20.695 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.127 * * * [progress]: [2/2] Setting up program. 0.139 * [progress]: [Phase 2 of 3] Improving. 0.139 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.140 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.140 * * [simplify]: iteration 0: 6 enodes 0.148 * * [simplify]: iteration 1: 13 enodes 0.162 * * [simplify]: iteration 2: 21 enodes 0.182 * * [simplify]: iteration 3: 26 enodes 0.203 * * [simplify]: iteration 4: 28 enodes 0.225 * * [simplify]: iteration complete: 28 enodes 0.225 * * [simplify]: Extracting #0: cost 1 inf + 0 0.225 * * [simplify]: Extracting #1: cost 8 inf + 0 0.225 * * [simplify]: Extracting #2: cost 12 inf + 42 0.225 * * [simplify]: Extracting #3: cost 6 inf + 588 0.225 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.226 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.228 * * [progress]: iteration 1 / 4 0.228 * * * [progress]: picking best candidate 0.242 * * * * [pick]: Picked # 0.242 * * * [progress]: localizing error 0.306 * * * [progress]: generating rewritten candidates 0.306 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.350 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.362 * * * [progress]: generating series expansions 0.362 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.372 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.372 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.373 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [backup-simplify]: Simplify 1.0 into 1.0 0.373 * [taylor]: Taking taylor expansion of (cos x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (- 1) into -1 0.375 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.376 * [backup-simplify]: Simplify (+ 0) into 0 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.377 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.377 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.378 * [backup-simplify]: Simplify (* 1 1) into 1 0.378 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.378 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.378 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [backup-simplify]: Simplify 1.0 into 1.0 0.378 * [taylor]: Taking taylor expansion of (cos x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (- 1) into -1 0.379 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.379 * [backup-simplify]: Simplify (+ 0) into 0 0.379 * [backup-simplify]: Simplify (- 0) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.381 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.381 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.381 * [backup-simplify]: Simplify (* 1 1) into 1 0.381 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.382 * [backup-simplify]: Simplify 1/2 into 1/2 0.383 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.383 * [backup-simplify]: Simplify (- 0) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.388 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.389 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.391 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.391 * [backup-simplify]: Simplify -1/24 into -1/24 0.714 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.715 * [backup-simplify]: Simplify (- 0) into 0 0.716 * [backup-simplify]: Simplify (+ 0 0) into 0 0.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.726 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.727 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.730 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.730 * [backup-simplify]: Simplify 1/720 into 1/720 0.733 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 0.733 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 0.733 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 0.733 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 0.733 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.733 * [taylor]: Taking taylor expansion of 1.0 in x 0.733 * [backup-simplify]: Simplify 1.0 into 1.0 0.734 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.734 * [backup-simplify]: Simplify (/ 1 1) into 1 0.735 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 0.735 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [backup-simplify]: Simplify 1.0 into 1.0 0.735 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [backup-simplify]: Simplify (/ 1 1) into 1 0.736 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.736 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.736 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.737 * [backup-simplify]: Simplify (* 1 1) into 1 0.737 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 0.737 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.738 * [backup-simplify]: Simplify (- 0) into 0 0.738 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.740 * [backup-simplify]: Simplify (- 0) into 0 0.740 * [backup-simplify]: Simplify (+ 0 0) into 0 0.740 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.740 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (- 0) into 0 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.743 * [backup-simplify]: Simplify (- 0) into 0 0.744 * [backup-simplify]: Simplify (+ 0 0) into 0 0.745 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.746 * [backup-simplify]: Simplify (- 0) into 0 0.746 * [backup-simplify]: Simplify (+ 0 0) into 0 0.747 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.747 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.748 * [backup-simplify]: Simplify (- 0) into 0 0.749 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.751 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 0.751 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.751 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.751 * [taylor]: Taking taylor expansion of 1.0 in x 0.751 * [backup-simplify]: Simplify 1.0 into 1.0 0.751 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.751 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.751 * [taylor]: Taking taylor expansion of -1 in x 0.751 * [backup-simplify]: Simplify -1 into -1 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.752 * [backup-simplify]: Simplify (/ -1 1) into -1 0.752 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.752 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 1 into 1 0.752 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.752 * [taylor]: Taking taylor expansion of 1.0 in x 0.752 * [backup-simplify]: Simplify 1.0 into 1.0 0.752 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.752 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.752 * [taylor]: Taking taylor expansion of -1 in x 0.752 * [backup-simplify]: Simplify -1 into -1 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (/ -1 1) into -1 0.753 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.753 * [backup-simplify]: Simplify (* 1 1) into 1 0.753 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.753 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.754 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.754 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.754 * [backup-simplify]: Simplify (- 0) into 0 0.754 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (- 0) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 0.757 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify (- 0) into 0 0.758 * [backup-simplify]: Simplify (+ 0 0) into 0 0.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify (- 0) into 0 0.760 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 0.762 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify (- 0) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (- 0) into 0 0.766 * [backup-simplify]: Simplify (+ 0 0) into 0 0.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 0.769 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.770 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.770 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.770 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.770 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.770 * [taylor]: Taking taylor expansion of 1.0 in x 0.770 * [backup-simplify]: Simplify 1.0 into 1.0 0.770 * [taylor]: Taking taylor expansion of (cos x) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.770 * [taylor]: Taking taylor expansion of 1.0 in x 0.770 * [backup-simplify]: Simplify 1.0 into 1.0 0.770 * [taylor]: Taking taylor expansion of (cos x) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify (- 1) into -1 0.771 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify (+ 0) into 0 0.771 * [backup-simplify]: Simplify (- 0) into 0 0.772 * [backup-simplify]: Simplify (+ 0 0) into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.773 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.773 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.773 * [backup-simplify]: Simplify 1/2 into 1/2 0.775 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.775 * [backup-simplify]: Simplify (- 0) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.779 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.780 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.780 * [backup-simplify]: Simplify -1/24 into -1/24 0.782 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.783 * [backup-simplify]: Simplify (- 0) into 0 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.789 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.789 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.789 * [backup-simplify]: Simplify 1/720 into 1/720 0.790 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 0.790 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.790 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.790 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.790 * [taylor]: Taking taylor expansion of 1.0 in x 0.790 * [backup-simplify]: Simplify 1.0 into 1.0 0.790 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (/ 1 1) into 1 0.791 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.791 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.791 * [taylor]: Taking taylor expansion of 1.0 in x 0.791 * [backup-simplify]: Simplify 1.0 into 1.0 0.791 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (/ 1 1) into 1 0.792 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.792 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.792 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.792 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.792 * [backup-simplify]: Simplify (- 0) into 0 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify (- 0) into 0 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify (- 0) into 0 0.794 * [backup-simplify]: Simplify (+ 0 0) into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify (- 0) into 0 0.794 * [backup-simplify]: Simplify (+ 0 0) into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (- 0) into 0 0.795 * [backup-simplify]: Simplify (+ 0 0) into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (- 0) into 0 0.795 * [backup-simplify]: Simplify (+ 0 0) into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.796 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.796 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.796 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.796 * [taylor]: Taking taylor expansion of 1.0 in x 0.796 * [backup-simplify]: Simplify 1.0 into 1.0 0.796 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.796 * [taylor]: Taking taylor expansion of -1 in x 0.796 * [backup-simplify]: Simplify -1 into -1 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (/ -1 1) into -1 0.797 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.797 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.797 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * [backup-simplify]: Simplify 1.0 into 1.0 0.797 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.797 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.797 * [taylor]: Taking taylor expansion of -1 in x 0.797 * [backup-simplify]: Simplify -1 into -1 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (/ -1 1) into -1 0.797 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.797 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.798 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.798 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.798 * [backup-simplify]: Simplify (- 0) into 0 0.798 * [backup-simplify]: Simplify (+ 0 0) into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify (- 0) into 0 0.799 * [backup-simplify]: Simplify (+ 0 0) into 0 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify (- 0) into 0 0.799 * [backup-simplify]: Simplify (+ 0 0) into 0 0.799 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify (- 0) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify (- 0) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (- 0) into 0 0.801 * [backup-simplify]: Simplify (+ 0 0) into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.801 * * * [progress]: simplifying candidates 0.801 * * * * [progress]: [ 1 / 50 ] simplifiying candidate #real (real->posit16 (/ (- 1.0 (cos x)) (* x x)))))> 0.801 * * * * [progress]: [ 2 / 50 ] simplifiying candidate # 0.801 * * * * [progress]: [ 3 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 4 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 5 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 6 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 7 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 8 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 9 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 10 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 11 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 12 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 13 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 14 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 15 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 16 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 17 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 18 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 19 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 20 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 21 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 22 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 23 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 24 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 25 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 26 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 27 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 28 / 50 ] simplifiying candidate # 0.802 * * * * [progress]: [ 29 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 30 / 50 ] simplifiying candidate #real (real->posit16 (- 1.0 (cos x)))) (* x x)))> 0.803 * * * * [progress]: [ 31 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 32 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 33 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 34 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 35 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 36 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 37 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 38 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 39 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 40 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 41 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 42 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 43 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 44 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 45 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 46 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 47 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 48 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 49 / 50 ] simplifiying candidate # 0.803 * * * * [progress]: [ 50 / 50 ] simplifiying candidate # 0.804 * [simplify]: Simplifying: (real->posit16 (/ (- 1.0 (cos x)) (* x x))) (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (real->posit16 (- 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.805 * * [simplify]: iteration 0: 90 enodes 0.908 * * [simplify]: iteration 1: 219 enodes 1.107 * * [simplify]: iteration 2: 625 enodes 2.031 * * [simplify]: iteration 3: 2322 enodes 3.858 * * [simplify]: iteration complete: 5000 enodes 3.859 * * [simplify]: Extracting #0: cost 43 inf + 0 3.861 * * [simplify]: Extracting #1: cost 763 inf + 0 3.871 * * [simplify]: Extracting #2: cost 1633 inf + 2180 3.889 * * [simplify]: Extracting #3: cost 1263 inf + 66934 3.932 * * [simplify]: Extracting #4: cost 310 inf + 302446 4.052 * * [simplify]: Extracting #5: cost 31 inf + 389613 4.146 * * [simplify]: Extracting #6: cost 18 inf + 392588 4.244 * * [simplify]: Extracting #7: cost 3 inf + 395236 4.355 * * [simplify]: Extracting #8: cost 0 inf + 395995 4.452 * [simplify]: Simplified to: (real->posit16 (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (+ (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 (cos x)) (sqrt 1.0)) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (/ 1 x) x) (/ x (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (* (/ x (sqrt (- 1.0 (cos x)))) x) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) x)) (* (* x x) (+ (* (+ 1.0 (cos x)) (cos x)) (* 1.0 1.0))) (* (* x x) (+ (cos x) 1.0)) (real->posit16 (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x)))) (+ (* (+ 1.0 (cos x)) (cos x)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (+ (* (* x x) (- (* (* x x) 1/720) 1/24)) 1/2) (/ (- 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)) 4.454 * * * [progress]: adding candidates to table 4.921 * * [progress]: iteration 2 / 4 4.921 * * * [progress]: picking best candidate 5.002 * * * * [pick]: Picked # 5.002 * * * [progress]: localizing error 5.030 * * * [progress]: generating rewritten candidates 5.031 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2 1) 5.065 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 5.283 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 5.339 * * * [progress]: generating series expansions 5.339 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2 1) 5.340 * [backup-simplify]: Simplify (* (* x x) 1/720) into (* 1/720 (pow x 2)) 5.340 * [approximate]: Taking taylor expansion of (* 1/720 (pow x 2)) in (x) around 0 5.340 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 2)) in x 5.340 * [taylor]: Taking taylor expansion of 1/720 in x 5.340 * [backup-simplify]: Simplify 1/720 into 1/720 5.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.340 * [taylor]: Taking taylor expansion of x in x 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify 1 into 1 5.340 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 2)) in x 5.340 * [taylor]: Taking taylor expansion of 1/720 in x 5.340 * [backup-simplify]: Simplify 1/720 into 1/720 5.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.340 * [taylor]: Taking taylor expansion of x in x 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify 1 into 1 5.341 * [backup-simplify]: Simplify (* 1 1) into 1 5.341 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 5.341 * [backup-simplify]: Simplify 1/720 into 1/720 5.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.342 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.343 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 5.343 * [backup-simplify]: Simplify 0 into 0 5.