25.981 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.116 * * * [progress]: [2/2] Setting up program. 0.122 * [progress]: [Phase 2 of 3] Improving. 0.122 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.122 * * [simplify]: Extracting # 0 : cost 0 0.122 * * [simplify]: Extracting # 1 : cost 0 0.122 * * [simplify]: Extracting # 2 : cost 0 0.122 * * [simplify]: Extracting # 3 : cost 0 0.122 * * [simplify]: Extracting # 4 : cost 0 0.122 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.152 * * [simplify]: Extracting # 0 : cost 0 0.152 * * [simplify]: Extracting # 1 : cost 0 0.152 * * [simplify]: Extracting # 2 : cost 0 0.152 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.157 * * [simplify]: Extracting # 0 : cost 0 0.157 * * [simplify]: Extracting # 1 : cost 0 0.157 * * [simplify]: Extracting # 2 : cost 0 0.157 * * [simplify]: iteration 2 : 21 enodes (cost 8 ) 0.166 * * [simplify]: Extracting # 0 : cost 0 0.166 * * [simplify]: Extracting # 1 : cost 0 0.166 * * [simplify]: Extracting # 2 : cost 0 0.166 * * [simplify]: iteration 3 : 26 enodes (cost 8 ) 0.174 * * [simplify]: Extracting # 0 : cost 0 0.174 * * [simplify]: iteration 4 : 28 enodes (cost 8 ) 0.182 * * [simplify]: Extracting # 0 : cost 0 0.182 * * [simplify]: iteration done: 28 enodes (cost 8 ) 0.182 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.183 * * [progress]: iteration 1 / 4 0.183 * * * [progress]: picking best candidate 0.189 * * * * [pick]: Picked # 0.189 * * * [progress]: localizing error 0.208 * * * [progress]: generating rewritten candidates 0.208 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.251 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.271 * * * [progress]: generating series expansions 0.272 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.279 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.279 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.280 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.280 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [backup-simplify]: Simplify 1.0 into 1.0 0.280 * [taylor]: Taking taylor expansion of (cos x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (- 1) into -1 0.283 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.284 * [backup-simplify]: Simplify (+ 0) into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.286 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.286 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.286 * [backup-simplify]: Simplify (* 1 1) into 1 0.287 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.287 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.287 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [backup-simplify]: Simplify 1.0 into 1.0 0.287 * [taylor]: Taking taylor expansion of (cos x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (- 1) into -1 0.288 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.288 * [backup-simplify]: Simplify (+ 0) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.290 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.290 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.291 * [backup-simplify]: Simplify (* 1 1) into 1 0.291 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.292 * [backup-simplify]: Simplify 1/2 into 1/2 0.302 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.307 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.308 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.310 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.310 * [backup-simplify]: Simplify -1/24 into -1/24 0.312 * [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 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.321 * [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 0.321 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.322 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.325 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.325 * [backup-simplify]: Simplify 1/720 into 1/720 0.327 * [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))) 0.327 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 0.327 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.327 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [backup-simplify]: Simplify 1.0 into 1.0 0.328 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.329 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 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 (/ 1 x)) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 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 1) into 1 0.330 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.331 * [backup-simplify]: Simplify (* 1 1) into 1 0.331 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.331 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.331 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.331 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.351 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 0.351 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.351 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [backup-simplify]: Simplify 1.0 into 1.0 0.352 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.352 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.352 * [taylor]: Taking taylor expansion of -1 in x 0.352 * [backup-simplify]: Simplify -1 into -1 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (/ -1 1) into -1 0.352 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.352 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [backup-simplify]: Simplify 1.0 into 1.0 0.352 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.353 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.353 * [taylor]: Taking taylor expansion of -1 in x 0.353 * [backup-simplify]: Simplify -1 into -1 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ -1 1) into -1 0.353 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.354 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.354 * [backup-simplify]: Simplify (* 1 1) into 1 0.354 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 0.354 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.368 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.370 * [backup-simplify]: Simplify (- 0) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.372 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.372 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.372 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [backup-simplify]: Simplify 1.0 into 1.0 0.372 * [taylor]: Taking taylor expansion of (cos x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [backup-simplify]: Simplify 1.0 into 1.0 0.372 * [taylor]: Taking taylor expansion of (cos x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (- 1) into -1 0.373 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ 0) into 0 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.376 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.376 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.376 * [backup-simplify]: Simplify 1/2 into 1/2 0.378 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.378 * [backup-simplify]: Simplify (- 0) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.381 * [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 0.382 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.382 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.382 * [backup-simplify]: Simplify -1/24 into -1/24 0.384 * [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 0.385 * [backup-simplify]: Simplify (- 0) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.391 * [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 0.391 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.392 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.392 * [backup-simplify]: Simplify 1/720 into 1/720 0.392 * [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))) 0.393 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.393 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.393 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [backup-simplify]: Simplify 1.0 into 1.0 0.393 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.393 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [backup-simplify]: Simplify 1.0 into 1.0 0.394 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (/ 1 1) into 1 0.394 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.394 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.394 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.395 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.395 * [backup-simplify]: Simplify (- 0) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (- 0) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (- 0) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (- 0) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (- 0) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (- 0) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.400 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.400 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.400 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [backup-simplify]: Simplify 1.0 into 1.0 0.400 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.400 * [taylor]: Taking taylor expansion of -1 in x 0.400 * [backup-simplify]: Simplify -1 into -1 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (/ -1 1) into -1 0.401 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.401 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [backup-simplify]: Simplify 1.0 into 1.0 0.401 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.401 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.401 * [taylor]: Taking taylor expansion of -1 in x 0.401 * [backup-simplify]: Simplify -1 into -1 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (/ -1 1) into -1 0.402 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.402 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.402 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.403 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (- 0) into 0 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (- 0) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (- 0) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.408 * * * [progress]: simplifying candidates 0.409 * [simplify]: Simplifying: (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.412 * * [simplify]: Extracting # 0 : cost 0 0.412 * * [simplify]: Extracting # 1 : cost 0 0.413 * * [simplify]: Extracting # 2 : cost 0 0.413 * * [simplify]: Extracting # 3 : cost 0 0.413 * * [simplify]: Extracting # 4 : cost 0 0.414 * * [simplify]: Extracting # 5 : cost 0 0.414 * * [simplify]: Extracting # 6 : cost 0 0.414 * * [simplify]: Extracting # 7 : cost 0 0.414 * * [simplify]: Extracting # 8 : cost 0 0.415 * * [simplify]: iteration 0 : 116 enodes (cost 808 ) 0.471 * * [simplify]: Extracting # 0 : cost 0 0.472 * * [simplify]: Extracting # 1 : cost 0 0.472 * * [simplify]: Extracting # 2 : cost 0 0.473 * * [simplify]: Extracting # 3 : cost 0 0.473 * * [simplify]: Extracting # 4 : cost 0 0.474 * * [simplify]: iteration 1 : 301 enodes (cost 681 ) 0.834 * * [simplify]: Extracting # 0 : cost 0 0.838 * * [simplify]: Extracting # 1 : cost 0 0.842 * * [simplify]: Extracting # 2 : cost 0 0.846 * * [simplify]: Extracting # 3 : cost 0 0.850 * * [simplify]: Extracting # 4 : cost 0 0.854 * * [simplify]: iteration 2 : 1709 enodes (cost 566 ) 1.897 * * [simplify]: Extracting # 0 : cost 0 1.915 * * [simplify]: Extracting # 1 : cost 0 1.931 * * [simplify]: Extracting # 2 : cost 0 1.944 * * [simplify]: iteration done: 5001 enodes (cost 553 ) 1.945 * [simplify]: Simplified to: (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (pow (- 1.0 (cos x)) 3) (pow x 6)) (/ (pow (- 1.0 (cos x)) 3) (pow x 6)) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (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) (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0)))) (* (* x x) (+ 1.0 (cos x))) (- (pow (cbrt 1.0) 3) (cos x)) (* (cos x) 0) (- (pow (cbrt 1.0) 3) (cos x)) (* (cos x) 0) (- (pow (cbrt 1.0) 3) (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (fma -1/24 (* x x) (fma 1/720 (pow x 4) 1/2)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (fma 1/2 (* x x) (fma 1/720 (pow x 6) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) 1.946 * * * [progress]: adding candidates to table 2.283 * * [progress]: iteration 2 / 4 2.283 * * * [progress]: picking best candidate 2.338 * * * * [pick]: Picked # 2.338 * * * [progress]: localizing error 2.357 * * * [progress]: generating rewritten candidates 2.357 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 2.370 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.401 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.460 * * * [progress]: generating series expansions 2.460 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 2.460 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 2.460 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.461 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.461 * [taylor]: Taking taylor expansion of 1.0 in x 2.461 * [backup-simplify]: Simplify 1.0 into 1.0 2.461 * [taylor]: Taking taylor expansion of (cos x) in x 2.461 * [taylor]: Taking taylor expansion of x in x 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 1 into 1 2.461 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.461 * [taylor]: Taking taylor expansion of 1.0 in x 2.461 * [backup-simplify]: Simplify 1.0 into 1.0 2.461 * [taylor]: Taking taylor expansion of (cos x) in x 2.461 * [taylor]: Taking taylor expansion of x in x 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 1 into 1 2.462 * [backup-simplify]: Simplify (- 1) into -1 2.463 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify (+ 0) into 0 2.465 * [backup-simplify]: Simplify (- 0) into 0 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.465 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.467 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.468 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.468 * [backup-simplify]: Simplify 1/2 into 1/2 2.469 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.470 * [backup-simplify]: Simplify (- 0) into 0 2.470 * [backup-simplify]: Simplify (+ 0 0) into 0 2.470 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.473 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.474 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.474 * [backup-simplify]: Simplify -1/24 into -1/24 2.476 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.476 * [backup-simplify]: Simplify (- 0) into 0 2.477 * [backup-simplify]: Simplify (+ 0 0) into 0 2.477 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 2.482 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.482 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.483 * [backup-simplify]: Simplify 1/720 into 1/720 2.483 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 2.483 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.483 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.484 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.484 * [taylor]: Taking taylor expansion of 1.0 in x 2.484 * [backup-simplify]: Simplify 1.0 into 1.0 2.484 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.484 * [taylor]: Taking taylor expansion of x in x 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify 1 into 1 2.484 * [backup-simplify]: Simplify (/ 1 1) into 1 2.484 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.484 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.484 * [taylor]: Taking taylor expansion of 1.0 in x 2.484 * [backup-simplify]: Simplify 1.0 into 1.0 2.485 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.485 * [taylor]: Taking taylor expansion of x in x 2.485 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify 1 into 1 2.485 * [backup-simplify]: Simplify (/ 1 1) into 1 2.485 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.485 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.485 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.486 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.486 * [backup-simplify]: Simplify (- 0) into 0 2.486 * [backup-simplify]: Simplify (+ 0 0) into 0 2.486 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify (- 0) into 0 2.487 * [backup-simplify]: Simplify (+ 0 0) into 0 2.487 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify (- 0) into 0 2.488 * [backup-simplify]: Simplify (+ 0 0) into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify (- 0) into 0 2.489 * [backup-simplify]: Simplify (+ 0 0) into 0 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify (- 0) into 0 2.489 * [backup-simplify]: Simplify (+ 0 0) into 0 2.489 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify (- 0) into 0 2.490 * [backup-simplify]: Simplify (+ 0 0) into 0 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 2.491 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 2.491 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.491 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.491 * [taylor]: Taking taylor expansion of 1.0 in x 2.491 * [backup-simplify]: Simplify 1.0 into 1.0 2.491 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.491 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.491 * [taylor]: Taking taylor expansion of -1 in x 2.491 * [backup-simplify]: Simplify -1 into -1 2.491 * [taylor]: Taking taylor expansion of x in x 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 1 into 1 2.491 * [backup-simplify]: Simplify (/ -1 1) into -1 2.491 