Simplify (+ 0 0) into 0 1.677 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.679 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify (- 0) into 0 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.681 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.683 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify (- 0) into 0 1.684 * [backup-simplify]: Simplify (+ 0 0) into 0 1.686 * [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 1.689 * [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 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 1.689 * * * [progress]: simplifying candidates 1.693 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (+ (- (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- 0 (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- 0 (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- (log 1) (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log 1) (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (log (/ 1 x)) (- (log (- 1.0 (cos x))) (log x))) (+ (log (/ 1 x)) (log (/ (- 1.0 (cos x)) x))) (log (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (exp (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x)))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* 1 (- 1.0 (cos x))) (* x x) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x)))) (* (/ 1 x) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) 1) (* (/ 1 x) (- 1.0 (cos x))) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ 1 (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (- 1.0 (cos x))) (* 1 (/ (- 1.0 (cos x)) x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) 2.769 * * * [progress]: adding candidates to table 3.119 * * [progress]: iteration 3 / 4 3.119 * * * [progress]: picking best candidate 3.140 * * * * [pick]: Picked # 3.140 * * * [progress]: localizing error 3.150 * * * [progress]: generating rewritten candidates 3.150 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 3.201 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 3.379 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 3.405 * * * [progress]: generating series expansions 3.405 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 3.406 * [backup-simplify]: Simplify (- (/ 1.0 x) (/ (cos x) x)) into (- (* 1.0 (/ 1 x)) (/ (cos x) x)) 3.406 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in (x) around 0 3.406 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 3.406 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 3.406 * [taylor]: Taking taylor expansion of 1.0 in x 3.406 * [backup-simplify]: Simplify 1.0 into 1.0 3.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.406 * [taylor]: Taking taylor expansion of x in x 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 1 into 1 3.407 * [backup-simplify]: Simplify (/ 1 1) into 1 3.407 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 3.407 * [taylor]: Taking taylor expansion of (cos x) in x 3.407 * [taylor]: Taking taylor expansion of x in x 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 1 into 1 3.410 * [taylor]: Taking taylor expansion of x in x 3.411 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify 1 into 1 3.411 * [backup-simplify]: Simplify (/ 1 1) into 1 3.411 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 3.411 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 3.411 * [taylor]: Taking taylor expansion of 1.0 in x 3.412 * [backup-simplify]: Simplify 1.0 into 1.0 3.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.412 * [taylor]: Taking taylor expansion of x in x 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 1 into 1 3.412 * [backup-simplify]: Simplify (/ 1 1) into 1 3.412 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 3.412 * [taylor]: Taking taylor expansion of (cos x) in x 3.412 * [taylor]: Taking taylor expansion of x in x 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 1 into 1 3.412 * [taylor]: Taking taylor expansion of x in x 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 1 into 1 3.413 * [backup-simplify]: Simplify (/ 1 1) into 1 3.413 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.414 * [backup-simplify]: Simplify (- 1) into -1 3.414 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.414 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.416 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 3.416 * [backup-simplify]: Simplify (+ 0) into 0 3.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.417 * [backup-simplify]: Simplify (- 0) into 0 3.418 * [backup-simplify]: Simplify (+ 0 0) into 0 3.418 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.419 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 3.421 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.422 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 3.422 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.422 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.422 * [backup-simplify]: Simplify 1/2 into 1/2 3.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.424 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.426 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 3.427 * [backup-simplify]: Simplify (- 0) into 0 3.428 * [backup-simplify]: Simplify (+ 0 0) into 0 3.428 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.433 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.434 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 3.434 * [backup-simplify]: Simplify (- 1/24) into -1/24 3.435 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 3.435 * [backup-simplify]: Simplify -1/24 into -1/24 3.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.437 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.440 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 3.441 * [backup-simplify]: Simplify (- 0) into 0 3.442 * [backup-simplify]: Simplify (+ 0 0) into 0 3.442 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.444 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.450 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 3.452 * [backup-simplify]: Simplify (- (/ -1/720 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into -1/720 3.452 * [backup-simplify]: Simplify (- -1/720) into 1/720 3.452 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 3.452 * [backup-simplify]: Simplify 1/720 into 1/720 3.453 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 3.453 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 x)) (/ (cos (/ 1 x)) (/ 1 x))) into (- (* 1.0 x) (* x (cos (/ 1 x)))) 3.453 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in (x) around 0 3.453 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 3.453 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.453 * [taylor]: Taking taylor expansion of 1.0 in x 3.453 * [backup-simplify]: Simplify 1.0 into 1.0 3.453 * [taylor]: Taking taylor expansion of x in x 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify 1 into 1 3.454 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 3.454 * [taylor]: Taking taylor expansion of x in x 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify 1 into 1 3.454 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.454 * [taylor]: Taking taylor expansion of x in x 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify 1 into 1 3.454 * [backup-simplify]: Simplify (/ 1 1) into 1 3.454 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.454 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 3.454 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.454 * [taylor]: Taking taylor expansion of 1.0 in x 3.454 * [backup-simplify]: Simplify 1.0 into 1.0 3.454 * [taylor]: Taking taylor expansion of x in x 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify 1 into 1 3.455 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 3.455 * [taylor]: Taking taylor expansion of x in x 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 1 into 1 3.455 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.455 * [taylor]: Taking taylor expansion of x in x 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 1 into 1 3.455 * [backup-simplify]: Simplify (/ 1 1) into 1 3.455 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.456 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.456 * [backup-simplify]: Simplify (* 0 (cos (/ 1 x))) into 0 3.456 * [backup-simplify]: Simplify (- 0) into 0 3.457 * [backup-simplify]: Simplify (+ 0 0) into 0 3.457 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.459 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1 x)))) into (cos (/ 1 x)) 3.459 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 3.459 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.459 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.460 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1 x))))) into 0 3.461 * [backup-simplify]: Simplify (- 0) into 0 3.461 * [backup-simplify]: Simplify (+ 0 0) into 0 3.461 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 