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.345 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.345 * [backup-simplify]: Simplify 0 into 0 5.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.346 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.346 * [backup-simplify]: Simplify 0 into 0 5.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.348 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.348 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.350 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.350 * [backup-simplify]: Simplify 0 into 0 5.350 * [backup-simplify]: Simplify (* 1/720 (pow x 2)) into (* 1/720 (pow x 2)) 5.351 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) 1/720) into (/ 1/720 (pow x 2)) 5.351 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 2)) in (x) around 0 5.351 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 2)) in x 5.351 * [taylor]: Taking taylor expansion of 1/720 in x 5.351 * [backup-simplify]: Simplify 1/720 into 1/720 5.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.351 * [taylor]: Taking taylor expansion of x in x 5.351 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify 1 into 1 5.351 * [backup-simplify]: Simplify (* 1 1) into 1 5.351 * [backup-simplify]: Simplify (/ 1/720 1) into 1/720 5.351 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 2)) in x 5.351 * [taylor]: Taking taylor expansion of 1/720 in x 5.351 * [backup-simplify]: Simplify 1/720 into 1/720 5.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.351 * [taylor]: Taking taylor expansion of x in x 5.351 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify 1 into 1 5.352 * [backup-simplify]: Simplify (* 1 1) into 1 5.352 * [backup-simplify]: Simplify (/ 1/720 1) into 1/720 5.352 * [backup-simplify]: Simplify 1/720 into 1/720 5.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)))) into 0 5.353 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.354 * [backup-simplify]: Simplify 0 into 0 5.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.356 * [backup-simplify]: Simplify 0 into 0 5.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.358 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.366 * [backup-simplify]: Simplify 0 into 0 5.367 * [backup-simplify]: Simplify (* 1/720 (pow (/ 1 (/ 1 x)) 2)) into (* 1/720 (pow x 2)) 5.367 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) 1/720) into (/ 1/720 (pow x 2)) 5.367 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 2)) in (x) around 0 5.368 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 2)) in x 5.368 * [taylor]: Taking taylor expansion of 1/720 in x 5.368 * [backup-simplify]: Simplify 1/720 into 1/720 5.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.368 * [taylor]: Taking taylor expansion of x in x 5.368 * [backup-simplify]: Simplify 0 into 0 5.368 * [backup-simplify]: Simplify 1 into 1 5.368 * [backup-simplify]: Simplify (* 1 1) into 1 5.369 * [backup-simplify]: Simplify (/ 1/720 1) into 1/720 5.369 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 2)) in x 5.369 * [taylor]: Taking taylor expansion of 1/720 in x 5.369 * [backup-simplify]: Simplify 1/720 into 1/720 5.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.369 * [taylor]: Taking taylor expansion of x in x 5.369 * [backup-simplify]: Simplify 0 into 0 5.369 * [backup-simplify]: Simplify 1 into 1 5.369 * [backup-simplify]: Simplify (* 1 1) into 1 5.370 * [backup-simplify]: Simplify (/ 1/720 1) into 1/720 5.370 * [backup-simplify]: Simplify 1/720 into 1/720 5.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)))) into 0 5.372 * [backup-simplify]: Simplify 0 into 0 5.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.374 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.376 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.379 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.383 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.386 * [backup-simplify]: Simplify 0 into 0 5.387 * [backup-simplify]: Simplify (* 1/720 (pow (/ 1 (/ 1 (- x))) 2)) into (* 1/720 (pow x 2)) 5.387 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 5.387 * [backup-simplify]: Simplify (* (* x x) (- (* (* x x) 1/720) 1/24)) into (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) 5.387 * [approximate]: Taking taylor expansion of (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) in (x) around 0 5.387 * [taylor]: Taking taylor expansion of (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) in x 5.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.388 * [taylor]: Taking taylor expansion of x in x 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify 1 into 1 5.388 * [taylor]: Taking taylor expansion of (- (* 1/720 (pow x 2)) 1/24) in x 5.388 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 2)) in x 5.388 * [taylor]: Taking taylor expansion of 1/720 in x 5.388 * [backup-simplify]: Simplify 1/720 into 1/720 5.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.388 * [taylor]: Taking taylor expansion of x in x 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify 1 into 1 5.388 * [taylor]: Taking taylor expansion of 1/24 in x 5.388 * [backup-simplify]: Simplify 1/24 into 1/24 5.388 * [taylor]: Taking taylor expansion of (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) in x 5.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.388 * [taylor]: Taking taylor expansion of x in x 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify 1 into 1 5.388 * [taylor]: Taking taylor expansion of (- (* 1/720 (pow x 2)) 1/24) in x 5.388 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 2)) in x 5.388 * [taylor]: Taking taylor expansion of 1/720 in x 5.388 * [backup-simplify]: Simplify 1/720 into 1/720 5.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.388 * [taylor]: Taking taylor expansion of x in x 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify 1 into 1 5.388 * [taylor]: Taking taylor expansion of 1/24 in x 5.388 * [backup-simplify]: Simplify 1/24 into 1/24 5.389 * [backup-simplify]: Simplify (* 1 1) into 1 5.390 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.390 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.390 * [backup-simplify]: Simplify (* 1 -1/24) into -1/24 5.390 * [backup-simplify]: Simplify -1/24 into -1/24 5.391 * [backup-simplify]: Simplify (- 0) into 0 5.391 * [backup-simplify]: Simplify (+ 0 0) into 0 5.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/24)) into 0 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify (* 1 1) into 1 5.394 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 5.394 * [backup-simplify]: Simplify (- 0) into 0 5.395 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 5.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.397 * [backup-simplify]: Simplify (+ (* 1 1/720) (+ (* 0 0) (* 0 -1/24))) into 1/720 5.397 * [backup-simplify]: Simplify 1/720 into 1/720 5.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.398 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 5.399 * [backup-simplify]: Simplify (- 0) into 0 5.399 * [backup-simplify]: Simplify (+ 0 0) into 0 5.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/720) (+ (* 0 0) (* 0 -1/24)))) into 0 5.402 * [backup-simplify]: Simplify 0 into 0 5.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.404 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 5.405 * [backup-simplify]: Simplify (- 0) into 0 5.405 * [backup-simplify]: Simplify (+ 0 0) into 0 5.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1/720) (+ (* 0 0) (* 0 -1/24))))) into 0 5.408 * [backup-simplify]: Simplify 0 into 0 5.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.411 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.411 * [backup-simplify]: Simplify (- 0) into 0 5.412 * [backup-simplify]: Simplify (+ 0 0) into 0 5.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/720) (+ (* 0 0) (* 0 -1/24)))))) into 0 5.415 * [backup-simplify]: Simplify 0 into 0 5.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.418 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.419 * [backup-simplify]: Simplify (- 0) into 0 5.419 * [backup-simplify]: Simplify (+ 0 0) into 0 5.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/720) (+ (* 0 0) (* 0 -1/24))))))) into 0 5.423 * [backup-simplify]: Simplify 0 into 0 5.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.427 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.427 * [backup-simplify]: Simplify (- 0) into 0 5.427 * [backup-simplify]: Simplify (+ 0 0) into 0 5.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/720) (+ (* 0 0) (* 0 -1/24)))))))) into 0 5.432 * [backup-simplify]: Simplify 0 into 0 5.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.436 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.437 * [backup-simplify]: Simplify (- 0) into 0 5.437 * [backup-simplify]: Simplify (+ 0 0) into 0 5.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 5.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/720) (+ (* 0 0) (* 0 -1/24))))))))) into 0 5.442 * [backup-simplify]: Simplify 0 into 0 5.443 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (* -1/24 (pow x 2))) into (- (* 1/720 (pow x 4)) (* 1/24 (pow x 2))) 5.444 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (- (* (* (/ 1 x) (/ 1 x)) 1/720) 1/24)) into (/ (- (* 1/720 (/ 1 (pow x 2))) 1/24) (pow x 2)) 5.444 * [approximate]: Taking taylor expansion of (/ (- (* 1/720 (/ 1 (pow x 2))) 1/24) (pow x 2)) in (x) around 0 5.444 * [taylor]: Taking taylor expansion of (/ (- (* 1/720 (/ 1 (pow x 2))) 1/24) (pow x 2)) in x 5.444 * [taylor]: Taking taylor expansion of (- (* 1/720 (/ 1 (pow x 2))) 1/24) in x 5.444 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 2))) in x 5.445 * [taylor]: Taking taylor expansion of 1/720 in x 5.445 * [backup-simplify]: Simplify 1/720 into 1/720 5.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.445 * [taylor]: Taking taylor expansion of x in x 5.445 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify 1 into 1 5.445 * [backup-simplify]: Simplify (* 1 1) into 1 5.446 * [backup-simplify]: Simplify (/ 1 1) into 1 5.446 * [taylor]: Taking taylor expansion of 1/24 in x 5.446 * [backup-simplify]: Simplify 1/24 into 1/24 5.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.446 * [taylor]: Taking taylor expansion of x in x 5.446 * [backup-simplify]: Simplify 0 into 0 5.446 * [backup-simplify]: Simplify 1 into 1 5.446 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 5.447 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 5.447 * [backup-simplify]: Simplify (* 1 1) into 1 5.448 * [backup-simplify]: Simplify (/ 1/720 1) into 1/720 5.448 * [taylor]: Taking taylor expansion of (/ (- (* 1/720 (/ 1 (pow x 2))) 1/24) (pow x 2)) in x 5.448 * [taylor]: Taking taylor expansion of (- (* 1/720 (/ 1 (pow x 2))) 1/24) in x 5.448 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 2))) in x 5.448 * [taylor]: Taking taylor expansion of 1/720 in x 5.448 * [backup-simplify]: Simplify 1/720 into 1/720 5.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.448 * [taylor]: Taking taylor expansion of x in x 5.448 * [backup-simplify]: Simplify 0 into 0 5.448 * [backup-simplify]: Simplify 1 into 1 5.448 * [backup-simplify]: Simplify (* 1 1) into 1 5.449 * [backup-simplify]: Simplify (/ 1 1) into 1 5.449 * [taylor]: Taking taylor expansion of 1/24 in x 5.449 * [backup-simplify]: Simplify 1/24 into 1/24 5.449 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.449 * [taylor]: Taking taylor expansion of x in x 5.449 * [backup-simplify]: Simplify 0 into 0 5.449 * [backup-simplify]: Simplify 1 into 1 5.449 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 5.449 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 5.449 * [backup-simplify]: Simplify (* 1 1) into 1 5.450 * [backup-simplify]: Simplify (/ 1/720 1) into 1/720 5.450 * [backup-simplify]: Simplify 1/720 into 1/720 5.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.451 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 5.452 * [backup-simplify]: Simplify (+ 0 0) into 0 5.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)))) into 0 5.453 * [backup-simplify]: Simplify 0 into 0 5.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.455 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 5.455 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.455 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.456 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 5.456 * [backup-simplify]: Simplify -1/24 into -1/24 5.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.458 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.459 * [backup-simplify]: Simplify (- 0) into 0 5.459 * [backup-simplify]: Simplify (+ 0 0) into 0 5.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 5.461 * [backup-simplify]: Simplify 0 into 0 5.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.463 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.463 * [backup-simplify]: Simplify (- 0) into 0 5.463 * [backup-simplify]: Simplify (+ 0 0) into 0 5.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.465 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.467 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.468 * [backup-simplify]: Simplify (- 0) into 0 5.468 * [backup-simplify]: Simplify (+ 0 0) into 0 5.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.470 * [backup-simplify]: Simplify 0 into 0 5.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.472 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.473 * [backup-simplify]: Simplify (- 0) into 0 5.473 * [backup-simplify]: Simplify (+ 0 0) into 0 5.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.475 * [backup-simplify]: Simplify 0 into 0 5.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.480 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.480 * [backup-simplify]: Simplify (- 0) into 0 5.481 * [backup-simplify]: Simplify (+ 0 0) into 0 5.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.485 * [backup-simplify]: Simplify 0 into 0 5.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 5.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.491 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 5.491 * [backup-simplify]: Simplify (- 0) into 0 5.492 * [backup-simplify]: Simplify (+ 0 0) into 0 5.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 5.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.496 * [backup-simplify]: Simplify 0 into 0 5.498 * [backup-simplify]: Simplify (+ (* -1/24 (pow (/ 1 (/ 1 x)) 2)) (* 1/720 (pow (/ 1 (/ 1 x)) 4))) into (- (* 1/720 (pow x 4)) (* 1/24 (pow x 2))) 5.499 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (- (* (* (/ 1 (- x)) (/ 1 (- x))) 1/720) 1/24)) into (/ (- (* 1/720 (/ 1 (pow x 2))) 1/24) (pow x 2)) 5.499 * [approximate]: Taking taylor expansion of (/ (- (* 1/720 (/ 1 (pow x 2))) 1/24) (pow x 2)) in (x) around 0 5.499 * [taylor]: Taking taylor expansion of (/ (- (* 1/720 (/ 1 (pow x 2))) 1/24) (pow x 2)) in x 5.499 * [taylor]: Taking taylor expansion of (- (* 1/720 (/ 1 (pow x 2))) 1/24) in x 5.499 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 2))) in x 5.499 * [taylor]: Taking taylor expansion of 1/720 in x 5.499 * [backup-simplify]: Simplify 1/720 into 1/720 5.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.499 * [taylor]: Taking taylor expansion of x in x 5.499 * [backup-simplify]: Simplify 0 into 0 5.499 * [backup-simplify]: Simplify 1 into 1 5.502 * [backup-simplify]: Simplify (* 1 1) into 1 5.503 * [backup-simplify]: Simplify (/ 1 1) into 1 5.503 * [taylor]: Taking taylor expansion of 1/24 in x 5.503 * [backup-simplify]: Simplify 1/24 into 1/24 5.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.503 * [taylor]: Taking taylor expansion of x in x 5.503 * [backup-simplify]: Simplify 0 into 0 5.503 * [backup-simplify]: Simplify 1 into 1 5.503 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 5.504 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 5.504 * [backup-simplify]: Simplify (* 1 1) into 1 5.505 * [backup-simplify]: Simplify (/ 1/720 1) into 1/720 5.505 * [taylor]: Taking taylor expansion of (/ (- (* 1/720 (/ 1 (pow x 2))) 1/24) (pow x 2)) in x 5.505 * [taylor]: Taking taylor expansion of (- (* 1/720 (/ 1 (pow x 2))) 1/24) in x 5.505 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 2))) in x 5.505 * [taylor]: Taking taylor expansion of 1/720 in x 5.505 * [backup-simplify]: Simplify 1/720 into 1/720 5.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.505 * [taylor]: Taking taylor expansion of x in x 5.505 * [backup-simplify]: Simplify 0 into 0 5.505 * [backup-simplify]: Simplify 1 into 1 5.505 * [backup-simplify]: Simplify (* 1 1) into 1 5.506 * [backup-simplify]: Simplify (/ 1 1) into 1 5.506 * [taylor]: Taking taylor expansion of 1/24 in x 5.506 * [backup-simplify]: Simplify 1/24 into 1/24 5.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.506 * [taylor]: Taking taylor expansion of x in x 5.506 * [backup-simplify]: Simplify 0 into 0 5.506 * [backup-simplify]: Simplify 1 into 1 5.507 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 5.507 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 5.507 * [backup-simplify]: Simplify (* 1 1) into 1 5.508 * [backup-simplify]: Simplify (/ 1/720 1) into 1/720 5.508 * [backup-simplify]: Simplify 1/720 into 1/720 5.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.510 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 5.511 * [backup-simplify]: Simplify (+ 0 0) into 0 5.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)))) into 0 5.512 * [backup-simplify]: Simplify 0 into 0 5.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.515 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 5.516 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.516 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.519 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 5.519 * [backup-simplify]: Simplify -1/24 into -1/24 5.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.522 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.523 * [backup-simplify]: Simplify (- 0) into 0 5.523 * [backup-simplify]: Simplify (+ 0 0) into 0 5.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 5.526 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.531 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.531 * [backup-simplify]: Simplify (- 0) into 0 5.532 * [backup-simplify]: Simplify (+ 0 0) into 0 5.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.535 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.542 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.542 * [backup-simplify]: Simplify (- 0) into 0 5.543 * [backup-simplify]: Simplify (+ 0 0) into 0 5.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.546 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.551 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.551 * [backup-simplify]: Simplify (- 0) into 0 5.552 * [backup-simplify]: Simplify (+ 0 0) into 0 5.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.555 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.560 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.561 * [backup-simplify]: Simplify (- 0) into 0 5.561 * [backup-simplify]: Simplify (+ 0 0) into 0 5.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.565 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 5.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.569 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 5.570 * [backup-simplify]: Simplify (- 0) into 0 5.570 * [backup-simplify]: Simplify (+ 0 0) into 0 5.