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.491 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.491 * [taylor]: Taking taylor expansion of 1.0 in x 2.491 * [backup-simplify]: Simplify 1.0 into 1.0 2.491 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.492 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.492 * [taylor]: Taking taylor expansion of -1 in x 2.492 * [backup-simplify]: Simplify -1 into -1 2.492 * [taylor]: Taking taylor expansion of x in x 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 1 into 1 2.492 * [backup-simplify]: Simplify (/ -1 1) into -1 2.492 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.492 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.493 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.493 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 2.493 * [backup-simplify]: Simplify (- 0) into 0 2.493 * [backup-simplify]: Simplify (+ 0 0) into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify (- 0) into 0 2.494 * [backup-simplify]: Simplify (+ 0 0) into 0 2.494 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify (- 0) into 0 2.495 * [backup-simplify]: Simplify (+ 0 0) into 0 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify (- 0) into 0 2.496 * [backup-simplify]: Simplify (+ 0 0) into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify (- 0) into 0 2.497 * [backup-simplify]: Simplify (+ 0 0) into 0 2.497 * [backup-simplify]: Simplify 0 into 0 2.497 * [backup-simplify]: Simplify (- 0) into 0 2.498 * [backup-simplify]: Simplify (+ 0 0) into 0 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 2.498 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.499 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 2.499 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 2.499 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 2.499 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.499 * [taylor]: Taking taylor expansion of 1.0 in x 2.499 * [backup-simplify]: Simplify 1.0 into 1.0 2.499 * [taylor]: Taking taylor expansion of (cos x) in x 2.499 * [taylor]: Taking taylor expansion of x in x 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 1 into 1 2.499 * [taylor]: Taking taylor expansion of x in x 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 1 into 1 2.499 * [backup-simplify]: Simplify (- 1) into -1 2.500 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.500 * [backup-simplify]: Simplify (+ 0) into 0 2.501 * [backup-simplify]: Simplify (- 0) into 0 2.501 * [backup-simplify]: Simplify (+ 0 0) into 0 2.502 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.502 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.503 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.503 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.503 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 2.503 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.503 * [taylor]: Taking taylor expansion of 1.0 in x 2.503 * [backup-simplify]: Simplify 1.0 into 1.0 2.503 * [taylor]: Taking taylor expansion of (cos x) in x 2.503 * [taylor]: Taking taylor expansion of x in x 2.504 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify 1 into 1 2.504 * [taylor]: Taking taylor expansion of x in x 2.504 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify 1 into 1 2.504 * [backup-simplify]: Simplify (- 1) into -1 2.504 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.505 * [backup-simplify]: Simplify (+ 0) into 0 2.505 * [backup-simplify]: Simplify (- 0) into 0 2.505 * [backup-simplify]: Simplify (+ 0 0) into 0 2.506 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.507 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.507 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.507 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.508 * [backup-simplify]: Simplify 1/2 into 1/2 2.509 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.509 * [backup-simplify]: Simplify (- 0) into 0 2.509 * [backup-simplify]: Simplify (+ 0 0) into 0 2.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.510 * [backup-simplify]: Simplify 0 into 0 2.513 * [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 2.513 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.514 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.515 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 2.515 * [backup-simplify]: Simplify -1/24 into -1/24 2.517 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.517 * [backup-simplify]: Simplify (- 0) into 0 2.518 * [backup-simplify]: Simplify (+ 0 0) into 0 2.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 2.524 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.524 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.526 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 2.526 * [backup-simplify]: Simplify 1/720 into 1/720 2.526 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 2.527 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* x (- 1.0 (cos (/ 1 x)))) 2.527 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 2.527 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 2.527 * [taylor]: Taking taylor expansion of x in x 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 1 into 1 2.527 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.527 * [taylor]: Taking taylor expansion of 1.0 in x 2.527 * [backup-simplify]: Simplify 1.0 into 1.0 2.527 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.527 * [taylor]: Taking taylor expansion of x in x 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 1 into 1 2.527 * [backup-simplify]: Simplify (/ 1 1) into 1 2.527 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.527 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 2.527 * [taylor]: Taking taylor expansion of x in x 2.527 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 1 into 1 2.528 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.528 * [taylor]: Taking taylor expansion of 1.0 in x 2.528 * [backup-simplify]: Simplify 1.0 into 1.0 2.528 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.528 * [taylor]: Taking taylor expansion of x in x 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 1 into 1 2.528 * [backup-simplify]: Simplify (/ 1 1) into 1 2.528 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.528 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.528 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.529 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify (- 0) into 0 2.529 * [backup-simplify]: Simplify (+ 0 0) into 0 2.530 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 2.530 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.530 * [backup-simplify]: Simplify (- 0) into 0 2.531 * [backup-simplify]: Simplify (+ 0 0) into 0 2.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 2.531 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify (- 0) into 0 2.532 * [backup-simplify]: Simplify (+ 0 0) into 0 2.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 2.533 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify (- 0) into 0 2.534 * [backup-simplify]: Simplify (+ 0 0) into 0 2.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify (- 0) into 0 2.536 * [backup-simplify]: Simplify (+ 0 0) into 0 2.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify (- 0) into 0 2.539 * [backup-simplify]: Simplify (+ 0 0) into 0 2.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 2.541 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify (- 0) into 0 2.542 * [backup-simplify]: Simplify (+ 0 0) into 0 2.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))))) into 0 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 2.544 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* (- 1.0 (cos (/ -1 x))) x)) 2.544 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 2.544 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 2.544 * [taylor]: Taking taylor expansion of -1 in x 2.545 * [backup-simplify]: Simplify -1 into -1 2.545 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 2.545 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.545 * [taylor]: Taking taylor expansion of 1.0 in x 2.545 * [backup-simplify]: Simplify 1.0 into 1.0 2.545 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.545 * [taylor]: Taking taylor expansion of -1 in x 2.545 * [backup-simplify]: Simplify -1 into -1 2.545 * [taylor]: Taking taylor expansion of x in x 2.545 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify 1 into 1 2.545 * [backup-simplify]: Simplify (/ -1 1) into -1 2.545 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.545 * [taylor]: Taking taylor expansion of x in x 2.545 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify 1 into 1 2.545 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 2.545 * [taylor]: Taking taylor expansion of -1 in x 2.545 * [backup-simplify]: Simplify -1 into -1 2.545 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 2.545 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.546 * [taylor]: Taking taylor expansion of 1.0 in x 2.546 * [backup-simplify]: Simplify 1.0 into 1.0 2.546 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.546 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.546 * [taylor]: Taking taylor expansion of -1 in x 2.546 * [backup-simplify]: Simplify -1 into -1 2.546 * [taylor]: Taking taylor expansion of x in x 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify 1 into 1 2.546 * [backup-simplify]: Simplify (/ -1 1) into -1 2.546 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.546 * [taylor]: Taking taylor expansion of x in x 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify 1 into 1 2.546 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.547 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.547 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 2.547 * [backup-simplify]: Simplify (* -1 0) into 0 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify (- 0) into 0 2.548 * [backup-simplify]: Simplify (+ 0 0) into 0 2.548 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 2.549 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 2.549 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 2.549 * [backup-simplify]: Simplify (- 0) into 0 2.550 * [backup-simplify]: Simplify (+ 0 0) into 0 2.550 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 2.551 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify (- 0) into 0 2.552 * [backup-simplify]: Simplify (+ 0 0) into 0 2.553 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.554 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 2.554 * [backup-simplify]: Simplify 0 into 0 2.554 * [backup-simplify]: Simplify (- 0) into 0 2.554 * [backup-simplify]: Simplify (+ 0 0) into 0 2.555 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.564 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 2.564 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify (- 0) into 0 2.565 * [backup-simplify]: Simplify (+ 0 0) into 0 2.566 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.568 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify (- 0) into 0 2.569 * [backup-simplify]: Simplify (+ 0 0) into 0 2.570 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.572 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 2.572 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify (- 0) into 0 2.573 * [backup-simplify]: Simplify (+ 0 0) into 0 2.574 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.577 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))))) into 0 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 2.577 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.577 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos x)) x) x) into (/ (- 1.0 (cos x)) (pow x 2)) 2.577 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 2.577 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 2.577 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.577 * [taylor]: Taking taylor expansion of 1.0 in x 2.577 * [backup-simplify]: Simplify 1.0 into 1.0 2.577 * [taylor]: Taking taylor expansion of (cos x) in x 2.577 * [taylor]: Taking taylor expansion of x in x 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 1 into 1 2.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.577 * [taylor]: Taking taylor expansion of x in x 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 1 into 1 2.578 * [backup-simplify]: Simplify (- 1) into -1 2.578 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.579 * [backup-simplify]: Simplify (+ 0) into 0 2.579 * [backup-simplify]: Simplify (- 0) into 0 2.579 * [backup-simplify]: Simplify (+ 0 0) into 0 2.580 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.580 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.581 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.581 * [backup-simplify]: Simplify (* 1 1) into 1 2.582 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.582 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 2.582 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.582 * [taylor]: Taking taylor expansion of 1.0 in x 2.582 * [backup-simplify]: Simplify 1.0 into 1.0 2.582 * [taylor]: Taking taylor expansion of (cos x) in x 2.582 * [taylor]: Taking taylor expansion of x in x 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify 1 into 1 2.582 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.582 * [taylor]: Taking taylor expansion of x in x 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify 1 into 1 2.582 * [backup-simplify]: Simplify (- 1) into -1 2.583 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.583 * [backup-simplify]: Simplify (+ 0) into 0 2.583 * [backup-simplify]: Simplify (- 0) into 0 2.584 * [backup-simplify]: Simplify (+ 0 0) into 0 2.585 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.585 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.585 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.586 * [backup-simplify]: Simplify (* 1 1) into 1 2.586 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.586 * [backup-simplify]: Simplify 1/2 into 1/2 2.587 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.587 * [backup-simplify]: Simplify (- 0) into 0 2.588 * [backup-simplify]: Simplify (+ 0 0) into 0 2.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.589 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.592 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.593 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.595 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 2.595 * [backup-simplify]: Simplify -1/24 into -1/24 2.597 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.597 * [backup-simplify]: Simplify (- 0) into 0 2.598 * [backup-simplify]: Simplify (+ 0 0) into 0 2.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 2.600 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 2.605 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.605 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.608 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 2.608 * [backup-simplify]: Simplify 1/720 into 1/720 2.609 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 2.609 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 x)) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 2.609 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 2.609 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 2.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.609 * [taylor]: Taking taylor expansion of x in x 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 1 into 1 2.609 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.609 * [taylor]: Taking taylor expansion of 1.0 in x 2.609 * [backup-simplify]: Simplify 1.0 into 1.0 2.609 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.609 * [taylor]: Taking taylor expansion of x in x 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 1 into 1 2.610 * [backup-simplify]: Simplify (/ 1 1) into 1 2.610 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.610 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 2.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.610 * [taylor]: Taking taylor expansion of x in x 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 1 into 1 2.610 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.610 * [taylor]: Taking taylor expansion of 1.0 in x 2.610 * [backup-simplify]: Simplify 1.0 into 1.0 2.610 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.610 * [taylor]: Taking taylor expansion of x in x 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 1 into 1 2.611 * [backup-simplify]: Simplify (/ 1 1) into 1 2.611 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.611 * [backup-simplify]: Simplify (* 1 1) into 1 2.611 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.611 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.611 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.612 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.612 * [backup-simplify]: Simplify (- 0) into 0 2.612 * [backup-simplify]: Simplify (+ 0 0) into 0 2.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 2.613 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify (- 0) into 0 2.614 * [backup-simplify]: Simplify (+ 0 0) into 0 2.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 2.616 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify (- 0) into 0 2.617 * [backup-simplify]: Simplify (+ 0 0) into 0 2.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify (- 0) into 0 2.620 * [backup-simplify]: Simplify (+ 0 0) into 0 2.