3.464 * [backup-simplify]: Simplify (- 0) into 0 3.464 * [backup-simplify]: Simplify (+ 0 0) into 0 3.464 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 3.468 * [backup-simplify]: Simplify (- 0) into 0 3.468 * [backup-simplify]: Simplify (+ 0 0) into 0 3.468 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 3.472 * [backup-simplify]: Simplify (- 0) into 0 3.472 * [backup-simplify]: Simplify (+ 0 0) into 0 3.472 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 3.476 * [backup-simplify]: Simplify (- 0) into 0 3.476 * [backup-simplify]: Simplify (+ 0 0) into 0 3.477 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))))) into 0 3.481 * [backup-simplify]: Simplify (- 0) into 0 3.482 * [backup-simplify]: Simplify (+ 0 0) into 0 3.482 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 3.482 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- x))) (/ (cos (/ 1 (- x))) (/ 1 (- x)))) into (- (* x (cos (/ -1 x))) (* 1.0 x)) 3.482 * [approximate]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in (x) around 0 3.482 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 3.482 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 3.482 * [taylor]: Taking taylor expansion of x in x 3.482 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify 1 into 1 3.482 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.482 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.482 * [taylor]: Taking taylor expansion of -1 in x 3.482 * [backup-simplify]: Simplify -1 into -1 3.482 * [taylor]: Taking taylor expansion of x in x 3.482 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 1 into 1 3.483 * [backup-simplify]: Simplify (/ -1 1) into -1 3.483 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.483 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.483 * [taylor]: Taking taylor expansion of 1.0 in x 3.483 * [backup-simplify]: Simplify 1.0 into 1.0 3.483 * [taylor]: Taking taylor expansion of x in x 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 1 into 1 3.483 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 3.483 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 3.483 * [taylor]: Taking taylor expansion of x in x 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 1 into 1 3.483 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.483 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.483 * [taylor]: Taking taylor expansion of -1 in x 3.484 * [backup-simplify]: Simplify -1 into -1 3.484 * [taylor]: Taking taylor expansion of x in x 3.484 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify 1 into 1 3.484 * [backup-simplify]: Simplify (/ -1 1) into -1 3.484 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.484 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.484 * [taylor]: Taking taylor expansion of 1.0 in x 3.484 * [backup-simplify]: Simplify 1.0 into 1.0 3.484 * [taylor]: Taking taylor expansion of x in x 3.484 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify 1 into 1 3.485 * [backup-simplify]: Simplify (* 0 (cos (/ -1 x))) into 0 3.485 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.485 * [backup-simplify]: Simplify (- 0) into 0 3.486 * [backup-simplify]: Simplify (+ 0 0) into 0 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ -1 x)))) into (cos (/ -1 x)) 3.488 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.488 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.488 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) (- 1.0)) into (- (cos (/ -1 x)) 1.0) 3.488 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 3.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ -1 x))))) into 0 3.490 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.491 * [backup-simplify]: Simplify (- 0) into 0 3.491 * [backup-simplify]: Simplify (+ 0 0) into 0 3.491 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 3.493 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.494 * [backup-simplify]: Simplify (- 0) into 0 3.494 * [backup-simplify]: Simplify (+ 0 0) into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 3.497 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.497 * [backup-simplify]: Simplify (- 0) into 0 3.497 * [backup-simplify]: Simplify (+ 0 0) into 0 3.497 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 3.501 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.501 * [backup-simplify]: Simplify (- 0) into 0 3.501 * [backup-simplify]: Simplify (+ 0 0) into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 3.505 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.506 * [backup-simplify]: Simplify (- 0) into 0 3.506 * [backup-simplify]: Simplify (+ 0 0) into 0 3.506 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))))) into 0 3.511 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.511 * [backup-simplify]: Simplify (- 0) into 0 3.512 * [backup-simplify]: Simplify (+ 0 0) into 0 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 3.512 * * * * [progress]: [ 2 / 3 ] generating series at (2) 3.512 * [backup-simplify]: Simplify (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) into (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) 3.513 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in (x) around 0 3.513 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 3.513 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 3.513 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 3.513 * [taylor]: Taking taylor expansion of 1.0 in x 3.513 * [backup-simplify]: Simplify 1.0 into 1.0 3.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.513 * [taylor]: Taking taylor expansion of x in x 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 1 into 1 3.513 * [backup-simplify]: Simplify (/ 1 1) into 1 3.513 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 3.513 * [taylor]: Taking taylor expansion of (cos x) in x 3.513 * [taylor]: Taking taylor expansion of x in x 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 1 into 1 3.513 * [taylor]: Taking taylor expansion of x in x 3.513 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 1 into 1 3.514 * [backup-simplify]: Simplify (/ 1 1) into 1 3.514 * [taylor]: Taking taylor expansion of x in x 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 1 into 1 3.514 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.515 * [backup-simplify]: Simplify (- 1) into -1 3.515 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.517 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 3.517 * [backup-simplify]: Simplify (+ 0) into 0 3.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.518 * [backup-simplify]: Simplify (- 0) into 0 3.518 * [backup-simplify]: Simplify (+ 0 0) into 0 3.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.520 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 3.521 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.523 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 3.523 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.523 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.524 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.524 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 3.524 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 3.524 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 3.524 * [taylor]: Taking taylor expansion of 1.0 in x 3.524 * [backup-simplify]: Simplify 1.0 into 1.0 3.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.524 * [taylor]: Taking taylor expansion of x in x 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify 1 into 1 3.525 * [backup-simplify]: Simplify (/ 1 1) into 1 3.525 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 3.525 * [taylor]: Taking taylor expansion of (cos x) in x 3.525 * [taylor]: Taking taylor expansion of x in x 3.525 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify 1 into 1 3.525 * [taylor]: Taking taylor expansion of x in x 3.525 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify 1 into 1 3.526 * [backup-simplify]: Simplify (/ 1 1) into 1 3.526 * [taylor]: Taking taylor expansion of x in x 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 1 into 1 3.526 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.526 * [backup-simplify]: Simplify (- 1) into -1 3.527 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.529 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 3.529 * [backup-simplify]: Simplify (+ 0) into 0 3.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.531 * [backup-simplify]: Simplify (- 0) into 0 3.531 * [backup-simplify]: Simplify (+ 0 0) into 0 3.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.533 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 3.534 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.535 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 3.536 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.536 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.536 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.537 * [backup-simplify]: Simplify 1/2 into 1/2 3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.538 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.540 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 3.541 * [backup-simplify]: Simplify (- 0) into 0 3.541 * [backup-simplify]: Simplify (+ 0 0) into 0 3.