95.090 * [progress]: [Phase 1 of 3] Setting up. 0.034 * * * [progress]: [1/2] Preparing points 0.303 * * * [progress]: [2/2] Setting up program. 0.319 * [progress]: [Phase 2 of 3] Improving. 0.322 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.323 * * [simplify]: iteration 0: 6 enodes 1.122 * * [simplify]: iteration 1: 13 enodes 1.153 * * [simplify]: iteration 2: 21 enodes 1.167 * * [simplify]: iteration 3: 26 enodes 1.175 * * [simplify]: iteration 4: 28 enodes 1.182 * * [simplify]: iteration complete: 28 enodes 1.182 * * [simplify]: Extracting #0: cost 1 inf + 0 1.182 * * [simplify]: Extracting #1: cost 8 inf + 0 1.182 * * [simplify]: Extracting #2: cost 13 inf + 1 1.183 * * [simplify]: Extracting #3: cost 10 inf + 104 1.183 * * [simplify]: Extracting #4: cost 2 inf + 997 1.183 * * [simplify]: Extracting #5: cost 0 inf + 1319 1.183 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 1.191 * * [progress]: iteration 1 / 4 1.191 * * * [progress]: picking best candidate 1.209 * * * * [pick]: Picked # 1.211 * * * [progress]: localizing error 1.244 * * * [progress]: generating rewritten candidates 1.244 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.371 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.386 * * * [progress]: generating series expansions 1.386 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.518 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 1.518 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 1.520 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.520 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.520 * [taylor]: Taking taylor expansion of 1.0 in x 1.521 * [backup-simplify]: Simplify 1.0 into 1.0 1.521 * [taylor]: Taking taylor expansion of (cos x) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 1 into 1 1.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 1 into 1 1.527 * [backup-simplify]: Simplify (- 1) into -1 1.529 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.533 * [backup-simplify]: Simplify (+ 0) into 0 1.534 * [backup-simplify]: Simplify (- 0) into 0 1.534 * [backup-simplify]: Simplify (+ 0 0) into 0 1.535 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.535 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.536 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.537 * [backup-simplify]: Simplify (* 1 1) into 1 1.537 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.537 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.537 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.537 * [taylor]: Taking taylor expansion of 1.0 in x 1.537 * [backup-simplify]: Simplify 1.0 into 1.0 1.537 * [taylor]: Taking taylor expansion of (cos x) in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.538 * [backup-simplify]: Simplify (- 1) into -1 1.538 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.538 * [backup-simplify]: Simplify (+ 0) into 0 1.539 * [backup-simplify]: Simplify (- 0) into 0 1.539 * [backup-simplify]: Simplify (+ 0 0) into 0 1.548 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.549 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.549 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.550 * [backup-simplify]: Simplify (* 1 1) into 1 1.550 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.559 * [backup-simplify]: Simplify 1/2 into 1/2 1.568 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.569 * [backup-simplify]: Simplify (- 0) into 0 1.569 * [backup-simplify]: Simplify (+ 0 0) into 0 1.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.689 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.712 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.713 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.715 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 1.715 * [backup-simplify]: Simplify -1/24 into -1/24 1.738 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.739 * [backup-simplify]: Simplify (- 0) into 0 1.739 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 1.771 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.771 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.774 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 1.774 * [backup-simplify]: Simplify 1/720 into 1/720 1.820 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 1.844 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 1.844 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.844 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.844 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.844 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.844 * [taylor]: Taking taylor expansion of 1.0 in x 1.844 * [backup-simplify]: Simplify 1.0 into 1.0 1.844 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (/ 1 1) into 1 1.859 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.859 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.859 * [taylor]: Taking taylor expansion of x in x 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 1 into 1 1.859 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.859 * [taylor]: Taking taylor expansion of 1.0 in x 1.859 * [backup-simplify]: Simplify 1.0 into 1.0 1.859 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.859 * [taylor]: Taking taylor expansion of x in x 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 1 into 1 1.860 * [backup-simplify]: Simplify (/ 1 1) into 1 1.860 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.861 * [backup-simplify]: Simplify (* 1 1) into 1 1.862 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.862 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.862 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.862 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.862 * [backup-simplify]: Simplify (- 0) into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 1.864 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify (- 0) into 0 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify (- 0) into 0 1.868 * [backup-simplify]: Simplify (+ 0 0) into 0 1.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 1.871 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify (- 0) into 0 1.872 * [backup-simplify]: Simplify (+ 0 0) into 0 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify (- 0) into 0 1.879 * [backup-simplify]: Simplify (+ 0 0) into 0 1.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify (- 0) into 0 1.882 * [backup-simplify]: Simplify (+ 0 0) into 0 1.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 1.888 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 1.888 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 1.888 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.888 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.888 * [taylor]: Taking taylor expansion of 1.0 in x 1.888 * [backup-simplify]: Simplify 1.0 into 1.0 1.888 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.888 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.888 * [taylor]: Taking taylor expansion of -1 in x 1.888 * [backup-simplify]: Simplify -1 into -1 1.888 * [taylor]: Taking taylor expansion of x in x 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (/ -1 1) into -1 1.895 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.895 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.895 * [taylor]: Taking taylor expansion of 1.0 in x 1.895 * [backup-simplify]: Simplify 1.0 into 1.0 1.895 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.895 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.895 * [taylor]: Taking taylor expansion of -1 in x 1.896 * [backup-simplify]: Simplify -1 into -1 1.896 * [taylor]: Taking taylor expansion of x in x 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (/ -1 1) into -1 1.897 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.897 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.897 * [taylor]: Taking taylor expansion of x in x 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.897 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.898 * [backup-simplify]: Simplify (* 1 1) into 1 1.898 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 1.898 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.899 * [backup-simplify]: Simplify (- 0) into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.900 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.901 * [backup-simplify]: Simplify (- 0) into 0 1.901 * [backup-simplify]: Simplify (+ 0 0) into 0 1.902 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 1.902 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (- 0) into 0 1.905 * [backup-simplify]: Simplify (+ 0 0) into 0 1.906 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.908 * [backup-simplify]: Simplify (- 0) into 0 1.908 * [backup-simplify]: Simplify (+ 0 0) into 0 1.909 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.909 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.912 * [backup-simplify]: Simplify (- 0) into 0 1.912 * [backup-simplify]: Simplify (+ 0 0) into 0 1.914 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.916 * [backup-simplify]: Simplify (- 0) into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.918 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 1.926 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.926 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.926 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.927 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.927 * [taylor]: Taking taylor expansion of 1.0 in x 1.927 * [backup-simplify]: Simplify 1.0 into 1.0 1.927 * [taylor]: Taking taylor expansion of (cos x) in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.927 * [taylor]: Taking taylor expansion of 1.0 in x 1.927 * [backup-simplify]: Simplify 1.0 into 1.0 1.927 * [taylor]: Taking taylor expansion of (cos x) in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (- 1) into -1 1.929 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (+ 0) into 0 1.930 * [backup-simplify]: Simplify (- 0) into 0 1.930 * [backup-simplify]: Simplify (+ 0 0) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.931 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.932 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.932 * [backup-simplify]: Simplify 1/2 into 1/2 1.933 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.933 * [backup-simplify]: Simplify (- 0) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.934 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.938 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.938 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.938 * [backup-simplify]: Simplify -1/24 into -1/24 1.941 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.952 * [backup-simplify]: Simplify (- 0) into 0 1.953 * [backup-simplify]: Simplify (+ 0 0) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 1.958 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.958 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.958 * [backup-simplify]: Simplify 1/720 into 1/720 1.959 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 1.959 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.959 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.959 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.959 * [taylor]: Taking taylor expansion of 1.0 in x 1.959 * [backup-simplify]: Simplify 1.0 into 1.0 1.959 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (/ 1 1) into 1 1.960 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.960 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.960 * [taylor]: Taking taylor expansion of 1.0 in x 1.960 * [backup-simplify]: Simplify 1.0 into 1.0 1.960 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify (/ 1 1) into 1 1.961 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.961 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.961 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.961 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.962 * [backup-simplify]: Simplify (- 0) into 0 1.962 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify (- 0) into 0 1.963 * [backup-simplify]: Simplify (+ 0 0) into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify (- 0) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (- 0) into 0 1.965 * [backup-simplify]: Simplify (+ 0 0) into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (- 0) into 0 1.965 * [backup-simplify]: Simplify (+ 0 0) into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify (- 0) into 0 1.966 * [backup-simplify]: Simplify (+ 0 0) into 0 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.966 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.966 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.966 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.966 * [taylor]: Taking taylor expansion of 1.0 in x 1.966 * [backup-simplify]: Simplify 1.0 into 1.0 1.967 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.967 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.967 * [taylor]: Taking taylor expansion of -1 in x 1.967 * [backup-simplify]: Simplify -1 into -1 1.967 * [taylor]: Taking taylor expansion of x in x 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (/ -1 1) into -1 1.967 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.967 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.967 * [taylor]: Taking taylor expansion of 1.0 in x 1.967 * [backup-simplify]: Simplify 1.0 into 1.0 1.967 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.967 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.967 * [taylor]: Taking taylor expansion of -1 in x 1.967 * [backup-simplify]: Simplify -1 into -1 1.967 * [taylor]: Taking taylor expansion of x in x 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (/ -1 1) into -1 1.968 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.968 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.968 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.968 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.969 * [backup-simplify]: Simplify (- 0) into 0 1.969 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (- 0) into 0 1.969 * [backup-simplify]: Simplify (+ 0 0) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (- 0) into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (- 0) into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (- 0) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (- 0) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.972 * * * [progress]: simplifying candidates 2.006 * [simplify]: Simplifying: (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 2.012 * * [simplify]: iteration 0: 88 enodes 2.298 * * [simplify]: iteration 1: 217 enodes 2.472 * * [simplify]: iteration 2: 613 enodes 5.698 * * [simplify]: iteration 3: 2220 enodes 8.808 * * [simplify]: iteration complete: 5007 enodes 8.819 * * [simplify]: Extracting #0: cost 41 inf + 0 8.833 * * [simplify]: Extracting #1: cost 713 inf + 0 8.852 * * [simplify]: Extracting #2: cost 1651 inf + 10828 9.058 * * [simplify]: Extracting #3: cost 1175 inf + 123894 9.178 * * [simplify]: Extracting #4: cost 345 inf + 298840 9.475 * * [simplify]: Extracting #5: cost 22 inf + 388292 9.611 * * [simplify]: Extracting #6: cost 0 inf + 396614 9.940 * [simplify]: Simplified to: (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (+ (cos x) (- 1.0)) (* 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 (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (* (* x x) (+ 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x))) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 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)) (+ 1/2 (* (* x x) (- (* (* x x) 1/720) 1/24))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (+ (* (* x x) (- 1/2 (* 1/24 (* x x)))) (* (* 1/720 (* x x)) (* (* x x) (* x x)))) (- 1.0 (cos x)) (- 1.0 (cos x)) 9.970 * * * [progress]: adding candidates to table 10.415 * * [progress]: iteration 2 / 4 10.415 * * * [progress]: picking best candidate 10.493 * * * * [pick]: Picked # 10.503 * * * [progress]: localizing error 10.584 * * * [progress]: generating rewritten candidates 10.584 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 10.596 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 10.611 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 10.810 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 10.889 * * * [progress]: generating series expansions 10.889 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 10.890 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 10.890 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 10.890 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 10.890 * [taylor]: Taking taylor expansion of 1.0 in x 10.890 * [backup-simplify]: Simplify 1.0 into 1.0 10.890 * [taylor]: Taking taylor expansion of (cos x) in x 10.890 * [taylor]: Taking taylor expansion of x in x 10.890 * [backup-simplify]: Simplify 0 into 0 10.890 * [backup-simplify]: Simplify 1 into 1 10.890 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 10.890 * [taylor]: Taking taylor expansion of 1.0 in x 10.890 * [backup-simplify]: Simplify 1.0 into 1.0 10.890 * [taylor]: Taking taylor expansion of (cos x) in x 10.890 * [taylor]: Taking taylor expansion of x in x 10.890 * [backup-simplify]: Simplify 0 into 0 10.890 * [backup-simplify]: Simplify 1 into 1 10.891 * [backup-simplify]: Simplify (- 1) into -1 10.892 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 10.892 * [backup-simplify]: Simplify 0 into 0 10.892 * [backup-simplify]: Simplify (+ 0) into 0 10.893 * [backup-simplify]: Simplify (- 0) into 0 10.893 * [backup-simplify]: Simplify (+ 0 0) into 0 10.893 * [backup-simplify]: Simplify 0 into 0 10.928 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 10.929 * [backup-simplify]: Simplify (- -1/2) into 1/2 10.929 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.929 * [backup-simplify]: Simplify 1/2 into 1/2 10.931 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.931 * [backup-simplify]: Simplify (- 0) into 0 10.932 * [backup-simplify]: Simplify (+ 0 0) into 0 10.932 * [backup-simplify]: Simplify 0 into 0 10.937 * [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 10.937 * [backup-simplify]: Simplify (- 1/24) into -1/24 10.938 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 10.938 * [backup-simplify]: Simplify -1/24 into -1/24 10.950 * [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 10.951 * [backup-simplify]: Simplify 0 into 0 10.972 * [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 10.973 * [backup-simplify]: Simplify (- -1/720) into 1/720 10.973 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 10.973 * [backup-simplify]: Simplify 1/720 into 1/720 10.978 * [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))) 10.978 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 10.978 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 10.978 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 10.978 * [taylor]: Taking taylor expansion of 1.0 in x 10.978 * [backup-simplify]: Simplify 1.0 into 1.0 10.978 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 10.