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 2.622 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify (- 0) into 0 2.623 * [backup-simplify]: Simplify (+ 0 0) into 0 2.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 2.626 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify (- 0) into 0 2.627 * [backup-simplify]: Simplify (+ 0 0) into 0 2.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 2.631 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 2.631 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (- x))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 2.631 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 2.631 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 2.631 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.631 * [taylor]: Taking taylor expansion of 1.0 in x 2.632 * [backup-simplify]: Simplify 1.0 into 1.0 2.632 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.632 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.632 * [taylor]: Taking taylor expansion of -1 in x 2.632 * [backup-simplify]: Simplify -1 into -1 2.632 * [taylor]: Taking taylor expansion of x in x 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 1 into 1 2.632 * [backup-simplify]: Simplify (/ -1 1) into -1 2.632 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.632 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.632 * [taylor]: Taking taylor expansion of x in x 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 1 into 1 2.632 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 2.632 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.632 * [taylor]: Taking taylor expansion of 1.0 in x 2.632 * [backup-simplify]: Simplify 1.0 into 1.0 2.632 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.632 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.632 * [taylor]: Taking taylor expansion of -1 in x 2.633 * [backup-simplify]: Simplify -1 into -1 2.633 * [taylor]: Taking taylor expansion of x in x 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify 1 into 1 2.633 * [backup-simplify]: Simplify (/ -1 1) into -1 2.633 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.633 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.633 * [taylor]: Taking taylor expansion of x in x 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify 1 into 1 2.633 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.633 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.634 * [backup-simplify]: Simplify (* 1 1) into 1 2.634 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 2.634 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 2.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.635 * [backup-simplify]: Simplify (- 0) into 0 2.635 * [backup-simplify]: Simplify (+ 0 0) into 0 2.636 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 2.636 * [backup-simplify]: Simplify 0 into 0 2.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.637 * [backup-simplify]: Simplify (- 0) into 0 2.637 * [backup-simplify]: Simplify (+ 0 0) into 0 2.638 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 2.638 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.639 * [backup-simplify]: Simplify (- 0) into 0 2.640 * [backup-simplify]: Simplify (+ 0 0) into 0 2.640 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.641 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.642 * [backup-simplify]: Simplify (- 0) into 0 2.642 * [backup-simplify]: Simplify (+ 0 0) into 0 2.643 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.643 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.645 * [backup-simplify]: Simplify (- 0) into 0 2.645 * [backup-simplify]: Simplify (+ 0 0) into 0 2.646 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.646 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.648 * [backup-simplify]: Simplify (- 0) into 0 2.648 * [backup-simplify]: Simplify (+ 0 0) into 0 2.650 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 2.650 * * * [progress]: simplifying candidates 2.658 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) x)) (log1p (/ (- 1.0 (cos x)) x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (expm1 (/ (/ (- 1.0 (cos x)) x) x)) (log1p (/ (/ (- 1.0 (cos 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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))) 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(- (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)) 2.665 * * [simplify]: Extracting # 0 : cost 0 2.666 * * [simplify]: Extracting # 1 : cost 0 2.666 * * [simplify]: Extracting # 2 : cost 0 2.667 * * [simplify]: Extracting # 3 : cost 0 2.667 * * [simplify]: Extracting # 4 : cost 0 2.668 * * [simplify]: Extracting # 5 : cost 0 2.668 * * [simplify]: Extracting # 6 : cost 0 2.669 * * [simplify]: Extracting # 7 : cost 0 2.669 * * [simplify]: Extracting # 8 : cost 0 2.670 * * [simplify]: iteration 0 : 259 enodes (cost 2577 ) 2.795 * * [simplify]: Extracting # 0 : cost 0 2.797 * * [simplify]: Extracting # 1 : cost 0 2.799 * * [simplify]: Extracting # 2 : cost 0 2.800 * * [simplify]: Extracting # 3 : cost 0 2.801 * * [simplify]: Extracting # 4 : cost 0 2.803 * * [simplify]: iteration 1 : 621 enodes (cost 2361 ) 3.350 * * [simplify]: Extracting # 0 : cost 0 3.355 * * [simplify]: Extracting # 1 : cost 0 3.363 * * [simplify]: Extracting # 2 : cost 0 3.370 * * [simplify]: Extracting # 3 : cost 0 3.377 * * [simplify]: Extracting # 4 : cost 0 3.383 * * [simplify]: iteration 2 : 2999 enodes (cost 2187 ) 5.191 * * [simplify]: Extracting # 0 : cost 0 5.203 * * [simplify]: Extracting # 1 : cost 0 5.214 * * [simplify]: Extracting # 2 : cost 0 5.225 * * [simplify]: Extracting # 3 : cost 0 5.236 * * [simplify]: iteration done: 5000 enodes (cost 2152 ) 5.239 * [simplify]: Simplified to: (- (pow (cbrt 1.0) 3) (cos x)) (* (cos x) 0) (- (pow (cbrt 1.0) 3) (cos x)) (* (cos x) 0) (- (pow (cbrt 1.0) 3) (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) x)) (log1p (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (pow (- 1.0 (cos x)) 3) (pow x 3)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0)))) (* x (+ 1.0 (cos x))) (expm1 (/ (/ (- 1.0 (cos x)) x) x)) (log1p (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (exp (/ (/ (- 1.0 (cos x)) x) x)) (/ (pow (- 1.0 (cos x)) 3) (pow x 6)) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (* (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (cbrt (/ (/ (- 1.0 (cos x)) x) x))) (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (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))) (/ (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)) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (pow (cbrt x) 3)) (cbrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) x) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (/ (cbrt (- 1.0 (cos x))) x) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (pow (cbrt x) 3))) (/ (/ (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)) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) x) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (sqrt (- 1.0 (cos x))) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (/ (/ 1 (pow (cbrt x) 3)) (cbrt x)) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (* x x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (pow (cbrt x) 3)) (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 (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (/ (- (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))) (cbrt x)) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (+ (sqrt 1.0) (sqrt (cos x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (/ (/ 1 (pow (cbrt x) 3)) (cbrt x)) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (* x x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (- 1.0 (cos x)) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 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) (/ 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 x) (* x x) (fma 1/2 (* x x) (fma 1/720 (pow x 6) (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/2 x (fma 1/720 (pow x 5) (* (pow x 3) -1/24))) (/ (- 1.0 (cos x)) x) (- (/ (- (cos x) 1.0) x)) (fma -1/24 (* x x) (fma 1/720 (pow x 4) 1/2)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) 5.241 * * * [progress]: adding candidates to table 6.128 * * [progress]: iteration 3 / 4 6.128 * * * [progress]: picking best candidate 6.200 * * * * [pick]: Picked # 6.200 * * * [progress]: localizing error 6.226 * * * [progress]: generating rewritten candidates 6.226 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 6.242 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 6.292 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 6.317 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.462 * * * [progress]: generating series expansions 6.462 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 6.463 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 6.463 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.463 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.463 * [taylor]: Taking taylor expansion of 1.0 in x 6.463 * [backup-simplify]: Simplify 1.0 into 1.0 6.463 * [taylor]: Taking taylor expansion of (cos x) in x 6.463 * [taylor]: Taking taylor expansion of x in x 6.463 * [backup-simplify]: Simplify 0 into 0 6.463 * [backup-simplify]: Simplify 1 into 1 6.463 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.463 * [taylor]: Taking taylor expansion of 1.0 in x 6.463 * [backup-simplify]: Simplify 1.0 into 1.0 6.463 * [taylor]: Taking taylor expansion of (cos x) in x 6.463 * [taylor]: Taking taylor expansion of x in x 6.463 * [backup-simplify]: Simplify 0 into 0 6.463 * [backup-simplify]: Simplify 1 into 1 6.464 * [backup-simplify]: Simplify (- 1) into -1 6.464 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.464 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify (+ 0) into 0 6.465 * [backup-simplify]: Simplify (- 0) into 0 6.465 * [backup-simplify]: Simplify (+ 0 0) into 0 6.465 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.467 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.467 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.467 * [backup-simplify]: Simplify 1/2 into 1/2 6.468 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.469 * [backup-simplify]: Simplify (- 0) into 0 6.469 * [backup-simplify]: Simplify (+ 0 0) into 0 6.469 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 6.472 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.472 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.472 * [backup-simplify]: Simplify -1/24 into -1/24 6.474 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.475 * [backup-simplify]: Simplify (- 0) into 0 6.475 * [backup-simplify]: Simplify (+ 0 0) into 0 6.475 * [backup-simplify]: Simplify 0 into 0 6.480 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 6.480 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.481 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.481 * [backup-simplify]: Simplify 1/720 into 1/720 6.481 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 6.482 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.482 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.482 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.482 * [taylor]: Taking taylor expansion of 1.0 in x 6.482 * [backup-simplify]: Simplify 1.0 into 1.0 6.482 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.482 * [taylor]: Taking taylor expansion of x in x 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify 1 into 1 6.482 * [backup-simplify]: Simplify (/ 1 1) into 1 6.482 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.482 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.482 * [taylor]: Taking taylor expansion of 1.0 in x 6.482 * [backup-simplify]: Simplify 1.0 into 1.0 6.482 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.482 * [taylor]: Taking taylor expansion of x in x 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify 1 into 1 6.483 * [backup-simplify]: Simplify (/ 1 1) into 1 6.483 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.483 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.483 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.483 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.484 * [backup-simplify]: Simplify (- 0) into 0 6.484 * [backup-simplify]: Simplify (+ 0 0) into 0 6.484 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify (- 0) into 0 6.485 * [backup-simplify]: Simplify (+ 0 0) into 0 6.485 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify (- 0) into 0 6.486 * [backup-simplify]: Simplify (+ 0 0) into 0 6.486 * [backup-simplify]: Simplify 0 into 0 6.486 * [backup-simplify]: Simplify (- 0) into 0 6.486 * [backup-simplify]: Simplify (+ 0 0) into 0 6.486 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify (- 0) into 0 6.487 * [backup-simplify]: Simplify (+ 0 0) into 0 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify (- 0) into 0 6.488 * [backup-simplify]: Simplify (+ 0 0) into 0 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 6.488 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 6.488 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.488 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.488 * [taylor]: Taking taylor expansion of 1.0 in x 6.488 * [backup-simplify]: Simplify 1.0 into 1.0 6.488 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.488 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.488 * [taylor]: Taking taylor expansion of -1 in x 6.488 * [backup-simplify]: Simplify -1 into -1 6.488 * [taylor]: Taking taylor expansion of x in x 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify 1 into 1 6.489 * [backup-simplify]: Simplify (/ -1 1) into -1 6.489 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.489 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.489 * [taylor]: Taking taylor expansion of 1.0 in x 6.489 * [backup-simplify]: Simplify 1.0 into 1.0 6.489 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.489 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.489 * [taylor]: Taking taylor expansion of -1 in x 6.489 * [backup-simplify]: Simplify -1 into -1 6.489 * [taylor]: Taking taylor expansion of x in x 6.489 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify 1 into 1 6.490 * [backup-simplify]: Simplify (/ -1 1) into -1 6.490 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.490 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.490 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.490 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 6.490 * [backup-simplify]: Simplify (- 0) into 0 6.491 * [backup-simplify]: Simplify (+ 0 0) into 0 6.491 * [backup-simplify]: Simplify 0 into 0 6.491 * [backup-simplify]: Simplify (- 0) into 0 6.491 * [backup-simplify]: Simplify (+ 0 0) into 0 6.491 * [backup-simplify]: Simplify 0 into 0 6.492 * [backup-simplify]: Simplify (- 0) into 0 6.492 * [backup-simplify]: Simplify (+ 0 0) into 0 6.492 * [backup-simplify]: Simplify 0 into 0 6.493 * [backup-simplify]: Simplify (- 0) into 0 6.493 * [backup-simplify]: Simplify (+ 0 0) into 0 6.493 * [backup-simplify]: Simplify 0 into 0 6.493 * [backup-simplify]: Simplify (- 0) into 0 6.494 * [backup-simplify]: Simplify (+ 0 0) into 0 6.494 * [backup-simplify]: Simplify 0 into 0 6.494 * [backup-simplify]: Simplify (- 0) into 0 6.494 * [backup-simplify]: Simplify (+ 0 0) into 0 6.494 * [backup-simplify]: Simplify 0 into 0 6.494 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 6.495 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.495 * [backup-simplify]: Simplify (/ 1 (/ x (- 1.0 (cos x)))) into (/ (- 1.0 (cos x)) x) 6.495 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 6.495 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 6.495 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.495 * [taylor]: Taking taylor expansion of 1.0 in x 6.495 * [backup-simplify]: Simplify 1.0 into 1.0 6.495 * [taylor]: Taking taylor expansion of (cos x) in x 6.495 * [taylor]: Taking taylor expansion of x in x 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify 1 into 1 6.495 * [taylor]: Taking taylor expansion of x in x 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify 1 into 1 6.495 * [backup-simplify]: Simplify (- 1) into -1 6.496 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.496 * [backup-simplify]: Simplify (+ 0) into 0 6.496 * [backup-simplify]: Simplify (- 0) into 0 6.497 * [backup-simplify]: Simplify (+ 0 0) into 0 6.498 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.498 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.499 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.499 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.499 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 6.499 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.499 * [taylor]: Taking taylor expansion of 1.0 in x 6.499 * [backup-simplify]: Simplify 1.0 into 1.0 6.499 * [taylor]: Taking taylor expansion of (cos x) in x 6.499 * [taylor]: Taking taylor expansion of x in x 6.499 * [backup-simplify]: Simplify 0 into 0 6.499 * [backup-simplify]: Simplify 1 into 1 6.499 * [taylor]: Taking taylor expansion of x in x 6.499 * [backup-simplify]: Simplify 0 into 0 6.499 * [backup-simplify]: Simplify 1 into 1 6.500 * [backup-simplify]: Simplify (- 1) into -1 6.500 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.501 * [backup-simplify]: Simplify (+ 0) into 0 6.501 * [backup-simplify]: Simplify (- 0) into 0 6.501 * [backup-simplify]: Simplify (+ 0 0) into 0 6.502 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.502 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.503 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.503 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.503 * [backup-simplify]: Simplify 1/2 into 1/2 6.504 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.505 * [backup-simplify]: Simplify (- 0) into 0 6.505 * [backup-simplify]: Simplify (+ 0 0) into 0 6.