0.548 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.435 * * * [progress]: [2/2] Setting up program.
0.438 * [progress]: [Phase 2 of 3] Improving.
0.440 * [simplify]: Simplifying:
  (/ (- x (sin x)) (- x (tan x)))
0.468 * * [progress]: iteration 1 / 4
0.468 * * * [progress]: picking best candidate
0.470 * * * * [pick]: Picked  #<alt (λ (x) (/ (- x (sin x)) (- x (tan x))))>
0.470 * * * [progress]: localizing error
0.482 * * * [progress]: generating rewritten candidates
0.482 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
0.492 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.501 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
0.599 * * * [progress]: generating series expansions
0.599 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
0.602 * [backup-simplify]: Simplify (- x (sin x)) into (- x (sin x))
0.602 * [approximate]: Taking taylor expansion of (- x (sin x)) in (x) around 0
0.603 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
0.603 * [taylor]: Taking taylor expansion of x in x
0.603 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify 1 into 1
0.603 * [taylor]: Taking taylor expansion of (sin x) in x
0.603 * [taylor]: Taking taylor expansion of x in x
0.603 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify 1 into 1
0.603 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
0.603 * [taylor]: Taking taylor expansion of x in x
0.603 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify 1 into 1
0.603 * [taylor]: Taking taylor expansion of (sin x) in x
0.603 * [taylor]: Taking taylor expansion of x in x
0.603 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify 1 into 1
0.604 * [backup-simplify]: Simplify (- 0) into 0
0.605 * [backup-simplify]: Simplify (+ 0 0) into 0
0.605 * [backup-simplify]: Simplify 0 into 0
0.606 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.606 * [backup-simplify]: Simplify (- 1) into -1
0.606 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.606 * [backup-simplify]: Simplify 0 into 0
0.607 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.607 * [backup-simplify]: Simplify (- 0) into 0
0.607 * [backup-simplify]: Simplify (+ 0 0) into 0
0.607 * [backup-simplify]: Simplify 0 into 0
0.608 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.608 * [backup-simplify]: Simplify (- -1/6) into 1/6
0.609 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
0.609 * [backup-simplify]: Simplify 1/6 into 1/6
0.610 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.610 * [backup-simplify]: Simplify (- 0) into 0
0.610 * [backup-simplify]: Simplify (+ 0 0) into 0
0.610 * [backup-simplify]: Simplify 0 into 0
0.612 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
0.613 * [backup-simplify]: Simplify (- 1/120) into -1/120
0.613 * [backup-simplify]: Simplify (+ 0 -1/120) into -1/120
0.613 * [backup-simplify]: Simplify -1/120 into -1/120
0.615 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.616 * [backup-simplify]: Simplify (- 0) into 0
0.616 * [backup-simplify]: Simplify (+ 0 0) into 0
0.616 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
0.620 * [backup-simplify]: Simplify (- -1/5040) into 1/5040
0.621 * [backup-simplify]: Simplify (+ 0 1/5040) into 1/5040
0.621 * [backup-simplify]: Simplify 1/5040 into 1/5040
0.623 * [backup-simplify]: Simplify (+ (* 1/5040 (pow x 7)) (+ (* -1/120 (pow x 5)) (* 1/6 (pow x 3)))) into (- (+ (* 1/5040 (pow x 7)) (* 1/6 (pow x 3))) (* 1/120 (pow x 5)))
0.623 * [backup-simplify]: Simplify (- (/ 1 x) (sin (/ 1 x))) into (- (/ 1 x) (sin (/ 1 x)))
0.623 * [approximate]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in (x) around 0
0.623 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.624 * [taylor]: Taking taylor expansion of x in x
0.624 * [backup-simplify]: Simplify 0 into 0
0.624 * [backup-simplify]: Simplify 1 into 1
0.624 * [backup-simplify]: Simplify (/ 1 1) into 1
0.624 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.624 * [taylor]: Taking taylor expansion of x in x
0.624 * [backup-simplify]: Simplify 0 into 0
0.624 * [backup-simplify]: Simplify 1 into 1
0.624 * [backup-simplify]: Simplify (/ 1 1) into 1
0.624 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.624 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.625 * [taylor]: Taking taylor expansion of x in x
0.625 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify 1 into 1
0.625 * [backup-simplify]: Simplify (/ 1 1) into 1
0.625 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.625 * [taylor]: Taking taylor expansion of x in x
0.625 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify 1 into 1
0.625 * [backup-simplify]: Simplify (/ 1 1) into 1
0.625 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.626 * [backup-simplify]: Simplify (+ 1 0) into 1
0.626 * [backup-simplify]: Simplify 1 into 1
0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.626 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
0.626 * [backup-simplify]: Simplify (+ 0 (- (sin (/ 1 x)))) into (- (sin (/ 1 x)))
0.626 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
0.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.627 * [backup-simplify]: Simplify (- 0) into 0
0.627 * [backup-simplify]: Simplify (+ 0 0) into 0
0.627 * [backup-simplify]: Simplify 0 into 0
0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.628 * [backup-simplify]: Simplify (- 0) into 0
0.628 * [backup-simplify]: Simplify (+ 0 0) into 0
0.628 * [backup-simplify]: Simplify 0 into 0
0.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.629 * [backup-simplify]: Simplify (- 0) into 0
0.629 * [backup-simplify]: Simplify (+ 0 0) into 0
0.629 * [backup-simplify]: Simplify 0 into 0
0.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.630 * [backup-simplify]: Simplify (- 0) into 0
0.630 * [backup-simplify]: Simplify (+ 0 0) into 0
0.630 * [backup-simplify]: Simplify 0 into 0
0.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.631 * [backup-simplify]: Simplify (- 0) into 0
0.631 * [backup-simplify]: Simplify (+ 0 0) into 0
0.631 * [backup-simplify]: Simplify 0 into 0
0.632 * [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
0.632 * [backup-simplify]: Simplify (- 0) into 0
0.632 * [backup-simplify]: Simplify (+ 0 0) into 0
0.632 * [backup-simplify]: Simplify 0 into 0
0.633 * [backup-simplify]: Simplify (+ (- (sin (/ 1 (/ 1 x)))) (* 1 (/ 1 (/ 1 x)))) into (- x (sin x))
0.633 * [backup-simplify]: Simplify (- (/ 1 (- x)) (sin (/ 1 (- x)))) into (- (+ (sin (/ -1 x)) (/ 1 x)))
0.633 * [approximate]: Taking taylor expansion of (- (+ (sin (/ -1 x)) (/ 1 x))) in (x) around 0
0.633 * [taylor]: Taking taylor expansion of (- (+ (sin (/ -1 x)) (/ 1 x))) in x
0.633 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
0.633 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.633 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.633 * [taylor]: Taking taylor expansion of -1 in x
0.633 * [backup-simplify]: Simplify -1 into -1
0.633 * [taylor]: Taking taylor expansion of x in x
0.633 * [backup-simplify]: Simplify 0 into 0
0.633 * [backup-simplify]: Simplify 1 into 1
0.633 * [backup-simplify]: Simplify (/ -1 1) into -1
0.633 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.633 * [taylor]: Taking taylor expansion of x in x
0.634 * [backup-simplify]: Simplify 0 into 0
0.634 * [backup-simplify]: Simplify 1 into 1
0.634 * [backup-simplify]: Simplify (/ 1 1) into 1
0.634 * [taylor]: Taking taylor expansion of (- (+ (sin (/ -1 x)) (/ 1 x))) in x
0.634 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
0.634 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.634 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.634 * [taylor]: Taking taylor expansion of -1 in x
0.634 * [backup-simplify]: Simplify -1 into -1
0.634 * [taylor]: Taking taylor expansion of x in x
0.634 * [backup-simplify]: Simplify 0 into 0
0.634 * [backup-simplify]: Simplify 1 into 1
0.634 * [backup-simplify]: Simplify (/ -1 1) into -1
0.634 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.634 * [taylor]: Taking taylor expansion of x in x
0.634 * [backup-simplify]: Simplify 0 into 0
0.634 * [backup-simplify]: Simplify 1 into 1
0.635 * [backup-simplify]: Simplify (/ 1 1) into 1
0.635 * [backup-simplify]: Simplify (+ 0 1) into 1
0.636 * [backup-simplify]: Simplify (- 1) into -1
0.636 * [backup-simplify]: Simplify -1 into -1
0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.637 * [backup-simplify]: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x))
0.637 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
0.637 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
0.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.638 * [backup-simplify]: Simplify (+ 0 0) into 0
0.639 * [backup-simplify]: Simplify (- 0) into 0
0.639 * [backup-simplify]: Simplify 0 into 0
0.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.640 * [backup-simplify]: Simplify (+ 0 0) into 0
0.640 * [backup-simplify]: Simplify (- 0) into 0
0.640 * [backup-simplify]: Simplify 0 into 0
0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.642 * [backup-simplify]: Simplify (+ 0 0) into 0
0.642 * [backup-simplify]: Simplify (- 0) into 0
0.642 * [backup-simplify]: Simplify 0 into 0
0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.643 * [backup-simplify]: Simplify (+ 0 0) into 0
0.644 * [backup-simplify]: Simplify (- 0) into 0
0.644 * [backup-simplify]: Simplify 0 into 0
0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.645 * [backup-simplify]: Simplify (+ 0 0) into 0
0.645 * [backup-simplify]: Simplify (- 0) into 0
0.645 * [backup-simplify]: Simplify 0 into 0
0.646 * [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
0.647 * [backup-simplify]: Simplify (+ 0 0) into 0
0.647 * [backup-simplify]: Simplify (- 0) into 0
0.647 * [backup-simplify]: Simplify 0 into 0
0.648 * [backup-simplify]: Simplify (+ (- (sin (/ -1 (/ 1 (- x))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (sin x))
0.648 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.648 * [backup-simplify]: Simplify (- x (tan x)) into (- x (tan x))
0.648 * [approximate]: Taking taylor expansion of (- x (tan x)) in (x) around 0
0.648 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
0.648 * [taylor]: Taking taylor expansion of x in x
0.648 * [backup-simplify]: Simplify 0 into 0
0.648 * [backup-simplify]: Simplify 1 into 1
0.648 * [taylor]: Taking taylor expansion of (tan x) in x
0.650 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.650 * [taylor]: Taking taylor expansion of (sin x) in x
0.650 * [taylor]: Taking taylor expansion of x in x
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify 1 into 1
0.650 * [taylor]: Taking taylor expansion of (cos x) in x
0.650 * [taylor]: Taking taylor expansion of x in x
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify 1 into 1
0.651 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.651 * [backup-simplify]: Simplify (/ 1 1) into 1
0.651 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
0.651 * [taylor]: Taking taylor expansion of x in x
0.651 * [backup-simplify]: Simplify 0 into 0
0.652 * [backup-simplify]: Simplify 1 into 1
0.652 * [taylor]: Taking taylor expansion of (tan x) in x
0.652 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.652 * [taylor]: Taking taylor expansion of (sin x) in x
0.652 * [taylor]: Taking taylor expansion of x in x
0.652 * [backup-simplify]: Simplify 0 into 0
0.652 * [backup-simplify]: Simplify 1 into 1
0.652 * [taylor]: Taking taylor expansion of (cos x) in x
0.652 * [taylor]: Taking taylor expansion of x in x
0.652 * [backup-simplify]: Simplify 0 into 0
0.652 * [backup-simplify]: Simplify 1 into 1
0.653 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.653 * [backup-simplify]: Simplify (/ 1 1) into 1
0.653 * [backup-simplify]: Simplify (+ 0 0) into 0
0.653 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify (- 1) into -1
0.654 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.654 * [backup-simplify]: Simplify 0 into 0
0.655 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.656 * [backup-simplify]: Simplify (+ 0) into 0
0.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.657 * [backup-simplify]: Simplify (- 0) into 0
0.658 * [backup-simplify]: Simplify (+ 0 0) into 0
0.658 * [backup-simplify]: Simplify 0 into 0
0.659 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.660 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.662 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
0.662 * [backup-simplify]: Simplify (- 1/3) into -1/3
0.663 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
0.663 * [backup-simplify]: Simplify -1/3 into -1/3
0.664 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.665 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
0.667 * [backup-simplify]: Simplify (- 0) into 0
0.668 * [backup-simplify]: Simplify (+ 0 0) into 0
0.668 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
0.675 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
0.687 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
0.688 * [backup-simplify]: Simplify (- 2/15) into -2/15
0.688 * [backup-simplify]: Simplify (+ 0 -2/15) into -2/15
0.688 * [backup-simplify]: Simplify -2/15 into -2/15
0.693 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.695 * [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
0.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ -1/2 1)) (* 2/15 (/ 0 1)))) into 0
0.698 * [backup-simplify]: Simplify (- 0) into 0
0.698 * [backup-simplify]: Simplify (+ 0 0) into 0
0.698 * [backup-simplify]: Simplify 0 into 0
0.706 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
0.712 * [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
0.715 * [backup-simplify]: Simplify (- (/ -1/5040 1) (+ (* 1 (/ -1/720 1)) (* 0 (/ 0 1)) (* 1/3 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/15 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/315
0.715 * [backup-simplify]: Simplify (- 17/315) into -17/315
0.716 * [backup-simplify]: Simplify (+ 0 -17/315) into -17/315
0.716 * [backup-simplify]: Simplify -17/315 into -17/315
0.716 * [backup-simplify]: Simplify (+ (* -17/315 (pow x 7)) (+ (* -2/15 (pow x 5)) (* -1/3 (pow x 3)))) into (- (+ (* 17/315 (pow x 7)) (+ (* 1/3 (pow x 3)) (* 2/15 (pow x 5)))))
0.717 * [backup-simplify]: Simplify (- (/ 1 x) (tan (/ 1 x))) into (- (/ 1 x) (tan (/ 1 x)))
0.717 * [approximate]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in (x) around 0
0.717 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.717 * [taylor]: Taking taylor expansion of x in x
0.717 * [backup-simplify]: Simplify 0 into 0
0.717 * [backup-simplify]: Simplify 1 into 1
0.717 * [backup-simplify]: Simplify (/ 1 1) into 1
0.717 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.717 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.717 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.717 * [taylor]: Taking taylor expansion of x in x
0.718 * [backup-simplify]: Simplify 0 into 0
0.718 * [backup-simplify]: Simplify 1 into 1
0.718 * [backup-simplify]: Simplify (/ 1 1) into 1
0.718 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.718 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.718 * [taylor]: Taking taylor expansion of x in x
0.718 * [backup-simplify]: Simplify 0 into 0
0.718 * [backup-simplify]: Simplify 1 into 1
0.719 * [backup-simplify]: Simplify (/ 1 1) into 1
0.719 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.719 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.719 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
0.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.719 * [taylor]: Taking taylor expansion of x in x
0.719 * [backup-simplify]: Simplify 0 into 0
0.719 * [backup-simplify]: Simplify 1 into 1
0.720 * [backup-simplify]: Simplify (/ 1 1) into 1
0.720 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.720 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.720 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.720 * [taylor]: Taking taylor expansion of x in x
0.720 * [backup-simplify]: Simplify 0 into 0
0.720 * [backup-simplify]: Simplify 1 into 1
0.720 * [backup-simplify]: Simplify (/ 1 1) into 1
0.720 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.721 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.721 * [taylor]: Taking taylor expansion of x in x
0.721 * [backup-simplify]: Simplify 0 into 0
0.721 * [backup-simplify]: Simplify 1 into 1
0.721 * [backup-simplify]: Simplify (/ 1 1) into 1
0.721 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.721 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.722 * [backup-simplify]: Simplify (+ 1 0) into 1
0.722 * [backup-simplify]: Simplify 1 into 1
0.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.723 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
0.723 * [backup-simplify]: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
0.723 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.724 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
0.725 * [backup-simplify]: Simplify (- 0) into 0
0.725 * [backup-simplify]: Simplify (+ 0 0) into 0
0.725 * [backup-simplify]: Simplify 0 into 0
0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.727 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.727 * [backup-simplify]: Simplify (- 0) into 0
0.727 * [backup-simplify]: Simplify (+ 0 0) into 0
0.727 * [backup-simplify]: Simplify 0 into 0
0.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.729 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.730 * [backup-simplify]: Simplify (- 0) into 0
0.730 * [backup-simplify]: Simplify (+ 0 0) into 0
0.730 * [backup-simplify]: Simplify 0 into 0
0.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.732 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.732 * [backup-simplify]: Simplify (- 0) into 0
0.732 * [backup-simplify]: Simplify (+ 0 0) into 0
0.732 * [backup-simplify]: Simplify 0 into 0
0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.734 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.735 * [backup-simplify]: Simplify (- 0) into 0
0.735 * [backup-simplify]: Simplify (+ 0 0) into 0
0.735 * [backup-simplify]: Simplify 0 into 0
0.736 * [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
0.737 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.737 * [backup-simplify]: Simplify (- 0) into 0
0.737 * [backup-simplify]: Simplify (+ 0 0) into 0
0.737 * [backup-simplify]: Simplify 0 into 0
0.738 * [backup-simplify]: Simplify (+ (- (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x))))) (* 1 (/ 1 (/ 1 x)))) into (- x (/ (sin x) (cos x)))
0.738 * [backup-simplify]: Simplify (- (/ 1 (- x)) (tan (/ 1 (- x)))) into (- (+ (tan (/ -1 x)) (/ 1 x)))
0.738 * [approximate]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in (x) around 0
0.738 * [taylor]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in x
0.738 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
0.738 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.738 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.738 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.738 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.738 * [taylor]: Taking taylor expansion of -1 in x
0.738 * [backup-simplify]: Simplify -1 into -1
0.739 * [taylor]: Taking taylor expansion of x in x
0.739 * [backup-simplify]: Simplify 0 into 0
0.739 * [backup-simplify]: Simplify 1 into 1
0.739 * [backup-simplify]: Simplify (/ -1 1) into -1
0.739 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.739 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.739 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.739 * [taylor]: Taking taylor expansion of -1 in x
0.739 * [backup-simplify]: Simplify -1 into -1
0.739 * [taylor]: Taking taylor expansion of x in x
0.739 * [backup-simplify]: Simplify 0 into 0
0.739 * [backup-simplify]: Simplify 1 into 1
0.740 * [backup-simplify]: Simplify (/ -1 1) into -1
0.740 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.740 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.740 * [taylor]: Taking taylor expansion of x in x
0.740 * [backup-simplify]: Simplify 0 into 0
0.740 * [backup-simplify]: Simplify 1 into 1
0.741 * [backup-simplify]: Simplify (/ 1 1) into 1
0.741 * [taylor]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in x
0.741 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
0.741 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.741 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.741 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.741 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.741 * [taylor]: Taking taylor expansion of -1 in x
0.741 * [backup-simplify]: Simplify -1 into -1
0.741 * [taylor]: Taking taylor expansion of x in x
0.741 * [backup-simplify]: Simplify 0 into 0
0.741 * [backup-simplify]: Simplify 1 into 1
0.741 * [backup-simplify]: Simplify (/ -1 1) into -1
0.741 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.742 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.742 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.742 * [taylor]: Taking taylor expansion of -1 in x
0.742 * [backup-simplify]: Simplify -1 into -1
0.742 * [taylor]: Taking taylor expansion of x in x
0.742 * [backup-simplify]: Simplify 0 into 0
0.742 * [backup-simplify]: Simplify 1 into 1
0.742 * [backup-simplify]: Simplify (/ -1 1) into -1
0.742 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.742 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.742 * [taylor]: Taking taylor expansion of x in x
0.743 * [backup-simplify]: Simplify 0 into 0
0.743 * [backup-simplify]: Simplify 1 into 1
0.743 * [backup-simplify]: Simplify (/ 1 1) into 1
0.743 * [backup-simplify]: Simplify (+ 0 1) into 1
0.744 * [backup-simplify]: Simplify (- 1) into -1
0.744 * [backup-simplify]: Simplify -1 into -1
0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.745 * [backup-simplify]: Simplify (+ (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.745 * [backup-simplify]: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x))))
0.745 * [backup-simplify]: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x))))
0.746 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.747 * [backup-simplify]: Simplify (+ 0 0) into 0
0.747 * [backup-simplify]: Simplify (- 0) into 0
0.747 * [backup-simplify]: Simplify 0 into 0
0.748 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.749 * [backup-simplify]: Simplify (+ 0 0) into 0
0.749 * [backup-simplify]: Simplify (- 0) into 0
0.749 * [backup-simplify]: Simplify 0 into 0
0.750 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.751 * [backup-simplify]: Simplify (+ 0 0) into 0
0.752 * [backup-simplify]: Simplify (- 0) into 0
0.752 * [backup-simplify]: Simplify 0 into 0
0.752 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.754 * [backup-simplify]: Simplify (+ 0 0) into 0
0.754 * [backup-simplify]: Simplify (- 0) into 0
0.754 * [backup-simplify]: Simplify 0 into 0
0.755 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.756 * [backup-simplify]: Simplify (+ 0 0) into 0
0.757 * [backup-simplify]: Simplify (- 0) into 0
0.757 * [backup-simplify]: Simplify 0 into 0
0.757 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.758 * [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
0.759 * [backup-simplify]: Simplify (+ 0 0) into 0
0.759 * [backup-simplify]: Simplify (- 0) into 0
0.759 * [backup-simplify]: Simplify 0 into 0
0.759 * [backup-simplify]: Simplify (+ (- (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (/ (sin x) (cos x)))
0.760 * * * * [progress]: [ 3 / 3 ] generating series at (2)
0.760 * [backup-simplify]: Simplify (/ (- x (sin x)) (- x (tan x))) into (/ (- x (sin x)) (- x (tan x)))
0.760 * [approximate]: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in (x) around 0
0.760 * [taylor]: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in x
0.760 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
0.760 * [taylor]: Taking taylor expansion of x in x
0.760 * [backup-simplify]: Simplify 0 into 0
0.760 * [backup-simplify]: Simplify 1 into 1
0.760 * [taylor]: Taking taylor expansion of (sin x) in x
0.760 * [taylor]: Taking taylor expansion of x in x
0.760 * [backup-simplify]: Simplify 0 into 0
0.760 * [backup-simplify]: Simplify 1 into 1
0.760 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
0.760 * [taylor]: Taking taylor expansion of x in x
0.760 * [backup-simplify]: Simplify 0 into 0
0.760 * [backup-simplify]: Simplify 1 into 1
0.760 * [taylor]: Taking taylor expansion of (tan x) in x
0.760 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.760 * [taylor]: Taking taylor expansion of (sin x) in x
0.760 * [taylor]: Taking taylor expansion of x in x
0.760 * [backup-simplify]: Simplify 0 into 0
0.761 * [backup-simplify]: Simplify 1 into 1
0.761 * [taylor]: Taking taylor expansion of (cos x) in x
0.761 * [taylor]: Taking taylor expansion of x in x
0.761 * [backup-simplify]: Simplify 0 into 0
0.761 * [backup-simplify]: Simplify 1 into 1
0.761 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.762 * [backup-simplify]: Simplify (/ 1 1) into 1
0.762 * [backup-simplify]: Simplify (- 0) into 0
0.762 * [backup-simplify]: Simplify (+ 0 0) into 0
0.763 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.764 * [backup-simplify]: Simplify (- 1) into -1
0.764 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.765 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.765 * [backup-simplify]: Simplify (- 0) into 0
0.765 * [backup-simplify]: Simplify (+ 0 0) into 0
0.767 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.767 * [backup-simplify]: Simplify (- -1/6) into 1/6
0.768 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
0.768 * [backup-simplify]: Simplify (+ 0 0) into 0
0.769 * [backup-simplify]: Simplify (- 1) into -1
0.769 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.770 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.770 * [backup-simplify]: Simplify (+ 0) into 0
0.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.772 * [backup-simplify]: Simplify (- 0) into 0
0.772 * [backup-simplify]: Simplify (+ 0 0) into 0
0.773 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.774 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.776 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
0.776 * [backup-simplify]: Simplify (- 1/3) into -1/3
0.777 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
0.777 * [backup-simplify]: Simplify (/ 1/6 -1/3) into -1/2
0.777 * [taylor]: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in x
0.777 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
0.777 * [taylor]: Taking taylor expansion of x in x
0.777 * [backup-simplify]: Simplify 0 into 0
0.777 * [backup-simplify]: Simplify 1 into 1
0.777 * [taylor]: Taking taylor expansion of (sin x) in x
0.777 * [taylor]: Taking taylor expansion of x in x
0.777 * [backup-simplify]: Simplify 0 into 0
0.777 * [backup-simplify]: Simplify 1 into 1
0.777 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
0.777 * [taylor]: Taking taylor expansion of x in x
0.777 * [backup-simplify]: Simplify 0 into 0
0.777 * [backup-simplify]: Simplify 1 into 1
0.777 * [taylor]: Taking taylor expansion of (tan x) in x
0.778 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.778 * [taylor]: Taking taylor expansion of (sin x) in x
0.778 * [taylor]: Taking taylor expansion of x in x
0.778 * [backup-simplify]: Simplify 0 into 0
0.778 * [backup-simplify]: Simplify 1 into 1
0.778 * [taylor]: Taking taylor expansion of (cos x) in x
0.778 * [taylor]: Taking taylor expansion of x in x
0.778 * [backup-simplify]: Simplify 0 into 0
0.778 * [backup-simplify]: Simplify 1 into 1
0.778 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.779 * [backup-simplify]: Simplify (/ 1 1) into 1
0.779 * [backup-simplify]: Simplify (- 0) into 0
0.779 * [backup-simplify]: Simplify (+ 0 0) into 0
0.779 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.780 * [backup-simplify]: Simplify (- 1) into -1
0.780 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.780 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.781 * [backup-simplify]: Simplify (- 0) into 0
0.781 * [backup-simplify]: Simplify (+ 0 0) into 0
0.782 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.782 * [backup-simplify]: Simplify (- -1/6) into 1/6
0.782 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
0.783 * [backup-simplify]: Simplify (+ 0 0) into 0
0.783 * [backup-simplify]: Simplify (- 1) into -1
0.783 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.783 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.784 * [backup-simplify]: Simplify (+ 0) into 0
0.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.784 * [backup-simplify]: Simplify (- 0) into 0
0.785 * [backup-simplify]: Simplify (+ 0 0) into 0
0.785 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.786 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.787 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
0.787 * [backup-simplify]: Simplify (- 1/3) into -1/3
0.787 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
0.788 * [backup-simplify]: Simplify (/ 1/6 -1/3) into -1/2
0.788 * [backup-simplify]: Simplify -1/2 into -1/2
0.789 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.789 * [backup-simplify]: Simplify (- 0) into 0
0.789 * [backup-simplify]: Simplify (+ 0 0) into 0
0.790 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.791 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
0.792 * [backup-simplify]: Simplify (- 0) into 0
0.792 * [backup-simplify]: Simplify (+ 0 0) into 0
0.792 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -1/2 (/ 0 -1/3)))) into 0
0.792 * [backup-simplify]: Simplify 0 into 0
0.794 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
0.795 * [backup-simplify]: Simplify (- 1/120) into -1/120
0.795 * [backup-simplify]: Simplify (+ 0 -1/120) into -1/120
0.797 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
0.798 * [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
0.799 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
0.800 * [backup-simplify]: Simplify (- 2/15) into -2/15
0.800 * [backup-simplify]: Simplify (+ 0 -2/15) into -2/15
0.801 * [backup-simplify]: Simplify (- (/ -1/120 -1/3) (+ (* -1/2 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 9/40
0.801 * [backup-simplify]: Simplify 9/40 into 9/40
0.803 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.803 * [backup-simplify]: Simplify (- 0) into 0
0.804 * [backup-simplify]: Simplify (+ 0 0) into 0
0.806 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.808 * [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
0.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ -1/2 1)) (* 2/15 (/ 0 1)))) into 0
0.811 * [backup-simplify]: Simplify (- 0) into 0
0.811 * [backup-simplify]: Simplify (+ 0 0) into 0
0.813 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -1/2 (/ 0 -1/3)) (* 0 (/ -2/15 -1/3)) (* 9/40 (/ 0 -1/3)))) into 0
0.813 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
0.828 * [backup-simplify]: Simplify (- -1/5040) into 1/5040
0.828 * [backup-simplify]: Simplify (+ 0 1/5040) into 1/5040
0.835 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
0.841 * [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
0.844 * [backup-simplify]: Simplify (- (/ -1/5040 1) (+ (* 1 (/ -1/720 1)) (* 0 (/ 0 1)) (* 1/3 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/15 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/315
0.844 * [backup-simplify]: Simplify (- 17/315) into -17/315
0.845 * [backup-simplify]: Simplify (+ 0 -17/315) into -17/315
0.847 * [backup-simplify]: Simplify (- (/ 1/5040 -1/3) (+ (* -1/2 (/ -17/315 -1/3)) (* 0 (/ 0 -1/3)) (* 9/40 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into -27/2800
0.847 * [backup-simplify]: Simplify -27/2800 into -27/2800
0.848 * [backup-simplify]: Simplify (+ (* -27/2800 (pow x 4)) (+ (* 9/40 (pow x 2)) -1/2)) into (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))
0.848 * [backup-simplify]: Simplify (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) into (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x))))
0.848 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in (x) around 0
0.848 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in x
0.848 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
0.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.849 * [taylor]: Taking taylor expansion of x in x
0.849 * [backup-simplify]: Simplify 0 into 0
0.849 * [backup-simplify]: Simplify 1 into 1
0.849 * [backup-simplify]: Simplify (/ 1 1) into 1
0.849 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.849 * [taylor]: Taking taylor expansion of x in x
0.849 * [backup-simplify]: Simplify 0 into 0
0.849 * [backup-simplify]: Simplify 1 into 1
0.850 * [backup-simplify]: Simplify (/ 1 1) into 1
0.850 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.850 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
0.850 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.850 * [taylor]: Taking taylor expansion of x in x
0.850 * [backup-simplify]: Simplify 0 into 0
0.850 * [backup-simplify]: Simplify 1 into 1
0.850 * [backup-simplify]: Simplify (/ 1 1) into 1
0.850 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.851 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.851 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.851 * [taylor]: Taking taylor expansion of x in x
0.851 * [backup-simplify]: Simplify 0 into 0
0.851 * [backup-simplify]: Simplify 1 into 1
0.851 * [backup-simplify]: Simplify (/ 1 1) into 1
0.851 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.851 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.851 * [taylor]: Taking taylor expansion of x in x
0.851 * [backup-simplify]: Simplify 0 into 0
0.851 * [backup-simplify]: Simplify 1 into 1
0.852 * [backup-simplify]: Simplify (/ 1 1) into 1
0.852 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.852 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.852 * [backup-simplify]: Simplify (+ 1 0) into 1
0.853 * [backup-simplify]: Simplify (+ 1 0) into 1
0.853 * [backup-simplify]: Simplify (/ 1 1) into 1
0.853 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in x
0.853 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
0.853 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.853 * [taylor]: Taking taylor expansion of x in x
0.853 * [backup-simplify]: Simplify 0 into 0
0.853 * [backup-simplify]: Simplify 1 into 1
0.854 * [backup-simplify]: Simplify (/ 1 1) into 1
0.854 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.854 * [taylor]: Taking taylor expansion of x in x
0.854 * [backup-simplify]: Simplify 0 into 0
0.854 * [backup-simplify]: Simplify 1 into 1
0.854 * [backup-simplify]: Simplify (/ 1 1) into 1
0.854 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.854 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
0.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.854 * [taylor]: Taking taylor expansion of x in x
0.854 * [backup-simplify]: Simplify 0 into 0
0.854 * [backup-simplify]: Simplify 1 into 1
0.855 * [backup-simplify]: Simplify (/ 1 1) into 1
0.855 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.855 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.855 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.855 * [taylor]: Taking taylor expansion of x in x
0.855 * [backup-simplify]: Simplify 0 into 0
0.855 * [backup-simplify]: Simplify 1 into 1
0.855 * [backup-simplify]: Simplify (/ 1 1) into 1
0.855 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.855 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.855 * [taylor]: Taking taylor expansion of x in x
0.855 * [backup-simplify]: Simplify 0 into 0
0.856 * [backup-simplify]: Simplify 1 into 1
0.856 * [backup-simplify]: Simplify (/ 1 1) into 1
0.856 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.856 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.856 * [backup-simplify]: Simplify (+ 1 0) into 1
0.857 * [backup-simplify]: Simplify (+ 1 0) into 1
0.857 * [backup-simplify]: Simplify (/ 1 1) into 1
0.857 * [backup-simplify]: Simplify 1 into 1
0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.858 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
0.858 * [backup-simplify]: Simplify (+ 0 (- (sin (/ 1 x)))) into (- (sin (/ 1 x)))
0.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.859 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
0.859 * [backup-simplify]: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
0.860 * [backup-simplify]: Simplify (- (/ (- (sin (/ 1 x))) 1) (+ (* 1 (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))
0.860 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))
