0.512 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.488 * * * [progress]: [2/2] Setting up program.
0.492 * [progress]: [Phase 2 of 3] Improving.
0.494 * [simplify]: Simplifying:
  (/ (- x (sin x)) (- x (tan x)))
0.494 * [simplify]: Sending expressions to egg_math:
 (/ (- h0 (sin h0)) (- h0 (tan h0)))
0.499 * * [progress]: iteration 1 / 4
0.499 * * * [progress]: picking best candidate
0.501 * * * * [pick]: Picked  #<alt (λ (x) (/ (- x (sin x)) (- x (tan x))))>
0.501 * * * [progress]: localizing error
0.516 * * * [progress]: generating rewritten candidates
0.516 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
0.525 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.531 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
0.581 * * * [progress]: generating series expansions
0.581 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
0.584 * [backup-simplify]: Simplify (- x (sin x)) into (- x (sin x))
0.585 * [approximate]: Taking taylor expansion of (- x (sin x)) in (x) around 0
0.585 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
0.585 * [taylor]: Taking taylor expansion of x in x
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify 1 into 1
0.585 * [taylor]: Taking taylor expansion of (sin x) in x
0.585 * [taylor]: Taking taylor expansion of x in x
0.585 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify 1 into 1
0.586 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
0.586 * [taylor]: Taking taylor expansion of x in x
0.586 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify 1 into 1
0.586 * [taylor]: Taking taylor expansion of (sin x) in x
0.586 * [taylor]: Taking taylor expansion of x in x
0.586 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify 1 into 1
0.587 * [backup-simplify]: Simplify (- 0) into 0
0.588 * [backup-simplify]: Simplify (+ 0 0) into 0
0.588 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.590 * [backup-simplify]: Simplify (- 1) into -1
0.590 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.590 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.591 * [backup-simplify]: Simplify (- 0) into 0
0.591 * [backup-simplify]: Simplify (+ 0 0) into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.592 * [backup-simplify]: Simplify (- -1/6) into 1/6
0.592 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
0.593 * [backup-simplify]: Simplify 1/6 into 1/6
0.594 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.594 * [backup-simplify]: Simplify (- 0) into 0
0.594 * [backup-simplify]: Simplify (+ 0 0) into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.596 * [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
0.596 * [backup-simplify]: Simplify (- 1/120) into -1/120
0.597 * [backup-simplify]: Simplify (+ 0 -1/120) into -1/120
0.597 * [backup-simplify]: Simplify -1/120 into -1/120
0.600 * [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
0.600 * [backup-simplify]: Simplify (- 0) into 0
0.600 * [backup-simplify]: Simplify (+ 0 0) into 0
0.600 * [backup-simplify]: Simplify 0 into 0
0.606 * [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
0.606 * [backup-simplify]: Simplify (- -1/5040) into 1/5040
0.607 * [backup-simplify]: Simplify (+ 0 1/5040) into 1/5040
0.607 * [backup-simplify]: Simplify 1/5040 into 1/5040
0.609 * [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)))
0.610 * [backup-simplify]: Simplify (- (/ 1 x) (sin (/ 1 x))) into (- (/ 1 x) (sin (/ 1 x)))
0.610 * [approximate]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in (x) around 0
0.610 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.610 * [taylor]: Taking taylor expansion of x in x
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify 1 into 1
0.610 * [backup-simplify]: Simplify (/ 1 1) into 1
0.610 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.610 * [taylor]: Taking taylor expansion of x in x
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify 1 into 1
0.611 * [backup-simplify]: Simplify (/ 1 1) into 1
0.611 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.611 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
0.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.611 * [taylor]: Taking taylor expansion of x in x
0.611 * [backup-simplify]: Simplify 0 into 0
0.611 * [backup-simplify]: Simplify 1 into 1
0.611 * [backup-simplify]: Simplify (/ 1 1) into 1
0.611 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.611 * [taylor]: Taking taylor expansion of x in x
0.611 * [backup-simplify]: Simplify 0 into 0
0.611 * [backup-simplify]: Simplify 1 into 1
0.612 * [backup-simplify]: Simplify (/ 1 1) into 1
0.612 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.612 * [backup-simplify]: Simplify (+ 1 0) into 1
0.612 * [backup-simplify]: Simplify 1 into 1
0.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.613 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
0.613 * [backup-simplify]: Simplify (+ 0 (- (sin (/ 1 x)))) into (- (sin (/ 1 x)))
0.613 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
0.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.614 * [backup-simplify]: Simplify (- 0) into 0
0.614 * [backup-simplify]: Simplify (+ 0 0) into 0
0.614 * [backup-simplify]: Simplify 0 into 0
0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.615 * [backup-simplify]: Simplify (- 0) into 0
0.615 * [backup-simplify]: Simplify (+ 0 0) into 0
0.615 * [backup-simplify]: Simplify 0 into 0
0.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 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
0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.617 * [backup-simplify]: Simplify (- 0) into 0
0.617 * [backup-simplify]: Simplify (+ 0 0) into 0
0.617 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.618 * [backup-simplify]: Simplify (- 0) into 0
0.618 * [backup-simplify]: Simplify (+ 0 0) into 0
0.618 * [backup-simplify]: Simplify 0 into 0
0.618 * [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