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.506 * [backup-simplify]: Simplify 0 into 0 6.508 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 6.509 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.509 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.510 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 6.510 * [backup-simplify]: Simplify -1/24 into -1/24 6.512 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.513 * [backup-simplify]: Simplify (- 0) into 0 6.513 * [backup-simplify]: Simplify (+ 0 0) into 0 6.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 6.514 * [backup-simplify]: Simplify 0 into 0 6.519 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 6.519 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.520 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.521 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 6.521 * [backup-simplify]: Simplify 1/720 into 1/720 6.522 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 6.522 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 x) (- 1.0 (cos (/ 1 x))))) into (* x (- 1.0 (cos (/ 1 x)))) 6.522 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 6.522 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 6.522 * [taylor]: Taking taylor expansion of x in x 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.522 * [taylor]: Taking taylor expansion of 1.0 in x 6.522 * [backup-simplify]: Simplify 1.0 into 1.0 6.522 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.522 * [taylor]: Taking taylor expansion of x in x 6.522 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify 1 into 1 6.523 * [backup-simplify]: Simplify (/ 1 1) into 1 6.523 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.523 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 6.523 * [taylor]: Taking taylor expansion of x in x 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify 1 into 1 6.523 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.523 * [taylor]: Taking taylor expansion of 1.0 in x 6.523 * [backup-simplify]: Simplify 1.0 into 1.0 6.523 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.523 * [taylor]: Taking taylor expansion of x in x 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify 1 into 1 6.524 * [backup-simplify]: Simplify (/ 1 1) into 1 6.524 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.524 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.524 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.524 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 6.524 * [backup-simplify]: Simplify 0 into 0 6.525 * [backup-simplify]: Simplify (- 0) into 0 6.525 * [backup-simplify]: Simplify (+ 0 0) into 0 6.525 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 6.525 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.526 * [backup-simplify]: Simplify (- 0) into 0 6.526 * [backup-simplify]: Simplify (+ 0 0) into 0 6.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 6.527 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify (- 0) into 0 6.528 * [backup-simplify]: Simplify (+ 0 0) into 0 6.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 6.529 * [backup-simplify]: Simplify 0 into 0 6.529 * [backup-simplify]: Simplify (- 0) into 0 6.530 * [backup-simplify]: Simplify (+ 0 0) into 0 6.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 6.531 * [backup-simplify]: Simplify 0 into 0 6.531 * [backup-simplify]: Simplify (- 0) into 0 6.532 * [backup-simplify]: Simplify (+ 0 0) into 0 6.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 6.534 * [backup-simplify]: Simplify 0 into 0 6.534 * [backup-simplify]: Simplify (- 0) into 0 6.534 * [backup-simplify]: Simplify (+ 0 0) into 0 6.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 6.544 * [backup-simplify]: Simplify 0 into 0 6.545 * [backup-simplify]: Simplify (- 0) into 0 6.545 * [backup-simplify]: Simplify (+ 0 0) into 0 6.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))))) into 0 6.548 * [backup-simplify]: Simplify 0 into 0 6.548 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 6.548 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- x)) (- 1.0 (cos (/ 1 (- x)))))) into (* -1 (* (- 1.0 (cos (/ -1 x))) x)) 6.548 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 6.548 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 6.548 * [taylor]: Taking taylor expansion of -1 in x 6.548 * [backup-simplify]: Simplify -1 into -1 6.548 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 6.548 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.548 * [taylor]: Taking taylor expansion of 1.0 in x 6.548 * [backup-simplify]: Simplify 1.0 into 1.0 6.548 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.548 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.548 * [taylor]: Taking taylor expansion of -1 in x 6.548 * [backup-simplify]: Simplify -1 into -1 6.548 * [taylor]: Taking taylor expansion of x in x 6.548 * [backup-simplify]: Simplify 0 into 0 6.548 * [backup-simplify]: Simplify 1 into 1 6.549 * [backup-simplify]: Simplify (/ -1 1) into -1 6.549 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.549 * [taylor]: Taking taylor expansion of x in x 6.549 * [backup-simplify]: Simplify 0 into 0 6.549 * [backup-simplify]: Simplify 1 into 1 6.549 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 6.549 * [taylor]: Taking taylor expansion of -1 in x 6.549 * [backup-simplify]: Simplify -1 into -1 6.549 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 6.549 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.549 * [taylor]: Taking taylor expansion of 1.0 in x 6.549 * [backup-simplify]: Simplify 1.0 into 1.0 6.549 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.549 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.549 * [taylor]: Taking taylor expansion of -1 in x 6.549 * [backup-simplify]: Simplify -1 into -1 6.549 * [taylor]: Taking taylor expansion of x in x 6.549 * [backup-simplify]: Simplify 0 into 0 6.549 * [backup-simplify]: Simplify 1 into 1 6.550 * [backup-simplify]: Simplify (/ -1 1) into -1 6.550 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.550 * [taylor]: Taking taylor expansion of x in x 6.550 * [backup-simplify]: Simplify 0 into 0 6.550 * [backup-simplify]: Simplify 1 into 1 6.550 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.550 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.550 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 6.551 * [backup-simplify]: Simplify (* -1 0) into 0 6.551 * [backup-simplify]: Simplify 0 into 0 6.551 * [backup-simplify]: Simplify (- 0) into 0 6.551 * [backup-simplify]: Simplify (+ 0 0) into 0 6.552 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 6.552 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 6.552 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 6.553 * [backup-simplify]: Simplify (- 0) into 0 6.553 * [backup-simplify]: Simplify (+ 0 0) into 0 6.554 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 6.555 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 6.555 * [backup-simplify]: Simplify 0 into 0 6.555 * [backup-simplify]: Simplify (- 0) into 0 6.556 * [backup-simplify]: Simplify (+ 0 0) into 0 6.557 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.558 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify (- 0) into 0 6.558 * [backup-simplify]: Simplify (+ 0 0) into 0 6.559 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.561 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 6.561 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify (- 0) into 0 6.562 * [backup-simplify]: Simplify (+ 0 0) into 0 6.563 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.564 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 6.564 * [backup-simplify]: Simplify 0 into 0 6.565 * [backup-simplify]: Simplify (- 0) into 0 6.565 * [backup-simplify]: Simplify (+ 0 0) into 0 6.566 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.568 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 6.568 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify (- 0) into 0 6.569 * [backup-simplify]: Simplify (+ 0 0) into 0 6.570 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.573 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))))) into 0 6.573 * [backup-simplify]: Simplify 0 into 0 6.573 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 6.573 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 6.574 * [backup-simplify]: Simplify (/ x (- 1.0 (cos x))) into (/ x (- 1.0 (cos x))) 6.574 * [approximate]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in (x) around 0 6.574 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in x 6.574 * [taylor]: Taking taylor expansion of x in x 6.574 * [backup-simplify]: Simplify 0 into 0 6.574 * [backup-simplify]: Simplify 1 into 1 6.574 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.574 * [taylor]: Taking taylor expansion of 1.0 in x 6.574 * [backup-simplify]: Simplify 1.0 into 1.0 6.574 * [taylor]: Taking taylor expansion of (cos x) in x 6.574 * [taylor]: Taking taylor expansion of x in x 6.574 * [backup-simplify]: Simplify 0 into 0 6.574 * [backup-simplify]: Simplify 1 into 1 6.574 * [backup-simplify]: Simplify (- 1) into -1 6.575 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.575 * [backup-simplify]: Simplify (+ 0) into 0 6.575 * [backup-simplify]: Simplify (- 0) into 0 6.576 * [backup-simplify]: Simplify (+ 0 0) into 0 6.577 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.577 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.577 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.578 * [backup-simplify]: Simplify (/ 1 1/2) into 2 6.578 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in x 6.578 * [taylor]: Taking taylor expansion of x in x 6.578 * [backup-simplify]: Simplify 0 into 0 6.578 * [backup-simplify]: Simplify 1 into 1 6.578 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.578 * [taylor]: Taking taylor expansion of 1.0 in x 6.578 * [backup-simplify]: Simplify 1.0 into 1.0 6.578 * [taylor]: Taking taylor expansion of (cos x) in x 6.578 * [taylor]: Taking taylor expansion of x in x 6.578 * [backup-simplify]: Simplify 0 into 0 6.578 * [backup-simplify]: Simplify 1 into 1 6.578 * [backup-simplify]: Simplify (- 1) into -1 6.579 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.579 * [backup-simplify]: Simplify (+ 0) into 0 6.579 * [backup-simplify]: Simplify (- 0) into 0 6.580 * [backup-simplify]: Simplify (+ 0 0) into 0 6.580 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.581 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.581 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.581 * [backup-simplify]: Simplify (/ 1 1/2) into 2 6.582 * [backup-simplify]: Simplify 2 into 2 6.583 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.583 * [backup-simplify]: Simplify (- 0) into 0 6.583 * [backup-simplify]: Simplify (+ 0 0) into 0 6.584 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)))) into 0 6.584 * [backup-simplify]: Simplify 0 into 0 6.587 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 6.587 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.587 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.589 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into 1/6 6.589 * [backup-simplify]: Simplify 1/6 into 1/6 6.591 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.592 * [backup-simplify]: Simplify (- 0) into 0 6.592 * [backup-simplify]: Simplify (+ 0 0) into 0 6.594 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)) (* 0 (/ -1/24 1/2)) (* 1/6 (/ 0 1/2)))) into 0 6.594 * [backup-simplify]: Simplify 0 into 0 6.599 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 6.599 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.600 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.602 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 1/720 1/2)) (* 0 (/ 0 1/2)) (* 1/6 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into 1/120 6.602 * [backup-simplify]: Simplify 1/120 into 1/120 6.603 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 3)) (+ (* 1/6 x) (* 2 (/ 1 x)))) into (+ (* 1/120 (pow x 3)) (+ (* 2 (/ 1 x)) (* 1/6 x))) 6.603 * [backup-simplify]: Simplify (/ (/ 1 x) (- 1.0 (cos (/ 1 x)))) into (/ 1 (* x (- 1.0 (cos (/ 1 x))))) 6.603 * [approximate]: Taking taylor expansion of (/ 1 (* x (- 1.0 (cos (/ 1 x))))) in (x) around 0 6.603 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (cos (/ 1 x))))) in x 6.603 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 6.603 * [taylor]: Taking taylor expansion of x in x 6.603 * [backup-simplify]: Simplify 0 into 0 6.603 * [backup-simplify]: Simplify 1 into 1 6.603 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.603 * [taylor]: Taking taylor expansion of 1.0 in x 6.603 * [backup-simplify]: Simplify 1.0 into 1.0 6.603 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.603 * [taylor]: Taking taylor expansion of x in x 6.603 * [backup-simplify]: Simplify 0 into 0 6.603 * [backup-simplify]: Simplify 1 into 1 6.604 * [backup-simplify]: Simplify (/ 1 1) into 1 6.604 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.604 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.604 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.604 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 6.605 * [backup-simplify]: Simplify (- 0) into 0 6.605 * [backup-simplify]: Simplify (+ 0 0) into 0 6.606 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 6.606 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 6.606 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (cos (/ 1 x))))) in x 6.606 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 6.606 * [taylor]: Taking taylor expansion of x in x 6.606 * [backup-simplify]: Simplify 0 into 0 6.606 * [backup-simplify]: Simplify 1 into 1 6.606 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.606 * [taylor]: Taking taylor expansion of 1.0 in x 6.606 * [backup-simplify]: Simplify 1.0 into 1.0 6.606 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.606 * [taylor]: Taking taylor expansion of x in x 6.606 * [backup-simplify]: Simplify 0 into 0 6.606 * [backup-simplify]: Simplify 1 into 1 6.607 * [backup-simplify]: Simplify (/ 1 1) into 1 6.607 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.607 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.607 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.607 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 6.608 * [backup-simplify]: Simplify (- 0) into 0 6.608 * [backup-simplify]: Simplify (+ 0 0) into 0 6.609 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 6.609 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 6.609 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 6.610 * [backup-simplify]: Simplify (- 0) into 0 6.610 * [backup-simplify]: Simplify (+ 0 0) into 0 6.611 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 6.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 6.611 * [backup-simplify]: Simplify 0 into 0 6.612 * [backup-simplify]: Simplify (- 0) into 0 6.612 * [backup-simplify]: Simplify (+ 0 0) into 0 6.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 6.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify (- 0) into 0 6.615 * [backup-simplify]: Simplify (+ 0 0) into 0 6.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 6.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 6.618 * [backup-simplify]: Simplify 0 into 0 6.619 * [backup-simplify]: Simplify (- 0) into 0 6.619 * [backup-simplify]: Simplify (+ 0 0) into 0 6.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 6.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 6.622 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify (- 0) into 0 6.623 * [backup-simplify]: Simplify (+ 0 0) into 0 6.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 6.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 6.627 * [backup-simplify]: Simplify 0 into 0 6.627 * [backup-simplify]: Simplify (- 0) into 0 6.627 * [backup-simplify]: Simplify (+ 0 0) into 0 6.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))))) into 0 6.