0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.861 * [backup-simplify]: Simplify (- 0) into 0
0.862 * [backup-simplify]: Simplify (+ 0 0) into 0
0.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.863 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
0.864 * [backup-simplify]: Simplify (- 0) into 0
0.864 * [backup-simplify]: Simplify (+ 0 0) into 0
0.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))))
0.867 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))))
0.868 * [backup-simplify]: Simplify (+ (* (- (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) (/ (pow (sin (/ 1 (/ 1 x))) 2) (cos (/ 1 (/ 1 x))))) (pow (/ 1 x) 2)) (+ (* (- (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) (/ 1 x)) 1)) into (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
0.869 * [backup-simplify]: Simplify (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) into (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x)))
0.869 * [approximate]: Taking taylor expansion of (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in (x) around 0
0.869 * [taylor]: Taking taylor expansion of (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in x
0.869 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
0.869 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.869 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.869 * [taylor]: Taking taylor expansion of -1 in x
0.869 * [backup-simplify]: Simplify -1 into -1
0.869 * [taylor]: Taking taylor expansion of x in x
0.869 * [backup-simplify]: Simplify 0 into 0
0.869 * [backup-simplify]: Simplify 1 into 1
0.870 * [backup-simplify]: Simplify (/ -1 1) into -1
0.870 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.870 * [taylor]: Taking taylor expansion of x in x
0.870 * [backup-simplify]: Simplify 0 into 0
0.870 * [backup-simplify]: Simplify 1 into 1
0.871 * [backup-simplify]: Simplify (/ 1 1) into 1
0.871 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
0.871 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.871 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.871 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.871 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.871 * [taylor]: Taking taylor expansion of -1 in x
0.871 * [backup-simplify]: Simplify -1 into -1
0.871 * [taylor]: Taking taylor expansion of x in x
0.871 * [backup-simplify]: Simplify 0 into 0
0.871 * [backup-simplify]: Simplify 1 into 1
0.872 * [backup-simplify]: Simplify (/ -1 1) into -1
0.872 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.872 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.872 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.872 * [taylor]: Taking taylor expansion of -1 in x
0.872 * [backup-simplify]: Simplify -1 into -1
0.872 * [taylor]: Taking taylor expansion of x in x
0.872 * [backup-simplify]: Simplify 0 into 0
0.872 * [backup-simplify]: Simplify 1 into 1
0.872 * [backup-simplify]: Simplify (/ -1 1) into -1
0.873 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.873 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.873 * [taylor]: Taking taylor expansion of x in x
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify 1 into 1
0.873 * [backup-simplify]: Simplify (/ 1 1) into 1
0.874 * [backup-simplify]: Simplify (+ 0 1) into 1
0.874 * [backup-simplify]: Simplify (+ 0 1) into 1
0.875 * [backup-simplify]: Simplify (/ 1 1) into 1
0.875 * [taylor]: Taking taylor expansion of (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in x
0.875 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
0.875 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.875 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.875 * [taylor]: Taking taylor expansion of -1 in x
0.875 * [backup-simplify]: Simplify -1 into -1
0.875 * [taylor]: Taking taylor expansion of x in x
0.875 * [backup-simplify]: Simplify 0 into 0
0.875 * [backup-simplify]: Simplify 1 into 1
0.875 * [backup-simplify]: Simplify (/ -1 1) into -1
0.875 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.876 * [taylor]: Taking taylor expansion of x in x
0.876 * [backup-simplify]: Simplify 0 into 0
0.876 * [backup-simplify]: Simplify 1 into 1
0.876 * [backup-simplify]: Simplify (/ 1 1) into 1
0.876 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
0.876 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.876 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.876 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.876 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.876 * [taylor]: Taking taylor expansion of -1 in x
0.876 * [backup-simplify]: Simplify -1 into -1
0.876 * [taylor]: Taking taylor expansion of x in x
0.876 * [backup-simplify]: Simplify 0 into 0
0.876 * [backup-simplify]: Simplify 1 into 1
0.877 * [backup-simplify]: Simplify (/ -1 1) into -1
0.877 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.877 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.877 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.877 * [taylor]: Taking taylor expansion of -1 in x
0.877 * [backup-simplify]: Simplify -1 into -1
0.877 * [taylor]: Taking taylor expansion of x in x
0.877 * [backup-simplify]: Simplify 0 into 0
0.877 * [backup-simplify]: Simplify 1 into 1
0.878 * [backup-simplify]: Simplify (/ -1 1) into -1
0.878 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.878 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.878 * [taylor]: Taking taylor expansion of x in x
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify 1 into 1
0.878 * [backup-simplify]: Simplify (/ 1 1) into 1
0.879 * [backup-simplify]: Simplify (+ 0 1) into 1
0.879 * [backup-simplify]: Simplify (+ 0 1) into 1
0.880 * [backup-simplify]: Simplify (/ 1 1) into 1
0.880 * [backup-simplify]: Simplify 1 into 1
0.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.881 * [backup-simplify]: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x))
0.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.882 * [backup-simplify]: Simplify (+ (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.882 * [backup-simplify]: Simplify (- (/ (sin (/ -1 x)) 1) (+ (* 1 (/ (/ (sin (/ -1 x)) (cos (/ -1 x))) 1)))) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))
0.883 * [backup-simplify]: Simplify (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))
0.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.884 * [backup-simplify]: Simplify (+ 0 0) into 0
0.884 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
0.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.886 * [backup-simplify]: Simplify (+ 0 0) into 0
0.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) (/ (/ (sin (/ -1 x)) (cos (/ -1 x))) 1)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))
0.887 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))
0.888 * [backup-simplify]: Simplify (+ (* (- (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (cos (/ -1 (/ 1 (- x)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (sin (/ -1 (/ 1 (- x)))) (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (/ 1 (- x))) 1)) into (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
0.889 * * * [progress]: simplifying candidates
0.892 * [simplify]: Simplifying:
  (/ (exp x) (exp (sin x)))
  (log (- x (sin x)))
  (exp (- x (sin x)))
  (* (cbrt (- x (sin x))) (cbrt (- x (sin x))))
  (cbrt (- x (sin x)))
  (* (* (- x (sin x)) (- x (sin x))) (- x (sin x)))
  (sqrt (- x (sin x)))
  (sqrt (- x (sin x)))
  (- (pow x 3) (pow (sin x) 3))
  (+ (* x x) (+ (* (sin x) (sin x)) (* x (sin x))))
  (- (sin x))
  (- (* x x) (* (sin x) (sin x)))
  (+ x (sin x))
  (+ (sqrt x) (sqrt (sin x)))
  (- (sqrt x) (sqrt (sin x)))
  (- x (sin x))
  (- (sin x))
  (/ (exp x) (exp (tan x)))
  (log (- x (tan x)))
  (exp (- x (tan x)))
  (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))
  (cbrt (- x (tan x)))
  (* (* (- x (tan x)) (- x (tan x))) (- x (tan x)))
  (sqrt (- x (tan x)))
  (sqrt (- x (tan x)))
  (- (pow x 3) (pow (tan x) 3))
  (+ (* x x) (+ (* (tan x) (tan x)) (* x (tan x))))
  (- (tan x))
  (- (* x x) (* (tan x) (tan x)))
  (+ x (tan x))
  (+ (sqrt x) (sqrt (tan x)))
  (- (sqrt x) (sqrt (tan x)))
  (- x (tan x))
  (- (tan x))
  (- (log (- x (sin x))) (log (- x (tan x))))
  (log (/ (- x (sin x)) (- x (tan x))))
  (exp (/ (- x (sin x)) (- x (tan x))))
  (/ (* (* (- x (sin x)) (- x (sin x))) (- x (sin x))) (* (* (- x (tan x)) (- x (tan x))) (- x (tan x))))
  (* (cbrt (/ (- x (sin x)) (- x (tan x)))) (cbrt (/ (- x (sin x)) (- x (tan x)))))
  (cbrt (/ (- x (sin x)) (- x (tan x))))
  (* (* (/ (- x (sin x)) (- x (tan x))) (/ (- x (sin x)) (- x (tan x)))) (/ (- x (sin x)) (- x (tan x))))
  (sqrt (/ (- x (sin x)) (- x (tan x))))
  (sqrt (/ (- x (sin x)) (- x (tan x))))
  (- (- x (sin x)))
  (- (- x (tan x)))
  (/ x (- x (tan x)))
  (/ (sin x) (- x (tan x)))
  (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))
  (/ (cbrt (- x (sin x))) (cbrt (- x (tan x))))
  (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x))))
  (/ (cbrt (- x (sin x))) (sqrt (- x (tan x))))
  (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) 1)
  (/ (cbrt (- x (sin x))) (- x (tan x)))
  (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (+ (sqrt x) (sqrt (tan x))))
  (/ (cbrt (- x (sin x))) (- (sqrt x) (sqrt (tan x))))
  (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) 1)
  (/ (cbrt (- x (sin x))) (- x (tan x)))
  (/ (sqrt (- x (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))
  (/ (sqrt (- x (sin x))) (cbrt (- x (tan x))))
  (/ (sqrt (- x (sin x))) (sqrt (- x (tan x))))
  (/ (sqrt (- x (sin x))) (sqrt (- x (tan x))))
  (/ (sqrt (- x (sin x))) 1)
  (/ (sqrt (- x (sin x))) (- x (tan x)))
  (/ (sqrt (- x (sin x))) (+ (sqrt x) (sqrt (tan x))))
  (/ (sqrt (- x (sin x))) (- (sqrt x) (sqrt (tan x))))
  (/ (sqrt (- x (sin x))) 1)
  (/ (sqrt (- x (sin x))) (- x (tan x)))
  (/ 1 (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))
  (/ (- x (sin x)) (cbrt (- x (tan x))))
  (/ 1 (sqrt (- x (tan x))))
  (/ (- x (sin x)) (sqrt (- x (tan x))))
  (/ 1 1)
  (/ (- x (sin x)) (- x (tan x)))
  (/ 1 (+ (sqrt x) (sqrt (tan x))))
  (/ (- x (sin x)) (- (sqrt x) (sqrt (tan x))))
  (/ 1 1)
  (/ (- x (sin x)) (- x (tan x)))
  (/ (+ (sqrt x) (sqrt (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))
  (/ (- (sqrt x) (sqrt (sin x))) (cbrt (- x (tan x))))
  (/ (+ (sqrt x) (sqrt (sin x))) (sqrt (- x (tan x))))
  (/ (- (sqrt x) (sqrt (sin x))) (sqrt (- x (tan x))))
  (/ (+ (sqrt x) (sqrt (sin x))) 1)
  (/ (- (sqrt x) (sqrt (sin x))) (- x (tan x)))
  (/ (+ (sqrt x) (sqrt (sin x))) (+ (sqrt x) (sqrt (tan x))))
  (/ (- (sqrt x) (sqrt (sin x))) (- (sqrt x) (sqrt (tan x))))
  (/ (+ (sqrt x) (sqrt (sin x))) 1)
  (/ (- (sqrt x) (sqrt (sin x))) (- x (tan x)))
  (/ 1 (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))
  (/ (- x (sin x)) (cbrt (- x (tan x))))
  (/ 1 (sqrt (- x (tan x))))
  (/ (- x (sin x)) (sqrt (- x (tan x))))
  (/ 1 1)
  (/ (- x (sin x)) (- x (tan x)))
  (/ 1 (+ (sqrt x) (sqrt (tan x))))
  (/ (- x (sin x)) (- (sqrt x) (sqrt (tan x))))
  (/ 1 1)
  (/ (- x (sin x)) (- x (tan x)))
  (/ 1 (- x (tan x)))
  (/ (- x (tan x)) (- x (sin x)))
  (/ (- x (sin x)) (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))
  (/ (- x (sin x)) (sqrt (- x (tan x))))
  (/ (- x (sin x)) 1)
  (/ (- x (sin x)) (+ (sqrt x) (sqrt (tan x))))
  (/ (- x (sin x)) 1)
  (/ (- x (tan x)) (cbrt (- x (sin x))))
  (/ (- x (tan x)) (sqrt (- x (sin x))))
  (/ (- x (tan x)) (- x (sin x)))
  (/ (- x (tan x)) (- (sqrt x) (sqrt (sin x))))
  (/ (- x (tan x)) (- x (sin x)))
  (/ (- x (sin x)) (- (pow x 3) (pow (tan x) 3)))
  (/ (- x (sin x)) (- (* x x) (* (tan x) (tan x))))
  (* (- x (tan x)) (+ (* x x) (+ (* (sin x) (sin x)) (* x (sin x)))))
  (* (- x (tan x)) (+ x (sin x)))
  (- (+ (* 1/5040 (pow x 7)) (* 1/6 (pow x 3))) (* 1/120 (pow x 5)))
  (- x (sin x))
  (- x (sin x))
  (- (+ (* 17/315 (pow x 7)) (+ (* 1/3 (pow x 3)) (* 2/15 (pow x 5)))))
  (- x (/ (sin x) (cos x)))
  (- x (/ (sin x) (cos x)))
  (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))
  (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
  (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
2.378 * * * [progress]: adding candidates to table
2.662 * * [progress]: iteration 2 / 4
2.663 * * * [progress]: picking best candidate
2.684 * * * * [pick]: Picked  #<alt (λ (x) (log (exp (/ (- x (sin x)) (- x (tan x))))))>
2.684 * * * [progress]: localizing error
2.698 * * * [progress]: generating rewritten candidates
2.698 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1)
2.709 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2)
2.721 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
2.807 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
2.849 * * * [progress]: generating series expansions
2.849 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1)
2.850 * [backup-simplify]: Simplify (- x (sin x)) into (- x (sin x))
2.850 * [approximate]: Taking taylor expansion of (- x (sin x)) in (x) around 0
2.850 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
2.850 * [taylor]: Taking taylor expansion of x in x
2.850 * [backup-simplify]: Simplify 0 into 0
2.850 * [backup-simplify]: Simplify 1 into 1
2.850 * [taylor]: Taking taylor expansion of (sin x) in x
2.850 * [taylor]: Taking taylor expansion of x in x
2.850 * [backup-simplify]: Simplify 0 into 0
2.850 * [backup-simplify]: Simplify 1 into 1
2.850 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
2.850 * [taylor]: Taking taylor expansion of x in x
2.850 * [backup-simplify]: Simplify 0 into 0
2.850 * [backup-simplify]: Simplify 1 into 1
2.850 * [taylor]: Taking taylor expansion of (sin x) in x
2.850 * [taylor]: Taking taylor expansion of x in x
2.850 * [backup-simplify]: Simplify 0 into 0
2.850 * [backup-simplify]: Simplify 1 into 1
2.851 * [backup-simplify]: Simplify (- 0) into 0
2.851 * [backup-simplify]: Simplify (+ 0 0) into 0
2.851 * [backup-simplify]: Simplify 0 into 0
2.852 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.852 * [backup-simplify]: Simplify (- 1) into -1
2.852 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.852 * [backup-simplify]: Simplify 0 into 0
2.853 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.853 * [backup-simplify]: Simplify (- 0) into 0
2.853 * [backup-simplify]: Simplify (+ 0 0) into 0
2.853 * [backup-simplify]: Simplify 0 into 0
2.854 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
2.855 * [backup-simplify]: Simplify (- -1/6) into 1/6
2.855 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
2.855 * [backup-simplify]: Simplify 1/6 into 1/6
2.856 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.856 * [backup-simplify]: Simplify (- 0) into 0
2.856 * [backup-simplify]: Simplify (+ 0 0) into 0
2.856 * [backup-simplify]: Simplify 0 into 0
2.859 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
2.859 * [backup-simplify]: Simplify (- 1/120) into -1/120
2.859 * [backup-simplify]: Simplify (+ 0 -1/120) into -1/120
2.859 * [backup-simplify]: Simplify -1/120 into -1/120
2.862 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.862 * [backup-simplify]: Simplify (- 0) into 0
2.862 * [backup-simplify]: Simplify (+ 0 0) into 0
2.862 * [backup-simplify]: Simplify 0 into 0
2.866 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
2.866 * [backup-simplify]: Simplify (- -1/5040) into 1/5040
2.867 * [backup-simplify]: Simplify (+ 0 1/5040) into 1/5040
2.867 * [backup-simplify]: Simplify 1/5040 into 1/5040
2.867 * [backup-simplify]: Simplify (+ (* 1/5040 (pow x 7)) (+ (* -1/120 (pow x 5)) (* 1/6 (pow x 3)))) into (- (+ (* 1/5040 (pow x 7)) (* 1/6 (pow x 3))) (* 1/120 (pow x 5)))
2.867 * [backup-simplify]: Simplify (- (/ 1 x) (sin (/ 1 x))) into (- (/ 1 x) (sin (/ 1 x)))
2.867 * [approximate]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in (x) around 0
2.867 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
2.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.867 * [taylor]: Taking taylor expansion of x in x
2.867 * [backup-simplify]: Simplify 0 into 0
2.867 * [backup-simplify]: Simplify 1 into 1
2.868 * [backup-simplify]: Simplify (/ 1 1) into 1
2.868 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.868 * [taylor]: Taking taylor expansion of x in x
2.868 * [backup-simplify]: Simplify 0 into 0
2.868 * [backup-simplify]: Simplify 1 into 1
2.868 * [backup-simplify]: Simplify (/ 1 1) into 1
2.868 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.868 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
2.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.868 * [taylor]: Taking taylor expansion of x in x
2.868 * [backup-simplify]: Simplify 0 into 0
2.868 * [backup-simplify]: Simplify 1 into 1
2.868 * [backup-simplify]: Simplify (/ 1 1) into 1
2.868 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.868 * [taylor]: Taking taylor expansion of x in x
2.868 * [backup-simplify]: Simplify 0 into 0
2.868 * [backup-simplify]: Simplify 1 into 1
2.869 * [backup-simplify]: Simplify (/ 1 1) into 1
2.869 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.869 * [backup-simplify]: Simplify (+ 1 0) into 1
2.869 * [backup-simplify]: Simplify 1 into 1
2.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.870 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
2.870 * [backup-simplify]: Simplify (+ 0 (- (sin (/ 1 x)))) into (- (sin (/ 1 x)))
2.870 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
2.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.871 * [backup-simplify]: Simplify (- 0) into 0
2.871 * [backup-simplify]: Simplify (+ 0 0) into 0
2.871 * [backup-simplify]: Simplify 0 into 0
2.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.873 * [backup-simplify]: Simplify (- 0) into 0
2.873 * [backup-simplify]: Simplify (+ 0 0) into 0
2.873 * [backup-simplify]: Simplify 0 into 0
2.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.874 * [backup-simplify]: Simplify (- 0) into 0
2.875 * [backup-simplify]: Simplify (+ 0 0) into 0
2.875 * [backup-simplify]: Simplify 0 into 0
2.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.876 * [backup-simplify]: Simplify (- 0) into 0
2.876 * [backup-simplify]: Simplify (+ 0 0) into 0
2.876 * [backup-simplify]: Simplify 0 into 0
2.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.878 * [backup-simplify]: Simplify (- 0) into 0
2.878 * [backup-simplify]: Simplify (+ 0 0) into 0
2.878 * [backup-simplify]: Simplify 0 into 0
2.879 * [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
2.879 * [backup-simplify]: Simplify (- 0) into 0
2.880 * [backup-simplify]: Simplify (+ 0 0) into 0
2.880 * [backup-simplify]: Simplify 0 into 0
2.880 * [backup-simplify]: Simplify (+ (- (sin (/ 1 (/ 1 x)))) (* 1 (/ 1 (/ 1 x)))) into (- x (sin x))
2.880 * [backup-simplify]: Simplify (- (/ 1 (- x)) (sin (/ 1 (- x)))) into (- (+ (sin (/ -1 x)) (/ 1 x)))
2.880 * [approximate]: Taking taylor expansion of (- (+ (sin (/ -1 x)) (/ 1 x))) in (x) around 0
2.880 * [taylor]: Taking taylor expansion of (- (+ (sin (/ -1 x)) (/ 1 x))) in x
2.880 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
2.880 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.880 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.880 * [taylor]: Taking taylor expansion of -1 in x
2.880 * [backup-simplify]: Simplify -1 into -1
2.880 * [taylor]: Taking taylor expansion of x in x
2.880 * [backup-simplify]: Simplify 0 into 0
2.880 * [backup-simplify]: Simplify 1 into 1
2.881 * [backup-simplify]: Simplify (/ -1 1) into -1
2.881 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.881 * [taylor]: Taking taylor expansion of x in x
2.881 * [backup-simplify]: Simplify 0 into 0
2.881 * [backup-simplify]: Simplify 1 into 1
2.881 * [backup-simplify]: Simplify (/ 1 1) into 1
2.881 * [taylor]: Taking taylor expansion of (- (+ (sin (/ -1 x)) (/ 1 x))) in x
2.881 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
2.881 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.881 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.882 * [taylor]: Taking taylor expansion of -1 in x
2.882 * [backup-simplify]: Simplify -1 into -1
2.882 * [taylor]: Taking taylor expansion of x in x
2.882 * [backup-simplify]: Simplify 0 into 0
2.882 * [backup-simplify]: Simplify 1 into 1
2.882 * [backup-simplify]: Simplify (/ -1 1) into -1
2.882 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.882 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.882 * [taylor]: Taking taylor expansion of x in x
2.882 * [backup-simplify]: Simplify 0 into 0
2.882 * [backup-simplify]: Simplify 1 into 1
2.883 * [backup-simplify]: Simplify (/ 1 1) into 1
2.883 * [backup-simplify]: Simplify (+ 0 1) into 1
2.883 * [backup-simplify]: Simplify (- 1) into -1
2.883 * [backup-simplify]: Simplify -1 into -1
2.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.885 * [backup-simplify]: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x))
2.885 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
2.885 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
2.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.886 * [backup-simplify]: Simplify (+ 0 0) into 0
2.886 * [backup-simplify]: Simplify (- 0) into 0
2.886 * [backup-simplify]: Simplify 0 into 0
2.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.888 * [backup-simplify]: Simplify (+ 0 0) into 0
2.894 * [backup-simplify]: Simplify (- 0) into 0
2.894 * [backup-simplify]: Simplify 0 into 0
2.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.896 * [backup-simplify]: Simplify (+ 0 0) into 0
2.896 * [backup-simplify]: Simplify (- 0) into 0
2.896 * [backup-simplify]: Simplify 0 into 0
2.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.898 * [backup-simplify]: Simplify (+ 0 0) into 0
2.898 * [backup-simplify]: Simplify (- 0) into 0
2.898 * [backup-simplify]: Simplify 0 into 0
2.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.899 * [backup-simplify]: Simplify (+ 0 0) into 0
2.900 * [backup-simplify]: Simplify (- 0) into 0
2.900 * [backup-simplify]: Simplify 0 into 0
2.901 * [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
2.901 * [backup-simplify]: Simplify (+ 0 0) into 0
2.902 * [backup-simplify]: Simplify (- 0) into 0
2.902 * [backup-simplify]: Simplify 0 into 0
2.902 * [backup-simplify]: Simplify (+ (- (sin (/ -1 (/ 1 (- x))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (sin x))
2.902 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2)
2.902 * [backup-simplify]: Simplify (- x (tan x)) into (- x (tan x))
2.902 * [approximate]: Taking taylor expansion of (- x (tan x)) in (x) around 0
2.902 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
2.902 * [taylor]: Taking taylor expansion of x in x
2.902 * [backup-simplify]: Simplify 0 into 0
2.902 * [backup-simplify]: Simplify 1 into 1
2.902 * [taylor]: Taking taylor expansion of (tan x) in x
2.903 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
2.903 * [taylor]: Taking taylor expansion of (sin x) in x
2.903 * [taylor]: Taking taylor expansion of x in x
2.903 * [backup-simplify]: Simplify 0 into 0
2.903 * [backup-simplify]: Simplify 1 into 1
2.903 * [taylor]: Taking taylor expansion of (cos x) in x
2.903 * [taylor]: Taking taylor expansion of x in x
2.903 * [backup-simplify]: Simplify 0 into 0
2.903 * [backup-simplify]: Simplify 1 into 1
2.904 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.904 * [backup-simplify]: Simplify (/ 1 1) into 1
2.904 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
2.904 * [taylor]: Taking taylor expansion of x in x
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [backup-simplify]: Simplify 1 into 1
2.904 * [taylor]: Taking taylor expansion of (tan x) in x
2.904 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
2.904 * [taylor]: Taking taylor expansion of (sin x) in x
2.904 * [taylor]: Taking taylor expansion of x in x
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [backup-simplify]: Simplify 1 into 1
2.904 * [taylor]: Taking taylor expansion of (cos x) in x
2.904 * [taylor]: Taking taylor expansion of x in x
2.904 * [backup-simplify]: Simplify 0 into 0
2.905 * [backup-simplify]: Simplify 1 into 1
2.905 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.906 * [backup-simplify]: Simplify (/ 1 1) into 1
2.906 * [backup-simplify]: Simplify (+ 0 0) into 0
2.906 * [backup-simplify]: Simplify 0 into 0
2.906 * [backup-simplify]: Simplify (- 1) into -1
2.907 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.907 * [backup-simplify]: Simplify 0 into 0
2.908 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.908 * [backup-simplify]: Simplify (+ 0) into 0
2.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
2.909 * [backup-simplify]: Simplify (- 0) into 0
2.910 * [backup-simplify]: Simplify (+ 0 0) into 0
2.910 * [backup-simplify]: Simplify 0 into 0
2.911 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
2.912 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
2.914 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
2.914 * [backup-simplify]: Simplify (- 1/3) into -1/3
2.915 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
2.915 * [backup-simplify]: Simplify -1/3 into -1/3
2.916 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.917 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
2.919 * [backup-simplify]: Simplify (- 0) into 0
2.920 * [backup-simplify]: Simplify (+ 0 0) into 0
2.920 * [backup-simplify]: Simplify 0 into 0
2.923 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
2.926 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
2.928 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
2.928 * [backup-simplify]: Simplify (- 2/15) into -2/15
2.929 * [backup-simplify]: Simplify (+ 0 -2/15) into -2/15
2.929 * [backup-simplify]: Simplify -2/15 into -2/15
2.933 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.936 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ -1/2 1)) (* 2/15 (/ 0 1)))) into 0
2.938 * [backup-simplify]: Simplify (- 0) into 0
2.939 * [backup-simplify]: Simplify (+ 0 0) into 0
2.939 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
2.952 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720
2.955 * [backup-simplify]: Simplify (- (/ -1/5040 1) (+ (* 1 (/ -1/720 1)) (* 0 (/ 0 1)) (* 1/3 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/15 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/315
2.955 * [backup-simplify]: Simplify (- 17/315) into -17/315
2.956 * [backup-simplify]: Simplify (+ 0 -17/315) into -17/315
2.956 * [backup-simplify]: Simplify -17/315 into -17/315
2.956 * [backup-simplify]: Simplify (+ (* -17/315 (pow x 7)) (+ (* -2/15 (pow x 5)) (* -1/3 (pow x 3)))) into (- (+ (* 17/315 (pow x 7)) (+ (* 1/3 (pow x 3)) (* 2/15 (pow x 5)))))
2.957 * [backup-simplify]: Simplify (- (/ 1 x) (tan (/ 1 x))) into (- (/ 1 x) (tan (/ 1 x)))
2.957 * [approximate]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in (x) around 0
2.957 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
2.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.957 * [taylor]: Taking taylor expansion of x in x
2.957 * [backup-simplify]: Simplify 0 into 0
2.957 * [backup-simplify]: Simplify 1 into 1
2.957 * [backup-simplify]: Simplify (/ 1 1) into 1
2.957 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
2.957 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.957 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.957 * [taylor]: Taking taylor expansion of x in x
2.957 * [backup-simplify]: Simplify 0 into 0
2.957 * [backup-simplify]: Simplify 1 into 1
2.958 * [backup-simplify]: Simplify (/ 1 1) into 1
2.958 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.958 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.958 * [taylor]: Taking taylor expansion of x in x
2.958 * [backup-simplify]: Simplify 0 into 0
2.958 * [backup-simplify]: Simplify 1 into 1
2.958 * [backup-simplify]: Simplify (/ 1 1) into 1
2.959 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.959 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.959 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
2.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.959 * [taylor]: Taking taylor expansion of x in x
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 1 into 1
2.959 * [backup-simplify]: Simplify (/ 1 1) into 1
2.959 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
2.959 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.959 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.959 * [taylor]: Taking taylor expansion of x in x
2.960 * [backup-simplify]: Simplify 0 into 0
2.960 * [backup-simplify]: Simplify 1 into 1
2.960 * [backup-simplify]: Simplify (/ 1 1) into 1
2.960 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.960 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.960 * [taylor]: Taking taylor expansion of x in x
2.960 * [backup-simplify]: Simplify 0 into 0
2.960 * [backup-simplify]: Simplify 1 into 1
2.961 * [backup-simplify]: Simplify (/ 1 1) into 1
2.961 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.961 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.961 * [backup-simplify]: Simplify (+ 1 0) into 1
2.961 * [backup-simplify]: Simplify 1 into 1
2.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.962 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
2.963 * [backup-simplify]: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
2.963 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
2.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.964 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
2.964 * [backup-simplify]: Simplify (- 0) into 0
2.965 * [backup-simplify]: Simplify (+ 0 0) into 0
2.965 * [backup-simplify]: Simplify 0 into 0
2.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.966 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
2.966 * [backup-simplify]: Simplify (- 0) into 0
2.967 * [backup-simplify]: Simplify (+ 0 0) into 0
2.967 * [backup-simplify]: Simplify 0 into 0
2.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.968 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
2.969 * [backup-simplify]: Simplify (- 0) into 0
2.969 * [backup-simplify]: Simplify (+ 0 0) into 0
2.969 * [backup-simplify]: Simplify 0 into 0
2.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.971 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
2.971 * [backup-simplify]: Simplify (- 0) into 0
2.972 * [backup-simplify]: Simplify (+ 0 0) into 0
2.972 * [backup-simplify]: Simplify 0 into 0
2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.973 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
2.974 * [backup-simplify]: Simplify (- 0) into 0
2.974 * [backup-simplify]: Simplify (+ 0 0) into 0
2.974 * [backup-simplify]: Simplify 0 into 0
2.975 * [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
2.976 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
2.976 * [backup-simplify]: Simplify (- 0) into 0
2.977 * [backup-simplify]: Simplify (+ 0 0) into 0
2.977 * [backup-simplify]: Simplify 0 into 0
2.977 * [backup-simplify]: Simplify (+ (- (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x))))) (* 1 (/ 1 (/ 1 x)))) into (- x (/ (sin x) (cos x)))
2.977 * [backup-simplify]: Simplify (- (/ 1 (- x)) (tan (/ 1 (- x)))) into (- (+ (tan (/ -1 x)) (/ 1 x)))
2.977 * [approximate]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in (x) around 0
2.977 * [taylor]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in x
2.978 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
2.978 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
2.978 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.978 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.978 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.978 * [taylor]: Taking taylor expansion of -1 in x
2.978 * [backup-simplify]: Simplify -1 into -1
2.978 * [taylor]: Taking taylor expansion of x in x
2.978 * [backup-simplify]: Simplify 0 into 0
2.978 * [backup-simplify]: Simplify 1 into 1
2.978 * [backup-simplify]: Simplify (/ -1 1) into -1
2.978 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.979 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.979 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.979 * [taylor]: Taking taylor expansion of -1 in x
2.979 * [backup-simplify]: Simplify -1 into -1
2.979 * [taylor]: Taking taylor expansion of x in x
2.979 * [backup-simplify]: Simplify 0 into 0
2.979 * [backup-simplify]: Simplify 1 into 1
2.979 * [backup-simplify]: Simplify (/ -1 1) into -1
2.979 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.979 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.979 * [taylor]: Taking taylor expansion of x in x
2.980 * [backup-simplify]: Simplify 0 into 0
2.980 * [backup-simplify]: Simplify 1 into 1
2.980 * [backup-simplify]: Simplify (/ 1 1) into 1
2.980 * [taylor]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in x
2.980 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
2.980 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
2.980 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.980 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.980 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.980 * [taylor]: Taking taylor expansion of -1 in x
2.980 * [backup-simplify]: Simplify -1 into -1
2.980 * [taylor]: Taking taylor expansion of x in x
2.980 * [backup-simplify]: Simplify 0 into 0
2.980 * [backup-simplify]: Simplify 1 into 1
2.981 * [backup-simplify]: Simplify (/ -1 1) into -1
2.981 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.981 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.981 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.981 * [taylor]: Taking taylor expansion of -1 in x
2.981 * [backup-simplify]: Simplify -1 into -1
2.981 * [taylor]: Taking taylor expansion of x in x
2.981 * [backup-simplify]: Simplify 0 into 0
2.981 * [backup-simplify]: Simplify 1 into 1
2.981 * [backup-simplify]: Simplify (/ -1 1) into -1
2.982 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.982 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.982 * [taylor]: Taking taylor expansion of x in x
2.982 * [backup-simplify]: Simplify 0 into 0
2.982 * [backup-simplify]: Simplify 1 into 1
2.982 * [backup-simplify]: Simplify (/ 1 1) into 1
2.983 * [backup-simplify]: Simplify (+ 0 1) into 1
2.983 * [backup-simplify]: Simplify (- 1) into -1
2.983 * [backup-simplify]: Simplify -1 into -1
2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.984 * [backup-simplify]: Simplify (+ (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.984 * [backup-simplify]: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x))))
2.984 * [backup-simplify]: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x))))
2.985 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
2.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.986 * [backup-simplify]: Simplify (+ 0 0) into 0
2.986 * [backup-simplify]: Simplify (- 0) into 0
2.987 * [backup-simplify]: Simplify 0 into 0
2.987 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.988 * [backup-simplify]: Simplify (+ 0 0) into 0
2.989 * [backup-simplify]: Simplify (- 0) into 0
2.989 * [backup-simplify]: Simplify 0 into 0
2.989 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
2.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.991 * [backup-simplify]: Simplify (+ 0 0) into 0
2.991 * [backup-simplify]: Simplify (- 0) into 0
2.991 * [backup-simplify]: Simplify 0 into 0
2.992 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
2.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.993 * [backup-simplify]: Simplify (+ 0 0) into 0
2.993 * [backup-simplify]: Simplify (- 0) into 0
2.993 * [backup-simplify]: Simplify 0 into 0
2.994 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
2.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.996 * [backup-simplify]: Simplify (+ 0 0) into 0
2.996 * [backup-simplify]: Simplify (- 0) into 0
2.996 * [backup-simplify]: Simplify 0 into 0
2.997 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
2.998 * [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
2.999 * [backup-simplify]: Simplify (+ 0 0) into 0
2.999 * [backup-simplify]: Simplify (- 0) into 0
2.999 * [backup-simplify]: Simplify 0 into 0
3.000 * [backup-simplify]: Simplify (+ (- (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (/ (sin x) (cos x)))
3.000 * * * * [progress]: [ 3 / 4 ] generating series at (2)
3.000 * [backup-simplify]: Simplify (log (exp (/ (- x (sin x)) (- x (tan x))))) into (/ (- x (sin x)) (- x (tan x)))
3.000 * [approximate]: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in (x) around 0
3.000 * [taylor]: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in x
3.000 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