0.619 * [backup-simplify]: Simplify (- 0) into 0
0.619 * [backup-simplify]: Simplify (+ 0 0) into 0
0.619 * [backup-simplify]: Simplify 0 into 0
0.619 * [backup-simplify]: Simplify (+ (- (sin (/ 1 (/ 1 x)))) (* 1 (/ 1 (/ 1 x)))) into (- x (sin x))
0.619 * [backup-simplify]: Simplify (- (/ 1 (- x)) (sin (/ 1 (- x)))) into (- (+ (sin (/ -1 x)) (/ 1 x)))
0.619 * [approximate]: Taking taylor expansion of (- (+ (sin (/ -1 x)) (/ 1 x))) in (x) around 0
0.619 * [taylor]: Taking taylor expansion of (- (+ (sin (/ -1 x)) (/ 1 x))) in x
0.619 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
0.619 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.619 * [taylor]: Taking taylor expansion of -1 in x
0.619 * [backup-simplify]: Simplify -1 into -1
0.619 * [taylor]: Taking taylor expansion of x in x
0.619 * [backup-simplify]: Simplify 0 into 0
0.619 * [backup-simplify]: Simplify 1 into 1
0.620 * [backup-simplify]: Simplify (/ -1 1) into -1
0.620 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.620 * [taylor]: Taking taylor expansion of x in x
0.620 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify 1 into 1
0.620 * [backup-simplify]: Simplify (/ 1 1) into 1
0.620 * [taylor]: Taking taylor expansion of (- (+ (sin (/ -1 x)) (/ 1 x))) in x
0.620 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
0.620 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.620 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.620 * [taylor]: Taking taylor expansion of -1 in x
0.620 * [backup-simplify]: Simplify -1 into -1
0.620 * [taylor]: Taking taylor expansion of x in x
0.620 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify 1 into 1
0.621 * [backup-simplify]: Simplify (/ -1 1) into -1
0.621 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.621 * [taylor]: Taking taylor expansion of x in x
0.621 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify 1 into 1
0.621 * [backup-simplify]: Simplify (/ 1 1) into 1
0.621 * [backup-simplify]: Simplify (+ 0 1) into 1
0.622 * [backup-simplify]: Simplify (- 1) into -1
0.622 * [backup-simplify]: Simplify -1 into -1
0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.622 * [backup-simplify]: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x))
0.622 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
0.622 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.623 * [backup-simplify]: Simplify (+ 0 0) into 0
0.623 * [backup-simplify]: Simplify (- 0) into 0
0.623 * [backup-simplify]: Simplify 0 into 0
0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.624 * [backup-simplify]: Simplify (+ 0 0) into 0
0.624 * [backup-simplify]: Simplify (- 0) into 0
0.624 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.625 * [backup-simplify]: Simplify (+ 0 0) into 0
0.625 * [backup-simplify]: Simplify (- 0) into 0
0.625 * [backup-simplify]: Simplify 0 into 0
0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.626 * [backup-simplify]: Simplify (+ 0 0) into 0
0.626 * [backup-simplify]: Simplify (- 0) into 0
0.626 * [backup-simplify]: Simplify 0 into 0
0.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.627 * [backup-simplify]: Simplify (+ 0 0) into 0
0.627 * [backup-simplify]: Simplify (- 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.628 * [backup-simplify]: Simplify (+ 0 0) into 0
0.628 * [backup-simplify]: Simplify (- 0) into 0
0.628 * [backup-simplify]: Simplify 0 into 0
0.628 * [backup-simplify]: Simplify (+ (- (sin (/ -1 (/ 1 (- x))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (sin x))
0.628 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.628 * [backup-simplify]: Simplify (- x (tan x)) into (- x (tan x))
0.629 * [approximate]: Taking taylor expansion of (- x (tan x)) in (x) around 0
0.629 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
0.629 * [taylor]: Taking taylor expansion of x in x
0.629 * [backup-simplify]: Simplify 0 into 0
0.629 * [backup-simplify]: Simplify 1 into 1
0.629 * [taylor]: Taking taylor expansion of (tan x) in x
0.630 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.630 * [taylor]: Taking taylor expansion of (sin x) in x
0.630 * [taylor]: Taking taylor expansion of x in x
0.630 * [backup-simplify]: Simplify 0 into 0
0.630 * [backup-simplify]: Simplify 1 into 1
0.630 * [taylor]: Taking taylor expansion of (cos x) in x
0.630 * [taylor]: Taking taylor expansion of x in x
0.630 * [backup-simplify]: Simplify 0 into 0
0.630 * [backup-simplify]: Simplify 1 into 1
0.630 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.631 * [backup-simplify]: Simplify (/ 1 1) into 1
0.631 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
0.631 * [taylor]: Taking taylor expansion of x in x
0.631 * [backup-simplify]: Simplify 0 into 0
0.631 * [backup-simplify]: Simplify 1 into 1
0.631 * [taylor]: Taking taylor expansion of (tan x) in x
0.631 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.631 * [taylor]: Taking taylor expansion of (sin x) in x
0.631 * [taylor]: Taking taylor expansion of x in x
0.631 * [backup-simplify]: Simplify 0 into 0
0.631 * [backup-simplify]: Simplify 1 into 1
0.631 * [taylor]: Taking taylor expansion of (cos x) in x
0.631 * [taylor]: Taking taylor expansion of x in x
0.631 * [backup-simplify]: Simplify 0 into 0
0.631 * [backup-simplify]: Simplify 1 into 1
0.631 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.632 * [backup-simplify]: Simplify (/ 1 1) into 1
0.632 * [backup-simplify]: Simplify (+ 0 0) into 0
0.632 * [backup-simplify]: Simplify 0 into 0
0.632 * [backup-simplify]: Simplify (- 1) into -1
0.632 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.633 * [backup-simplify]: Simplify 0 into 0
0.633 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.634 * [backup-simplify]: Simplify (+ 0) into 0
0.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.634 * [backup-simplify]: Simplify (- 0) into 0
0.635 * [backup-simplify]: Simplify (+ 0 0) into 0
0.635 * [backup-simplify]: Simplify 0 into 0