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.542 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.544 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.547 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.548 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 3.549 * [backup-simplify]: Simplify (- 1/24) into -1/24 3.549 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 3.550 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 3.551 * [backup-simplify]: Simplify -1/24 into -1/24 3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.559 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.562 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 3.564 * [backup-simplify]: Simplify (- 0) into 0 3.564 * [backup-simplify]: Simplify (+ 0 0) into 0 3.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.568 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.573 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 3.575 * [backup-simplify]: Simplify (- (/ -1/720 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into -1/720 3.576 * [backup-simplify]: Simplify (- -1/720) into 1/720 3.576 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 3.577 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 3.578 * [backup-simplify]: Simplify 1/720 into 1/720 3.578 * [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))) 3.578 * [backup-simplify]: Simplify (* (/ 1 (/ 1 x)) (- (/ 1.0 (/ 1 x)) (/ (cos (/ 1 x)) (/ 1 x)))) into (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) 3.578 * [approximate]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in (x) around 0 3.578 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 3.579 * [taylor]: Taking taylor expansion of x in x 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 1 into 1 3.579 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 3.579 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.579 * [taylor]: Taking taylor expansion of 1.0 in x 3.579 * [backup-simplify]: Simplify 1.0 into 1.0 3.579 * [taylor]: Taking taylor expansion of x in x 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 1 into 1 3.579 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 3.579 * [taylor]: Taking taylor expansion of x in x 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 1 into 1 3.579 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.579 * [taylor]: Taking taylor expansion of x in x 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 1 into 1 3.579 * [backup-simplify]: Simplify (/ 1 1) into 1 3.580 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.580 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 3.580 * [taylor]: Taking taylor expansion of x in x 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 1 into 1 3.580 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 3.580 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.580 * [taylor]: Taking taylor expansion of 1.0 in x 3.580 * [backup-simplify]: Simplify 1.0 into 1.0 3.580 * [taylor]: Taking taylor expansion of x in x 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 1 into 1 3.580 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 3.580 * [taylor]: Taking taylor expansion of x in x 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 1 into 1 3.580 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.580 * [taylor]: Taking taylor expansion of x in x 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 1 into 1 3.580 * [backup-simplify]: Simplify (/ 1 1) into 1 3.581 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.581 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.581 * [backup-simplify]: Simplify (* 0 (cos (/ 1 x))) into 0 3.581 * [backup-simplify]: Simplify (- 0) into 0 3.582 * [backup-simplify]: Simplify (+ 0 0) into 0 3.582 * [backup-simplify]: Simplify (* 0 0) into 0 3.582 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.584 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1 x)))) into (cos (/ 1 x)) 3.584 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 3.584 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.585 * [backup-simplify]: Simplify (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 1 0)) into 0 3.585 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1 x))))) into 0 3.587 * [backup-simplify]: Simplify (- 0) into 0 3.587 * [backup-simplify]: Simplify (+ 0 0) into 0 3.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 1.0 (cos (/ 1 x)))) (* 0 0))) into (- 1.0 (cos (/ 1 x))) 3.588 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.589 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 3.591 * [backup-simplify]: Simplify (- 0) into 0 3.591 * [backup-simplify]: Simplify (+ 0 0) into 0 3.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0)))) into 0 3.593 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 3.596 * [backup-simplify]: Simplify (- 0) into 0 3.596 * [backup-simplify]: Simplify (+ 0 0) into 0 3.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0))))) into 0 3.598 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 3.601 * [backup-simplify]: Simplify (- 0) into 0 3.602 * [backup-simplify]: Simplify (+ 0 0) into 0 3.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0)))))) into 0 3.603 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 3.606 * [backup-simplify]: Simplify (- 0) into 0 3.606 * [backup-simplify]: Simplify (+ 0 0) into 0 3.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0))))))) into 0 3.607 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))))) into 0 3.610 * [backup-simplify]: Simplify (- 0) into 0 3.610 * [backup-simplify]: Simplify (+ 0 0) into 0 3.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0)))))))) into 0 3.612 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 3.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))))) into 0 3.615 * [backup-simplify]: Simplify (- 0) into 0 3.615 * [backup-simplify]: Simplify (+ 0 0) into 0 3.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0))))))))) into 0 3.617 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 3.617 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- x))) (- (/ 1.0 (/ 1 (- x))) (/ (cos (/ 1 (- x))) (/ 1 (- x))))) into (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) 3.617 * [approximate]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in (x) around 0 3.617 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 3.618 * [taylor]: Taking taylor expansion of -1 in x 3.618 * [backup-simplify]: Simplify -1 into -1 3.618 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 3.618 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 3.618 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 3.618 * [taylor]: Taking taylor expansion of x in x 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.618 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.618 * [taylor]: Taking taylor expansion of -1 in x 3.618 * [backup-simplify]: Simplify -1 into -1 3.618 * [taylor]: Taking taylor expansion of x in x 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [backup-simplify]: Simplify (/ -1 1) into -1 3.618 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.618 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.618 * [taylor]: Taking taylor expansion of 1.0 in x 3.618 * [backup-simplify]: Simplify 1.0 into 1.0 3.618 * [taylor]: Taking taylor expansion of x in x 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [taylor]: Taking taylor expansion of x in x 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 3.618 * [taylor]: Taking taylor expansion of -1 in x 3.618 * [backup-simplify]: Simplify -1 into -1 3.619 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 3.619 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 3.619 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 3.619 * [taylor]: Taking taylor expansion of x in x 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 1 into 1 3.619 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.619 * [taylor]: Taking taylor expansion of -1 in x 3.619 * [backup-simplify]: Simplify -1 into -1 3.619 * [taylor]: Taking taylor expansion of x in x 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 1 into 1 3.619 * [backup-simplify]: Simplify (/ -1 1) into -1 3.619 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.619 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.619 * [taylor]: Taking taylor expansion of 1.0 in x 3.619 * [backup-simplify]: Simplify 1.0 into 1.0 3.619 * [taylor]: Taking taylor expansion of x in x 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 1 into 1 3.619 * [taylor]: Taking taylor expansion of x in x 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 1 into 1 3.619 * [backup-simplify]: Simplify (* 0 (cos (/ -1 x))) into 0 3.620 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.620 * [backup-simplify]: Simplify (- 0) into 0 3.620 * [backup-simplify]: Simplify (+ 0 0) into 0 3.620 * [backup-simplify]: Simplify (* 0 0) into 0 3.620 * [backup-simplify]: Simplify (* -1 0) into 0 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ -1 x)))) into (cos (/ -1 x)) 3.622 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.622 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.622 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) (- 1.0)) into (- (cos (/ -1 x)) 1.0) 3.622 * [backup-simplify]: Simplify (+ (* 0 1) (* (- (cos (/ -1 x)) 1.0) 0)) into 0 3.623 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ -1 x))))) into 0 3.624 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.624 * [backup-simplify]: Simplify (- 0) into 0 3.624 * [backup-simplify]: Simplify (+ 0 0) into 0 3.