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.978 * [taylor]: Taking taylor expansion of x in x 10.979 * [backup-simplify]: Simplify 0 into 0 10.979 * [backup-simplify]: Simplify 1 into 1 10.979 * [backup-simplify]: Simplify (/ 1 1) into 1 10.979 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 10.979 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 10.979 * [taylor]: Taking taylor expansion of 1.0 in x 10.979 * [backup-simplify]: Simplify 1.0 into 1.0 10.979 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 10.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.979 * [taylor]: Taking taylor expansion of x in x 10.979 * [backup-simplify]: Simplify 0 into 0 10.980 * [backup-simplify]: Simplify 1 into 1 10.980 * [backup-simplify]: Simplify (/ 1 1) into 1 10.980 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 10.980 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 10.980 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 10.980 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 10.981 * [backup-simplify]: Simplify (- 0) into 0 10.981 * [backup-simplify]: Simplify (+ 0 0) into 0 10.981 * [backup-simplify]: Simplify 0 into 0 10.982 * [backup-simplify]: Simplify (- 0) into 0 10.982 * [backup-simplify]: Simplify (+ 0 0) into 0 10.982 * [backup-simplify]: Simplify 0 into 0 10.982 * [backup-simplify]: Simplify (- 0) into 0 10.983 * [backup-simplify]: Simplify (+ 0 0) into 0 10.983 * [backup-simplify]: Simplify 0 into 0 10.983 * [backup-simplify]: Simplify (- 0) into 0 10.983 * [backup-simplify]: Simplify (+ 0 0) into 0 10.983 * [backup-simplify]: Simplify 0 into 0 10.984 * [backup-simplify]: Simplify (- 0) into 0 10.984 * [backup-simplify]: Simplify (+ 0 0) into 0 10.984 * [backup-simplify]: Simplify 0 into 0 10.984 * [backup-simplify]: Simplify (- 0) into 0 10.985 * [backup-simplify]: Simplify (+ 0 0) into 0 10.985 * [backup-simplify]: Simplify 0 into 0 10.985 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 10.985 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 10.985 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 10.985 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 10.985 * [taylor]: Taking taylor expansion of 1.0 in x 10.985 * [backup-simplify]: Simplify 1.0 into 1.0 10.985 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 10.985 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.985 * [taylor]: Taking taylor expansion of -1 in x 10.985 * [backup-simplify]: Simplify -1 into -1 10.985 * [taylor]: Taking taylor expansion of x in x 10.985 * [backup-simplify]: Simplify 0 into 0 10.985 * [backup-simplify]: Simplify 1 into 1 10.986 * [backup-simplify]: Simplify (/ -1 1) into -1 10.986 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 10.986 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 10.986 * [taylor]: Taking taylor expansion of 1.0 in x 10.986 * [backup-simplify]: Simplify 1.0 into 1.0 10.986 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 10.986 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.986 * [taylor]: Taking taylor expansion of -1 in x 10.986 * [backup-simplify]: Simplify -1 into -1 10.986 * [taylor]: Taking taylor expansion of x in x 10.986 * [backup-simplify]: Simplify 0 into 0 10.986 * [backup-simplify]: Simplify 1 into 1 10.987 * [backup-simplify]: Simplify (/ -1 1) into -1 10.987 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 10.987 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 10.987 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 10.987 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 10.987 * [backup-simplify]: Simplify (- 0) into 0 10.988 * [backup-simplify]: Simplify (+ 0 0) into 0 10.988 * [backup-simplify]: Simplify 0 into 0 10.988 * [backup-simplify]: Simplify (- 0) into 0 10.989 * [backup-simplify]: Simplify (+ 0 0) into 0 10.989 * [backup-simplify]: Simplify 0 into 0 10.989 * [backup-simplify]: Simplify (- 0) into 0 10.999 * [backup-simplify]: Simplify (+ 0 0) into 0 10.999 * [backup-simplify]: Simplify 0 into 0 11.000 * [backup-simplify]: Simplify (- 0) into 0 11.001 * [backup-simplify]: Simplify (+ 0 0) into 0 11.001 * [backup-simplify]: Simplify 0 into 0 11.001 * [backup-simplify]: Simplify (- 0) into 0 11.001 * [backup-simplify]: Simplify (+ 0 0) into 0 11.001 * [backup-simplify]: Simplify 0 into 0 11.002 * [backup-simplify]: Simplify (- 0) into 0 11.002 * [backup-simplify]: Simplify (+ 0 0) into 0 11.002 * [backup-simplify]: Simplify 0 into 0 11.002 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 11.003 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 11.003 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 11.003 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 11.003 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 11.003 * [taylor]: Taking taylor expansion of 1.0 in x 11.003 * [backup-simplify]: Simplify 1.0 into 1.0 11.003 * [taylor]: Taking taylor expansion of (cos x) in x 11.003 * [taylor]: Taking taylor expansion of x in x 11.003 * [backup-simplify]: Simplify 0 into 0 11.003 * [backup-simplify]: Simplify 1 into 1 11.003 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 11.003 * [taylor]: Taking taylor expansion of 1.0 in x 11.003 * [backup-simplify]: Simplify 1.0 into 1.0 11.003 * [taylor]: Taking taylor expansion of (cos x) in x 11.003 * [taylor]: Taking taylor expansion of x in x 11.003 * [backup-simplify]: Simplify 0 into 0 11.003 * [backup-simplify]: Simplify 1 into 1 11.004 * [backup-simplify]: Simplify (- 1) into -1 11.012 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 11.012 * [backup-simplify]: Simplify 0 into 0 11.013 * [backup-simplify]: Simplify (+ 0) into 0 11.013 * [backup-simplify]: Simplify (- 0) into 0 11.014 * [backup-simplify]: Simplify (+ 0 0) into 0 11.014 * [backup-simplify]: Simplify 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 11.015 * [backup-simplify]: Simplify 1/2 into 1/2 11.021 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.021 * [backup-simplify]: Simplify (- 0) into 0 11.022 * [backup-simplify]: Simplify (+ 0 0) into 0 11.022 * [backup-simplify]: Simplify 0 into 0 11.029 * [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 11.030 * [backup-simplify]: Simplify (- 1/24) into -1/24 11.030 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 11.030 * [backup-simplify]: Simplify -1/24 into -1/24 11.037 * [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 11.037 * [backup-simplify]: Simplify (- 0) into 0 11.038 * [backup-simplify]: Simplify (+ 0 0) into 0 11.038 * [backup-simplify]: Simplify 0 into 0 11.047 * [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 11.047 * [backup-simplify]: Simplify (- -1/720) into 1/720 11.052 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 11.053 * [backup-simplify]: Simplify 1/720 into 1/720 11.053 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 11.053 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 11.053 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 11.054 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 11.054 * [taylor]: Taking taylor expansion of 1.0 in x 11.054 * [backup-simplify]: Simplify 1.0 into 1.0 11.054 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 11.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.054 * [taylor]: Taking taylor expansion of x in x 11.054 * [backup-simplify]: Simplify 0 into 0 11.054 * [backup-simplify]: Simplify 1 into 1 11.055 * [backup-simplify]: Simplify (/ 1 1) into 1 11.055 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 11.055 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 11.055 * [taylor]: Taking taylor expansion of 1.0 in x 11.055 * [backup-simplify]: Simplify 1.0 into 1.0 11.055 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 11.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.055 * [taylor]: Taking taylor expansion of x in x 11.055 * [backup-simplify]: Simplify 0 into 0 11.055 * [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 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 11.056 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 11.056 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 11.057 * [backup-simplify]: Simplify (- 0) into 0 11.057 * [backup-simplify]: Simplify (+ 0 0) into 0 11.057 * [backup-simplify]: Simplify 0 into 0 11.057 * [backup-simplify]: Simplify (- 0) into 0 11.058 * [backup-simplify]: Simplify (+ 0 0) into 0 11.058 * [backup-simplify]: Simplify 0 into 0 11.058 * [backup-simplify]: Simplify (- 0) into 0 11.065 * [backup-simplify]: Simplify (+ 0 0) into 0 11.065 * [backup-simplify]: Simplify 0 into 0 11.066 * [backup-simplify]: Simplify (- 0) into 0 11.066 * [backup-simplify]: Simplify (+ 0 0) into 0 11.066 * [backup-simplify]: Simplify 0 into 0 11.066 * [backup-simplify]: Simplify (- 0) into 0 11.067 * [backup-simplify]: Simplify (+ 0 0) into 0 11.067 * [backup-simplify]: Simplify 0 into 0 11.067 * [backup-simplify]: Simplify (- 0) into 0 11.067 * [backup-simplify]: Simplify (+ 0 0) into 0 11.067 * [backup-simplify]: Simplify 0 into 0 11.068 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 11.068 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 11.068 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 11.068 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 11.068 * [taylor]: Taking taylor expansion of 1.0 in x 11.068 * [backup-simplify]: Simplify 1.0 into 1.0 11.068 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 11.068 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.068 * [taylor]: Taking taylor expansion of -1 in x 11.068 * [backup-simplify]: Simplify -1 into -1 11.068 * [taylor]: Taking taylor expansion of x in x 11.068 * [backup-simplify]: Simplify 0 into 0 11.068 * [backup-simplify]: Simplify 1 into 1 11.069 * [backup-simplify]: Simplify (/ -1 1) into -1 11.069 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 11.069 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 11.069 * [taylor]: Taking taylor expansion of 1.0 in x 11.069 * [backup-simplify]: Simplify 1.0 into 1.0 11.069 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 11.069 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.069 * [taylor]: Taking taylor expansion of -1 in x 11.069 * [backup-simplify]: Simplify -1 into -1 11.069 * [taylor]: Taking taylor expansion of x in x 11.069 * [backup-simplify]: Simplify 0 into 0 11.069 * [backup-simplify]: Simplify 1 into 1 11.069 * [backup-simplify]: Simplify (/ -1 1) into -1 11.069 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 11.070 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 11.070 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 11.070 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 11.070 * [backup-simplify]: Simplify (- 0) into 0 11.071 * [backup-simplify]: Simplify (+ 0 0) into 0 11.071 * [backup-simplify]: Simplify 0 into 0 11.071 * [backup-simplify]: Simplify (- 0) into 0 11.071 * [backup-simplify]: Simplify (+ 0 0) into 0 11.071 * [backup-simplify]: Simplify 0 into 0 11.071 * [backup-simplify]: Simplify (- 0) into 0 11.072 * [backup-simplify]: Simplify (+ 0 0) into 0 11.074 * [backup-simplify]: Simplify 0 into 0 11.074 * [backup-simplify]: Simplify (- 0) into 0 11.074 * [backup-simplify]: Simplify (+ 0 0) into 0 11.075 * [backup-simplify]: Simplify 0 into 0 11.075 * [backup-simplify]: Simplify (- 0) into 0 11.075 * [backup-simplify]: Simplify (+ 0 0) into 0 11.075 * [backup-simplify]: Simplify 0 into 0 11.076 * [backup-simplify]: Simplify (- 0) into 0 11.076 * [backup-simplify]: Simplify (+ 0 0) into 0 11.076 * [backup-simplify]: Simplify 0 into 0 11.076 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 11.076 * * * * [progress]: [ 3 / 4 ] generating series at (2) 11.077 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) into (/ (- 1.0 (cos x)) (pow x 2)) 11.077 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 11.077 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 11.077 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 11.077 * [taylor]: Taking taylor expansion of 1.0 in x 11.077 * [backup-simplify]: Simplify 1.0 into 1.0 11.077 * [taylor]: Taking taylor expansion of (cos x) in x 11.077 * [taylor]: Taking taylor expansion of x in x 11.077 * [backup-simplify]: Simplify 0 into 0 11.077 * [backup-simplify]: Simplify 1 into 1 11.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.077 * [taylor]: Taking taylor expansion of x in x 11.077 * [backup-simplify]: Simplify 0 into 0 11.077 * [backup-simplify]: Simplify 1 into 1 11.078 * [backup-simplify]: Simplify (- 1) into -1 11.078 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 11.078 * [backup-simplify]: Simplify (+ 0) into 0 11.079 * [backup-simplify]: Simplify (- 0) into 0 11.079 * [backup-simplify]: Simplify (+ 0 0) into 0 11.082 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 11.083 * [backup-simplify]: Simplify (- -1/2) into 1/2 11.083 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.083 * [backup-simplify]: Simplify (* 1 1) into 1 11.084 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.084 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 11.084 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 11.084 * [taylor]: Taking taylor expansion of 1.0 in x 11.084 * [backup-simplify]: Simplify 1.0 into 1.0 11.084 * [taylor]: Taking taylor expansion of (cos x) in x 11.084 * [taylor]: Taking taylor expansion of x in x 11.084 * [backup-simplify]: Simplify 0 into 0 11.084 * [backup-simplify]: Simplify 1 into 1 11.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.084 * [taylor]: Taking taylor expansion of x in x 11.084 * [backup-simplify]: Simplify 0 into 0 11.084 * [backup-simplify]: Simplify 1 into 1 11.085 * [backup-simplify]: Simplify (- 1) into -1 11.085 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 11.085 * [backup-simplify]: Simplify (+ 0) into 0 11.086 * [backup-simplify]: Simplify (- 0) into 0 11.086 * [backup-simplify]: Simplify (+ 0 0) into 0 11.087 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 11.089 * [backup-simplify]: Simplify (- -1/2) into 1/2 11.090 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.090 * [backup-simplify]: Simplify (* 1 1) into 1 11.090 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.091 * [backup-simplify]: Simplify 1/2 into 1/2 11.092 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.092 * [backup-simplify]: Simplify (- 0) into 0 11.092 * [backup-simplify]: Simplify (+ 0 0) into 0 11.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.094 * [backup-simplify]: Simplify 0 into 0 11.098 * [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 11.098 * [backup-simplify]: Simplify (- 1/24) into -1/24 11.099 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 11.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.100 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 11.100 * [backup-simplify]: Simplify -1/24 into -1/24 11.102 * [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 11.102 * [backup-simplify]: Simplify (- 0) into 0 11.103 * [backup-simplify]: Simplify (+ 0 0) into 0 11.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 11.105 * [backup-simplify]: Simplify 0 into 0 11.112 * [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 11.113 * [backup-simplify]: Simplify (- -1/720) into 1/720 11.113 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 11.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.121 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 11.121 * [backup-simplify]: Simplify 1/720 into 1/720 11.122 * [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))) 11.122 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x)) (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 11.122 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 11.122 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 11.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.122 * [taylor]: Taking taylor expansion of x in x 11.122 * [backup-simplify]: Simplify 0 into 0 11.123 * [backup-simplify]: Simplify 1 into 1 11.123 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 11.123 * [taylor]: Taking taylor expansion of 1.0 in x 11.123 * [backup-simplify]: Simplify 1.0 into 1.0 11.123 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 11.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.123 * [taylor]: Taking taylor expansion of x in x 11.123 * [backup-simplify]: Simplify 0 into 0 11.123 * [backup-simplify]: Simplify 1 into 1 11.123 * [backup-simplify]: Simplify (/ 1 1) into 1 11.123 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 11.123 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 11.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.123 * [taylor]: Taking taylor expansion of x in x 11.123 * [backup-simplify]: Simplify 0 into 0 11.123 * [backup-simplify]: Simplify 1 into 1 11.123 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 11.123 * [taylor]: Taking taylor expansion of 1.0 in x 11.124 * [backup-simplify]: Simplify 1.0 into 1.0 11.124 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 11.