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 5.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.572 * [backup-simplify]: Simplify 0 into 0 5.573 * [backup-simplify]: Simplify (+ (* -1/24 (pow (/ 1 (/ 1 (- x))) 2)) (* 1/720 (pow (/ 1 (/ 1 (- x))) 4))) into (- (* 1/720 (pow x 4)) (* 1/24 (pow x 2))) 5.573 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 5.573 * [backup-simplify]: Simplify (- (* (* x x) 1/720) 1/24) into (- (* 1/720 (pow x 2)) 1/24) 5.573 * [approximate]: Taking taylor expansion of (- (* 1/720 (pow x 2)) 1/24) in (x) around 0 5.573 * [taylor]: Taking taylor expansion of (- (* 1/720 (pow x 2)) 1/24) in x 5.573 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 2)) in x 5.573 * [taylor]: Taking taylor expansion of 1/720 in x 5.573 * [backup-simplify]: Simplify 1/720 into 1/720 5.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.574 * [taylor]: Taking taylor expansion of x in x 5.574 * [backup-simplify]: Simplify 0 into 0 5.574 * [backup-simplify]: Simplify 1 into 1 5.574 * [taylor]: Taking taylor expansion of 1/24 in x 5.574 * [backup-simplify]: Simplify 1/24 into 1/24 5.574 * [taylor]: Taking taylor expansion of (- (* 1/720 (pow x 2)) 1/24) in x 5.574 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 2)) in x 5.574 * [taylor]: Taking taylor expansion of 1/720 in x 5.574 * [backup-simplify]: Simplify 1/720 into 1/720 5.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.574 * [taylor]: Taking taylor expansion of x in x 5.574 * [backup-simplify]: Simplify 0 into 0 5.574 * [backup-simplify]: Simplify 1 into 1 5.574 * [taylor]: Taking taylor expansion of 1/24 in x 5.574 * [backup-simplify]: Simplify 1/24 into 1/24 5.574 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.574 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.574 * [backup-simplify]: Simplify -1/24 into -1/24 5.575 * [backup-simplify]: Simplify (- 0) into 0 5.575 * [backup-simplify]: Simplify (+ 0 0) into 0 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify (* 1 1) into 1 5.576 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 5.576 * [backup-simplify]: Simplify (- 0) into 0 5.576 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 5.576 * [backup-simplify]: Simplify 1/720 into 1/720 5.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.577 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 5.577 * [backup-simplify]: Simplify (- 0) into 0 5.578 * [backup-simplify]: Simplify (+ 0 0) into 0 5.578 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.579 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 5.579 * [backup-simplify]: Simplify (- 0) into 0 5.579 * [backup-simplify]: Simplify (+ 0 0) into 0 5.579 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.581 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.581 * [backup-simplify]: Simplify (- 0) into 0 5.581 * [backup-simplify]: Simplify (+ 0 0) into 0 5.581 * [backup-simplify]: Simplify 0 into 0 5.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.583 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.583 * [backup-simplify]: Simplify (- 0) into 0 5.583 * [backup-simplify]: Simplify (+ 0 0) into 0 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.585 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.586 * [backup-simplify]: Simplify (- 0) into 0 5.586 * [backup-simplify]: Simplify (+ 0 0) into 0 5.586 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.588 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.588 * [backup-simplify]: Simplify (- 0) into 0 5.589 * [backup-simplify]: Simplify (+ 0 0) into 0 5.589 * [backup-simplify]: Simplify 0 into 0 5.589 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 2)) -1/24) into (- (* 1/720 (pow x 2)) 1/24) 5.589 * [backup-simplify]: Simplify (- (* (* (/ 1 x) (/ 1 x)) 1/720) 1/24) into (- (* 1/720 (/ 1 (pow x 2))) 1/24) 5.589 * [approximate]: Taking taylor expansion of (- (* 1/720 (/ 1 (pow x 2))) 1/24) in (x) around 0 5.589 * [taylor]: Taking taylor expansion of (- (* 1/720 (/ 1 (pow x 2))) 1/24) in x 5.589 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 2))) in x 5.589 * [taylor]: Taking taylor expansion of 1/720 in x 5.589 * [backup-simplify]: Simplify 1/720 into 1/720 5.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.589 * [taylor]: Taking taylor expansion of x in x 5.589 * [backup-simplify]: Simplify 0 into 0 5.589 * [backup-simplify]: Simplify 1 into 1 5.590 * [backup-simplify]: Simplify (* 1 1) into 1 5.590 * [backup-simplify]: Simplify (/ 1 1) into 1 5.590 * [taylor]: Taking taylor expansion of 1/24 in x 5.590 * [backup-simplify]: Simplify 1/24 into 1/24 5.590 * [taylor]: Taking taylor expansion of (- (* 1/720 (/ 1 (pow x 2))) 1/24) in x 5.590 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 2))) in x 5.590 * [taylor]: Taking taylor expansion of 1/720 in x 5.590 * [backup-simplify]: Simplify 1/720 into 1/720 5.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.590 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.590 * [taylor]: Taking taylor expansion of x in x 5.590 * [backup-simplify]: Simplify 0 into 0 5.590 * [backup-simplify]: Simplify 1 into 1 5.590 * [backup-simplify]: Simplify (* 1 1) into 1 5.591 * [backup-simplify]: Simplify (/ 1 1) into 1 5.591 * [taylor]: Taking taylor expansion of 1/24 in x 5.591 * [backup-simplify]: Simplify 1/24 into 1/24 5.591 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 5.591 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 5.591 * [backup-simplify]: Simplify 1/720 into 1/720 5.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.593 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 5.593 * [backup-simplify]: Simplify (+ 0 0) into 0 5.593 * [backup-simplify]: Simplify 0 into 0 5.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.595 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 5.595 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.596 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.596 * [backup-simplify]: Simplify -1/24 into -1/24 5.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.599 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.600 * [backup-simplify]: Simplify (- 0) into 0 5.600 * [backup-simplify]: Simplify (+ 0 0) into 0 5.600 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.604 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.605 * [backup-simplify]: Simplify (- 0) into 0 5.605 * [backup-simplify]: Simplify (+ 0 0) into 0 5.605 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.609 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.610 * [backup-simplify]: Simplify (- 0) into 0 5.610 * [backup-simplify]: Simplify (+ 0 0) into 0 5.610 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.615 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.615 * [backup-simplify]: Simplify (- 0) into 0 5.616 * [backup-simplify]: Simplify (+ 0 0) into 0 5.616 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.621 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.622 * [backup-simplify]: Simplify (- 0) into 0 5.622 * [backup-simplify]: Simplify (+ 0 0) into 0 5.622 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 5.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.628 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 5.629 * [backup-simplify]: Simplify (- 0) into 0 5.629 * [backup-simplify]: Simplify (+ 0 0) into 0 5.629 * [backup-simplify]: Simplify 0 into 0 5.630 * [backup-simplify]: Simplify (+ -1/24 (* 1/720 (pow (/ 1 (/ 1 x)) 2))) into (- (* 1/720 (pow x 2)) 1/24) 5.631 * [backup-simplify]: Simplify (- (* (* (/ 1 (- x)) (/ 1 (- x))) 1/720) 1/24) into (- (* 1/720 (/ 1 (pow x 2))) 1/24) 5.631 * [approximate]: Taking taylor expansion of (- (* 1/720 (/ 1 (pow x 2))) 1/24) in (x) around 0 5.631 * [taylor]: Taking taylor expansion of (- (* 1/720 (/ 1 (pow x 2))) 1/24) in x 5.631 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 2))) in x 5.631 * [taylor]: Taking taylor expansion of 1/720 in x 5.631 * [backup-simplify]: Simplify 1/720 into 1/720 5.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.631 * [taylor]: Taking taylor expansion of x in x 5.631 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify 1 into 1 5.632 * [backup-simplify]: Simplify (* 1 1) into 1 5.632 * [backup-simplify]: Simplify (/ 1 1) into 1 5.632 * [taylor]: Taking taylor expansion of 1/24 in x 5.632 * [backup-simplify]: Simplify 1/24 into 1/24 5.632 * [taylor]: Taking taylor expansion of (- (* 1/720 (/ 1 (pow x 2))) 1/24) in x 5.632 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 2))) in x 5.632 * [taylor]: Taking taylor expansion of 1/720 in x 5.632 * [backup-simplify]: Simplify 1/720 into 1/720 5.632 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.633 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.633 * [taylor]: Taking taylor expansion of x in x 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify 1 into 1 5.633 * [backup-simplify]: Simplify (* 1 1) into 1 5.633 * [backup-simplify]: Simplify (/ 1 1) into 1 5.633 * [taylor]: Taking taylor expansion of 1/24 in x 5.633 * [backup-simplify]: Simplify 1/24 into 1/24 5.634 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 5.634 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 5.634 * [backup-simplify]: Simplify 1/720 into 1/720 5.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.637 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 5.637 * [backup-simplify]: Simplify (+ 0 0) into 0 5.637 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.642 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 5.643 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.643 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.643 * [backup-simplify]: Simplify -1/24 into -1/24 5.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.647 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.647 * [backup-simplify]: Simplify (- 0) into 0 5.648 * [backup-simplify]: Simplify (+ 0 0) into 0 5.648 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.652 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.652 * [backup-simplify]: Simplify (- 0) into 0 5.653 * [backup-simplify]: Simplify (+ 0 0) into 0 5.653 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.658 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.658 * [backup-simplify]: Simplify (- 0) into 0 5.658 * [backup-simplify]: Simplify (+ 0 0) into 0 5.659 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.663 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.664 * [backup-simplify]: Simplify (- 0) into 0 5.664 * [backup-simplify]: Simplify (+ 0 0) into 0 5.664 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.670 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.670 * [backup-simplify]: Simplify (- 0) into 0 5.671 * [backup-simplify]: Simplify (+ 0 0) into 0 5.671 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 5.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.678 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 5.678 * [backup-simplify]: Simplify (- 0) into 0 5.678 * [backup-simplify]: Simplify (+ 0 0) into 0 5.679 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify (+ -1/24 (* 1/720 (pow (/ 1 (/ 1 (- x))) 2))) into (- (* 1/720 (pow x 2)) 1/24) 5.680 * * * [progress]: simplifying candidates 5.680 * * * * [progress]: [ 1 / 68 ] simplifiying candidate #real (real->posit16 (* (* x x) 1/720))) 1/24)) 1/2))> 5.680 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 5.680 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 5.680 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 5.680 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 5.680 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 5.680 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 5.680 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 5.680 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 5.680 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 5.680 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 5.680 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 5.681 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 5.681 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 5.681 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 5.681 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 5.681 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 5.681 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 5.681 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 5.681 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 5.681 * * * * [progress]: [ 21 / 68 ] simplifiying candidate #real (real->posit16 (* (* x x) (- (* (* x x) 1/720) 1/24)))) 1/2))> 5.681 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 5.681 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 5.681 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 5.681 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 5.681 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 5.681 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 5.682 * * * * [progress]: [ 28 / 68 ] simplifiying candidate # 5.682 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 5.682 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 5.682 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 5.682 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 5.682 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 5.682 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 5.682 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 5.682 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 5.682 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 5.682 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 5.682 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 5.682 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 5.682 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 5.683 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 5.683 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 5.683 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 5.683 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 5.683 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 5.683 * * * * [progress]: [ 47 / 68 ] simplifiying candidate #real (real->posit16 (- (* (* x x) 1/720) 1/24)))) 1/2))> 5.683 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 5.683 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 5.683 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 5.683 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 5.683 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 5.683 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 5.683 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 5.683 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 5.683 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 5.684 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 5.684 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 5.684 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 5.684 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 5.684 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 5.684 * * * * [progress]: [ 62 / 68 ] simplifiying candidate # 5.684 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 5.684 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 5.684 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 5.684 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 5.684 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 5.684 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 5.685 * [simplify]: Simplifying: (real->posit16 (* (* x x) 1/720)) (* (* x x) 1/720) (* (* x x) 1/720) (+ (+ (log x) (log x)) (log 1/720)) (+ (log (* x x)) (log 1/720)) (log (* (* x x) 1/720)) (exp (* (* x x) 1/720)) (* (* (* (* x x) x) (* (* x x) x)) (* (* 1/720 1/720) 1/720)) (* (* (* (* x x) (* x x)) (* x x)) (* (* 1/720 1/720) 1/720)) (* (cbrt (* (* x x) 1/720)) (cbrt (* (* x x) 1/720))) (cbrt (* (* x x) 1/720)) (* (* (* (* x x) 1/720) (* (* x x) 1/720)) (* (* x x) 1/720)) (sqrt (* (* x x) 1/720)) (sqrt (* (* x x) 1/720)) (* x (sqrt 1/720)) (* x (sqrt 1/720)) (* (* x x) (* (cbrt 1/720) (cbrt 1/720))) (* (* x x) (sqrt 1/720)) (* (* x x) 1) (* x 1/720) (real->posit16 (* (* x x) (- (* (* x x) 1/720) 1/24))) (* (* x x) (- (* (* x x) 1/720) 1/24)) (* (* x x) (- (* (* x x) 1/720) 1/24)) (+ (+ (log x) (log x)) (log (- (* (* x x) 1/720) 1/24))) (+ (log (* x x)) (log (- (* (* x x) 1/720) 1/24))) (log (* (* x x) (- (* (* x x) 1/720) 1/24))) (exp (* (* x x) (- (* (* x x) 1/720) 1/24))) (* (* (* (* x x) x) (* (* x x) x)) (* (* (- (* (* x x) 1/720) 1/24) (- (* (* x x) 1/720) 1/24)) (- (* (* x x) 1/720) 1/24))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (- (* (* x x) 1/720) 1/24) (- (* (* x x) 1/720) 1/24)) (- (* (* x x) 1/720) 1/24))) (* (cbrt (* (* x x) (- (* (* x x) 1/720) 1/24))) (cbrt (* (* x x) (- (* (* x x) 1/720) 1/24)))) (cbrt (* (* x x) (- (* (* x x) 1/720) 1/24))) (* (* (* (* x x) (- (* (* x x) 1/720) 1/24)) (* (* x x) (- (* (* x x) 1/720) 1/24))) (* (* x x) (- (* (* x x) 1/720) 1/24))) (sqrt (* (* x x) (- (* (* x x) 1/720) 1/24))) (sqrt (* (* x x) (- (* (* x x) 1/720) 1/24))) (* x (sqrt (- (* (* x x) 1/720) 1/24))) (* x (sqrt (- (* (* x x) 1/720) 1/24))) (* (* x x) (* (* x x) 1/720)) (* (* x x) (- 1/24)) (* (* x x) (* (* x x) 1/720)) (* (* x x) (- 1/24)) (* (* (* x x) 1/720) (* x x)) (* (- 1/24) (* x x)) (* (* (* x x) 1/720) (* x x)) (* (- 1/24) (* x x)) (* (* x x) (* (cbrt (- (* (* x x) 1/720) 1/24)) (cbrt (- (* (* x x) 1/720) 1/24)))) (* (* x x) (sqrt (- (* (* x x) 1/720) 1/24))) (* (* x x) 1) (* x (- (* (* x x) 1/720) 1/24)) (* (* x x) (- (pow (* (* x x) 1/720) 3) (pow 1/24 3))) (* (* x x) (- (* (* (* x x) 1/720) (* (* x x) 1/720)) (* 1/24 1/24))) (real->posit16 (- (* (* x x) 1/720) 1/24)) (/ (exp (* (* x x) 1/720)) (exp 1/24)) (log (- (* (* x x) 1/720) 1/24)) (exp (- (* (* x x) 1/720) 1/24)) (* (cbrt (- (* (* x x) 1/720) 1/24)) (cbrt (- (* (* x x) 1/720) 1/24))) (cbrt (- (* (* x x) 1/720) 1/24)) (* (* (- (* (* x x) 1/720) 1/24) (- (* (* x x) 1/720) 1/24)) (- (* (* x x) 1/720) 1/24)) (sqrt (- (* (* x x) 1/720) 1/24)) (sqrt (- (* (* x x) 1/720) 1/24)) (- (pow (* (* x x) 1/720) 3) (pow 1/24 3)) (+ (* (* (* x x) 1/720) (* (* x x) 1/720)) (+ (* 1/24 1/24) (* (* (* x x) 1/720) 1/24))) (- 1/24) (- (* (* (* x x) 1/720) (* (* x x) 1/720)) (* 1/24 1/24)) (+ (* (* x x) 1/720) 1/24) (- 1/24) (* 1/720 (pow x 2)) (* 1/720 (pow x 2)) (* 1/720 (pow x 2)) (- (* 1/720 (pow x 4)) (* 1/24 (pow x 2))) (- (* 1/720 (pow x 4)) (* 1/24 (pow x 2))) (- (* 1/720 (pow x 4)) (* 1/24 (pow x 2))) (- (* 1/720 (pow x 2)) 1/24) (- (* 1/720 (pow x 2)) 1/24) (- (* 1/720 (pow x 2)) 1/24) 5.688 * * [simplify]: iteration 0: 90 enodes 5.795 * * [simplify]: iteration 1: 254 enodes 6.129 * * [simplify]: iteration 2: 816 enodes 7.808 * * [simplify]: iteration 3: 3296 enodes 12.209 * * [simplify]: iteration complete: 5015 enodes 12.209 * * [simplify]: Extracting #0: cost 42 inf + 0 12.211 * * [simplify]: Extracting #1: cost 399 inf + 1 12.218 * * [simplify]: Extracting #2: cost 1327 inf + 3005 12.243 * * [simplify]: Extracting #3: cost 1095 inf + 80423 12.286 * * [simplify]: Extracting #4: cost 249 inf + 247519 12.362 * * [simplify]: Extracting #5: cost 14 inf + 309514 12.427 * * [simplify]: Extracting #6: cost 0 inf + 314278 12.512 * [simplify]: Simplified to: (real->posit16 (* 1/720 (* x x))) (* 1/720 (* x x)) (* 1/720 (* x x)) (log (* 1/720 (* x x))) (log (* 1/720 (* x x))) (log (* 1/720 (* x x))) (exp (* 1/720 (* x x))) (* (* (* x x) 1/373248000) (* (* x x) (* x