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (cos (/ -1 x)) 1.0) 1) (* 0 0))) into (- (cos (/ -1 x)) 1.0) 3.625 * [backup-simplify]: Simplify (+ (* -1 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0))) into (- 1.0 (cos (/ -1 x))) 3.625 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 3.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 3.627 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.627 * [backup-simplify]: Simplify (- 0) into 0 3.627 * [backup-simplify]: Simplify (+ 0 0) into 0 3.628 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (cos (/ -1 x)) 1.0) 0) (+ (* 0 1) (* 0 0)))) into 0 3.628 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0)))) into 0 3.628 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 3.630 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.630 * [backup-simplify]: Simplify (- 0) into 0 3.631 * [backup-simplify]: Simplify (+ 0 0) into 0 3.631 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.632 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0))))) into 0 3.632 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 3.634 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.635 * [backup-simplify]: Simplify (- 0) into 0 3.635 * [backup-simplify]: Simplify (+ 0 0) into 0 3.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.637 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0)))))) into 0 3.637 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 3.639 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.639 * [backup-simplify]: Simplify (- 0) into 0 3.640 * [backup-simplify]: Simplify (+ 0 0) into 0 3.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.642 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0))))))) into 0 3.642 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))))) into 0 3.645 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.645 * [backup-simplify]: Simplify (- 0) into 0 3.645 * [backup-simplify]: Simplify (+ 0 0) into 0 3.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.648 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0)))))))) into 0 3.648 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))))) into 0 3.650 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 3.651 * [backup-simplify]: Simplify (- 0) into 0 3.651 * [backup-simplify]: Simplify (+ 0 0) into 0 3.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 3.654 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0))))))))) into 0 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 3.654 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 3.654 * [backup-simplify]: Simplify (/ (cos x) x) into (/ (cos x) x) 3.654 * [approximate]: Taking taylor expansion of (/ (cos x) x) in (x) around 0 3.654 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 3.654 * [taylor]: Taking taylor expansion of (cos x) in x 3.654 * [taylor]: Taking taylor expansion of x in x 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 1 into 1 3.654 * [taylor]: Taking taylor expansion of x in x 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 1 into 1 3.655 * [backup-simplify]: Simplify (/ 1 1) into 1 3.655 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 3.655 * [taylor]: Taking taylor expansion of (cos x) in x 3.655 * [taylor]: Taking taylor expansion of x in x 3.655 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify 1 into 1 3.655 * [taylor]: Taking taylor expansion of x in x 3.655 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify 1 into 1 3.655 * [backup-simplify]: Simplify (/ 1 1) into 1 3.655 * [backup-simplify]: Simplify 1 into 1 3.655 * [backup-simplify]: Simplify (+ 0) into 0 3.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.657 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 3.657 * [backup-simplify]: Simplify -1/2 into -1/2 3.658 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 3.658 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.667 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 3.667 * [backup-simplify]: Simplify 1/24 into 1/24 3.667 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 3)) (+ (* -1/2 x) (* 1 (/ 1 x)))) into (- (+ (* 1/24 (pow x 3)) (/ 1 x)) (* 1/2 x)) 3.668 * [backup-simplify]: Simplify (/ (cos (/ 1 x)) (/ 1 x)) into (* x (cos (/ 1 x))) 3.668 * [approximate]: Taking taylor expansion of (* x (cos (/ 1 x))) in (x) around 0 3.668 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 3.668 * [taylor]: Taking taylor expansion of x in x 3.668 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify 1 into 1 3.668 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.668 * [taylor]: Taking taylor expansion of x in x 3.668 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify 1 into 1 3.669 * [backup-simplify]: Simplify (/ 1 1) into 1 3.669 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.669 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 3.669 * [taylor]: Taking taylor expansion of x in x 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 1 into 1 3.669 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.669 * [taylor]: Taking taylor expansion of x in x 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 1 into 1 3.669 * [backup-simplify]: Simplify (/ 1 1) into 1 3.669 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.669 * [backup-simplify]: Simplify (* 0 (cos (/ 1 x))) into 0 3.669 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1 x)))) into (cos (/ 1 x)) 3.670 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.670 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1 x))))) into 0 3.670 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 3.671 * [backup-simplify]: Simplify 0 into 0 3.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 3.672 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 3.673 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 3.675 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))))) into 0 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify (* (cos (/ 1 (/ 1 x))) (/ 1 x)) into (/ (cos x) x) 3.676 * [backup-simplify]: Simplify (/ (cos (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (cos (/ -1 x)))) 3.676 * [approximate]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in (x) around 0 3.676 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 3.676 * [taylor]: Taking taylor expansion of -1 in x 3.676 * [backup-simplify]: Simplify -1 into -1 3.676 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 3.676 * [taylor]: Taking taylor expansion of x in x 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify 1 into 1 3.676 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.677 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.677 * [taylor]: Taking taylor expansion of -1 in x 3.677 * [backup-simplify]: Simplify -1 into -1 3.677 * [taylor]: Taking taylor expansion of x in x 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify 1 into 1 3.677 * [backup-simplify]: Simplify (/ -1 1) into -1 3.677 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.677 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 3.677 * [taylor]: Taking taylor expansion of -1 in x 3.677 * [backup-simplify]: Simplify -1 into -1 3.677 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 3.677 * [taylor]: Taking taylor expansion of x in x 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify 1 into 1 3.677 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.677 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.677 * [taylor]: Taking taylor expansion of -1 in x 3.677 * [backup-simplify]: Simplify -1 into -1 3.677 * [taylor]: Taking taylor expansion of x in x 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify 1 into 1 3.677 * [backup-simplify]: Simplify (/ -1 1) into -1 3.677 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.678 * [backup-simplify]: Simplify (* 0 (cos (/ -1 x))) into 0 3.678 * [backup-simplify]: Simplify (* -1 0) into 0 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ -1 x)))) into (cos (/ -1 x)) 3.678 * [backup-simplify]: Simplify (+ (* -1 (cos (/ -1 x))) (* 0 0)) into (- (cos (/ -1 x))) 3.679 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 3.