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.124 * [taylor]: Taking taylor expansion of x in x 11.124 * [backup-simplify]: Simplify 0 into 0 11.124 * [backup-simplify]: Simplify 1 into 1 11.124 * [backup-simplify]: Simplify (/ 1 1) into 1 11.124 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 11.125 * [backup-simplify]: Simplify (* 1 1) into 1 11.125 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 11.125 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 11.125 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 11.125 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 11.126 * [backup-simplify]: Simplify (- 0) into 0 11.126 * [backup-simplify]: Simplify (+ 0 0) into 0 11.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 11.127 * [backup-simplify]: Simplify 0 into 0 11.128 * [backup-simplify]: Simplify (- 0) into 0 11.138 * [backup-simplify]: Simplify (+ 0 0) into 0 11.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 11.140 * [backup-simplify]: Simplify 0 into 0 11.140 * [backup-simplify]: Simplify (- 0) into 0 11.141 * [backup-simplify]: Simplify (+ 0 0) into 0 11.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 11.143 * [backup-simplify]: Simplify 0 into 0 11.143 * [backup-simplify]: Simplify (- 0) into 0 11.143 * [backup-simplify]: Simplify (+ 0 0) into 0 11.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 11.171 * [backup-simplify]: Simplify 0 into 0 11.171 * [backup-simplify]: Simplify (- 0) into 0 11.172 * [backup-simplify]: Simplify (+ 0 0) into 0 11.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 11.175 * [backup-simplify]: Simplify 0 into 0 11.176 * [backup-simplify]: Simplify (- 0) into 0 11.176 * [backup-simplify]: Simplify (+ 0 0) into 0 11.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 11.180 * [backup-simplify]: Simplify 0 into 0 11.180 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 11.181 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x))) (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 11.181 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 11.181 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 11.181 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 11.181 * [taylor]: Taking taylor expansion of 1.0 in x 11.181 * [backup-simplify]: Simplify 1.0 into 1.0 11.181 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 11.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.181 * [taylor]: Taking taylor expansion of -1 in x 11.181 * [backup-simplify]: Simplify -1 into -1 11.181 * [taylor]: Taking taylor expansion of x in x 11.181 * [backup-simplify]: Simplify 0 into 0 11.181 * [backup-simplify]: Simplify 1 into 1 11.182 * [backup-simplify]: Simplify (/ -1 1) into -1 11.182 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 11.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.182 * [taylor]: Taking taylor expansion of x in x 11.182 * [backup-simplify]: Simplify 0 into 0 11.182 * [backup-simplify]: Simplify 1 into 1 11.182 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 11.182 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 11.183 * [taylor]: Taking taylor expansion of 1.0 in x 11.183 * [backup-simplify]: Simplify 1.0 into 1.0 11.183 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 11.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.183 * [taylor]: Taking taylor expansion of -1 in x 11.183 * [backup-simplify]: Simplify -1 into -1 11.183 * [taylor]: Taking taylor expansion of x in x 11.183 * [backup-simplify]: Simplify 0 into 0 11.183 * [backup-simplify]: Simplify 1 into 1 11.183 * [backup-simplify]: Simplify (/ -1 1) into -1 11.183 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 11.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.184 * [taylor]: Taking taylor expansion of x in x 11.184 * [backup-simplify]: Simplify 0 into 0 11.184 * [backup-simplify]: Simplify 1 into 1 11.184 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 11.184 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 11.185 * [backup-simplify]: Simplify (* 1 1) into 1 11.185 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 11.185 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 11.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.186 * [backup-simplify]: Simplify (- 0) into 0 11.186 * [backup-simplify]: Simplify (+ 0 0) into 0 11.187 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 11.187 * [backup-simplify]: Simplify 0 into 0 11.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.191 * [backup-simplify]: Simplify (- 0) into 0 11.192 * [backup-simplify]: Simplify (+ 0 0) into 0 11.192 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 11.192 * [backup-simplify]: Simplify 0 into 0 11.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.194 * [backup-simplify]: Simplify (- 0) into 0 11.194 * [backup-simplify]: Simplify (+ 0 0) into 0 11.194 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.194 * [backup-simplify]: Simplify 0 into 0 11.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.195 * [backup-simplify]: Simplify (- 0) into 0 11.197 * [backup-simplify]: Simplify (+ 0 0) into 0 11.200 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.200 * [backup-simplify]: Simplify 0 into 0 11.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.202 * [backup-simplify]: Simplify (- 0) into 0 11.203 * [backup-simplify]: Simplify (+ 0 0) into 0 11.204 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.204 * [backup-simplify]: Simplify 0 into 0 11.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.206 * [backup-simplify]: Simplify (- 0) into 0 11.206 * [backup-simplify]: Simplify (+ 0 0) into 0 11.208 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.208 * [backup-simplify]: Simplify 0 into 0 11.208 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 11.208 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 11.209 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos x))) x) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 11.209 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 11.209 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 11.209 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 11.209 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 11.209 * [taylor]: Taking taylor expansion of 1.0 in x 11.209 * [backup-simplify]: Simplify 1.0 into 1.0 11.209 * [taylor]: Taking taylor expansion of (cos x) in x 11.209 * [taylor]: Taking taylor expansion of x in x 11.209 * [backup-simplify]: Simplify 0 into 0 11.209 * [backup-simplify]: Simplify 1 into 1 11.224 * [backup-simplify]: Simplify (- 1) into -1 11.224 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 11.225 * [backup-simplify]: Simplify (+ 0) into 0 11.367 * [backup-simplify]: Simplify (- 0) into 0 11.370 * [backup-simplify]: Simplify (+ 0 0) into 0 11.371 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 11.371 * [backup-simplify]: Simplify (- -1/2) into 1/2 11.371 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.372 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.373 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.373 * [backup-simplify]: Simplify (- 0) into 0 11.374 * [backup-simplify]: Simplify (+ 0 0) into 0 11.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.375 * [taylor]: Taking taylor expansion of x in x 11.375 * [backup-simplify]: Simplify 0 into 0 11.375 * [backup-simplify]: Simplify 1 into 1 11.375 * [backup-simplify]: Simplify (/ 1 1) into 1 11.375 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 11.375 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 11.375 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 11.375 * [taylor]: Taking taylor expansion of 1.0 in x 11.375 * [backup-simplify]: Simplify 1.0 into 1.0 11.375 * [taylor]: Taking taylor expansion of (cos x) in x 11.375 * [taylor]: Taking taylor expansion of x in x 11.375 * [backup-simplify]: Simplify 0 into 0 11.375 * [backup-simplify]: Simplify 1 into 1 11.376 * [backup-simplify]: Simplify (- 1) into -1 11.376 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 11.377 * [backup-simplify]: Simplify (+ 0) into 0 11.377 * [backup-simplify]: Simplify (- 0) into 0 11.378 * [backup-simplify]: Simplify (+ 0 0) into 0 11.379 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 11.379 * [backup-simplify]: Simplify (- -1/2) into 1/2 11.379 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.380 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.381 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.381 * [backup-simplify]: Simplify (- 0) into 0 11.382 * [backup-simplify]: Simplify (+ 0 0) into 0 11.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.383 * [taylor]: Taking taylor expansion of x in x 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify 1 into 1 11.383 * [backup-simplify]: Simplify (/ 1 1) into 1 11.402 * [backup-simplify]: Simplify (* (sqrt 1/2) 1) into (sqrt 1/2) 11.403 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.408 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 1)) into 0 11.408 * [backup-simplify]: Simplify 0 into 0 11.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.415 * [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 11.415 * [backup-simplify]: Simplify (- 1/24) into -1/24 11.420 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 11.432 * [backup-simplify]: Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) 11.438 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/48 (sqrt 1/2)) 1))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 11.441 * [backup-simplify]: Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 11.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.445 * [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 11.445 * [backup-simplify]: Simplify (- 0) into 0 11.446 * [backup-simplify]: Simplify (+ 0 0) into 0 11.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 11.449 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (* 0 1)))) into 0 11.449 * [backup-simplify]: Simplify 0 into 0 11.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.455 * [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 11.456 * [backup-simplify]: Simplify (- -1/720) into 1/720 11.456 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 11.463 * [backup-simplify]: Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 11.491 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (+ (* 0 0) (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1))))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 11.497 * [backup-simplify]: Simplify (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 11.512 * [backup-simplify]: Simplify (+ (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) 11.513 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x)) into (* x (sqrt (- 1.0 (cos (/ 1 x))))) 11.513 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 11.513 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 11.513 * [taylor]: Taking taylor expansion of x in x 11.513 * [backup-simplify]: Simplify 0 into 0 11.513 * [backup-simplify]: Simplify 1 into 1 11.513 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 11.513 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 11.513 * [taylor]: Taking taylor expansion of 1.0 in x 11.513 * [backup-simplify]: Simplify 1.0 into 1.0 11.513 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 11.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.513 * [taylor]: Taking taylor expansion of x in x 11.513 * [backup-simplify]: Simplify 0 into 0 11.513 * [backup-simplify]: Simplify 1 into 1 11.513 * [backup-simplify]: Simplify (/ 1 1) into 1 11.513 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 11.514 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 11.514 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 11.514 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 11.514 * [backup-simplify]: Simplify (- 0) into 0 11.514 * [backup-simplify]: Simplify (+ 0 0) into 0 11.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 11.515 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 11.515 * [taylor]: Taking taylor expansion of x in x 11.515 * [backup-simplify]: Simplify 0 into 0 11.515 * [backup-simplify]: Simplify 1 into 1 11.515 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 11.515 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 11.515 * [taylor]: Taking taylor expansion of 1.0 in x 11.515 * [backup-simplify]: Simplify 1.0 into 1.0 11.515 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 11.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.515 * [taylor]: Taking taylor expansion of x in x 11.515 * [backup-simplify]: Simplify 0 into 0 11.515 * [backup-simplify]: Simplify 1 into 1 11.515 * [backup-simplify]: Simplify (/ 1 1) into 1 11.515 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 11.516 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 11.520 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 11.520 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 11.521 * [backup-simplify]: Simplify (- 0) into 0 11.522 * [backup-simplify]: Simplify (+ 0 0) into 0 11.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 11.522 * [backup-simplify]: Simplify (* 0 (sqrt (- 1.0 (cos (/ 1 x))))) into 0 11.522 * [backup-simplify]: Simplify 0 into 0 11.523 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (- 1.0 (cos (/ 1 x)))))) into (sqrt (- 1.0 (cos (/ 1 x)))) 11.523 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 11.528 * [backup-simplify]: Simplify (- 0) into 0 11.529 * [backup-simplify]: Simplify (+ 0 0) into 0 11.530 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 11.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))) into 0 11.531 * [backup-simplify]: Simplify 0 into 0 11.532 * [backup-simplify]: Simplify (- 0) into 0 11.536 * [backup-simplify]: Simplify (+ 0 0) into 0 11.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 11.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))) into 0 11.543 * [backup-simplify]: Simplify 0 into 0 11.543 * [backup-simplify]: Simplify (- 0) into 0 11.544 * [backup-simplify]: Simplify (+ 0 0) into 0 11.545 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 11.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))) into 0 11.547 * [backup-simplify]: Simplify 0 into 0 11.547 * [backup-simplify]: Simplify (- 0) into 0 11.548 * [backup-simplify]: Simplify (+ 0 0) into 0 11.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 11.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))) into 0 11.550 * [backup-simplify]: Simplify 0 into 0 11.551 * [backup-simplify]: Simplify (- 0) into 0 11.551 * [backup-simplify]: Simplify (+ 0 0) into 0 11.552 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 11.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))))) into 0 11.554 * [backup-simplify]: Simplify 0 into 0 11.555 * [backup-simplify]: Simplify (- 0) into 0 11.555 * [backup-simplify]: Simplify (+ 0 0) into 0 11.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 11.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))))) into 0 11.558 * [backup-simplify]: Simplify 0 into 0 11.559 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 x)) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 11.559 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) 11.559 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 11.559 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 11.559 * [taylor]: Taking taylor expansion of -1 in x 11.559 * [backup-simplify]: Simplify -1 into -1 11.559 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 11.559 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 11.559 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 11.559 * [taylor]: Taking taylor expansion of 1.0 in x 11.559 * [backup-simplify]: Simplify 1.0 into 1.0 11.559 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 11.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.559 * [taylor]: Taking taylor expansion of -1 in x 11.559 * [backup-simplify]: Simplify -1 into -1 11.559 * [taylor]: Taking taylor expansion of x in x 11.559 * [backup-simplify]: Simplify 0 into 0 11.559 * [backup-simplify]: Simplify 1 into 1 11.559 * [backup-simplify]: Simplify (/ -1 1) into -1 11.559 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 11.559 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 11.560 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 11.560 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 11.560 * [backup-simplify]: Simplify (- 0) into 0 11.560 * [backup-simplify]: Simplify (+ 0 0) into 0 11.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 11.561 * [taylor]: Taking taylor expansion of x in x 11.561 * [backup-simplify]: Simplify 0 into 0 11.561 * [backup-simplify]: Simplify 1 into 1 11.561 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 11.561 * [taylor]: Taking taylor expansion of -1 in x 11.561 * [backup-simplify]: Simplify -1 into -1 11.561 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 11.561 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 11.561 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 11.561 * [taylor]: Taking taylor expansion of 1.0 in x 11.561 * [backup-simplify]: Simplify 1.0 into 1.0 11.561 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 11.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.561 * [taylor]: Taking taylor expansion of -1 in x 11.561 * [backup-simplify]: Simplify -1 into -1 11.561 * [taylor]: Taking taylor expansion of x in x 11.561 * [backup-simplify]: Simplify 0 into 0 11.561 * [backup-simplify]: Simplify 1 into 1 11.561 * [backup-simplify]: Simplify (/ -1 1) into -1 11.562 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 11.562 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 11.562 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 11.562 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 11.562 * [backup-simplify]: Simplify (- 0) into 0 11.563 * [backup-simplify]: Simplify (+ 0 0) into 0 11.