3.000 * [taylor]: Taking taylor expansion of x in x
3.000 * [backup-simplify]: Simplify 0 into 0
3.000 * [backup-simplify]: Simplify 1 into 1
3.000 * [taylor]: Taking taylor expansion of (sin x) in x
3.000 * [taylor]: Taking taylor expansion of x in x
3.000 * [backup-simplify]: Simplify 0 into 0
3.000 * [backup-simplify]: Simplify 1 into 1
3.000 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
3.000 * [taylor]: Taking taylor expansion of x in x
3.000 * [backup-simplify]: Simplify 0 into 0
3.000 * [backup-simplify]: Simplify 1 into 1
3.001 * [taylor]: Taking taylor expansion of (tan x) in x
3.001 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
3.001 * [taylor]: Taking taylor expansion of (sin x) in x
3.001 * [taylor]: Taking taylor expansion of x in x
3.001 * [backup-simplify]: Simplify 0 into 0
3.001 * [backup-simplify]: Simplify 1 into 1
3.001 * [taylor]: Taking taylor expansion of (cos x) in x
3.001 * [taylor]: Taking taylor expansion of x in x
3.001 * [backup-simplify]: Simplify 0 into 0
3.001 * [backup-simplify]: Simplify 1 into 1
3.002 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.002 * [backup-simplify]: Simplify (/ 1 1) into 1
3.002 * [backup-simplify]: Simplify (- 0) into 0
3.003 * [backup-simplify]: Simplify (+ 0 0) into 0
3.003 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.004 * [backup-simplify]: Simplify (- 1) into -1
3.004 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.005 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.005 * [backup-simplify]: Simplify (- 0) into 0
3.006 * [backup-simplify]: Simplify (+ 0 0) into 0
3.007 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.008 * [backup-simplify]: Simplify (- -1/6) into 1/6
3.008 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
3.008 * [backup-simplify]: Simplify (+ 0 0) into 0
3.009 * [backup-simplify]: Simplify (- 1) into -1
3.009 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.010 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.010 * [backup-simplify]: Simplify (+ 0) into 0
3.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
3.012 * [backup-simplify]: Simplify (- 0) into 0
3.012 * [backup-simplify]: Simplify (+ 0 0) into 0
3.013 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.014 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
3.016 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
3.016 * [backup-simplify]: Simplify (- 1/3) into -1/3
3.017 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
3.017 * [backup-simplify]: Simplify (/ 1/6 -1/3) into -1/2
3.017 * [taylor]: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in x
3.017 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
3.017 * [taylor]: Taking taylor expansion of x in x
3.017 * [backup-simplify]: Simplify 0 into 0
3.017 * [backup-simplify]: Simplify 1 into 1
3.017 * [taylor]: Taking taylor expansion of (sin x) in x
3.017 * [taylor]: Taking taylor expansion of x in x
3.017 * [backup-simplify]: Simplify 0 into 0
3.017 * [backup-simplify]: Simplify 1 into 1
3.017 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
3.017 * [taylor]: Taking taylor expansion of x in x
3.017 * [backup-simplify]: Simplify 0 into 0
3.017 * [backup-simplify]: Simplify 1 into 1
3.017 * [taylor]: Taking taylor expansion of (tan x) in x
3.018 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
3.018 * [taylor]: Taking taylor expansion of (sin x) in x
3.018 * [taylor]: Taking taylor expansion of x in x
3.018 * [backup-simplify]: Simplify 0 into 0
3.018 * [backup-simplify]: Simplify 1 into 1
3.018 * [taylor]: Taking taylor expansion of (cos x) in x
3.018 * [taylor]: Taking taylor expansion of x in x
3.018 * [backup-simplify]: Simplify 0 into 0
3.018 * [backup-simplify]: Simplify 1 into 1
3.019 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.019 * [backup-simplify]: Simplify (/ 1 1) into 1
3.019 * [backup-simplify]: Simplify (- 0) into 0
3.020 * [backup-simplify]: Simplify (+ 0 0) into 0
3.020 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.021 * [backup-simplify]: Simplify (- 1) into -1
3.021 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.022 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.022 * [backup-simplify]: Simplify (- 0) into 0
3.023 * [backup-simplify]: Simplify (+ 0 0) into 0
3.024 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.025 * [backup-simplify]: Simplify (- -1/6) into 1/6
3.025 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
3.025 * [backup-simplify]: Simplify (+ 0 0) into 0
3.026 * [backup-simplify]: Simplify (- 1) into -1
3.026 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.027 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.027 * [backup-simplify]: Simplify (+ 0) into 0
3.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
3.029 * [backup-simplify]: Simplify (- 0) into 0
3.029 * [backup-simplify]: Simplify (+ 0 0) into 0
3.031 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.032 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
3.033 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
3.034 * [backup-simplify]: Simplify (- 1/3) into -1/3
3.034 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
3.034 * [backup-simplify]: Simplify (/ 1/6 -1/3) into -1/2
3.035 * [backup-simplify]: Simplify -1/2 into -1/2
3.036 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.036 * [backup-simplify]: Simplify (- 0) into 0
3.037 * [backup-simplify]: Simplify (+ 0 0) into 0
3.038 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.040 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
3.041 * [backup-simplify]: Simplify (- 0) into 0
3.042 * [backup-simplify]: Simplify (+ 0 0) into 0
3.043 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -1/2 (/ 0 -1/3)))) into 0
3.043 * [backup-simplify]: Simplify 0 into 0
3.046 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
3.047 * [backup-simplify]: Simplify (- 1/120) into -1/120
3.057 * [backup-simplify]: Simplify (+ 0 -1/120) into -1/120
3.060 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
3.062 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
3.063 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
3.063 * [backup-simplify]: Simplify (- 2/15) into -2/15
3.064 * [backup-simplify]: Simplify (+ 0 -2/15) into -2/15
3.065 * [backup-simplify]: Simplify (- (/ -1/120 -1/3) (+ (* -1/2 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 9/40
3.065 * [backup-simplify]: Simplify 9/40 into 9/40
3.067 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.067 * [backup-simplify]: Simplify (- 0) into 0
3.068 * [backup-simplify]: Simplify (+ 0 0) into 0
3.070 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.072 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ -1/2 1)) (* 2/15 (/ 0 1)))) into 0
3.073 * [backup-simplify]: Simplify (- 0) into 0
3.073 * [backup-simplify]: Simplify (+ 0 0) into 0
3.074 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -1/2 (/ 0 -1/3)) (* 0 (/ -2/15 -1/3)) (* 9/40 (/ 0 -1/3)))) into 0
3.074 * [backup-simplify]: Simplify 0 into 0
3.079 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
3.079 * [backup-simplify]: Simplify (- -1/5040) into 1/5040
3.079 * [backup-simplify]: Simplify (+ 0 1/5040) into 1/5040
3.083 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
3.086 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720
3.088 * [backup-simplify]: Simplify (- (/ -1/5040 1) (+ (* 1 (/ -1/720 1)) (* 0 (/ 0 1)) (* 1/3 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/15 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/315
3.088 * [backup-simplify]: Simplify (- 17/315) into -17/315
3.088 * [backup-simplify]: Simplify (+ 0 -17/315) into -17/315
3.090 * [backup-simplify]: Simplify (- (/ 1/5040 -1/3) (+ (* -1/2 (/ -17/315 -1/3)) (* 0 (/ 0 -1/3)) (* 9/40 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into -27/2800
3.090 * [backup-simplify]: Simplify -27/2800 into -27/2800
3.090 * [backup-simplify]: Simplify (+ (* -27/2800 (pow x 4)) (+ (* 9/40 (pow x 2)) -1/2)) into (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))
3.090 * [backup-simplify]: Simplify (log (exp (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))))) into (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x))))
3.090 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in (x) around 0
3.090 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in x
3.090 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
3.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.090 * [taylor]: Taking taylor expansion of x in x
3.090 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify 1 into 1
3.091 * [backup-simplify]: Simplify (/ 1 1) into 1
3.091 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
3.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.091 * [taylor]: Taking taylor expansion of x in x
3.091 * [backup-simplify]: Simplify 0 into 0
3.091 * [backup-simplify]: Simplify 1 into 1
3.091 * [backup-simplify]: Simplify (/ 1 1) into 1
3.091 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
3.091 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
3.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.091 * [taylor]: Taking taylor expansion of x in x
3.091 * [backup-simplify]: Simplify 0 into 0
3.091 * [backup-simplify]: Simplify 1 into 1
3.091 * [backup-simplify]: Simplify (/ 1 1) into 1
3.092 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
3.092 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
3.092 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
3.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.092 * [taylor]: Taking taylor expansion of x in x
3.092 * [backup-simplify]: Simplify 0 into 0
3.092 * [backup-simplify]: Simplify 1 into 1
3.092 * [backup-simplify]: Simplify (/ 1 1) into 1
3.092 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
3.092 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
3.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.092 * [taylor]: Taking taylor expansion of x in x
3.092 * [backup-simplify]: Simplify 0 into 0
3.092 * [backup-simplify]: Simplify 1 into 1
3.092 * [backup-simplify]: Simplify (/ 1 1) into 1
3.092 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
3.093 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
3.093 * [backup-simplify]: Simplify (+ 1 0) into 1
3.093 * [backup-simplify]: Simplify (+ 1 0) into 1
3.093 * [backup-simplify]: Simplify (/ 1 1) into 1
3.093 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in x
3.093 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
3.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.093 * [taylor]: Taking taylor expansion of x in x
3.093 * [backup-simplify]: Simplify 0 into 0
3.093 * [backup-simplify]: Simplify 1 into 1
3.094 * [backup-simplify]: Simplify (/ 1 1) into 1
3.094 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
3.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.094 * [taylor]: Taking taylor expansion of x in x
3.094 * [backup-simplify]: Simplify 0 into 0
3.094 * [backup-simplify]: Simplify 1 into 1
3.094 * [backup-simplify]: Simplify (/ 1 1) into 1
3.094 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
3.094 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
3.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.094 * [taylor]: Taking taylor expansion of x in x
3.094 * [backup-simplify]: Simplify 0 into 0
3.094 * [backup-simplify]: Simplify 1 into 1
3.094 * [backup-simplify]: Simplify (/ 1 1) into 1
3.094 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
3.095 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
3.095 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
3.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.095 * [taylor]: Taking taylor expansion of x in x
3.095 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify 1 into 1
3.095 * [backup-simplify]: Simplify (/ 1 1) into 1
3.095 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
3.095 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
3.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.095 * [taylor]: Taking taylor expansion of x in x
3.095 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify 1 into 1
3.095 * [backup-simplify]: Simplify (/ 1 1) into 1
3.095 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
3.095 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
3.096 * [backup-simplify]: Simplify (+ 1 0) into 1
3.096 * [backup-simplify]: Simplify (+ 1 0) into 1
3.097 * [backup-simplify]: Simplify (/ 1 1) into 1
3.097 * [backup-simplify]: Simplify 1 into 1
3.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.098 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
3.098 * [backup-simplify]: Simplify (+ 0 (- (sin (/ 1 x)))) into (- (sin (/ 1 x)))
3.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.098 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
3.099 * [backup-simplify]: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
3.099 * [backup-simplify]: Simplify (- (/ (- (sin (/ 1 x))) 1) (+ (* 1 (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))
3.099 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))
3.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.100 * [backup-simplify]: Simplify (- 0) into 0
3.100 * [backup-simplify]: Simplify (+ 0 0) into 0
3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.101 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
3.101 * [backup-simplify]: Simplify (- 0) into 0
3.102 * [backup-simplify]: Simplify (+ 0 0) into 0
3.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))))
3.103 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))))
3.104 * [backup-simplify]: Simplify (+ (* (- (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) (/ (pow (sin (/ 1 (/ 1 x))) 2) (cos (/ 1 (/ 1 x))))) (pow (/ 1 x) 2)) (+ (* (- (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) (/ 1 x)) 1)) into (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
3.104 * [backup-simplify]: Simplify (log (exp (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))))) into (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x)))
3.104 * [approximate]: Taking taylor expansion of (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in (x) around 0
3.105 * [taylor]: Taking taylor expansion of (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in x
3.105 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
3.105 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
3.105 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.105 * [taylor]: Taking taylor expansion of -1 in x
3.105 * [backup-simplify]: Simplify -1 into -1
3.105 * [taylor]: Taking taylor expansion of x in x
3.105 * [backup-simplify]: Simplify 0 into 0
3.105 * [backup-simplify]: Simplify 1 into 1
3.105 * [backup-simplify]: Simplify (/ -1 1) into -1
3.105 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
3.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.105 * [taylor]: Taking taylor expansion of x in x
3.105 * [backup-simplify]: Simplify 0 into 0
3.105 * [backup-simplify]: Simplify 1 into 1
3.105 * [backup-simplify]: Simplify (/ 1 1) into 1
3.106 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
3.106 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
3.106 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
3.106 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
3.106 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.106 * [taylor]: Taking taylor expansion of -1 in x
3.106 * [backup-simplify]: Simplify -1 into -1
3.106 * [taylor]: Taking taylor expansion of x in x
3.106 * [backup-simplify]: Simplify 0 into 0
3.106 * [backup-simplify]: Simplify 1 into 1
3.106 * [backup-simplify]: Simplify (/ -1 1) into -1
3.106 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
3.106 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
3.106 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.106 * [taylor]: Taking taylor expansion of -1 in x
3.106 * [backup-simplify]: Simplify -1 into -1
3.106 * [taylor]: Taking taylor expansion of x in x
3.106 * [backup-simplify]: Simplify 0 into 0
3.106 * [backup-simplify]: Simplify 1 into 1
3.106 * [backup-simplify]: Simplify (/ -1 1) into -1
3.107 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
3.107 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
3.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.107 * [taylor]: Taking taylor expansion of x in x
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [backup-simplify]: Simplify 1 into 1
3.107 * [backup-simplify]: Simplify (/ 1 1) into 1
3.107 * [backup-simplify]: Simplify (+ 0 1) into 1
3.107 * [backup-simplify]: Simplify (+ 0 1) into 1
3.108 * [backup-simplify]: Simplify (/ 1 1) into 1
3.108 * [taylor]: Taking taylor expansion of (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in x
3.108 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
3.108 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
3.108 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.108 * [taylor]: Taking taylor expansion of -1 in x
3.108 * [backup-simplify]: Simplify -1 into -1
3.108 * [taylor]: Taking taylor expansion of x in x
3.108 * [backup-simplify]: Simplify 0 into 0
3.108 * [backup-simplify]: Simplify 1 into 1
3.108 * [backup-simplify]: Simplify (/ -1 1) into -1
3.108 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
3.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.108 * [taylor]: Taking taylor expansion of x in x
3.108 * [backup-simplify]: Simplify 0 into 0
3.108 * [backup-simplify]: Simplify 1 into 1
3.109 * [backup-simplify]: Simplify (/ 1 1) into 1
3.109 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
3.109 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
3.109 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
3.109 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
3.109 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.109 * [taylor]: Taking taylor expansion of -1 in x
3.109 * [backup-simplify]: Simplify -1 into -1
3.109 * [taylor]: Taking taylor expansion of x in x
3.109 * [backup-simplify]: Simplify 0 into 0
3.109 * [backup-simplify]: Simplify 1 into 1
3.109 * [backup-simplify]: Simplify (/ -1 1) into -1
3.109 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
3.109 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
3.109 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.109 * [taylor]: Taking taylor expansion of -1 in x
3.109 * [backup-simplify]: Simplify -1 into -1
3.109 * [taylor]: Taking taylor expansion of x in x
3.109 * [backup-simplify]: Simplify 0 into 0
3.109 * [backup-simplify]: Simplify 1 into 1
3.110 * [backup-simplify]: Simplify (/ -1 1) into -1
3.110 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
3.110 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
3.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.110 * [taylor]: Taking taylor expansion of x in x
3.110 * [backup-simplify]: Simplify 0 into 0
3.110 * [backup-simplify]: Simplify 1 into 1
3.110 * [backup-simplify]: Simplify (/ 1 1) into 1
3.110 * [backup-simplify]: Simplify (+ 0 1) into 1
3.111 * [backup-simplify]: Simplify (+ 0 1) into 1
3.111 * [backup-simplify]: Simplify (/ 1 1) into 1
3.111 * [backup-simplify]: Simplify 1 into 1
3.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.111 * [backup-simplify]: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x))
3.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.112 * [backup-simplify]: Simplify (+ (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
3.112 * [backup-simplify]: Simplify (- (/ (sin (/ -1 x)) 1) (+ (* 1 (/ (/ (sin (/ -1 x)) (cos (/ -1 x))) 1)))) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))
3.112 * [backup-simplify]: Simplify (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))
3.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.113 * [backup-simplify]: Simplify (+ 0 0) into 0
3.113 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.114 * [backup-simplify]: Simplify (+ 0 0) into 0
3.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) (/ (/ (sin (/ -1 x)) (cos (/ -1 x))) 1)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))
3.115 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))
3.116 * [backup-simplify]: Simplify (+ (* (- (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (cos (/ -1 (/ 1 (- x)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (sin (/ -1 (/ 1 (- x)))) (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (/ 1 (- x))) 1)) into (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
3.117 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
3.117 * [backup-simplify]: Simplify (/ (- x (sin x)) (- x (tan x))) into (/ (- x (sin x)) (- x (tan x)))
3.117 * [approximate]: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in (x) around 0
3.117 * [taylor]: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in x
3.117 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
3.117 * [taylor]: Taking taylor expansion of x in x
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [backup-simplify]: Simplify 1 into 1
3.117 * [taylor]: Taking taylor expansion of (sin x) in x
3.117 * [taylor]: Taking taylor expansion of x in x
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [backup-simplify]: Simplify 1 into 1
3.117 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
3.117 * [taylor]: Taking taylor expansion of x in x
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [backup-simplify]: Simplify 1 into 1
3.117 * [taylor]: Taking taylor expansion of (tan x) in x
3.117 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
3.117 * [taylor]: Taking taylor expansion of (sin x) in x
3.117 * [taylor]: Taking taylor expansion of x in x
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [backup-simplify]: Simplify 1 into 1
3.117 * [taylor]: Taking taylor expansion of (cos x) in x
3.117 * [taylor]: Taking taylor expansion of x in x
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [backup-simplify]: Simplify 1 into 1
3.118 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.118 * [backup-simplify]: Simplify (/ 1 1) into 1
3.118 * [backup-simplify]: Simplify (- 0) into 0
3.118 * [backup-simplify]: Simplify (+ 0 0) into 0
3.119 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.119 * [backup-simplify]: Simplify (- 1) into -1
3.119 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.120 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.120 * [backup-simplify]: Simplify (- 0) into 0
3.120 * [backup-simplify]: Simplify (+ 0 0) into 0
3.121 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.121 * [backup-simplify]: Simplify (- -1/6) into 1/6
3.122 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
3.122 * [backup-simplify]: Simplify (+ 0 0) into 0
3.122 * [backup-simplify]: Simplify (- 1) into -1
3.122 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.123 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.123 * [backup-simplify]: Simplify (+ 0) into 0
3.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
3.124 * [backup-simplify]: Simplify (- 0) into 0
3.124 * [backup-simplify]: Simplify (+ 0 0) into 0
3.125 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.125 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
3.126 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
3.126 * [backup-simplify]: Simplify (- 1/3) into -1/3
3.127 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
3.127 * [backup-simplify]: Simplify (/ 1/6 -1/3) into -1/2
3.127 * [taylor]: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in x
3.127 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
3.127 * [taylor]: Taking taylor expansion of x in x
3.127 * [backup-simplify]: Simplify 0 into 0
3.127 * [backup-simplify]: Simplify 1 into 1
3.127 * [taylor]: Taking taylor expansion of (sin x) in x
3.127 * [taylor]: Taking taylor expansion of x in x
3.127 * [backup-simplify]: Simplify 0 into 0
3.127 * [backup-simplify]: Simplify 1 into 1
3.127 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
3.127 * [taylor]: Taking taylor expansion of x in x
3.127 * [backup-simplify]: Simplify 0 into 0
3.127 * [backup-simplify]: Simplify 1 into 1
3.127 * [taylor]: Taking taylor expansion of (tan x) in x
3.127 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
3.127 * [taylor]: Taking taylor expansion of (sin x) in x
3.127 * [taylor]: Taking taylor expansion of x in x
3.127 * [backup-simplify]: Simplify 0 into 0
3.127 * [backup-simplify]: Simplify 1 into 1
3.127 * [taylor]: Taking taylor expansion of (cos x) in x
3.127 * [taylor]: Taking taylor expansion of x in x
3.127 * [backup-simplify]: Simplify 0 into 0
3.128 * [backup-simplify]: Simplify 1 into 1
3.128 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.128 * [backup-simplify]: Simplify (/ 1 1) into 1
3.128 * [backup-simplify]: Simplify (- 0) into 0
3.129 * [backup-simplify]: Simplify (+ 0 0) into 0
3.129 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.129 * [backup-simplify]: Simplify (- 1) into -1
3.130 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.130 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.130 * [backup-simplify]: Simplify (- 0) into 0
3.130 * [backup-simplify]: Simplify (+ 0 0) into 0
3.131 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.132 * [backup-simplify]: Simplify (- -1/6) into 1/6
3.132 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
3.132 * [backup-simplify]: Simplify (+ 0 0) into 0
3.132 * [backup-simplify]: Simplify (- 1) into -1
3.133 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.133 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.133 * [backup-simplify]: Simplify (+ 0) into 0
3.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
3.134 * [backup-simplify]: Simplify (- 0) into 0
3.134 * [backup-simplify]: Simplify (+ 0 0) into 0
3.135 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.136 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
3.136 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
3.137 * [backup-simplify]: Simplify (- 1/3) into -1/3
3.137 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
3.137 * [backup-simplify]: Simplify (/ 1/6 -1/3) into -1/2
3.137 * [backup-simplify]: Simplify -1/2 into -1/2
3.138 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.138 * [backup-simplify]: Simplify (- 0) into 0
3.139 * [backup-simplify]: Simplify (+ 0 0) into 0
3.140 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.140 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
3.141 * [backup-simplify]: Simplify (- 0) into 0
3.141 * [backup-simplify]: Simplify (+ 0 0) into 0
3.142 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -1/2 (/ 0 -1/3)))) into 0
3.142 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
3.144 * [backup-simplify]: Simplify (- 1/120) into -1/120
3.145 * [backup-simplify]: Simplify (+ 0 -1/120) into -1/120
3.147 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
3.153 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
3.156 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
3.156 * [backup-simplify]: Simplify (- 2/15) into -2/15
3.157 * [backup-simplify]: Simplify (+ 0 -2/15) into -2/15
3.158 * [backup-simplify]: Simplify (- (/ -1/120 -1/3) (+ (* -1/2 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 9/40
3.158 * [backup-simplify]: Simplify 9/40 into 9/40
3.163 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.163 * [backup-simplify]: Simplify (- 0) into 0
3.164 * [backup-simplify]: Simplify (+ 0 0) into 0
3.168 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.170 * [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
3.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ -1/2 1)) (* 2/15 (/ 0 1)))) into 0
3.173 * [backup-simplify]: Simplify (- 0) into 0
3.173 * [backup-simplify]: Simplify (+ 0 0) into 0
3.175 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -1/2 (/ 0 -1/3)) (* 0 (/ -2/15 -1/3)) (* 9/40 (/ 0 -1/3)))) into 0
3.175 * [backup-simplify]: Simplify 0 into 0
3.182 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
3.183 * [backup-simplify]: Simplify (- -1/5040) into 1/5040
3.183 * [backup-simplify]: Simplify (+ 0 1/5040) into 1/5040
3.187 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
3.190 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720
3.191 * [backup-simplify]: Simplify (- (/ -1/5040 1) (+ (* 1 (/ -1/720 1)) (* 0 (/ 0 1)) (* 1/3 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/15 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/315
3.192 * [backup-simplify]: Simplify (- 17/315) into -17/315
3.192 * [backup-simplify]: Simplify (+ 0 -17/315) into -17/315
3.193 * [backup-simplify]: Simplify (- (/ 1/5040 -1/3) (+ (* -1/2 (/ -17/315 -1/3)) (* 0 (/ 0 -1/3)) (* 9/40 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into -27/2800
3.193 * [backup-simplify]: Simplify -27/2800 into -27/2800
3.193 * [backup-simplify]: Simplify (+ (* -27/2800 (pow x 4)) (+ (* 9/40 (pow x 2)) -1/2)) into (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))
3.194 * [backup-simplify]: Simplify (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) into (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x))))
3.194 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in (x) around 0
3.194 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in x
3.194 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
3.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.194 * [taylor]: Taking taylor expansion of x in x
3.194 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify 1 into 1
3.194 * [backup-simplify]: Simplify (/ 1 1) into 1
3.194 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
3.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.194 * [taylor]: Taking taylor expansion of x in x
3.194 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify 1 into 1
3.194 * [backup-simplify]: Simplify (/ 1 1) into 1
3.194 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
3.194 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
3.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.195 * [taylor]: Taking taylor expansion of x in x
3.195 * [backup-simplify]: Simplify 0 into 0
3.195 * [backup-simplify]: Simplify 1 into 1
3.195 * [backup-simplify]: Simplify (/ 1 1) into 1
3.195 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
3.195 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
3.195 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
3.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.195 * [taylor]: Taking taylor expansion of x in x
3.195 * [backup-simplify]: Simplify 0 into 0
3.195 * [backup-simplify]: Simplify 1 into 1
3.195 * [backup-simplify]: Simplify (/ 1 1) into 1
3.195 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
3.195 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
3.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.195 * [taylor]: Taking taylor expansion of x in x
3.195 * [backup-simplify]: Simplify 0 into 0
3.195 * [backup-simplify]: Simplify 1 into 1
3.196 * [backup-simplify]: Simplify (/ 1 1) into 1
3.196 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
3.196 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
3.196 * [backup-simplify]: Simplify (+ 1 0) into 1
3.196 * [backup-simplify]: Simplify (+ 1 0) into 1
3.197 * [backup-simplify]: Simplify (/ 1 1) into 1
3.197 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in x
3.197 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
3.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.197 * [taylor]: Taking taylor expansion of x in x
3.197 * [backup-simplify]: Simplify 0 into 0
3.197 * [backup-simplify]: Simplify 1 into 1
3.197 * [backup-simplify]: Simplify (/ 1 1) into 1
3.197 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
3.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.197 * [taylor]: Taking taylor expansion of x in x
3.197 * [backup-simplify]: Simplify 0 into 0
3.197 * [backup-simplify]: Simplify 1 into 1
3.197 * [backup-simplify]: Simplify (/ 1 1) into 1
3.197 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
3.197 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
3.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.197 * [taylor]: Taking taylor expansion of x in x
3.197 * [backup-simplify]: Simplify 0 into 0
3.197 * [backup-simplify]: Simplify 1 into 1
3.198 * [backup-simplify]: Simplify (/ 1 1) into 1
3.198 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
3.198 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
3.198 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
3.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.198 * [taylor]: Taking taylor expansion of x in x
3.198 * [backup-simplify]: Simplify 0 into 0
3.198 * [backup-simplify]: Simplify 1 into 1
3.198 * [backup-simplify]: Simplify (/ 1 1) into 1
3.198 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
3.198 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
3.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.198 * [taylor]: Taking taylor expansion of x in x
3.198 * [backup-simplify]: Simplify 0 into 0
3.198 * [backup-simplify]: Simplify 1 into 1
3.198 * [backup-simplify]: Simplify (/ 1 1) into 1
3.198 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
3.199 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
3.199 * [backup-simplify]: Simplify (+ 1 0) into 1
3.199 * [backup-simplify]: Simplify (+ 1 0) into 1
3.199 * [backup-simplify]: Simplify (/ 1 1) into 1
3.199 * [backup-simplify]: Simplify 1 into 1
3.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.200 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
3.200 * [backup-simplify]: Simplify (+ 0 (- (sin (/ 1 x)))) into (- (sin (/ 1 x)))
3.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.201 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
3.201 * [backup-simplify]: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
3.201 * [backup-simplify]: Simplify (- (/ (- (sin (/ 1 x))) 1) (+ (* 1 (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))
3.201 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))
3.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.202 * [backup-simplify]: Simplify (- 0) into 0
3.202 * [backup-simplify]: Simplify (+ 0 0) into 0
3.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.203 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
3.203 * [backup-simplify]: Simplify (- 0) into 0
3.203 * [backup-simplify]: Simplify (+ 0 0) into 0
3.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))))
3.205 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))))
3.206 * [backup-simplify]: Simplify (+ (* (- (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) (/ (pow (sin (/ 1 (/ 1 x))) 2) (cos (/ 1 (/ 1 x))))) (pow (/ 1 x) 2)) (+ (* (- (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) (/ 1 x)) 1)) into (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
3.206 * [backup-simplify]: Simplify (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) into (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x)))
3.206 * [approximate]: Taking taylor expansion of (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in (x) around 0
3.206 * [taylor]: Taking taylor expansion of (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in x
3.206 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
3.206 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
3.206 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.206 * [taylor]: Taking taylor expansion of -1 in x
3.206 * [backup-simplify]: Simplify -1 into -1
3.206 * [taylor]: Taking taylor expansion of x in x
3.206 * [backup-simplify]: Simplify 0 into 0
3.206 * [backup-simplify]: Simplify 1 into 1
3.206 * [backup-simplify]: Simplify (/ -1 1) into -1
3.206 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
3.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.206 * [taylor]: Taking taylor expansion of x in x
3.206 * [backup-simplify]: Simplify 0 into 0
3.206 * [backup-simplify]: Simplify 1 into 1
3.207 * [backup-simplify]: Simplify (/ 1 1) into 1
3.207 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
3.207 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
3.207 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
3.207 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
3.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.207 * [taylor]: Taking taylor expansion of -1 in x
3.207 * [backup-simplify]: Simplify -1 into -1
3.207 * [taylor]: Taking taylor expansion of x in x
3.207 * [backup-simplify]: Simplify 0 into 0
3.207 * [backup-simplify]: Simplify 1 into 1
3.207 * [backup-simplify]: Simplify (/ -1 1) into -1
3.207 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
3.207 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