0.635 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.636 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.637 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
0.637 * [backup-simplify]: Simplify (- 1/3) into -1/3
0.637 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
0.637 * [backup-simplify]: Simplify -1/3 into -1/3
0.638 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.639 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
0.640 * [backup-simplify]: Simplify (- 0) into 0
0.640 * [backup-simplify]: Simplify (+ 0 0) into 0
0.640 * [backup-simplify]: Simplify 0 into 0
0.642 * [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
0.644 * [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
0.645 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
0.645 * [backup-simplify]: Simplify (- 2/15) into -2/15
0.645 * [backup-simplify]: Simplify (+ 0 -2/15) into -2/15
0.645 * [backup-simplify]: Simplify -2/15 into -2/15
0.648 * [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
0.649 * [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
0.650 * [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
0.651 * [backup-simplify]: Simplify (- 0) into 0
0.651 * [backup-simplify]: Simplify (+ 0 0) into 0
0.651 * [backup-simplify]: Simplify 0 into 0
0.655 * [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
0.657 * [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
0.659 * [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
0.659 * [backup-simplify]: Simplify (- 17/315) into -17/315
0.660 * [backup-simplify]: Simplify (+ 0 -17/315) into -17/315
0.660 * [backup-simplify]: Simplify -17/315 into -17/315
0.660 * [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)))))
0.660 * [backup-simplify]: Simplify (- (/ 1 x) (tan (/ 1 x))) into (- (/ 1 x) (tan (/ 1 x)))
0.660 * [approximate]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in (x) around 0
0.660 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.660 * [taylor]: Taking taylor expansion of x in x
0.660 * [backup-simplify]: Simplify 0 into 0
0.660 * [backup-simplify]: Simplify 1 into 1
0.661 * [backup-simplify]: Simplify (/ 1 1) into 1
0.661 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.661 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.661 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.661 * [taylor]: Taking taylor expansion of x in x
0.661 * [backup-simplify]: Simplify 0 into 0
0.661 * [backup-simplify]: Simplify 1 into 1
0.661 * [backup-simplify]: Simplify (/ 1 1) into 1
0.661 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.661 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.661 * [taylor]: Taking taylor expansion of x in x
0.661 * [backup-simplify]: Simplify 0 into 0
0.661 * [backup-simplify]: Simplify 1 into 1
0.661 * [backup-simplify]: Simplify (/ 1 1) into 1
0.662 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.662 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.662 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
0.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.662 * [taylor]: Taking taylor expansion of x in x
0.662 * [backup-simplify]: Simplify 0 into 0
0.662 * [backup-simplify]: Simplify 1 into 1
0.662 * [backup-simplify]: Simplify (/ 1 1) into 1
0.662 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.662 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.662 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.662 * [taylor]: Taking taylor expansion of x in x
0.662 * [backup-simplify]: Simplify 0 into 0
0.662 * [backup-simplify]: Simplify 1 into 1
0.662 * [backup-simplify]: Simplify (/ 1 1) into 1
0.663 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.663 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.663 * [taylor]: Taking taylor expansion of x in x
0.663 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify 1 into 1
0.663 * [backup-simplify]: Simplify (/ 1 1) into 1
0.663 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.663 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.671 * [backup-simplify]: Simplify (+ 1 0) into 1
0.672 * [backup-simplify]: Simplify 1 into 1
0.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.673 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
0.673 * [backup-simplify]: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
0.673 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
0.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.674 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
0.674 * [backup-simplify]: Simplify (- 0) into 0
0.674 * [backup-simplify]: Simplify (+ 0 0) into 0
0.674 * [backup-simplify]: Simplify 0 into 0
0.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.675 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.675 * [backup-simplify]: Simplify (- 0) into 0
0.675 * [backup-simplify]: Simplify (+ 0 0) into 0
0.675 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.677 * [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
0.677 * [backup-simplify]: Simplify (- 0) into 0
0.677 * [backup-simplify]: Simplify (+ 0 0) into 0
0.677 * [backup-simplify]: Simplify 0 into 0
0.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.678 * [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
0.678 * [backup-simplify]: Simplify (- 0) into 0
0.679 * [backup-simplify]: Simplify (+ 0 0) into 0
0.679 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.680 * [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
0.680 * [backup-simplify]: Simplify (- 0) into 0
0.680 * [backup-simplify]: Simplify (+ 0 0) into 0
0.680 * [backup-simplify]: Simplify 0 into 0
0.681 * [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
0.681 * [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
0.681 * [backup-simplify]: Simplify (- 0) into 0
0.682 * [backup-simplify]: Simplify (+ 0 0) into 0
0.682 * [backup-simplify]: Simplify 0 into 0