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ -1 x))))) into 0 3.680 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (cos (/ -1 x))) (* 0 0))) into 0 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 3.681 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (cos (/ -1 x))) (* 0 0)))) into 0 3.681 * [backup-simplify]: Simplify 0 into 0 3.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 3.683 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (cos (/ -1 x))) (* 0 0))))) into 0 3.683 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 3.685 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (cos (/ -1 x))) (* 0 0)))))) into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 3.688 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (cos (/ -1 x))) (* 0 0))))))) into 0 3.688 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))))) into 0 3.691 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (cos (/ -1 x))) (* 0 0)))))))) into 0 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (cos x) x) 3.691 * * * [progress]: simplifying candidates 3.693 * [simplify]: Simplifying: (/ (exp (/ 1.0 x)) (exp (/ (cos x) x))) (log (- (/ 1.0 x) (/ (cos x) x))) (exp (- (/ 1.0 x) (/ (cos x) x))) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (cbrt (- (/ 1.0 x) (/ (cos x) x))) (* (* (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x))) (- (/ 1.0 x) (/ (cos x) x))) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (- 1.0 (cos x)) (- (* 1.0 x) (* x (cos x))) (* x x) (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* (/ (cos x) x) (/ (cos x) x)) (* (/ 1.0 x) (/ (cos x) x)))) (- (/ (cos x) x)) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (/ (cos x) x))) (+ (/ 1.0 x) (/ (cos x) x)) (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ 1.0 (cbrt x)) (/ (cos x) (cbrt x))) (- (/ 1.0 (sqrt x)) (/ (cos x) (sqrt x))) (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x)) (- 1.0 (cos x)) (- (/ (cos x) x)) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) (+ (- (log x)) (log (- (/ 1.0 x) (/ (cos x) x)))) (+ (- 0 (log x)) (log (- (/ 1.0 x) (/ (cos x) x)))) (+ (- (log 1) (log x)) (log (- (/ 1.0 x) (/ (cos x) x)))) (+ (log (/ 1 x)) (log (- (/ 1.0 x) (/ (cos x) x)))) (log (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (exp (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x))) (- (/ 1.0 x) (/ (cos x) x)))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x))) (- (/ 1.0 x) (/ (cos x) x)))) (* (cbrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (cbrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))))) (cbrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (* (* (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (sqrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (sqrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (* 1 (- 1.0 (cos x))) (* x x) (* 1 (- (* 1.0 x) (* x (cos x)))) (* x (* x x)) (* 1 (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3))) (* x (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* (/ (cos x) x) (/ (cos x) x)) (* (/ 1.0 x) (/ (cos x) x))))) (* 1 (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (/ (cos x) x)))) (* x (+ (/ 1.0 x) (/ (cos x) x))) (* (sqrt (/ 1 x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (sqrt (/ 1 x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ (sqrt 1) (sqrt x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ (sqrt 1) (sqrt x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ 1 (sqrt x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ 1 (sqrt x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ 1 x) (/ 1.0 x)) (* (/ 1 x) (- (/ (cos x) x))) (* (/ 1 x) (/ 1.0 x)) (* (/ 1 x) (- (/ (cos x) x))) (* (/ 1.0 x) (/ 1 x)) (* (- (/ (cos x) x)) (/ 1 x)) (* (/ 1.0 x) (/ 1 x)) (* (- (/ (cos x) x)) (/ 1 x)) (* (/ 1 x) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x))))) (* (/ 1 x) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ 1 x) 1) (* (/ 1 x) (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x)))) (* (/ 1 x) (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x)))) (* (/ 1 x) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x)))) (* (/ 1 x) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)))) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) 1) (* (/ 1 x) (/ 1 x)) (* (cbrt (/ 1 x)) (- (/ 1.0 x) (/ (cos x) x))) (* (sqrt (/ 1 x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (cbrt 1) (cbrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (cbrt 1) (sqrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (cbrt 1) x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (sqrt 1) (cbrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (sqrt 1) (sqrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (sqrt 1) x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 (cbrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 (sqrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 x) (- 1.0 (cos x))) (* (/ 1 x) (- (* 1.0 x) (* x (cos x)))) (* (/ 1 x) (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3))) (* (/ 1 x) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (/ (cos x) x)))) (* 1 (- (/ 1.0 x) (/ (cos x) x))) (- (log (cos x)) (log x)) (log (/ (cos x) x)) (exp (/ (cos x) x)) (/ (* (* (cos x) (cos x)) (cos x)) (* (* x x) x)) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))) (cbrt (/ (cos x) x)) (* (* (/ (cos x) x) (/ (cos x) x)) (/ (cos x) x)) (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x)) (- (cos x)) (- x) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))) (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)) (/ (cbrt (cos x)) (sqrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1) (/ (cbrt (cos x)) x) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))) (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) 1) (/ (sqrt (cos x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (cos x) (cbrt x)) (/ 1 (sqrt x)) (/ (cos x) (sqrt x)) (/ 1 1) (/ (cos x) x) (/ 1 x) (/ x (cos x)) (/ (cos x) (* (cbrt x) (cbrt x))) (/ (cos x) (sqrt x)) (/ (cos x) 1) (/ x (cbrt (cos x))) (/ x (sqrt (cos x))) (/ x (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/24 (pow x 3)) (/ 1 x)) (* 1/2 x)) (/ (cos x) x) (/ (cos x) x) 4.597 * * * [progress]: adding candidates to table 4.929 * * [progress]: iteration 4 / 4 4.930 * * * [progress]: picking best candidate 4.952 * * * * [pick]: Picked # 4.952 * * * [progress]: localizing error 4.963 * * * [progress]: generating rewritten candidates 4.963 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 4.974 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 4.998 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 5.034 * * * [progress]: generating series expansions 5.034 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 5.034 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 5.034 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.034 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.034 * [taylor]: Taking taylor expansion of 1.0 in x 5.034 * [backup-simplify]: Simplify 1.0 into 1.0 5.034 * [taylor]: Taking taylor expansion of (cos x) in x 5.034 * [taylor]: Taking taylor expansion of x in x 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify 1 into 1 5.034 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.034 * [taylor]: Taking taylor expansion of 1.0 in x 5.034 * [backup-simplify]: Simplify 1.0 into 1.0 5.034 * [taylor]: Taking taylor expansion of (cos x) in x 5.035 * [taylor]: Taking taylor expansion of x in x 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify 1 into 1 5.035 * [backup-simplify]: Simplify (- 1) into -1 5.036 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.036 * [backup-simplify]: Simplify 0 into 0 5.036 * [backup-simplify]: Simplify (+ 0) into 0 5.036 * [backup-simplify]: Simplify (- 0) into 0 5.037 * [backup-simplify]: Simplify (+ 0 0) into 0 5.037 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.038 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.038 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.038 * [backup-simplify]: Simplify 1/2 into 1/2 5.040 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.040 * [backup-simplify]: Simplify (- 0) into 0 5.040 * [backup-simplify]: Simplify (+ 0 0) into 0 5.040 * [backup-simplify]: Simplify 0 into 0 5.043 * [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 5.043 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.044 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.044 * [backup-simplify]: Simplify -1/24 into -1/24 5.046 * [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 5.046 * [backup-simplify]: Simplify (- 0) into 0 5.047 * [backup-simplify]: Simplify (+ 0 0) into 0 5.047 * [backup-simplify]: Simplify 0 into 0 5.051 * [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 5.052 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.052 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.052 * [backup-simplify]: Simplify 1/720 into 1/720 5.053 * [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))) 5.053 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.053 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.053 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.053 * [taylor]: Taking taylor expansion of 1.0 in x 5.053 * [backup-simplify]: Simplify 1.0 into 1.0 5.053 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.053 * [taylor]: Taking taylor expansion of x in x 5.053 * [backup-simplify]: Simplify 0 into 0 5.053 * [backup-simplify]: Simplify 1 into 1 5.054 * [backup-simplify]: Simplify (/ 1 1) into 1 5.054 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.054 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.054 * [taylor]: Taking taylor expansion of 1.0 in x 5.054 * [backup-simplify]: Simplify 1.0 into 1.0 5.054 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.054 * [taylor]: Taking taylor expansion of x in x 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify 1 into 1 5.054 * [backup-simplify]: Simplify (/ 1 1) into 1 5.054 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.055 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.055 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.055 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.055 * [backup-simplify]: Simplify (- 0) into 0 5.055 * [backup-simplify]: Simplify (+ 0 0) into 0 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify (- 0) into 0 5.056 * [backup-simplify]: Simplify (+ 0 0) into 0 5.057 * [backup-simplify]: Simplify 0 into 0 5.057 * [backup-simplify]: Simplify (- 0) into 0 5.057 * [backup-simplify]: Simplify (+ 0 0) into 0 5.057 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify (- 0) into 0 5.058 * [backup-simplify]: Simplify (+ 0 0) into 0 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify (- 0) into 0 5.059 * [backup-simplify]: Simplify (+ 0 0) into 0 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify (- 0) into 0 5.059 * [backup-simplify]: Simplify (+ 0 0) into 0 5.059 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 5.060 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 5.060 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.060 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.060 * [taylor]: Taking taylor expansion of 1.0 in x 5.060 * [backup-simplify]: Simplify 1.0 into 1.0 5.060 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.060 * [taylor]: Taking taylor expansion of -1 in x 5.060 * [backup-simplify]: Simplify -1 into -1 5.060 * [taylor]: Taking taylor expansion of x in x 5.060 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify 1 into 1 5.060 * [backup-simplify]: Simplify (/ -1 1) into -1 5.061 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.061 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.061 * [taylor]: Taking taylor expansion of 1.0 in x 5.061 * [backup-simplify]: Simplify 1.0 into 1.0 5.061 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.061 * [taylor]: Taking taylor expansion of -1 in x 5.061 * [backup-simplify]: Simplify -1 into -1 5.061 * [taylor]: Taking taylor expansion of x in x 5.061 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify 1 into 1 5.061 * [backup-simplify]: Simplify (/ -1 1) into -1 5.061 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.061 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.062 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.062 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 5.062 * [backup-simplify]: Simplify (- 0) into 0 5.062 * [backup-simplify]: Simplify (+ 0 0) into 0 5.062 * [backup-simplify]: Simplify 0 into 0 5.063 * [backup-simplify]: Simplify (- 0) into 0 5.063 * [backup-simplify]: Simplify (+ 0 0) into 0 5.063 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify (- 0) into 0 5.064 * [backup-simplify]: Simplify (+ 0 0) into 0 5.064 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify (- 0) into 0 5.065 * [backup-simplify]: Simplify (+ 0 0) into 0 5.065 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify (- 0) into 0 5.065 * [backup-simplify]: Simplify (+ 0 0) into 0 5.065 * [backup-simplify]: Simplify 0 into 0 5.066 * [backup-simplify]: Simplify (- 0) into 0 5.066 * [backup-simplify]: Simplify (+ 0 0) into 0 5.066 * [backup-simplify]: Simplify 0 into 0 5.066 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 5.066 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 5.067 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 5.067 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 5.067 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 5.067 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.067 * [taylor]: Taking taylor expansion of 1.0 in x 5.067 * [backup-simplify]: Simplify 1.0 into 1.0 5.067 * [taylor]: Taking taylor expansion of (cos x) in x 5.067 * [taylor]: Taking taylor expansion of x in x 5.067 * [backup-simplify]: Simplify 0 into 0 5.067 * [backup-simplify]: Simplify 1 into 1 5.067 * [taylor]: Taking taylor expansion of x in x 5.067 * [backup-simplify]: Simplify 0 into 0 5.067 * [backup-simplify]: Simplify 1 into 1 5.067 * [backup-simplify]: Simplify (- 1) into -1 5.068 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.068 * [backup-simplify]: Simplify (+ 0) into 0 5.068 * [backup-simplify]: Simplify (- 0) into 0 5.069 * [backup-simplify]: Simplify (+ 0 0) into 0 5.070 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.070 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.070 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.071 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.071 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 5.071 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.071 * [taylor]: Taking taylor expansion of 1.0 in x 5.071 * [backup-simplify]: Simplify 1.0 into 1.0 5.071 * [taylor]: Taking taylor expansion of (cos x) in x 5.071 * [taylor]: Taking taylor expansion of x in x 5.071 * [backup-simplify]: Simplify 0 into 0 5.071 * [backup-simplify]: Simplify 1 into 1 5.071 * [taylor]: Taking taylor expansion of x in x 5.071 * [backup-simplify]: Simplify 0 into 0 5.071 * [backup-simplify]: Simplify 1 into 1 5.071 * [backup-simplify]: Simplify (- 1) into -1 5.072 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.072 * [backup-simplify]: Simplify (+ 0) into 0 5.073 * [backup-simplify]: Simplify (- 0) into 0 5.073 * [backup-simplify]: Simplify (+ 0 0) into 0 5.074 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.074 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.075 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.075 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.075 * [backup-simplify]: Simplify 1/2 into 1/2 5.076 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.077 * [backup-simplify]: Simplify (- 0) into 0 5.077 * [backup-simplify]: Simplify (+ 0 0) into 0 5.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.078 * [backup-simplify]: Simplify 0 into 0 5.080 * [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 5.081 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.081 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.082 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 5.082 * [backup-simplify]: Simplify -1/24 into -1/24 5.084 * [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 5.085 * [backup-simplify]: Simplify (- 0) into 0 5.085 * [backup-simplify]: Simplify (+ 0 0) into 0 5.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 5.086 * [backup-simplify]: Simplify 0 into 0 5.092 * [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 5.092 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.092 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.094 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 5.094 * [backup-simplify]: Simplify 1/720 into 1/720 5.094 * [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))) 5.095 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* x (- 1.0 (cos (/ 1 x)))) 5.095 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 5.095 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 5.095 * [taylor]: Taking taylor expansion of x in x 5.095 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify 1 into 1 5.095 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.095 * [taylor]: Taking taylor expansion of 1.0 in x 5.095 * [backup-simplify]: Simplify 1.0 into 1.0 5.095 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.095 * [taylor]: Taking taylor expansion of x in x 5.095 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify 1 into 1 5.095 * [backup-simplify]: Simplify (/ 1 1) into 1 5.095 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.095 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 5.096 * [taylor]: Taking taylor expansion of x in x 5.096 * [backup-simplify]: Simplify 0 into 0 5.096 * [backup-simplify]: Simplify 1 into 1 5.096 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.096 * [taylor]: Taking taylor expansion of 1.0 in x 5.096 * [backup-simplify]: Simplify 1.0 into 1.0 5.096 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.096 * [taylor]: Taking taylor expansion of x in x 5.096 * [backup-simplify]: Simplify 0 into 0 5.096 * [backup-simplify]: Simplify 1 into 1 5.096 * [backup-simplify]: Simplify (/ 1 1) into 1 5.096 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.096 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.097 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.097 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify (- 0) into 0 5.097 * [backup-simplify]: Simplify (+ 0 0) into 0 5.098 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 5.098 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.098 * [backup-simplify]: Simplify (- 0) into 0 5.099 * [backup-simplify]: Simplify (+ 0 0) into 0 5.