3.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.207 * [taylor]: Taking taylor expansion of -1 in x
3.207 * [backup-simplify]: Simplify -1 into -1
3.207 * [taylor]: Taking taylor expansion of x in x
3.207 * [backup-simplify]: Simplify 0 into 0
3.207 * [backup-simplify]: Simplify 1 into 1
3.208 * [backup-simplify]: Simplify (/ -1 1) into -1
3.208 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
3.208 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
3.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.208 * [taylor]: Taking taylor expansion of x in x
3.208 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify 1 into 1
3.208 * [backup-simplify]: Simplify (/ 1 1) into 1
3.208 * [backup-simplify]: Simplify (+ 0 1) into 1
3.209 * [backup-simplify]: Simplify (+ 0 1) into 1
3.209 * [backup-simplify]: Simplify (/ 1 1) into 1
3.209 * [taylor]: Taking taylor expansion of (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in x
3.209 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
3.209 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
3.209 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.209 * [taylor]: Taking taylor expansion of -1 in x
3.209 * [backup-simplify]: Simplify -1 into -1
3.209 * [taylor]: Taking taylor expansion of x in x
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 1 into 1
3.209 * [backup-simplify]: Simplify (/ -1 1) into -1
3.210 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
3.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.210 * [taylor]: Taking taylor expansion of x in x
3.210 * [backup-simplify]: Simplify 0 into 0
3.210 * [backup-simplify]: Simplify 1 into 1
3.210 * [backup-simplify]: Simplify (/ 1 1) into 1
3.210 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
3.210 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
3.210 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
3.210 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
3.210 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.210 * [taylor]: Taking taylor expansion of -1 in x
3.210 * [backup-simplify]: Simplify -1 into -1
3.210 * [taylor]: Taking taylor expansion of x in x
3.210 * [backup-simplify]: Simplify 0 into 0
3.210 * [backup-simplify]: Simplify 1 into 1
3.211 * [backup-simplify]: Simplify (/ -1 1) into -1
3.211 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
3.211 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
3.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.211 * [taylor]: Taking taylor expansion of -1 in x
3.211 * [backup-simplify]: Simplify -1 into -1
3.211 * [taylor]: Taking taylor expansion of x in x
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify 1 into 1
3.211 * [backup-simplify]: Simplify (/ -1 1) into -1
3.211 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
3.212 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
3.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.212 * [taylor]: Taking taylor expansion of x in x
3.212 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify 1 into 1
3.212 * [backup-simplify]: Simplify (/ 1 1) into 1
3.212 * [backup-simplify]: Simplify (+ 0 1) into 1
3.213 * [backup-simplify]: Simplify (+ 0 1) into 1
3.213 * [backup-simplify]: Simplify (/ 1 1) into 1
3.213 * [backup-simplify]: Simplify 1 into 1
3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.214 * [backup-simplify]: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x))
3.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.215 * [backup-simplify]: Simplify (+ (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
3.215 * [backup-simplify]: Simplify (- (/ (sin (/ -1 x)) 1) (+ (* 1 (/ (/ (sin (/ -1 x)) (cos (/ -1 x))) 1)))) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))
3.216 * [backup-simplify]: Simplify (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))
3.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.217 * [backup-simplify]: Simplify (+ 0 0) into 0
3.217 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
3.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.219 * [backup-simplify]: Simplify (+ 0 0) into 0
3.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) (/ (/ (sin (/ -1 x)) (cos (/ -1 x))) 1)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))
3.221 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))
3.223 * [backup-simplify]: Simplify (+ (* (- (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (cos (/ -1 (/ 1 (- x)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (sin (/ -1 (/ 1 (- x)))) (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (/ 1 (- x))) 1)) into (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
3.223 * * * [progress]: simplifying candidates
3.227 * [simplify]: Simplifying:
  (/ (exp x) (exp (sin x)))
  (log (- x (sin x)))
  (exp (- x (sin x)))
  (* (cbrt (- x (sin x))) (cbrt (- x (sin x))))
  (cbrt (- x (sin x)))
  (* (* (- x (sin x)) (- x (sin x))) (- x (sin x)))
  (sqrt (- x (sin x)))
  (sqrt (- x (sin x)))
  (- (pow x 3) (pow (sin x) 3))
  (+ (* x x) (+ (* (sin x) (sin x)) (* x (sin x))))
  (- (sin x))
  (- (* x x) (* (sin x) (sin x)))
  (+ x (sin x))
  (+ (sqrt x) (sqrt (sin x)))
  (- (sqrt x) (sqrt (sin x)))
  (- x (sin x))
  (- (sin x))
  (/ (exp x) (exp (tan x)))
  (log (- x (tan x)))
  (exp (- x (tan x)))
  (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))
  (cbrt (- x (tan x)))
  (* (* (- x (tan x)) (- x (tan x))) (- x (tan x)))
  (sqrt (- x (tan x)))
  (sqrt (- x (tan x)))
  (- (pow x 3) (pow (tan x) 3))
  (+ (* x x) (+ (* (tan x) (tan x)) (* x (tan x))))
  (- (tan x))
  (- (* x x) (* (tan x) (tan x)))
  (+ x (tan x))
  (+ (sqrt x) (sqrt (tan x)))
  (- (sqrt x) (sqrt (tan x)))
  (- x (tan x))
  (- (tan x))
  (log (* (cbrt (exp (/ (- x (sin x)) (- x (tan x))))) (cbrt (exp (/ (- x (sin x)) (- x (tan x)))))))
  (log (cbrt (exp (/ (- x (sin x)) (- x (tan x))))))
  (log (sqrt (exp (/ (- x (sin x)) (- x (tan x))))))
  (log (sqrt (exp (/ (- x (sin x)) (- x (tan x))))))
  (log 1)
  (log (exp (/ (- x (sin x)) (- x (tan x)))))
  (log (exp (/ x (- x (tan x)))))
  (log (exp (/ (sin x) (- x (tan x)))))
  (log (exp (/ (- x (sin x)) (- x (tan x)))))
  (log (exp (* (cbrt (/ (- x (sin x)) (- x (tan x)))) (cbrt (/ (- x (sin x)) (- x (tan x)))))))
  (log (exp (sqrt (/ (- x (sin x)) (- x (tan x))))))
  (log (exp (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))))
  (log (exp (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x))))))
  (log (exp (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) 1)))
  (log (exp (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (+ (sqrt x) (sqrt (tan x))))))
  (log (exp (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) 1)))
  (log (exp (/ (sqrt (- x (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))))
  (log (exp (/ (sqrt (- x (sin x))) (sqrt (- x (tan x))))))
  (log (exp (/ (sqrt (- x (sin x))) 1)))
  (log (exp (/ (sqrt (- x (sin x))) (+ (sqrt x) (sqrt (tan x))))))
  (log (exp (/ (sqrt (- x (sin x))) 1)))
  (log (exp (/ 1 (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))))
  (log (exp (/ 1 (sqrt (- x (tan x))))))
  (log (exp (/ 1 1)))
  (log (exp (/ 1 (+ (sqrt x) (sqrt (tan x))))))
  (log (exp (/ 1 1)))
  (log (exp (/ (+ (sqrt x) (sqrt (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))))
  (log (exp (/ (+ (sqrt x) (sqrt (sin x))) (sqrt (- x (tan x))))))
  (log (exp (/ (+ (sqrt x) (sqrt (sin x))) 1)))
  (log (exp (/ (+ (sqrt x) (sqrt (sin x))) (+ (sqrt x) (sqrt (tan x))))))
  (log (exp (/ (+ (sqrt x) (sqrt (sin x))) 1)))
  (log (exp (/ 1 (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))))
  (log (exp (/ 1 (sqrt (- x (tan x))))))
  (log (exp (/ 1 1)))
  (log (exp (/ 1 (+ (sqrt x) (sqrt (tan x))))))
  (log (exp (/ 1 1)))
  (log (exp 1))
  (log (exp (- x (sin x))))
  (log (exp (/ (- x (sin x)) (- (pow x 3) (pow (tan x) 3)))))
  (log (exp (/ (- x (sin x)) (- (* x x) (* (tan x) (tan x))))))
  (log (log (exp (/ (- x (sin x)) (- x (tan x))))))
  (exp (log (exp (/ (- x (sin x)) (- x (tan x))))))
  (* (cbrt (log (exp (/ (- x (sin x)) (- x (tan x)))))) (cbrt (log (exp (/ (- x (sin x)) (- x (tan x)))))))
  (cbrt (log (exp (/ (- x (sin x)) (- x (tan x))))))
  (* (* (log (exp (/ (- x (sin x)) (- x (tan x))))) (log (exp (/ (- x (sin x)) (- x (tan x)))))) (log (exp (/ (- x (sin x)) (- x (tan x))))))
  (sqrt (log (exp (/ (- x (sin x)) (- x (tan x))))))
  (sqrt (log (exp (/ (- x (sin x)) (- x (tan x))))))
  (- (log (- x (sin x))) (log (- x (tan x))))
  (log (/ (- x (sin x)) (- x (tan x))))
  (exp (/ (- x (sin x)) (- x (tan x))))
  (/ (* (* (- x (sin x)) (- x (sin x))) (- x (sin x))) (* (* (- x (tan x)) (- x (tan x))) (- x (tan x))))
  (* (cbrt (/ (- x (sin x)) (- x (tan x)))) (cbrt (/ (- x (sin x)) (- x (tan x)))))
  (cbrt (/ (- x (sin x)) (- x (tan x))))
  (* (* (/ (- x (sin x)) (- x (tan x))) (/ (- x (sin x)) (- x (tan x)))) (/ (- x (sin x)) (- x (tan x))))
  (sqrt (/ (- x (sin x)) (- x (tan x))))
  (sqrt (/ (- x (sin x)) (- x (tan x))))
  (- (- x (sin x)))
  (- (- x (tan x)))
  (/ x (- x (tan x)))
  (/ (sin x) (- x (tan x)))
  (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))
  (/ (cbrt (- x (sin x))) (cbrt (- x (tan x))))
  (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x))))
  (/ (cbrt (- x (sin x))) (sqrt (- x (tan x))))
  (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) 1)
  (/ (cbrt (- x (sin x))) (- x (tan x)))
  (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (+ (sqrt x) (sqrt (tan x))))
  (/ (cbrt (- x (sin x))) (- (sqrt x) (sqrt (tan x))))
  (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) 1)
  (/ (cbrt (- x (sin x))) (- x (tan x)))
  (/ (sqrt (- x (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))
  (/ (sqrt (- x (sin x))) (cbrt (- x (tan x))))
  (/ (sqrt (- x (sin x))) (sqrt (- x (tan x))))
  (/ (sqrt (- x (sin x))) (sqrt (- x (tan x))))
  (/ (sqrt (- x (sin x))) 1)
  (/ (sqrt (- x (sin x))) (- x (tan x)))
  (/ (sqrt (- x (sin x))) (+ (sqrt x) (sqrt (tan x))))
  (/ (sqrt (- x (sin x))) (- (sqrt x) (sqrt (tan x))))
  (/ (sqrt (- x (sin x))) 1)
  (/ (sqrt (- x (sin x))) (- x (tan x)))
  (/ 1 (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))
  (/ (- x (sin x)) (cbrt (- x (tan x))))
  (/ 1 (sqrt (- x (tan x))))
  (/ (- x (sin x)) (sqrt (- x (tan x))))
  (/ 1 1)
  (/ (- x (sin x)) (- x (tan x)))
  (/ 1 (+ (sqrt x) (sqrt (tan x))))
  (/ (- x (sin x)) (- (sqrt x) (sqrt (tan x))))
  (/ 1 1)
  (/ (- x (sin x)) (- x (tan x)))
  (/ (+ (sqrt x) (sqrt (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))
  (/ (- (sqrt x) (sqrt (sin x))) (cbrt (- x (tan x))))
  (/ (+ (sqrt x) (sqrt (sin x))) (sqrt (- x (tan x))))
  (/ (- (sqrt x) (sqrt (sin x))) (sqrt (- x (tan x))))
  (/ (+ (sqrt x) (sqrt (sin x))) 1)
  (/ (- (sqrt x) (sqrt (sin x))) (- x (tan x)))
  (/ (+ (sqrt x) (sqrt (sin x))) (+ (sqrt x) (sqrt (tan x))))
  (/ (- (sqrt x) (sqrt (sin x))) (- (sqrt x) (sqrt (tan x))))
  (/ (+ (sqrt x) (sqrt (sin x))) 1)
  (/ (- (sqrt x) (sqrt (sin x))) (- x (tan x)))
  (/ 1 (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))
  (/ (- x (sin x)) (cbrt (- x (tan x))))
  (/ 1 (sqrt (- x (tan x))))
  (/ (- x (sin x)) (sqrt (- x (tan x))))
  (/ 1 1)
  (/ (- x (sin x)) (- x (tan x)))
  (/ 1 (+ (sqrt x) (sqrt (tan x))))
  (/ (- x (sin x)) (- (sqrt x) (sqrt (tan x))))
  (/ 1 1)
  (/ (- x (sin x)) (- x (tan x)))
  (/ 1 (- x (tan x)))
  (/ (- x (tan x)) (- x (sin x)))
  (/ (- x (sin x)) (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))
  (/ (- x (sin x)) (sqrt (- x (tan x))))
  (/ (- x (sin x)) 1)
  (/ (- x (sin x)) (+ (sqrt x) (sqrt (tan x))))
  (/ (- x (sin x)) 1)
  (/ (- x (tan x)) (cbrt (- x (sin x))))
  (/ (- x (tan x)) (sqrt (- x (sin x))))
  (/ (- x (tan x)) (- x (sin x)))
  (/ (- x (tan x)) (- (sqrt x) (sqrt (sin x))))
  (/ (- x (tan x)) (- x (sin x)))
  (/ (- x (sin x)) (- (pow x 3) (pow (tan x) 3)))
  (/ (- x (sin x)) (- (* x x) (* (tan x) (tan x))))
  (* (- x (tan x)) (+ (* x x) (+ (* (sin x) (sin x)) (* x (sin x)))))
  (* (- x (tan x)) (+ x (sin x)))
  (- (+ (* 1/5040 (pow x 7)) (* 1/6 (pow x 3))) (* 1/120 (pow x 5)))
  (- x (sin x))
  (- x (sin x))
  (- (+ (* 17/315 (pow x 7)) (+ (* 1/3 (pow x 3)) (* 2/15 (pow x 5)))))
  (- x (/ (sin x) (cos x)))
  (- x (/ (sin x) (cos x)))
  (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))
  (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
  (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
  (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))
  (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
  (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
4.799 * * * [progress]: adding candidates to table
5.286 * * [progress]: iteration 3 / 4
5.286 * * * [progress]: picking best candidate
5.295 * * * * [pick]: Picked  #<alt (λ (x) (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)))>
5.295 * * * [progress]: localizing error
5.308 * * * [progress]: generating rewritten candidates
5.308 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1)
5.326 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2)
5.336 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
5.383 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
5.455 * * * [progress]: generating series expansions
5.455 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1)
5.455 * [backup-simplify]: Simplify (- x (sin x)) into (- x (sin x))
5.455 * [approximate]: Taking taylor expansion of (- x (sin x)) in (x) around 0
5.455 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
5.455 * [taylor]: Taking taylor expansion of x in x
5.455 * [backup-simplify]: Simplify 0 into 0
5.455 * [backup-simplify]: Simplify 1 into 1
5.455 * [taylor]: Taking taylor expansion of (sin x) in x
5.455 * [taylor]: Taking taylor expansion of x in x
5.455 * [backup-simplify]: Simplify 0 into 0
5.455 * [backup-simplify]: Simplify 1 into 1
5.455 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
5.456 * [taylor]: Taking taylor expansion of x in x
5.456 * [backup-simplify]: Simplify 0 into 0
5.456 * [backup-simplify]: Simplify 1 into 1
5.456 * [taylor]: Taking taylor expansion of (sin x) in x
5.456 * [taylor]: Taking taylor expansion of x in x
5.456 * [backup-simplify]: Simplify 0 into 0
5.456 * [backup-simplify]: Simplify 1 into 1
5.456 * [backup-simplify]: Simplify (- 0) into 0
5.457 * [backup-simplify]: Simplify (+ 0 0) into 0
5.457 * [backup-simplify]: Simplify 0 into 0
5.458 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.458 * [backup-simplify]: Simplify (- 1) into -1
5.459 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.459 * [backup-simplify]: Simplify 0 into 0
5.460 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.460 * [backup-simplify]: Simplify (- 0) into 0
5.460 * [backup-simplify]: Simplify (+ 0 0) into 0
5.460 * [backup-simplify]: Simplify 0 into 0
5.462 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.463 * [backup-simplify]: Simplify (- -1/6) into 1/6
5.463 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
5.463 * [backup-simplify]: Simplify 1/6 into 1/6
5.465 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.465 * [backup-simplify]: Simplify (- 0) into 0
5.466 * [backup-simplify]: Simplify (+ 0 0) into 0
5.466 * [backup-simplify]: Simplify 0 into 0
5.469 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
5.470 * [backup-simplify]: Simplify (- 1/120) into -1/120
5.470 * [backup-simplify]: Simplify (+ 0 -1/120) into -1/120
5.470 * [backup-simplify]: Simplify -1/120 into -1/120
5.475 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.476 * [backup-simplify]: Simplify (- 0) into 0
5.476 * [backup-simplify]: Simplify (+ 0 0) into 0
5.476 * [backup-simplify]: Simplify 0 into 0
5.484 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
5.485 * [backup-simplify]: Simplify (- -1/5040) into 1/5040
5.485 * [backup-simplify]: Simplify (+ 0 1/5040) into 1/5040
5.485 * [backup-simplify]: Simplify 1/5040 into 1/5040
5.486 * [backup-simplify]: Simplify (+ (* 1/5040 (pow x 7)) (+ (* -1/120 (pow x 5)) (* 1/6 (pow x 3)))) into (- (+ (* 1/5040 (pow x 7)) (* 1/6 (pow x 3))) (* 1/120 (pow x 5)))
5.486 * [backup-simplify]: Simplify (- (/ 1 x) (sin (/ 1 x))) into (- (/ 1 x) (sin (/ 1 x)))
5.486 * [approximate]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in (x) around 0
5.486 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
5.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.486 * [taylor]: Taking taylor expansion of x in x
5.486 * [backup-simplify]: Simplify 0 into 0
5.486 * [backup-simplify]: Simplify 1 into 1
5.487 * [backup-simplify]: Simplify (/ 1 1) into 1
5.487 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
5.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.487 * [taylor]: Taking taylor expansion of x in x
5.487 * [backup-simplify]: Simplify 0 into 0
5.487 * [backup-simplify]: Simplify 1 into 1
5.487 * [backup-simplify]: Simplify (/ 1 1) into 1
5.487 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
5.487 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
5.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.487 * [taylor]: Taking taylor expansion of x in x
5.487 * [backup-simplify]: Simplify 0 into 0
5.487 * [backup-simplify]: Simplify 1 into 1
5.487 * [backup-simplify]: Simplify (/ 1 1) into 1
5.487 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
5.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.487 * [taylor]: Taking taylor expansion of x in x
5.487 * [backup-simplify]: Simplify 0 into 0
5.487 * [backup-simplify]: Simplify 1 into 1
5.488 * [backup-simplify]: Simplify (/ 1 1) into 1
5.488 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
5.488 * [backup-simplify]: Simplify (+ 1 0) into 1
5.488 * [backup-simplify]: Simplify 1 into 1
5.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.489 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
5.489 * [backup-simplify]: Simplify (+ 0 (- (sin (/ 1 x)))) into (- (sin (/ 1 x)))
5.489 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
5.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.490 * [backup-simplify]: Simplify (- 0) into 0
5.490 * [backup-simplify]: Simplify (+ 0 0) into 0
5.490 * [backup-simplify]: Simplify 0 into 0
5.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.491 * [backup-simplify]: Simplify (- 0) into 0
5.491 * [backup-simplify]: Simplify (+ 0 0) into 0
5.491 * [backup-simplify]: Simplify 0 into 0
5.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.492 * [backup-simplify]: Simplify (- 0) into 0
5.492 * [backup-simplify]: Simplify (+ 0 0) into 0
5.492 * [backup-simplify]: Simplify 0 into 0
5.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.493 * [backup-simplify]: Simplify (- 0) into 0
5.493 * [backup-simplify]: Simplify (+ 0 0) into 0
5.493 * [backup-simplify]: Simplify 0 into 0
5.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.494 * [backup-simplify]: Simplify (- 0) into 0
5.494 * [backup-simplify]: Simplify (+ 0 0) into 0
5.494 * [backup-simplify]: Simplify 0 into 0
5.495 * [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
5.495 * [backup-simplify]: Simplify (- 0) into 0
5.495 * [backup-simplify]: Simplify (+ 0 0) into 0
5.495 * [backup-simplify]: Simplify 0 into 0
5.496 * [backup-simplify]: Simplify (+ (- (sin (/ 1 (/ 1 x)))) (* 1 (/ 1 (/ 1 x)))) into (- x (sin x))
5.496 * [backup-simplify]: Simplify (- (/ 1 (- x)) (sin (/ 1 (- x)))) into (- (+ (sin (/ -1 x)) (/ 1 x)))
5.496 * [approximate]: Taking taylor expansion of (- (+ (sin (/ -1 x)) (/ 1 x))) in (x) around 0
5.496 * [taylor]: Taking taylor expansion of (- (+ (sin (/ -1 x)) (/ 1 x))) in x
5.496 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
5.496 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
5.496 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.496 * [taylor]: Taking taylor expansion of -1 in x
5.496 * [backup-simplify]: Simplify -1 into -1
5.496 * [taylor]: Taking taylor expansion of x in x
5.496 * [backup-simplify]: Simplify 0 into 0
5.496 * [backup-simplify]: Simplify 1 into 1
5.496 * [backup-simplify]: Simplify (/ -1 1) into -1
5.496 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
5.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.496 * [taylor]: Taking taylor expansion of x in x
5.496 * [backup-simplify]: Simplify 0 into 0
5.496 * [backup-simplify]: Simplify 1 into 1
5.497 * [backup-simplify]: Simplify (/ 1 1) into 1
5.497 * [taylor]: Taking taylor expansion of (- (+ (sin (/ -1 x)) (/ 1 x))) in x
5.497 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
5.497 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
5.497 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.497 * [taylor]: Taking taylor expansion of -1 in x
5.497 * [backup-simplify]: Simplify -1 into -1
5.497 * [taylor]: Taking taylor expansion of x in x
5.497 * [backup-simplify]: Simplify 0 into 0
5.497 * [backup-simplify]: Simplify 1 into 1
5.497 * [backup-simplify]: Simplify (/ -1 1) into -1
5.497 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
5.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.497 * [taylor]: Taking taylor expansion of x in x
5.497 * [backup-simplify]: Simplify 0 into 0
5.497 * [backup-simplify]: Simplify 1 into 1
5.497 * [backup-simplify]: Simplify (/ 1 1) into 1
5.498 * [backup-simplify]: Simplify (+ 0 1) into 1
5.498 * [backup-simplify]: Simplify (- 1) into -1
5.498 * [backup-simplify]: Simplify -1 into -1
5.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.499 * [backup-simplify]: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x))
5.499 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
5.499 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
5.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.499 * [backup-simplify]: Simplify (+ 0 0) into 0
5.500 * [backup-simplify]: Simplify (- 0) into 0
5.500 * [backup-simplify]: Simplify 0 into 0
5.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.500 * [backup-simplify]: Simplify (+ 0 0) into 0
5.501 * [backup-simplify]: Simplify (- 0) into 0
5.501 * [backup-simplify]: Simplify 0 into 0
5.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.502 * [backup-simplify]: Simplify (+ 0 0) into 0
5.502 * [backup-simplify]: Simplify (- 0) into 0
5.502 * [backup-simplify]: Simplify 0 into 0
5.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.503 * [backup-simplify]: Simplify (+ 0 0) into 0
5.503 * [backup-simplify]: Simplify (- 0) into 0
5.503 * [backup-simplify]: Simplify 0 into 0
5.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.504 * [backup-simplify]: Simplify (+ 0 0) into 0
5.504 * [backup-simplify]: Simplify (- 0) into 0
5.504 * [backup-simplify]: Simplify 0 into 0
5.505 * [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
5.505 * [backup-simplify]: Simplify (+ 0 0) into 0
5.505 * [backup-simplify]: Simplify (- 0) into 0
5.505 * [backup-simplify]: Simplify 0 into 0
5.505 * [backup-simplify]: Simplify (+ (- (sin (/ -1 (/ 1 (- x))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (sin x))
5.505 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2)
5.505 * [backup-simplify]: Simplify (- x (tan x)) into (- x (tan x))
5.505 * [approximate]: Taking taylor expansion of (- x (tan x)) in (x) around 0
5.505 * [taylor]: Taking taylor expansion of (- x (tan x)) 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 * [taylor]: Taking taylor expansion of (tan x) in x
5.506 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
5.506 * [taylor]: Taking taylor expansion of (sin x) 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
5.506 * [taylor]: Taking taylor expansion of (cos x) 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
5.506 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.506 * [backup-simplify]: Simplify (/ 1 1) into 1
5.506 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
5.506 * [taylor]: Taking taylor expansion of x in x
5.507 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify 1 into 1
5.507 * [taylor]: Taking taylor expansion of (tan x) in x
5.507 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
5.507 * [taylor]: Taking taylor expansion of (sin x) in x
5.507 * [taylor]: Taking taylor expansion of x in x
5.507 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify 1 into 1
5.507 * [taylor]: Taking taylor expansion of (cos x) in x
5.507 * [taylor]: Taking taylor expansion of x in x
5.507 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify 1 into 1
5.507 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.507 * [backup-simplify]: Simplify (/ 1 1) into 1
5.508 * [backup-simplify]: Simplify (+ 0 0) into 0
5.508 * [backup-simplify]: Simplify 0 into 0
5.508 * [backup-simplify]: Simplify (- 1) into -1
5.508 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.508 * [backup-simplify]: Simplify 0 into 0
5.509 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.509 * [backup-simplify]: Simplify (+ 0) into 0
5.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
5.510 * [backup-simplify]: Simplify (- 0) into 0
5.510 * [backup-simplify]: Simplify (+ 0 0) into 0
5.510 * [backup-simplify]: Simplify 0 into 0
5.511 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.512 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
5.512 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
5.513 * [backup-simplify]: Simplify (- 1/3) into -1/3
5.513 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
5.513 * [backup-simplify]: Simplify -1/3 into -1/3
5.514 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.515 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
5.517 * [backup-simplify]: Simplify (- 0) into 0
5.517 * [backup-simplify]: Simplify (+ 0 0) into 0
5.517 * [backup-simplify]: Simplify 0 into 0
5.521 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
5.524 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
5.527 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
5.527 * [backup-simplify]: Simplify (- 2/15) into -2/15
5.528 * [backup-simplify]: Simplify (+ 0 -2/15) into -2/15
5.528 * [backup-simplify]: Simplify -2/15 into -2/15
5.533 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.535 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ -1/2 1)) (* 2/15 (/ 0 1)))) into 0
5.538 * [backup-simplify]: Simplify (- 0) into 0
5.539 * [backup-simplify]: Simplify (+ 0 0) into 0
5.539 * [backup-simplify]: Simplify 0 into 0
5.547 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
5.552 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720
5.555 * [backup-simplify]: Simplify (- (/ -1/5040 1) (+ (* 1 (/ -1/720 1)) (* 0 (/ 0 1)) (* 1/3 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/15 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/315
5.555 * [backup-simplify]: Simplify (- 17/315) into -17/315
5.556 * [backup-simplify]: Simplify (+ 0 -17/315) into -17/315
5.556 * [backup-simplify]: Simplify -17/315 into -17/315
5.557 * [backup-simplify]: Simplify (+ (* -17/315 (pow x 7)) (+ (* -2/15 (pow x 5)) (* -1/3 (pow x 3)))) into (- (+ (* 17/315 (pow x 7)) (+ (* 1/3 (pow x 3)) (* 2/15 (pow x 5)))))
5.557 * [backup-simplify]: Simplify (- (/ 1 x) (tan (/ 1 x))) into (- (/ 1 x) (tan (/ 1 x)))
5.557 * [approximate]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in (x) around 0
5.557 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
5.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.557 * [taylor]: Taking taylor expansion of x in x
5.557 * [backup-simplify]: Simplify 0 into 0
5.557 * [backup-simplify]: Simplify 1 into 1
5.557 * [backup-simplify]: Simplify (/ 1 1) into 1
5.557 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
5.557 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
5.558 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
5.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.558 * [taylor]: Taking taylor expansion of x in x
5.558 * [backup-simplify]: Simplify 0 into 0
5.558 * [backup-simplify]: Simplify 1 into 1
5.558 * [backup-simplify]: Simplify (/ 1 1) into 1
5.558 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
5.558 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
5.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.558 * [taylor]: Taking taylor expansion of x in x
5.558 * [backup-simplify]: Simplify 0 into 0
5.558 * [backup-simplify]: Simplify 1 into 1
5.559 * [backup-simplify]: Simplify (/ 1 1) into 1
5.559 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
5.559 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
5.559 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
5.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.559 * [taylor]: Taking taylor expansion of x in x
5.559 * [backup-simplify]: Simplify 0 into 0
5.559 * [backup-simplify]: Simplify 1 into 1
5.559 * [backup-simplify]: Simplify (/ 1 1) into 1
5.559 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
5.560 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
5.560 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
5.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.560 * [taylor]: Taking taylor expansion of x in x
5.560 * [backup-simplify]: Simplify 0 into 0
5.560 * [backup-simplify]: Simplify 1 into 1
5.560 * [backup-simplify]: Simplify (/ 1 1) into 1
5.560 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
5.560 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
5.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.560 * [taylor]: Taking taylor expansion of x in x
5.560 * [backup-simplify]: Simplify 0 into 0
5.560 * [backup-simplify]: Simplify 1 into 1
5.561 * [backup-simplify]: Simplify (/ 1 1) into 1
5.561 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
5.561 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
5.562 * [backup-simplify]: Simplify (+ 1 0) into 1
5.562 * [backup-simplify]: Simplify 1 into 1
5.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.563 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
5.563 * [backup-simplify]: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
5.563 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
5.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.564 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
5.565 * [backup-simplify]: Simplify (- 0) into 0
5.565 * [backup-simplify]: Simplify (+ 0 0) into 0
5.565 * [backup-simplify]: Simplify 0 into 0
5.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.567 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
5.567 * [backup-simplify]: Simplify (- 0) into 0
5.567 * [backup-simplify]: Simplify (+ 0 0) into 0
5.567 * [backup-simplify]: Simplify 0 into 0
5.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.569 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
5.569 * [backup-simplify]: Simplify (- 0) into 0
5.570 * [backup-simplify]: Simplify (+ 0 0) into 0
5.570 * [backup-simplify]: Simplify 0 into 0
5.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.571 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
5.572 * [backup-simplify]: Simplify (- 0) into 0
5.572 * [backup-simplify]: Simplify (+ 0 0) into 0
5.572 * [backup-simplify]: Simplify 0 into 0
5.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.574 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
5.574 * [backup-simplify]: Simplify (- 0) into 0
5.575 * [backup-simplify]: Simplify (+ 0 0) into 0
5.575 * [backup-simplify]: Simplify 0 into 0
5.576 * [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
5.576 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
5.577 * [backup-simplify]: Simplify (- 0) into 0
5.577 * [backup-simplify]: Simplify (+ 0 0) into 0
5.577 * [backup-simplify]: Simplify 0 into 0
5.577 * [backup-simplify]: Simplify (+ (- (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x))))) (* 1 (/ 1 (/ 1 x)))) into (- x (/ (sin x) (cos x)))
5.578 * [backup-simplify]: Simplify (- (/ 1 (- x)) (tan (/ 1 (- x)))) into (- (+ (tan (/ -1 x)) (/ 1 x)))
5.578 * [approximate]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in (x) around 0
5.578 * [taylor]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in x
5.578 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
5.578 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
5.578 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
5.578 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
5.578 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.578 * [taylor]: Taking taylor expansion of -1 in x
5.578 * [backup-simplify]: Simplify -1 into -1
5.578 * [taylor]: Taking taylor expansion of x in x
5.578 * [backup-simplify]: Simplify 0 into 0
5.578 * [backup-simplify]: Simplify 1 into 1
5.579 * [backup-simplify]: Simplify (/ -1 1) into -1
5.579 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
5.579 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
5.579 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.579 * [taylor]: Taking taylor expansion of -1 in x
5.579 * [backup-simplify]: Simplify -1 into -1
5.579 * [taylor]: Taking taylor expansion of x in x
5.579 * [backup-simplify]: Simplify 0 into 0
5.579 * [backup-simplify]: Simplify 1 into 1
5.579 * [backup-simplify]: Simplify (/ -1 1) into -1
5.579 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
5.580 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
5.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.580 * [taylor]: Taking taylor expansion of x in x
5.580 * [backup-simplify]: Simplify 0 into 0
5.580 * [backup-simplify]: Simplify 1 into 1
5.580 * [backup-simplify]: Simplify (/ 1 1) into 1
5.580 * [taylor]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in x
5.580 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
5.580 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
5.580 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
5.580 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
5.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.580 * [taylor]: Taking taylor expansion of -1 in x
5.580 * [backup-simplify]: Simplify -1 into -1
5.580 * [taylor]: Taking taylor expansion of x in x
5.580 * [backup-simplify]: Simplify 0 into 0
5.581 * [backup-simplify]: Simplify 1 into 1
5.581 * [backup-simplify]: Simplify (/ -1 1) into -1
5.581 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
5.581 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
5.581 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.581 * [taylor]: Taking taylor expansion of -1 in x
5.581 * [backup-simplify]: Simplify -1 into -1
5.581 * [taylor]: Taking taylor expansion of x in x
5.581 * [backup-simplify]: Simplify 0 into 0
5.581 * [backup-simplify]: Simplify 1 into 1
5.582 * [backup-simplify]: Simplify (/ -1 1) into -1
5.582 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
5.582 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
5.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.582 * [taylor]: Taking taylor expansion of x in x
5.582 * [backup-simplify]: Simplify 0 into 0
5.582 * [backup-simplify]: Simplify 1 into 1
5.582 * [backup-simplify]: Simplify (/ 1 1) into 1
5.583 * [backup-simplify]: Simplify (+ 0 1) into 1
5.583 * [backup-simplify]: Simplify (- 1) into -1
5.583 * [backup-simplify]: Simplify -1 into -1
5.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.585 * [backup-simplify]: Simplify (+ (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
5.585 * [backup-simplify]: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x))))
5.585 * [backup-simplify]: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x))))
5.586 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
5.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.597 * [backup-simplify]: Simplify (+ 0 0) into 0
5.598 * [backup-simplify]: Simplify (- 0) into 0
5.598 * [backup-simplify]: Simplify 0 into 0
5.598 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
5.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.600 * [backup-simplify]: Simplify (+ 0 0) into 0
5.600 * [backup-simplify]: Simplify (- 0) into 0
5.600 * [backup-simplify]: Simplify 0 into 0
5.601 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
5.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.602 * [backup-simplify]: Simplify (+ 0 0) into 0
5.603 * [backup-simplify]: Simplify (- 0) into 0
5.603 * [backup-simplify]: Simplify 0 into 0
5.603 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
5.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.605 * [backup-simplify]: Simplify (+ 0 0) into 0
5.605 * [backup-simplify]: Simplify (- 0) into 0
5.605 * [backup-simplify]: Simplify 0 into 0
5.606 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
5.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.607 * [backup-simplify]: Simplify (+ 0 0) into 0
5.608 * [backup-simplify]: Simplify (- 0) into 0
5.608 * [backup-simplify]: Simplify 0 into 0
5.609 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
5.610 * [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