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 11.563 * [taylor]: Taking taylor expansion of x in x 11.563 * [backup-simplify]: Simplify 0 into 0 11.563 * [backup-simplify]: Simplify 1 into 1 11.563 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) into 0 11.564 * [backup-simplify]: Simplify (* -1 0) into 0 11.564 * [backup-simplify]: Simplify 0 into 0 11.564 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 1) (* 0 0)) into (sqrt (- 1.0 (cos (/ -1 x)))) 11.565 * [backup-simplify]: Simplify (+ (* -1 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 11.565 * [backup-simplify]: Simplify (- (sqrt (- 1.0 (cos (/ -1 x))))) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 11.565 * [backup-simplify]: Simplify (- 0) into 0 11.565 * [backup-simplify]: Simplify (+ 0 0) into 0 11.566 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 11.567 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 1) (* 0 0))) into 0 11.568 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))) into 0 11.568 * [backup-simplify]: Simplify 0 into 0 11.568 * [backup-simplify]: Simplify (- 0) into 0 11.568 * [backup-simplify]: Simplify (+ 0 0) into 0 11.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 11.569 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.570 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))) into 0 11.570 * [backup-simplify]: Simplify 0 into 0 11.571 * [backup-simplify]: Simplify (- 0) into 0 11.571 * [backup-simplify]: Simplify (+ 0 0) into 0 11.572 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 11.573 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.574 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))) into 0 11.574 * [backup-simplify]: Simplify 0 into 0 11.574 * [backup-simplify]: Simplify (- 0) into 0 11.575 * [backup-simplify]: Simplify (+ 0 0) into 0 11.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 11.577 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.592 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))) into 0 11.592 * [backup-simplify]: Simplify 0 into 0 11.593 * [backup-simplify]: Simplify (- 0) into 0 11.593 * [backup-simplify]: Simplify (+ 0 0) into 0 11.594 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 11.595 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 11.597 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))))) into 0 11.597 * [backup-simplify]: Simplify 0 into 0 11.597 * [backup-simplify]: Simplify (- 0) into 0 11.598 * [backup-simplify]: Simplify (+ 0 0) into 0 11.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 11.600 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 11.603 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))))) into 0 11.603 * [backup-simplify]: Simplify 0 into 0 11.603 * [backup-simplify]: Simplify (* (- (sqrt (- 1.0 (cos (/ -1 (/ 1 (- x))))))) (/ 1 (- x))) into (* (sqrt (- 1.0 (cos 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2467 enodes 19.654 * * [simplify]: iteration complete: 5001 enodes 19.658 * * [simplify]: Extracting #0: cost 132 inf + 0 19.661 * * [simplify]: Extracting #1: cost 937 inf + 2 19.675 * * [simplify]: Extracting #2: cost 1500 inf + 1341 19.689 * * [simplify]: Extracting #3: cost 1608 inf + 10234 19.716 * * [simplify]: Extracting #4: cost 1273 inf + 83320 20.035 * * [simplify]: Extracting #5: cost 523 inf + 319803 20.320 * * [simplify]: Extracting #6: cost 32 inf + 502702 20.600 * * [simplify]: Extracting #7: cost 0 inf + 514680 20.897 * * [simplify]: Extracting #8: cost 0 inf + 514560 21.265 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (- 1.0 (cos x)) (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x)))) (+ (* (cos x) (cos x)) (* 1.0 (+ (cos x) 1.0))) (- (cos x)) (- (* 1.0 1.0) 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(sqrt x)) (fabs (cbrt (- 1.0 (cos x)))) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt (cos x)) (sqrt 1.0))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt (cos x)) (sqrt 1.0))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (sqrt (+ (sqrt (cos x)) (sqrt 1.0))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* (sqrt (+ (* (cos x) (cos x)) (* 1.0 (+ (cos x) 1.0)))) x) (* x (sqrt (+ (cos x) 1.0))) (+ (* 1/720 (* (* (* x x) x) (* (* x x) x))) (* (* x x) (- 1/2 (* (* x x) 1/24)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/720 (* (* (* x x) x) (* (* x x) x))) (* (* x x) (- 1/2 (* (* x x) 1/24)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ 1/2 (* (* x x) (- (* 1/720 (* x x)) 1/24))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (+ (- (- (sqrt 1/2) (* 1/2304 (/ (* (* x x) (* x x)) (sqrt 1/2)))) (* 1/48 (/ (* x x) (sqrt 1/2)))) (/ (* 1/1440 (* (* x x) (* x x))) (sqrt 1/2))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 21.361 * * * [progress]: adding candidates to table 24.476 * * [progress]: iteration 3 / 4 24.477 * * * [progress]: picking best candidate 24.800 * * * * [pick]: Picked # 24.803 * * * [progress]: localizing error 24.829 * * * [progress]: generating rewritten candidates 24.829 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 24.842 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 25.056 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 25.292 * * * [progress]: generating series expansions 25.308 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 25.320 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 25.320 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 25.320 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 25.320 * [taylor]: Taking taylor expansion of 1.0 in x 25.320 * [backup-simplify]: Simplify 1.0 into 1.0 25.320 * [taylor]: Taking taylor expansion of (cos x) in x 25.320 * [taylor]: Taking taylor expansion of x in x 25.320 * [backup-simplify]: Simplify 0 into 0 25.320 * [backup-simplify]: Simplify 1 into 1 25.320 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 25.320 * [taylor]: Taking taylor expansion of 1.0 in x 25.320 * [backup-simplify]: Simplify 1.0 into 1.0 25.320 * [taylor]: Taking taylor expansion of (cos x) in x 25.320 * [taylor]: Taking taylor expansion of x in x 25.320 * [backup-simplify]: Simplify 0 into 0 25.320 * [backup-simplify]: Simplify 1 into 1 25.392 * [backup-simplify]: Simplify (- 1) into -1 25.393 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 25.393 * [backup-simplify]: Simplify 0 into 0 25.393 * [backup-simplify]: Simplify (+ 0) into 0 25.394 * [backup-simplify]: Simplify (- 0) into 0 25.394 * [backup-simplify]: Simplify (+ 0 0) into 0 25.394 * [backup-simplify]: Simplify 0 into 0 25.395 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 25.395 * [backup-simplify]: Simplify (- -1/2) into 1/2 25.396 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 25.396 * [backup-simplify]: Simplify 1/2 into 1/2 25.401 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 25.401 * [backup-simplify]: Simplify (- 0) into 0 25.402 * [backup-simplify]: Simplify (+ 0 0) into 0 25.402 * [backup-simplify]: Simplify 0 into 0 25.409 * [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 25.409 * [backup-simplify]: Simplify (- 1/24) into -1/24 25.410 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 25.410 * [backup-simplify]: Simplify -1/24 into -1/24 25.417 * [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 25.417 * [backup-simplify]: Simplify (- 0) into 0 25.418 * [backup-simplify]: Simplify (+ 0 0) into 0 25.418 * [backup-simplify]: Simplify 0 into 0 25.432 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 25.433 * [backup-simplify]: Simplify (- -1/720) into 1/720 25.433 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 25.433 * [backup-simplify]: Simplify 1/720 into 1/720 25.434 * [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))) 25.434 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 25.434 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 25.434 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 25.434 * [taylor]: Taking taylor expansion of 1.0 in x 25.434 * [backup-simplify]: Simplify 1.0 into 1.0 25.435 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 25.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 25.435 * [taylor]: Taking taylor expansion of x in x 25.435 * [backup-simplify]: Simplify 0 into 0 25.435 * [backup-simplify]: Simplify 1 into 1 25.435 * [backup-simplify]: Simplify (/ 1 1) into 1 25.435 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 25.435 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 25.435 * [taylor]: Taking taylor expansion of 1.0 in x 25.435 * [backup-simplify]: Simplify 1.0 into 1.0 25.435 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 25.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 25.435 * [taylor]: Taking taylor expansion of x in x 25.435 * [backup-simplify]: Simplify 0 into 0 25.435 * [backup-simplify]: Simplify 1 into 1 25.440 * [backup-simplify]: Simplify (/ 1 1) into 1 25.440 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 25.441 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 25.441 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 25.441 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 25.442 * [backup-simplify]: Simplify (- 0) into 0 25.442 * [backup-simplify]: Simplify (+ 0 0) into 0 25.442 * [backup-simplify]: Simplify 0 into 0 25.442 * [backup-simplify]: Simplify (- 0) into 0 25.443 * [backup-simplify]: Simplify (+ 0 0) into 0 25.443 * [backup-simplify]: Simplify 0 into 0 25.443 * [backup-simplify]: Simplify (- 0) into 0 25.448 * [backup-simplify]: Simplify (+ 0 0) into 0 25.448 * [backup-simplify]: Simplify 0 into 0 25.449 * [backup-simplify]: Simplify (- 0) into 0 25.449 * [backup-simplify]: Simplify (+ 0 0) into 0 25.449 * [backup-simplify]: Simplify 0 into 0 25.450 * [backup-simplify]: Simplify (- 0) into 0 25.450 * [backup-simplify]: Simplify (+ 0 0) into 0 25.450 * [backup-simplify]: Simplify 0 into 0 25.451 * [backup-simplify]: Simplify (- 0) into 0 25.460 * [backup-simplify]: Simplify (+ 0 0) into 0 25.460 * [backup-simplify]: Simplify 0 into 0 25.460 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 25.460 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 25.460 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 25.460 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 25.460 * [taylor]: Taking taylor expansion of 1.0 in x 25.460 * [backup-simplify]: Simplify 1.0 into 1.0 25.460 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 25.461 * [taylor]: Taking taylor expansion of (/ -1 x) in x 25.461 * [taylor]: Taking taylor expansion of -1 in x 25.461 * [backup-simplify]: Simplify -1 into -1 25.461 * [taylor]: Taking taylor expansion of x in x 25.461 * [backup-simplify]: Simplify 0 into 0 25.461 * [backup-simplify]: Simplify 1 into 1 25.462 * [backup-simplify]: Simplify (/ -1 1) into -1 25.462 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 25.462 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 25.462 * [taylor]: Taking taylor expansion of 1.0 in x 25.462 * [backup-simplify]: Simplify 1.0 into 1.0 25.462 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 25.462 * [taylor]: Taking taylor expansion of (/ -1 x) in x 25.462 * [taylor]: Taking taylor expansion of -1 in x 25.462 * [backup-simplify]: Simplify -1 into -1 25.462 * [taylor]: Taking taylor expansion of x in x 25.462 * [backup-simplify]: Simplify 0 into 0 25.462 * [backup-simplify]: Simplify 1 into 1 25.463 * [backup-simplify]: Simplify (/ -1 1) into -1 25.463 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 25.463 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 25.463 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 25.463 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 25.464 * [backup-simplify]: Simplify (- 0) into 0 25.464 * [backup-simplify]: Simplify (+ 0 0) into 0 25.464 * [backup-simplify]: Simplify 0 into 0 25.465 * [backup-simplify]: Simplify (- 0) into 0 25.465 * [backup-simplify]: Simplify (+ 0 0) into 0 25.465 * [backup-simplify]: Simplify 0 into 0 25.466 * [backup-simplify]: Simplify (- 0) into 0 25.466 * [backup-simplify]: Simplify (+ 0 0) into 0 25.466 * [backup-simplify]: Simplify 0 into 0 25.466 * [backup-simplify]: Simplify (- 0) into 0 25.467 * [backup-simplify]: Simplify (+ 0 0) into 0 25.467 * [backup-simplify]: Simplify 0 into 0 25.467 * [backup-simplify]: Simplify (- 0) into 0 25.468 * [backup-simplify]: Simplify (+ 0 0) into 0 25.468 * [backup-simplify]: Simplify 0 into 0 25.468 * [backup-simplify]: Simplify (- 0) into 0 25.468 * [backup-simplify]: Simplify (+ 0 0) into 0 25.469 * [backup-simplify]: Simplify 0 into 0 25.469 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 25.469 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 25.469 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 25.469 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 25.469 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 25.469 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 25.469 * [taylor]: Taking taylor expansion of 1.0 in x 25.469 * [backup-simplify]: Simplify 1.0 into 1.0 25.469 * [taylor]: Taking taylor expansion of (cos x) in x 25.469 * [taylor]: Taking taylor expansion of x in x 25.469 * [backup-simplify]: Simplify 0 into 0 25.469 * [backup-simplify]: Simplify 1 into 1 25.469 * [taylor]: Taking taylor expansion of x in x 25.469 * [backup-simplify]: Simplify 0 into 0 25.469 * [backup-simplify]: Simplify 1 into 1 25.470 * [backup-simplify]: Simplify (- 1) into -1 25.470 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 25.471 * [backup-simplify]: Simplify (+ 0) into 0 25.471 * [backup-simplify]: Simplify (- 0) into 0 25.472 * [backup-simplify]: Simplify (+ 0 0) into 0 25.599 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 25.633 * [backup-simplify]: Simplify (- -1/2) into 1/2 25.637 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 25.639 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 25.639 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 25.640 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 25.640 * [taylor]: Taking taylor expansion of 1.0 in x 25.640 * [backup-simplify]: Simplify 1.0 into 1.0 25.640 * [taylor]: Taking taylor expansion of (cos x) in x 25.640 * [taylor]: Taking taylor expansion of x in x 25.640 * [backup-simplify]: Simplify 0 into 0 25.640 * [backup-simplify]: Simplify 1 into 1 25.640 * [taylor]: Taking taylor expansion of x in x 25.640 * [backup-simplify]: Simplify 0 into 0 25.640 * [backup-simplify]: Simplify 1 into 1 25.641 * [backup-simplify]: Simplify (- 1) into -1 25.642 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 25.660 * [backup-simplify]: Simplify (+ 0) into 0 25.660 * [backup-simplify]: Simplify (- 0) into 0 25.661 * [backup-simplify]: Simplify (+ 0 0) into 0 25.661 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 25.662 * [backup-simplify]: Simplify (- -1/2) into 1/2 25.662 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 25.663 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 25.666 * [backup-simplify]: Simplify 1/2 into 1/2 25.668 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 25.669 * [backup-simplify]: Simplify (- 0) into 0 25.669 * [backup-simplify]: Simplify (+ 0 0) into 0 25.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 25.671 * [backup-simplify]: Simplify 0 into 0 25.675 * [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 25.675 * [backup-simplify]: Simplify (- 1/24) into -1/24 25.676 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 25.678 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 25.678 * [backup-simplify]: Simplify -1/24 into -1/24 25.682 * [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 25.683 * [backup-simplify]: Simplify (- 0) into 0 25.683 * [backup-simplify]: Simplify (+ 0 0) into 0 25.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 25.685 * [backup-simplify]: Simplify 0 into 0 25.688 * [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 25.689 * [backup-simplify]: Simplify (- -1/720) into 1/720 25.689 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 25.690 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 25.690 * [backup-simplify]: Simplify 1/720 into 1/720 25.692 * [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))) 25.692 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* x (- 1.0 (cos (/ 1 x)))) 25.692 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 25.692 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 25.692 * [taylor]: Taking taylor expansion of x in x 25.692 * [backup-simplify]: Simplify 0 into 0 25.692 * [backup-simplify]: Simplify 1 into 1 25.692 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 25.692 * [taylor]: Taking taylor expansion of 1.0 in x 25.692 * [backup-simplify]: Simplify 1.0 into 1.0 25.692 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 25.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 25.692 * [taylor]: Taking taylor expansion of x in x 25.692 * [backup-simplify]: Simplify 0 into 0 25.692 * [backup-simplify]: Simplify 1 into 1 25.693 * [backup-simplify]: Simplify (/ 1 1) into 1 25.693 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 25.693 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 25.693 * [taylor]: Taking taylor expansion of x in x 25.693 * [backup-simplify]: Simplify 0 into 0 25.693 * [backup-simplify]: Simplify 1 into 1 25.693 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 25.693 * [taylor]: Taking taylor expansion of 1.0 in x 25.693 * [backup-simplify]: Simplify 1.0 into 1.0 25.693 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 25.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 25.693 * [taylor]: Taking taylor expansion of x in x 25.693 * [backup-simplify]: Simplify 0 into 0 25.693 * [backup-simplify]: Simplify 1 into 1 25.693 * [backup-simplify]: Simplify (/ 1 1) into 1 25.693 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 25.694 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 25.694 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 25.694 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 25.694 * [backup-simplify]: Simplify 0 into 0 25.694 * [backup-simplify]: Simplify (- 0) into 0 25.694 * [backup-simplify]: Simplify (+ 0 0) into 0 25.708 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 25.708 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 25.709 * [backup-simplify]: Simplify (- 0) into 0 25.709 * [backup-simplify]: Simplify (+ 0 0) into 0 25.710 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 25.710 * [backup-simplify]: Simplify 0 into 0 25.710 * [backup-simplify]: Simplify (- 0) into 0 25.711 * [backup-simplify]: Simplify (+ 0 0) into 0 25.