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 5.100 * [backup-simplify]: Simplify 0 into 0 5.100 * [backup-simplify]: Simplify (- 0) into 0 5.100 * [backup-simplify]: Simplify (+ 0 0) into 0 5.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify (- 0) into 0 5.102 * [backup-simplify]: Simplify (+ 0 0) into 0 5.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 5.103 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify (- 0) into 0 5.104 * [backup-simplify]: Simplify (+ 0 0) into 0 5.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 5.105 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify (- 0) into 0 5.106 * [backup-simplify]: Simplify (+ 0 0) into 0 5.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 5.107 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify (- 0) into 0 5.108 * [backup-simplify]: Simplify (+ 0 0) into 0 5.109 * [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 5.109 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 5.109 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* (- 1.0 (cos (/ -1 x))) x)) 5.109 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 5.109 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 5.109 * [taylor]: Taking taylor expansion of -1 in x 5.109 * [backup-simplify]: Simplify -1 into -1 5.109 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 5.109 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.110 * [taylor]: Taking taylor expansion of 1.0 in x 5.110 * [backup-simplify]: Simplify 1.0 into 1.0 5.110 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.110 * [taylor]: Taking taylor expansion of -1 in x 5.110 * [backup-simplify]: Simplify -1 into -1 5.110 * [taylor]: Taking taylor expansion of x in x 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 1 into 1 5.110 * [backup-simplify]: Simplify (/ -1 1) into -1 5.110 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.110 * [taylor]: Taking taylor expansion of x in x 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 1 into 1 5.110 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 5.110 * [taylor]: Taking taylor expansion of -1 in x 5.110 * [backup-simplify]: Simplify -1 into -1 5.110 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 5.110 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.110 * [taylor]: Taking taylor expansion of 1.0 in x 5.110 * [backup-simplify]: Simplify 1.0 into 1.0 5.110 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.110 * [taylor]: Taking taylor expansion of -1 in x 5.110 * [backup-simplify]: Simplify -1 into -1 5.110 * [taylor]: Taking taylor expansion of x in x 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 1 into 1 5.111 * [backup-simplify]: Simplify (/ -1 1) into -1 5.111 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.111 * [taylor]: Taking taylor expansion of x in x 5.111 * [backup-simplify]: Simplify 0 into 0 5.111 * [backup-simplify]: Simplify 1 into 1 5.111 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.111 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.111 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 5.111 * [backup-simplify]: Simplify (* -1 0) into 0 5.111 * [backup-simplify]: Simplify 0 into 0 5.111 * [backup-simplify]: Simplify (- 0) into 0 5.112 * [backup-simplify]: Simplify (+ 0 0) into 0 5.112 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 5.112 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 5.112 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 5.113 * [backup-simplify]: Simplify (- 0) into 0 5.113 * [backup-simplify]: Simplify (+ 0 0) into 0 5.113 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 5.114 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify (- 0) into 0 5.114 * [backup-simplify]: Simplify (+ 0 0) into 0 5.115 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.116 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify (- 0) into 0 5.116 * [backup-simplify]: Simplify (+ 0 0) into 0 5.117 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.118 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 5.118 * [backup-simplify]: Simplify 0 into 0 5.118 * [backup-simplify]: Simplify (- 0) into 0 5.118 * [backup-simplify]: Simplify (+ 0 0) into 0 5.119 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.120 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify (- 0) into 0 5.120 * [backup-simplify]: Simplify (+ 0 0) into 0 5.121 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.122 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 5.122 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify (- 0) into 0 5.123 * [backup-simplify]: Simplify (+ 0 0) into 0 5.124 * [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 5.131 * [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 5.131 * [backup-simplify]: Simplify 0 into 0 5.131 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 5.131 * * * * [progress]: [ 3 / 3 ] generating series at (2) 5.131 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos x)) x) x) into (/ (- 1.0 (cos x)) (pow x 2)) 5.131 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 5.131 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 5.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.131 * [taylor]: Taking taylor expansion of 1.0 in x 5.132 * [backup-simplify]: Simplify 1.0 into 1.0 5.132 * [taylor]: Taking taylor expansion of (cos x) in x 5.132 * [taylor]: Taking taylor expansion of x in x 5.132 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify 1 into 1 5.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.132 * [taylor]: Taking taylor expansion of x in x 5.132 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify 1 into 1 5.132 * [backup-simplify]: Simplify (- 1) into -1 5.132 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.133 * [backup-simplify]: Simplify (+ 0) into 0 5.133 * [backup-simplify]: Simplify (- 0) into 0 5.133 * [backup-simplify]: Simplify (+ 0 0) into 0 5.134 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.134 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.135 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.135 * [backup-simplify]: Simplify (* 1 1) into 1 5.135 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.135 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 5.135 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.135 * [taylor]: Taking taylor expansion of 1.0 in x 5.135 * [backup-simplify]: Simplify 1.0 into 1.0 5.135 * [taylor]: Taking taylor expansion of (cos x) in x 5.135 * [taylor]: Taking taylor expansion of x in x 5.135 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify 1 into 1 5.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.135 * [taylor]: Taking taylor expansion of x in x 5.135 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify 1 into 1 5.135 * [backup-simplify]: Simplify (- 1) into -1 5.136 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.136 * [backup-simplify]: Simplify (+ 0) into 0 5.136 * [backup-simplify]: Simplify (- 0) into 0 5.136 * [backup-simplify]: Simplify (+ 0 0) into 0 5.137 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.137 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.137 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.138 * [backup-simplify]: Simplify (* 1 1) into 1 5.138 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.138 * [backup-simplify]: Simplify 1/2 into 1/2 5.139 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.139 * [backup-simplify]: Simplify (- 0) into 0 5.139 * [backup-simplify]: Simplify (+ 0 0) into 0 5.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.140 * [backup-simplify]: Simplify 0 into 0 5.141 * [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 5.142 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.142 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.143 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 5.143 * [backup-simplify]: Simplify -1/24 into -1/24 5.144 * [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 5.145 * [backup-simplify]: Simplify (- 0) into 0 5.145 * [backup-simplify]: Simplify (+ 0 0) into 0 5.