5.610 * [backup-simplify]: Simplify (+ 0 0) into 0
5.611 * [backup-simplify]: Simplify (- 0) into 0
5.611 * [backup-simplify]: Simplify 0 into 0
5.611 * [backup-simplify]: Simplify (+ (- (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (/ (sin x) (cos x)))
5.611 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
5.611 * [backup-simplify]: Simplify (pow (/ (- x (sin x)) (- x (tan x))) 3) into (pow (/ (- x (sin x)) (- x (tan x))) 3)
5.612 * [approximate]: Taking taylor expansion of (pow (/ (- x (sin x)) (- x (tan x))) 3) in (x) around 0
5.612 * [taylor]: Taking taylor expansion of (pow (/ (- x (sin x)) (- x (tan x))) 3) in x
5.612 * [taylor]: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in x
5.612 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
5.612 * [taylor]: Taking taylor expansion of x in x
5.612 * [backup-simplify]: Simplify 0 into 0
5.612 * [backup-simplify]: Simplify 1 into 1
5.612 * [taylor]: Taking taylor expansion of (sin x) in x
5.612 * [taylor]: Taking taylor expansion of x in x
5.612 * [backup-simplify]: Simplify 0 into 0
5.612 * [backup-simplify]: Simplify 1 into 1
5.612 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
5.612 * [taylor]: Taking taylor expansion of x in x
5.612 * [backup-simplify]: Simplify 0 into 0
5.612 * [backup-simplify]: Simplify 1 into 1
5.612 * [taylor]: Taking taylor expansion of (tan x) in x
5.612 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
5.612 * [taylor]: Taking taylor expansion of (sin x) in x
5.612 * [taylor]: Taking taylor expansion of x in x
5.612 * [backup-simplify]: Simplify 0 into 0
5.612 * [backup-simplify]: Simplify 1 into 1
5.612 * [taylor]: Taking taylor expansion of (cos x) in x
5.612 * [taylor]: Taking taylor expansion of x in x
5.612 * [backup-simplify]: Simplify 0 into 0
5.612 * [backup-simplify]: Simplify 1 into 1
5.613 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.614 * [backup-simplify]: Simplify (/ 1 1) into 1
5.614 * [backup-simplify]: Simplify (- 0) into 0
5.614 * [backup-simplify]: Simplify (+ 0 0) into 0
5.615 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.615 * [backup-simplify]: Simplify (- 1) into -1
5.616 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.617 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.617 * [backup-simplify]: Simplify (- 0) into 0
5.617 * [backup-simplify]: Simplify (+ 0 0) into 0
5.619 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.619 * [backup-simplify]: Simplify (- -1/6) into 1/6
5.620 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
5.620 * [backup-simplify]: Simplify (+ 0 0) into 0
5.621 * [backup-simplify]: Simplify (- 1) into -1
5.621 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.622 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.622 * [backup-simplify]: Simplify (+ 0) into 0
5.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
5.623 * [backup-simplify]: Simplify (- 0) into 0
5.624 * [backup-simplify]: Simplify (+ 0 0) into 0
5.625 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.627 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
5.628 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
5.628 * [backup-simplify]: Simplify (- 1/3) into -1/3
5.629 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
5.630 * [backup-simplify]: Simplify (/ 1/6 -1/3) into -1/2
5.630 * [taylor]: Taking taylor expansion of (pow (/ (- x (sin x)) (- x (tan x))) 3) in x
5.630 * [taylor]: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in x
5.630 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
5.630 * [taylor]: Taking taylor expansion of x in x
5.630 * [backup-simplify]: Simplify 0 into 0
5.630 * [backup-simplify]: Simplify 1 into 1
5.630 * [taylor]: Taking taylor expansion of (sin x) in x
5.630 * [taylor]: Taking taylor expansion of x in x
5.630 * [backup-simplify]: Simplify 0 into 0
5.630 * [backup-simplify]: Simplify 1 into 1
5.630 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
5.630 * [taylor]: Taking taylor expansion of x in x
5.630 * [backup-simplify]: Simplify 0 into 0
5.631 * [backup-simplify]: Simplify 1 into 1
5.631 * [taylor]: Taking taylor expansion of (tan x) in x
5.631 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
5.631 * [taylor]: Taking taylor expansion of (sin x) 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
5.631 * [taylor]: Taking taylor expansion of (cos x) 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 (/ (pow 1 1) 1))) into 1
5.632 * [backup-simplify]: Simplify (/ 1 1) into 1
5.632 * [backup-simplify]: Simplify (- 0) into 0
5.633 * [backup-simplify]: Simplify (+ 0 0) into 0
5.634 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.634 * [backup-simplify]: Simplify (- 1) into -1
5.634 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.635 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.636 * [backup-simplify]: Simplify (- 0) into 0
5.636 * [backup-simplify]: Simplify (+ 0 0) into 0
5.638 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.638 * [backup-simplify]: Simplify (- -1/6) into 1/6
5.638 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
5.639 * [backup-simplify]: Simplify (+ 0 0) into 0
5.639 * [backup-simplify]: Simplify (- 1) into -1
5.640 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.640 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.641 * [backup-simplify]: Simplify (+ 0) into 0
5.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
5.642 * [backup-simplify]: Simplify (- 0) into 0
5.642 * [backup-simplify]: Simplify (+ 0 0) into 0
5.644 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.645 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
5.647 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
5.647 * [backup-simplify]: Simplify (- 1/3) into -1/3
5.647 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
5.648 * [backup-simplify]: Simplify (/ 1/6 -1/3) into -1/2
5.649 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4
5.649 * [backup-simplify]: Simplify (* -1/2 1/4) into -1/8
5.649 * [backup-simplify]: Simplify -1/8 into -1/8
5.651 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.651 * [backup-simplify]: Simplify (- 0) into 0
5.651 * [backup-simplify]: Simplify (+ 0 0) into 0
5.653 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.655 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
5.657 * [backup-simplify]: Simplify (- 0) into 0
5.657 * [backup-simplify]: Simplify (+ 0 0) into 0
5.658 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -1/2 (/ 0 -1/3)))) into 0
5.659 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 -1/2)) into 0
5.659 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1/4)) into 0
5.660 * [backup-simplify]: Simplify 0 into 0
5.663 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
5.664 * [backup-simplify]: Simplify (- 1/120) into -1/120
5.664 * [backup-simplify]: Simplify (+ 0 -1/120) into -1/120
5.668 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
5.672 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
5.674 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
5.674 * [backup-simplify]: Simplify (- 2/15) into -2/15
5.675 * [backup-simplify]: Simplify (+ 0 -2/15) into -2/15
5.676 * [backup-simplify]: Simplify (- (/ -1/120 -1/3) (+ (* -1/2 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 9/40
5.677 * [backup-simplify]: Simplify (+ (* -1/2 9/40) (+ (* 0 0) (* 9/40 -1/2))) into -9/40
5.679 * [backup-simplify]: Simplify (+ (* -1/2 -9/40) (+ (* 0 0) (* 9/40 1/4))) into 27/160
5.679 * [backup-simplify]: Simplify 27/160 into 27/160
5.683 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.684 * [backup-simplify]: Simplify (- 0) into 0
5.684 * [backup-simplify]: Simplify (+ 0 0) into 0
5.689 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.691 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ -1/2 1)) (* 2/15 (/ 0 1)))) into 0
5.694 * [backup-simplify]: Simplify (- 0) into 0
5.694 * [backup-simplify]: Simplify (+ 0 0) into 0
5.696 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -1/2 (/ 0 -1/3)) (* 0 (/ -2/15 -1/3)) (* 9/40 (/ 0 -1/3)))) into 0
5.697 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 9/40) (+ (* 9/40 0) (* 0 -1/2)))) into 0
5.699 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 -9/40) (+ (* 9/40 0) (* 0 1/4)))) into 0
5.699 * [backup-simplify]: Simplify 0 into 0
5.707 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
5.708 * [backup-simplify]: Simplify (- -1/5040) into 1/5040
5.708 * [backup-simplify]: Simplify (+ 0 1/5040) into 1/5040
5.715 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
5.720 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720
5.723 * [backup-simplify]: Simplify (- (/ -1/5040 1) (+ (* 1 (/ -1/720 1)) (* 0 (/ 0 1)) (* 1/3 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/15 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/315
5.723 * [backup-simplify]: Simplify (- 17/315) into -17/315
5.724 * [backup-simplify]: Simplify (+ 0 -17/315) into -17/315
5.726 * [backup-simplify]: Simplify (- (/ 1/5040 -1/3) (+ (* -1/2 (/ -17/315 -1/3)) (* 0 (/ 0 -1/3)) (* 9/40 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into -27/2800
5.728 * [backup-simplify]: Simplify (+ (* -1/2 -27/2800) (+ (* 0 0) (+ (* 9/40 9/40) (+ (* 0 0) (* -27/2800 -1/2))))) into 27/448
5.730 * [backup-simplify]: Simplify (+ (* -1/2 27/448) (+ (* 0 0) (+ (* 9/40 -9/40) (+ (* 0 0) (* -27/2800 1/4))))) into -1863/22400
5.730 * [backup-simplify]: Simplify -1863/22400 into -1863/22400
5.731 * [backup-simplify]: Simplify (+ (* -1863/22400 (pow x 4)) (+ (* 27/160 (pow x 2)) -1/8)) into (- (* 27/160 (pow x 2)) (+ (* 1863/22400 (pow x 4)) 1/8))
5.731 * [backup-simplify]: Simplify (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3) into (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3)
5.731 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3) in (x) around 0
5.731 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3) in x
5.732 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in x
5.732 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
5.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.732 * [taylor]: Taking taylor expansion of x in x
5.732 * [backup-simplify]: Simplify 0 into 0
5.732 * [backup-simplify]: Simplify 1 into 1
5.732 * [backup-simplify]: Simplify (/ 1 1) into 1
5.732 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
5.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.732 * [taylor]: Taking taylor expansion of x in x
5.732 * [backup-simplify]: Simplify 0 into 0
5.732 * [backup-simplify]: Simplify 1 into 1
5.733 * [backup-simplify]: Simplify (/ 1 1) into 1
5.733 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
5.733 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
5.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.733 * [taylor]: Taking taylor expansion of x in x
5.733 * [backup-simplify]: Simplify 0 into 0
5.733 * [backup-simplify]: Simplify 1 into 1
5.733 * [backup-simplify]: Simplify (/ 1 1) into 1
5.734 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
5.734 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
5.734 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
5.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.734 * [taylor]: Taking taylor expansion of x in x
5.734 * [backup-simplify]: Simplify 0 into 0
5.734 * [backup-simplify]: Simplify 1 into 1
5.734 * [backup-simplify]: Simplify (/ 1 1) into 1
5.734 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
5.734 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
5.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.734 * [taylor]: Taking taylor expansion of x in x
5.735 * [backup-simplify]: Simplify 0 into 0
5.735 * [backup-simplify]: Simplify 1 into 1
5.735 * [backup-simplify]: Simplify (/ 1 1) into 1
5.735 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
5.735 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
5.736 * [backup-simplify]: Simplify (+ 1 0) into 1
5.736 * [backup-simplify]: Simplify (+ 1 0) into 1
5.736 * [backup-simplify]: Simplify (/ 1 1) into 1
5.736 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3) in x
5.737 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in x
5.737 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
5.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.737 * [taylor]: Taking taylor expansion of x in x
5.737 * [backup-simplify]: Simplify 0 into 0
5.737 * [backup-simplify]: Simplify 1 into 1
5.737 * [backup-simplify]: Simplify (/ 1 1) into 1
5.737 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
5.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.737 * [taylor]: Taking taylor expansion of x in x
5.737 * [backup-simplify]: Simplify 0 into 0
5.737 * [backup-simplify]: Simplify 1 into 1
5.738 * [backup-simplify]: Simplify (/ 1 1) into 1
5.738 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
5.738 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
5.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.738 * [taylor]: Taking taylor expansion of x in x
5.738 * [backup-simplify]: Simplify 0 into 0
5.738 * [backup-simplify]: Simplify 1 into 1
5.738 * [backup-simplify]: Simplify (/ 1 1) into 1
5.738 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
5.738 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
5.738 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
5.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.739 * [taylor]: Taking taylor expansion of x in x
5.739 * [backup-simplify]: Simplify 0 into 0
5.739 * [backup-simplify]: Simplify 1 into 1
5.739 * [backup-simplify]: Simplify (/ 1 1) into 1
5.739 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
5.739 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
5.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.739 * [taylor]: Taking taylor expansion of x in x
5.739 * [backup-simplify]: Simplify 0 into 0
5.739 * [backup-simplify]: Simplify 1 into 1
5.740 * [backup-simplify]: Simplify (/ 1 1) into 1
5.740 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
5.740 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
5.740 * [backup-simplify]: Simplify (+ 1 0) into 1
5.741 * [backup-simplify]: Simplify (+ 1 0) into 1
5.741 * [backup-simplify]: Simplify (/ 1 1) into 1
5.742 * [backup-simplify]: Simplify (* 1 1) into 1
5.742 * [backup-simplify]: Simplify (* 1 1) into 1
5.742 * [backup-simplify]: Simplify 1 into 1
5.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.743 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
5.743 * [backup-simplify]: Simplify (+ 0 (- (sin (/ 1 x)))) into (- (sin (/ 1 x)))
5.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.744 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
5.744 * [backup-simplify]: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
5.745 * [backup-simplify]: Simplify (- (/ (- (sin (/ 1 x))) 1) (+ (* 1 (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))
5.745 * [backup-simplify]: Simplify (+ (* 1 (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))) (* (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) 1)) into (- (* 2 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 2 (sin (/ 1 x))))
5.746 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 2 (sin (/ 1 x))))) (* (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) 1)) into (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x))))
5.746 * [backup-simplify]: Simplify (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x)))) into (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x))))
5.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.747 * [backup-simplify]: Simplify (- 0) into 0
5.748 * [backup-simplify]: Simplify (+ 0 0) into 0
5.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.749 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
5.749 * [backup-simplify]: Simplify (- 0) into 0
5.750 * [backup-simplify]: Simplify (+ 0 0) into 0
5.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))))
5.754 * [backup-simplify]: Simplify (+ (* 1 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))))) (+ (* (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))) (* (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) 1))) into (- (+ (pow (sin (/ 1 x)) 2) (* 3 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (* 4 (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))))
5.757 * [backup-simplify]: Simplify (+ (* 1 (- (+ (pow (sin (/ 1 x)) 2) (* 3 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (* 4 (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))))) (+ (* (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) (- (* 2 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 2 (sin (/ 1 x))))) (* (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) 1))) into (- (+ (* 3 (pow (sin (/ 1 x)) 2)) (* 6 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (* 9 (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))))
5.759 * [backup-simplify]: Simplify (- (+ (* 3 (pow (sin (/ 1 x)) 2)) (* 6 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (* 9 (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))))) into (- (+ (* 3 (pow (sin (/ 1 x)) 2)) (* 6 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (* 9 (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))))
5.770 * [backup-simplify]: Simplify (+ (* (- (+ (* 3 (pow (sin (/ 1 (/ 1 x))) 2)) (* 6 (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)))) (* 9 (/ (pow (sin (/ 1 (/ 1 x))) 2) (cos (/ 1 (/ 1 x)))))) (pow (/ 1 x) 2)) (+ (* (- (* 3 (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x))))) (* 3 (sin (/ 1 (/ 1 x))))) (/ 1 x)) 1)) into (- (+ (* 3 (/ (sin x) (* x (cos x)))) (+ (* 6 (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))) (+ (* 3 (/ (pow (sin x) 2) (pow x 2))) 1))) (+ (* 3 (/ (sin x) x)) (* 9 (/ (pow (sin x) 2) (* (pow x 2) (cos x))))))
5.770 * [backup-simplify]: Simplify (pow (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) 3) into (pow (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) 3)
5.770 * [approximate]: Taking taylor expansion of (pow (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) 3) in (x) around 0
5.770 * [taylor]: Taking taylor expansion of (pow (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) 3) in x
5.770 * [taylor]: Taking taylor expansion of (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in x
5.770 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
5.771 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
5.771 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.771 * [taylor]: Taking taylor expansion of -1 in x
5.771 * [backup-simplify]: Simplify -1 into -1
5.771 * [taylor]: Taking taylor expansion of x in x
5.771 * [backup-simplify]: Simplify 0 into 0
5.771 * [backup-simplify]: Simplify 1 into 1
5.771 * [backup-simplify]: Simplify (/ -1 1) into -1
5.772 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
5.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.772 * [taylor]: Taking taylor expansion of x in x
5.772 * [backup-simplify]: Simplify 0 into 0
5.772 * [backup-simplify]: Simplify 1 into 1
5.772 * [backup-simplify]: Simplify (/ 1 1) into 1
5.772 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
5.772 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
5.772 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
5.772 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
5.772 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.772 * [taylor]: Taking taylor expansion of -1 in x
5.772 * [backup-simplify]: Simplify -1 into -1
5.772 * [taylor]: Taking taylor expansion of x in x
5.773 * [backup-simplify]: Simplify 0 into 0
5.773 * [backup-simplify]: Simplify 1 into 1
5.773 * [backup-simplify]: Simplify (/ -1 1) into -1
5.773 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
5.773 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
5.773 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.773 * [taylor]: Taking taylor expansion of -1 in x
5.773 * [backup-simplify]: Simplify -1 into -1
5.773 * [taylor]: Taking taylor expansion of x in x
5.773 * [backup-simplify]: Simplify 0 into 0
5.773 * [backup-simplify]: Simplify 1 into 1
5.774 * [backup-simplify]: Simplify (/ -1 1) into -1
5.774 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
5.774 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
5.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.774 * [taylor]: Taking taylor expansion of x in x
5.774 * [backup-simplify]: Simplify 0 into 0
5.774 * [backup-simplify]: Simplify 1 into 1
5.775 * [backup-simplify]: Simplify (/ 1 1) into 1
5.775 * [backup-simplify]: Simplify (+ 0 1) into 1
5.776 * [backup-simplify]: Simplify (+ 0 1) into 1
5.776 * [backup-simplify]: Simplify (/ 1 1) into 1
5.776 * [taylor]: Taking taylor expansion of (pow (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) 3) in x
5.776 * [taylor]: Taking taylor expansion of (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in x
5.776 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
5.776 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
5.776 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.776 * [taylor]: Taking taylor expansion of -1 in x
5.776 * [backup-simplify]: Simplify -1 into -1
5.776 * [taylor]: Taking taylor expansion of x in x
5.776 * [backup-simplify]: Simplify 0 into 0
5.776 * [backup-simplify]: Simplify 1 into 1
5.777 * [backup-simplify]: Simplify (/ -1 1) into -1
5.777 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
5.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.777 * [taylor]: Taking taylor expansion of x in x
5.777 * [backup-simplify]: Simplify 0 into 0
5.777 * [backup-simplify]: Simplify 1 into 1
5.777 * [backup-simplify]: Simplify (/ 1 1) into 1
5.777 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
5.777 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
5.777 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
5.778 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
5.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.778 * [taylor]: Taking taylor expansion of -1 in x
5.778 * [backup-simplify]: Simplify -1 into -1
5.778 * [taylor]: Taking taylor expansion of x in x
5.778 * [backup-simplify]: Simplify 0 into 0
5.778 * [backup-simplify]: Simplify 1 into 1
5.778 * [backup-simplify]: Simplify (/ -1 1) into -1
5.778 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
5.778 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
5.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.778 * [taylor]: Taking taylor expansion of -1 in x
5.778 * [backup-simplify]: Simplify -1 into -1
5.778 * [taylor]: Taking taylor expansion of x in x
5.778 * [backup-simplify]: Simplify 0 into 0
5.778 * [backup-simplify]: Simplify 1 into 1
5.779 * [backup-simplify]: Simplify (/ -1 1) into -1
5.779 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
5.779 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
5.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.779 * [taylor]: Taking taylor expansion of x in x
5.779 * [backup-simplify]: Simplify 0 into 0
5.779 * [backup-simplify]: Simplify 1 into 1
5.780 * [backup-simplify]: Simplify (/ 1 1) into 1
5.780 * [backup-simplify]: Simplify (+ 0 1) into 1
5.781 * [backup-simplify]: Simplify (+ 0 1) into 1
5.781 * [backup-simplify]: Simplify (/ 1 1) into 1
5.781 * [backup-simplify]: Simplify (* 1 1) into 1
5.782 * [backup-simplify]: Simplify (* 1 1) into 1
5.782 * [backup-simplify]: Simplify 1 into 1
5.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.783 * [backup-simplify]: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x))
5.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.784 * [backup-simplify]: Simplify (+ (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
5.784 * [backup-simplify]: Simplify (- (/ (sin (/ -1 x)) 1) (+ (* 1 (/ (/ (sin (/ -1 x)) (cos (/ -1 x))) 1)))) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))
5.785 * [backup-simplify]: Simplify (+ (* 1 (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) 1)) into (- (* 2 (sin (/ -1 x))) (* 2 (/ (sin (/ -1 x)) (cos (/ -1 x)))))
5.785 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (sin (/ -1 x))) (* 2 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) (* (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) 1)) into (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x)))))
5.786 * [backup-simplify]: Simplify (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x)))))
5.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.787 * [backup-simplify]: Simplify (+ 0 0) into 0
5.788 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
5.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.789 * [backup-simplify]: Simplify (+ 0 0) into 0
5.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) (/ (/ (sin (/ -1 x)) (cos (/ -1 x))) 1)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))
5.793 * [backup-simplify]: Simplify (+ (* 1 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))) (+ (* (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) 1))) into (- (+ (* 3 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (pow (sin (/ -1 x)) 2)) (* 4 (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))))
5.796 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* 3 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (pow (sin (/ -1 x)) 2)) (* 4 (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))))) (+ (* (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) (- (* 2 (sin (/ -1 x))) (* 2 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) (* (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) 1))) into (- (+ (* 6 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (* 3 (pow (sin (/ -1 x)) 2))) (* 9 (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))))
5.798 * [backup-simplify]: Simplify (- (+ (* 6 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (* 3 (pow (sin (/ -1 x)) 2))) (* 9 (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))) into (- (+ (* 6 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (* 3 (pow (sin (/ -1 x)) 2))) (* 9 (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))))
5.800 * [backup-simplify]: Simplify (+ (* (- (+ (* 6 (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2))) (* 3 (pow (sin (/ -1 (/ 1 (- x)))) 2))) (* 9 (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (cos (/ -1 (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 3 (sin (/ -1 (/ 1 (- x))))) (* 3 (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x))))))) (/ 1 (- x))) 1)) into (- (+ (* 3 (/ (sin x) (* x (cos x)))) (+ (* 6 (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))) (+ (* 3 (/ (pow (sin x) 2) (pow x 2))) 1))) (+ (* 3 (/ (sin x) x)) (* 9 (/ (pow (sin x) 2) (* (pow x 2) (cos x))))))
5.800 * * * * [progress]: [ 4 / 4 ] generating series at (2)
5.801 * [backup-simplify]: Simplify (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)) into (/ (- x (sin x)) (- x (tan x)))
5.801 * [approximate]: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in (x) around 0
5.801 * [taylor]: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in x
5.801 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
5.801 * [taylor]: Taking taylor expansion of x in x
5.801 * [backup-simplify]: Simplify 0 into 0
5.801 * [backup-simplify]: Simplify 1 into 1
5.801 * [taylor]: Taking taylor expansion of (sin x) in x
5.801 * [taylor]: Taking taylor expansion of x in x
5.801 * [backup-simplify]: Simplify 0 into 0
5.801 * [backup-simplify]: Simplify 1 into 1
5.801 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
5.801 * [taylor]: Taking taylor expansion of x in x
5.801 * [backup-simplify]: Simplify 0 into 0
5.801 * [backup-simplify]: Simplify 1 into 1
5.801 * [taylor]: Taking taylor expansion of (tan x) in x
5.801 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
5.801 * [taylor]: Taking taylor expansion of (sin x) in x
5.801 * [taylor]: Taking taylor expansion of x in x
5.801 * [backup-simplify]: Simplify 0 into 0
5.801 * [backup-simplify]: Simplify 1 into 1
5.801 * [taylor]: Taking taylor expansion of (cos x) in x
5.801 * [taylor]: Taking taylor expansion of x in x
5.801 * [backup-simplify]: Simplify 0 into 0
5.801 * [backup-simplify]: Simplify 1 into 1
5.802 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.803 * [backup-simplify]: Simplify (/ 1 1) into 1
5.804 * [backup-simplify]: Simplify (- 0) into 0
5.804 * [backup-simplify]: Simplify (+ 0 0) into 0
5.805 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.806 * [backup-simplify]: Simplify (- 1) into -1
5.806 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.807 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.808 * [backup-simplify]: Simplify (- 0) into 0
5.808 * [backup-simplify]: Simplify (+ 0 0) into 0
5.810 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.810 * [backup-simplify]: Simplify (- -1/6) into 1/6
5.811 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
5.811 * [backup-simplify]: Simplify (+ 0 0) into 0
5.812 * [backup-simplify]: Simplify (- 1) into -1
5.812 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.813 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.813 * [backup-simplify]: Simplify (+ 0) into 0
5.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
5.814 * [backup-simplify]: Simplify (- 0) into 0
5.815 * [backup-simplify]: Simplify (+ 0 0) into 0
5.816 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.817 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
5.819 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
5.819 * [backup-simplify]: Simplify (- 1/3) into -1/3
5.820 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
5.820 * [backup-simplify]: Simplify (/ 1/6 -1/3) into -1/2
5.820 * [taylor]: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in x
5.820 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
5.820 * [taylor]: Taking taylor expansion of x in x
5.820 * [backup-simplify]: Simplify 0 into 0
5.820 * [backup-simplify]: Simplify 1 into 1
5.820 * [taylor]: Taking taylor expansion of (sin x) in x
5.820 * [taylor]: Taking taylor expansion of x in x
5.820 * [backup-simplify]: Simplify 0 into 0
5.820 * [backup-simplify]: Simplify 1 into 1
5.820 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
5.820 * [taylor]: Taking taylor expansion of x in x
5.821 * [backup-simplify]: Simplify 0 into 0
5.821 * [backup-simplify]: Simplify 1 into 1
5.821 * [taylor]: Taking taylor expansion of (tan x) in x
5.821 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
5.821 * [taylor]: Taking taylor expansion of (sin x) in x
5.821 * [taylor]: Taking taylor expansion of x in x
5.821 * [backup-simplify]: Simplify 0 into 0
5.821 * [backup-simplify]: Simplify 1 into 1
5.821 * [taylor]: Taking taylor expansion of (cos x) in x
5.821 * [taylor]: Taking taylor expansion of x in x
5.821 * [backup-simplify]: Simplify 0 into 0
5.821 * [backup-simplify]: Simplify 1 into 1
5.822 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.822 * [backup-simplify]: Simplify (/ 1 1) into 1
5.822 * [backup-simplify]: Simplify (- 0) into 0
5.823 * [backup-simplify]: Simplify (+ 0 0) into 0
5.823 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.824 * [backup-simplify]: Simplify (- 1) into -1
5.824 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.825 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.825 * [backup-simplify]: Simplify (- 0) into 0
5.826 * [backup-simplify]: Simplify (+ 0 0) into 0
5.827 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.828 * [backup-simplify]: Simplify (- -1/6) into 1/6
5.828 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
5.829 * [backup-simplify]: Simplify (+ 0 0) into 0
5.829 * [backup-simplify]: Simplify (- 1) into -1
5.829 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.830 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.831 * [backup-simplify]: Simplify (+ 0) into 0
5.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
5.832 * [backup-simplify]: Simplify (- 0) into 0
5.832 * [backup-simplify]: Simplify (+ 0 0) into 0
5.834 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.835 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
5.836 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
5.837 * [backup-simplify]: Simplify (- 1/3) into -1/3
5.837 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
5.837 * [backup-simplify]: Simplify (/ 1/6 -1/3) into -1/2
5.838 * [backup-simplify]: Simplify -1/2 into -1/2
5.839 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.840 * [backup-simplify]: Simplify (- 0) into 0
5.840 * [backup-simplify]: Simplify (+ 0 0) into 0
5.841 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.842 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
5.844 * [backup-simplify]: Simplify (- 0) into 0
5.845 * [backup-simplify]: Simplify (+ 0 0) into 0
5.845 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -1/2 (/ 0 -1/3)))) into 0
5.845 * [backup-simplify]: Simplify 0 into 0
5.849 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
5.849 * [backup-simplify]: Simplify (- 1/120) into -1/120
5.850 * [backup-simplify]: Simplify (+ 0 -1/120) into -1/120
5.854 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
5.857 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
5.859 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
5.860 * [backup-simplify]: Simplify (- 2/15) into -2/15
5.860 * [backup-simplify]: Simplify (+ 0 -2/15) into -2/15
5.862 * [backup-simplify]: Simplify (- (/ -1/120 -1/3) (+ (* -1/2 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 9/40
5.862 * [backup-simplify]: Simplify 9/40 into 9/40
5.867 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.867 * [backup-simplify]: Simplify (- 0) into 0
5.867 * [backup-simplify]: Simplify (+ 0 0) into 0
5.872 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.874 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ -1/2 1)) (* 2/15 (/ 0 1)))) into 0
5.877 * [backup-simplify]: Simplify (- 0) into 0
5.878 * [backup-simplify]: Simplify (+ 0 0) into 0
5.879 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -1/2 (/ 0 -1/3)) (* 0 (/ -2/15 -1/3)) (* 9/40 (/ 0 -1/3)))) into 0
5.879 * [backup-simplify]: Simplify 0 into 0
5.887 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
5.888 * [backup-simplify]: Simplify (- -1/5040) into 1/5040
5.888 * [backup-simplify]: Simplify (+ 0 1/5040) into 1/5040
5.896 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
5.902 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720
5.904 * [backup-simplify]: Simplify (- (/ -1/5040 1) (+ (* 1 (/ -1/720 1)) (* 0 (/ 0 1)) (* 1/3 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/15 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/315
5.904 * [backup-simplify]: Simplify (- 17/315) into -17/315
5.904 * [backup-simplify]: Simplify (+ 0 -17/315) into -17/315
5.906 * [backup-simplify]: Simplify (- (/ 1/5040 -1/3) (+ (* -1/2 (/ -17/315 -1/3)) (* 0 (/ 0 -1/3)) (* 9/40 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into -27/2800
5.906 * [backup-simplify]: Simplify -27/2800 into -27/2800
5.906 * [backup-simplify]: Simplify (+ (* -27/2800 (pow x 4)) (+ (* 9/40 (pow x 2)) -1/2)) into (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))
5.906 * [backup-simplify]: Simplify (cbrt (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3)) into (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x))))
5.906 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in (x) around 0
5.906 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in x
5.906 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
5.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.906 * [taylor]: Taking taylor expansion of x in x
5.906 * [backup-simplify]: Simplify 0 into 0
5.907 * [backup-simplify]: Simplify 1 into 1
5.907 * [backup-simplify]: Simplify (/ 1 1) into 1
5.907 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
5.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.907 * [taylor]: Taking taylor expansion of x in x
5.907 * [backup-simplify]: Simplify 0 into 0
5.907 * [backup-simplify]: Simplify 1 into 1
5.907 * [backup-simplify]: Simplify (/ 1 1) into 1
5.907 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
5.907 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
5.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.907 * [taylor]: Taking taylor expansion of x in x
5.907 * [backup-simplify]: Simplify 0 into 0
5.907 * [backup-simplify]: Simplify 1 into 1
5.908 * [backup-simplify]: Simplify (/ 1 1) into 1
5.908 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
5.908 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
5.908 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