0.682 * [backup-simplify]: Simplify (+ (- (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x))))) (* 1 (/ 1 (/ 1 x)))) into (- x (/ (sin x) (cos x)))
0.682 * [backup-simplify]: Simplify (- (/ 1 (- x)) (tan (/ 1 (- x)))) into (- (+ (tan (/ -1 x)) (/ 1 x)))
0.682 * [approximate]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in (x) around 0
0.682 * [taylor]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in x
0.682 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
0.682 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.682 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.682 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.682 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.682 * [taylor]: Taking taylor expansion of -1 in x
0.682 * [backup-simplify]: Simplify -1 into -1
0.682 * [taylor]: Taking taylor expansion of x in x
0.682 * [backup-simplify]: Simplify 0 into 0
0.682 * [backup-simplify]: Simplify 1 into 1
0.683 * [backup-simplify]: Simplify (/ -1 1) into -1
0.683 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.683 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.683 * [taylor]: Taking taylor expansion of -1 in x
0.683 * [backup-simplify]: Simplify -1 into -1
0.683 * [taylor]: Taking taylor expansion of x in x
0.683 * [backup-simplify]: Simplify 0 into 0
0.683 * [backup-simplify]: Simplify 1 into 1
0.683 * [backup-simplify]: Simplify (/ -1 1) into -1
0.683 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.683 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.683 * [taylor]: Taking taylor expansion of x in x
0.683 * [backup-simplify]: Simplify 0 into 0
0.683 * [backup-simplify]: Simplify 1 into 1
0.683 * [backup-simplify]: Simplify (/ 1 1) into 1
0.684 * [taylor]: Taking taylor expansion of (- (+ (tan (/ -1 x)) (/ 1 x))) in x
0.684 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
0.684 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.684 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.684 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.684 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.684 * [taylor]: Taking taylor expansion of -1 in x
0.684 * [backup-simplify]: Simplify -1 into -1
0.684 * [taylor]: Taking taylor expansion of x in x
0.684 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify 1 into 1
0.684 * [backup-simplify]: Simplify (/ -1 1) into -1
0.684 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.684 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.684 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.684 * [taylor]: Taking taylor expansion of -1 in x
0.684 * [backup-simplify]: Simplify -1 into -1
0.684 * [taylor]: Taking taylor expansion of x in x
0.684 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify 1 into 1
0.684 * [backup-simplify]: Simplify (/ -1 1) into -1
0.684 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.685 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.685 * [taylor]: Taking taylor expansion of x in x
0.685 * [backup-simplify]: Simplify 0 into 0
0.685 * [backup-simplify]: Simplify 1 into 1
0.685 * [backup-simplify]: Simplify (/ 1 1) into 1
0.685 * [backup-simplify]: Simplify (+ 0 1) into 1
0.685 * [backup-simplify]: Simplify (- 1) into -1
0.685 * [backup-simplify]: Simplify -1 into -1
0.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.686 * [backup-simplify]: Simplify (+ (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.686 * [backup-simplify]: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x))))
0.686 * [backup-simplify]: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x))))
0.686 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
0.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.687 * [backup-simplify]: Simplify (+ 0 0) into 0
0.687 * [backup-simplify]: Simplify (- 0) into 0
0.687 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.689 * [backup-simplify]: Simplify (+ 0 0) into 0
0.689 * [backup-simplify]: Simplify (- 0) into 0
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [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
0.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.690 * [backup-simplify]: Simplify (+ 0 0) into 0
0.690 * [backup-simplify]: Simplify (- 0) into 0
0.690 * [backup-simplify]: Simplify 0 into 0
0.690 * [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
0.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.691 * [backup-simplify]: Simplify (+ 0 0) into 0
0.691 * [backup-simplify]: Simplify (- 0) into 0
0.691 * [backup-simplify]: Simplify 0 into 0
0.692 * [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
0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.693 * [backup-simplify]: Simplify (+ 0 0) into 0
0.693 * [backup-simplify]: Simplify (- 0) into 0
0.693 * [backup-simplify]: Simplify 0 into 0
0.693 * [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
0.694 * [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
0.694 * [backup-simplify]: Simplify (+ 0 0) into 0
0.695 * [backup-simplify]: Simplify (- 0) into 0
0.695 * [backup-simplify]: Simplify 0 into 0
0.695 * [backup-simplify]: Simplify (+ (- (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (/ (sin x) (cos x)))
0.696 * * * * [progress]: [ 3 / 3 ] generating series at (2)
0.696 * [backup-simplify]: Simplify (/ (- x (sin x)) (- x (tan x))) into (/ (- x (sin x)) (- x (tan x)))
0.696 * [approximate]: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in (x) around 0
0.696 * [taylor]: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in x
0.696 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
0.696 * [taylor]: Taking taylor expansion of x in x
0.696 * [backup-simplify]: Simplify 0 into 0
0.696 * [backup-simplify]: Simplify 1 into 1
0.696 * [taylor]: Taking taylor expansion of (sin x) in x
0.696 * [taylor]: Taking taylor expansion of x in x
0.696 * [backup-simplify]: Simplify 0 into 0
0.696 * [backup-simplify]: Simplify 1 into 1
0.696 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