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 25.712 * [backup-simplify]: Simplify 0 into 0 25.712 * [backup-simplify]: Simplify (- 0) into 0 25.713 * [backup-simplify]: Simplify (+ 0 0) into 0 25.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 25.714 * [backup-simplify]: Simplify 0 into 0 25.715 * [backup-simplify]: Simplify (- 0) into 0 25.715 * [backup-simplify]: Simplify (+ 0 0) into 0 25.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 25.717 * [backup-simplify]: Simplify 0 into 0 25.718 * [backup-simplify]: Simplify (- 0) into 0 25.718 * [backup-simplify]: Simplify (+ 0 0) into 0 25.720 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 25.721 * [backup-simplify]: Simplify 0 into 0 25.722 * [backup-simplify]: Simplify (- 0) into 0 25.722 * [backup-simplify]: Simplify (+ 0 0) into 0 25.725 * [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 25.725 * [backup-simplify]: Simplify 0 into 0 25.725 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 25.726 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* (- 1.0 (cos (/ -1 x))) x)) 25.726 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 25.726 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 25.726 * [taylor]: Taking taylor expansion of -1 in x 25.726 * [backup-simplify]: Simplify -1 into -1 25.726 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 25.726 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 25.726 * [taylor]: Taking taylor expansion of 1.0 in x 25.726 * [backup-simplify]: Simplify 1.0 into 1.0 25.726 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 25.726 * [taylor]: Taking taylor expansion of (/ -1 x) in x 25.726 * [taylor]: Taking taylor expansion of -1 in x 25.726 * [backup-simplify]: Simplify -1 into -1 25.726 * [taylor]: Taking taylor expansion of x in x 25.726 * [backup-simplify]: Simplify 0 into 0 25.726 * [backup-simplify]: Simplify 1 into 1 25.727 * [backup-simplify]: Simplify (/ -1 1) into -1 25.727 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 25.727 * [taylor]: Taking taylor expansion of x in x 25.727 * [backup-simplify]: Simplify 0 into 0 25.727 * [backup-simplify]: Simplify 1 into 1 25.727 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 25.727 * [taylor]: Taking taylor expansion of -1 in x 25.727 * [backup-simplify]: Simplify -1 into -1 25.727 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 25.727 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 25.727 * [taylor]: Taking taylor expansion of 1.0 in x 25.727 * [backup-simplify]: Simplify 1.0 into 1.0 25.727 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 25.727 * [taylor]: Taking taylor expansion of (/ -1 x) in x 25.727 * [taylor]: Taking taylor expansion of -1 in x 25.727 * [backup-simplify]: Simplify -1 into -1 25.727 * [taylor]: Taking taylor expansion of x in x 25.727 * [backup-simplify]: Simplify 0 into 0 25.727 * [backup-simplify]: Simplify 1 into 1 25.728 * [backup-simplify]: Simplify (/ -1 1) into -1 25.728 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 25.728 * [taylor]: Taking taylor expansion of x in x 25.728 * [backup-simplify]: Simplify 0 into 0 25.728 * [backup-simplify]: Simplify 1 into 1 25.729 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 25.729 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 25.729 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 25.729 * [backup-simplify]: Simplify (* -1 0) into 0 25.729 * [backup-simplify]: Simplify 0 into 0 25.730 * [backup-simplify]: Simplify (- 0) into 0 25.730 * [backup-simplify]: Simplify (+ 0 0) into 0 25.730 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 25.731 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 25.731 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 25.731 * [backup-simplify]: Simplify (- 0) into 0 25.731 * [backup-simplify]: Simplify (+ 0 0) into 0 25.732 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 25.733 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 25.733 * [backup-simplify]: Simplify 0 into 0 25.733 * [backup-simplify]: Simplify (- 0) into 0 25.734 * [backup-simplify]: Simplify (+ 0 0) into 0 25.734 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 25.735 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 25.735 * [backup-simplify]: Simplify 0 into 0 25.736 * [backup-simplify]: Simplify (- 0) into 0 25.736 * [backup-simplify]: Simplify (+ 0 0) into 0 25.737 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 25.746 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 25.746 * [backup-simplify]: Simplify 0 into 0 25.746 * [backup-simplify]: Simplify (- 0) into 0 25.747 * [backup-simplify]: Simplify (+ 0 0) into 0 25.748 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 25.754 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 25.754 * [backup-simplify]: Simplify 0 into 0 25.755 * [backup-simplify]: Simplify (- 0) into 0 25.755 * [backup-simplify]: Simplify (+ 0 0) into 0 25.761 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 25.763 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 25.763 * [backup-simplify]: Simplify 0 into 0 25.763 * [backup-simplify]: Simplify (- 0) into 0 25.769 * [backup-simplify]: Simplify (+ 0 0) into 0 25.770 * [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 25.773 * [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 25.773 * [backup-simplify]: Simplify 0 into 0 25.773 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 25.796 * * * * [progress]: [ 3 / 3 ] generating series at (2) 25.796 * [backup-simplify]: Simplify (* (/ (- 1.0 (cos x)) x) (/ 1 x)) into (/ (- 1.0 (cos x)) (pow x 2)) 25.796 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 25.796 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 25.796 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 25.796 * [taylor]: Taking taylor expansion of 1.0 in x 25.796 * [backup-simplify]: Simplify 1.0 into 1.0 25.796 * [taylor]: Taking taylor expansion of (cos x) in x 25.796 * [taylor]: Taking taylor expansion of x in x 25.796 * [backup-simplify]: Simplify 0 into 0 25.796 * [backup-simplify]: Simplify 1 into 1 25.796 * [taylor]: Taking taylor expansion of (pow x 2) in x 25.796 * [taylor]: Taking taylor expansion of x in x 25.796 * [backup-simplify]: Simplify 0 into 0 25.797 * [backup-simplify]: Simplify 1 into 1 25.797 * [backup-simplify]: Simplify (- 1) into -1 25.815 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 25.815 * [backup-simplify]: Simplify (+ 0) into 0 25.816 * [backup-simplify]: Simplify (- 0) into 0 25.816 * [backup-simplify]: Simplify (+ 0 0) into 0 25.817 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 25.817 * [backup-simplify]: Simplify (- -1/2) into 1/2 25.818 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 25.818 * [backup-simplify]: Simplify (* 1 1) into 1 25.819 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 25.819 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 25.819 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 25.819 * [taylor]: Taking taylor expansion of 1.0 in x 25.819 * [backup-simplify]: Simplify 1.0 into 1.0 25.819 * [taylor]: Taking taylor expansion of (cos x) in x 25.819 * [taylor]: Taking taylor expansion of x in x 25.819 * [backup-simplify]: Simplify 0 into 0 25.819 * [backup-simplify]: Simplify 1 into 1 25.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 25.819 * [taylor]: Taking taylor expansion of x in x 25.819 * [backup-simplify]: Simplify 0 into 0 25.819 * [backup-simplify]: Simplify 1 into 1 25.819 * [backup-simplify]: Simplify (- 1) into -1 25.822 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 25.823 * [backup-simplify]: Simplify (+ 0) into 0 25.823 * [backup-simplify]: Simplify (- 0) into 0 25.824 * [backup-simplify]: Simplify (+ 0 0) into 0 25.825 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 25.826 * [backup-simplify]: Simplify (- -1/2) into 1/2 25.826 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 25.826 * [backup-simplify]: Simplify (* 1 1) into 1 25.827 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 25.827 * [backup-simplify]: Simplify 1/2 into 1/2 25.828 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 25.829 * [backup-simplify]: Simplify (- 0) into 0 25.829 * [backup-simplify]: Simplify (+ 0 0) into 0 25.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 25.831 * [backup-simplify]: Simplify 0 into 0 25.834 * [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 25.834 * [backup-simplify]: Simplify (- 1/24) into -1/24 25.837 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 25.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.841 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 25.841 * [backup-simplify]: Simplify -1/24 into -1/24 25.843 * [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 25.843 * [backup-simplify]: Simplify (- 0) into 0 25.852 * [backup-simplify]: Simplify (+ 0 0) into 0 25.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 25.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 25.855 * [backup-simplify]: Simplify 0 into 0 25.860 * [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 25.861 * [backup-simplify]: Simplify (- -1/720) into 1/720 25.862 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 25.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 25.866 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 25.866 * [backup-simplify]: Simplify 1/720 into 1/720 25.867 * [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))) 25.867 * [backup-simplify]: Simplify (* (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 25.867 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 25.867 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 25.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 25.867 * [taylor]: Taking taylor expansion of x in x 25.867 * [backup-simplify]: Simplify 0 into 0 25.868 * [backup-simplify]: Simplify 1 into 1 25.868 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 25.868 * [taylor]: Taking taylor expansion of 1.0 in x 25.868 * [backup-simplify]: Simplify 1.0 into 1.0 25.868 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 25.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 25.868 * [taylor]: Taking taylor expansion of x in x 25.868 * [backup-simplify]: Simplify 0 into 0 25.868 * [backup-simplify]: Simplify 1 into 1 25.868 * [backup-simplify]: Simplify (/ 1 1) into 1 25.868 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 25.868 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 25.868 * [taylor]: Taking taylor expansion of (pow x 2) in x 25.868 * [taylor]: Taking taylor expansion of x in x 25.869 * [backup-simplify]: Simplify 0 into 0 25.869 * [backup-simplify]: Simplify 1 into 1 25.869 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 25.869 * [taylor]: Taking taylor expansion of 1.0 in x 25.869 * [backup-simplify]: Simplify 1.0 into 1.0 25.869 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 25.869 * [taylor]: Taking taylor expansion of (/ 1 x) in x 25.869 * [taylor]: Taking taylor expansion of x in x 25.869 * [backup-simplify]: Simplify 0 into 0 25.869 * [backup-simplify]: Simplify 1 into 1 25.869 * [backup-simplify]: Simplify (/ 1 1) into 1 25.869 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 25.870 * [backup-simplify]: Simplify (* 1 1) into 1 25.870 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 25.870 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 25.870 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 25.870 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 25.871 * [backup-simplify]: Simplify (- 0) into 0 25.871 * [backup-simplify]: Simplify (+ 0 0) into 0 25.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 25.873 * [backup-simplify]: Simplify 0 into 0 25.873 * [backup-simplify]: Simplify (- 0) into 0 25.874 * [backup-simplify]: Simplify (+ 0 0) into 0 25.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 25.876 * [backup-simplify]: Simplify 0 into 0 25.876 * [backup-simplify]: Simplify (- 0) into 0 25.876 * [backup-simplify]: Simplify (+ 0 0) into 0 25.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 25.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 25.879 * [backup-simplify]: Simplify 0 into 0 25.879 * [backup-simplify]: Simplify (- 0) into 0 25.880 * [backup-simplify]: Simplify (+ 0 0) into 0 25.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 25.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 25.883 * [backup-simplify]: Simplify 0 into 0 25.883 * [backup-simplify]: Simplify (- 0) into 0 25.883 * [backup-simplify]: Simplify (+ 0 0) into 0 25.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 25.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 25.892 * [backup-simplify]: Simplify 0 into 0 25.892 * [backup-simplify]: Simplify (- 0) into 0 25.892 * [backup-simplify]: Simplify (+ 0 0) into 0 25.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 25.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 25.897 * [backup-simplify]: Simplify 0 into 0 25.897 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 25.897 * [backup-simplify]: Simplify (* (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 25.897 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 25.897 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 25.897 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 25.897 * [taylor]: Taking taylor expansion of 1.0 in x 25.897 * [backup-simplify]: Simplify 1.0 into 1.0 25.897 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 25.897 * [taylor]: Taking taylor expansion of (/ -1 x) in x 25.897 * [taylor]: Taking taylor expansion of -1 in x 25.897 * [backup-simplify]: Simplify -1 into -1 25.897 * [taylor]: Taking taylor expansion of x in x 25.897 * [backup-simplify]: Simplify 0 into 0 25.898 * [backup-simplify]: Simplify 1 into 1 25.898 * [backup-simplify]: Simplify (/ -1 1) into -1 25.898 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 25.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 25.898 * [taylor]: Taking taylor expansion of x in x 25.898 * [backup-simplify]: Simplify 0 into 0 25.898 * [backup-simplify]: Simplify 1 into 1 25.898 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 25.898 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 25.898 * [taylor]: Taking taylor expansion of 1.0 in x 25.898 * [backup-simplify]: Simplify 1.0 into 1.0 25.898 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 25.898 * [taylor]: Taking taylor expansion of (/ -1 x) in x 25.898 * [taylor]: Taking taylor expansion of -1 in x 25.898 * [backup-simplify]: Simplify -1 into -1 25.898 * [taylor]: Taking taylor expansion of x in x 25.899 * [backup-simplify]: Simplify 0 into 0 25.899 * [backup-simplify]: Simplify 1 into 1 25.899 * [backup-simplify]: Simplify (/ -1 1) into -1 25.899 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 25.899 * [taylor]: Taking taylor expansion of (pow x 2) in x 25.899 * [taylor]: Taking taylor expansion of x in x 25.899 * [backup-simplify]: Simplify 0 into 0 25.899 * [backup-simplify]: Simplify 1 into 1 25.899 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 25.899 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 25.900 * [backup-simplify]: Simplify (* 1 1) into 1 25.900 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 25.900 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 25.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.901 * [backup-simplify]: Simplify (- 0) into 0 25.901 * [backup-simplify]: Simplify (+ 0 0) into 0 25.902 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 25.902 * [backup-simplify]: Simplify 0 into 0 25.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.903 * [backup-simplify]: Simplify (- 0) into 0 25.903 * [backup-simplify]: Simplify (+ 0 0) into 0 25.904 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 25.904 * [backup-simplify]: Simplify 0 into 0 25.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 25.908 * [backup-simplify]: Simplify (- 0) into 0 25.908 * [backup-simplify]: Simplify (+ 0 0) into 0 25.909 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 25.909 * [backup-simplify]: Simplify 0 into 0 25.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 25.911 * [backup-simplify]: Simplify (- 0) into 0 25.911 * [backup-simplify]: Simplify (+ 0 0) into 0 26.072 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 26.073 * [backup-simplify]: Simplify 0 into 0 26.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 26.081 * [backup-simplify]: Simplify (- 0) into 0 26.082 * [backup-simplify]: Simplify (+ 0 0) into 0 26.085 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 26.086 * [backup-simplify]: Simplify 0 into 0 26.