x))) (* (* (* x x) 1/373248000) (* (* x x) (* x x))) (* (cbrt (* 1/720 (* x x))) (cbrt (* 1/720 (* x x)))) (cbrt (* 1/720 (* x x))) (* (* (* x x) 1/373248000) (* (* x x) (* x x))) (sqrt (* 1/720 (* x x))) (sqrt (* 1/720 (* x x))) (* x (sqrt 1/720)) (* x (sqrt 1/720)) (* (* x (cbrt 1/720)) (* x (cbrt 1/720))) (* x (* x (sqrt 1/720))) (* x x) (* x 1/720) (real->posit16 (* (* x x) (- (* 1/720 (* x x)) 1/24))) (* (* x x) (- (* 1/720 (* x x)) 1/24)) (* (* x x) (- (* 1/720 (* x x)) 1/24)) (log (* (* x x) (- (* 1/720 (* x x)) 1/24))) (log (* (* x x) (- (* 1/720 (* x x)) 1/24))) (log (* (* x x) (- (* 1/720 (* x x)) 1/24))) (exp (* (* x x) (- (* 1/720 (* x x)) 1/24))) (* (- (* 1/720 (* x x)) 1/24) (* (* x x) (* (* (- (* 1/720 (* x x)) 1/24) (* x x)) (* (- (* 1/720 (* x x)) 1/24) (* x x))))) (* (- (* 1/720 (* x x)) 1/24) (* (* x x) (* (* (- (* 1/720 (* x x)) 1/24) (* x x)) (* (- (* 1/720 (* x x)) 1/24) (* x x))))) (* (cbrt (* (* x x) (- (* 1/720 (* x x)) 1/24))) (cbrt (* (* x x) (- (* 1/720 (* x x)) 1/24)))) (cbrt (* (* x x) (- (* 1/720 (* x x)) 1/24))) (* (- (* 1/720 (* x x)) 1/24) (* (* x x) (* (* (- (* 1/720 (* x x)) 1/24) (* x x)) (* (- (* 1/720 (* x x)) 1/24) (* x x))))) (sqrt (* (* x x) (- (* 1/720 (* x x)) 1/24))) (sqrt (* (* x x) (- (* 1/720 (* x x)) 1/24))) (* (sqrt (- (* 1/720 (* x x)) 1/24)) x) (* (sqrt (- (* 1/720 (* x x)) 1/24)) x) (* (* x x) (* 1/720 (* x x))) (* x (* -1/24 x)) (* (* x x) (* 1/720 (* x x))) (* x (* -1/24 x)) (* (* x x) (* 1/720 (* x x))) (* x (* -1/24 x)) (* (* x x) (* 1/720 (* x x))) (* x (* -1/24 x)) (* (* x x) (* (cbrt (- (* 1/720 (* x x)) 1/24)) (cbrt (- (* 1/720 (* x x)) 1/24)))) (* (* x x) (sqrt (- (* 1/720 (* x x)) 1/24))) (* x x) (* (- (* 1/720 (* x x)) 1/24) x) (* (* x x) (+ -1/13824 (* (* (* x x) 1/373248000) (* (* x x) (* x x))))) (* (* x x) (+ -1/576 (* (* 1/720 (* x x)) (* 1/720 (* x x))))) (real->posit16 (- (* 1/720 (* x x)) 1/24)) (exp (- (* 1/720 (* x x)) 1/24)) (log (- (* 1/720 (* x x)) 1/24)) (exp (- (* 1/720 (* x x)) 1/24)) (* (cbrt (- (* 1/720 (* x x)) 1/24)) (cbrt (- (* 1/720 (* x x)) 1/24))) (cbrt (- (* 1/720 (* x x)) 1/24)) (* (- (* 1/720 (* x x)) 1/24) (* (- (* 1/720 (* x x)) 1/24) (- (* 1/720 (* x x)) 1/24))) (sqrt (- (* 1/720 (* x x)) 1/24)) (sqrt (- (* 1/720 (* x x)) 1/24)) (+ -1/13824 (* (* (* x x) 1/373248000) (* (* x x) (* x x)))) (+ (* (* 1/720 (* x x)) (* 1/720 (* x x))) (+ 1/576 (* (* x x) 1/17280))) -1/24 (+ -1/576 (* (* 1/720 (* x x)) (* 1/720 (* x x)))) (+ 1/24 (* 1/720 (* x x))) -1/24 (* 1/720 (* x x)) (* 1/720 (* x x)) (* 1/720 (* x x)) (* (* x x) (- (* 1/720 (* x x)) 1/24)) (* (* x x) (- (* 1/720 (* x x)) 1/24)) (* (* x x) (- (* 1/720 (* x x)) 1/24)) (- (* 1/720 (* x x)) 1/24) (- (* 1/720 (* x x)) 1/24) (- (* 1/720 (* x x)) 1/24) 12.515 * * * [progress]: adding candidates to table 13.024 * * [progress]: iteration 3 / 4 13.024 * * * [progress]: picking best candidate 13.123 * * * * [pick]: Picked # 13.124 * * * [progress]: localizing error 13.159 * * * [progress]: generating rewritten candidates 13.159 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 13.176 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 13.227 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 13.282 * * * [progress]: generating series expansions 13.282 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 13.282 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 13.282 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 13.282 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 13.282 * [taylor]: Taking taylor expansion of 1.0 in x 13.283 * [backup-simplify]: Simplify 1.0 into 1.0 13.283 * [taylor]: Taking taylor expansion of (cos x) in x 13.283 * [taylor]: Taking taylor expansion of x in x 13.283 * [backup-simplify]: Simplify 0 into 0 13.283 * [backup-simplify]: Simplify 1 into 1 13.283 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 13.283 * [taylor]: Taking taylor expansion of 1.0 in x 13.283 * [backup-simplify]: Simplify 1.0 into 1.0 13.283 * [taylor]: Taking taylor expansion of (cos x) in x 13.283 * [taylor]: Taking taylor expansion of x in x 13.283 * [backup-simplify]: Simplify 0 into 0 13.283 * [backup-simplify]: Simplify 1 into 1 13.284 * [backup-simplify]: Simplify (- 1) into -1 13.284 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 13.284 * [backup-simplify]: Simplify 0 into 0 13.285 * [backup-simplify]: Simplify (+ 0) into 0 13.285 * [backup-simplify]: Simplify (- 0) into 0 13.285 * [backup-simplify]: Simplify (+ 0 0) into 0 13.285 * [backup-simplify]: Simplify 0 into 0 13.287 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 13.287 * [backup-simplify]: Simplify (- -1/2) into 1/2 13.288 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.288 * [backup-simplify]: Simplify 1/2 into 1/2 13.289 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.290 * [backup-simplify]: Simplify (- 0) into 0 13.290 * [backup-simplify]: Simplify (+ 0 0) into 0 13.290 * [backup-simplify]: Simplify 0 into 0 13.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 13.294 * [backup-simplify]: Simplify (- 1/24) into -1/24 13.294 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 13.294 * [backup-simplify]: Simplify -1/24 into -1/24 13.297 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.297 * [backup-simplify]: Simplify (- 0) into 0 13.298 * [backup-simplify]: Simplify (+ 0 0) into 0 13.298 * [backup-simplify]: Simplify 0 into 0 13.303 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 13.304 * [backup-simplify]: Simplify (- -1/720) into 1/720 13.304 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 13.304 * [backup-simplify]: Simplify 1/720 into 1/720 13.307 * [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))) 13.307 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 13.307 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 13.307 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 13.307 * [taylor]: Taking taylor expansion of 1.0 in x 13.307 * [backup-simplify]: Simplify 1.0 into 1.0 13.307 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 13.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.307 * [taylor]: Taking taylor expansion of x in x 13.307 * [backup-simplify]: Simplify 0 into 0 13.307 * [backup-simplify]: Simplify 1 into 1 13.308 * [backup-simplify]: Simplify (/ 1 1) into 1 13.308 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 13.308 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 13.308 * [taylor]: Taking taylor expansion of 1.0 in x 13.308 * [backup-simplify]: Simplify 1.0 into 1.0 13.308 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 13.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.308 * [taylor]: Taking taylor expansion of x in x 13.308 * [backup-simplify]: Simplify 0 into 0 13.308 * [backup-simplify]: Simplify 1 into 1 13.309 * [backup-simplify]: Simplify (/ 1 1) into 1 13.309 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 13.310 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 13.310 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 13.310 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 13.311 * [backup-simplify]: Simplify (- 0) into 0 13.311 * [backup-simplify]: Simplify (+ 0 0) into 0 13.311 * [backup-simplify]: Simplify 0 into 0 13.312 * [backup-simplify]: Simplify (- 0) into 0 13.312 * [backup-simplify]: Simplify (+ 0 0) into 0 13.312 * [backup-simplify]: Simplify 0 into 0 13.312 * [backup-simplify]: Simplify (- 0) into 0 13.313 * [backup-simplify]: Simplify (+ 0 0) into 0 13.313 * [backup-simplify]: Simplify 0 into 0 13.313 * [backup-simplify]: Simplify (- 0) into 0 13.314 * [backup-simplify]: Simplify (+ 0 0) into 0 13.314 * [backup-simplify]: Simplify 0 into 0 13.314 * [backup-simplify]: Simplify (- 0) into 0 13.315 * [backup-simplify]: Simplify (+ 0 0) into 0 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [backup-simplify]: Simplify (- 0) into 0 13.315 * [backup-simplify]: Simplify (+ 0 0) into 0 13.315 * [backup-simplify]: Simplify 0 into 0 13.316 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 13.316 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 13.316 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 13.316 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 13.316 * [taylor]: Taking taylor expansion of 1.0 in x 13.316 * [backup-simplify]: Simplify 1.0 into 1.0 13.316 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 13.316 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.316 * [taylor]: Taking taylor expansion of -1 in x 13.316 * [backup-simplify]: Simplify -1 into -1 13.316 * [taylor]: Taking taylor expansion of x in x 13.316 * [backup-simplify]: Simplify 0 into 0 13.316 * [backup-simplify]: Simplify 1 into 1 13.317 * [backup-simplify]: Simplify (/ -1 1) into -1 13.317 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 13.317 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 13.317 * [taylor]: Taking taylor expansion of 1.0 in x 13.317 * [backup-simplify]: Simplify 1.0 into 1.0 13.317 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 13.317 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.317 * [taylor]: Taking taylor expansion of -1 in x 13.317 * [backup-simplify]: Simplify -1 into -1 13.317 * [taylor]: Taking taylor expansion of x in x 13.317 * [backup-simplify]: Simplify 0 into 0 13.317 * [backup-simplify]: Simplify 1 into 1 13.317 * [backup-simplify]: Simplify (/ -1 1) into -1 13.318 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 13.318 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 13.318 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 13.318 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 13.318 * [backup-simplify]: Simplify (- 0) into 0 13.319 * [backup-simplify]: Simplify (+ 0 0) into 0 13.319 * [backup-simplify]: Simplify 0 into 0 13.319 * [backup-simplify]: Simplify (- 0) into 0 13.321 * [backup-simplify]: Simplify (+ 0 0) into 0 13.321 * [backup-simplify]: Simplify 0 into 0 13.322 * [backup-simplify]: Simplify (- 0) into 0 13.322 * [backup-simplify]: Simplify (+ 0 0) into 0 13.322 * [backup-simplify]: Simplify 0 into 0 13.322 * [backup-simplify]: Simplify (- 0) into 0 13.323 * [backup-simplify]: Simplify (+ 0 0) into 0 13.323 * [backup-simplify]: Simplify 0 into 0 13.323 * [backup-simplify]: Simplify (- 0) into 0 13.323 * [backup-simplify]: Simplify (+ 0 0) into 0 13.323 * [backup-simplify]: Simplify 0 into 0 13.324 * [backup-simplify]: Simplify (- 0) into 0 13.324 * [backup-simplify]: Simplify (+ 0 0) into 0 13.324 * [backup-simplify]: Simplify 0 into 0 13.324 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 13.324 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 13.324 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 13.324 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 13.324 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 13.325 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 13.325 * [taylor]: Taking taylor expansion of 1.0 in x 13.325 * [backup-simplify]: Simplify 1.0 into 1.0 13.325 * [taylor]: Taking taylor expansion of (cos x) in x 13.325 * [taylor]: Taking taylor expansion of x in x 13.325 * [backup-simplify]: Simplify 0 into 0 13.325 * [backup-simplify]: Simplify 1 into 1 13.325 * [taylor]: Taking taylor expansion of x in x 13.325 * [backup-simplify]: Simplify 0 into 0 13.325 * [backup-simplify]: Simplify 1 into 1 13.325 * [backup-simplify]: Simplify (- 1) into -1 13.325 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 13.325 * [backup-simplify]: Simplify (+ 0) into 0 13.326 * [backup-simplify]: Simplify (- 0) into 0 13.326 * [backup-simplify]: Simplify (+ 0 0) into 0 13.327 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 13.327 * [backup-simplify]: Simplify (- -1/2) into 1/2 13.327 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.327 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.327 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 13.327 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 13.327 * [taylor]: Taking taylor expansion of 1.0 in x 13.328 * [backup-simplify]: Simplify 1.0 into 1.0 13.328 * [taylor]: Taking taylor expansion of (cos x) in x 13.328 * [taylor]: Taking taylor expansion of x in x 13.328 * [backup-simplify]: Simplify 0 into 0 13.328 * [backup-simplify]: Simplify 1 into 1 13.328 * [taylor]: Taking taylor expansion of x in x 13.328 * [backup-simplify]: Simplify 0 into 0 13.328 * [backup-simplify]: Simplify 1 into 1 13.328 * [backup-simplify]: Simplify (- 1) into -1 13.328 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 13.328 * [backup-simplify]: Simplify (+ 0) into 0 13.329 * [backup-simplify]: Simplify (- 0) into 0 13.329 * [backup-simplify]: Simplify (+ 0 0) into 0 13.330 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 13.330 * [backup-simplify]: Simplify (- -1/2) into 1/2 13.330 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.330 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.330 * [backup-simplify]: Simplify 1/2 into 1/2 13.331 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.331 * [backup-simplify]: Simplify (- 0) into 0 13.332 * [backup-simplify]: Simplify (+ 0 0) into 0 13.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.332 * [backup-simplify]: Simplify 0 into 0 13.334 * [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 13.334 * [backup-simplify]: Simplify (- 1/24) into -1/24 13.334 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 13.335 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 13.335 * [backup-simplify]: Simplify -1/24 into -1/24 13.337 * [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 13.337 * [backup-simplify]: Simplify (- 0) into 0 13.338 * [backup-simplify]: Simplify (+ 0 0) into 0 13.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 13.338 * [backup-simplify]: Simplify 0 into 0 13.341 * [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 13.342 * [backup-simplify]: Simplify (- -1/720) into 1/720 13.342 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 13.343 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 13.343 * [backup-simplify]: Simplify 1/720 into 1/720 13.344 * [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))) 13.344 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* (- 1.0 (cos (/ 1 x))) x) 13.344 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in (x) around 0 13.344 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 13.344 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 13.344 * [taylor]: Taking taylor expansion of 1.0 in x 13.345 * [backup-simplify]: Simplify 1.0 into 1.0 13.345 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 13.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.345 * [taylor]: Taking taylor expansion of x in x 13.345 * [backup-simplify]: Simplify 0 into 0 13.345 * [backup-simplify]: Simplify 1 into 1 13.345 * [backup-simplify]: Simplify (/ 1 1) into 1 13.345 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 13.345 * [taylor]: Taking taylor expansion of x in x 13.345 * [backup-simplify]: Simplify 0 into 0 13.345 * [backup-simplify]: Simplify 1 into 1 13.345 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 13.345 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 13.345 * [taylor]: Taking taylor expansion of 1.0 in x 13.345 * [backup-simplify]: Simplify 1.0 into 1.0 13.345 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 13.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.345 * [taylor]: Taking taylor expansion of x in x 13.345 * [backup-simplify]: Simplify 0 into 0 13.345 * [backup-simplify]: Simplify 1 into 1 13.346 * [backup-simplify]: Simplify (/ 1 1) into 1 13.346 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 13.346 * [taylor]: Taking taylor expansion of x in x 13.346 * [backup-simplify]: Simplify 0 into 0 13.346 * [backup-simplify]: Simplify 1 into 1 13.346 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 13.346 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 13.346 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 13.346 * [backup-simplify]: Simplify 0 into 0 13.347 * [backup-simplify]: Simplify (- 0) into 0 13.347 * [backup-simplify]: Simplify (+ 0 0) into 0 13.348 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 13.348 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 13.348 * [backup-simplify]: Simplify (- 0) into 0 13.348 * [backup-simplify]: Simplify (+ 0 0) into 0 13.349 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 13.349 * [backup-simplify]: Simplify 0 into 0 13.349 * [backup-simplify]: Simplify (- 0) into 0 13.349 * [backup-simplify]: Simplify (+ 0 0) into 0 13.350 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.350 * [backup-simplify]: Simplify 0 into 0 13.351 * [backup-simplify]: Simplify (- 0) into 0 13.351 * [backup-simplify]: Simplify (+ 0 0) into 0 13.352 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.352 * [backup-simplify]: Simplify 0 into 0 13.352 * [backup-simplify]: Simplify (- 0) into 0 13.352 * [backup-simplify]: Simplify (+ 0 0) into 0 13.353 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [backup-simplify]: Simplify (- 0) into 0 13.354 * [backup-simplify]: Simplify (+ 0 0) into 0 13.355 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.355 * [backup-simplify]: Simplify 0 into 0 13.355 * [backup-simplify]: Simplify (- 0) into 0 13.356 * [backup-simplify]: Simplify (+ 0 0) into 0 13.357 * [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 13.357 * [backup-simplify]: Simplify 0 into 0 13.358 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 13.359 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* x (- 1.0 (cos (/ -1 x))))) 13.359 * [approximate]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in (x) around 0 13.359 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 13.359 * [taylor]: Taking taylor expansion of -1 in x 13.359 * [backup-simplify]: Simplify -1 into -1 13.359 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 13.359 * [taylor]: Taking taylor expansion of x in x 13.359 * [backup-simplify]: Simplify 0 into 0 13.359 * [backup-simplify]: Simplify 1 into 1 13.359 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 13.359 * [taylor]: Taking taylor expansion of 1.0 in x 13.359 * [backup-simplify]: Simplify 1.0 into 1.0 13.359 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 13.359 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.359 * [taylor]: Taking taylor expansion of -1 in x 13.359 * [backup-simplify]: Simplify -1 into -1 13.359 * [taylor]: Taking taylor expansion of x in x 13.359 * [backup-simplify]: Simplify 0 into 0 13.359 * [backup-simplify]: Simplify 1 into 1 13.360 * [backup-simplify]: Simplify (/ -1 1) into -1 13.360 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 13.360 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 13.360 * [taylor]: Taking taylor expansion of -1 in x 13.360 * [backup-simplify]: Simplify -1 into -1 13.360 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 13.360 * [taylor]: Taking taylor expansion of x in x 13.360 * [backup-simplify]: Simplify 0 into 0 13.360 * [backup-simplify]: Simplify 1 into 1 13.360 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 13.360 * [taylor]: Taking taylor expansion of 1.0 in x 13.360 * [backup-simplify]: Simplify 1.0 into 1.0 13.360 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 13.360 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.360 * [taylor]: Taking taylor expansion of -1 in x 13.361 * [backup-simplify]: Simplify -1 into -1 13.361 * [taylor]: Taking taylor expansion of x in x 13.361 * [backup-simplify]: Simplify 0 into 0 13.361 * [backup-simplify]: Simplify 1 into 1 13.361 * [backup-simplify]: Simplify (/ -1 1) into -1 13.361 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 13.362 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 13.362 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 13.363 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 13.363 * [backup-simplify]: Simplify (* -1 0) into 0 13.363 * [backup-simplify]: Simplify 0 into 0 13.364 * [backup-simplify]: Simplify (- 0) into 0 13.364 * [backup-simplify]: Simplify (+ 0 0) into 0 13.365 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 13.366 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 13.366 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 13.367 * [backup-simplify]: Simplify (- 0) into 0 13.367 * [backup-simplify]: Simplify (+ 0 0) into 0 13.368 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 13.370 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 13.370 * [backup-simplify]: Simplify 0 into 0 13.370 * [backup-simplify]: Simplify (- 0) into 0 13.371 * [backup-simplify]: Simplify (+ 0 0) into 0 13.