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 6.631 * [backup-simplify]: Simplify 0 into 0 6.631 * [backup-simplify]: Simplify (* (/ 1 (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 (/ 1 x))) into (/ x (- 1.0 (cos x))) 6.631 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (- 1.0 (cos (/ 1 (- x))))) into (/ -1 (* (- 1.0 (cos (/ -1 x))) x)) 6.631 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 6.631 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 6.631 * [taylor]: Taking taylor expansion of -1 in x 6.631 * [backup-simplify]: Simplify -1 into -1 6.632 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 6.632 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.632 * [taylor]: Taking taylor expansion of 1.0 in x 6.632 * [backup-simplify]: Simplify 1.0 into 1.0 6.632 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.632 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.632 * [taylor]: Taking taylor expansion of -1 in x 6.632 * [backup-simplify]: Simplify -1 into -1 6.632 * [taylor]: Taking taylor expansion of x in x 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify 1 into 1 6.632 * [backup-simplify]: Simplify (/ -1 1) into -1 6.632 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.632 * [taylor]: Taking taylor expansion of x in x 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify 1 into 1 6.632 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.633 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.633 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 6.633 * [backup-simplify]: Simplify (- 0) into 0 6.633 * [backup-simplify]: Simplify (+ 0 0) into 0 6.634 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 6.634 * [backup-simplify]: Simplify (/ -1 (- 1.0 (cos (/ -1 x)))) into (/ -1 (- 1.0 (cos (/ -1 x)))) 6.634 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 6.634 * [taylor]: Taking taylor expansion of -1 in x 6.634 * [backup-simplify]: Simplify -1 into -1 6.634 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 6.634 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.634 * [taylor]: Taking taylor expansion of 1.0 in x 6.634 * [backup-simplify]: Simplify 1.0 into 1.0 6.634 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.634 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.634 * [taylor]: Taking taylor expansion of -1 in x 6.634 * [backup-simplify]: Simplify -1 into -1 6.634 * [taylor]: Taking taylor expansion of x in x 6.634 * [backup-simplify]: Simplify 0 into 0 6.634 * [backup-simplify]: Simplify 1 into 1 6.635 * [backup-simplify]: Simplify (/ -1 1) into -1 6.635 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.635 * [taylor]: Taking taylor expansion of x in x 6.635 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify 1 into 1 6.635 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.635 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.635 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 6.635 * [backup-simplify]: Simplify (- 0) into 0 6.636 * [backup-simplify]: Simplify (+ 0 0) into 0 6.636 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 6.636 * [backup-simplify]: Simplify (/ -1 (- 1.0 (cos (/ -1 x)))) into (/ -1 (- 1.0 (cos (/ -1 x)))) 6.637 * [backup-simplify]: Simplify (/ -1 (- 1.0 (cos (/ -1 x)))) into (/ -1 (- 1.0 (cos (/ -1 x)))) 6.637 * [backup-simplify]: Simplify (- 0) into 0 6.637 * [backup-simplify]: Simplify (+ 0 0) into 0 6.638 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 6.638 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.638 * [backup-simplify]: Simplify 0 into 0 6.639 * [backup-simplify]: Simplify (- 0) into 0 6.639 * [backup-simplify]: Simplify (+ 0 0) into 0 6.640 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.640 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.640 * [backup-simplify]: Simplify 0 into 0 6.641 * [backup-simplify]: Simplify (- 0) into 0 6.641 * [backup-simplify]: Simplify (+ 0 0) into 0 6.642 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.643 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.643 * [backup-simplify]: Simplify 0 into 0 6.643 * [backup-simplify]: Simplify (- 0) into 0 6.643 * [backup-simplify]: Simplify (+ 0 0) into 0 6.644 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.645 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.645 * [backup-simplify]: Simplify 0 into 0 6.645 * [backup-simplify]: Simplify (- 0) into 0 6.646 * [backup-simplify]: Simplify (+ 0 0) into 0 6.647 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.648 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.648 * [backup-simplify]: Simplify 0 into 0 6.648 * [backup-simplify]: Simplify (- 0) into 0 6.649 * [backup-simplify]: Simplify (+ 0 0) into 0 6.650 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.651 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.651 * [backup-simplify]: Simplify 0 into 0 6.651 * [backup-simplify]: Simplify (* (/ -1 (- 1.0 (cos (/ -1 (/ 1 (- x)))))) (/ 1 (/ 1 (- x)))) into (/ x (- 1.0 (cos x))) 6.651 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.651 * [backup-simplify]: Simplify (/ (/ 1 (/ x (- 1.0 (cos x)))) x) into (/ (- 1.0 (cos x)) (pow x 2)) 6.652 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 6.652 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 6.652 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.652 * [taylor]: Taking taylor expansion of 1.0 in x 6.652 * [backup-simplify]: Simplify 1.0 into 1.0 6.652 * [taylor]: Taking taylor expansion of (cos x) in x 6.652 * [taylor]: Taking taylor expansion of x in x 6.652 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify 1 into 1 6.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.652 * [taylor]: Taking taylor expansion of x in x 6.652 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify 1 into 1 6.652 * [backup-simplify]: Simplify (- 1) into -1 6.653 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.653 * [backup-simplify]: Simplify (+ 0) into 0 6.654 * [backup-simplify]: Simplify (- 0) into 0 6.654 * [backup-simplify]: Simplify (+ 0 0) into 0 6.655 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.655 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.655 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.656 * [backup-simplify]: Simplify (* 1 1) into 1 6.656 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.656 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 6.656 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.656 * [taylor]: Taking taylor expansion of 1.0 in x 6.656 * [backup-simplify]: Simplify 1.0 into 1.0 6.656 * [taylor]: Taking taylor expansion of (cos x) in x 6.656 * [taylor]: Taking taylor expansion of x in x 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify 1 into 1 6.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.656 * [taylor]: Taking taylor expansion of x in x 6.656 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify 1 into 1 6.657 * [backup-simplify]: Simplify (- 1) into -1 6.657 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.658 * [backup-simplify]: Simplify (+ 0) into 0 6.658 * [backup-simplify]: Simplify (- 0) into 0 6.658 * [backup-simplify]: Simplify (+ 0 0) into 0 6.659 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.659 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.660 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.660 * [backup-simplify]: Simplify (* 1 1) into 1 6.661 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.661 * [backup-simplify]: Simplify 1/2 into 1/2 6.662 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.662 * [backup-simplify]: Simplify (- 0) into 0 6.663 * [backup-simplify]: Simplify (+ 0 0) into 0 6.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.664 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 6.667 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.668 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.670 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 6.670 * [backup-simplify]: Simplify -1/24 into -1/24 6.672 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.672 * [backup-simplify]: Simplify (- 0) into 0 6.673 * [backup-simplify]: Simplify (+ 0 0) into 0 6.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 6.675 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 6.681 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.681 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.684 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 6.684 * [backup-simplify]: Simplify 1/720 into 1/720 6.685 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 6.685 * [backup-simplify]: Simplify (/ (/ 1 (/ (/ 1 x) (- 1.0 (cos (/ 1 x))))) (/ 1 x)) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 6.685 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 6.685 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 6.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.685 * [taylor]: Taking taylor expansion of x in x 6.685 * [backup-simplify]: Simplify 0 into 0 6.685 * [backup-simplify]: Simplify 1 into 1 6.685 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.685 * [taylor]: Taking taylor expansion of 1.0 in x 6.685 * [backup-simplify]: Simplify 1.0 into 1.0 6.685 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.685 * [taylor]: Taking taylor expansion of x in x 6.685 * [backup-simplify]: Simplify 0 into 0 6.685 * [backup-simplify]: Simplify 1 into 1 6.686 * [backup-simplify]: Simplify (/ 1 1) into 1 6.686 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.686 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 6.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.686 * [taylor]: Taking taylor expansion of x in x 6.686 * [backup-simplify]: Simplify 0 into 0 6.686 * [backup-simplify]: Simplify 1 into 1 6.686 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.686 * [taylor]: Taking taylor expansion of 1.0 in x 6.686 * [backup-simplify]: Simplify 1.0 into 1.0 6.686 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.686 * [taylor]: Taking taylor expansion of x in x 6.686 * [backup-simplify]: Simplify 0 into 0 6.686 * [backup-simplify]: Simplify 1 into 1 6.692 * [backup-simplify]: Simplify (/ 1 1) into 1 6.692 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.693 * [backup-simplify]: Simplify (* 1 1) into 1 6.694 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.694 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.694 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.694 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.694 * [backup-simplify]: Simplify (- 0) into 0 6.695 * [backup-simplify]: Simplify (+ 0 0) into 0 6.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 6.696 * [backup-simplify]: Simplify 0 into 0 6.697 * [backup-simplify]: Simplify (- 0) into 0 6.697 * [backup-simplify]: Simplify (+ 0 0) into 0 6.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 6.699 * [backup-simplify]: Simplify 0 into 0 6.699 * [backup-simplify]: Simplify (- 0) into 0 6.699 * [backup-simplify]: Simplify (+ 0 0) into 0 6.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 6.702 * [backup-simplify]: Simplify 0 into 0 6.702 * [backup-simplify]: Simplify (- 0) into 0 6.702 * [backup-simplify]: Simplify (+ 0 0) into 0 6.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 6.705 * [backup-simplify]: Simplify 0 into 0 6.705 * [backup-simplify]: Simplify (- 0) into 0 6.706 * [backup-simplify]: Simplify (+ 0 0) into 0 6.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 6.709 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify (- 0) into 0 6.709 * [backup-simplify]: Simplify (+ 0 0) into 0 6.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 6.713 * [backup-simplify]: Simplify 0 into 0 6.713 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 6.714 * [backup-simplify]: Simplify (/ (/ 1 (/ (/ 1 (- x)) (- 1.0 (cos (/ 1 (- x)))))) (/ 1 (- x))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 6.714 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 6.714 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 6.714 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.714 * [taylor]: Taking taylor expansion of 1.0 in x 6.714 * [backup-simplify]: Simplify 1.0 into 1.0 6.714 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.714 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.714 * [taylor]: Taking taylor expansion of -1 in x 6.714 * [backup-simplify]: Simplify -1 into -1 6.714 * [taylor]: Taking taylor expansion of x in x 6.714 * [backup-simplify]: Simplify 0 into 0 6.714 * [backup-simplify]: Simplify 1 into 1 6.715 * [backup-simplify]: Simplify (/ -1 1) into -1 6.715 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.715 * [taylor]: Taking taylor expansion of x in x 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 6.715 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.715 * [taylor]: Taking taylor expansion of 1.0 in x 6.715 * [backup-simplify]: Simplify 1.0 into 1.0 6.715 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.715 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.715 * [taylor]: Taking taylor expansion of -1 in x 6.715 * [backup-simplify]: Simplify -1 into -1 6.715 * [taylor]: Taking taylor expansion of x in x 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [backup-simplify]: Simplify (/ -1 1) into -1 6.715 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.716 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.716 * [taylor]: Taking taylor expansion of x in x 6.716 * [backup-simplify]: Simplify 0 into 0 6.716 * [backup-simplify]: Simplify 1 into 1 6.716 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.716 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.716 * [backup-simplify]: Simplify (* 1 1) into 1 6.716 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 6.716 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 6.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.717 * [backup-simplify]: Simplify (- 0) into 0 6.718 * [backup-simplify]: Simplify (+ 0 0) into 0 6.718 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 6.718 * [backup-simplify]: Simplify 0 into 0 6.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.719 * [backup-simplify]: Simplify (- 0) into 0 6.720 * [backup-simplify]: Simplify (+ 0 0) into 0 6.720 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 6.720 * [backup-simplify]: Simplify 0 into 0 6.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.722 * [backup-simplify]: Simplify (- 0) into 0 6.722 * [backup-simplify]: Simplify (+ 0 0) into 0 6.723 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.723 * [backup-simplify]: Simplify 0 into 0 6.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.724 * [backup-simplify]: Simplify (- 0) into 0 6.725 * [backup-simplify]: Simplify (+ 0 0) into 0 6.726 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.726 * [backup-simplify]: Simplify 0 into 0 6.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.727 * [backup-simplify]: Simplify (- 0) into 0 6.728 * [backup-simplify]: Simplify (+ 0 0) into 0 6.729 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.729 * [backup-simplify]: Simplify 0 into 0 6.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.731 * [backup-simplify]: Simplify (- 0) into 0 6.732 * [backup-simplify]: Simplify (+ 0 0) into 0 6.733 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.733 * [backup-simplify]: Simplify 0 into 0 6.733 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 6.733 * * * [progress]: simplifying candidates 6.749 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ 1 (/ x (- 1.0 (cos x))))) (log1p (/ 1 (/ x (- 1.0 (cos x))))) (- 1) (- (- (log x) (log (- 1.0 (cos x))))) (- (log (/ x (- 1.0 (cos x))))) (- 0 (- (log x) (log (- 1.0 (cos x))))) (- 0 (log (/ x (- 1.0 (cos x))))) (- (log 1) (- (log x) (log (- 1.0 (cos x))))) (- (log 1) (log (/ x (- 1.0 (cos x))))) (log (/ 1 (/ x (- 1.0 (cos x))))) (exp (/ 1 (/ x (- 1.0 (cos x))))) (/ (* (* 1 1) 1) (/ (* (* x x) x) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))))) (/ (* (* 1 1) 1) (* (* (/ x (- 1.0 (cos x))) (/ x (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))))) (* (cbrt (/ 1 (/ x (- 1.0 (cos x))))) (cbrt (/ 1 (/ x (- 1.0 (cos x)))))) (cbrt (/ 1 (/ x (- 1.0 (cos x))))) (* (* (/ 1 (/ x (- 1.0 (cos x)))) (/ 1 (/ x (- 1.0 (cos x))))) (/ 1 (/ x (- 1.0 (cos x))))) (sqrt (/ 1 (/ x (- 1.0 (cos x))))) (sqrt (/ 1 (/ x (- 1.0 (cos x))))) (- 1) (- (/ x (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ x (- 1.0 (cos x)))) (cbrt (/ x (- 1.0 (cos x)))))) (/ (cbrt 1) (cbrt (/ x (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ x (- 1.0 (cos x))))) (/ (cbrt 1) (sqrt (/ x (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ (cbrt 1) (/ (cbrt x) (cbrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 (cos x))))) (/ (cbrt 1) (/ (cbrt x) (sqrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt 1) (/ (cbrt x) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt (cos x))))) (/ (cbrt 1) (/ (cbrt x) (- (sqrt 1.0) (sqrt (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt 1) (/ (cbrt x) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ (cbrt 1) (/ (sqrt x) (cbrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (/ (cbrt 1) (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt x) 1)) (/ (cbrt 1) (/ (sqrt x) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt x) (+ (sqrt 1.0) (sqrt (cos x))))) (/ (cbrt 1) (/ (sqrt x) (- (sqrt 1.0) (sqrt (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt x) 1)) (/ (cbrt 1) (/ (sqrt x) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ (cbrt 1) (/ x (cbrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (- 1.0 (cos x))))) (/ (cbrt 1) (/ x (sqrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ x (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (+ (sqrt 1.0) (sqrt (cos x))))) (/ (cbrt 1) (/ x (- (sqrt 1.0) (sqrt (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ x (- 1.0 (cos x)))) (/ (* (cbrt 1) 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(sqrt x) (sqrt (- 1.0 (cos x)))))) (/ x (/ 1 (/ (sqrt x) (- 1.0 (cos x))))) (/ x (/ 1 (/ (sqrt x) (- (sqrt 1.0) (sqrt (cos x)))))) (/ x (/ 1 (/ (sqrt x) (- 1.0 (cos x))))) (/ x (/ 1 (/ x (cbrt (- 1.0 (cos x)))))) (/ x (/ 1 (/ x (sqrt (- 1.0 (cos x)))))) (/ x (/ 1 (/ x (- 1.0 (cos x))))) (/ x (/ 1 (/ x (- (sqrt 1.0) (sqrt (cos x)))))) (/ x (/ 1 (/ x (- 1.0 (cos x))))) (/ x (/ 1 (/ x (- 1.0 (cos x))))) (/ x (/ 1 (/ 1 (- 1.0 (cos x))))) (/ x (/ 1 (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (/ x (/ 1 (+ 1.0 (cos x)))) (/ x (/ 1 (/ x (- 1.0 (cos x))))) (/ x (/ 1 (/ x (- 1.0 (cos x))))) (/ x (- 1.0 (cos x))) (* 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)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (+ (* 1/120 (pow x 3)) (+ (* 2 (/ 1 x)) (* 1/6 x))) (/ x (- 1.0 (cos x))) (/ 