0.696 * [taylor]: Taking taylor expansion of x in x
0.696 * [backup-simplify]: Simplify 0 into 0
0.696 * [backup-simplify]: Simplify 1 into 1
0.696 * [taylor]: Taking taylor expansion of (tan x) in x
0.697 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.697 * [taylor]: Taking taylor expansion of (sin x) in x
0.697 * [taylor]: Taking taylor expansion of x in x
0.697 * [backup-simplify]: Simplify 0 into 0
0.697 * [backup-simplify]: Simplify 1 into 1
0.697 * [taylor]: Taking taylor expansion of (cos x) in x
0.697 * [taylor]: Taking taylor expansion of x in x
0.697 * [backup-simplify]: Simplify 0 into 0
0.697 * [backup-simplify]: Simplify 1 into 1
0.698 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.698 * [backup-simplify]: Simplify (/ 1 1) into 1
0.698 * [backup-simplify]: Simplify (- 0) into 0
0.699 * [backup-simplify]: Simplify (+ 0 0) into 0
0.699 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.699 * [backup-simplify]: Simplify (- 1) into -1
0.700 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.700 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.701 * [backup-simplify]: Simplify (- 0) into 0
0.701 * [backup-simplify]: Simplify (+ 0 0) into 0
0.702 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.702 * [backup-simplify]: Simplify (- -1/6) into 1/6
0.702 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
0.703 * [backup-simplify]: Simplify (+ 0 0) into 0
0.703 * [backup-simplify]: Simplify (- 1) into -1
0.703 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.703 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.704 * [backup-simplify]: Simplify (+ 0) into 0
0.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.704 * [backup-simplify]: Simplify (- 0) into 0
0.705 * [backup-simplify]: Simplify (+ 0 0) into 0
0.705 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.706 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.707 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
0.707 * [backup-simplify]: Simplify (- 1/3) into -1/3
0.707 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
0.708 * [backup-simplify]: Simplify (/ 1/6 -1/3) into -1/2
0.708 * [taylor]: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in x
0.708 * [taylor]: Taking taylor expansion of (- x (sin x)) in x
0.708 * [taylor]: Taking taylor expansion of x in x
0.708 * [backup-simplify]: Simplify 0 into 0
0.708 * [backup-simplify]: Simplify 1 into 1
0.708 * [taylor]: Taking taylor expansion of (sin x) in x
0.708 * [taylor]: Taking taylor expansion of x in x
0.708 * [backup-simplify]: Simplify 0 into 0
0.708 * [backup-simplify]: Simplify 1 into 1
0.708 * [taylor]: Taking taylor expansion of (- x (tan x)) in x
0.708 * [taylor]: Taking taylor expansion of x in x
0.708 * [backup-simplify]: Simplify 0 into 0
0.708 * [backup-simplify]: Simplify 1 into 1
0.708 * [taylor]: Taking taylor expansion of (tan x) in x
0.708 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.708 * [taylor]: Taking taylor expansion of (sin x) in x
0.708 * [taylor]: Taking taylor expansion of x in x
0.708 * [backup-simplify]: Simplify 0 into 0
0.708 * [backup-simplify]: Simplify 1 into 1
0.708 * [taylor]: Taking taylor expansion of (cos x) in x
0.708 * [taylor]: Taking taylor expansion of x in x
0.708 * [backup-simplify]: Simplify 0 into 0
0.708 * [backup-simplify]: Simplify 1 into 1
0.709 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.709 * [backup-simplify]: Simplify (/ 1 1) into 1
0.709 * [backup-simplify]: Simplify (- 0) into 0
0.709 * [backup-simplify]: Simplify (+ 0 0) into 0
0.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.710 * [backup-simplify]: Simplify (- 1) into -1
0.710 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.711 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.711 * [backup-simplify]: Simplify (- 0) into 0
0.711 * [backup-simplify]: Simplify (+ 0 0) into 0
0.712 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.712 * [backup-simplify]: Simplify (- -1/6) into 1/6
0.713 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
0.713 * [backup-simplify]: Simplify (+ 0 0) into 0
0.713 * [backup-simplify]: Simplify (- 1) into -1
0.713 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.714 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.714 * [backup-simplify]: Simplify (+ 0) into 0
0.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.715 * [backup-simplify]: Simplify (- 0) into 0
0.715 * [backup-simplify]: Simplify (+ 0 0) into 0
0.716 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.716 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.717 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
0.717 * [backup-simplify]: Simplify (- 1/3) into -1/3
0.718 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3
0.718 * [backup-simplify]: Simplify (/ 1/6 -1/3) into -1/2
0.718 * [backup-simplify]: Simplify -1/2 into -1/2
0.719 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.719 * [backup-simplify]: Simplify (- 0) into 0
0.719 * [backup-simplify]: Simplify (+ 0 0) into 0
0.720 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.721 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
0.722 * [backup-simplify]: Simplify (- 0) into 0
0.722 * [backup-simplify]: Simplify (+ 0 0) into 0
0.723 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -1/2 (/ 0 -1/3)))) into 0
0.723 * [backup-simplify]: Simplify 0 into 0
0.725 * [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
0.725 * [backup-simplify]: Simplify (- 1/120) into -1/120
0.725 * [backup-simplify]: Simplify (+ 0 -1/120) into -1/120
0.727 * [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
0.729 * [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
0.730 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
0.730 * [backup-simplify]: Simplify (- 2/15) into -2/15
0.730 * [backup-simplify]: Simplify (+ 0 -2/15) into -2/15