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 26.087 * [backup-simplify]: Simplify (- 0) into 0 26.087 * [backup-simplify]: Simplify (+ 0 0) into 0 26.089 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 26.089 * [backup-simplify]: Simplify 0 into 0 26.090 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 26.091 * * * [progress]: simplifying candidates 26.227 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (+ (- (log (- 1.0 (cos x))) (log x)) (- (log x))) (+ (- (log (- 1.0 (cos x))) (log x)) (- 0 (log x))) (+ (- (log (- 1.0 (cos x))) (log x)) (- (log 1) (log x))) (+ (- (log (- 1.0 (cos x))) (log x)) (log (/ 1 x))) (+ (log (/ (- 1.0 (cos x)) x)) (- (log x))) (+ (log (/ (- 1.0 (cos x)) x)) (- 0 (log x))) (+ (log (/ (- 1.0 (cos x)) x)) (- (log 1) (log x))) (+ (log (/ (- 1.0 (cos x)) x)) (log (/ 1 x))) (log (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (exp (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (* (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (/ (* (* 1 1) 1) (* (* x x) x))) (* (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (/ (* (* 1 1) 1) (* (* x x) x))) (* (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (cbrt (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (cbrt (* (/ (- 1.0 (cos x)) x) (/ 1 x)))) (cbrt (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (* (* (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (sqrt (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (sqrt (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (* (- 1.0 (cos x)) 1) (* x x) (* (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ (sqrt 1) (sqrt x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ (sqrt 1) (sqrt x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ 1 (sqrt x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ 1 (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (/ 1 x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (/ 1 x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 (sqrt x))) (* (/ (- 1.0 (cos x)) x) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (/ (- 1.0 (cos x)) x) (sqrt (/ 1 x))) (* (/ (- 1.0 (cos x)) x) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (* (/ (- 1.0 (cos x)) x) (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (* (/ (- 1.0 (cos x)) x) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (/ (- 1.0 (cos x)) x) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (/ (- 1.0 (cos x)) x) (/ (sqrt 1) (sqrt x))) (* (/ (- 1.0 (cos x)) x) (/ (sqrt 1) 1)) (* (/ (- 1.0 (cos x)) x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x))) (* (/ (- 1.0 (cos x)) x) (/ 1 1)) (* (/ (- 1.0 (cos x)) x) 1) (* (/ (- 1.0 (cos x)) x) 1) (* (cbrt (/ (- 1.0 (cos x)) x)) (/ 1 x)) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ 1 x)) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ 1 x)) (* (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ 1 x)) (* (/ (cbrt (- 1.0 (cos x))) x) (/ 1 x)) (* (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 x)) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x)) (* (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 x)) (* (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (* (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ 1 x)) (* (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ 1 x)) (* (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x)) (* (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 x)) (* (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (* (/ 1 x) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) 1) (* (- 1.0 (cos x)) (/ 1 x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 26.233 * * [simplify]: iteration 0: 189 enodes 26.375 * * [simplify]: iteration 1: 537 enodes 27.409 * * [simplify]: iteration 2: 1641 enodes 34.227 * * [simplify]: iteration complete: 5001 enodes 34.227 * * [simplify]: Extracting #0: cost 85 inf + 0 34.282 * * [simplify]: Extracting #1: cost 835 inf + 1 34.302 * * [simplify]: Extracting #2: cost 1380 inf + 6751 34.344 * * [simplify]: Extracting #3: cost 876 inf + 116442 34.429 * * [simplify]: Extracting #4: cost 212 inf + 265377 34.535 * * [simplify]: Extracting #5: cost 9 inf + 330367 34.643 * * [simplify]: Extracting #6: cost 0 inf + 332644 34.836 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x)))) (+ (* 1.0 (+ (cos x) 1.0)) (* (cos x) (cos x))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (* (/ (- 1.0 (cos x)) x) (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x))) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (/ (- 1.0 (cos x)) x) (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x))) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (* (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (+ (sqrt (cos x)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (/ 1 (cbrt x)) (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))) (* (+ (* 1.0 (+ (cos x) 1.0)) (* (cos x) (cos x))) x) (* x (+ (cos x) 1.0)) (/ (- 1.0 (cos x)) (* x x)) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- 1.0 (cos x)) (* x x) (* (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 x))) (sqrt x)) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (* (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (- 1.0 (cos x)) x)) (/ (* (sqrt (/ 1 x)) (- 1.0 (cos x))) x) (/ (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) x) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) x) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) x) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (cbrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (cbrt (- 1.0 (cos x))) x) x) (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt 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)) x) (sqrt 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)) x) (sqrt x)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (/ (/ 1 x) x) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (+ (* (* 1/720 (* x (* x x))) (* x (* x x))) (* (* x x) (- 1/2 (* 1/24 (* x x))))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* (pow x 5) 1/720) (* x (- 1/2 (* (* x x) 1/24)))) (/ (- 1.0 (cos x)) x) (- (/ (- (cos x) 1.0) x)) (+ 1/2 (* (* x x) (- (* 1/720 (* x x)) 1/24))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) 34.874 * * * [progress]: adding candidates to table 36.674 * * [progress]: iteration 4 / 4 36.674 * * * [progress]: picking best candidate 36.836 * * * * [pick]: Picked # 36.836 * * * [progress]: localizing error 36.884 * * * [progress]: generating rewritten candidates 36.884 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 36.897 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 36.912 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 37.163 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 37.359 * * * [progress]: generating series expansions 37.359 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 37.359 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 37.359 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 37.359 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 37.359 * [taylor]: Taking taylor expansion of 1.0 in x 37.359 * [backup-simplify]: Simplify 1.0 into 1.0 37.359 * [taylor]: Taking taylor expansion of (cos x) in x 37.359 * [taylor]: Taking taylor expansion of x in x 37.359 * [backup-simplify]: Simplify 0 into 0 37.359 * [backup-simplify]: Simplify 1 into 1 37.359 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 37.359 * [taylor]: Taking taylor expansion of 1.0 in x 37.359 * [backup-simplify]: Simplify 1.0 into 1.0 37.359 * [taylor]: Taking taylor expansion of (cos x) in x 37.359 * [taylor]: Taking taylor expansion of x in x 37.359 * [backup-simplify]: Simplify 0 into 0 37.359 * [backup-simplify]: Simplify 1 into 1 37.370 * [backup-simplify]: Simplify (- 1) into -1 37.371 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 37.371 * [backup-simplify]: Simplify 0 into 0 37.372 * [backup-simplify]: Simplify (+ 0) into 0 37.377 * [backup-simplify]: Simplify (- 0) into 0 37.378 * [backup-simplify]: Simplify (+ 0 0) into 0 37.378 * [backup-simplify]: Simplify 0 into 0 37.379 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 37.379 * [backup-simplify]: Simplify (- -1/2) into 1/2 37.380 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 37.380 * [backup-simplify]: Simplify 1/2 into 1/2 37.385 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.386 * [backup-simplify]: Simplify (- 0) into 0 37.386 * [backup-simplify]: Simplify (+ 0 0) into 0 37.386 * [backup-simplify]: Simplify 0 into 0 37.389 * [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 37.389 * [backup-simplify]: Simplify (- 1/24) into -1/24 37.390 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 37.390 * [backup-simplify]: Simplify -1/24 into -1/24 37.391 * [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 37.392 * [backup-simplify]: Simplify (- 0) into 0 37.392 * [backup-simplify]: Simplify (+ 0 0) into 0 37.392 * [backup-simplify]: Simplify 0 into 0 37.396 * [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 37.396 * [backup-simplify]: Simplify (- -1/720) into 1/720 37.397 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 37.397 * [backup-simplify]: Simplify 1/720 into 1/720 37.398 * [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))) 37.398 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 37.398 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 37.398 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 37.398 * [taylor]: Taking taylor expansion of 1.0 in x 37.398 * [backup-simplify]: Simplify 1.0 into 1.0 37.398 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 37.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 37.398 * [taylor]: Taking taylor expansion of x in x 37.398 * [backup-simplify]: Simplify 0 into 0 37.398 * [backup-simplify]: Simplify 1 into 1 37.398 * [backup-simplify]: Simplify (/ 1 1) into 1 37.399 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 37.399 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 37.399 * [taylor]: Taking taylor expansion of 1.0 in x 37.399 * [backup-simplify]: Simplify 1.0 into 1.0 37.399 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 37.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 37.399 * [taylor]: Taking taylor expansion of x in x 37.399 * [backup-simplify]: Simplify 0 into 0 37.399 * [backup-simplify]: Simplify 1 into 1 37.399 * [backup-simplify]: Simplify (/ 1 1) into 1 37.399 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 37.399 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 37.400 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 37.400 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 37.400 * [backup-simplify]: Simplify (- 0) into 0 37.400 * [backup-simplify]: Simplify (+ 0 0) into 0 37.401 * [backup-simplify]: Simplify 0 into 0 37.401 * [backup-simplify]: Simplify (- 0) into 0 37.401 * [backup-simplify]: Simplify (+ 0 0) into 0 37.401 * [backup-simplify]: Simplify 0 into 0 37.402 * [backup-simplify]: Simplify (- 0) into 0 37.402 * [backup-simplify]: Simplify (+ 0 0) into 0 37.402 * [backup-simplify]: Simplify 0 into 0 37.402 * [backup-simplify]: Simplify (- 0) into 0 37.403 * [backup-simplify]: Simplify (+ 0 0) into 0 37.403 * [backup-simplify]: Simplify 0 into 0 37.403 * [backup-simplify]: Simplify (- 0) into 0 37.424 * [backup-simplify]: Simplify (+ 0 0) into 0 37.424 * [backup-simplify]: Simplify 0 into 0 37.425 * [backup-simplify]: Simplify (- 0) into 0 37.425 * [backup-simplify]: Simplify (+ 0 0) into 0 37.425 * [backup-simplify]: Simplify 0 into 0 37.426 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 37.426 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 37.426 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 37.426 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 37.426 * [taylor]: Taking taylor expansion of 1.0 in x 37.426 * [backup-simplify]: Simplify 1.0 into 1.0 37.426 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 37.426 * [taylor]: Taking taylor expansion of (/ -1 x) in x 37.426 * [taylor]: Taking taylor expansion of -1 in x 37.426 * [backup-simplify]: Simplify -1 into -1 37.426 * [taylor]: Taking taylor expansion of x in x 37.426 * [backup-simplify]: Simplify 0 into 0 37.426 * [backup-simplify]: Simplify 1 into 1 37.427 * [backup-simplify]: Simplify (/ -1 1) into -1 37.427 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 37.427 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 37.427 * [taylor]: Taking taylor expansion of 1.0 in x 37.427 * [backup-simplify]: Simplify 1.0 into 1.0 37.427 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 37.427 * [taylor]: Taking taylor expansion of (/ -1 x) in x 37.427 * [taylor]: Taking taylor expansion of -1 in x 37.427 * [backup-simplify]: Simplify -1 into -1 37.427 * [taylor]: Taking taylor expansion of x in x 37.427 * [backup-simplify]: Simplify 0 into 0 37.427 * [backup-simplify]: Simplify 1 into 1 37.428 * [backup-simplify]: Simplify (/ -1 1) into -1 37.428 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 37.428 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 37.428 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 37.429 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 37.429 * [backup-simplify]: Simplify (- 0) into 0 37.430 * [backup-simplify]: Simplify (+ 0 0) into 0 37.430 * [backup-simplify]: Simplify 0 into 0 37.430 * [backup-simplify]: Simplify (- 0) into 0 37.430 * [backup-simplify]: Simplify (+ 0 0) into 0 37.430 * [backup-simplify]: Simplify 0 into 0 37.431 * [backup-simplify]: Simplify (- 0) into 0 37.431 * [backup-simplify]: Simplify (+ 0 0) into 0 37.431 * [backup-simplify]: Simplify 0 into 0 37.436 * [backup-simplify]: Simplify (- 0) into 0 37.437 * [backup-simplify]: Simplify (+ 0 0) into 0 37.437 * [backup-simplify]: Simplify 0 into 0 37.437 * [backup-simplify]: Simplify (- 0) into 0 37.438 * [backup-simplify]: Simplify (+ 0 0) into 0 37.438 * [backup-simplify]: Simplify 0 into 0 37.438 * [backup-simplify]: Simplify (- 0) into 0 37.439 * [backup-simplify]: Simplify (+ 0 0) into 0 37.439 * [backup-simplify]: Simplify 0 into 0 37.439 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 37.439 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 37.439 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 37.439 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 37.439 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 37.439 * [taylor]: Taking taylor expansion of 1.0 in x 37.439 * [backup-simplify]: Simplify 1.0 into 1.0 37.439 * [taylor]: Taking taylor expansion of (cos x) in x 37.439 * [taylor]: Taking taylor expansion of x in x 37.439 * [backup-simplify]: Simplify 0 into 0 37.439 * [backup-simplify]: Simplify 1 into 1 37.439 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 37.439 * [taylor]: Taking taylor expansion of 1.0 in x 37.440 * [backup-simplify]: Simplify 1.0 into 1.0 37.440 * [taylor]: Taking taylor expansion of (cos x) in x 37.440 * [taylor]: Taking taylor expansion of x in x 37.440 * [backup-simplify]: Simplify 0 into 0 37.440 * [backup-simplify]: Simplify 1 into 1 37.440 * [backup-simplify]: Simplify (- 1) into -1 37.441 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 37.441 * [backup-simplify]: Simplify 0 into 0 37.441 * [backup-simplify]: Simplify (+ 0) into 0 37.441 * [backup-simplify]: Simplify (- 0) into 0 37.442 * [backup-simplify]: Simplify (+ 0 0) into 0 37.442 * [backup-simplify]: Simplify 0 into 0 37.443 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 37.443 * [backup-simplify]: Simplify (- -1/2) into 1/2 37.444 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 37.444 * [backup-simplify]: Simplify 1/2 into 1/2 37.445 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.445 * [backup-simplify]: Simplify (- 0) into 0 37.446 * [backup-simplify]: Simplify (+ 0 0) into 0 37.446 * [backup-simplify]: Simplify 0 into 0 37.449 * [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 37.449 * [backup-simplify]: Simplify (- 1/24) into -1/24 37.450 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 37.450 * [backup-simplify]: Simplify -1/24 into -1/24 37.468 * [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 37.469 * [backup-simplify]: Simplify (- 0) into 0 37.470 * [backup-simplify]: Simplify (+ 0 0) into 0 37.470 * [backup-simplify]: Simplify 0 into 0 37.477 * [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 37.478 * [backup-simplify]: Simplify (- -1/720) into 1/720 37.478 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 37.478 * [backup-simplify]: Simplify 1/720 into 1/720 37.479 * [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))) 37.479 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 37.479 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 37.479 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 37.479 * [taylor]: Taking taylor expansion of 1.0 in x 37.479 * [backup-simplify]: Simplify 1.0 into 1.0 37.479 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 37.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 37.479 * [taylor]: Taking taylor expansion of x in x 37.479 * [backup-simplify]: Simplify 0 into 0 37.479 * [backup-simplify]: Simplify 1 into 1 37.480 * [backup-simplify]: Simplify (/ 1 1) into 1 37.480 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 37.480 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 37.480 * [taylor]: Taking taylor expansion of 1.0 in x 37.480 * [backup-simplify]: Simplify 1.0 into 1.0 37.480 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 37.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 37.480 * [taylor]: Taking taylor expansion of x in x 37.480 * [backup-simplify]: Simplify 0 into 0 37.480 * [backup-simplify]: Simplify 1 into 1 37.480 * [backup-simplify]: Simplify (/ 1 1) into 1 37.480 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 37.481 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 37.481 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 37.481 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 37.481 * [backup-simplify]: Simplify (- 0) into 0 37.482 * [backup-simplify]: Simplify (+ 0 0) into 0 37.482 * [backup-simplify]: Simplify 0 into 0 37.482 * [backup-simplify]: Simplify (- 0) into 0 37.482 * [backup-simplify]: Simplify (+ 0 0) into 0 37.482 * [backup-simplify]: Simplify 0 into 0 37.483 * [backup-simplify]: Simplify (- 0) into 0 37.483 * [backup-simplify]: Simplify (+ 0 0) into 0 37.483 * [backup-simplify]: Simplify 0 into 0 37.483 * [backup-simplify]: Simplify (- 0) into 0 37.484 * [backup-simplify]: Simplify (+ 0 0) into 0 37.484 * [backup-simplify]: Simplify 0 into 0 37.484 * [backup-simplify]: Simplify (- 0) into 0 37.484 * [backup-simplify]: Simplify (+ 0 0) into 0 37.484 * [backup-simplify]: Simplify 0 into 0 37.485 * [backup-simplify]: Simplify (- 0) into 0 37.485 * [backup-simplify]: Simplify (+ 0 0) into 0 37.485 * [backup-simplify]: Simplify 0 into 0 37.485 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 37.486 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 37.486 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 37.486 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 37.486 * [taylor]: Taking taylor expansion of 1.0 in x 37.486 * [backup-simplify]: Simplify 1.0 into 1.0 37.486 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 37.486 * [taylor]: Taking taylor expansion of (/ -1 x) in x 37.486 * [taylor]: Taking taylor expansion of -1 in x 37.486 * [backup-simplify]: Simplify -1 into -1 37.486 * [taylor]: Taking taylor expansion of x in x 37.486 * [backup-simplify]: Simplify 0 into 0 37.486 * [backup-simplify]: Simplify 1 into 1 37.486 * [backup-simplify]: Simplify (/ -1 1) into -1 37.486 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 37.486 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 37.486 * [taylor]: Taking taylor expansion of 1.0 in x 37.486 * [backup-simplify]: Simplify 1.0 into 1.0 37.486 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 37.