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)) 6.776 * * [simplify]: Extracting # 0 : cost 0 6.779 * * [simplify]: Extracting # 1 : cost 0 6.782 * * [simplify]: Extracting # 2 : cost 0 6.785 * * [simplify]: Extracting # 3 : cost 0 6.787 * * [simplify]: Extracting # 4 : cost 0 6.790 * * [simplify]: Extracting # 5 : cost 0 6.793 * * [simplify]: Extracting # 6 : cost 0 6.796 * * [simplify]: Extracting # 7 : cost 0 6.799 * * [simplify]: iteration 0 : 675 enodes (cost 9667 ) 8.074 * * [simplify]: Extracting # 0 : cost 0 8.083 * * [simplify]: Extracting # 1 : cost 0 8.087 * * [simplify]: Extracting # 2 : cost 0 8.091 * * [simplify]: Extracting # 3 : cost 0 8.096 * * [simplify]: Extracting # 4 : cost 0 8.100 * * [simplify]: iteration 1 : 1903 enodes (cost 8194 ) 8.861 * * [simplify]: Extracting # 0 : cost 0 8.872 * * [simplify]: Extracting # 1 : cost 0 8.882 * * [simplify]: Extracting # 2 : cost 0 8.891 * * [simplify]: Extracting # 3 : cost 0 8.902 * * [simplify]: Extracting # 4 : cost 0 8.913 * * [simplify]: iteration done: 5000 enodes (cost 7687 ) 8.919 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (cos x))) (+ (- (cos x)) (cos x)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (cos x))) (+ (- (cos x)) (cos x)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (cos x))) (+ (- (cos x)) (cos x)) (- 1.0 (cos x)) (+ (- (cos x)) (cos x)) (- 1.0 (cos x)) (+ (- (cos x)) (cos x)) (- 1.0 (cos x)) (+ (- (cos x)) (cos x)) (- 1.0 (cos x)) (+ (- (cos x)) (cos x)) (- 1.0 (cos x)) (+ (- (cos x)) (cos x)) (- 1.0 (cos x)) (+ (- (cos x)) (cos x)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos 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(/ (/ 1 (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ 1 (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (/ (/ 1 (/ (sqrt x) (sqrt (- 1.0 (cos x))))) x) (/ 1 (* (* (cbrt x) (cbrt x)) (sqrt x))) (/ (/ 1 (/ (sqrt x) (- 1.0 (cos x)))) (cbrt x)) (/ 1 x) (/ (/ 1 (/ (sqrt x) (- 1.0 (cos x)))) (sqrt x)) (/ 1 (sqrt x)) (/ (/ 1 (/ (sqrt x) (- 1.0 (cos x)))) x) (/ (/ 1 (/ (sqrt x) (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt x) (cbrt x))) (/ (/ 1 (/ (sqrt x) (- (sqrt 1.0) (sqrt (cos x))))) (cbrt x)) (/ (/ 1 (/ (sqrt x) (+ (sqrt 1.0) (sqrt (cos x))))) (sqrt x)) (/ (/ 1 (/ (sqrt x) (- (sqrt 1.0) (sqrt (cos x))))) (sqrt x)) (/ 1 (/ (sqrt x) (+ (sqrt 1.0) (sqrt (cos x))))) (/ (/ 1 (/ (sqrt x) (- (sqrt 1.0) (sqrt (cos x))))) x) (/ 1 (* (* (cbrt x) (cbrt x)) (sqrt x))) (/ (/ 1 (/ (sqrt x) (- 1.0 (cos x)))) (cbrt x)) (/ 1 x) (/ (/ 1 (/ (sqrt x) (- 1.0 (cos x)))) (sqrt x)) (/ 1 (sqrt x)) (/ (/ 1 (/ (sqrt x) (- 1.0 (cos x)))) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (/ 1 (/ x (cbrt (- 1.0 (cos x))))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (/ 1 (/ x (cbrt (- 1.0 (cos x))))) (sqrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (/ 1 (/ x (cbrt (- 1.0 (cos x))))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ 1 (/ x (sqrt (- 1.0 (cos x))))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (/ 1 (/ x (sqrt (- 1.0 (cos x))))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (/ 1 (/ x (sqrt (- 1.0 (cos x))))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (/ (- 1.0 (cos x)) x) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (/ 1 (/ x (- (sqrt 1.0) (sqrt (cos x))))) (cbrt x)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt x)) (/ (/ 1 (/ x (- (sqrt 1.0) (sqrt (cos x))))) (sqrt x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ (/ 1 (/ x (- (sqrt 1.0) (sqrt (cos x))))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (/ (- 1.0 (cos x)) x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (/ (- 1.0 (cos x)) x) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ (/ 1 x) (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (/ 1 (/ x (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt x) (cbrt x))) (/ (/ 1 (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0)))) (cbrt x)) (/ (/ 1 (/ x (- (pow 1.0 3) (pow (cos x) 3)))) (sqrt x)) (/ 1 (* (sqrt x) (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0))))) (/ 1 (/ x (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (* x (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0))))) (/ (/ 1 (/ x (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt x) (cbrt x))) (/ (/ 1 (+ 1.0 (cos x))) (cbrt x)) (/ (/ 1 (/ x (- (* 1.0 1.0) (* (cos x) (cos x))))) (sqrt x)) (/ (/ 1 (+ 1.0 (cos x))) (sqrt x)) (/ 1 (/ x (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (/ 1 (+ 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (/ (- 1.0 (cos x)) x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (/ (- 1.0 (cos x)) x) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ (/ 1 x) (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 x) (* x (/ x (- 1.0 (cos x)))) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (* x (cbrt (/ x (- 1.0 (cos x))))) (* x (sqrt (/ x (- 1.0 (cos x))))) (* x (/ (cbrt x) (cbrt (- 1.0 (cos x))))) (* x (/ (cbrt x) (sqrt (- 1.0 (cos x))))) (* x (/ (cbrt x) (- 1.0 (cos x)))) (* x (/ (cbrt x) (- (sqrt 1.0) (sqrt (cos x))))) (* x (/ (cbrt x) (- 1.0 (cos x)))) (* x (/ (sqrt x) (cbrt (- 1.0 (cos x))))) (* x (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (* x (/ (sqrt x) (- 1.0 (cos x)))) (* x (/ (sqrt x) (- (sqrt 1.0) (sqrt (cos x))))) (* x (/ (sqrt x) (- 1.0 (cos x)))) (* x (/ x (cbrt (- 1.0 (cos x))))) (* x (/ x (sqrt (- 1.0 (cos x))))) (* x (/ x (- 1.0 (cos x)))) (* x (/ x (- (sqrt 1.0) (sqrt (cos x))))) (* x (/ x (- 1.0 (cos x)))) (* x (/ x (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (* x (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0)))) (* x (+ 1.0 (cos x))) (* x (cbrt (/ x (- 1.0 (cos x))))) (* x (sqrt (/ x (- 1.0 (cos x))))) (* x (/ (cbrt x) (cbrt (- 1.0 (cos x))))) (* x (/ (cbrt x) (sqrt (- 1.0 (cos x))))) (* x (/ (cbrt x) (- 1.0 (cos x)))) (* x (/ (cbrt x) (- (sqrt 1.0) (sqrt (cos x))))) (* x (/ (cbrt x) (- 1.0 (cos x)))) (* x (/ (sqrt x) (cbrt (- 1.0 (cos x))))) (* x (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (* x (/ (sqrt x) (- 1.0 (cos x)))) (* x (/ (sqrt x) (- (sqrt 1.0) (sqrt (cos x))))) (* x (/ (sqrt x) (- 1.0 (cos x)))) (* x (/ x (cbrt (- 1.0 (cos x))))) (* x (/ x (sqrt (- 1.0 (cos x))))) (* x (/ x (- 1.0 (cos x)))) (* x (/ x (- (sqrt 1.0) (sqrt (cos x))))) (* x (/ x (- 1.0 (cos x)))) (* x (/ x (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (* x (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0)))) (* x (+ 1.0 (cos x))) (* x (cbrt (/ x (- 1.0 (cos x))))) (* x (sqrt (/ x (- 1.0 (cos x))))) (* x (/ (cbrt x) (cbrt (- 1.0 (cos x))))) (* x (/ (cbrt x) (sqrt (- 1.0 (cos x))))) (* x (/ (cbrt x) (- 1.0 (cos x)))) (* x (/ (cbrt x) (- (sqrt 1.0) (sqrt (cos x))))) (* x (/ (cbrt x) (- 1.0 (cos x)))) (* x (/ (sqrt x) (cbrt (- 1.0 (cos x))))) (* x (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (* x (/ (sqrt x) (- 1.0 (cos x)))) (* x (/ (sqrt x) (- (sqrt 1.0) (sqrt (cos x))))) (* x (/ (sqrt x) (- 1.0 (cos x)))) (* x (/ x (cbrt (- 1.0 (cos x))))) (* x (/ x (sqrt (- 1.0 (cos x))))) (* x (/ x (- 1.0 (cos x)))) (* x (/ x (- (sqrt 1.0) (sqrt (cos x))))) (* x (/ x (- 1.0 (cos x)))) (* x (/ x (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (* x (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0)))) (* x (+ 1.0 (cos x))) (* x (/ x (- 1.0 (cos x)))) (* x (/ x (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (* x (/ x (- 1.0 (cos x)))) (- (fma 1/2 (pow x 2) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (fma 1/2 x (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (- (/ (- (cos x) 1.0) x)) (fma (pow x 3) 1/120 (fma x 1/6 (/ 2 x))) (/ x (- 1.0 (cos x))) (/ x (- 1.0 (cos x))) (- (fma 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)) 8.926 * * * [progress]: adding candidates to table 10.527 * * [progress]: iteration 4 / 4 10.527 * * * [progress]: picking best candidate 10.582 * * * * [pick]: Picked # 10.582 * * * [progress]: localizing error 10.605 * * * [progress]: generating rewritten candidates 10.605 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 10.625 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 10.653 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 10.671 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 10.822 * * * [progress]: generating series expansions 10.822 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 10.823 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 10.823 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 10.823 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 10.823 * [taylor]: Taking taylor expansion of 1.0 in x 10.823 * [backup-simplify]: Simplify 1.0 into 1.0 10.823 * [taylor]: Taking taylor expansion of (cos x) in x 10.823 * [taylor]: Taking taylor expansion of x in x 10.823 * [backup-simplify]: Simplify 0 into 0 10.823 * [backup-simplify]: Simplify 1 into 1 10.823 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 10.823 * [taylor]: Taking taylor expansion of 1.0 in x 10.823 * [backup-simplify]: Simplify 1.0 into 1.0 10.823 * [taylor]: Taking taylor expansion of (cos x) in x 10.823 * [taylor]: Taking taylor expansion of x in x 10.823 * [backup-simplify]: Simplify 0 into 0 10.823 * [backup-simplify]: Simplify 1 into 1 10.824 * [backup-simplify]: Simplify (- 1) into -1 10.824 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 10.824 * [backup-simplify]: Simplify 0 into 0 10.824 * [backup-simplify]: Simplify (+ 0) into 0 10.825 * [backup-simplify]: Simplify (- 0) into 0 10.825 * [backup-simplify]: Simplify (+ 0 0) into 0 10.825 * [backup-simplify]: Simplify 0 into 0 10.826 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 10.826 * [backup-simplify]: Simplify (- -1/2) into 1/2 10.827 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.827 * [backup-simplify]: Simplify 1/2 into 1/2 10.828 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.828 * [backup-simplify]: Simplify (- 0) into 0 10.828 * [backup-simplify]: Simplify (+ 0 0) into 0 10.828 * [backup-simplify]: Simplify 0 into 0 10.830 * [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 10.831 * [backup-simplify]: Simplify (- 1/24) into -1/24 10.831 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 10.831 * [backup-simplify]: Simplify -1/24 into -1/24 10.833 * [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 10.834 * [backup-simplify]: Simplify (- 0) into 0 10.834 * [backup-simplify]: Simplify (+ 0 0) into 0 10.834 * [backup-simplify]: Simplify 0 into 0 10.838 * [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 10.838 * [backup-simplify]: Simplify (- -1/720) into 1/720 10.839 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 10.839 * [backup-simplify]: Simplify 1/720 into 1/720 10.839 * [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))) 10.839 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 10.839 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 10.840 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 10.840 * [taylor]: Taking taylor expansion of 1.0 in x 10.840 * [backup-simplify]: Simplify 1.0 into 1.0 10.840 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 10.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.840 * [taylor]: Taking taylor expansion of x in x 10.840 * [backup-simplify]: Simplify 0 into 0 10.840 * [backup-simplify]: Simplify 1 into 1 10.840 * [backup-simplify]: Simplify (/ 1 1) into 1 10.840 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 10.840 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 10.840 * [taylor]: Taking taylor expansion of 1.0 in x 10.840 * [backup-simplify]: Simplify 1.0 into 1.0 10.840 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 10.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.840 * [taylor]: Taking taylor expansion of x in x 10.840 * [backup-simplify]: Simplify 0 into 0 10.840 * [backup-simplify]: Simplify 1 into 1 10.841 * [backup-simplify]: Simplify (/ 1 1) into 1 10.841 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 10.841 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 10.841 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 10.841 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 10.841 * [backup-simplify]: Simplify (- 0) into 0 10.842 * [backup-simplify]: Simplify (+ 0 0) into 0 10.842 * [backup-simplify]: Simplify 0 into 0 10.842 * [backup-simplify]: Simplify (- 0) into 0 10.842 * [backup-simplify]: Simplify (+ 0 0) into 0 10.842 * [backup-simplify]: Simplify 0 into 0 10.843 * [backup-simplify]: Simplify (- 0) into 0 10.843 * [backup-simplify]: Simplify (+ 0 0) into 0 10.843 * [backup-simplify]: Simplify 0 into 0 10.843 * [backup-simplify]: Simplify (- 0) into 0 10.844 * [backup-simplify]: Simplify (+ 0 0) into 0 10.844 * [backup-simplify]: Simplify 0 into 0 10.844 * [backup-simplify]: Simplify (- 0) into 0 10.844 * [backup-simplify]: Simplify (+ 0 0) into 0 10.844 * [backup-simplify]: Simplify 0 into 0 10.845 * [backup-simplify]: Simplify (- 0) into 0 10.845 * [backup-simplify]: Simplify (+ 0 0) into 0 10.845 * [backup-simplify]: Simplify 0 into 0 10.845 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 10.845 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 10.845 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 10.845 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 10.845 * [taylor]: Taking taylor expansion of 1.0 in x 10.845 * [backup-simplify]: Simplify 1.0 into 1.0 10.845 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 10.846 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.846 * [taylor]: Taking taylor expansion of -1 in x 10.846 * [backup-simplify]: Simplify -1 into -1 10.846 * [taylor]: Taking taylor expansion of x in x 10.846 * [backup-simplify]: Simplify 0 into 0 10.846 * [backup-simplify]: Simplify 1 into 1 10.846 * [backup-simplify]: Simplify (/ -1 1) into -1 10.846 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 10.846 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 10.846 * [taylor]: Taking taylor expansion of 1.0 in x 10.846 * [backup-simplify]: Simplify 1.0 into 1.0 10.846 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 10.846 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.846 * [taylor]: Taking taylor expansion of -1 in x 10.846 * [backup-simplify]: Simplify -1 into -1 10.846 * [taylor]: Taking taylor expansion of x in x 10.846 * [backup-simplify]: Simplify 0 into 0 10.846 * [backup-simplify]: Simplify 1 into 1 10.847 * [backup-simplify]: Simplify (/ -1 1) into -1 10.847 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 10.847 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 10.847 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 10.847 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 10.848 * [backup-simplify]: Simplify (- 0) into 0 10.848 * [backup-simplify]: Simplify (+ 0 0) into 0 10.848 * [backup-simplify]: Simplify 0 into 0 10.848 * [backup-simplify]: Simplify (- 0) into 0 10.849 * [backup-simplify]: Simplify (+ 0 0) into 0 10.849 * [backup-simplify]: Simplify 0 into 0 10.849 * [backup-simplify]: Simplify (- 0) into 0 10.849 * [backup-simplify]: Simplify (+ 0 0) into 0 10.849 * [backup-simplify]: Simplify 0 into 0 10.850 * [backup-simplify]: Simplify (- 0) into 0 10.850 * [backup-simplify]: Simplify (+ 0 0) into 0 10.850 * [backup-simplify]: Simplify 0 into 0 10.850 * [backup-simplify]: Simplify (- 0) into 0 10.851 * [backup-simplify]: Simplify (+ 0 0) into 0 10.851 * [backup-simplify]: Simplify 0 into 0 10.851 * [backup-simplify]: Simplify (- 0) into 0 10.851 * [backup-simplify]: Simplify (+ 0 0) into 0 10.851 * [backup-simplify]: Simplify 0 into 0 10.851 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 10.851 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 10.852 * [backup-simplify]: Simplify (/ 1 (/ x (- 1.0 (cos x)))) into (/ (- 1.0 (cos x)) x) 10.852 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 10.852 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 10.852 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 10.852 * [taylor]: Taking taylor expansion of 1.0 in x 10.852 * [backup-simplify]: Simplify 1.0 into 1.0 10.852 * [taylor]: Taking taylor expansion of (cos x) in x 10.852 * [taylor]: Taking taylor expansion of x in x 10.852 * [backup-simplify]: Simplify 0 into 0 10.852 * [backup-simplify]: Simplify 1 into 1 10.852 * [taylor]: Taking taylor expansion of x in x 10.852 * [backup-simplify]: Simplify 0 into 0 10.852 * [backup-simplify]: Simplify 1 into 1 10.852 * [backup-simplify]: Simplify (- 1) into -1 10.853 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 10.853 * [backup-simplify]: Simplify (+ 0) into 0 10.853 * [backup-simplify]: Simplify (- 0) into 0 10.854 * [backup-simplify]: Simplify (+ 0 0) into 0 10.854 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 10.855 * [backup-simplify]: Simplify (- -1/2) into 1/2 10.855 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.856 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.856 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 10.856 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 10.856 * [taylor]: Taking taylor expansion of 1.0 in x 10.856 * [backup-simplify]: Simplify 1.0 into 1.0 10.856 * [taylor]: Taking taylor expansion of (cos x) in x 10.856 * [taylor]: Taking taylor expansion of x in x 10.856 * [backup-simplify]: Simplify 0 into 0 10.856 * [backup-simplify]: Simplify 1 into 1 10.856 * [taylor]: Taking taylor expansion of x in x 10.856 * [backup-simplify]: Simplify 0 into 0 10.856 * [backup-simplify]: Simplify 1 into 1 10.856 * [backup-simplify]: Simplify (- 1) into -1 10.856 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 10.857 * [backup-simplify]: Simplify (+ 0) into 0 10.857 * [backup-simplify]: Simplify (- 0) into 0 10.857 * [backup-simplify]: Simplify (+ 0 0) into 0 10.858 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 10.859 * [backup-simplify]: Simplify (- -1/2) into 1/2 10.859 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.859 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.860 * [backup-simplify]: Simplify 1/2 into 1/2 10.861 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.861 * [backup-simplify]: Simplify (- 0) into 0 10.862 * [backup-simplify]: Simplify (+ 0 0) into 0 10.