0.731 * [backup-simplify]: Simplify (- (/ -1/120 -1/3) (+ (* -1/2 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 9/40
0.731 * [backup-simplify]: Simplify 9/40 into 9/40
0.734 * [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
0.734 * [backup-simplify]: Simplify (- 0) into 0
0.734 * [backup-simplify]: Simplify (+ 0 0) into 0
0.737 * [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
0.738 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.739 * [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
0.740 * [backup-simplify]: Simplify (- 0) into 0
0.740 * [backup-simplify]: Simplify (+ 0 0) into 0
0.741 * [backup-simplify]: Simplify (- (/ 0 -1/3) (+ (* -1/2 (/ 0 -1/3)) (* 0 (/ -2/15 -1/3)) (* 9/40 (/ 0 -1/3)))) into 0
0.741 * [backup-simplify]: Simplify 0 into 0
0.745 * [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
0.745 * [backup-simplify]: Simplify (- -1/5040) into 1/5040
0.745 * [backup-simplify]: Simplify (+ 0 1/5040) into 1/5040
0.749 * [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
0.752 * [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
0.753 * [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
0.753 * [backup-simplify]: Simplify (- 17/315) into -17/315
0.754 * [backup-simplify]: Simplify (+ 0 -17/315) into -17/315
0.755 * [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
0.755 * [backup-simplify]: Simplify -27/2800 into -27/2800
0.755 * [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))
0.755 * [backup-simplify]: Simplify (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) into (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x))))
0.755 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in (x) around 0
0.755 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in x
0.755 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
0.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.756 * [taylor]: Taking taylor expansion of x in x
0.756 * [backup-simplify]: Simplify 0 into 0
0.756 * [backup-simplify]: Simplify 1 into 1
0.756 * [backup-simplify]: Simplify (/ 1 1) into 1
0.756 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.756 * [taylor]: Taking taylor expansion of x in x
0.756 * [backup-simplify]: Simplify 0 into 0
0.756 * [backup-simplify]: Simplify 1 into 1
0.756 * [backup-simplify]: Simplify (/ 1 1) into 1
0.756 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.756 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.756 * [taylor]: Taking taylor expansion of x in x
0.756 * [backup-simplify]: Simplify 0 into 0
0.756 * [backup-simplify]: Simplify 1 into 1
0.756 * [backup-simplify]: Simplify (/ 1 1) into 1
0.756 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.757 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.757 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.757 * [taylor]: Taking taylor expansion of x in x
0.757 * [backup-simplify]: Simplify 0 into 0
0.757 * [backup-simplify]: Simplify 1 into 1
0.757 * [backup-simplify]: Simplify (/ 1 1) into 1
0.757 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.757 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.757 * [taylor]: Taking taylor expansion of x in x
0.757 * [backup-simplify]: Simplify 0 into 0
0.757 * [backup-simplify]: Simplify 1 into 1
0.757 * [backup-simplify]: Simplify (/ 1 1) into 1
0.757 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.757 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.758 * [backup-simplify]: Simplify (+ 1 0) into 1
0.758 * [backup-simplify]: Simplify (+ 1 0) into 1
0.758 * [backup-simplify]: Simplify (/ 1 1) into 1
0.758 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in x
0.758 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in x
0.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.758 * [taylor]: Taking taylor expansion of x in x
0.758 * [backup-simplify]: Simplify 0 into 0
0.758 * [backup-simplify]: Simplify 1 into 1
0.759 * [backup-simplify]: Simplify (/ 1 1) into 1
0.759 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.759 * [taylor]: Taking taylor expansion of x in x
0.759 * [backup-simplify]: Simplify 0 into 0
0.759 * [backup-simplify]: Simplify 1 into 1
0.759 * [backup-simplify]: Simplify (/ 1 1) into 1
0.759 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.759 * [taylor]: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in x
0.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.759 * [taylor]: Taking taylor expansion of x in x
0.759 * [backup-simplify]: Simplify 0 into 0
0.759 * [backup-simplify]: Simplify 1 into 1
0.759 * [backup-simplify]: Simplify (/ 1 1) into 1
0.759 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.759 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.759 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.759 * [taylor]: Taking taylor expansion of x in x
0.759 * [backup-simplify]: Simplify 0 into 0
0.760 * [backup-simplify]: Simplify 1 into 1
0.760 * [backup-simplify]: Simplify (/ 1 1) into 1
0.760 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.760 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.760 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1
0.760 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.760 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.761 * [backup-simplify]: Simplify (+ 1 0) into 1
0.761 * [backup-simplify]: Simplify (+ 1 0) into 1
0.766 * [backup-simplify]: Simplify (/ 1 1) into 1
0.766 * [backup-simplify]: Simplify 1 into 1
0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.767 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
0.767 * [backup-simplify]: Simplify (+ 0 (- (sin (/ 1 x)))) into (- (sin (/ 1 x)))
0.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.767 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
0.767 * [backup-simplify]: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))))
0.768 * [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)))
0.768 * [backup-simplify]: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))