5.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.908 * [taylor]: Taking taylor expansion of x in x
5.908 * [backup-simplify]: Simplify 0 into 0
5.908 * [backup-simplify]: Simplify 1 into 1
5.908 * [backup-simplify]: Simplify (/ 1 1) into 1
5.908 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
5.908 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
5.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.908 * [taylor]: Taking taylor expansion of x in x
5.908 * [backup-simplify]: Simplify 0 into 0
5.908 * [backup-simplify]: Simplify 1 into 1
5.908 * [backup-simplify]: Simplify (/ 1 1) into 1
5.908 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
5.908 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
5.909 * [backup-simplify]: Simplify (+ 1 0) into 1
5.909 * [backup-simplify]: Simplify (+ 1 0) into 1
5.909 * [backup-simplify]: Simplify (/ 1 1) into 1
5.909 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in x
5.909 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
5.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.909 * [taylor]: Taking taylor expansion of x in x
5.909 * [backup-simplify]: Simplify 0 into 0
5.909 * [backup-simplify]: Simplify 1 into 1
5.910 * [backup-simplify]: Simplify (/ 1 1) into 1
5.910 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
5.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.910 * [taylor]: Taking taylor expansion of x in x
5.910 * [backup-simplify]: Simplify 0 into 0
5.910 * [backup-simplify]: Simplify 1 into 1
5.910 * [backup-simplify]: Simplify (/ 1 1) into 1
5.910 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
5.910 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
5.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.910 * [taylor]: Taking taylor expansion of x in x
5.910 * [backup-simplify]: Simplify 0 into 0
5.910 * [backup-simplify]: Simplify 1 into 1
5.910 * [backup-simplify]: Simplify (/ 1 1) into 1
5.910 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
5.910 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
5.910 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
5.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.910 * [taylor]: Taking taylor expansion of x in x
5.911 * [backup-simplify]: Simplify 0 into 0
5.911 * [backup-simplify]: Simplify 1 into 1
5.911 * [backup-simplify]: Simplify (/ 1 1) into 1
5.911 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
5.911 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
5.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.911 * [taylor]: Taking taylor expansion of x in x
5.911 * [backup-simplify]: Simplify 0 into 0
5.911 * [backup-simplify]: Simplify 1 into 1
5.911 * [backup-simplify]: Simplify (/ 1 1) into 1
5.911 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
5.911 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
5.912 * [backup-simplify]: Simplify (+ 1 0) into 1
5.912 * [backup-simplify]: Simplify (+ 1 0) into 1
5.912 * [backup-simplify]: Simplify (/ 1 1) into 1
5.912 * [backup-simplify]: Simplify 1 into 1
5.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.913 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
5.913 * [backup-simplify]: Simplify (+ 0 (- (sin (/ 1 x)))) into (- (sin (/ 1 x)))
5.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.913 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
5.914 * [backup-simplify]: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
5.914 * [backup-simplify]: Simplify (- (/ (- (sin (/ 1 x))) 1) (+ (* 1 (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))
5.914 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))
5.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.915 * [backup-simplify]: Simplify (- 0) into 0
5.915 * [backup-simplify]: Simplify (+ 0 0) into 0
5.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.916 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
5.916 * [backup-simplify]: Simplify (- 0) into 0
5.916 * [backup-simplify]: Simplify (+ 0 0) into 0
5.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))))
5.918 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))))
5.918 * [backup-simplify]: Simplify (+ (* (- (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) (/ (pow (sin (/ 1 (/ 1 x))) 2) (cos (/ 1 (/ 1 x))))) (pow (/ 1 x) 2)) (+ (* (- (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) (/ 1 x)) 1)) into (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
5.919 * [backup-simplify]: Simplify (cbrt (pow (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) 3)) into (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x)))
5.919 * [approximate]: Taking taylor expansion of (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in (x) around 0
5.919 * [taylor]: Taking taylor expansion of (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in x
5.919 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
5.919 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
5.919 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.919 * [taylor]: Taking taylor expansion of -1 in x
5.919 * [backup-simplify]: Simplify -1 into -1
5.919 * [taylor]: Taking taylor expansion of x in x
5.919 * [backup-simplify]: Simplify 0 into 0
5.919 * [backup-simplify]: Simplify 1 into 1
5.924 * [backup-simplify]: Simplify (/ -1 1) into -1
5.924 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
5.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.925 * [taylor]: Taking taylor expansion of x in x
5.925 * [backup-simplify]: Simplify 0 into 0
5.925 * [backup-simplify]: Simplify 1 into 1
5.925 * [backup-simplify]: Simplify (/ 1 1) into 1
5.925 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
5.925 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
5.925 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
5.925 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
5.925 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.925 * [taylor]: Taking taylor expansion of -1 in x
5.925 * [backup-simplify]: Simplify -1 into -1
5.925 * [taylor]: Taking taylor expansion of x in x
5.925 * [backup-simplify]: Simplify 0 into 0
5.925 * [backup-simplify]: Simplify 1 into 1
5.926 * [backup-simplify]: Simplify (/ -1 1) into -1
5.926 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
5.926 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
5.926 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.926 * [taylor]: Taking taylor expansion of -1 in x
5.926 * [backup-simplify]: Simplify -1 into -1
5.926 * [taylor]: Taking taylor expansion of x in x
5.926 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify 1 into 1
5.926 * [backup-simplify]: Simplify (/ -1 1) into -1
5.926 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
5.926 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
5.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.926 * [taylor]: Taking taylor expansion of x in x
5.927 * [backup-simplify]: Simplify 0 into 0
5.927 * [backup-simplify]: Simplify 1 into 1
5.927 * [backup-simplify]: Simplify (/ 1 1) into 1
5.927 * [backup-simplify]: Simplify (+ 0 1) into 1
5.928 * [backup-simplify]: Simplify (+ 0 1) into 1
5.928 * [backup-simplify]: Simplify (/ 1 1) into 1
5.928 * [taylor]: Taking taylor expansion of (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in x
5.928 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
5.928 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
5.928 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.928 * [taylor]: Taking taylor expansion of -1 in x
5.928 * [backup-simplify]: Simplify -1 into -1
5.928 * [taylor]: Taking taylor expansion of x in x
5.928 * [backup-simplify]: Simplify 0 into 0
5.928 * [backup-simplify]: Simplify 1 into 1
5.928 * [backup-simplify]: Simplify (/ -1 1) into -1
5.928 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
5.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.928 * [taylor]: Taking taylor expansion of x in x
5.928 * [backup-simplify]: Simplify 0 into 0
5.928 * [backup-simplify]: Simplify 1 into 1
5.929 * [backup-simplify]: Simplify (/ 1 1) into 1
5.929 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
5.929 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
5.929 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
5.929 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
5.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.929 * [taylor]: Taking taylor expansion of -1 in x
5.929 * [backup-simplify]: Simplify -1 into -1
5.929 * [taylor]: Taking taylor expansion of x in x
5.929 * [backup-simplify]: Simplify 0 into 0
5.929 * [backup-simplify]: Simplify 1 into 1
5.929 * [backup-simplify]: Simplify (/ -1 1) into -1
5.929 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
5.929 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
5.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.929 * [taylor]: Taking taylor expansion of -1 in x
5.929 * [backup-simplify]: Simplify -1 into -1
5.929 * [taylor]: Taking taylor expansion of x in x
5.930 * [backup-simplify]: Simplify 0 into 0
5.930 * [backup-simplify]: Simplify 1 into 1
5.930 * [backup-simplify]: Simplify (/ -1 1) into -1
5.930 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
5.930 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
5.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.930 * [taylor]: Taking taylor expansion of x in x
5.930 * [backup-simplify]: Simplify 0 into 0
5.930 * [backup-simplify]: Simplify 1 into 1
5.931 * [backup-simplify]: Simplify (/ 1 1) into 1
5.931 * [backup-simplify]: Simplify (+ 0 1) into 1
5.931 * [backup-simplify]: Simplify (+ 0 1) into 1
5.932 * [backup-simplify]: Simplify (/ 1 1) into 1
5.932 * [backup-simplify]: Simplify 1 into 1
5.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.933 * [backup-simplify]: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x))
5.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.934 * [backup-simplify]: Simplify (+ (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
5.934 * [backup-simplify]: Simplify (- (/ (sin (/ -1 x)) 1) (+ (* 1 (/ (/ (sin (/ -1 x)) (cos (/ -1 x))) 1)))) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))
5.935 * [backup-simplify]: Simplify (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))
5.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.936 * [backup-simplify]: Simplify (+ 0 0) into 0
5.937 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
5.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.938 * [backup-simplify]: Simplify (+ 0 0) into 0
5.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) (/ (/ (sin (/ -1 x)) (cos (/ -1 x))) 1)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))
5.940 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))
5.942 * [backup-simplify]: Simplify (+ (* (- (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (cos (/ -1 (/ 1 (- x)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (sin (/ -1 (/ 1 (- x)))) (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (/ 1 (- x))) 1)) into (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
5.942 * * * [progress]: simplifying candidates
5.949 * [simplify]: Simplifying:
  (/ (exp x) (exp (sin x)))
  (log (- x (sin x)))
  (exp (- x (sin x)))
  (* (cbrt (- x (sin x))) (cbrt (- x (sin x))))
  (cbrt (- x (sin x)))
  (* (* (- x (sin x)) (- x (sin x))) (- x (sin x)))
  (sqrt (- x (sin x)))
  (sqrt (- x (sin x)))
  (- (pow x 3) (pow (sin x) 3))
  (+ (* x x) (+ (* (sin x) (sin x)) (* x (sin x))))
  (- (sin x))
  (- (* x x) (* (sin x) (sin x)))
  (+ x (sin x))
  (+ (sqrt x) (sqrt (sin x)))
  (- (sqrt x) (sqrt (sin x)))
  (- x (sin x))
  (- (sin x))
  (/ (exp x) (exp (tan x)))
  (log (- x (tan x)))
  (exp (- x (tan x)))
  (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))
  (cbrt (- x (tan x)))
  (* (* (- x (tan x)) (- x (tan x))) (- x (tan x)))
  (sqrt (- x (tan x)))
  (sqrt (- x (tan x)))
  (- (pow x 3) (pow (tan x) 3))
  (+ (* x x) (+ (* (tan x) (tan x)) (* x (tan x))))
  (- (tan x))
  (- (* x x) (* (tan x) (tan x)))
  (+ x (tan x))
  (+ (sqrt x) (sqrt (tan x)))
  (- (sqrt x) (sqrt (tan x)))
  (- x (tan x))
  (- (tan x))
  (* (- (log (- x (sin x))) (log (- x (tan x)))) 3)
  (* (log (/ (- x (sin x)) (- x (tan x)))) 3)
  (* (log (/ (- x (sin x)) (- x (tan x)))) 3)
  (* 1 3)
  (pow (/ (- x (sin x)) (- x (tan x))) (* (cbrt 3) (cbrt 3)))
  (pow (/ (- x (sin x)) (- x (tan x))) (sqrt 3))
  (pow (/ (- x (sin x)) (- x (tan x))) 1)
  (pow (* (cbrt (/ (- x (sin x)) (- x (tan x)))) (cbrt (/ (- x (sin x)) (- x (tan x))))) 3)
  (pow (cbrt (/ (- x (sin x)) (- x (tan x)))) 3)
  (pow (sqrt (/ (- x (sin x)) (- x (tan x)))) 3)
  (pow (sqrt (/ (- x (sin x)) (- x (tan x)))) 3)
  (pow (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) 3)
  (pow (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) 3)
  (pow (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) 3)
  (pow (/ (cbrt (- x (sin x))) (sqrt (- x (tan x)))) 3)
  (pow (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) 1) 3)
  (pow (/ (cbrt (- x (sin x))) (- x (tan x))) 3)
  (pow (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (+ (sqrt x) (sqrt (tan x)))) 3)
  (pow (/ (cbrt (- x (sin x))) (- (sqrt x) (sqrt (tan x)))) 3)
  (pow (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) 1) 3)
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  (cbrt (* (/ (- x (sin x)) (- x (tan x))) (/ (- x (sin x)) (- x (tan x)))))
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  (* (cbrt (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3))) (cbrt (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3))))
  (cbrt (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)))
  (* (* (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)) (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3))) (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)))
  (sqrt (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)))
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  (- (+ (* 1/5040 (pow x 7)) (* 1/6 (pow x 3))) (* 1/120 (pow x 5)))
  (- x (sin x))
  (- x (sin x))
  (- (+ (* 17/315 (pow x 7)) (+ (* 1/3 (pow x 3)) (* 2/15 (pow x 5)))))
  (- x (/ (sin x) (cos x)))
  (- x (/ (sin x) (cos x)))
  (- (* 27/160 (pow x 2)) (+ (* 1863/22400 (pow x 4)) 1/8))
  (- (+ (* 3 (/ (sin x) (* x (cos x)))) (+ (* 6 (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))) (+ (* 3 (/ (pow (sin x) 2) (pow x 2))) 1))) (+ (* 3 (/ (sin x) x)) (* 9 (/ (pow (sin x) 2) (* (pow x 2) (cos x))))))
  (- (+ (* 3 (/ (sin x) (* x (cos x)))) (+ (* 6 (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))) (+ (* 3 (/ (pow (sin x) 2) (pow x 2))) 1))) (+ (* 3 (/ (sin x) x)) (* 9 (/ (pow (sin x) 2) (* (pow x 2) (cos x))))))
  (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))
  (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
  (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
7.211 * * * [progress]: adding candidates to table
7.708 * * [progress]: iteration 4 / 4
7.708 * * * [progress]: picking best candidate
7.715 * * * * [pick]: Picked  #<alt (λ (x) (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))))>
7.715 * * * [progress]: localizing error
7.731 * * * [progress]: generating rewritten candidates
7.732 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
7.743 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
7.754 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
7.872 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
7.902 * * * [progress]: generating series expansions
7.902 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
7.902 * [backup-simplify]: Simplify (- x (tan x)) into (- x (tan x))
7.902 * [approximate]: Taking taylor expansion of (- x (tan x)) in (x) around 0
7.902 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
7.902 * [taylor]: Taking taylor expansion of x in x
7.903 * [backup-simplify]: Simplify 0 into 0
7.903 * [backup-simplify]: Simplify 1 into 1
7.903 * [taylor]: Taking taylor expansion of (tan x) in x
7.903 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
7.903 * [taylor]: Taking taylor expansion of (sin x) in x
7.903 * [taylor]: Taking taylor expansion of x in x
7.903 * [backup-simplify]: Simplify 0 into 0
7.903 * [backup-simplify]: Simplify 1 into 1
7.903 * [taylor]: Taking taylor expansion of (cos x) in x
7.903 * [taylor]: Taking taylor expansion of x in x
7.903 * [backup-simplify]: Simplify 0 into 0
7.903 * [backup-simplify]: Simplify 1 into 1
7.904 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.904 * [backup-simplify]: Simplify (/ 1 1) into 1
7.904 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
7.904 * [taylor]: Taking taylor expansion of x in x
7.904 * [backup-simplify]: Simplify 0 into 0
7.904 * [backup-simplify]: Simplify 1 into 1
7.904 * [taylor]: Taking taylor expansion of (tan x) in x
7.904 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
7.904 * [taylor]: Taking taylor expansion of (sin x) in x
7.904 * [taylor]: Taking taylor expansion of x in x
7.904 * [backup-simplify]: Simplify 0 into 0
7.904 * [backup-simplify]: Simplify 1 into 1
7.904 * [taylor]: Taking taylor expansion of (cos x) in x
7.904 * [taylor]: Taking taylor expansion of x in x
7.904 * [backup-simplify]: Simplify 0 into 0
7.904 * [backup-simplify]: Simplify 1 into 1
7.905 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.905 * [backup-simplify]: Simplify (/ 1 1) into 1
7.905 * [backup-simplify]: Simplify (+ 0 0) into 0
7.905 * [backup-simplify]: Simplify 0 into 0
7.905 * [backup-simplify]: Simplify (- 1) into -1
7.906 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.906 * [backup-simplify]: Simplify 0 into 0
7.906 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.907 * [backup-simplify]: Simplify (+ 0) into 0
7.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.907 * [backup-simplify]: Simplify (- 0) into 0
7.908 * [backup-simplify]: Simplify (+ 0 0) into 0
7.908 * [backup-simplify]: Simplify 0 into 0
7.909 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.909 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
7.910 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
7.910 * [backup-simplify]: Simplify (- 1/3) into -1/3
7.911 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
7.911 * [backup-simplify]: Simplify -1/3 into -1/3
7.912 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.912 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
7.913 * [backup-simplify]: Simplify (- 0) into 0
7.913 * [backup-simplify]: Simplify (+ 0 0) into 0
7.914 * [backup-simplify]: Simplify 0 into 0
7.916 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
7.917 * [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
7.919 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
7.920 * [backup-simplify]: Simplify (- 2/15) into -2/15
7.920 * [backup-simplify]: Simplify (+ 0 -2/15) into -2/15
7.920 * [backup-simplify]: Simplify -2/15 into -2/15
7.925 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.928 * [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
7.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ -1/2 1)) (* 2/15 (/ 0 1)))) into 0
7.931 * [backup-simplify]: Simplify (- 0) into 0
7.931 * [backup-simplify]: Simplify (+ 0 0) into 0
7.932 * [backup-simplify]: Simplify 0 into 0
7.940 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
7.946 * [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
7.949 * [backup-simplify]: Simplify (- (/ -1/5040 1) (+ (* 1 (/ -1/720 1)) (* 0 (/ 0 1)) (* 1/3 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/15 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/315
7.950 * [backup-simplify]: Simplify (- 17/315) into -17/315
7.950 * [backup-simplify]: Simplify (+ 0 -17/315) into -17/315
7.950 * [backup-simplify]: Simplify -17/315 into -17/315
7.951 * [backup-simplify]: Simplify (+ (* -17/315 (pow x 7)) (+ (* -2/15 (pow x 5)) (* -1/3 (pow x 3)))) into (- (+ (* 17/315 (pow x 7)) (+ (* 1/3 (pow x 3)) (* 2/15 (pow x 5)))))
7.951 * [backup-simplify]: Simplify (- (/ 1 x) (tan (/ 1 x))) into (- (/ 1 x) (tan (/ 1 x)))
7.951 * [approximate]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in (x) around 0
7.951 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
7.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.951 * [taylor]: Taking taylor expansion of x in x
7.951 * [backup-simplify]: Simplify 0 into 0
7.951 * [backup-simplify]: Simplify 1 into 1
7.952 * [backup-simplify]: Simplify (/ 1 1) into 1
7.952 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
7.952 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.952 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.952 * [taylor]: Taking taylor expansion of x in x
7.952 * [backup-simplify]: Simplify 0 into 0
7.952 * [backup-simplify]: Simplify 1 into 1
7.952 * [backup-simplify]: Simplify (/ 1 1) into 1
7.952 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.952 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
7.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.952 * [taylor]: Taking taylor expansion of x in x
7.952 * [backup-simplify]: Simplify 0 into 0
7.952 * [backup-simplify]: Simplify 1 into 1
7.953 * [backup-simplify]: Simplify (/ 1 1) into 1
7.953 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
7.953 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.953 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
7.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.953 * [taylor]: Taking taylor expansion of x in x
7.953 * [backup-simplify]: Simplify 0 into 0
7.953 * [backup-simplify]: Simplify 1 into 1
7.954 * [backup-simplify]: Simplify (/ 1 1) into 1
7.954 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
7.954 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.954 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.954 * [taylor]: Taking taylor expansion of x in x
7.954 * [backup-simplify]: Simplify 0 into 0
7.954 * [backup-simplify]: Simplify 1 into 1
7.954 * [backup-simplify]: Simplify (/ 1 1) into 1
7.955 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.955 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
7.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.955 * [taylor]: Taking taylor expansion of x in x
7.955 * [backup-simplify]: Simplify 0 into 0
7.955 * [backup-simplify]: Simplify 1 into 1
7.955 * [backup-simplify]: Simplify (/ 1 1) into 1
7.955 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
7.955 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.956 * [backup-simplify]: Simplify (+ 1 0) into 1
7.956 * [backup-simplify]: Simplify 1 into 1
7.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.956 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
7.956 * [backup-simplify]: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
7.956 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
7.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.957 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
7.958 * [backup-simplify]: Simplify (- 0) into 0
7.958 * [backup-simplify]: Simplify (+ 0 0) into 0
7.958 * [backup-simplify]: Simplify 0 into 0
7.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.959 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
7.959 * [backup-simplify]: Simplify (- 0) into 0
7.959 * [backup-simplify]: Simplify (+ 0 0) into 0
7.959 * [backup-simplify]: Simplify 0 into 0
7.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.961 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
7.961 * [backup-simplify]: Simplify (- 0) into 0
7.961 * [backup-simplify]: Simplify (+ 0 0) into 0
7.961 * [backup-simplify]: Simplify 0 into 0
7.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.962 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
7.962 * [backup-simplify]: Simplify (- 0) into 0
7.963 * [backup-simplify]: Simplify (+ 0 0) into 0
7.963 * [backup-simplify]: Simplify 0 into 0
7.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.964 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
7.964 * [backup-simplify]: Simplify (- 0) into 0
7.964 * [backup-simplify]: Simplify (+ 0 0) into 0
7.964 * [backup-simplify]: Simplify 0 into 0
7.965 * [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
7.965 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
7.965 * [backup-simplify]: Simplify (- 0) into 0
7.966 * [backup-simplify]: Simplify (+ 0 0) into 0
7.966 * [backup-simplify]: Simplify 0 into 0
7.966 * [backup-simplify]: Simplify (+ (- (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x))))) (* 1 (/ 1 (/ 1 x)))) into (- x (/ (sin x) (cos x)))
7.966 * [backup-simplify]: Simplify (- (/ 1 (- x)) (tan (/ 1 (- x)))) into (- (+ (tan (/ -1 x)) (/ 1 x)))
7.966 * [approximate]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in (x) around 0
7.966 * [taylor]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in x
7.966 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
7.966 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
7.966 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.966 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.966 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.966 * [taylor]: Taking taylor expansion of -1 in x
7.966 * [backup-simplify]: Simplify -1 into -1
7.966 * [taylor]: Taking taylor expansion of x in x
7.966 * [backup-simplify]: Simplify 0 into 0
7.966 * [backup-simplify]: Simplify 1 into 1
7.967 * [backup-simplify]: Simplify (/ -1 1) into -1
7.967 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.967 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
7.967 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.967 * [taylor]: Taking taylor expansion of -1 in x
7.967 * [backup-simplify]: Simplify -1 into -1
7.967 * [taylor]: Taking taylor expansion of x in x
7.967 * [backup-simplify]: Simplify 0 into 0
7.967 * [backup-simplify]: Simplify 1 into 1
7.967 * [backup-simplify]: Simplify (/ -1 1) into -1
7.967 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
7.967 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.967 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.967 * [taylor]: Taking taylor expansion of x in x
7.967 * [backup-simplify]: Simplify 0 into 0
7.967 * [backup-simplify]: Simplify 1 into 1
7.968 * [backup-simplify]: Simplify (/ 1 1) into 1
7.968 * [taylor]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in x
7.968 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
7.968 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
7.968 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.968 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.968 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.968 * [taylor]: Taking taylor expansion of -1 in x
7.968 * [backup-simplify]: Simplify -1 into -1
7.968 * [taylor]: Taking taylor expansion of x in x
7.968 * [backup-simplify]: Simplify 0 into 0
7.968 * [backup-simplify]: Simplify 1 into 1
7.968 * [backup-simplify]: Simplify (/ -1 1) into -1
7.968 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.968 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
7.968 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.968 * [taylor]: Taking taylor expansion of -1 in x
7.968 * [backup-simplify]: Simplify -1 into -1
7.968 * [taylor]: Taking taylor expansion of x in x
7.968 * [backup-simplify]: Simplify 0 into 0
7.968 * [backup-simplify]: Simplify 1 into 1
7.969 * [backup-simplify]: Simplify (/ -1 1) into -1
7.969 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
7.969 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.969 * [taylor]: Taking taylor expansion of x in x
7.969 * [backup-simplify]: Simplify 0 into 0
7.969 * [backup-simplify]: Simplify 1 into 1
7.969 * [backup-simplify]: Simplify (/ 1 1) into 1
7.969 * [backup-simplify]: Simplify (+ 0 1) into 1
7.970 * [backup-simplify]: Simplify (- 1) into -1
7.970 * [backup-simplify]: Simplify -1 into -1
7.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.970 * [backup-simplify]: Simplify (+ (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.970 * [backup-simplify]: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x))))
7.970 * [backup-simplify]: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x))))
7.971 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
7.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.971 * [backup-simplify]: Simplify (+ 0 0) into 0
7.972 * [backup-simplify]: Simplify (- 0) into 0
7.972 * [backup-simplify]: Simplify 0 into 0
7.972 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
7.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.973 * [backup-simplify]: Simplify (+ 0 0) into 0
7.973 * [backup-simplify]: Simplify (- 0) into 0
7.973 * [backup-simplify]: Simplify 0 into 0
7.973 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
7.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.974 * [backup-simplify]: Simplify (+ 0 0) into 0
7.974 * [backup-simplify]: Simplify (- 0) into 0
7.974 * [backup-simplify]: Simplify 0 into 0
7.975 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
7.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.976 * [backup-simplify]: Simplify (+ 0 0) into 0
7.976 * [backup-simplify]: Simplify (- 0) into 0
7.976 * [backup-simplify]: Simplify 0 into 0
7.976 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
7.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.977 * [backup-simplify]: Simplify (+ 0 0) into 0
7.977 * [backup-simplify]: Simplify (- 0) into 0
7.977 * [backup-simplify]: Simplify 0 into 0
7.978 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
7.979 * [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
7.979 * [backup-simplify]: Simplify (+ 0 0) into 0
7.979 * [backup-simplify]: Simplify (- 0) into 0
7.979 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify (+ (- (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (/ (sin x) (cos x)))
7.980 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
7.980 * [backup-simplify]: Simplify (- x (tan x)) into (- x (tan x))
7.980 * [approximate]: Taking taylor expansion of (- x (tan x)) in (x) around 0
7.980 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
7.980 * [taylor]: Taking taylor expansion of x in x
7.980 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify 1 into 1
7.980 * [taylor]: Taking taylor expansion of (tan x) in x
7.980 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
7.980 * [taylor]: Taking taylor expansion of (sin x) in x
7.980 * [taylor]: Taking taylor expansion of x in x
7.980 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify 1 into 1
7.980 * [taylor]: Taking taylor expansion of (cos x) in x
7.981 * [taylor]: Taking taylor expansion of x in x
7.981 * [backup-simplify]: Simplify 0 into 0
7.981 * [backup-simplify]: Simplify 1 into 1
7.981 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.982 * [backup-simplify]: Simplify (/ 1 1) into 1
7.982 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
7.982 * [taylor]: Taking taylor expansion of x in x
7.982 * [backup-simplify]: Simplify 0 into 0
7.982 * [backup-simplify]: Simplify 1 into 1
7.982 * [taylor]: Taking taylor expansion of (tan x) in x
7.982 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
7.982 * [taylor]: Taking taylor expansion of (sin x) in x
7.982 * [taylor]: Taking taylor expansion of x in x
7.982 * [backup-simplify]: Simplify 0 into 0
7.982 * [backup-simplify]: Simplify 1 into 1
7.982 * [taylor]: Taking taylor expansion of (cos x) in x
7.982 * [taylor]: Taking taylor expansion of x in x
7.982 * [backup-simplify]: Simplify 0 into 0
7.982 * [backup-simplify]: Simplify 1 into 1
7.983 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.983 * [backup-simplify]: Simplify (/ 1 1) into 1
7.984 * [backup-simplify]: Simplify (+ 0 0) into 0
7.984 * [backup-simplify]: Simplify 0 into 0
7.984 * [backup-simplify]: Simplify (- 1) into -1
7.985 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.985 * [backup-simplify]: Simplify 0 into 0
7.985 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.986 * [backup-simplify]: Simplify (+ 0) into 0
7.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.987 * [backup-simplify]: Simplify (- 0) into 0
7.987 * [backup-simplify]: Simplify (+ 0 0) into 0
7.987 * [backup-simplify]: Simplify 0 into 0
7.989 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.990 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
7.992 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
7.992 * [backup-simplify]: Simplify (- 1/3) into -1/3
7.992 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
7.992 * [backup-simplify]: Simplify -1/3 into -1/3
7.994 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.996 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
7.997 * [backup-simplify]: Simplify (- 0) into 0
7.998 * [backup-simplify]: Simplify (+ 0 0) into 0
7.998 * [backup-simplify]: Simplify 0 into 0
8.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
8.003 * [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
8.005 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
8.005 * [backup-simplify]: Simplify (- 2/15) into -2/15
8.005 * [backup-simplify]: Simplify (+ 0 -2/15) into -2/15
8.005 * [backup-simplify]: Simplify -2/15 into -2/15
8.008 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
8.009 * [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
8.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ -1/2 1)) (* 2/15 (/ 0 1)))) into 0
8.017 * [backup-simplify]: Simplify (- 0) into 0
8.017 * [backup-simplify]: Simplify (+ 0 0) into 0
8.017 * [backup-simplify]: Simplify 0 into 0
8.021 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
8.024 * [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
8.026 * [backup-simplify]: Simplify (- (/ -1/5040 1) (+ (* 1 (/ -1/720 1)) (* 0 (/ 0 1)) (* 1/3 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/15 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/315
8.026 * [backup-simplify]: Simplify (- 17/315) into -17/315
8.027 * [backup-simplify]: Simplify (+ 0 -17/315) into -17/315
8.027 * [backup-simplify]: Simplify -17/315 into -17/315
8.027 * [backup-simplify]: Simplify (+ (* -17/315 (pow x 7)) (+ (* -2/15 (pow x 5)) (* -1/3 (pow x 3)))) into (- (+ (* 17/315 (pow x 7)) (+ (* 1/3 (pow x 3)) (* 2/15 (pow x 5)))))
8.027 * [backup-simplify]: Simplify (- (/ 1 x) (tan (/ 1 x))) into (- (/ 1 x) (tan (/ 1 x)))
8.027 * [approximate]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in (x) around 0
8.027 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
8.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.027 * [taylor]: Taking taylor expansion of x in x
8.027 * [backup-simplify]: Simplify 0 into 0
8.027 * [backup-simplify]: Simplify 1 into 1
8.028 * [backup-simplify]: Simplify (/ 1 1) into 1
8.028 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
8.028 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
8.028 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
8.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.028 * [taylor]: Taking taylor expansion of x in x
8.028 * [backup-simplify]: Simplify 0 into 0
8.028 * [backup-simplify]: Simplify 1 into 1
8.028 * [backup-simplify]: Simplify (/ 1 1) into 1
8.028 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
8.028 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
8.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.028 * [taylor]: Taking taylor expansion of x in x
8.028 * [backup-simplify]: Simplify 0 into 0
8.028 * [backup-simplify]: Simplify 1 into 1
8.029 * [backup-simplify]: Simplify (/ 1 1) into 1
8.029 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
8.029 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
8.029 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
8.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.029 * [taylor]: Taking taylor expansion of x in x
8.029 * [backup-simplify]: Simplify 0 into 0
8.029 * [backup-simplify]: Simplify 1 into 1
8.029 * [backup-simplify]: Simplify (/ 1 1) into 1
8.029 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
8.029 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
8.029 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
8.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.029 * [taylor]: Taking taylor expansion of x in x
8.029 * [backup-simplify]: Simplify 0 into 0
8.029 * [backup-simplify]: Simplify 1 into 1
8.030 * [backup-simplify]: Simplify (/ 1 1) into 1
8.030 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
8.030 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
8.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.030 * [taylor]: Taking taylor expansion of x in x
8.030 * [backup-simplify]: Simplify 0 into 0
8.030 * [backup-simplify]: Simplify 1 into 1
8.030 * [backup-simplify]: Simplify (/ 1 1) into 1
8.030 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