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 5.146 * [backup-simplify]: Simplify 0 into 0 5.149 * [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 5.149 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.149 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.151 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 5.151 * [backup-simplify]: Simplify 1/720 into 1/720 5.151 * [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))) 5.151 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 x)) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 5.151 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 5.151 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 5.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.152 * [taylor]: Taking taylor expansion of x in x 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 1 into 1 5.152 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.152 * [taylor]: Taking taylor expansion of 1.0 in x 5.152 * [backup-simplify]: Simplify 1.0 into 1.0 5.152 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.152 * [taylor]: Taking taylor expansion of x in x 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 1 into 1 5.152 * [backup-simplify]: Simplify (/ 1 1) into 1 5.152 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.152 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 5.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.152 * [taylor]: Taking taylor expansion of x in x 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 1 into 1 5.152 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.152 * [taylor]: Taking taylor expansion of 1.0 in x 5.152 * [backup-simplify]: Simplify 1.0 into 1.0 5.152 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.152 * [taylor]: Taking taylor expansion of x in x 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 1 into 1 5.152 * [backup-simplify]: Simplify (/ 1 1) into 1 5.153 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.153 * [backup-simplify]: Simplify (* 1 1) into 1 5.153 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.153 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.153 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.153 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.153 * [backup-simplify]: Simplify (- 0) into 0 5.154 * [backup-simplify]: Simplify (+ 0 0) into 0 5.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 5.154 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify (- 0) into 0 5.155 * [backup-simplify]: Simplify (+ 0 0) into 0 5.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 5.156 * [backup-simplify]: Simplify 0 into 0 5.156 * [backup-simplify]: Simplify (- 0) into 0 5.156 * [backup-simplify]: Simplify (+ 0 0) into 0 5.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify (- 0) into 0 5.158 * [backup-simplify]: Simplify (+ 0 0) into 0 5.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify (- 0) into 0 5.160 * [backup-simplify]: Simplify (+ 0 0) into 0 5.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify (- 0) into 0 5.163 * [backup-simplify]: Simplify (+ 0 0) into 0 5.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 5.167 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 5.167 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (- x))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 5.167 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 5.167 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 5.167 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.167 * [taylor]: Taking taylor expansion of 1.0 in x 5.167 * [backup-simplify]: Simplify 1.0 into 1.0 5.167 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.167 * [taylor]: Taking taylor expansion of -1 in x 5.167 * [backup-simplify]: Simplify -1 into -1 5.167 * [taylor]: Taking taylor expansion of x in x 5.167 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify 1 into 1 5.168 * [backup-simplify]: Simplify (/ -1 1) into -1 5.168 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.168 * [taylor]: Taking taylor expansion of x in x 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 1 into 1 5.168 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 5.168 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.168 * [taylor]: Taking taylor expansion of 1.0 in x 5.168 * [backup-simplify]: Simplify 1.0 into 1.0 5.168 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.168 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.168 * [taylor]: Taking taylor expansion of -1 in x 5.168 * [backup-simplify]: Simplify -1 into -1 5.168 * [taylor]: Taking taylor expansion of x in x 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 1 into 1 5.168 * [backup-simplify]: Simplify (/ -1 1) into -1 5.168 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.168 * [taylor]: Taking taylor expansion of x in x 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 1 into 1 5.169 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.169 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.169 * [backup-simplify]: Simplify (* 1 1) into 1 5.169 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 5.169 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 5.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.170 * [backup-simplify]: Simplify (- 0) into 0 5.170 * [backup-simplify]: Simplify (+ 0 0) into 0 5.170 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 5.170 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.171 * [backup-simplify]: Simplify (- 0) into 0 5.171 * [backup-simplify]: Simplify (+ 0 0) into 0 5.172 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.172 * [backup-simplify]: Simplify (- 0) into 0 5.173 * [backup-simplify]: Simplify (+ 0 0) into 0 5.173 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.173 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.174 * [backup-simplify]: Simplify (- 0) into 0 5.174 * [backup-simplify]: Simplify (+ 0 0) into 0 5.175 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.175 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.176 * [backup-simplify]: Simplify (- 0) into 0 5.176 * [backup-simplify]: Simplify (+ 0 0) into 0 5.177 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.177 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.178 * [backup-simplify]: Simplify (- 0) into 0 5.178 * [backup-simplify]: Simplify (+ 0 0) into 0 5.179 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.179 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 5.179 * * * [progress]: simplifying candidates 5.182 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (- (- (log (- 1.0 (cos x))) (log x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (exp (/ (/ (- 1.0 (cos x)) x) x)) (/ (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (* x x) x)) (/ (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (* (* x x) x)) (* (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (cbrt (/ (/ (- 1.0 (cos x)) x) x))) (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (* (* (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x)) (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (- (/ (- 1.0 (cos x)) x)) (- x) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (* (cbrt x) (cbrt x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (sqrt x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) 1) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) 1) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) 1) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) 1) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) x) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) 1) (/ (/ (cbrt (- 1.0 (cos x))) x) x) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) 1) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) 1) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) 1) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) 1) 1) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ 1 1) 1) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ 1 1) 1) (/ (/ (- 1.0 (cos x)) x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 1) (/ (/ (- 1.0 (cos x)) x) x) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) 1) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ x (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) x)) (/ x (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ 1 x)) (* x x) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 5.909 * * * [progress]: adding candidates to table 6.302 * [progress]: [Phase 3 of 3] Extracting. 6.303 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 6.307 * * * [regime-changes]: Trying 1 branch expressions: (x) 6.307 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 6.385 * * * [regime]: Found split indices: #