0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.768 * [backup-simplify]: Simplify (- 0) into 0
0.769 * [backup-simplify]: Simplify (+ 0 0) into 0
0.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.769 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
0.770 * [backup-simplify]: Simplify (- 0) into 0
0.770 * [backup-simplify]: Simplify (+ 0 0) into 0
0.771 * [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))))
0.771 * [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))))
0.772 * [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)))))
0.772 * [backup-simplify]: Simplify (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) into (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x)))
0.772 * [approximate]: Taking taylor expansion of (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in (x) around 0
0.772 * [taylor]: Taking taylor expansion of (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in x
0.772 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
0.772 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.772 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.772 * [taylor]: Taking taylor expansion of -1 in x
0.772 * [backup-simplify]: Simplify -1 into -1
0.772 * [taylor]: Taking taylor expansion of x in x
0.772 * [backup-simplify]: Simplify 0 into 0
0.772 * [backup-simplify]: Simplify 1 into 1
0.773 * [backup-simplify]: Simplify (/ -1 1) into -1
0.773 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.773 * [taylor]: Taking taylor expansion of x in x
0.773 * [backup-simplify]: Simplify 0 into 0
0.773 * [backup-simplify]: Simplify 1 into 1
0.773 * [backup-simplify]: Simplify (/ 1 1) into 1
0.773 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
0.773 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.773 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.773 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.773 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.773 * [taylor]: Taking taylor expansion of -1 in x
0.773 * [backup-simplify]: Simplify -1 into -1
0.773 * [taylor]: Taking taylor expansion of x in x
0.773 * [backup-simplify]: Simplify 0 into 0
0.773 * [backup-simplify]: Simplify 1 into 1
0.774 * [backup-simplify]: Simplify (/ -1 1) into -1
0.774 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.774 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.774 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.774 * [taylor]: Taking taylor expansion of -1 in x
0.774 * [backup-simplify]: Simplify -1 into -1
0.774 * [taylor]: Taking taylor expansion of x in x
0.774 * [backup-simplify]: Simplify 0 into 0
0.774 * [backup-simplify]: Simplify 1 into 1
0.774 * [backup-simplify]: Simplify (/ -1 1) into -1
0.774 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.774 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.774 * [taylor]: Taking taylor expansion of x in x
0.774 * [backup-simplify]: Simplify 0 into 0
0.774 * [backup-simplify]: Simplify 1 into 1
0.774 * [backup-simplify]: Simplify (/ 1 1) into 1
0.775 * [backup-simplify]: Simplify (+ 0 1) into 1
0.775 * [backup-simplify]: Simplify (+ 0 1) into 1
0.775 * [backup-simplify]: Simplify (/ 1 1) into 1
0.775 * [taylor]: Taking taylor expansion of (/ (+ (sin (/ -1 x)) (/ 1 x)) (+ (tan (/ -1 x)) (/ 1 x))) in x
0.775 * [taylor]: Taking taylor expansion of (+ (sin (/ -1 x)) (/ 1 x)) in x
0.775 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.775 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.775 * [taylor]: Taking taylor expansion of -1 in x
0.775 * [backup-simplify]: Simplify -1 into -1
0.775 * [taylor]: Taking taylor expansion of x in x
0.775 * [backup-simplify]: Simplify 0 into 0
0.775 * [backup-simplify]: Simplify 1 into 1
0.776 * [backup-simplify]: Simplify (/ -1 1) into -1
0.776 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.776 * [taylor]: Taking taylor expansion of x in x
0.776 * [backup-simplify]: Simplify 0 into 0
0.776 * [backup-simplify]: Simplify 1 into 1
0.776 * [backup-simplify]: Simplify (/ 1 1) into 1
0.776 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (/ 1 x)) in x
0.776 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.776 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.776 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.776 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.776 * [taylor]: Taking taylor expansion of -1 in x
0.776 * [backup-simplify]: Simplify -1 into -1
0.776 * [taylor]: Taking taylor expansion of x in x
0.776 * [backup-simplify]: Simplify 0 into 0
0.776 * [backup-simplify]: Simplify 1 into 1
0.776 * [backup-simplify]: Simplify (/ -1 1) into -1
0.777 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.777 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.777 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.777 * [taylor]: Taking taylor expansion of -1 in x
0.777 * [backup-simplify]: Simplify -1 into -1
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 * [backup-simplify]: Simplify (/ -1 1) into -1
0.777 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.777 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.777 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1
0.778 * [backup-simplify]: Simplify (+ 0 1) into 1
0.778 * [backup-simplify]: Simplify (+ 0 1) into 1
0.778 * [backup-simplify]: Simplify (/ 1 1) into 1
0.778 * [backup-simplify]: Simplify 1 into 1
0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.779 * [backup-simplify]: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x))
0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.779 * [backup-simplify]: Simplify (+ (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.779 * [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))))
0.780 * [backup-simplify]: Simplify (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))
0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.780 * [backup-simplify]: Simplify (+ 0 0) into 0