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 13.374 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 13.374 * [backup-simplify]: Simplify 0 into 0 13.375 * [backup-simplify]: Simplify (- 0) into 0 13.375 * [backup-simplify]: Simplify (+ 0 0) into 0 13.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 13.380 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 13.380 * [backup-simplify]: Simplify 0 into 0 13.380 * [backup-simplify]: Simplify (- 0) into 0 13.381 * [backup-simplify]: Simplify (+ 0 0) into 0 13.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 13.386 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 13.387 * [backup-simplify]: Simplify 0 into 0 13.387 * [backup-simplify]: Simplify (- 0) into 0 13.388 * [backup-simplify]: Simplify (+ 0 0) into 0 13.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 13.394 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 13.394 * [backup-simplify]: Simplify 0 into 0 13.395 * [backup-simplify]: Simplify (- 0) into 0 13.395 * [backup-simplify]: Simplify (+ 0 0) into 0 13.399 * [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 13.402 * [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 13.402 * [backup-simplify]: Simplify 0 into 0 13.402 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 13.402 * * * * [progress]: [ 3 / 3 ] generating series at (2) 13.403 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos x)) x) x) into (/ (- 1.0 (cos x)) (pow x 2)) 13.403 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 13.403 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 13.403 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 13.403 * [taylor]: Taking taylor expansion of 1.0 in x 13.403 * [backup-simplify]: Simplify 1.0 into 1.0 13.403 * [taylor]: Taking taylor expansion of (cos x) in x 13.403 * [taylor]: Taking taylor expansion of x in x 13.403 * [backup-simplify]: Simplify 0 into 0 13.403 * [backup-simplify]: Simplify 1 into 1 13.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.403 * [taylor]: Taking taylor expansion of x in x 13.403 * [backup-simplify]: Simplify 0 into 0 13.403 * [backup-simplify]: Simplify 1 into 1 13.403 * [backup-simplify]: Simplify (- 1) into -1 13.403 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 13.404 * [backup-simplify]: Simplify (+ 0) into 0 13.404 * [backup-simplify]: Simplify (- 0) into 0 13.404 * [backup-simplify]: Simplify (+ 0 0) into 0 13.405 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 13.405 * [backup-simplify]: Simplify (- -1/2) into 1/2 13.405 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.406 * [backup-simplify]: Simplify (* 1 1) into 1 13.406 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.406 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 13.406 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 13.406 * [taylor]: Taking taylor expansion of 1.0 in x 13.406 * [backup-simplify]: Simplify 1.0 into 1.0 13.406 * [taylor]: Taking taylor expansion of (cos x) in x 13.406 * [taylor]: Taking taylor expansion of x in x 13.406 * [backup-simplify]: Simplify 0 into 0 13.406 * [backup-simplify]: Simplify 1 into 1 13.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.406 * [taylor]: Taking taylor expansion of x in x 13.406 * [backup-simplify]: Simplify 0 into 0 13.406 * [backup-simplify]: Simplify 1 into 1 13.406 * [backup-simplify]: Simplify (- 1) into -1 13.407 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 13.407 * [backup-simplify]: Simplify (+ 0) into 0 13.407 * [backup-simplify]: Simplify (- 0) into 0 13.407 * [backup-simplify]: Simplify (+ 0 0) into 0 13.408 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 13.408 * [backup-simplify]: Simplify (- -1/2) into 1/2 13.409 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.409 * [backup-simplify]: Simplify (* 1 1) into 1 13.409 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.409 * [backup-simplify]: Simplify 1/2 into 1/2 13.410 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.410 * [backup-simplify]: Simplify (- 0) into 0 13.410 * [backup-simplify]: Simplify (+ 0 0) into 0 13.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.411 * [backup-simplify]: Simplify 0 into 0 13.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 13.413 * [backup-simplify]: Simplify (- 1/24) into -1/24 13.414 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 13.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.415 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 13.415 * [backup-simplify]: Simplify -1/24 into -1/24 13.417 * [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 13.417 * [backup-simplify]: Simplify (- 0) into 0 13.417 * [backup-simplify]: Simplify (+ 0 0) into 0 13.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 13.419 * [backup-simplify]: Simplify 0 into 0 13.422 * [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 13.422 * [backup-simplify]: Simplify (- -1/720) into 1/720 13.422 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 13.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.424 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 13.424 * [backup-simplify]: Simplify 1/720 into 1/720 13.425 * [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))) 13.425 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 x)) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 13.425 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 13.425 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 13.425 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 13.425 * [taylor]: Taking taylor expansion of 1.0 in x 13.426 * [backup-simplify]: Simplify 1.0 into 1.0 13.426 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 13.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.426 * [taylor]: Taking taylor expansion of x in x 13.426 * [backup-simplify]: Simplify 0 into 0 13.426 * [backup-simplify]: Simplify 1 into 1 13.426 * [backup-simplify]: Simplify (/ 1 1) into 1 13.426 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 13.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.426 * [taylor]: Taking taylor expansion of x in x 13.426 * [backup-simplify]: Simplify 0 into 0 13.426 * [backup-simplify]: Simplify 1 into 1 13.426 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 13.426 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 13.426 * [taylor]: Taking taylor expansion of 1.0 in x 13.426 * [backup-simplify]: Simplify 1.0 into 1.0 13.426 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 13.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.426 * [taylor]: Taking taylor expansion of x in x 13.426 * [backup-simplify]: Simplify 0 into 0 13.426 * [backup-simplify]: Simplify 1 into 1 13.427 * [backup-simplify]: Simplify (/ 1 1) into 1 13.427 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 13.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.427 * [taylor]: Taking taylor expansion of x in x 13.427 * [backup-simplify]: Simplify 0 into 0 13.427 * [backup-simplify]: Simplify 1 into 1 13.427 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 13.427 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 13.428 * [backup-simplify]: Simplify (* 1 1) into 1 13.428 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 13.428 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 13.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.429 * [backup-simplify]: Simplify (- 0) into 0 13.429 * [backup-simplify]: Simplify (+ 0 0) into 0 13.430 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 13.430 * [backup-simplify]: Simplify 0 into 0 13.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.430 * [backup-simplify]: Simplify (- 0) into 0 13.432 * [backup-simplify]: Simplify (+ 0 0) into 0 13.433 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 13.434 * [backup-simplify]: Simplify 0 into 0 13.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.435 * [backup-simplify]: Simplify (- 0) into 0 13.435 * [backup-simplify]: Simplify (+ 0 0) into 0 13.437 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.437 * [backup-simplify]: Simplify 0 into 0 13.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.438 * [backup-simplify]: Simplify (- 0) into 0 13.439 * [backup-simplify]: Simplify (+ 0 0) into 0 13.441 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.441 * [backup-simplify]: Simplify 0 into 0 13.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.443 * [backup-simplify]: Simplify (- 0) into 0 13.443 * [backup-simplify]: Simplify (+ 0 0) into 0 13.445 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.445 * [backup-simplify]: Simplify 0 into 0 13.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.447 * [backup-simplify]: Simplify (- 0) into 0 13.448 * [backup-simplify]: Simplify (+ 0 0) into 0 13.450 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.450 * [backup-simplify]: Simplify 0 into 0 13.451 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 13.452 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (- x))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 13.452 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 13.452 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 13.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.452 * [taylor]: Taking taylor expansion of x in x 13.452 * [backup-simplify]: Simplify 0 into 0 13.452 * [backup-simplify]: Simplify 1 into 1 13.452 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 13.452 * [taylor]: Taking taylor expansion of 1.0 in x 13.452 * [backup-simplify]: Simplify 1.0 into 1.0 13.452 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 13.452 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.452 * [taylor]: Taking taylor expansion of -1 in x 13.452 * [backup-simplify]: Simplify -1 into -1 13.452 * [taylor]: Taking taylor expansion of x in x 13.452 * [backup-simplify]: Simplify 0 into 0 13.452 * [backup-simplify]: Simplify 1 into 1 13.453 * [backup-simplify]: Simplify (/ -1 1) into -1 13.453 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 13.453 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 13.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.453 * [taylor]: Taking taylor expansion of x in x 13.453 * [backup-simplify]: Simplify 0 into 0 13.453 * [backup-simplify]: Simplify 1 into 1 13.453 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 13.453 * [taylor]: Taking taylor expansion of 1.0 in x 13.453 * [backup-simplify]: Simplify 1.0 into 1.0 13.453 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 13.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.454 * [taylor]: Taking taylor expansion of -1 in x 13.454 * [backup-simplify]: Simplify -1 into -1 13.454 * [taylor]: Taking taylor expansion of x in x 13.454 * [backup-simplify]: Simplify 0 into 0 13.454 * [backup-simplify]: Simplify 1 into 1 13.454 * [backup-simplify]: Simplify (/ -1 1) into -1 13.454 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 13.455 * [backup-simplify]: Simplify (* 1 1) into 1 13.455 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 13.456 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 13.456 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 13.457 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 13.457 * [backup-simplify]: Simplify (- 0) into 0 13.458 * [backup-simplify]: Simplify (+ 0 0) into 0 13.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 13.459 * [backup-simplify]: Simplify 0 into 0 13.460 * [backup-simplify]: Simplify (- 0) into 0 13.460 * [backup-simplify]: Simplify (+ 0 0) into 0 13.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 13.462 * [backup-simplify]: Simplify 0 into 0 13.462 * [backup-simplify]: Simplify (- 0) into 0 13.462 * [backup-simplify]: Simplify (+ 0 0) into 0 13.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 13.464 * [backup-simplify]: Simplify 0 into 0 13.464 * [backup-simplify]: Simplify (- 0) into 0 13.464 * [backup-simplify]: Simplify (+ 0 0) into 0 13.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 13.467 * [backup-simplify]: Simplify 0 into 0 13.467 * [backup-simplify]: Simplify (- 0) into 0 13.467 * [backup-simplify]: Simplify (+ 0 0) into 0 13.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 13.470 * [backup-simplify]: Simplify 0 into 0 13.470 * [backup-simplify]: Simplify (- 0) into 0 13.470 * [backup-simplify]: Simplify (+ 0 0) into 0 13.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 13.473 * [backup-simplify]: Simplify 0 into 0 13.474 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 13.474 * * * [progress]: simplifying candidates 13.474 * * * * [progress]: [ 1 / 159 ] simplifiying candidate #real (real->posit16 (- 1.0 (cos x)))) x) x))> 13.474 * * * * [progress]: [ 2 / 159 ] simplifiying candidate # 13.474 * * * * [progress]: [ 3 / 159 ] simplifiying candidate # 13.474 * * * * [progress]: [ 4 / 159 ] simplifiying candidate # 13.474 * * * * [progress]: [ 5 / 159 ] simplifiying candidate # 13.474 * * * * [progress]: [ 6 / 159 ] simplifiying candidate # 13.474 * * * * [progress]: [ 7 / 159 ] simplifiying candidate # 13.474 * * * * [progress]: [ 8 / 159 ] simplifiying candidate # 13.474 * * * * [progress]: [ 9 / 159 ] simplifiying candidate # 13.474 * * * * [progress]: [ 10 / 159 ] simplifiying candidate # 13.474 * * * * [progress]: [ 11 / 159 ] simplifiying candidate # 13.474 * * * * [progress]: [ 12 / 159 ] simplifiying candidate # 13.474 * * * * [progress]: [ 13 / 159 ] simplifiying candidate # 13.474 * * * * [progress]: [ 14 / 159 ] simplifiying candidate # 13.474 * * * * [progress]: [ 15 / 159 ] simplifiying candidate # 13.474 * * * * [progress]: [ 16 / 159 ] simplifiying candidate #real (real->posit16 (/ (- 1.0 (cos x)) x))) x))> 13.474 * * * * [progress]: [ 17 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 18 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 19 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 20 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 21 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 22 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 23 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 24 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 25 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 26 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 27 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 28 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 29 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 30 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 31 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 32 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 33 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 34 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 35 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 36 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 37 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 38 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 39 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 40 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 41 / 159 ] simplifiying candidate # 13.475 * * * * [progress]: [ 42 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 43 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 44 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 45 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 46 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 47 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 48 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 49 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 50 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 51 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 52 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 53 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 54 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 55 / 159 ] simplifiying candidate #real (real->posit16 (/ (/ (- 1.0 (cos x)) x) x))))> 13.476 * * * * [progress]: [ 56 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 57 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 58 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 59 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 60 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 61 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 62 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 63 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 64 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 65 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 66 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 67 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 68 / 159 ] simplifiying candidate # 13.476 * * * * [progress]: [ 69 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 70 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 71 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 72 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 73 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 74 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 75 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 76 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 77 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 78 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 79 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 80 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 81 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 82 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 83 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 84 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 85 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 86 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 87 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 88 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 89 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 90 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 91 / 159 ] simplifiying candidate # 13.477 * * * * [progress]: [ 92 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 93 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 94 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 95 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 96 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 97 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 98 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 