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.862 * [backup-simplify]: Simplify 0 into 0 10.865 * [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 10.866 * [backup-simplify]: Simplify (- 1/24) into -1/24 10.866 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 10.868 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 10.868 * [backup-simplify]: Simplify -1/24 into -1/24 10.870 * [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 10.871 * [backup-simplify]: Simplify (- 0) into 0 10.871 * [backup-simplify]: Simplify (+ 0 0) into 0 10.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 10.872 * [backup-simplify]: Simplify 0 into 0 10.878 * [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 10.879 * [backup-simplify]: Simplify (- -1/720) into 1/720 10.879 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 10.881 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 10.881 * [backup-simplify]: Simplify 1/720 into 1/720 10.881 * [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))) 10.882 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 x) (- 1.0 (cos (/ 1 x))))) into (* x (- 1.0 (cos (/ 1 x)))) 10.882 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 10.882 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 10.882 * [taylor]: Taking taylor expansion of x in x 10.882 * [backup-simplify]: Simplify 0 into 0 10.882 * [backup-simplify]: Simplify 1 into 1 10.882 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 10.882 * [taylor]: Taking taylor expansion of 1.0 in x 10.882 * [backup-simplify]: Simplify 1.0 into 1.0 10.882 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 10.882 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.882 * [taylor]: Taking taylor expansion of x in x 10.882 * [backup-simplify]: Simplify 0 into 0 10.882 * [backup-simplify]: Simplify 1 into 1 10.883 * [backup-simplify]: Simplify (/ 1 1) into 1 10.883 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 10.883 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 10.883 * [taylor]: Taking taylor expansion of x in x 10.883 * [backup-simplify]: Simplify 0 into 0 10.883 * [backup-simplify]: Simplify 1 into 1 10.883 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 10.883 * [taylor]: Taking taylor expansion of 1.0 in x 10.883 * [backup-simplify]: Simplify 1.0 into 1.0 10.883 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 10.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.883 * [taylor]: Taking taylor expansion of x in x 10.883 * [backup-simplify]: Simplify 0 into 0 10.883 * [backup-simplify]: Simplify 1 into 1 10.884 * [backup-simplify]: Simplify (/ 1 1) into 1 10.884 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 10.884 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 10.884 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 10.884 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 10.884 * [backup-simplify]: Simplify 0 into 0 10.885 * [backup-simplify]: Simplify (- 0) into 0 10.885 * [backup-simplify]: Simplify (+ 0 0) into 0 10.886 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 10.886 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 10.886 * [backup-simplify]: Simplify (- 0) into 0 10.887 * [backup-simplify]: Simplify (+ 0 0) into 0 10.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 10.888 * [backup-simplify]: Simplify 0 into 0 10.888 * [backup-simplify]: Simplify (- 0) into 0 10.889 * [backup-simplify]: Simplify (+ 0 0) into 0 10.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 10.890 * [backup-simplify]: Simplify 0 into 0 10.890 * [backup-simplify]: Simplify (- 0) into 0 10.891 * [backup-simplify]: Simplify (+ 0 0) into 0 10.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 10.893 * [backup-simplify]: Simplify 0 into 0 10.893 * [backup-simplify]: Simplify (- 0) into 0 10.894 * [backup-simplify]: Simplify (+ 0 0) into 0 10.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 10.896 * [backup-simplify]: Simplify 0 into 0 10.896 * [backup-simplify]: Simplify (- 0) into 0 10.897 * [backup-simplify]: Simplify (+ 0 0) into 0 10.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 10.899 * [backup-simplify]: Simplify 0 into 0 10.900 * [backup-simplify]: Simplify (- 0) into 0 10.900 * [backup-simplify]: Simplify (+ 0 0) into 0 10.903 * [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 10.903 * [backup-simplify]: Simplify 0 into 0 10.903 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 10.903 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- x)) (- 1.0 (cos (/ 1 (- x)))))) into (* -1 (* (- 1.0 (cos (/ -1 x))) x)) 10.903 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 10.903 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 10.903 * [taylor]: Taking taylor expansion of -1 in x 10.903 * [backup-simplify]: Simplify -1 into -1 10.903 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 10.904 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 10.904 * [taylor]: Taking taylor expansion of 1.0 in x 10.904 * [backup-simplify]: Simplify 1.0 into 1.0 10.904 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 10.904 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.904 * [taylor]: Taking taylor expansion of -1 in x 10.904 * [backup-simplify]: Simplify -1 into -1 10.904 * [taylor]: Taking taylor expansion of x in x 10.904 * [backup-simplify]: Simplify 0 into 0 10.904 * [backup-simplify]: Simplify 1 into 1 10.904 * [backup-simplify]: Simplify (/ -1 1) into -1 10.904 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 10.904 * [taylor]: Taking taylor expansion of x in x 10.904 * [backup-simplify]: Simplify 0 into 0 10.904 * [backup-simplify]: Simplify 1 into 1 10.904 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 10.904 * [taylor]: Taking taylor expansion of -1 in x 10.905 * [backup-simplify]: Simplify -1 into -1 10.905 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 10.905 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 10.905 * [taylor]: Taking taylor expansion of 1.0 in x 10.905 * [backup-simplify]: Simplify 1.0 into 1.0 10.905 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 10.905 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.905 * [taylor]: Taking taylor expansion of -1 in x 10.905 * [backup-simplify]: Simplify -1 into -1 10.905 * [taylor]: Taking taylor expansion of x in x 10.905 * [backup-simplify]: Simplify 0 into 0 10.905 * [backup-simplify]: Simplify 1 into 1 10.905 * [backup-simplify]: Simplify (/ -1 1) into -1 10.905 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 10.905 * [taylor]: Taking taylor expansion of x in x 10.905 * [backup-simplify]: Simplify 0 into 0 10.905 * [backup-simplify]: Simplify 1 into 1 10.906 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 10.906 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 10.906 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 10.906 * [backup-simplify]: Simplify (* -1 0) into 0 10.906 * [backup-simplify]: Simplify 0 into 0 10.907 * [backup-simplify]: Simplify (- 0) into 0 10.907 * [backup-simplify]: Simplify (+ 0 0) into 0 10.908 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 10.908 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 10.908 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 10.909 * [backup-simplify]: Simplify (- 0) into 0 10.909 * [backup-simplify]: Simplify (+ 0 0) into 0 10.910 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 10.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 10.911 * [backup-simplify]: Simplify 0 into 0 10.911 * [backup-simplify]: Simplify (- 0) into 0 10.912 * [backup-simplify]: Simplify (+ 0 0) into 0 10.912 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.914 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 10.914 * [backup-simplify]: Simplify 0 into 0 10.914 * [backup-simplify]: Simplify (- 0) into 0 10.915 * [backup-simplify]: Simplify (+ 0 0) into 0 10.916 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.917 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 10.917 * [backup-simplify]: Simplify 0 into 0 10.918 * [backup-simplify]: Simplify (- 0) into 0 10.918 * [backup-simplify]: Simplify (+ 0 0) into 0 10.919 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 10.921 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 10.921 * [backup-simplify]: Simplify 0 into 0 10.922 * [backup-simplify]: Simplify (- 0) into 0 10.922 * [backup-simplify]: Simplify (+ 0 0) into 0 10.923 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 10.926 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 10.926 * [backup-simplify]: Simplify 0 into 0 10.926 * [backup-simplify]: Simplify (- 0) into 0 10.926 * [backup-simplify]: Simplify (+ 0 0) into 0 10.928 * [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 10.930 * [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 10.931 * [backup-simplify]: Simplify 0 into 0 10.931 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 10.931 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 10.931 * [backup-simplify]: Simplify (/ x (- 1.0 (cos x))) into (/ x (- 1.0 (cos x))) 10.931 * [approximate]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in (x) around 0 10.931 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in x 10.931 * [taylor]: Taking taylor expansion of x in x 10.931 * [backup-simplify]: Simplify 0 into 0 10.931 * [backup-simplify]: Simplify 1 into 1 10.931 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 10.931 * [taylor]: Taking taylor expansion of 1.0 in x 10.931 * [backup-simplify]: Simplify 1.0 into 1.0 10.931 * [taylor]: Taking taylor expansion of (cos x) in x 10.931 * [taylor]: Taking taylor expansion of x in x 10.931 * [backup-simplify]: Simplify 0 into 0 10.931 * [backup-simplify]: Simplify 1 into 1 10.932 * [backup-simplify]: Simplify (- 1) into -1 10.932 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 10.933 * [backup-simplify]: Simplify (+ 0) into 0 10.933 * [backup-simplify]: Simplify (- 0) into 0 10.934 * [backup-simplify]: Simplify (+ 0 0) into 0 10.935 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 10.935 * [backup-simplify]: Simplify (- -1/2) into 1/2 10.935 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.936 * [backup-simplify]: Simplify (/ 1 1/2) into 2 10.936 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in x 10.936 * [taylor]: Taking taylor expansion of x in x 10.936 * [backup-simplify]: Simplify 0 into 0 10.936 * [backup-simplify]: Simplify 1 into 1 10.936 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 10.936 * [taylor]: Taking taylor expansion of 1.0 in x 10.936 * [backup-simplify]: Simplify 1.0 into 1.0 10.936 * [taylor]: Taking taylor expansion of (cos x) in x 10.936 * [taylor]: Taking taylor expansion of x in x 10.936 * [backup-simplify]: Simplify 0 into 0 10.936 * [backup-simplify]: Simplify 1 into 1 10.937 * [backup-simplify]: Simplify (- 1) into -1 10.937 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 10.937 * [backup-simplify]: Simplify (+ 0) into 0 10.938 * [backup-simplify]: Simplify (- 0) into 0 10.938 * [backup-simplify]: Simplify (+ 0 0) into 0 10.939 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 10.939 * [backup-simplify]: Simplify (- -1/2) into 1/2 10.940 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.940 * [backup-simplify]: Simplify (/ 1 1/2) into 2 10.940 * [backup-simplify]: Simplify 2 into 2 10.942 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.942 * [backup-simplify]: Simplify (- 0) into 0 10.942 * [backup-simplify]: Simplify (+ 0 0) into 0 10.943 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)))) into 0 10.943 * [backup-simplify]: Simplify 0 into 0 10.946 * [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 10.947 * [backup-simplify]: Simplify (- 1/24) into -1/24 10.947 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 10.948 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into 1/6 10.948 * [backup-simplify]: Simplify 1/6 into 1/6 10.951 * [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 10.951 * [backup-simplify]: Simplify (- 0) into 0 10.951 * [backup-simplify]: Simplify (+ 0 0) into 0 10.953 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)) (* 0 (/ -1/24 1/2)) (* 1/6 (/ 0 1/2)))) into 0 10.953 * [backup-simplify]: Simplify 0 into 0 10.965 * [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 10.966 * [backup-simplify]: Simplify (- -1/720) into 1/720 10.966 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 10.968 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 1/720 1/2)) (* 0 (/ 0 1/2)) (* 1/6 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into 1/120 10.968 * [backup-simplify]: Simplify 1/120 into 1/120 10.968 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 3)) (+ (* 1/6 x) (* 2 (/ 1 x)))) into (+ (* 1/120 (pow x 3)) (+ (* 2 (/ 1 x)) (* 1/6 x))) 10.968 * [backup-simplify]: Simplify (/ (/ 1 x) (- 1.0 (cos (/ 1 x)))) into (/ 1 (* x (- 1.0 (cos (/ 1 x))))) 10.968 * [approximate]: Taking taylor expansion of (/ 1 (* x (- 1.0 (cos (/ 1 x))))) in (x) around 0 10.968 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (cos (/ 1 x))))) in x 10.968 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 10.968 * [taylor]: Taking taylor expansion of x in x 10.969 * [backup-simplify]: Simplify 0 into 0 10.969 * [backup-simplify]: Simplify 1 into 1 10.969 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 10.969 * [taylor]: Taking taylor expansion of 1.0 in x 10.969 * [backup-simplify]: Simplify 1.0 into 1.0 10.969 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 10.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.969 * [taylor]: Taking taylor expansion of x in x 10.969 * [backup-simplify]: Simplify 0 into 0 10.969 * [backup-simplify]: Simplify 1 into 1 10.969 * [backup-simplify]: Simplify (/ 1 1) into 1 10.969 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 10.969 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 10.969 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 10.970 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 10.970 * [backup-simplify]: Simplify (- 0) into 0 10.970 * [backup-simplify]: Simplify (+ 0 0) into 0 10.971 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 10.971 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 10.971 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (cos (/ 1 x))))) in x 10.971 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 10.971 * [taylor]: Taking taylor expansion of x in x 10.971 * [backup-simplify]: Simplify 0 into 0 10.971 * [backup-simplify]: Simplify 1 into 1 10.971 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 10.971 * [taylor]: Taking taylor expansion of 1.0 in x 10.971 * [backup-simplify]: Simplify 1.0 into 1.0 10.971 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 10.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.971 * [taylor]: Taking taylor expansion of x in x 10.971 * [backup-simplify]: Simplify 0 into 0 10.971 * [backup-simplify]: Simplify 1 into 1 10.971 * [backup-simplify]: Simplify (/ 1 1) into 1 10.971 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 10.972 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 10.972 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 10.972 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 10.972 * [backup-simplify]: Simplify (- 0) into 0 10.972 * [backup-simplify]: Simplify (+ 0 0) into 0 10.973 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 10.973 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 10.973 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 10.974 * [backup-simplify]: Simplify (- 0) into 0 10.974 * [backup-simplify]: Simplify (+ 0 0) into 0 10.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 10.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 10.975 * [backup-simplify]: Simplify 0 into 0 10.975 * [backup-simplify]: Simplify (- 0) into 0 10.976 * [backup-simplify]: Simplify (+ 0 0) into 0 10.977 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 10.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 10.977 * [backup-simplify]: Simplify 0 into 0 10.977 * [backup-simplify]: Simplify (- 0) into 0 10.978 * [backup-simplify]: Simplify (+ 0 0) into 0 10.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 10.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 10.979 * [backup-simplify]: Simplify 0 into 0 10.980 * [backup-simplify]: Simplify (- 0) into 0 10.980 * [backup-simplify]: Simplify (+ 0 0) into 0 10.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 10.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 10.982 * [backup-simplify]: Simplify 0 into 0 10.983 * [backup-simplify]: Simplify (- 0) into 0 10.983 * [backup-simplify]: Simplify (+ 0 0) into 0 10.985 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 10.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 10.985 * [backup-simplify]: Simplify 0 into 0 10.986 * [backup-simplify]: Simplify (- 0) into 0 10.986 * [backup-simplify]: Simplify (+ 0 0) into 0 10.988 * [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 10.