8.030 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
8.031 * [backup-simplify]: Simplify (+ 1 0) into 1
8.031 * [backup-simplify]: Simplify 1 into 1
8.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.032 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
8.032 * [backup-simplify]: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
8.032 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
8.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.034 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
8.034 * [backup-simplify]: Simplify (- 0) into 0
8.034 * [backup-simplify]: Simplify (+ 0 0) into 0
8.034 * [backup-simplify]: Simplify 0 into 0
8.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.036 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
8.037 * [backup-simplify]: Simplify (- 0) into 0
8.037 * [backup-simplify]: Simplify (+ 0 0) into 0
8.037 * [backup-simplify]: Simplify 0 into 0
8.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.038 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
8.039 * [backup-simplify]: Simplify (- 0) into 0
8.039 * [backup-simplify]: Simplify (+ 0 0) into 0
8.039 * [backup-simplify]: Simplify 0 into 0
8.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.040 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
8.040 * [backup-simplify]: Simplify (- 0) into 0
8.040 * [backup-simplify]: Simplify (+ 0 0) into 0
8.040 * [backup-simplify]: Simplify 0 into 0
8.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.041 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
8.042 * [backup-simplify]: Simplify (- 0) into 0
8.042 * [backup-simplify]: Simplify (+ 0 0) into 0
8.042 * [backup-simplify]: Simplify 0 into 0
8.042 * [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
8.043 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
8.043 * [backup-simplify]: Simplify (- 0) into 0
8.043 * [backup-simplify]: Simplify (+ 0 0) into 0
8.043 * [backup-simplify]: Simplify 0 into 0
8.044 * [backup-simplify]: Simplify (+ (- (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x))))) (* 1 (/ 1 (/ 1 x)))) into (- x (/ (sin x) (cos x)))
8.044 * [backup-simplify]: Simplify (- (/ 1 (- x)) (tan (/ 1 (- x)))) into (- (+ (tan (/ -1 x)) (/ 1 x)))
8.044 * [approximate]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in (x) around 0
8.044 * [taylor]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in x
8.044 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
8.044 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
8.044 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.044 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
8.044 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.044 * [taylor]: Taking taylor expansion of -1 in x
8.044 * [backup-simplify]: Simplify -1 into -1
8.044 * [taylor]: Taking taylor expansion of x in x
8.044 * [backup-simplify]: Simplify 0 into 0
8.044 * [backup-simplify]: Simplify 1 into 1
8.044 * [backup-simplify]: Simplify (/ -1 1) into -1
8.044 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
8.044 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
8.044 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.044 * [taylor]: Taking taylor expansion of -1 in x
8.044 * [backup-simplify]: Simplify -1 into -1
8.044 * [taylor]: Taking taylor expansion of x in x
8.044 * [backup-simplify]: Simplify 0 into 0
8.044 * [backup-simplify]: Simplify 1 into 1
8.045 * [backup-simplify]: Simplify (/ -1 1) into -1
8.045 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
8.045 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.045 * [taylor]: Taking taylor expansion of x in x
8.045 * [backup-simplify]: Simplify 0 into 0
8.045 * [backup-simplify]: Simplify 1 into 1
8.045 * [backup-simplify]: Simplify (/ 1 1) into 1
8.046 * [taylor]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in x
8.046 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
8.046 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
8.046 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.046 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
8.046 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.046 * [taylor]: Taking taylor expansion of -1 in x
8.046 * [backup-simplify]: Simplify -1 into -1
8.046 * [taylor]: Taking taylor expansion of x in x
8.046 * [backup-simplify]: Simplify 0 into 0
8.046 * [backup-simplify]: Simplify 1 into 1
8.046 * [backup-simplify]: Simplify (/ -1 1) into -1
8.046 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
8.046 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
8.046 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.046 * [taylor]: Taking taylor expansion of -1 in x
8.046 * [backup-simplify]: Simplify -1 into -1
8.046 * [taylor]: Taking taylor expansion of x in x
8.046 * [backup-simplify]: Simplify 0 into 0
8.046 * [backup-simplify]: Simplify 1 into 1
8.047 * [backup-simplify]: Simplify (/ -1 1) into -1
8.047 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
8.047 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.047 * [taylor]: Taking taylor expansion of x in x
8.047 * [backup-simplify]: Simplify 0 into 0
8.047 * [backup-simplify]: Simplify 1 into 1
8.047 * [backup-simplify]: Simplify (/ 1 1) into 1
8.048 * [backup-simplify]: Simplify (+ 0 1) into 1
8.048 * [backup-simplify]: Simplify (- 1) into -1
8.048 * [backup-simplify]: Simplify -1 into -1
8.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.048 * [backup-simplify]: Simplify (+ (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.049 * [backup-simplify]: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x))))
8.049 * [backup-simplify]: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x))))
8.049 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
8.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.050 * [backup-simplify]: Simplify (+ 0 0) into 0
8.050 * [backup-simplify]: Simplify (- 0) into 0
8.050 * [backup-simplify]: Simplify 0 into 0
8.050 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
8.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.051 * [backup-simplify]: Simplify (+ 0 0) into 0
8.051 * [backup-simplify]: Simplify (- 0) into 0
8.051 * [backup-simplify]: Simplify 0 into 0
8.052 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
8.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.052 * [backup-simplify]: Simplify (+ 0 0) into 0
8.053 * [backup-simplify]: Simplify (- 0) into 0
8.053 * [backup-simplify]: Simplify 0 into 0
8.053 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
8.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.054 * [backup-simplify]: Simplify (+ 0 0) into 0
8.054 * [backup-simplify]: Simplify (- 0) into 0
8.054 * [backup-simplify]: Simplify 0 into 0
8.055 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
8.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.055 * [backup-simplify]: Simplify (+ 0 0) into 0
8.056 * [backup-simplify]: Simplify (- 0) into 0
8.056 * [backup-simplify]: Simplify 0 into 0
8.056 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
8.057 * [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
8.057 * [backup-simplify]: Simplify (+ 0 0) into 0
8.057 * [backup-simplify]: Simplify (- 0) into 0
8.057 * [backup-simplify]: Simplify 0 into 0
8.057 * [backup-simplify]: Simplify (+ (- (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (/ (sin x) (cos x)))
8.057 * * * * [progress]: [ 3 / 4 ] generating series at (2)
8.058 * [backup-simplify]: Simplify (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))) into (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
8.058 * [approximate]: Taking taylor expansion of (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))) in (x) around 0
8.058 * [taylor]: Taking taylor expansion of (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))) in x
8.058 * [taylor]: Taking taylor expansion of (/ x (- x (tan x))) in x
8.058 * [taylor]: Taking taylor expansion of x in x
8.058 * [backup-simplify]: Simplify 0 into 0
8.058 * [backup-simplify]: Simplify 1 into 1
8.058 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
8.058 * [taylor]: Taking taylor expansion of x in x
8.058 * [backup-simplify]: Simplify 0 into 0
8.058 * [backup-simplify]: Simplify 1 into 1
8.058 * [taylor]: Taking taylor expansion of (tan x) in x
8.058 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
8.058 * [taylor]: Taking taylor expansion of (sin x) in x
8.058 * [taylor]: Taking taylor expansion of x in x
8.058 * [backup-simplify]: Simplify 0 into 0
8.058 * [backup-simplify]: Simplify 1 into 1
8.058 * [taylor]: Taking taylor expansion of (cos x) in x
8.058 * [taylor]: Taking taylor expansion of x in x
8.058 * [backup-simplify]: Simplify 0 into 0
8.058 * [backup-simplify]: Simplify 1 into 1
8.059 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.059 * [backup-simplify]: Simplify (/ 1 1) into 1
8.059 * [backup-simplify]: Simplify (+ 0 0) into 0
8.059 * [backup-simplify]: Simplify (- 1) into -1
8.059 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.060 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.060 * [backup-simplify]: Simplify (+ 0) into 0
8.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
8.061 * [backup-simplify]: Simplify (- 0) into 0
8.061 * [backup-simplify]: Simplify (+ 0 0) into 0
8.062 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
8.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
8.064 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
8.064 * [backup-simplify]: Simplify (- 1/3) into -1/3
8.064 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
8.064 * [backup-simplify]: Simplify (/ 1 -1/3) into -3
8.064 * [taylor]: Taking taylor expansion of (/ (sin x) (- x (tan x))) in x
8.064 * [taylor]: Taking taylor expansion of (sin x) in x
8.064 * [taylor]: Taking taylor expansion of x in x
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify 1 into 1
8.064 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
8.064 * [taylor]: Taking taylor expansion of x in x
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify 1 into 1
8.064 * [taylor]: Taking taylor expansion of (tan x) in x
8.065 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
8.065 * [taylor]: Taking taylor expansion of (sin x) in x
8.065 * [taylor]: Taking taylor expansion of x in x
8.065 * [backup-simplify]: Simplify 0 into 0
8.065 * [backup-simplify]: Simplify 1 into 1
8.065 * [taylor]: Taking taylor expansion of (cos x) in x
8.065 * [taylor]: Taking taylor expansion of x in x
8.065 * [backup-simplify]: Simplify 0 into 0
8.065 * [backup-simplify]: Simplify 1 into 1
8.065 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.065 * [backup-simplify]: Simplify (/ 1 1) into 1
8.066 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.066 * [backup-simplify]: Simplify (+ 0 0) into 0
8.066 * [backup-simplify]: Simplify (- 1) into -1
8.067 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.068 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.068 * [backup-simplify]: Simplify (+ 0) into 0
8.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
8.069 * [backup-simplify]: Simplify (- 0) into 0
8.070 * [backup-simplify]: Simplify (+ 0 0) into 0
8.071 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
8.072 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
8.074 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
8.074 * [backup-simplify]: Simplify (- 1/3) into -1/3
8.074 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
8.075 * [backup-simplify]: Simplify (/ 1 -1/3) into -3
8.075 * [taylor]: Taking taylor expansion of (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))) in x
8.075 * [taylor]: Taking taylor expansion of (/ x (- x (tan x))) in x
8.075 * [taylor]: Taking taylor expansion of x in x
8.075 * [backup-simplify]: Simplify 0 into 0
8.075 * [backup-simplify]: Simplify 1 into 1
8.075 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
8.075 * [taylor]: Taking taylor expansion of x in x
8.075 * [backup-simplify]: Simplify 0 into 0
8.075 * [backup-simplify]: Simplify 1 into 1
8.075 * [taylor]: Taking taylor expansion of (tan x) in x
8.075 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
8.075 * [taylor]: Taking taylor expansion of (sin x) in x
8.075 * [taylor]: Taking taylor expansion of x in x
8.075 * [backup-simplify]: Simplify 0 into 0
8.076 * [backup-simplify]: Simplify 1 into 1
8.076 * [taylor]: Taking taylor expansion of (cos x) in x
8.076 * [taylor]: Taking taylor expansion of x in x
8.076 * [backup-simplify]: Simplify 0 into 0
8.076 * [backup-simplify]: Simplify 1 into 1
8.076 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.077 * [backup-simplify]: Simplify (/ 1 1) into 1
8.077 * [backup-simplify]: Simplify (+ 0 0) into 0
8.077 * [backup-simplify]: Simplify (- 1) into -1
8.078 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.079 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.079 * [backup-simplify]: Simplify (+ 0) into 0
8.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
8.080 * [backup-simplify]: Simplify (- 0) into 0
8.081 * [backup-simplify]: Simplify (+ 0 0) into 0
8.082 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
8.083 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
8.085 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
8.085 * [backup-simplify]: Simplify (- 1/3) into -1/3
8.086 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
8.086 * [backup-simplify]: Simplify (/ 1 -1/3) into -3
8.086 * [taylor]: Taking taylor expansion of (/ (sin x) (- x (tan x))) in x
8.086 * [taylor]: Taking taylor expansion of (sin x) in x
8.086 * [taylor]: Taking taylor expansion of x in x
8.086 * [backup-simplify]: Simplify 0 into 0
8.086 * [backup-simplify]: Simplify 1 into 1
8.086 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
8.086 * [taylor]: Taking taylor expansion of x in x
8.086 * [backup-simplify]: Simplify 0 into 0
8.086 * [backup-simplify]: Simplify 1 into 1
8.086 * [taylor]: Taking taylor expansion of (tan x) in x
8.086 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
8.086 * [taylor]: Taking taylor expansion of (sin x) in x
8.086 * [taylor]: Taking taylor expansion of x in x
8.087 * [backup-simplify]: Simplify 0 into 0
8.087 * [backup-simplify]: Simplify 1 into 1
8.087 * [taylor]: Taking taylor expansion of (cos x) in x
8.087 * [taylor]: Taking taylor expansion of x in x
8.087 * [backup-simplify]: Simplify 0 into 0
8.087 * [backup-simplify]: Simplify 1 into 1
8.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.088 * [backup-simplify]: Simplify (/ 1 1) into 1
8.089 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.089 * [backup-simplify]: Simplify (+ 0 0) into 0
8.089 * [backup-simplify]: Simplify (- 1) into -1
8.090 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.091 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.091 * [backup-simplify]: Simplify (+ 0) into 0
8.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
8.092 * [backup-simplify]: Simplify (- 0) into 0
8.092 * [backup-simplify]: Simplify (+ 0 0) into 0
8.094 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
8.095 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
8.097 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
8.097 * [backup-simplify]: Simplify (- 1/3) into -1/3
8.098 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
8.098 * [backup-simplify]: Simplify (/ 1 -1/3) into -3
8.099 * [backup-simplify]: Simplify (- -3) into 3
8.099 * [backup-simplify]: Simplify (+ -3 3) into 0
8.099 * [backup-simplify]: Simplify 0 into 0
8.101 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
8.102 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
8.104 * [backup-simplify]: Simplify (- 0) into 0
8.104 * [backup-simplify]: Simplify (+ 0 0) into 0
8.105 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -3 (/ 0 -1/3)))) into 0
8.106 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.107 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
8.109 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
8.110 * [backup-simplify]: Simplify (- 0) into 0
8.111 * [backup-simplify]: Simplify (+ 0 0) into 0
8.112 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -3 (/ 0 -1/3)))) into 0
8.112 * [backup-simplify]: Simplify (- 0) into 0
8.112 * [backup-simplify]: Simplify (+ 0 0) into 0
8.112 * [backup-simplify]: Simplify 0 into 0
8.116 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
8.119 * [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
8.121 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
8.122 * [backup-simplify]: Simplify (- 2/15) into -2/15
8.122 * [backup-simplify]: Simplify (+ 0 -2/15) into -2/15
8.123 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -3 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 6/5
8.125 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
8.129 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
8.132 * [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
8.134 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
8.134 * [backup-simplify]: Simplify (- 2/15) into -2/15
8.135 * [backup-simplify]: Simplify (+ 0 -2/15) into -2/15
8.136 * [backup-simplify]: Simplify (- (/ -1/6 -1/3) (+ (* -3 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 17/10
8.137 * [backup-simplify]: Simplify (- 17/10) into -17/10
8.137 * [backup-simplify]: Simplify (+ 6/5 -17/10) into -1/2
8.137 * [backup-simplify]: Simplify -1/2 into -1/2
8.142 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
8.152 * [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
8.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ -1/2 1)) (* 2/15 (/ 0 1)))) into 0
8.155 * [backup-simplify]: Simplify (- 0) into 0
8.155 * [backup-simplify]: Simplify (+ 0 0) into 0
8.157 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -3 (/ 0 -1/3)) (* 0 (/ -2/15 -1/3)) (* 6/5 (/ 0 -1/3)))) into 0
8.158 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
8.162 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
8.165 * [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
8.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ -1/2 1)) (* 2/15 (/ 0 1)))) into 0
8.167 * [backup-simplify]: Simplify (- 0) into 0
8.168 * [backup-simplify]: Simplify (+ 0 0) into 0
8.169 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -3 (/ 0 -1/3)) (* 0 (/ -2/15 -1/3)) (* 17/10 (/ 0 -1/3)))) into 0
8.169 * [backup-simplify]: Simplify (- 0) into 0
8.170 * [backup-simplify]: Simplify (+ 0 0) into 0
8.170 * [backup-simplify]: Simplify 0 into 0
8.177 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
8.182 * [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
8.185 * [backup-simplify]: Simplify (- (/ -1/5040 1) (+ (* 1 (/ -1/720 1)) (* 0 (/ 0 1)) (* 1/3 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/15 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/315
8.186 * [backup-simplify]: Simplify (- 17/315) into -17/315
8.186 * [backup-simplify]: Simplify (+ 0 -17/315) into -17/315
8.188 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -3 (/ -17/315 -1/3)) (* 0 (/ 0 -1/3)) (* 6/5 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 1/175
8.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
8.199 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
8.205 * [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
8.208 * [backup-simplify]: Simplify (- (/ -1/5040 1) (+ (* 1 (/ -1/720 1)) (* 0 (/ 0 1)) (* 1/3 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/15 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/315
8.209 * [backup-simplify]: Simplify (- 17/315) into -17/315
8.209 * [backup-simplify]: Simplify (+ 0 -17/315) into -17/315
8.212 * [backup-simplify]: Simplify (- (/ 1/120 -1/3) (+ (* -3 (/ -17/315 -1/3)) (* 0 (/ 0 -1/3)) (* 17/10 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into -307/1400
8.212 * [backup-simplify]: Simplify (- -307/1400) into 307/1400
8.213 * [backup-simplify]: Simplify (+ 1/175 307/1400) into 9/40
8.213 * [backup-simplify]: Simplify 9/40 into 9/40
8.222 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 6) 720) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 3) 6)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 0 (* 1 (/ (pow 0 1) 1))) into 0
8.228 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 3) 6)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/720 1)) (* 1/3 (/ 0 1)) (* 0 (/ 1/24 1)) (* 2/15 (/ 0 1)) (* 0 (/ -1/2 1)) (* 17/315 (/ 0 1)))) into 0
8.232 * [backup-simplify]: Simplify (- 0) into 0
8.233 * [backup-simplify]: Simplify (+ 0 0) into 0
8.237 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -3 (/ 0 -1/3)) (* 0 (/ -17/315 -1/3)) (* 6/5 (/ 0 -1/3)) (* 0 (/ -2/15 -1/3)) (* 1/175 (/ 0 -1/3)))) into 0
8.242 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
8.251 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 6) 720) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 3) 6)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 0 (* 1 (/ (pow 0 1) 1))) into 0
8.257 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 3) 6)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/720 1)) (* 1/3 (/ 0 1)) (* 0 (/ 1/24 1)) (* 2/15 (/ 0 1)) (* 0 (/ -1/2 1)) (* 17/315 (/ 0 1)))) into 0
8.261 * [backup-simplify]: Simplify (- 0) into 0
8.262 * [backup-simplify]: Simplify (+ 0 0) into 0
8.263 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -3 (/ 0 -1/3)) (* 0 (/ -17/315 -1/3)) (* 17/10 (/ 0 -1/3)) (* 0 (/ -2/15 -1/3)) (* -307/1400 (/ 0 -1/3)))) into 0
8.263 * [backup-simplify]: Simplify (- 0) into 0
8.264 * [backup-simplify]: Simplify (+ 0 0) into 0
8.264 * [backup-simplify]: Simplify 0 into 0
8.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 9) 362880)) 0 (* -1 (/ (pow 1 6) 720) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 5) 120) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 1) 1) (/ (pow 0 4) 24)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/362880
8.279 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 8) 40320)) 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 4) 24) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 4) 24)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/40320
8.282 * [backup-simplify]: Simplify (- (/ 1/362880 1) (+ (* 1 (/ 1/40320 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/720 1)) (* 0 (/ 0 1)) (* 2/15 (/ 1/24 1)) (* 0 (/ 0 1)) (* 17/315 (/ -1/2 1)) (* 0 (/ 0 1)))) into 62/2835
8.282 * [backup-simplify]: Simplify (- 62/2835) into -62/2835
8.282 * [backup-simplify]: Simplify (+ 0 -62/2835) into -62/2835
8.284 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -3 (/ -62/2835 -1/3)) (* 0 (/ 0 -1/3)) (* 6/5 (/ -17/315 -1/3)) (* 0 (/ 0 -1/3)) (* 1/175 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 2/7875
8.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
8.306 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 9) 362880)) 0 (* -1 (/ (pow 1 6) 720) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 5) 120) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 1) 1) (/ (pow 0 4) 24)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/362880
8.318 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 8) 40320)) 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 4) 24) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 4) 24)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/40320
8.322 * [backup-simplify]: Simplify (- (/ 1/362880 1) (+ (* 1 (/ 1/40320 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/720 1)) (* 0 (/ 0 1)) (* 2/15 (/ 1/24 1)) (* 0 (/ 0 1)) (* 17/315 (/ -1/2 1)) (* 0 (/ 0 1)))) into 62/2835
8.322 * [backup-simplify]: Simplify (- 62/2835) into -62/2835
8.323 * [backup-simplify]: Simplify (+ 0 -62/2835) into -62/2835
8.326 * [backup-simplify]: Simplify (- (/ -1/5040 -1/3) (+ (* -3 (/ -62/2835 -1/3)) (* 0 (/ 0 -1/3)) (* 17/10 (/ -17/315 -1/3)) (* 0 (/ 0 -1/3)) (* -307/1400 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 1247/126000
8.326 * [backup-simplify]: Simplify (- 1247/126000) into -1247/126000
8.327 * [backup-simplify]: Simplify (+ 2/7875 -1247/126000) into -27/2800
8.327 * [backup-simplify]: Simplify -27/2800 into -27/2800
8.328 * [backup-simplify]: Simplify (+ (* -27/2800 (pow x 4)) (+ (* 9/40 (pow x 2)) -1/2)) into (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))
8.328 * [backup-simplify]: Simplify (- (/ (/ 1 x) (- (/ 1 x) (tan (/ 1 x)))) (/ (sin (/ 1 x)) (- (/ 1 x) (tan (/ 1 x))))) into (- (/ 1 (* x (- (/ 1 x) (tan (/ 1 x))))) (/ (sin (/ 1 x)) (- (/ 1 x) (tan (/ 1 x)))))
8.328 * [approximate]: Taking taylor expansion of (- (/ 1 (* x (- (/ 1 x) (tan (/ 1 x))))) (/ (sin (/ 1 x)) (- (/ 1 x) (tan (/ 1 x))))) in (x) around 0
8.328 * [taylor]: Taking taylor expansion of (- (/ 1 (* x (- (/ 1 x) (tan (/ 1 x))))) (/ (sin (/ 1 x)) (- (/ 1 x) (tan (/ 1 x))))) in x
8.328 * [taylor]: Taking taylor expansion of (/ 1 (* x (- (/ 1 x) (tan (/ 1 x))))) in x
8.328 * [taylor]: Taking taylor expansion of (* x (- (/ 1 x) (tan (/ 1 x)))) in x
8.328 * [taylor]: Taking taylor expansion of x in x
8.328 * [backup-simplify]: Simplify 0 into 0
8.328 * [backup-simplify]: Simplify 1 into 1
8.328 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
8.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.328 * [taylor]: Taking taylor expansion of x in x
8.328 * [backup-simplify]: Simplify 0 into 0
8.328 * [backup-simplify]: Simplify 1 into 1
8.329 * [backup-simplify]: Simplify (/ 1 1) into 1
8.329 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
8.329 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
8.329 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
8.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.329 * [taylor]: Taking taylor expansion of x in x
8.329 * [backup-simplify]: Simplify 0 into 0
8.329 * [backup-simplify]: Simplify 1 into 1
8.330 * [backup-simplify]: Simplify (/ 1 1) into 1
8.330 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
8.330 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
8.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.330 * [taylor]: Taking taylor expansion of x in x
8.330 * [backup-simplify]: Simplify 0 into 0
8.330 * [backup-simplify]: Simplify 1 into 1
8.330 * [backup-simplify]: Simplify (/ 1 1) into 1
8.330 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
8.330 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
8.331 * [backup-simplify]: Simplify (+ 1 0) into 1
8.331 * [backup-simplify]: Simplify (* 0 1) into 0
8.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.332 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
8.333 * [backup-simplify]: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
8.333 * [backup-simplify]: Simplify (+ (* 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 1 1)) into 1
8.334 * [backup-simplify]: Simplify (/ 1 1) into 1
8.334 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- (/ 1 x) (tan (/ 1 x)))) in x
8.334 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
8.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.334 * [taylor]: Taking taylor expansion of x in x
8.334 * [backup-simplify]: Simplify 0 into 0
8.334 * [backup-simplify]: Simplify 1 into 1
8.334 * [backup-simplify]: Simplify (/ 1 1) into 1
8.334 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
8.334 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
8.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.334 * [taylor]: Taking taylor expansion of x in x
8.334 * [backup-simplify]: Simplify 0 into 0
8.334 * [backup-simplify]: Simplify 1 into 1
8.335 * [backup-simplify]: Simplify (/ 1 1) into 1
8.335 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
8.335 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
8.335 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
8.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.335 * [taylor]: Taking taylor expansion of x in x
8.335 * [backup-simplify]: Simplify 0 into 0
8.335 * [backup-simplify]: Simplify 1 into 1
8.335 * [backup-simplify]: Simplify (/ 1 1) into 1
8.335 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
8.336 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
8.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.336 * [taylor]: Taking taylor expansion of x in x
8.336 * [backup-simplify]: Simplify 0 into 0
8.336 * [backup-simplify]: Simplify 1 into 1
8.336 * [backup-simplify]: Simplify (/ 1 1) into 1
8.336 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
8.336 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
8.337 * [backup-simplify]: Simplify (+ 1 0) into 1
8.337 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) 1) into (sin (/ 1 x))
8.337 * [taylor]: Taking taylor expansion of (- (/ 1 (* x (- (/ 1 x) (tan (/ 1 x))))) (/ (sin (/ 1 x)) (- (/ 1 x) (tan (/ 1 x))))) in x
8.337 * [taylor]: Taking taylor expansion of (/ 1 (* x (- (/ 1 x) (tan (/ 1 x))))) in x
8.337 * [taylor]: Taking taylor expansion of (* x (- (/ 1 x) (tan (/ 1 x)))) in x
8.337 * [taylor]: Taking taylor expansion of x in x
8.337 * [backup-simplify]: Simplify 0 into 0
8.337 * [backup-simplify]: Simplify 1 into 1
8.337 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
8.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.337 * [taylor]: Taking taylor expansion of x in x
8.337 * [backup-simplify]: Simplify 0 into 0
8.337 * [backup-simplify]: Simplify 1 into 1
8.338 * [backup-simplify]: Simplify (/ 1 1) into 1
8.338 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
8.338 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
8.338 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
8.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.338 * [taylor]: Taking taylor expansion of x in x
8.338 * [backup-simplify]: Simplify 0 into 0
8.338 * [backup-simplify]: Simplify 1 into 1
8.338 * [backup-simplify]: Simplify (/ 1 1) into 1
8.338 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
8.338 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
8.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.338 * [taylor]: Taking taylor expansion of x in x
8.338 * [backup-simplify]: Simplify 0 into 0
8.338 * [backup-simplify]: Simplify 1 into 1
8.339 * [backup-simplify]: Simplify (/ 1 1) into 1
8.339 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
8.339 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
8.340 * [backup-simplify]: Simplify (+ 1 0) into 1
8.340 * [backup-simplify]: Simplify (* 0 1) into 0
8.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.341 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
8.341 * [backup-simplify]: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
8.342 * [backup-simplify]: Simplify (+ (* 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 1 1)) into 1
8.342 * [backup-simplify]: Simplify (/ 1 1) into 1
8.342 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- (/ 1 x) (tan (/ 1 x)))) in x
8.342 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
8.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.342 * [taylor]: Taking taylor expansion of x in x
8.342 * [backup-simplify]: Simplify 0 into 0
8.342 * [backup-simplify]: Simplify 1 into 1
8.343 * [backup-simplify]: Simplify (/ 1 1) into 1
8.343 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
8.343 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
8.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.343 * [taylor]: Taking taylor expansion of x in x
8.343 * [backup-simplify]: Simplify 0 into 0
8.343 * [backup-simplify]: Simplify 1 into 1
8.343 * [backup-simplify]: Simplify (/ 1 1) into 1
8.343 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
8.343 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
8.343 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
8.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.343 * [taylor]: Taking taylor expansion of x in x
8.344 * [backup-simplify]: Simplify 0 into 0
8.344 * [backup-simplify]: Simplify 1 into 1
8.344 * [backup-simplify]: Simplify (/ 1 1) into 1
8.344 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
8.344 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
8.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.344 * [taylor]: Taking taylor expansion of x in x
8.344 * [backup-simplify]: Simplify 0 into 0
8.344 * [backup-simplify]: Simplify 1 into 1
8.345 * [backup-simplify]: Simplify (/ 1 1) into 1
8.345 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
8.345 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
8.345 * [backup-simplify]: Simplify (+ 1 0) into 1
8.345 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) 1) into (sin (/ 1 x))
8.346 * [backup-simplify]: Simplify (+ 1 0) into 1
8.346 * [backup-simplify]: Simplify 1 into 1
8.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.347 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
8.348 * [backup-simplify]: Simplify (- 0) into 0
8.348 * [backup-simplify]: Simplify (+ 0 0) into 0
8.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 1))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
8.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
8.349 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
8.350 * [backup-simplify]: Simplify (+ (/ (sin (/ 1 x)) (cos (/ 1 x))) (- (sin (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))
8.350 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))
8.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.351 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
8.351 * [backup-simplify]: Simplify (- 0) into 0
8.351 * [backup-simplify]: Simplify (+ 0 0) into 0
8.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 1)))) into 0
8.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
8.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.354 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
8.354 * [backup-simplify]: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
8.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))
8.355 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) into (- (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))))
8.355 * [backup-simplify]: Simplify (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (- (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))))
8.355 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))))
8.356 * [backup-simplify]: Simplify (+ (* (- (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) (/ (pow (sin (/ 1 (/ 1 x))) 2) (cos (/ 1 (/ 1 x))))) (pow (/ 1 x) 2)) (+ (* (- (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) (/ 1 x)) 1)) into (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
8.357 * [backup-simplify]: Simplify (- (/ (/ 1 (- x)) (- (/ 1 (- x)) (tan (/ 1 (- x))))) (/ (sin (/ 1 (- x))) (- (/ 1 (- x)) (tan (/ 1 (- x)))))) into (+ (/ (sin (/ -1 x)) (+ (tan (/ -1 x)) (/ 1 x))) (/ 1 (* x (+ (tan (/ -1 x)) (/ 1 x)))))
8.357 * [approximate]: Taking taylor expansion of (+ (/ (sin (/ -1 x)) (+ (tan (/ -1 x)) (/ 1 x))) (/ 1 (* x (+ (tan (/ -1 x)) (/ 1 x))))) in (x) around 0
8.357 * [taylor]: Taking taylor expansion of (+ (/ (sin (/ -1 x)) (+ (tan (/ -1 x)) (/ 1 x))) (/ 1 (* x (+ (tan (/ -1 x)) (/ 1 x))))) in x
8.357 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in x
8.357 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
8.357 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.357 * [taylor]: Taking taylor expansion of -1 in x
8.357 * [backup-simplify]: Simplify -1 into -1
8.357 * [taylor]: Taking taylor expansion of x in x
8.357 * [backup-simplify]: Simplify 0 into 0
8.357 * [backup-simplify]: Simplify 1 into 1
8.357 * [backup-simplify]: Simplify (/ -1 1) into -1
8.357 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
8.357 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
8.357 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
8.357 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.357 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
8.357 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.357 * [taylor]: Taking taylor expansion of -1 in x
8.357 * [backup-simplify]: Simplify -1 into -1
8.357 * [taylor]: Taking taylor expansion of x in x
8.358 * [backup-simplify]: Simplify 0 into 0
8.358 * [backup-simplify]: Simplify 1 into 1
8.358 * [backup-simplify]: Simplify (/ -1 1) into -1
8.358 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
8.358 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
8.358 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.358 * [taylor]: Taking taylor expansion of -1 in x
8.358 * [backup-simplify]: Simplify -1 into -1
8.358 * [taylor]: Taking taylor expansion of x in x
8.358 * [backup-simplify]: Simplify 0 into 0
8.358 * [backup-simplify]: Simplify 1 into 1
8.358 * [backup-simplify]: Simplify (/ -1 1) into -1