99 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 100 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 101 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 102 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 103 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 104 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 105 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 106 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 107 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 108 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 109 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 110 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 111 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 112 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 113 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 114 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 115 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 116 / 159 ] simplifiying candidate # 13.478 * * * * [progress]: [ 117 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 118 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 119 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 120 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 121 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 122 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 123 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 124 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 125 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 126 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 127 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 128 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 129 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 130 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 131 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 132 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 133 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 134 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 135 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 136 / 159 ] simplifiying candidate # 13.479 * * * * [progress]: [ 137 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 138 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 139 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 140 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 141 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 142 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 143 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 144 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 145 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 146 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 147 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 148 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 149 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 150 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 151 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 152 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 153 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 154 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 155 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 156 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 157 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 158 / 159 ] simplifiying candidate # 13.480 * * * * [progress]: [ 159 / 159 ] simplifiying candidate # 13.482 * [simplify]: Simplifying: (real->posit16 (- 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 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x)) x)) (sqrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) 1) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) 1) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) 1) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (sqrt x)) 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x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) 1) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ x (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) x)) (/ x (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ 1 x)) (* x x) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 13.486 * * [simplify]: iteration 0: 232 enodes 13.706 * * [simplify]: iteration 1: 527 enodes 14.201 * * [simplify]: iteration 2: 1357 enodes 15.915 * * [simplify]: iteration complete: 5001 enodes 15.915 * * [simplify]: Extracting #0: cost 127 inf + 0 15.919 * * [simplify]: Extracting #1: cost 1033 inf + 1 15.930 * * [simplify]: Extracting #2: cost 1923 inf + 2470 15.965 * * [simplify]: Extracting #3: cost 1270 inf + 95210 16.019 * * [simplify]: Extracting #4: cost 316 inf + 314284 16.109 * * [simplify]: Extracting #5: cost 17 inf + 398020 16.222 * * [simplify]: Extracting #6: cost 0 inf + 403722 16.310 * * [simplify]: Extracting #7: cost 0 inf + 403642 16.410 * [simplify]: Simplified to: (real->posit16 (- 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 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x)) x)) (sqrt x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (* (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (* x (cbrt x))) (/ (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (* (sqrt x) (cbrt x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (cbrt (- 1.0 (cos x))) (/ (sqrt x) (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) (* x (sqrt x))) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (* x (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (/ (sqrt x) (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) (* x (sqrt x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (* x x)) (/ (sqrt (- 1.0 (cos x))) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (sqrt x))) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (* x (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (sqrt x))) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (* x (sqrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (* x (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (* x (sqrt x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (* x x)) (/ 1 (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ (/ 1 (cbrt x)) (cbrt x)) (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) (cbrt x))) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ (/ 1 (cbrt x)) (cbrt x)) (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) (cbrt x))) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) 1 (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (sqrt x))) (cbrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x (cbrt x))) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (sqrt x))) (cbrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x (cbrt x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x x)) (/ 1 (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ (/ 1 (cbrt x)) (cbrt x)) (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) (cbrt x))) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ (/ 1 (cbrt x)) (cbrt x)) (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) (cbrt x))) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) 1 (/ (/ (- 1.0 (cos x)) x) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) 1 (/ (/ (- 1.0 (cos x)) x) x) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ 1 (* (cbrt x) x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (- 1.0 (cos x)) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) x) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ (* x (cbrt x)) (cbrt (- 1.0 (cos x)))) (/ (* x (sqrt x)) (cbrt (- 1.0 (cos x)))) (* (/ x (cbrt (- 1.0 (cos x)))) x) (/ (* x (cbrt x)) (sqrt (- 1.0 (cos x)))) (* (sqrt x) (/ x (sqrt (- 1.0 (cos x))))) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ (* x (sqrt x)) (- 1.0 (cos x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x))) (* (/ x (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ (* x (sqrt x)) (- 1.0 (cos x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- 1.0 (cos x)) x)) (* x x) (* x x) (+ (* 1/720 (* (* x (* x x)) (* x (* x x)))) (+ (* (* (* x x) (* x x)) -1/24) (* 1/2 (* x x)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/720 (pow x 5)) (* x (- 1/2 (* 1/24 (* x x))))) (/ (- 1.0 (cos x)) x) (- (/ (- (cos x) 1.0) x)) (+ (- 1/2 (* 1/24 (* x x))) (* (* 1/720 (* x x)) (* x x))) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) 16.420 * * * [progress]: adding candidates to table 17.742 * * [progress]: iteration 4 / 4 17.742 * * * [progress]: picking best candidate 17.805 * * * * [pick]: Picked # 17.806 * * * [progress]: localizing error 17.862 * * * [progress]: generating rewritten candidates 17.862 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 17.880 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 17.898 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 17.935 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 18.112 * * * [progress]: generating series expansions 18.112 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 18.113 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 18.113 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 18.113 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 18.113 * [taylor]: Taking taylor expansion of 1.0 in x 18.113 * [backup-simplify]: Simplify 1.0 into 1.0 18.113 * [taylor]: Taking taylor expansion of (cos x) in x 18.113 * [taylor]: Taking taylor expansion of x in x 18.113 * [backup-simplify]: Simplify 0 into 0 18.113 * [backup-simplify]: Simplify 1 into 1 18.113 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 18.113 * [taylor]: Taking taylor expansion of 1.0 in x 18.113 * [backup-simplify]: Simplify 1.0 into 1.0 18.113 * [taylor]: Taking taylor expansion of (cos x) in x 18.113 * [taylor]: Taking taylor expansion of x in x 18.113 * [backup-simplify]: Simplify 0 into 0 18.113 * [backup-simplify]: Simplify 1 into 1 18.114 * [backup-simplify]: Simplify (- 1) into -1 18.114 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 18.115 * [backup-simplify]: Simplify 0 into 0 18.115 * [backup-simplify]: Simplify (+ 0) into 0 18.115 * [backup-simplify]: Simplify (- 0) into 0 18.116 * [backup-simplify]: Simplify (+ 0 0) into 0 18.116 * [backup-simplify]: Simplify 0 into 0 18.117 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 18.117 * [backup-simplify]: Simplify (- -1/2) into 1/2 18.117 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 18.117 * [backup-simplify]: Simplify 1/2 into 1/2 18.119 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.119 * [backup-simplify]: Simplify (- 0) into 0 18.119 * [backup-simplify]: Simplify (+ 0 0) into 0 18.119 * [backup-simplify]: Simplify 0 into 0 18.123 * [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 18.123 * [backup-simplify]: Simplify (- 1/24) into -1/24 18.124 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 18.124 * [backup-simplify]: Simplify -1/24 into -1/24 18.127 * [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 18.127 * [backup-simplify]: Simplify (- 0) into 0 18.127 * [backup-simplify]: Simplify (+ 0 0) into 0 18.128 * [backup-simplify]: Simplify 0 into 0 18.133 * [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 18.134 * [backup-simplify]: Simplify (- -1/720) into 1/720 18.134 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 18.134 * [backup-simplify]: Simplify 1/720 into 1/720 18.136 * [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))) 18.137 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 18.137 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 18.137 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 18.137 * [taylor]: Taking taylor expansion of 1.0 in x 18.137 * [backup-simplify]: Simplify 1.0 into 1.0 18.137 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 18.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.137 * [taylor]: Taking taylor expansion of x in x 18.137 * [backup-simplify]: Simplify 0 into 0 18.137 * [backup-simplify]: Simplify 1 into 1 18.138 * [backup-simplify]: Simplify (/ 1 1) into 1 18.138 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 18.138 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 18.138 * [taylor]: Taking taylor expansion of 1.0 in x 18.138 * [backup-simplify]: Simplify 1.0 into 1.0 18.138 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 18.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.138 * [taylor]: Taking taylor expansion of x in x 18.138 * [backup-simplify]: Simplify 0 into 0 18.138 * [backup-simplify]: Simplify 1 into 1 18.139 * [backup-simplify]: Simplify (/ 1 1) into 1 18.139 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 18.139 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 18.140 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 18.140 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 18.141 * [backup-simplify]: Simplify (- 0) into 0 18.141 * [backup-simplify]: Simplify (+ 0 0) into 0 18.141 * [backup-simplify]: Simplify 0 into 0 18.142 * [backup-simplify]: Simplify (- 0) into 0 18.142 * [backup-simplify]: Simplify (+ 0 0) into 0 18.142 * [backup-simplify]: Simplify 0 into 0 18.143 * [backup-simplify]: Simplify (- 0) into 0 18.143 * [backup-simplify]: Simplify (+ 0 0) into 0 18.143 * [backup-simplify]: Simplify 0 into 0 18.143 * [backup-simplify]: Simplify (- 0) into 0 18.144 * [backup-simplify]: Simplify (+ 0 0) into 0 18.144 * [backup-simplify]: Simplify 0 into 0 18.144 * [backup-simplify]: Simplify (- 0) into 0 18.145 * [backup-simplify]: Simplify (+ 0 0) into 0 18.145 * [backup-simplify]: Simplify 0 into 0 18.145 * [backup-simplify]: Simplify (- 0) into 0 18.146 * [backup-simplify]: Simplify (+ 0 0) into 0 18.146 * [backup-simplify]: Simplify 0 into 0 18.146 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 18.147 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 18.147 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 18.147 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 18.147 * [taylor]: Taking taylor expansion of 1.0 in x 18.147 * [backup-simplify]: Simplify 1.0 into 1.0 18.147 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 18.147 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.147 * [taylor]: Taking taylor expansion of -1 in x 18.147 * [backup-simplify]: Simplify -1 into -1 18.147 * [taylor]: Taking taylor expansion of x in x 18.147 * [backup-simplify]: Simplify 0 into 0 18.147 * [backup-simplify]: Simplify 1 into 1 18.148 * [backup-simplify]: Simplify (/ -1 1) into -1 18.148 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 18.148 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 18.148 * [taylor]: Taking taylor expansion of 1.0 in x 18.148 * [backup-simplify]: Simplify 1.0 into 1.0 18.148 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 18.148 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.148 * [taylor]: Taking taylor expansion of -1 in x 18.148 * [backup-simplify]: Simplify -1 into -1 18.148 * [taylor]: Taking taylor expansion of x in x 18.148 * [backup-simplify]: Simplify 0 into 0 18.148 * [backup-simplify]: Simplify 1 into 1 18.149 * [backup-simplify]: Simplify (/ -1 1) into -1 18.149 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 18.150 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 18.150 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 18.150 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 18.151 * [backup-simplify]: Simplify (- 0) into 0 18.151 * [backup-simplify]: Simplify (+ 0 0) into 0 18.151 * [backup-simplify]: Simplify 0 into 0 18.152 * [backup-simplify]: Simplify (- 0) into 0 18.152 * [backup-simplify]: Simplify (+ 0 0) into 0 18.152 * [backup-simplify]: Simplify 0 into 0 18.153 * [backup-simplify]: Simplify (- 0) into 0 18.153 * [backup-simplify]: Simplify (+ 0 0) into 0 18.153 * [backup-simplify]: Simplify 0 into 0 18.153 * [backup-simplify]: Simplify (- 0) into 0 18.154 * [backup-simplify]: Simplify (+ 0 0) into 0 18.154 * [backup-simplify]: Simplify 0 into 0 18.154 * [backup-simplify]: Simplify (- 0) into 0 18.155 * [backup-simplify]: Simplify (+ 0 0) into 0 18.155 * [backup-simplify]: Simplify 0 into 0 18.155 * [backup-simplify]: Simplify (- 0) into 0 18.155 * [backup-simplify]: Simplify (+ 0 0) into 0 18.156 * [backup-simplify]: Simplify 0 into 0 18.156 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 18.156 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 18.157 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 18.157 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 18.157 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 18.157 * [taylor]: Taking taylor expansion of 1.0 in x 18.157 * [backup-simplify]: Simplify 1.0 into 1.0 18.157 * [taylor]: Taking taylor expansion of (cos x) in x 18.157 * [taylor]: Taking taylor expansion of x in x 18.157 * [backup-simplify]: Simplify 0 into 0 18.157 * [backup-simplify]: Simplify 1 into 1 18.157 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 18.157 * [taylor]: Taking taylor expansion of 1.0 in x 18.157 * [backup-simplify]: Simplify 1.0 into 1.0 18.157 * [taylor]: Taking taylor expansion of (cos x) in x 18.157 * [taylor]: Taking taylor expansion of x in x 18.157 * [backup-simplify]: Simplify 0 into 0 18.157 * [backup-simplify]: Simplify 1 into 1 18.157 * [backup-simplify]: Simplify (- 1) into -1 18.158 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 18.158 * [backup-simplify]: Simplify 0 into 0 18.158 * [backup-simplify]: Simplify (+ 0) into 0 18.159 * [backup-simplify]: Simplify (- 0) into 0 18.159 * [backup-simplify]: Simplify (+ 0 0) into 0 18.159 * [backup-simplify]: Simplify 0 into 0 18.160 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 18.161 * [backup-simplify]: Simplify (- -1/2) into 1/2 18.161 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 18.161 * [backup-simplify]: Simplify 1/2 into 1/2 18.163 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.163 * [backup-simplify]: Simplify (- 0) into 0 18.163 * [backup-simplify]: Simplify (+ 0 0) into 0 18.163 * [backup-simplify]: Simplify 0 into 0 18.166 * [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 18.167 * [backup-simplify]: Simplify (- 1/24) into -1/24 18.167 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 18.167 * [backup-simplify]: Simplify -1/24 into -1/24 18.170 * [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 18.170 * [backup-simplify]: Simplify (- 0) into 0 18.171 * [backup-simplify]: Simplify (+ 0 0) into 0 18.171 * [backup-simplify]: Simplify 0 into 0 18.177 * [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 18.177 * [backup-simplify]: Simplify (- -1/720) into 1/720 18.178 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 18.178 * [backup-simplify]: Simplify 1/720 into 1/720 18.180 * [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))) 18.180 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 18.180 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 18.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 18.180 * [taylor]: Taking taylor expansion of 1.0 in x 18.180 * [backup-simplify]: Simplify 1.0 into 1.0 18.180 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 18.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.180 * [taylor]: Taking taylor expansion of x in x 18.180 * [backup-simplify]: Simplify 0 into 0 18.181 * [backup-simplify]: Simplify 1 into 1 18.181 * [backup-simplify]: Simplify (/ 1 1) into 1 18.181 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 18.181 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 18.181 * [taylor]: Taking taylor expansion of 1.0 in x 18.182 * [backup-simplify]: Simplify 1.0 into 1.0 18.182 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 18.