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 37.487 * [taylor]: Taking taylor expansion of -1 in x 37.487 * [backup-simplify]: Simplify -1 into -1 37.487 * [taylor]: Taking taylor expansion of x in x 37.487 * [backup-simplify]: Simplify 0 into 0 37.487 * [backup-simplify]: Simplify 1 into 1 37.487 * [backup-simplify]: Simplify (/ -1 1) into -1 37.487 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 37.487 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 37.487 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 37.488 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 37.488 * [backup-simplify]: Simplify (- 0) into 0 37.488 * [backup-simplify]: Simplify (+ 0 0) into 0 37.488 * [backup-simplify]: Simplify 0 into 0 37.489 * [backup-simplify]: Simplify (- 0) into 0 37.489 * [backup-simplify]: Simplify (+ 0 0) into 0 37.489 * [backup-simplify]: Simplify 0 into 0 37.490 * [backup-simplify]: Simplify (- 0) into 0 37.490 * [backup-simplify]: Simplify (+ 0 0) into 0 37.490 * [backup-simplify]: Simplify 0 into 0 37.490 * [backup-simplify]: Simplify (- 0) into 0 37.491 * [backup-simplify]: Simplify (+ 0 0) into 0 37.491 * [backup-simplify]: Simplify 0 into 0 37.491 * [backup-simplify]: Simplify (- 0) into 0 37.492 * [backup-simplify]: Simplify (+ 0 0) into 0 37.492 * [backup-simplify]: Simplify 0 into 0 37.493 * [backup-simplify]: Simplify (- 0) into 0 37.493 * [backup-simplify]: Simplify (+ 0 0) into 0 37.493 * [backup-simplify]: Simplify 0 into 0 37.493 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 37.493 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 37.494 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos x))) (/ 1 x)) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 37.494 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 37.494 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 37.494 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 37.494 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 37.494 * [taylor]: Taking taylor expansion of 1.0 in x 37.494 * [backup-simplify]: Simplify 1.0 into 1.0 37.494 * [taylor]: Taking taylor expansion of (cos x) in x 37.494 * [taylor]: Taking taylor expansion of x in x 37.494 * [backup-simplify]: Simplify 0 into 0 37.494 * [backup-simplify]: Simplify 1 into 1 37.494 * [backup-simplify]: Simplify (- 1) into -1 37.495 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 37.495 * [backup-simplify]: Simplify (+ 0) into 0 37.495 * [backup-simplify]: Simplify (- 0) into 0 37.500 * [backup-simplify]: Simplify (+ 0 0) into 0 37.501 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 37.501 * [backup-simplify]: Simplify (- -1/2) into 1/2 37.502 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 37.502 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 37.503 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.504 * [backup-simplify]: Simplify (- 0) into 0 37.504 * [backup-simplify]: Simplify (+ 0 0) into 0 37.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 37.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 37.505 * [taylor]: Taking taylor expansion of x in x 37.505 * [backup-simplify]: Simplify 0 into 0 37.505 * [backup-simplify]: Simplify 1 into 1 37.506 * [backup-simplify]: Simplify (/ 1 1) into 1 37.506 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 37.506 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 37.506 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 37.506 * [taylor]: Taking taylor expansion of 1.0 in x 37.506 * [backup-simplify]: Simplify 1.0 into 1.0 37.506 * [taylor]: Taking taylor expansion of (cos x) in x 37.506 * [taylor]: Taking taylor expansion of x in x 37.506 * [backup-simplify]: Simplify 0 into 0 37.506 * [backup-simplify]: Simplify 1 into 1 37.507 * [backup-simplify]: Simplify (- 1) into -1 37.507 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 37.508 * [backup-simplify]: Simplify (+ 0) into 0 37.509 * [backup-simplify]: Simplify (- 0) into 0 37.509 * [backup-simplify]: Simplify (+ 0 0) into 0 37.510 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 37.511 * [backup-simplify]: Simplify (- -1/2) into 1/2 37.511 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 37.512 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 37.513 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.514 * [backup-simplify]: Simplify (- 0) into 0 37.515 * [backup-simplify]: Simplify (+ 0 0) into 0 37.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 37.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 37.516 * [taylor]: Taking taylor expansion of x in x 37.516 * [backup-simplify]: Simplify 0 into 0 37.516 * [backup-simplify]: Simplify 1 into 1 37.517 * [backup-simplify]: Simplify (/ 1 1) into 1 37.518 * [backup-simplify]: Simplify (* (sqrt 1/2) 1) into (sqrt 1/2) 37.518 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 37.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.520 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 1)) into 0 37.521 * [backup-simplify]: Simplify 0 into 0 37.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.525 * [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 37.526 * [backup-simplify]: Simplify (- 1/24) into -1/24 37.527 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 37.649 * [backup-simplify]: Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) 37.654 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/48 (sqrt 1/2)) 1))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 37.681 * [backup-simplify]: Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 37.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.689 * [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 37.689 * [backup-simplify]: Simplify (- 0) into 0 37.690 * [backup-simplify]: Simplify (+ 0 0) into 0 37.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 37.698 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (* 0 1)))) into 0 37.698 * [backup-simplify]: Simplify 0 into 0 37.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.714 * [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 37.714 * [backup-simplify]: Simplify (- -1/720) into 1/720 37.715 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 37.729 * [backup-simplify]: Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 37.780 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (+ (* 0 0) (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1))))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 37.784 * [backup-simplify]: Simplify (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 37.794 * [backup-simplify]: Simplify (+ (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) 37.795 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 (/ 1 x))) into (* x (sqrt (- 1.0 (cos (/ 1 x))))) 37.795 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 37.795 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 37.795 * [taylor]: Taking taylor expansion of x in x 37.795 * [backup-simplify]: Simplify 0 into 0 37.795 * [backup-simplify]: Simplify 1 into 1 37.795 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 37.795 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 37.795 * [taylor]: Taking taylor expansion of 1.0 in x 37.795 * [backup-simplify]: Simplify 1.0 into 1.0 37.795 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 37.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 37.795 * [taylor]: Taking taylor expansion of x in x 37.795 * [backup-simplify]: Simplify 0 into 0 37.795 * [backup-simplify]: Simplify 1 into 1 37.796 * [backup-simplify]: Simplify (/ 1 1) into 1 37.796 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 37.796 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 37.796 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 37.797 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 37.797 * [backup-simplify]: Simplify (- 0) into 0 37.798 * [backup-simplify]: Simplify (+ 0 0) into 0 37.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 37.798 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 37.798 * [taylor]: Taking taylor expansion of x in x 37.798 * [backup-simplify]: Simplify 0 into 0 37.798 * [backup-simplify]: Simplify 1 into 1 37.798 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 37.798 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 37.798 * [taylor]: Taking taylor expansion of 1.0 in x 37.798 * [backup-simplify]: Simplify 1.0 into 1.0 37.798 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 37.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 37.798 * [taylor]: Taking taylor expansion of x in x 37.798 * [backup-simplify]: Simplify 0 into 0 37.798 * [backup-simplify]: Simplify 1 into 1 37.799 * [backup-simplify]: Simplify (/ 1 1) into 1 37.799 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 37.799 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 37.799 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 37.799 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 37.800 * [backup-simplify]: Simplify (- 0) into 0 37.800 * [backup-simplify]: Simplify (+ 0 0) into 0 37.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 37.800 * [backup-simplify]: Simplify (* 0 (sqrt (- 1.0 (cos (/ 1 x))))) into 0 37.801 * [backup-simplify]: Simplify 0 into 0 37.801 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (- 1.0 (cos (/ 1 x)))))) into (sqrt (- 1.0 (cos (/ 1 x)))) 37.801 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 37.802 * [backup-simplify]: Simplify (- 0) into 0 37.802 * [backup-simplify]: Simplify (+ 0 0) into 0 37.803 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 37.804 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))) into 0 37.804 * [backup-simplify]: Simplify 0 into 0 37.805 * [backup-simplify]: Simplify (- 0) into 0 37.805 * [backup-simplify]: Simplify (+ 0 0) into 0 37.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 37.808 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))) into 0 37.808 * [backup-simplify]: Simplify 0 into 0 37.809 * [backup-simplify]: Simplify (- 0) into 0 37.810 * [backup-simplify]: Simplify (+ 0 0) into 0 37.811 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 37.814 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))) into 0 37.814 * [backup-simplify]: Simplify 0 into 0 37.815 * [backup-simplify]: Simplify (- 0) into 0 37.815 * [backup-simplify]: Simplify (+ 0 0) into 0 37.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 37.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))) into 0 37.819 * [backup-simplify]: Simplify 0 into 0 37.819 * [backup-simplify]: Simplify (- 0) into 0 37.820 * [backup-simplify]: Simplify (+ 0 0) into 0 37.821 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 37.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))))) into 0 37.823 * [backup-simplify]: Simplify 0 into 0 37.823 * [backup-simplify]: Simplify (- 0) into 0 37.824 * [backup-simplify]: Simplify (+ 0 0) into 0 37.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 37.828 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))))) into 0 37.828 * [backup-simplify]: Simplify 0 into 0 37.828 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 x)) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 37.828 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (/ 1 (- x)))) into (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) 37.828 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 37.829 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 37.829 * [taylor]: Taking taylor expansion of -1 in x 37.829 * [backup-simplify]: Simplify -1 into -1 37.829 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 37.829 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 37.829 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 37.829 * [taylor]: Taking taylor expansion of 1.0 in x 37.829 * [backup-simplify]: Simplify 1.0 into 1.0 37.829 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 37.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 37.829 * [taylor]: Taking taylor expansion of -1 in x 37.829 * [backup-simplify]: Simplify -1 into -1 37.829 * [taylor]: Taking taylor expansion of x in x 37.829 * [backup-simplify]: Simplify 0 into 0 37.829 * [backup-simplify]: Simplify 1 into 1 37.830 * [backup-simplify]: Simplify (/ -1 1) into -1 37.830 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 37.830 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 37.830 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 37.830 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 37.831 * [backup-simplify]: Simplify (- 0) into 0 37.831 * [backup-simplify]: Simplify (+ 0 0) into 0 37.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 37.832 * [taylor]: Taking taylor expansion of x in x 37.832 * [backup-simplify]: Simplify 0 into 0 37.832 * [backup-simplify]: Simplify 1 into 1 37.832 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 37.832 * [taylor]: Taking taylor expansion of -1 in x 37.832 * [backup-simplify]: Simplify -1 into -1 37.832 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 37.832 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 37.832 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 37.832 * [taylor]: Taking taylor expansion of 1.0 in x 37.832 * [backup-simplify]: Simplify 1.0 into 1.0 37.832 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 37.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 37.832 * [taylor]: Taking taylor expansion of -1 in x 37.832 * [backup-simplify]: Simplify -1 into -1 37.832 * [taylor]: Taking taylor expansion of x in x 37.832 * [backup-simplify]: Simplify 0 into 0 37.832 * [backup-simplify]: Simplify 1 into 1 37.833 * [backup-simplify]: Simplify (/ -1 1) into -1 37.833 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 37.833 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 37.833 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 37.834 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 37.834 * [backup-simplify]: Simplify (- 0) into 0 37.835 * [backup-simplify]: Simplify (+ 0 0) into 0 37.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 37.835 * [taylor]: Taking taylor expansion of x in x 37.835 * [backup-simplify]: Simplify 0 into 0 37.835 * [backup-simplify]: Simplify 1 into 1 37.835 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) into 0 37.836 * [backup-simplify]: Simplify (* -1 0) into 0 37.836 * [backup-simplify]: Simplify 0 into 0 37.837 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 1) (* 0 0)) into (sqrt (- 1.0 (cos (/ -1 x)))) 37.838 * [backup-simplify]: Simplify (+ (* -1 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 37.838 * [backup-simplify]: Simplify (- (sqrt (- 1.0 (cos (/ -1 x))))) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 37.838 * [backup-simplify]: Simplify (- 0) into 0 37.839 * [backup-simplify]: Simplify (+ 0 0) into 0 37.839 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 37.840 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 1) (* 0 0))) into 0 37.841 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))) into 0 37.841 * [backup-simplify]: Simplify 0 into 0 37.841 * [backup-simplify]: Simplify (- 0) into 0 37.842 * [backup-simplify]: Simplify (+ 0 0) into 0 37.843 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 37.844 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 37.845 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))) into 0 37.845 * [backup-simplify]: Simplify 0 into 0 37.846 * [backup-simplify]: Simplify (- 0) into 0 37.846 * [backup-simplify]: Simplify (+ 0 0) into 0 37.847 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 37.849 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 37.851 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))) into 0 37.851 * [backup-simplify]: Simplify 0 into 0 37.852 * [backup-simplify]: Simplify (- 0) into 0 37.852 * [backup-simplify]: Simplify (+ 0 0) into 0 37.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 37.854 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 37.856 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))) into 0 37.857 * [backup-simplify]: Simplify 0 into 0 37.857 * [backup-simplify]: Simplify (- 0) into 0 37.857 * [backup-simplify]: Simplify (+ 0 0) into 0 37.859 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 37.860 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 37.863 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))))) into 0 37.863 * [backup-simplify]: Simplify 0 into 0 37.864 * [backup-simplify]: Simplify (- 0) into 0 37.864 * [backup-simplify]: Simplify (+ 0 0) into 0 37.