0.780 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.781 * [backup-simplify]: Simplify (+ 0 0) into 0
0.782 * [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))))
0.783 * [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))))
0.783 * [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)))))
0.784 * * * [progress]: simplifying candidates
0.786 * [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)))))
0.786 * [simplify]: Sending expressions to egg_math:
 (/ (exp h0) (exp (sin h0)))
 (log (- h0 (sin h0)))
 (exp (- h0 (sin h0)))
 (* (cbrt (- h0 (sin h0))) (cbrt (- h0 (sin h0))))
 (cbrt (- h0 (sin h0)))
 (* (* (- h0 (sin h0)) (- h0 (sin h0))) (- h0 (sin h0)))
 (sqrt (- h0 (sin h0)))
 (sqrt (- h0 (sin h0)))
 (- (pow h0 3) (pow (sin h0) 3))
 (+ (* h0 h0) (+ (* (sin h0) (sin h0)) (* h0 (sin h0))))
 (- (sin h0))
 (- (* h0 h0) (* (sin h0) (sin h0)))
 (+ h0 (sin h0))
 (+ (sqrt h0) (sqrt (sin h0)))
 (- (sqrt h0) (sqrt (sin h0)))
 (- h0 (sin h0))
 (- (sin h0))
 (/ (exp h0) (exp (tan h0)))
 (log (- h0 (tan h0)))
 (exp (- h0 (tan h0)))
 (* (cbrt (- h0 (tan h0))) (cbrt (- h0 (tan h0))))
 (cbrt (- h0 (tan h0)))
 (* (* (- h0 (tan h0)) (- h0 (tan h0))) (- h0 (tan h0)))
 (sqrt (- h0 (tan h0)))
 (sqrt (- h0 (tan h0)))
 (- (pow h0 3) (pow (tan h0) 3))
 (+ (* h0 h0) (+ (* (tan h0) (tan h0)) (* h0 (tan h0))))
 (- (tan h0))
 (- (* h0 h0) (* (tan h0) (tan h0)))
 (+ h0 (tan h0))
 (+ (sqrt h0) (sqrt (tan h0)))
 (- (sqrt h0) (sqrt (tan h0)))
 (- h0 (tan h0))
 (- (tan h0))
 (- (log (- h0 (sin h0))) (log (- h0 (tan h0))))
 (log (/ (- h0 (sin h0)) (- h0 (tan h0))))
 (exp (/ (- h0 (sin h0)) (- h0 (tan h0))))
 (/ (* (* (- h0 (sin h0)) (- h0 (sin h0))) (- h0 (sin h0))) (* (* (- h0 (tan h0)) (- h0 (tan h0))) (- h0 (tan h0))))
 (* (cbrt (/ (- h0 (sin h0)) (- h0 (tan h0)))) (cbrt (/ (- h0 (sin h0)) (- h0 (tan h0)))))
 (cbrt (/ (- h0 (sin h0)) (- h0 (tan h0))))
 (* (* (/ (- h0 (sin h0)) (- h0 (tan h0))) (/ (- h0 (sin h0)) (- h0 (tan h0)))) (/ (- h0 (sin h0)) (- h0 (tan h0))))
 (sqrt (/ (- h0 (sin h0)) (- h0 (tan h0))))
 (sqrt (/ (- h0 (sin h0)) (- h0 (tan h0))))
 (- (- h0 (sin h0)))
 (- (- h0 (tan h0)))
 (/ h0 (- h0 (tan h0)))
 (/ (sin h0) (- h0 (tan h0)))
 (/ (* (cbrt (- h0 (sin h0))) (cbrt (- h0 (sin h0)))) (* (cbrt (- h0 (tan h0))) (cbrt (- h0 (tan h0)))))
 (/ (cbrt (- h0 (sin h0))) (cbrt (- h0 (tan h0))))
 (/ (* (cbrt (- h0 (sin h0))) (cbrt (- h0 (sin h0)))) (sqrt (- h0 (tan h0))))
 (/ (cbrt (- h0 (sin h0))) (sqrt (- h0 (tan h0))))
 (/ (* (cbrt (- h0 (sin h0))) (cbrt (- h0 (sin h0)))) 1)
 (/ (cbrt (- h0 (sin h0))) (- h0 (tan h0)))
 (/ (* (cbrt (- h0 (sin h0))) (cbrt (- h0 (sin h0)))) (+ (sqrt h0) (sqrt (tan h0))))
 (/ (cbrt (- h0 (sin h0))) (- (sqrt h0) (sqrt (tan h0))))
 (/ (* (cbrt (- h0 (sin h0))) (cbrt (- h0 (sin h0)))) 1)
 (/ (cbrt (- h0 (sin h0))) (- h0 (tan h0)))
 (/ (sqrt (- h0 (sin h0))) (* (cbrt (- h0 (tan h0))) (cbrt (- h0 (tan h0)))))
 (/ (sqrt (- h0 (sin h0))) (cbrt (- h0 (tan h0))))
 (/ (sqrt (- h0 (sin h0))) (sqrt (- h0 (tan h0))))
 (/ (sqrt (- h0 (sin h0))) (sqrt (- h0 (tan h0))))
 (/ (sqrt (- h0 (sin h0))) 1)
 (/ (sqrt (- h0 (sin h0))) (- h0 (tan h0)))
 (/ (sqrt (- h0 (sin h0))) (+ (sqrt h0) (sqrt (tan h0))))
 (/ (sqrt (- h0 (sin h0))) (- (sqrt h0) (sqrt (tan h0))))
 (/ (sqrt (- h0 (sin h0))) 1)
 (/ (sqrt (- h0 (sin h0))) (- h0 (tan h0)))
 (/ 1 (* (cbrt (- h0 (tan h0))) (cbrt (- h0 (tan h0)))))
 (/ (- h0 (sin h0)) (cbrt (- h0 (tan h0))))
 (/ 1 (sqrt (- h0 (tan h0))))
 (/ (- h0 (sin h0)) (sqrt (- h0 (tan h0))))
 (/ 1 1)
 (/ (- h0 (sin h0)) (- h0 (tan h0)))
 (/ 1 (+ (sqrt h0) (sqrt (tan h0))))
 (/ (- h0 (sin h0)) (- (sqrt h0) (sqrt (tan h0))))
 (/ 1 1)
 (/ (- h0 (sin h0)) (- h0 (tan h0)))
 (/ (+ (sqrt h0) (sqrt (sin h0))) (* (cbrt (- h0 (tan h0))) (cbrt (- h0 (tan h0)))))
 (/ (- (sqrt h0) (sqrt (sin h0))) (cbrt (- h0 (tan h0))))
 (/ (+ (sqrt h0) (sqrt (sin h0))) (sqrt (- h0 (tan h0))))
 (/ (- (sqrt h0) (sqrt (sin h0))) (sqrt (- h0 (tan h0))))
 (/ (+ (sqrt h0) (sqrt (sin h0))) 1)
 (/ (- (sqrt h0) (sqrt (sin h0))) (- h0 (tan h0)))
 (/ (+ (sqrt h0) (sqrt (sin h0))) (+ (sqrt h0) (sqrt (tan h0))))
 (/ (- (sqrt h0) (sqrt (sin h0))) (- (sqrt h0) (sqrt (tan h0))))
 (/ (+ (sqrt h0) (sqrt (sin h0))) 1)
 (/ (- (sqrt h0) (sqrt (sin h0))) (- h0 (tan h0)))
 (/ 1 (* (cbrt (- h0 (tan h0))) (cbrt (- h0 (tan h0)))))
 (/ (- h0 (sin h0)) (cbrt (- h0 (tan h0))))
 (/ 1 (sqrt (- h0 (tan h0))))
 (/ (- h0 (sin h0)) (sqrt (- h0 (tan h0))))
 (/ 1 1)
 (/ (- h0 (sin h0)) (- h0 (tan h0)))
 (/ 1 (+ (sqrt h0) (sqrt (tan h0))))
 (/ (- h0 (sin h0)) (- (sqrt h0) (sqrt (tan h0))))
 (/ 1 1)
 (/ (- h0 (sin h0)) (- h0 (tan h0)))
 (/ 1 (- h0 (tan h0)))
 (/ (- h0 (tan h0)) (- h0 (sin h0)))
 (/ (- h0 (sin h0)) (* (cbrt (- h0 (tan h0))) (cbrt (- h0 (tan h0)))))
 (/ (- h0 (sin h0)) (sqrt (- h0 (tan h0))))
 (/ (- h0 (sin h0)) 1)
 (/ (- h0 (sin h0)) (+ (sqrt h0) (sqrt (tan h0))))
 (/ (- h0 (sin h0)) 1)
 (/ (- h0 (tan h0)) (cbrt (- h0 (sin h0))))
 (/ (- h0 (tan h0)) (sqrt (- h0 (sin h0))))
 (/ (- h0 (tan h0)) (- h0 (sin h0)))
 (/ (- h0 (tan h0)) (- (sqrt h0) (sqrt (sin h0))))
 (/ (- h0 (tan h0)) (- h0 (sin h0)))
 (/ (- h0 (sin h0)) (- (pow h0 3) (pow (tan h0) 3)))
 (/ (- h0 (sin h0)) (- (* h0 h0) (* (tan h0) (tan h0))))
 (* (- h0 (tan h0)) (+ (* h0 h0) (+ (* (sin h0) (sin h0)) (* h0 (sin h0)))))
 (* (- h0 (tan h0)) (+ h0 (sin h0)))
 (- (+ (* 1/5040 (pow h0 7)) (* 1/6 (pow h0 3))) (* 1/120 (pow h0 5)))
 (- h0 (sin h0))
 (- h0 (sin h0))
 (- (+ (* 17/315 (pow h0 7)) (+ (* 1/3 (pow h0 3)) (* 2/15 (pow h0 5)))))
 (- h0 (/ (sin h0) (cos h0)))
 (- h0 (/ (sin h0) (cos h0)))
 (- (* 9/40 (pow h0 2)) (+ (* 27/2800 (pow h0 4)) 1/2))
 (- (+ (/ (sin h0) (* h0 (cos h0))) (+ (/ (pow (sin h0) 2) (* (pow h0 2) (pow (cos h0) 2))) 1)) (+ (/ (sin h0) h0) (/ (pow (sin h0) 2) (* (pow h0 2) (cos h0)))))
 (- (+ (/ (sin h0) (* h0 (cos h0))) (+ (/ (pow (sin h0) 2) (* (pow h0 2) (pow (cos h0) 2))) 1)) (+ (/ (sin h0) h0) (/ (pow (sin h0) 2) (* (pow h0 2) (cos h0)))))