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.182 * [taylor]: Taking taylor expansion of x in x 18.182 * [backup-simplify]: Simplify 0 into 0 18.182 * [backup-simplify]: Simplify 1 into 1 18.182 * [backup-simplify]: Simplify (/ 1 1) into 1 18.182 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 18.183 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 18.183 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 18.184 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 18.184 * [backup-simplify]: Simplify (- 0) into 0 18.185 * [backup-simplify]: Simplify (+ 0 0) into 0 18.185 * [backup-simplify]: Simplify 0 into 0 18.185 * [backup-simplify]: Simplify (- 0) into 0 18.186 * [backup-simplify]: Simplify (+ 0 0) into 0 18.186 * [backup-simplify]: Simplify 0 into 0 18.186 * [backup-simplify]: Simplify (- 0) into 0 18.190 * [backup-simplify]: Simplify (+ 0 0) into 0 18.191 * [backup-simplify]: Simplify 0 into 0 18.191 * [backup-simplify]: Simplify (- 0) into 0 18.192 * [backup-simplify]: Simplify (+ 0 0) into 0 18.192 * [backup-simplify]: Simplify 0 into 0 18.192 * [backup-simplify]: Simplify (- 0) into 0 18.193 * [backup-simplify]: Simplify (+ 0 0) into 0 18.193 * [backup-simplify]: Simplify 0 into 0 18.193 * [backup-simplify]: Simplify (- 0) into 0 18.193 * [backup-simplify]: Simplify (+ 0 0) into 0 18.194 * [backup-simplify]: Simplify 0 into 0 18.194 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 18.194 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 18.195 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 18.195 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 18.195 * [taylor]: Taking taylor expansion of 1.0 in x 18.195 * [backup-simplify]: Simplify 1.0 into 1.0 18.195 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 18.195 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.195 * [taylor]: Taking taylor expansion of -1 in x 18.195 * [backup-simplify]: Simplify -1 into -1 18.195 * [taylor]: Taking taylor expansion of x in x 18.195 * [backup-simplify]: Simplify 0 into 0 18.195 * [backup-simplify]: Simplify 1 into 1 18.195 * [backup-simplify]: Simplify (/ -1 1) into -1 18.196 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 18.196 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 18.196 * [taylor]: Taking taylor expansion of 1.0 in x 18.196 * [backup-simplify]: Simplify 1.0 into 1.0 18.196 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 18.196 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.196 * [taylor]: Taking taylor expansion of -1 in x 18.196 * [backup-simplify]: Simplify -1 into -1 18.196 * [taylor]: Taking taylor expansion of x in x 18.196 * [backup-simplify]: Simplify 0 into 0 18.196 * [backup-simplify]: Simplify 1 into 1 18.197 * [backup-simplify]: Simplify (/ -1 1) into -1 18.197 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 18.197 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 18.198 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 18.198 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 18.199 * [backup-simplify]: Simplify (- 0) into 0 18.199 * [backup-simplify]: Simplify (+ 0 0) into 0 18.199 * [backup-simplify]: Simplify 0 into 0 18.199 * [backup-simplify]: Simplify (- 0) into 0 18.200 * [backup-simplify]: Simplify (+ 0 0) into 0 18.200 * [backup-simplify]: Simplify 0 into 0 18.200 * [backup-simplify]: Simplify (- 0) into 0 18.201 * [backup-simplify]: Simplify (+ 0 0) into 0 18.201 * [backup-simplify]: Simplify 0 into 0 18.201 * [backup-simplify]: Simplify (- 0) into 0 18.202 * [backup-simplify]: Simplify (+ 0 0) into 0 18.202 * [backup-simplify]: Simplify 0 into 0 18.202 * [backup-simplify]: Simplify (- 0) into 0 18.202 * [backup-simplify]: Simplify (+ 0 0) into 0 18.203 * [backup-simplify]: Simplify 0 into 0 18.203 * [backup-simplify]: Simplify (- 0) into 0 18.203 * [backup-simplify]: Simplify (+ 0 0) into 0 18.203 * [backup-simplify]: Simplify 0 into 0 18.204 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 18.204 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 18.205 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos x))) x) into (* (/ 1 x) (sqrt (- 1.0 (cos x)))) 18.205 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (cos x)))) in (x) around 0 18.205 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (cos x)))) in x 18.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.205 * [taylor]: Taking taylor expansion of x in x 18.205 * [backup-simplify]: Simplify 0 into 0 18.205 * [backup-simplify]: Simplify 1 into 1 18.205 * [backup-simplify]: Simplify (/ 1 1) into 1 18.205 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 18.205 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 18.205 * [taylor]: Taking taylor expansion of 1.0 in x 18.206 * [backup-simplify]: Simplify 1.0 into 1.0 18.206 * [taylor]: Taking taylor expansion of (cos x) in x 18.206 * [taylor]: Taking taylor expansion of x in x 18.206 * [backup-simplify]: Simplify 0 into 0 18.206 * [backup-simplify]: Simplify 1 into 1 18.206 * [backup-simplify]: Simplify (- 1) into -1 18.207 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 18.207 * [backup-simplify]: Simplify (+ 0) into 0 18.208 * [backup-simplify]: Simplify (- 0) into 0 18.208 * [backup-simplify]: Simplify (+ 0 0) into 0 18.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 18.209 * [backup-simplify]: Simplify (- -1/2) into 1/2 18.210 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 18.210 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 18.212 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.212 * [backup-simplify]: Simplify (- 0) into 0 18.213 * [backup-simplify]: Simplify (+ 0 0) into 0 18.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 18.213 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (cos x)))) in x 18.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.213 * [taylor]: Taking taylor expansion of x in x 18.213 * [backup-simplify]: Simplify 0 into 0 18.214 * [backup-simplify]: Simplify 1 into 1 18.214 * [backup-simplify]: Simplify (/ 1 1) into 1 18.214 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 18.214 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 18.214 * [taylor]: Taking taylor expansion of 1.0 in x 18.214 * [backup-simplify]: Simplify 1.0 into 1.0 18.214 * [taylor]: Taking taylor expansion of (cos x) in x 18.214 * [taylor]: Taking taylor expansion of x in x 18.214 * [backup-simplify]: Simplify 0 into 0 18.214 * [backup-simplify]: Simplify 1 into 1 18.215 * [backup-simplify]: Simplify (- 1) into -1 18.215 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 18.216 * [backup-simplify]: Simplify (+ 0) into 0 18.216 * [backup-simplify]: Simplify (- 0) into 0 18.216 * [backup-simplify]: Simplify (+ 0 0) into 0 18.217 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 18.218 * [backup-simplify]: Simplify (- -1/2) into 1/2 18.218 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 18.219 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 18.220 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.221 * [backup-simplify]: Simplify (- 0) into 0 18.221 * [backup-simplify]: Simplify (+ 0 0) into 0 18.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 18.223 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2) 18.224 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 18.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0 18.225 * [backup-simplify]: Simplify 0 into 0 18.229 * [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 18.229 * [backup-simplify]: Simplify (- 1/24) into -1/24 18.230 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 18.233 * [backup-simplify]: Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) 18.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.239 * [backup-simplify]: Simplify (+ (* 1 (/ -1/48 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 18.241 * [backup-simplify]: Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 18.242 * [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 18.243 * [backup-simplify]: Simplify (- 0) into 0 18.243 * [backup-simplify]: Simplify (+ 0 0) into 0 18.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 18.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -1/48 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 18.246 * [backup-simplify]: Simplify 0 into 0 18.249 * [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 18.249 * [backup-simplify]: Simplify (- -1/720) into 1/720 18.250 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 18.254 * [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))) 18.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.264 * [backup-simplify]: Simplify (+ (* 1 (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (+ (* 0 0) (+ (* 0 (/ -1/48 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 18.269 * [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)))) 18.278 * [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))))) 18.279 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x)) into (* (sqrt (- 1.0 (cos (/ 1 x)))) x) 18.279 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ 1 x)))) x) in (x) around 0 18.279 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ 1 x)))) x) in x 18.279 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 18.279 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 18.279 * [taylor]: Taking taylor expansion of 1.0 in x 18.279 * [backup-simplify]: Simplify 1.0 into 1.0 18.279 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 18.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.280 * [taylor]: Taking taylor expansion of x in x 18.280 * [backup-simplify]: Simplify 0 into 0 18.280 * [backup-simplify]: Simplify 1 into 1 18.280 * [backup-simplify]: Simplify (/ 1 1) into 1 18.280 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 18.281 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 18.281 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 18.282 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 18.282 * [backup-simplify]: Simplify (- 0) into 0 18.283 * [backup-simplify]: Simplify (+ 0 0) into 0 18.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 18.283 * [taylor]: Taking taylor expansion of x in x 18.283 * [backup-simplify]: Simplify 0 into 0 18.283 * [backup-simplify]: Simplify 1 into 1 18.283 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ 1 x)))) x) in x 18.283 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 18.283 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 18.283 * [taylor]: Taking taylor expansion of 1.0 in x 18.283 * [backup-simplify]: Simplify 1.0 into 1.0 18.283 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 18.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.284 * [taylor]: Taking taylor expansion of x in x 18.284 * [backup-simplify]: Simplify 0 into 0 18.284 * [backup-simplify]: Simplify 1 into 1 18.284 * [backup-simplify]: Simplify (/ 1 1) into 1 18.284 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 18.285 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 18.285 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 18.286 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 18.286 * [backup-simplify]: Simplify (- 0) into 0 18.286 * [backup-simplify]: Simplify (+ 0 0) into 0 18.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 18.287 * [taylor]: Taking taylor expansion of x in x 18.287 * [backup-simplify]: Simplify 0 into 0 18.287 * [backup-simplify]: Simplify 1 into 1 18.288 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) into 0 18.288 * [backup-simplify]: Simplify 0 into 0 18.289 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 1) (* 0 0)) into (sqrt (- 1.0 (cos (/ 1 x)))) 18.289 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 18.290 * [backup-simplify]: Simplify (- 0) into 0 18.290 * [backup-simplify]: Simplify (+ 0 0) into 0 18.291 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 18.293 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 1) (* 0 0))) into 0 18.293 * [backup-simplify]: Simplify 0 into 0 18.293 * [backup-simplify]: Simplify (- 0) into 0 18.294 * [backup-simplify]: Simplify (+ 0 0) into 0 18.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 18.297 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.297 * [backup-simplify]: Simplify 0 into 0 18.297 * [backup-simplify]: Simplify (- 0) into 0 18.298 * [backup-simplify]: Simplify (+ 0 0) into 0 18.299 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 18.301 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 18.301 * [backup-simplify]: Simplify 0 into 0 18.302 * [backup-simplify]: Simplify (- 0) into 0 18.302 * [backup-simplify]: Simplify (+ 0 0) into 0 18.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 18.305 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 18.306 * [backup-simplify]: Simplify 0 into 0 18.306 * [backup-simplify]: Simplify (- 0) into 0 18.306 * [backup-simplify]: Simplify (+ 0 0) into 0 18.308 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 18.310 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 18.310 * [backup-simplify]: Simplify 0 into 0 18.311 * [backup-simplify]: Simplify (- 0) into 0 18.311 * [backup-simplify]: Simplify (+ 0 0) into 0 18.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 18.315 * [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 18.315 * [backup-simplify]: Simplify 0 into 0 18.316 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 x)) into (* (/ 1 x) (sqrt (- 1.0 (cos x)))) 18.317 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* x (sqrt (- 1.0 (cos (/ -1 x)))))) 18.317 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (cos (/ -1 x)))))) in (x) around 0 18.317 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (cos (/ -1 x)))))) in x 18.317 * [taylor]: Taking taylor expansion of -1 in x 18.317 * [backup-simplify]: Simplify -1 into -1 18.317 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ -1 x))))) in x 18.317 * [taylor]: Taking taylor expansion of x in x 18.317 * [backup-simplify]: Simplify 0 into 0 18.317 * [backup-simplify]: Simplify 1 into 1 18.317 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 18.317 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 18.317 * [taylor]: Taking taylor expansion of 1.0 in x 18.317 * [backup-simplify]: Simplify 1.0 into 1.0 18.317 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 18.317 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.317 * [taylor]: Taking taylor expansion of -1 in x 18.317 * [backup-simplify]: Simplify -1 into -1 18.317 * [taylor]: Taking taylor expansion of x in x 18.317 * [backup-simplify]: Simplify 0 into 0 18.317 * [backup-simplify]: Simplify 1 into 1 18.318 * [backup-simplify]: Simplify (/ -1 1) into -1 18.318 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 18.318 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 18.319 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 18.319 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 18.320 * [backup-simplify]: Simplify (- 0) into 0 18.320 * [backup-simplify]: Simplify (+ 0 0) into 0 18.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 18.321 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (cos (/ -1 x)))))) in x 18.321 * [taylor]: Taking taylor expansion of -1 in x 18.321 * [backup-simplify]: Simplify -1 into -1 18.321 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ -1 x))))) in x 18.321 * [taylor]: Taking taylor expansion of x in x 18.321 * [backup-simplify]: Simplify 0 into 0 18.321 * [backup-simplify]: Simplify 1 into 1 18.321 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 18.321 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 18.321 * [taylor]: Taking taylor expansion of 1.0 in x 18.321 * [backup-simplify]: Simplify 1.0 into 1.0 18.321 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 18.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.321 * [taylor]: Taking taylor expansion of -1 in x 18.321 * [backup-simplify]: Simplify -1 into -1 18.321 * [taylor]: Taking taylor expansion of x in x 18.321 * [backup-simplify]: Simplify 0 into 0 18.321 * [backup-simplify]: Simplify 1 into 1 18.322 * [backup-simplify]: Simplify (/ -1 1) into -1 18.322 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 18.323 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 18.323 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 18.323 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 18.324 * [backup-simplify]: Simplify (- 0) into 0 18.324 * [backup-simplify]: Simplify (+ 0 0) into 0 18.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 18.325 * [backup-simplify]: Simplify (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) into 0 18.326 * [backup-simplify]: Simplify (* -1 0) into 0 18.326 * [backup-simplify]: Simplify 0 into 0 18.327 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (- 1.0 (cos (/ -1 x)))))) into (sqrt (- 1.0 (cos (/ -1 x)))) 18.328 * [backup-simplify]: Simplify (+ (* -1 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 18.329 * [backup-simplify]: Simplify (- (sqrt (- 1.0 (cos (/ -1 x))))) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 18.329 * [backup-simplify]: Simplify (- 0) into 0 18.329 * [backup-simplify]: Simplify (+ 0 0) into 0 18.331 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 18.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x))))))) into 0 18.334 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))) into 0 18.334 * [backup-simplify]: Simplify 0 into 0 18.335 * [backup-simplify]: Simplify (- 0) into 0 18.335 * [backup-simplify]: Simplify (+ 0 0) into 0 18.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 18.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x)))))))) into 0 18.338 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))) into 0 18.338 * [backup-simplify]: Simplify 0 into 0 18.338 * [backup-simplify]: Simplify (- 0) into 0 18.339 * [backup-simplify]: Simplify (+ 0 0) into 0 18.340 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 18.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x))))))))) into 0 18.342 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))) into 0 18.342 * [backup-simplify]: Simplify 0 into 0 18.343 * [backup-simplify]: Simplify (- 0) into 0 18.343 * [backup-simplify]: Simplify (+ 0 0) into 0 18.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 18.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x)))))))))) into 0 18.347 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))) into 0 18.347 * [backup-simplify]: Simplify 0 into 0 18.348 * [backup-simplify]: Simplify (- 0) into 0 18.348 * [backup-simplify]: Simplify (+ 0 0) into 0 18.349 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 18.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x))))))))))) into 0 18.353 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))))) into 0 18.353 * [backup-simplify]: Simplify 0 into 0 18.353 * [backup-simplify]: Simplify (- 0) into 0 18.354 * [backup-simplify]: Simplify (+ 0 0) into 0 18.