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 10.989 * [backup-simplify]: Simplify 0 into 0 10.989 * [backup-simplify]: Simplify (* (/ 1 (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 (/ 1 x))) into (/ x (- 1.0 (cos x))) 10.989 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (- 1.0 (cos (/ 1 (- x))))) into (/ -1 (* (- 1.0 (cos (/ -1 x))) x)) 10.989 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 10.989 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 10.989 * [taylor]: Taking taylor expansion of -1 in x 10.989 * [backup-simplify]: Simplify -1 into -1 10.990 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 10.990 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 10.990 * [taylor]: Taking taylor expansion of 1.0 in x 10.990 * [backup-simplify]: Simplify 1.0 into 1.0 10.990 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 10.990 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.990 * [taylor]: Taking taylor expansion of -1 in x 10.990 * [backup-simplify]: Simplify -1 into -1 10.990 * [taylor]: Taking taylor expansion of x in x 10.990 * [backup-simplify]: Simplify 0 into 0 10.990 * [backup-simplify]: Simplify 1 into 1 10.990 * [backup-simplify]: Simplify (/ -1 1) into -1 10.990 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 10.990 * [taylor]: Taking taylor expansion of x in x 10.990 * [backup-simplify]: Simplify 0 into 0 10.990 * [backup-simplify]: Simplify 1 into 1 10.990 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 10.991 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 10.991 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 10.991 * [backup-simplify]: Simplify (- 0) into 0 10.991 * [backup-simplify]: Simplify (+ 0 0) into 0 10.992 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 10.992 * [backup-simplify]: Simplify (/ -1 (- 1.0 (cos (/ -1 x)))) into (/ -1 (- 1.0 (cos (/ -1 x)))) 10.992 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 10.992 * [taylor]: Taking taylor expansion of -1 in x 10.992 * [backup-simplify]: Simplify -1 into -1 10.992 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 10.992 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 10.992 * [taylor]: Taking taylor expansion of 1.0 in x 10.992 * [backup-simplify]: Simplify 1.0 into 1.0 10.992 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 10.992 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.992 * [taylor]: Taking taylor expansion of -1 in x 10.992 * [backup-simplify]: Simplify -1 into -1 10.992 * [taylor]: Taking taylor expansion of x in x 10.992 * [backup-simplify]: Simplify 0 into 0 10.992 * [backup-simplify]: Simplify 1 into 1 10.993 * [backup-simplify]: Simplify (/ -1 1) into -1 10.993 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 10.993 * [taylor]: Taking taylor expansion of x in x 10.993 * [backup-simplify]: Simplify 0 into 0 10.993 * [backup-simplify]: Simplify 1 into 1 10.993 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 10.993 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 10.993 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 10.994 * [backup-simplify]: Simplify (- 0) into 0 10.994 * [backup-simplify]: Simplify (+ 0 0) into 0 10.994 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 10.994 * [backup-simplify]: Simplify (/ -1 (- 1.0 (cos (/ -1 x)))) into (/ -1 (- 1.0 (cos (/ -1 x)))) 10.995 * [backup-simplify]: Simplify (/ -1 (- 1.0 (cos (/ -1 x)))) into (/ -1 (- 1.0 (cos (/ -1 x)))) 10.995 * [backup-simplify]: Simplify (- 0) into 0 10.995 * [backup-simplify]: Simplify (+ 0 0) into 0 10.996 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 10.996 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 10.996 * [backup-simplify]: Simplify 0 into 0 10.997 * [backup-simplify]: Simplify (- 0) into 0 10.997 * [backup-simplify]: Simplify (+ 0 0) into 0 10.998 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.998 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 10.998 * [backup-simplify]: Simplify 0 into 0 10.998 * [backup-simplify]: Simplify (- 0) into 0 10.999 * [backup-simplify]: Simplify (+ 0 0) into 0 11.000 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.000 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 11.000 * [backup-simplify]: Simplify 0 into 0 11.000 * [backup-simplify]: Simplify (- 0) into 0 11.001 * [backup-simplify]: Simplify (+ 0 0) into 0 11.002 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.002 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 11.002 * [backup-simplify]: Simplify 0 into 0 11.003 * [backup-simplify]: Simplify (- 0) into 0 11.003 * [backup-simplify]: Simplify (+ 0 0) into 0 11.004 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 11.005 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 11.005 * [backup-simplify]: Simplify 0 into 0 11.005 * [backup-simplify]: Simplify (- 0) into 0 11.005 * [backup-simplify]: Simplify (+ 0 0) into 0 11.007 * [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 11.007 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 11.007 * [backup-simplify]: Simplify 0 into 0 11.008 * [backup-simplify]: Simplify (* (/ -1 (- 1.0 (cos (/ -1 (/ 1 (- x)))))) (/ 1 (/ 1 (- x)))) into (/ x (- 1.0 (cos x))) 11.008 * * * * [progress]: [ 4 / 4 ] generating series at (2) 11.008 * [backup-simplify]: Simplify (* (/ 1 (/ x (- 1.0 (cos x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) (pow x 2)) 11.008 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 11.008 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 11.008 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 11.008 * [taylor]: Taking taylor expansion of 1.0 in x 11.008 * [backup-simplify]: Simplify 1.0 into 1.0 11.008 * [taylor]: Taking taylor expansion of (cos x) in x 11.008 * [taylor]: Taking taylor expansion of x in x 11.008 * [backup-simplify]: Simplify 0 into 0 11.008 * [backup-simplify]: Simplify 1 into 1 11.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.008 * [taylor]: Taking taylor expansion of x in x 11.008 * [backup-simplify]: Simplify 0 into 0 11.008 * [backup-simplify]: Simplify 1 into 1 11.009 * [backup-simplify]: Simplify (- 1) into -1 11.009 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 11.009 * [backup-simplify]: Simplify (+ 0) into 0 11.010 * [backup-simplify]: Simplify (- 0) into 0 11.010 * [backup-simplify]: Simplify (+ 0 0) into 0 11.011 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 11.011 * [backup-simplify]: Simplify (- -1/2) into 1/2 11.011 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.012 * [backup-simplify]: Simplify (* 1 1) into 1 11.012 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.012 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 11.012 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 11.012 * [taylor]: Taking taylor expansion of 1.0 in x 11.012 * [backup-simplify]: Simplify 1.0 into 1.0 11.012 * [taylor]: Taking taylor expansion of (cos x) in x 11.012 * [taylor]: Taking taylor expansion of x in x 11.012 * [backup-simplify]: Simplify 0 into 0 11.012 * [backup-simplify]: Simplify 1 into 1 11.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.012 * [taylor]: Taking taylor expansion of x in x 11.012 * [backup-simplify]: Simplify 0 into 0 11.012 * [backup-simplify]: Simplify 1 into 1 11.013 * [backup-simplify]: Simplify (- 1) into -1 11.013 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 11.013 * [backup-simplify]: Simplify (+ 0) into 0 11.014 * [backup-simplify]: Simplify (- 0) into 0 11.014 * [backup-simplify]: Simplify (+ 0 0) into 0 11.015 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 11.015 * [backup-simplify]: Simplify (- -1/2) into 1/2 11.015 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.016 * [backup-simplify]: Simplify (* 1 1) into 1 11.016 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.016 * [backup-simplify]: Simplify 1/2 into 1/2 11.017 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.017 * [backup-simplify]: Simplify (- 0) into 0 11.018 * [backup-simplify]: Simplify (+ 0 0) into 0 11.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.019 * [backup-simplify]: Simplify 0 into 0 11.021 * [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 11.022 * [backup-simplify]: Simplify (- 1/24) into -1/24 11.022 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 11.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.024 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 11.024 * [backup-simplify]: Simplify -1/24 into -1/24 11.025 * [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 11.026 * [backup-simplify]: Simplify (- 0) into 0 11.026 * [backup-simplify]: Simplify (+ 0 0) into 0 11.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 11.028 * [backup-simplify]: Simplify 0 into 0 11.032 * [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 11.032 * [backup-simplify]: Simplify (- -1/720) into 1/720 11.033 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 11.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.035 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 11.035 * [backup-simplify]: Simplify 1/720 into 1/720 11.036 * [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))) 11.036 * [backup-simplify]: Simplify (* (/ 1 (/ (/ 1 x) (- 1.0 (cos (/ 1 x))))) (/ 1 (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 11.036 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 11.036 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 11.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.036 * [taylor]: Taking taylor expansion of x in x 11.036 * [backup-simplify]: Simplify 0 into 0 11.036 * [backup-simplify]: Simplify 1 into 1 11.036 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 11.036 * [taylor]: Taking taylor expansion of 1.0 in x 11.036 * [backup-simplify]: Simplify 1.0 into 1.0 11.036 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 11.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.036 * [taylor]: Taking taylor expansion of x in x 11.036 * [backup-simplify]: Simplify 0 into 0 11.036 * [backup-simplify]: Simplify 1 into 1 11.037 * [backup-simplify]: Simplify (/ 1 1) into 1 11.037 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 11.037 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 11.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.037 * [taylor]: Taking taylor expansion of x in x 11.037 * [backup-simplify]: Simplify 0 into 0 11.037 * [backup-simplify]: Simplify 1 into 1 11.037 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 11.037 * [taylor]: Taking taylor expansion of 1.0 in x 11.037 * [backup-simplify]: Simplify 1.0 into 1.0 11.037 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 11.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.037 * [taylor]: Taking taylor expansion of x in x 11.037 * [backup-simplify]: Simplify 0 into 0 11.037 * [backup-simplify]: Simplify 1 into 1 11.037 * [backup-simplify]: Simplify (/ 1 1) into 1 11.037 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 11.038 * [backup-simplify]: Simplify (* 1 1) into 1 11.038 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 11.038 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 11.038 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 11.038 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 11.039 * [backup-simplify]: Simplify (- 0) into 0 11.039 * [backup-simplify]: Simplify (+ 0 0) into 0 11.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 11.040 * [backup-simplify]: Simplify 0 into 0 11.040 * [backup-simplify]: Simplify (- 0) into 0 11.041 * [backup-simplify]: Simplify (+ 0 0) into 0 11.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 11.042 * [backup-simplify]: Simplify 0 into 0 11.042 * [backup-simplify]: Simplify (- 0) into 0 11.043 * [backup-simplify]: Simplify (+ 0 0) into 0 11.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 11.045 * [backup-simplify]: Simplify 0 into 0 11.045 * [backup-simplify]: Simplify (- 0) into 0 11.045 * [backup-simplify]: Simplify (+ 0 0) into 0 11.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 11.048 * [backup-simplify]: Simplify 0 into 0 11.048 * [backup-simplify]: Simplify (- 0) into 0 11.048 * [backup-simplify]: Simplify (+ 0 0) into 0 11.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 11.051 * [backup-simplify]: Simplify 0 into 0 11.051 * [backup-simplify]: Simplify (- 0) into 0 11.052 * [backup-simplify]: Simplify (+ 0 0) into 0 11.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 11.055 * [backup-simplify]: Simplify 0 into 0 11.055 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 11.055 * [backup-simplify]: Simplify (* (/ 1 (/ (/ 1 (- x)) (- 1.0 (cos (/ 1 (- x)))))) (/ 1 (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 11.056 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 11.056 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 11.056 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 11.056 * [taylor]: Taking taylor expansion of 1.0 in x 11.056 * [backup-simplify]: Simplify 1.0 into 1.0 11.056 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 11.056 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.056 * [taylor]: Taking taylor expansion of -1 in x 11.056 * [backup-simplify]: Simplify -1 into -1 11.056 * [taylor]: Taking taylor expansion of x in x 11.056 * [backup-simplify]: Simplify 0 into 0 11.056 * [backup-simplify]: Simplify 1 into 1 11.056 * [backup-simplify]: Simplify (/ -1 1) into -1 11.056 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 11.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.056 * [taylor]: Taking taylor expansion of x in x 11.056 * [backup-simplify]: Simplify 0 into 0 11.056 * [backup-simplify]: Simplify 1 into 1 11.056 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 11.056 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 11.056 * [taylor]: Taking taylor expansion of 1.0 in x 11.057 * [backup-simplify]: Simplify 1.0 into 1.0 11.057 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 11.057 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.057 * [taylor]: Taking taylor expansion of -1 in x 11.057 * [backup-simplify]: Simplify -1 into -1 11.057 * [taylor]: Taking taylor expansion of x in x 11.057 * [backup-simplify]: Simplify 0 into 0 11.057 * [backup-simplify]: Simplify 1 into 1 11.057 * [backup-simplify]: Simplify (/ -1 1) into -1 11.057 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 11.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.057 * [taylor]: Taking taylor expansion of x in x 11.057 * [backup-simplify]: Simplify 0 into 0 11.057 * [backup-simplify]: Simplify 1 into 1 11.057 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 11.057 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 11.058 * [backup-simplify]: Simplify (* 1 1) into 1 11.058 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 11.058 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 11.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.059 * [backup-simplify]: Simplify (- 0) into 0 11.059 * [backup-simplify]: Simplify (+ 0 0) into 0 11.060 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 11.060 * [backup-simplify]: Simplify 0 into 0 11.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.061 * [backup-simplify]: Simplify (- 0) into 0 11.061 * [backup-simplify]: Simplify (+ 0 0) into 0 11.062 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 11.062 * [backup-simplify]: Simplify 0 into 0 11.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.063 * [backup-simplify]: Simplify (- 0) into 0 11.063 * [backup-simplify]: Simplify (+ 0 0) into 0 11.064 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.064 * [backup-simplify]: Simplify 0 into 0 11.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.065 * [backup-simplify]: Simplify (- 0) into 0 11.066 * [backup-simplify]: Simplify (+ 0 0) into 0 11.066 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.067 * [backup-simplify]: Simplify 0 into 0 11.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.068 * [backup-simplify]: Simplify (- 0) into 0 11.068 * [backup-simplify]: Simplify (+ 0 0) into 0 11.069 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.069 * [backup-simplify]: Simplify 0 into 0 11.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.071 * [backup-simplify]: Simplify (- 0) into 0 11.071 * [backup-simplify]: Simplify (+ 0 0) into 0 11.072 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.072 * [backup-simplify]: Simplify 0 into 0 11.073 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 11.073 * * * [progress]: simplifying candidates 11.080 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 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(cos x))) x) (/ (- 1.0 (cos x)) x) (/ (/ 1 x) (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0)))) (/ (/ 1 x) (+ 1.0 (cos x))) (/ (* (/ 1 x) (- 1.0 (cos x))) x) (/ (* (/ 1 x) (- 1.0 (cos x))) x) (/ (- 1.0 (cos x)) x) (/ 1 (/ x (- 1.0 (cos x)))) (/ 1 x) (- (fma 1/2 (* x x) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (fma 1/2 x (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (- (/ (- (cos x) 1.0) x)) (fma (pow x 3) 1/120 (fma 1/6 x (/ 2 x))) (/ x (- 1.0 (cos x))) (/ x (- 1.0 (cos x))) (- (fma 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)) 12.031 * * * [progress]: adding candidates to table 13.378 * [progress]: [Phase 3 of 3] Extracting. 13.378 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 13.388 * * * [regime-changes]: Trying 1 branch expressions: (x) 13.388 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 13.527 * * * [regime]: Found split indices: #