8.358 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
8.358 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.359 * [taylor]: Taking taylor expansion of x in x
8.359 * [backup-simplify]: Simplify 0 into 0
8.359 * [backup-simplify]: Simplify 1 into 1
8.359 * [backup-simplify]: Simplify (/ 1 1) into 1
8.359 * [backup-simplify]: Simplify (+ 0 1) into 1
8.359 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) 1) into (sin (/ -1 x))
8.359 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (tan (/ -1 x)) (/ 1 x)))) in x
8.359 * [taylor]: Taking taylor expansion of (* x (+ (tan (/ -1 x)) (/ 1 x))) in x
8.359 * [taylor]: Taking taylor expansion of x in x
8.359 * [backup-simplify]: Simplify 0 into 0
8.359 * [backup-simplify]: Simplify 1 into 1
8.359 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
8.359 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
8.359 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.359 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
8.359 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.359 * [taylor]: Taking taylor expansion of -1 in x
8.359 * [backup-simplify]: Simplify -1 into -1
8.359 * [taylor]: Taking taylor expansion of x in x
8.360 * [backup-simplify]: Simplify 0 into 0
8.360 * [backup-simplify]: Simplify 1 into 1
8.360 * [backup-simplify]: Simplify (/ -1 1) into -1
8.360 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
8.360 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
8.360 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.360 * [taylor]: Taking taylor expansion of -1 in x
8.360 * [backup-simplify]: Simplify -1 into -1
8.360 * [taylor]: Taking taylor expansion of x in x
8.360 * [backup-simplify]: Simplify 0 into 0
8.360 * [backup-simplify]: Simplify 1 into 1
8.360 * [backup-simplify]: Simplify (/ -1 1) into -1
8.360 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
8.360 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.360 * [taylor]: Taking taylor expansion of x in x
8.361 * [backup-simplify]: Simplify 0 into 0
8.361 * [backup-simplify]: Simplify 1 into 1
8.361 * [backup-simplify]: Simplify (/ 1 1) into 1
8.361 * [backup-simplify]: Simplify (+ 0 1) into 1
8.361 * [backup-simplify]: Simplify (* 0 1) into 0
8.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.362 * [backup-simplify]: Simplify (+ (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.362 * [backup-simplify]: Simplify (+ (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))) (* 1 1)) into 1
8.363 * [backup-simplify]: Simplify (/ 1 1) into 1
8.363 * [taylor]: Taking taylor expansion of (+ (/ (sin (/ -1 x)) (+ (tan (/ -1 x)) (/ 1 x))) (/ 1 (* x (+ (tan (/ -1 x)) (/ 1 x))))) in x
8.363 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in x
8.363 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
8.363 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.363 * [taylor]: Taking taylor expansion of -1 in x
8.363 * [backup-simplify]: Simplify -1 into -1
8.363 * [taylor]: Taking taylor expansion of x in x
8.363 * [backup-simplify]: Simplify 0 into 0
8.363 * [backup-simplify]: Simplify 1 into 1
8.363 * [backup-simplify]: Simplify (/ -1 1) into -1
8.363 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
8.363 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
8.363 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
8.363 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.363 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
8.363 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.363 * [taylor]: Taking taylor expansion of -1 in x
8.363 * [backup-simplify]: Simplify -1 into -1
8.363 * [taylor]: Taking taylor expansion of x in x
8.363 * [backup-simplify]: Simplify 0 into 0
8.363 * [backup-simplify]: Simplify 1 into 1
8.364 * [backup-simplify]: Simplify (/ -1 1) into -1
8.364 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
8.364 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
8.364 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.364 * [taylor]: Taking taylor expansion of -1 in x
8.364 * [backup-simplify]: Simplify -1 into -1
8.364 * [taylor]: Taking taylor expansion of x in x
8.364 * [backup-simplify]: Simplify 0 into 0
8.364 * [backup-simplify]: Simplify 1 into 1
8.364 * [backup-simplify]: Simplify (/ -1 1) into -1
8.364 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
8.364 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.364 * [taylor]: Taking taylor expansion of x in x
8.364 * [backup-simplify]: Simplify 0 into 0
8.364 * [backup-simplify]: Simplify 1 into 1
8.365 * [backup-simplify]: Simplify (/ 1 1) into 1
8.365 * [backup-simplify]: Simplify (+ 0 1) into 1
8.365 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) 1) into (sin (/ -1 x))
8.365 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (tan (/ -1 x)) (/ 1 x)))) in x
8.365 * [taylor]: Taking taylor expansion of (* x (+ (tan (/ -1 x)) (/ 1 x))) in x
8.365 * [taylor]: Taking taylor expansion of x in x
8.365 * [backup-simplify]: Simplify 0 into 0
8.365 * [backup-simplify]: Simplify 1 into 1
8.365 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
8.365 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
8.365 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.365 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
8.365 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.365 * [taylor]: Taking taylor expansion of -1 in x
8.365 * [backup-simplify]: Simplify -1 into -1
8.365 * [taylor]: Taking taylor expansion of x in x
8.365 * [backup-simplify]: Simplify 0 into 0
8.365 * [backup-simplify]: Simplify 1 into 1
8.366 * [backup-simplify]: Simplify (/ -1 1) into -1
8.366 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
8.366 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
8.366 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.366 * [taylor]: Taking taylor expansion of -1 in x
8.366 * [backup-simplify]: Simplify -1 into -1
8.366 * [taylor]: Taking taylor expansion of x in x
8.366 * [backup-simplify]: Simplify 0 into 0
8.366 * [backup-simplify]: Simplify 1 into 1
8.366 * [backup-simplify]: Simplify (/ -1 1) into -1
8.366 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
8.366 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.366 * [taylor]: Taking taylor expansion of x in x
8.366 * [backup-simplify]: Simplify 0 into 0
8.366 * [backup-simplify]: Simplify 1 into 1
8.367 * [backup-simplify]: Simplify (/ 1 1) into 1
8.367 * [backup-simplify]: Simplify (+ 0 1) into 1
8.367 * [backup-simplify]: Simplify (* 0 1) into 0
8.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.368 * [backup-simplify]: Simplify (+ (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.368 * [backup-simplify]: Simplify (+ (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))) (* 1 1)) into 1
8.368 * [backup-simplify]: Simplify (/ 1 1) into 1
8.369 * [backup-simplify]: Simplify (+ 0 1) into 1
8.369 * [backup-simplify]: Simplify 1 into 1
8.369 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
8.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.370 * [backup-simplify]: Simplify (+ 0 0) into 0
8.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ (sin (/ -1 x)) (cos (/ -1 x)))) (* 0 1))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ (sin (/ -1 x)) (cos (/ -1 x))) 1)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x))))
8.371 * [backup-simplify]: Simplify (+ (sin (/ -1 x)) (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))
8.371 * [backup-simplify]: Simplify (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))
8.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.372 * [backup-simplify]: Simplify (+ (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ (/ (sin (/ -1 x)) (cos (/ -1 x))) 1)))) into (- (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))
8.372 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
8.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.373 * [backup-simplify]: Simplify (+ 0 0) into 0
8.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))) (* 0 1)))) into 0
8.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) (/ (/ (sin (/ -1 x)) (cos (/ -1 x))) 1)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
8.375 * [backup-simplify]: Simplify (+ (- (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))
8.376 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))
8.377 * [backup-simplify]: Simplify (+ (* (- (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (cos (/ -1 (/ 1 (- x)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (sin (/ -1 (/ 1 (- x)))) (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (/ 1 (- x))) 1)) into (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
8.377 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
8.377 * [backup-simplify]: Simplify (/ (sin x) (- x (tan x))) into (/ (sin x) (- x (tan x)))
8.377 * [approximate]: Taking taylor expansion of (/ (sin x) (- x (tan x))) in (x) around 0
8.377 * [taylor]: Taking taylor expansion of (/ (sin x) (- x (tan x))) in x
8.377 * [taylor]: Taking taylor expansion of (sin x) in x
8.377 * [taylor]: Taking taylor expansion of x in x
8.377 * [backup-simplify]: Simplify 0 into 0
8.377 * [backup-simplify]: Simplify 1 into 1
8.377 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
8.377 * [taylor]: Taking taylor expansion of x in x
8.377 * [backup-simplify]: Simplify 0 into 0
8.377 * [backup-simplify]: Simplify 1 into 1
8.377 * [taylor]: Taking taylor expansion of (tan x) in x
8.378 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
8.378 * [taylor]: Taking taylor expansion of (sin x) in x
8.378 * [taylor]: Taking taylor expansion of x in x
8.378 * [backup-simplify]: Simplify 0 into 0
8.378 * [backup-simplify]: Simplify 1 into 1
8.378 * [taylor]: Taking taylor expansion of (cos x) in x
8.378 * [taylor]: Taking taylor expansion of x in x
8.378 * [backup-simplify]: Simplify 0 into 0
8.378 * [backup-simplify]: Simplify 1 into 1
8.378 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.379 * [backup-simplify]: Simplify (/ 1 1) into 1
8.379 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.379 * [backup-simplify]: Simplify (+ 0 0) into 0
8.380 * [backup-simplify]: Simplify (- 1) into -1
8.380 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.380 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.381 * [backup-simplify]: Simplify (+ 0) into 0
8.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
8.381 * [backup-simplify]: Simplify (- 0) into 0
8.382 * [backup-simplify]: Simplify (+ 0 0) into 0
8.383 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
8.383 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
8.384 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
8.384 * [backup-simplify]: Simplify (- 1/3) into -1/3
8.385 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
8.385 * [backup-simplify]: Simplify (/ 1 -1/3) into -3
8.385 * [taylor]: Taking taylor expansion of (/ (sin x) (- x (tan x))) in x
8.385 * [taylor]: Taking taylor expansion of (sin x) in x
8.385 * [taylor]: Taking taylor expansion of x in x
8.385 * [backup-simplify]: Simplify 0 into 0
8.385 * [backup-simplify]: Simplify 1 into 1
8.385 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
8.385 * [taylor]: Taking taylor expansion of x in x
8.385 * [backup-simplify]: Simplify 0 into 0
8.385 * [backup-simplify]: Simplify 1 into 1
8.385 * [taylor]: Taking taylor expansion of (tan x) in x
8.385 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
8.385 * [taylor]: Taking taylor expansion of (sin x) in x
8.385 * [taylor]: Taking taylor expansion of x in x
8.385 * [backup-simplify]: Simplify 0 into 0
8.385 * [backup-simplify]: Simplify 1 into 1
8.385 * [taylor]: Taking taylor expansion of (cos x) in x
8.385 * [taylor]: Taking taylor expansion of x in x
8.385 * [backup-simplify]: Simplify 0 into 0
8.385 * [backup-simplify]: Simplify 1 into 1
8.386 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.386 * [backup-simplify]: Simplify (/ 1 1) into 1
8.387 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.387 * [backup-simplify]: Simplify (+ 0 0) into 0
8.387 * [backup-simplify]: Simplify (- 1) into -1
8.387 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.388 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.388 * [backup-simplify]: Simplify (+ 0) into 0
8.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
8.389 * [backup-simplify]: Simplify (- 0) into 0
8.389 * [backup-simplify]: Simplify (+ 0 0) into 0
8.390 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
8.391 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
8.392 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
8.392 * [backup-simplify]: Simplify (- 1/3) into -1/3
8.392 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
8.392 * [backup-simplify]: Simplify (/ 1 -1/3) into -3
8.393 * [backup-simplify]: Simplify -3 into -3
8.393 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.394 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
8.395 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
8.397 * [backup-simplify]: Simplify (- 0) into 0
8.398 * [backup-simplify]: Simplify (+ 0 0) into 0
8.398 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -3 (/ 0 -1/3)))) into 0
8.398 * [backup-simplify]: Simplify 0 into 0
8.400 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
8.402 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
8.404 * [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
8.405 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
8.406 * [backup-simplify]: Simplify (- 2/15) into -2/15
8.406 * [backup-simplify]: Simplify (+ 0 -2/15) into -2/15
8.407 * [backup-simplify]: Simplify (- (/ -1/6 -1/3) (+ (* -3 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 17/10
8.407 * [backup-simplify]: Simplify 17/10 into 17/10
8.408 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
8.410 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
8.412 * [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
8.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ -1/2 1)) (* 2/15 (/ 0 1)))) into 0
8.422 * [backup-simplify]: Simplify (- 0) into 0
8.422 * [backup-simplify]: Simplify (+ 0 0) into 0
8.424 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -3 (/ 0 -1/3)) (* 0 (/ -2/15 -1/3)) (* 17/10 (/ 0 -1/3)))) into 0
8.424 * [backup-simplify]: Simplify 0 into 0
8.428 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
8.437 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040
8.442 * [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
8.445 * [backup-simplify]: Simplify (- (/ -1/5040 1) (+ (* 1 (/ -1/720 1)) (* 0 (/ 0 1)) (* 1/3 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/15 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/315
8.446 * [backup-simplify]: Simplify (- 17/315) into -17/315
8.446 * [backup-simplify]: Simplify (+ 0 -17/315) into -17/315
8.449 * [backup-simplify]: Simplify (- (/ 1/120 -1/3) (+ (* -3 (/ -17/315 -1/3)) (* 0 (/ 0 -1/3)) (* 17/10 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into -307/1400
8.449 * [backup-simplify]: Simplify -307/1400 into -307/1400
8.450 * [backup-simplify]: Simplify (+ (* -307/1400 (pow x 2)) (+ 17/10 (* -3 (pow (/ 1 x) 2)))) into (- 17/10 (+ (* 307/1400 (pow x 2)) (* 3 (/ 1 (pow x 2)))))
8.450 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (- (/ 1 x) (tan (/ 1 x)))) into (/ (sin (/ 1 x)) (- (/ 1 x) (tan (/ 1 x))))
8.450 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (- (/ 1 x) (tan (/ 1 x)))) in (x) around 0
8.450 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- (/ 1 x) (tan (/ 1 x)))) in x
8.450 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
8.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.450 * [taylor]: Taking taylor expansion of x in x
8.450 * [backup-simplify]: Simplify 0 into 0
8.450 * [backup-simplify]: Simplify 1 into 1
8.451 * [backup-simplify]: Simplify (/ 1 1) into 1
8.451 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
8.451 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
8.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.451 * [taylor]: Taking taylor expansion of x in x
8.451 * [backup-simplify]: Simplify 0 into 0
8.451 * [backup-simplify]: Simplify 1 into 1
8.451 * [backup-simplify]: Simplify (/ 1 1) into 1
8.451 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
8.451 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
8.452 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
8.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.452 * [taylor]: Taking taylor expansion of x in x
8.452 * [backup-simplify]: Simplify 0 into 0
8.452 * [backup-simplify]: Simplify 1 into 1
8.452 * [backup-simplify]: Simplify (/ 1 1) into 1
8.452 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
8.452 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
8.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.452 * [taylor]: Taking taylor expansion of x in x
8.452 * [backup-simplify]: Simplify 0 into 0
8.452 * [backup-simplify]: Simplify 1 into 1
8.453 * [backup-simplify]: Simplify (/ 1 1) into 1
8.453 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
8.453 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
8.453 * [backup-simplify]: Simplify (+ 1 0) into 1
8.454 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) 1) into (sin (/ 1 x))
8.454 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- (/ 1 x) (tan (/ 1 x)))) in x
8.454 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
8.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.454 * [taylor]: Taking taylor expansion of x in x
8.454 * [backup-simplify]: Simplify 0 into 0
8.454 * [backup-simplify]: Simplify 1 into 1
8.454 * [backup-simplify]: Simplify (/ 1 1) into 1
8.454 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
8.454 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
8.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.454 * [taylor]: Taking taylor expansion of x in x
8.454 * [backup-simplify]: Simplify 0 into 0
8.454 * [backup-simplify]: Simplify 1 into 1
8.455 * [backup-simplify]: Simplify (/ 1 1) into 1
8.455 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
8.455 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
8.455 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
8.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.455 * [taylor]: Taking taylor expansion of x in x
8.455 * [backup-simplify]: Simplify 0 into 0
8.455 * [backup-simplify]: Simplify 1 into 1
8.455 * [backup-simplify]: Simplify (/ 1 1) into 1
8.455 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
8.456 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
8.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.456 * [taylor]: Taking taylor expansion of x in x
8.456 * [backup-simplify]: Simplify 0 into 0
8.456 * [backup-simplify]: Simplify 1 into 1
8.456 * [backup-simplify]: Simplify (/ 1 1) into 1
8.456 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
8.456 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
8.457 * [backup-simplify]: Simplify (+ 1 0) into 1
8.457 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) 1) into (sin (/ 1 x))
8.457 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
8.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.458 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
8.458 * [backup-simplify]: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
8.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))
8.460 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))
8.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.461 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
8.461 * [backup-simplify]: Simplify (- 0) into 0
8.462 * [backup-simplify]: Simplify (+ 0 0) into 0
8.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (/ (pow (sin (/ 1 x)) 3) (pow (cos (/ 1 x)) 2))
8.464 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 3) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 3) (pow (cos (/ 1 x)) 2))
8.465 * [backup-simplify]: Simplify (+ (* (/ (pow (sin (/ 1 (/ 1 x))) 3) (pow (cos (/ 1 (/ 1 x))) 2)) (pow (/ 1 x) 3)) (+ (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) (* (sin (/ 1 (/ 1 x))) (/ 1 x)))) into (+ (/ (sin x) x) (+ (/ (pow (sin x) 3) (* (pow x 3) (pow (cos x) 2))) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
8.465 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) into (* -1 (/ (sin (/ -1 x)) (+ (tan (/ -1 x)) (/ 1 x))))
8.465 * [approximate]: Taking taylor expansion of (* -1 (/ (sin (/ -1 x)) (+ (tan (/ -1 x)) (/ 1 x)))) in (x) around 0
8.465 * [taylor]: Taking taylor expansion of (* -1 (/ (sin (/ -1 x)) (+ (tan (/ -1 x)) (/ 1 x)))) in x
8.465 * [taylor]: Taking taylor expansion of -1 in x
8.465 * [backup-simplify]: Simplify -1 into -1
8.465 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in x
8.466 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
8.466 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.466 * [taylor]: Taking taylor expansion of -1 in x
8.466 * [backup-simplify]: Simplify -1 into -1
8.466 * [taylor]: Taking taylor expansion of x in x
8.466 * [backup-simplify]: Simplify 0 into 0
8.466 * [backup-simplify]: Simplify 1 into 1
8.466 * [backup-simplify]: Simplify (/ -1 1) into -1
8.466 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
8.466 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
8.466 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
8.466 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.466 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
8.466 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.466 * [taylor]: Taking taylor expansion of -1 in x
8.466 * [backup-simplify]: Simplify -1 into -1
8.466 * [taylor]: Taking taylor expansion of x in x
8.466 * [backup-simplify]: Simplify 0 into 0
8.467 * [backup-simplify]: Simplify 1 into 1
8.467 * [backup-simplify]: Simplify (/ -1 1) into -1
8.467 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
8.467 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
8.467 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.467 * [taylor]: Taking taylor expansion of -1 in x
8.467 * [backup-simplify]: Simplify -1 into -1
8.467 * [taylor]: Taking taylor expansion of x in x
8.467 * [backup-simplify]: Simplify 0 into 0
8.467 * [backup-simplify]: Simplify 1 into 1
8.467 * [backup-simplify]: Simplify (/ -1 1) into -1
8.467 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
8.467 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.467 * [taylor]: Taking taylor expansion of x in x
8.467 * [backup-simplify]: Simplify 0 into 0
8.467 * [backup-simplify]: Simplify 1 into 1
8.468 * [backup-simplify]: Simplify (/ 1 1) into 1
8.468 * [backup-simplify]: Simplify (+ 0 1) into 1
8.468 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) 1) into (sin (/ -1 x))
8.468 * [taylor]: Taking taylor expansion of (* -1 (/ (sin (/ -1 x)) (+ (tan (/ -1 x)) (/ 1 x)))) in x
8.468 * [taylor]: Taking taylor expansion of -1 in x
8.468 * [backup-simplify]: Simplify -1 into -1
8.468 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in x
8.468 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
8.468 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.468 * [taylor]: Taking taylor expansion of -1 in x
8.468 * [backup-simplify]: Simplify -1 into -1
8.468 * [taylor]: Taking taylor expansion of x in x
8.468 * [backup-simplify]: Simplify 0 into 0
8.468 * [backup-simplify]: Simplify 1 into 1
8.469 * [backup-simplify]: Simplify (/ -1 1) into -1
8.469 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
8.469 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
8.469 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
8.469 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.469 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
8.469 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.469 * [taylor]: Taking taylor expansion of -1 in x
8.469 * [backup-simplify]: Simplify -1 into -1
8.469 * [taylor]: Taking taylor expansion of x in x
8.469 * [backup-simplify]: Simplify 0 into 0
8.469 * [backup-simplify]: Simplify 1 into 1
8.469 * [backup-simplify]: Simplify (/ -1 1) into -1
8.469 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
8.469 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
8.469 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.469 * [taylor]: Taking taylor expansion of -1 in x
8.469 * [backup-simplify]: Simplify -1 into -1
8.469 * [taylor]: Taking taylor expansion of x in x
8.469 * [backup-simplify]: Simplify 0 into 0
8.469 * [backup-simplify]: Simplify 1 into 1
8.470 * [backup-simplify]: Simplify (/ -1 1) into -1
8.470 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
8.470 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.470 * [taylor]: Taking taylor expansion of x in x
8.470 * [backup-simplify]: Simplify 0 into 0
8.470 * [backup-simplify]: Simplify 1 into 1
8.470 * [backup-simplify]: Simplify (/ 1 1) into 1
8.470 * [backup-simplify]: Simplify (+ 0 1) into 1
8.470 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) 1) into (sin (/ -1 x))
8.471 * [backup-simplify]: Simplify (* -1 (sin (/ -1 x))) into (* -1 (sin (/ -1 x)))
8.471 * [backup-simplify]: Simplify (* -1 (sin (/ -1 x))) into (* -1 (sin (/ -1 x)))
8.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.471 * [backup-simplify]: Simplify (+ (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
8.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ (/ (sin (/ -1 x)) (cos (/ -1 x))) 1)))) into (- (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))
8.472 * [backup-simplify]: Simplify (+ (* -1 (- (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))) (* 0 (sin (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))
8.472 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))
8.472 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
8.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.473 * [backup-simplify]: Simplify (+ 0 0) into 0
8.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)) (* (- (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) (/ (/ (sin (/ -1 x)) (cos (/ -1 x))) 1)))) into (/ (pow (sin (/ -1 x)) 3) (pow (cos (/ -1 x)) 2))
8.475 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (sin (/ -1 x)) 3) (pow (cos (/ -1 x)) 2))) (+ (* 0 (- (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))) (* 0 (sin (/ -1 x))))) into (- (/ (pow (sin (/ -1 x)) 3) (pow (cos (/ -1 x)) 2)))
8.475 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 3) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 3) (pow (cos (/ -1 x)) 2)))
8.476 * [backup-simplify]: Simplify (+ (* (- (/ (pow (sin (/ -1 (/ 1 (- x)))) 3) (pow (cos (/ -1 (/ 1 (- x)))) 2))) (pow (/ 1 (- x)) 3)) (+ (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) (* (* -1 (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))))) into (+ (/ (sin x) x) (+ (/ (pow (sin x) 3) (* (pow x 3) (pow (cos x) 2))) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
8.476 * * * [progress]: simplifying candidates
8.478 * [simplify]: Simplifying:
  (/ (exp x) (exp (tan x)))
  (log (- x (tan x)))
  (exp (- x (tan x)))
  (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))
  (cbrt (- x (tan x)))
  (* (* (- x (tan x)) (- x (tan x))) (- x (tan x)))
  (sqrt (- x (tan x)))
  (sqrt (- x (tan x)))
  (- (pow x 3) (pow (tan x) 3))
  (+ (* x x) (+ (* (tan x) (tan x)) (* x (tan x))))
  (- (tan x))
  (- (* x x) (* (tan x) (tan x)))
  (+ x (tan x))
  (+ (sqrt x) (sqrt (tan x)))
  (- (sqrt x) (sqrt (tan x)))
  (- x (tan x))
  (- (tan x))
  (/ (exp x) (exp (tan x)))
  (log (- x (tan x)))
  (exp (- x (tan x)))
  (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))
  (cbrt (- x (tan x)))
  (* (* (- x (tan x)) (- x (tan x))) (- x (tan x)))
  (sqrt (- x (tan x)))
  (sqrt (- x (tan x)))
  (- (pow x 3) (pow (tan x) 3))
  (+ (* x x) (+ (* (tan x) (tan x)) (* x (tan x))))
  (- (tan x))
  (- (* x x) (* (tan x) (tan x)))
  (+ x (tan x))
  (+ (sqrt x) (sqrt (tan x)))
  (- (sqrt x) (sqrt (tan x)))
  (- x (tan x))
  (- (tan x))
  (/ (exp (/ x (- x (tan x)))) (exp (/ (sin x) (- x (tan x)))))
  (log (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))))
  (exp (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))))
  (* (cbrt (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))) (cbrt (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))))
  (cbrt (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))))
  (* (* (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))) (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))) (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))))
  (sqrt (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))))
  (sqrt (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))))
  (- x (sin x))
  (- (* x (- x (tan x))) (* (- x (tan x)) (sin x)))
  (* (- x (tan x)) (- x (tan x)))
  (- (pow (/ x (- x (tan x))) 3) (pow (/ (sin x) (- x (tan x))) 3))
  (+ (* (/ x (- x (tan x))) (/ x (- x (tan x)))) (+ (* (/ (sin x) (- x (tan x))) (/ (sin x) (- x (tan x)))) (* (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))))
  (- (/ (sin x) (- x (tan x))))
  (- (* (/ x (- x (tan x))) (/ x (- x (tan x)))) (* (/ (sin x) (- x (tan x))) (/ (sin x) (- x (tan x)))))
  (+ (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
  (+ (sqrt (/ x (- x (tan x)))) (sqrt (/ (sin x) (- x (tan x)))))
  (- (sqrt (/ x (- x (tan x)))) (sqrt (/ (sin x) (- x (tan x)))))
  (+ (sqrt (/ x (- x (tan x)))) (/ (sqrt (sin x)) (sqrt (- x (tan x)))))
  (- (sqrt (/ x (- x (tan x)))) (/ (sqrt (sin x)) (sqrt (- x (tan x)))))
  (+ (/ (sqrt x) (sqrt (- x (tan x)))) (sqrt (/ (sin x) (- x (tan x)))))
  (- (/ (sqrt x) (sqrt (- x (tan x)))) (sqrt (/ (sin x) (- x (tan x)))))
  (+ (/ (sqrt x) (sqrt (- x (tan x)))) (/ (sqrt (sin x)) (sqrt (- x (tan x)))))
  (- (/ (sqrt x) (sqrt (- x (tan x)))) (/ (sqrt (sin x)) (sqrt (- x (tan x)))))
  (- (/ x (cbrt (- x (tan x)))) (/ (sin x) (cbrt (- x (tan x)))))
  (- (/ x (sqrt (- x (tan x)))) (/ (sin x) (sqrt (- x (tan x)))))
  (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
  (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
  (- (/ x (- (sqrt x) (sqrt (tan x)))) (/ (sin x) (- (sqrt x) (sqrt (tan x)))))
  (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
  (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
  (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
  (- x (sin x))
  (- (/ x (- (pow x 3) (pow (tan x) 3))) (/ (sin x) (- (pow x 3) (pow (tan x) 3))))
  (- (/ x (- (* x x) (* (tan x) (tan x)))) (/ (sin x) (- (* x x) (* (tan x) (tan x)))))
  (- (/ (sin x) (- x (tan x))))
  (- (log (sin x)) (log (- x (tan x))))
  (log (/ (sin x) (- x (tan x))))
  (exp (/ (sin x) (- x (tan x))))
  (/ (* (* (sin x) (sin x)) (sin x)) (* (* (- x (tan x)) (- x (tan x))) (- x (tan x))))
  (* (cbrt (/ (sin x) (- x (tan x)))) (cbrt (/ (sin x) (- x (tan x)))))
  (cbrt (/ (sin x) (- x (tan x))))
  (* (* (/ (sin x) (- x (tan x))) (/ (sin x) (- x (tan x)))) (/ (sin x) (- x (tan x))))
  (sqrt (/ (sin x) (- x (tan x))))
  (sqrt (/ (sin x) (- x (tan x))))
  (- (sin x))
  (- (- x (tan x)))
  (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))
  (/ (cbrt (sin x)) (cbrt (- x (tan x))))
  (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (- x (tan x))))
  (/ (cbrt (sin x)) (sqrt (- x (tan x))))
  (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)
  (/ (cbrt (sin x)) (- x (tan x)))
  (/ (* (cbrt (sin x)) (cbrt (sin x))) (+ (sqrt x) (sqrt (tan x))))
  (/ (cbrt (sin x)) (- (sqrt x) (sqrt (tan x))))
  (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)
  (/ (cbrt (sin x)) (- x (tan x)))
  (/ (sqrt (sin x)) (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))
  (/ (sqrt (sin x)) (cbrt (- x (tan x))))
  (/ (sqrt (sin x)) (sqrt (- x (tan x))))
  (/ (sqrt (sin x)) (sqrt (- x (tan x))))
  (/ (sqrt (sin x)) 1)
  (/ (sqrt (sin x)) (- x (tan x)))
  (/ (sqrt (sin x)) (+ (sqrt x) (sqrt (tan x))))
  (/ (sqrt (sin x)) (- (sqrt x) (sqrt (tan x))))
  (/ (sqrt (sin x)) 1)
  (/ (sqrt (sin x)) (- x (tan x)))
  (/ 1 (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))
  (/ (sin x) (cbrt (- x (tan x))))
  (/ 1 (sqrt (- x (tan x))))
  (/ (sin x) (sqrt (- x (tan x))))
  (/ 1 1)
  (/ (sin x) (- x (tan x)))
  (/ 1 (+ (sqrt x) (sqrt (tan x))))
  (/ (sin x) (- (sqrt x) (sqrt (tan x))))
  (/ 1 1)
  (/ (sin x) (- x (tan x)))
  (/ 1 (- x (tan x)))
  (/ (- x (tan x)) (sin x))
  (/ (sin x) (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))))
  (/ (sin x) (sqrt (- x (tan x))))
  (/ (sin x) 1)
  (/ (sin x) (+ (sqrt x) (sqrt (tan x))))
  (/ (sin x) 1)
  (/ (- x (tan x)) (cbrt (sin x)))
  (/ (- x (tan x)) (sqrt (sin x)))
  (/ (- x (tan x)) (sin x))
  (/ (sin x) (- (pow x 3) (pow (tan x) 3)))
  (/ (sin x) (- (* x x) (* (tan x) (tan x))))
  (- (+ (* 17/315 (pow x 7)) (+ (* 1/3 (pow x 3)) (* 2/15 (pow x 5)))))
  (- x (/ (sin x) (cos x)))
  (- x (/ (sin x) (cos x)))
  (- (+ (* 17/315 (pow x 7)) (+ (* 1/3 (pow x 3)) (* 2/15 (pow x 5)))))
  (- x (/ (sin x) (cos x)))
  (- x (/ (sin x) (cos x)))
  (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))
  (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
  (- (+ (/ (sin x) (* x (cos x))) (+ (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2))) 1)) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
  (- 17/10 (+ (* 307/1400 (pow x 2)) (* 3 (/ 1 (pow x 2)))))
  (+ (/ (sin x) x) (+ (/ (pow (sin x) 3) (* (pow x 3) (pow (cos x) 2))) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
  (+ (/ (sin x) x) (+ (/ (pow (sin x) 3) (* (pow x 3) (pow (cos x) 2))) (/ (pow (sin x) 2) (* (pow x 2) (cos x)))))
10.121 * * * [progress]: adding candidates to table
10.515 * [progress]: [Phase 3 of 3] Extracting.
10.516 * * [regime]: Finding splitpoints for: (#<alt (λ (x) (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))))> #<alt (λ (x) (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2)))> #<alt (λ (x) (* (/ (- x (sin x)) (- (* x x) (* (tan x) (tan x)))) (+ x (tan x))))> #<alt (λ (x) (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)))> #<alt (λ (x) (log (exp (/ (- x (sin x)) (- x (tan x))))))>)
10.517 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- x (sin x)) (- x (tan x))) x)
10.517 * * * * [regimes]: Trying to branch on (/ (- x (sin x)) (- x (tan x))) from (#<alt (λ (x) (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))))> #<alt (λ (x) (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2)))> #<alt (λ (x) (* (/ (- x (sin x)) (- (* x x) (* (tan x) (tan x)))) (+ x (tan x))))> #<alt (λ (x) (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)))> #<alt (λ (x) (log (exp (/ (- x (sin x)) (- x (tan x))))))>)
10.551 * * * * [regimes]: Trying to branch on (/ (- x (sin x)) (- x (tan x))) from (#<alt (λ (x) (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)))> #<alt (λ (x) (log (exp (/ (- x (sin x)) (- x (tan x))))))>)
10.595 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x) (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))))> #<alt (λ (x) (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2)))> #<alt (λ (x) (* (/ (- x (sin x)) (- (* x x) (* (tan x) (tan x)))) (+ x (tan x))))> #<alt (λ (x) (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)))> #<alt (λ (x) (log (exp (/ (- x (sin x)) (- x (tan x))))))>)
10.664 * * * [regime]: Found split indices: #<option (#s(si 0 60) #s(si 1 185) #s(si 4 255))>
10.665 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x) (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))))> #<alt (λ (x) (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2)))> #<alt (λ (x) (* (/ (- x (sin x)) (- (* x x) (* (tan x) (tan x)))) (+ x (tan x))))> #<alt (λ (x) (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)))> #<alt (λ (x) (log (exp (/ (- x (sin x)) (- x (tan x))))))>)
10.773 * [regimes]: Found splitpoints: (#s(sp 0 x -0.03460187503695809) #s(sp 1 x 0.029716746907535074) #s(sp 4 x +nan.0)) , with alts (#<alt (λ (x) (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))))> #<alt (λ (x) (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2)))> #<alt (λ (x) (* (/ (- x (sin x)) (- (* x x) (* (tan x) (tan x)))) (+ x (tan x))))> #<alt (λ (x) (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)))> #<alt (λ (x) (log (exp (/ (- x (sin x)) (- x (tan x))))))>)
10.774 * [simplify]: Simplifying:
  (if (<= x -0.03460187503695809) (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))) (if (<= x 0.029716746907535074) (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2)) (log (exp (/ (- x (sin x)) (- x (tan x)))))))
26.262 * [regime-testing]: Baseline error score: 31.422264263410923
26.266 * [regime-testing]: Oracle error score: 0.025208486368917093
26.275 * [regime-testing]: End program error score: 0.03500033525765416