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 37.867 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 37.869 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))))) into 0 37.870 * [backup-simplify]: Simplify 0 into 0 37.870 * [backup-simplify]: Simplify (* (- (sqrt (- 1.0 (cos (/ -1 (/ 1 (- x))))))) (/ 1 (- x))) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 37.870 * * * * [progress]: [ 4 / 4 ] generating series at (2) 37.870 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (cos x))) x) (* (sqrt (- 1.0 (cos x))) (/ 1 x))) into (/ (- 1.0 (cos x)) (pow x 2)) 37.870 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 37.870 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 37.870 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 37.870 * [taylor]: Taking taylor expansion of 1.0 in x 37.870 * [backup-simplify]: Simplify 1.0 into 1.0 37.870 * [taylor]: Taking taylor expansion of (cos x) in x 37.870 * [taylor]: Taking taylor expansion of x in x 37.870 * [backup-simplify]: Simplify 0 into 0 37.870 * [backup-simplify]: Simplify 1 into 1 37.870 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.870 * [taylor]: Taking taylor expansion of x in x 37.870 * [backup-simplify]: Simplify 0 into 0 37.870 * [backup-simplify]: Simplify 1 into 1 37.871 * [backup-simplify]: Simplify (- 1) into -1 37.871 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 37.871 * [backup-simplify]: Simplify (+ 0) into 0 37.871 * [backup-simplify]: Simplify (- 0) into 0 37.873 * [backup-simplify]: Simplify (+ 0 0) into 0 37.874 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 37.874 * [backup-simplify]: Simplify (- -1/2) into 1/2 37.875 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 37.875 * [backup-simplify]: Simplify (* 1 1) into 1 37.875 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 37.875 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 37.875 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 37.875 * [taylor]: Taking taylor expansion of 1.0 in x 37.875 * [backup-simplify]: Simplify 1.0 into 1.0 37.875 * [taylor]: Taking taylor expansion of (cos x) in x 37.875 * [taylor]: Taking taylor expansion of x in x 37.875 * [backup-simplify]: Simplify 0 into 0 37.875 * [backup-simplify]: Simplify 1 into 1 37.875 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.875 * [taylor]: Taking taylor expansion of x in x 37.875 * [backup-simplify]: Simplify 0 into 0 37.875 * [backup-simplify]: Simplify 1 into 1 37.876 * [backup-simplify]: Simplify (- 1) into -1 37.876 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 37.876 * [backup-simplify]: Simplify (+ 0) into 0 37.877 * [backup-simplify]: Simplify (- 0) into 0 37.877 * [backup-simplify]: Simplify (+ 0 0) into 0 37.878 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 37.884 * [backup-simplify]: Simplify (- -1/2) into 1/2 37.885 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 37.892 * [backup-simplify]: Simplify (* 1 1) into 1 37.947 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 37.949 * [backup-simplify]: Simplify 1/2 into 1/2 37.961 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.962 * [backup-simplify]: Simplify (- 0) into 0 37.962 * [backup-simplify]: Simplify (+ 0 0) into 0 37.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 37.967 * [backup-simplify]: Simplify 0 into 0 37.971 * [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 37.971 * [backup-simplify]: Simplify (- 1/24) into -1/24 37.972 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 37.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 38.014 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 38.014 * [backup-simplify]: Simplify -1/24 into -1/24 38.022 * [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 38.032 * [backup-simplify]: Simplify (- 0) into 0 38.033 * [backup-simplify]: Simplify (+ 0 0) into 0 38.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 38.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 38.036 * [backup-simplify]: Simplify 0 into 0 38.045 * [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 38.045 * [backup-simplify]: Simplify (- -1/720) into 1/720 38.046 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 38.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 38.058 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 38.058 * [backup-simplify]: Simplify 1/720 into 1/720 38.059 * [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))) 38.059 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x)) (* (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 (/ 1 x)))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 38.059 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 38.059 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 38.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 38.059 * [taylor]: Taking taylor expansion of x in x 38.059 * [backup-simplify]: Simplify 0 into 0 38.059 * [backup-simplify]: Simplify 1 into 1 38.060 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 38.060 * [taylor]: Taking taylor expansion of 1.0 in x 38.060 * [backup-simplify]: Simplify 1.0 into 1.0 38.060 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 38.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 38.060 * [taylor]: Taking taylor expansion of x in x 38.060 * [backup-simplify]: Simplify 0 into 0 38.060 * [backup-simplify]: Simplify 1 into 1 38.060 * [backup-simplify]: Simplify (/ 1 1) into 1 38.060 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 38.060 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 38.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 38.060 * [taylor]: Taking taylor expansion of x in x 38.060 * [backup-simplify]: Simplify 0 into 0 38.060 * [backup-simplify]: Simplify 1 into 1 38.060 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 38.060 * [taylor]: Taking taylor expansion of 1.0 in x 38.061 * [backup-simplify]: Simplify 1.0 into 1.0 38.061 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 38.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 38.061 * [taylor]: Taking taylor expansion of x in x 38.061 * [backup-simplify]: Simplify 0 into 0 38.061 * [backup-simplify]: Simplify 1 into 1 38.061 * [backup-simplify]: Simplify (/ 1 1) into 1 38.061 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 38.062 * [backup-simplify]: Simplify (* 1 1) into 1 38.062 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 38.080 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 38.080 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 38.080 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 38.081 * [backup-simplify]: Simplify (- 0) into 0 38.082 * [backup-simplify]: Simplify (+ 0 0) into 0 38.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 38.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 38.083 * [backup-simplify]: Simplify 0 into 0 38.083 * [backup-simplify]: Simplify (- 0) into 0 38.094 * [backup-simplify]: Simplify (+ 0 0) into 0 38.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 38.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 38.097 * [backup-simplify]: Simplify 0 into 0 38.097 * [backup-simplify]: Simplify (- 0) into 0 38.098 * [backup-simplify]: Simplify (+ 0 0) into 0 38.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 38.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 38.115 * [backup-simplify]: Simplify 0 into 0 38.124 * [backup-simplify]: Simplify (- 0) into 0 38.124 * [backup-simplify]: Simplify (+ 0 0) into 0 38.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 38.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 38.138 * [backup-simplify]: Simplify 0 into 0 38.139 * [backup-simplify]: Simplify (- 0) into 0 38.139 * [backup-simplify]: Simplify (+ 0 0) into 0 38.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 38.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 38.146 * [backup-simplify]: Simplify 0 into 0 38.146 * [backup-simplify]: Simplify (- 0) into 0 38.147 * [backup-simplify]: Simplify (+ 0 0) into 0 38.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 38.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 38.151 * [backup-simplify]: Simplify 0 into 0 38.151 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 38.153 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x))) (* (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (/ 1 (- x))))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 38.153 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 38.153 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 38.153 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 38.153 * [taylor]: Taking taylor expansion of 1.0 in x 38.153 * [backup-simplify]: Simplify 1.0 into 1.0 38.153 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 38.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x 38.153 * [taylor]: Taking taylor expansion of -1 in x 38.153 * [backup-simplify]: Simplify -1 into -1 38.153 * [taylor]: Taking taylor expansion of x in x 38.153 * [backup-simplify]: Simplify 0 into 0 38.153 * [backup-simplify]: Simplify 1 into 1 38.154 * [backup-simplify]: Simplify (/ -1 1) into -1 38.154 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 38.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 38.154 * [taylor]: Taking taylor expansion of x in x 38.154 * [backup-simplify]: Simplify 0 into 0 38.154 * [backup-simplify]: Simplify 1 into 1 38.154 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 38.154 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 38.154 * [taylor]: Taking taylor expansion of 1.0 in x 38.155 * [backup-simplify]: Simplify 1.0 into 1.0 38.155 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 38.155 * [taylor]: Taking taylor expansion of (/ -1 x) in x 38.155 * [taylor]: Taking taylor expansion of -1 in x 38.155 * [backup-simplify]: Simplify -1 into -1 38.155 * [taylor]: Taking taylor expansion of x in x 38.155 * [backup-simplify]: Simplify 0 into 0 38.155 * [backup-simplify]: Simplify 1 into 1 38.155 * [backup-simplify]: Simplify (/ -1 1) into -1 38.155 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 38.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 38.155 * [taylor]: Taking taylor expansion of x in x 38.155 * [backup-simplify]: Simplify 0 into 0 38.155 * [backup-simplify]: Simplify 1 into 1 38.156 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 38.156 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 38.156 * [backup-simplify]: Simplify (* 1 1) into 1 38.156 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 38.156 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 38.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 38.158 * [backup-simplify]: Simplify (- 0) into 0 38.158 * [backup-simplify]: Simplify (+ 0 0) into 0 38.158 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 38.158 * [backup-simplify]: Simplify 0 into 0 38.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 38.161 * [backup-simplify]: Simplify (- 0) into 0 38.161 * [backup-simplify]: Simplify (+ 0 0) into 0 38.162 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 38.162 * [backup-simplify]: Simplify 0 into 0 38.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 38.163 * [backup-simplify]: Simplify (- 0) into 0 38.164 * [backup-simplify]: Simplify (+ 0 0) into 0 38.165 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 38.165 * [backup-simplify]: Simplify 0 into 0 38.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 38.167 * [backup-simplify]: Simplify (- 0) into 0 38.168 * [backup-simplify]: Simplify (+ 0 0) into 0 38.169 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 38.169 * [backup-simplify]: Simplify 0 into 0 38.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 38.170 * [backup-simplify]: Simplify (- 0) into 0 38.171 * [backup-simplify]: Simplify (+ 0 0) into 0 38.172 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 38.172 * [backup-simplify]: Simplify 0 into 0 38.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 38.174 * [backup-simplify]: Simplify (- 0) into 0 38.175 * [backup-simplify]: Simplify (+ 0 0) into 0 38.177 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 38.178 * [backup-simplify]: Simplify 0 into 0 38.178 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 38.178 * * * [progress]: simplifying candidates 38.183 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (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)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (+ (log (sqrt (- 1.0 (cos x)))) (- (log x))) (+ (log (sqrt (- 1.0 (cos x)))) (- 0 (log x))) (+ (log (sqrt (- 1.0 (cos x)))) (- (log 1) (log x))) (+ (log (sqrt (- 1.0 (cos x)))) (log (/ 1 x))) (log (* (sqrt (- 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x)))) (sqrt x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (* (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (* (/ (sqrt (- 1.0 (cos x))) x) (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (* (/ (sqrt (- 1.0 (cos x))) x) (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (* (/ 1 x) (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (* (/ (sqrt (- 1.0 (cos x))) x) (* (sqrt (- (pow 1.0 3) (pow (cos x) 3))) 1)) (* (/ (sqrt (- 1.0 (cos x))) x) (* (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) 1)) (* (/ (sqrt (- 1.0 (cos x))) x) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (* (sqrt (- 1.0 (cos x))) 1)) (* (/ (sqrt (- 1.0 (cos x))) x) (* (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (/ 1 x))) (* (/ (sqrt (- 1.0 (cos x))) x) (* (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (/ 1 x))) (* (sqrt (- 1.0 (cos x))) (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 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)) 38.192 * * [simplify]: iteration 0: 226 enodes 38.519 * * [simplify]: iteration 1: 617 enodes 39.416 * * [simplify]: iteration 2: 2092 enodes 46.006 * * [simplify]: iteration complete: 5001 enodes 46.025 * * [simplify]: Extracting #0: cost 75 inf + 0 46.034 * * [simplify]: Extracting #1: cost 701 inf + 0 46.064 * * [simplify]: Extracting #2: cost 1419 inf + 1677 46.090 * * [simplify]: Extracting #3: cost 1476 inf + 13090 46.114 * * [simplify]: Extracting #4: cost 1224 inf + 59087 46.318 * * [simplify]: Extracting #5: cost 851 inf + 167820 46.587 * * [simplify]: Extracting #6: cost 187 inf + 377044 46.810 * * [simplify]: Extracting #7: cost 0 inf + 435031 47.052 * * [simplify]: Extracting #8: cost 0 inf + 434263 47.376 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (- 1.0 (cos x)) (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x)))) (+ (* 1.0 (+ (cos x) 1.0)) (* (cos x) (cos x))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (- 1.0 (cos x)) (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x)))) (+ (* 1.0 (+ (cos x) 1.0)) (* (cos x) (cos x))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (sqrt (- 1.0 (cos x))) x) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x))))) (* (sqrt (+ (* 1.0 (+ (cos x) 1.0)) (* (cos x) (cos x)))) x) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (sqrt (+ (cos x) 1.0)) x) (* (sqrt (/ 1 x)) (sqrt (sqrt (- 1.0 (cos x))))) (* (sqrt (/ 1 x)) (sqrt (sqrt (- 1.0 (cos x))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (* (sqrt (/ 1 x)) (sqrt (sqrt (- 1.0 (cos x))))) (* (sqrt (/ 1 x)) (sqrt (sqrt (- 1.0 (cos x))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (* (sqrt (- 1.0 (cos x))) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (sqrt (/ 1 x)) (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) x) (sqrt (- 1.0 (cos x))) (/ (sqrt (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x))))) x) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) x) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (* (/ (- 1.0 (cos x)) (* x x)) (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)))) (* (/ (- 1.0 (cos x)) (* x x)) (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)))) (* (/ (- 1.0 (cos x)) (* x x)) (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)))) (* (/ (- 1.0 (cos x)) (* x x)) (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)))) (* (/ (- 1.0 (cos x)) (* x x)) (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)))) (* (/ (- 1.0 (cos x)) (* x x)) (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (/ (- 1.0 (cos x)) (* x x)) (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (* (sqrt (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x))))) (sqrt (- 1.0 (cos x)))) (* (* (sqrt (+ (* 1.0 (+ (cos x) 1.0)) (* (cos x) (cos x)))) x) x) (* (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (- 1.0 (cos x)))) (* (sqrt (+ (cos x) 1.0)) (* x x)) (- 1.0 (cos x)) (* x x) (- 1.0 (cos x)) (* x x) (* (/ (sqrt (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x))))) x) (sqrt (- 1.0 (cos x)))) (* (sqrt (+ (* 1.0 (+ (cos x) 1.0)) (* (cos x) (cos x)))) x) (* (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (/ (sqrt (- 1.0 (cos x))) x)) (* (sqrt (+ (cos x) 1.0)) x) (- 1.0 (cos x)) (* (/ 1 x) (/ 1 x)) (/ (- 1.0 (cos x)) x) (* (/ (sqrt (- 1.0 (cos x))) x) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (* (/ (sqrt (- 1.0 (cos x))) x) (sqrt (/ (sqrt (- 1.0 (cos x))) x))) (/ (* (/ (sqrt (- 1.0 (cos x))) x) (cbrt (sqrt (- 1.0 (cos x))))) (cbrt x)) (/ (* (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (- 1.0 (cos x)))) x) (/ (cbrt (sqrt (- 1.0 (cos x)))) (/ x (/ (sqrt (- 1.0 (cos x))) x))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x))) (/ (* (/ (sqrt (- 1.0 (cos x))) x) (sqrt (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (* (/ (sqrt (- 1.0 (cos x))) x) (sqrt (cbrt (- 1.0 (cos x))))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (/ (cbrt x) (/ (sqrt (- 1.0 (cos x))) x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt x) (/ (sqrt (- 1.0 (cos x))) x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (/ x (/ (sqrt (- 1.0 (cos x))) x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (* x x)) (/ (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (sqrt (- 1.0 (cos x)))) x) (/ (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x)) (sqrt x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (* x x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (/ (cbrt x) (/ (sqrt (- 1.0 (cos x))) x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt x) (/ (sqrt (- 1.0 (cos x))) x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (/ x (/ (sqrt (- 1.0 (cos x))) x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (* (/ (sqrt (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x))))) x) (sqrt (- 1.0 (cos x)))) (* (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (/ (sqrt (- 1.0 (cos x))) x)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x))))) x)) (* (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (- 1.0 (cos x)) x) (+ (+ (* 1/2 (* x x)) (* 1/720 (* (* x (* x x)) (* x (* x x))))) (* (* (* x x) (* x x)) -1/24)) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (+ (* 1/2 (* x x)) (* 1/720 (* (* x (* x x)) (* x (* x x))))) (* (* (* x x) (* x x)) -1/24)) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (/ (* (* (* x x) (* x x)) 1/1440) (sqrt 1/2)) (- (sqrt 1/2) (/ 1/48 (/ (sqrt 1/2) (* x x))))) (* (/ (* (* x x) (* x x)) (sqrt 1/2)) 1/2304)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (+ (* 1/720 (* (* x x) (* x x))) (+ 1/2 (* (* x x) -1/24))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) 47.472 * * * [progress]: adding candidates to table 49.791 * [progress]: [Phase 3 of 3] Extracting. 49.791 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 49.798 * * * [regime-changes]: Trying 1 branch expressions: (x) 49.799 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 50.185 * * * [regime]: Found split indices: #