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 18.357 * [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 18.359 * [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 18.359 * [backup-simplify]: Simplify 0 into 0 18.360 * [backup-simplify]: Simplify (* (- (sqrt (- 1.0 (cos (/ -1 (/ 1 (- x))))))) (/ 1 (- x))) into (* (/ 1 x) (sqrt (- 1.0 (cos x)))) 18.360 * * * * [progress]: [ 4 / 4 ] generating series at (2) 18.360 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos x))) (/ (/ (sqrt (- 1.0 (cos x))) x) x)) into (/ (- 1.0 (cos x)) (pow x 2)) 18.360 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 18.360 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 18.360 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 18.360 * [taylor]: Taking taylor expansion of 1.0 in x 18.360 * [backup-simplify]: Simplify 1.0 into 1.0 18.360 * [taylor]: Taking taylor expansion of (cos x) in x 18.360 * [taylor]: Taking taylor expansion of x in x 18.360 * [backup-simplify]: Simplify 0 into 0 18.360 * [backup-simplify]: Simplify 1 into 1 18.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.361 * [taylor]: Taking taylor expansion of x in x 18.361 * [backup-simplify]: Simplify 0 into 0 18.361 * [backup-simplify]: Simplify 1 into 1 18.361 * [backup-simplify]: Simplify (- 1) into -1 18.361 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 18.361 * [backup-simplify]: Simplify (+ 0) into 0 18.362 * [backup-simplify]: Simplify (- 0) into 0 18.362 * [backup-simplify]: Simplify (+ 0 0) into 0 18.363 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 18.363 * [backup-simplify]: Simplify (- -1/2) into 1/2 18.363 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 18.363 * [backup-simplify]: Simplify (* 1 1) into 1 18.364 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.364 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 18.364 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 18.364 * [taylor]: Taking taylor expansion of 1.0 in x 18.364 * [backup-simplify]: Simplify 1.0 into 1.0 18.364 * [taylor]: Taking taylor expansion of (cos x) in x 18.364 * [taylor]: Taking taylor expansion of x in x 18.364 * [backup-simplify]: Simplify 0 into 0 18.364 * [backup-simplify]: Simplify 1 into 1 18.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.364 * [taylor]: Taking taylor expansion of x in x 18.364 * [backup-simplify]: Simplify 0 into 0 18.364 * [backup-simplify]: Simplify 1 into 1 18.364 * [backup-simplify]: Simplify (- 1) into -1 18.364 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 18.365 * [backup-simplify]: Simplify (+ 0) into 0 18.365 * [backup-simplify]: Simplify (- 0) into 0 18.365 * [backup-simplify]: Simplify (+ 0 0) into 0 18.366 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 18.366 * [backup-simplify]: Simplify (- -1/2) into 1/2 18.366 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 18.367 * [backup-simplify]: Simplify (* 1 1) into 1 18.367 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.367 * [backup-simplify]: Simplify 1/2 into 1/2 18.368 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.368 * [backup-simplify]: Simplify (- 0) into 0 18.368 * [backup-simplify]: Simplify (+ 0 0) into 0 18.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 18.369 * [backup-simplify]: Simplify 0 into 0 18.371 * [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 18.371 * [backup-simplify]: Simplify (- 1/24) into -1/24 18.371 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 18.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.373 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 18.373 * [backup-simplify]: Simplify -1/24 into -1/24 18.374 * [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 18.375 * [backup-simplify]: Simplify (- 0) into 0 18.375 * [backup-simplify]: Simplify (+ 0 0) into 0 18.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 18.376 * [backup-simplify]: Simplify 0 into 0 18.379 * [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 18.380 * [backup-simplify]: Simplify (- -1/720) into 1/720 18.380 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 18.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.382 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 18.382 * [backup-simplify]: Simplify 1/720 into 1/720 18.382 * [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))) 18.383 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 x)))) (/ (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x)) (/ 1 x))) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 18.383 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 18.383 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 18.383 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 18.383 * [taylor]: Taking taylor expansion of 1.0 in x 18.383 * [backup-simplify]: Simplify 1.0 into 1.0 18.383 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 18.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.383 * [taylor]: Taking taylor expansion of x in x 18.383 * [backup-simplify]: Simplify 0 into 0 18.383 * [backup-simplify]: Simplify 1 into 1 18.384 * [backup-simplify]: Simplify (/ 1 1) into 1 18.384 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 18.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.384 * [taylor]: Taking taylor expansion of x in x 18.384 * [backup-simplify]: Simplify 0 into 0 18.384 * [backup-simplify]: Simplify 1 into 1 18.384 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 18.384 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 18.384 * [taylor]: Taking taylor expansion of 1.0 in x 18.384 * [backup-simplify]: Simplify 1.0 into 1.0 18.384 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 18.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.384 * [taylor]: Taking taylor expansion of x in x 18.384 * [backup-simplify]: Simplify 0 into 0 18.384 * [backup-simplify]: Simplify 1 into 1 18.384 * [backup-simplify]: Simplify (/ 1 1) into 1 18.384 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 18.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.385 * [taylor]: Taking taylor expansion of x in x 18.385 * [backup-simplify]: Simplify 0 into 0 18.385 * [backup-simplify]: Simplify 1 into 1 18.385 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 18.385 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 18.385 * [backup-simplify]: Simplify (* 1 1) into 1 18.386 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 18.386 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 18.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.386 * [backup-simplify]: Simplify (- 0) into 0 18.387 * [backup-simplify]: Simplify (+ 0 0) into 0 18.387 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 18.387 * [backup-simplify]: Simplify 0 into 0 18.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.388 * [backup-simplify]: Simplify (- 0) into 0 18.389 * [backup-simplify]: Simplify (+ 0 0) into 0 18.390 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 18.390 * [backup-simplify]: Simplify 0 into 0 18.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.392 * [backup-simplify]: Simplify (- 0) into 0 18.392 * [backup-simplify]: Simplify (+ 0 0) into 0 18.393 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.393 * [backup-simplify]: Simplify 0 into 0 18.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.395 * [backup-simplify]: Simplify (- 0) into 0 18.396 * [backup-simplify]: Simplify (+ 0 0) into 0 18.398 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.398 * [backup-simplify]: Simplify 0 into 0 18.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.400 * [backup-simplify]: Simplify (- 0) into 0 18.400 * [backup-simplify]: Simplify (+ 0 0) into 0 18.402 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.402 * [backup-simplify]: Simplify 0 into 0 18.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 18.404 * [backup-simplify]: Simplify (- 0) into 0 18.405 * [backup-simplify]: Simplify (+ 0 0) into 0 18.407 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 18.407 * [backup-simplify]: Simplify 0 into 0 18.408 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 18.409 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x))) (/ 1 (- x)))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 18.409 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 18.409 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 18.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.409 * [taylor]: Taking taylor expansion of x in x 18.409 * [backup-simplify]: Simplify 0 into 0 18.409 * [backup-simplify]: Simplify 1 into 1 18.409 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 18.410 * [taylor]: Taking taylor expansion of 1.0 in x 18.410 * [backup-simplify]: Simplify 1.0 into 1.0 18.410 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 18.410 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.410 * [taylor]: Taking taylor expansion of -1 in x 18.410 * [backup-simplify]: Simplify -1 into -1 18.410 * [taylor]: Taking taylor expansion of x in x 18.410 * [backup-simplify]: Simplify 0 into 0 18.410 * [backup-simplify]: Simplify 1 into 1 18.410 * [backup-simplify]: Simplify (/ -1 1) into -1 18.411 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 18.411 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 18.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.411 * [taylor]: Taking taylor expansion of x in x 18.411 * [backup-simplify]: Simplify 0 into 0 18.411 * [backup-simplify]: Simplify 1 into 1 18.411 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 18.411 * [taylor]: Taking taylor expansion of 1.0 in x 18.411 * [backup-simplify]: Simplify 1.0 into 1.0 18.411 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 18.411 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.411 * [taylor]: Taking taylor expansion of -1 in x 18.411 * [backup-simplify]: Simplify -1 into -1 18.411 * [taylor]: Taking taylor expansion of x in x 18.411 * [backup-simplify]: Simplify 0 into 0 18.411 * [backup-simplify]: Simplify 1 into 1 18.412 * [backup-simplify]: Simplify (/ -1 1) into -1 18.412 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 18.412 * [backup-simplify]: Simplify (* 1 1) into 1 18.413 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 18.413 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 18.414 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 18.414 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 18.415 * [backup-simplify]: Simplify (- 0) into 0 18.415 * [backup-simplify]: Simplify (+ 0 0) into 0 18.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 18.417 * [backup-simplify]: Simplify 0 into 0 18.417 * [backup-simplify]: Simplify (- 0) into 0 18.418 * [backup-simplify]: Simplify (+ 0 0) into 0 18.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 18.421 * [backup-simplify]: Simplify 0 into 0 18.421 * [backup-simplify]: Simplify (- 0) into 0 18.421 * [backup-simplify]: Simplify (+ 0 0) into 0 18.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 18.425 * [backup-simplify]: Simplify 0 into 0 18.425 * [backup-simplify]: Simplify (- 0) into 0 18.426 * [backup-simplify]: Simplify (+ 0 0) into 0 18.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 18.430 * [backup-simplify]: Simplify 0 into 0 18.430 * [backup-simplify]: Simplify (- 0) into 0 18.431 * [backup-simplify]: Simplify (+ 0 0) into 0 18.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 18.435 * [backup-simplify]: Simplify 0 into 0 18.436 * [backup-simplify]: Simplify (- 0) into 0 18.436 * [backup-simplify]: Simplify (+ 0 0) into 0 18.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 18.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 18.442 * [backup-simplify]: Simplify 0 into 0 18.443 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 18.443 * * * [progress]: simplifying candidates 18.443 * * * * [progress]: [ 1 / 217 ] simplifiying candidate #real (real->posit16 (- 1.0 (cos x))))) x) x)))> 18.443 * * * * [progress]: [ 2 / 217 ] simplifiying candidate # 18.443 * * * * [progress]: [ 3 / 217 ] simplifiying candidate # 18.443 * * * * [progress]: [ 4 / 217 ] simplifiying candidate # 18.443 * * * * [progress]: [ 5 / 217 ] simplifiying candidate # 18.443 * * * * [progress]: [ 6 / 217 ] simplifiying candidate # 18.443 * * * * [progress]: [ 7 / 217 ] simplifiying candidate # 18.444 * * * * [progress]: [ 8 / 217 ] simplifiying candidate # 18.444 * * * * [progress]: [ 9 / 217 ] simplifiying candidate # 18.444 * * * * [progress]: [ 10 / 217 ] simplifiying candidate # 18.444 * * * * [progress]: [ 11 / 217 ] simplifiying candidate # 18.444 * * * * [progress]: [ 12 / 217 ] simplifiying candidate # 18.444 * * * * [progress]: [ 13 / 217 ] simplifiying candidate # 18.444 * * * * [progress]: [ 14 / 217 ] simplifiying candidate # 18.444 * * * * [progress]: [ 15 / 217 ] simplifiying candidate # 18.444 * * * * [progress]: [ 16 / 217 ] simplifiying candidate #real (real->posit16 (- 1.0 (cos x))))) (/ (/ (sqrt (- 1.0 (cos x))) x) x)))> 18.444 * * * * [progress]: [ 17 / 217 ] simplifiying candidate # 18.444 * * * * [progress]: [ 18 / 217 ] simplifiying candidate # 18.444 * * * * [progress]: [ 19 / 217 ] simplifiying candidate # 18.444 * * * * [progress]: [ 20 / 217 ] simplifiying candidate # 18.444 * * * * [progress]: [ 21 / 217 ] simplifiying candidate # 18.444 * * * * [progress]: [ 22 / 217 ] simplifiying candidate # 18.445 * * * * [progress]: [ 23 / 217 ] simplifiying candidate # 18.445 * * * * [progress]: [ 24 / 217 ] simplifiying candidate # 18.445 * * * * [progress]: [ 25 / 217 ] simplifiying candidate # 18.445 * * * * [progress]: [ 26 / 217 ] simplifiying candidate # 18.445 * * * * [progress]: [ 27 / 217 ] simplifiying candidate # 18.445 * * * * [progress]: [ 28 / 217 ] simplifiying candidate # 18.445 * * * * [progress]: [ 29 / 217 ] simplifiying candidate # 18.445 * * * * [progress]: [ 30 / 217 ] simplifiying candidate # 18.445 * * * * [progress]: [ 31 / 217 ] simplifiying candidate #real (real->posit16 (/ (sqrt (- 1.0 (cos x))) x))) x)))> 18.445 * * * * [progress]: [ 32 / 217 ] simplifiying candidate # 18.445 * * * * [progress]: [ 33 / 217 ] simplifiying candidate # 18.445 * * * * [progress]: [ 34 / 217 ] simplifiying candidate # 18.445 * * * * [progress]: [ 35 / 217 ] simplifiying candidate # 18.445 * * * * [progress]: [ 36 / 217 ] simplifiying candidate # 18.446 * * * * [progress]: [ 37 / 217 ] simplifiying candidate # 18.446 * * * * [progress]: [ 38 / 217 ] simplifiying candidate # 18.446 * * * * [progress]: [ 39 / 217 ] simplifiying candidate # 18.446 * * * * [progress]: [ 40 / 217 ] simplifiying candidate # 18.446 * * * * [progress]: [ 41 / 217 ] simplifiying candidate # 18.446 * * * * [progress]: [ 42 / 217 ] simplifiying candidate # 18.446 * * * * [progress]: [ 43 / 217 ] simplifiying candidate # 18.448 * * * * [progress]: [ 44 / 217 ] simplifiying candidate # 18.448 * * * * [progress]: [ 45 / 217 ] simplifiying candidate # 18.448 * * * * [progress]: [ 46 / 217 ] simplifiying candidate # 18.449 * * * * [progress]: [ 47 / 217 ] simplifiying candidate # 18.449 * * * * [progress]: [ 48 / 217 ] simplifiying candidate # 18.449 * * * * [progress]: [ 49 / 217 ] simplifiying candidate # 18.449 * * * * [progress]: [ 50 / 217 ] simplifiying candidate # 18.449 * * * * [progress]: [ 51 / 217 ] simplifiying candidate # 18.449 * * * * [progress]: [ 52 / 217 ] simplifiying candidate # 18.449 * * * * 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Simplifying: (real->posit16 (- 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)) (real->posit16 (- 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))) (- 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1) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 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)))) 1) (/ (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 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))) 1) (/ 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 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(pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 18.480 * * [simplify]: iteration 0: 310 enodes 18.888 * * [simplify]: iteration 1: 824 enodes 19.974 * * [simplify]: iteration 2: 2451 enodes 22.334 * * [simplify]: iteration complete: 5067 enodes 22.335 * * [simplify]: Extracting #0: cost 123 inf + 0 22.341 * * [simplify]: Extracting #1: cost 1546 inf + 1 22.353 * * [simplify]: Extracting #2: cost 1944 inf + 4998 22.371 * * [simplify]: Extracting #3: cost 1576 inf + 92420 22.462 * * [simplify]: Extracting #4: cost 434 inf + 441889 22.603 * * [simplify]: Extracting #5: cost 19 inf + 600350 22.761 * * [simplify]: Extracting #6: cost 0 inf + 608201 22.956 * [simplify]: Simplified to: (real->posit16 (- 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 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(sqrt (- 1.0 (cos x))) (fabs (cbrt (- 1.0 (cos x))))) (/ (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (sqrt (- 1.0 (cos x))))) x) (/ (sqrt (- 1.0 (cos x))) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (* (sqrt (- 1.0 (cos x))) (sqrt (sqrt (- 1.0 (cos x))))) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (sqrt 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 (+ (sqrt 1.0) (sqrt (cos x))))) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (/ (/ (sqrt (- 1.0 (cos x))) (/ (sqrt x) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))))) (* (cbrt x) (cbrt x))) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (/ (sqrt x) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))))) (* (cbrt x) (cbrt x))) (* (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) x) (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (/ (sqrt x) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))))) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (/ (sqrt x) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))))) (* (sqrt (- 1.0 (cos x))) (sqrt (+ (sqrt 1.0) (sqrt (cos x))))) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (sqrt (- 1.0 (cos x))))) x) (/ (sqrt (- 1.0 (cos x))) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (* (sqrt (- 1.0 (cos x))) (sqrt (sqrt (- 1.0 (cos x))))) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (sqrt 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))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (sqrt (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (* (cbrt (sqrt (- 1.0 (cos x)))) (/ (/ (sqrt (- 1.0 (cos x))) x) x)) (* (sqrt (cbrt (- 1.0 (cos x)))) (/ (/ (sqrt (- 1.0 (cos x))) x) x)) (/ (* (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) x)) x) (/ (/ (- 1.0 (cos x)) x) x) (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (/ (- 1.0 (cos x)) x) x) (/ (* (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) x)) x) (/ (/ (- 1.0 (cos x)) x) x) (/ (- 1.0 (cos x)) x) (/ (* (sqrt (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x))))) (sqrt (- 1.0 (cos x)))) (* x x)) (/ (sqrt (* (- 1.0 (cos x)) (+ 1.0 (cos x)))) (/ x (/ (sqrt (- 1.0 (cos x))) x))) (+ (* 1/720 (* (* x (* x x)) (* x (* x x)))) (- (* (* x x) 1/2) (* (* (* x x) (* 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) (* x x)) 1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/1440 (/ (* (* x x) (* x x)) (sqrt 1/2))) (- (sqrt 1/2) (+ (* 1/2304 (/ (* (* x x) (* x x)) (sqrt 1/2))) (/ (* (* x x) 1/48) (sqrt 1/2))))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (+ (+ 1/2 (* 1/720 (* (* x x) (* x x)))) (* -1/24 (* x x))) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) 22.978 * * * [progress]: adding candidates to table 24.642 * [progress]: [Phase 3 of 3] Extracting. 24.642 * * [regime]: Finding splitpoints for: (# # # # # # # #) 24.647 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 24.647 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # #) 24.801 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 24.984 * * * [regime]: Found split indices: #