0.716 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.052 * * * [progress]: [2/2] Setting up program. 0.055 * [progress]: [Phase 2 of 3] Improving. 0.249 * [simplify]: Simplifying using # : (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.607 * * [simplify]: iteration 0 : 13 enodes (cost 9 ) 0.608 * * [simplify]: iteration 1 : 21 enodes (cost 9 ) 0.609 * * [simplify]: iteration 2 : 26 enodes (cost 9 ) 0.610 * * [simplify]: iteration 3 : 34 enodes (cost 9 ) 0.611 * * [simplify]: iteration 4 : 37 enodes (cost 9 ) 0.613 * * [simplify]: iteration 5 : 37 enodes (cost 9 ) 0.613 * [simplify]: Simplified to: (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.615 * * [progress]: iteration 1 / 4 0.615 * * * [progress]: picking best candidate 0.617 * * * * [pick]: Picked # 0.617 * * * [progress]: localizing error 0.650 * * * [progress]: generating rewritten candidates 0.650 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.657 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.662 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.668 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.674 * * * [progress]: generating series expansions 0.674 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.678 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.679 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.679 * [taylor]: Taking taylor expansion of (tan x) in x 0.680 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.680 * [taylor]: Taking taylor expansion of (sin x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (cos x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.681 * [taylor]: Taking taylor expansion of (tan x) in x 0.681 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.681 * [taylor]: Taking taylor expansion of (sin x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (cos x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.686 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.686 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.686 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.686 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.686 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.687 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.687 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.687 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.690 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.690 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.690 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.690 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.690 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.690 * [taylor]: Taking taylor expansion of -1 in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.690 * [taylor]: Taking taylor expansion of -1 in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.690 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.690 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.690 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.690 * [taylor]: Taking taylor expansion of -1 in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.690 * [taylor]: Taking taylor expansion of -1 in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.694 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.694 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.694 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.694 * [taylor]: Taking taylor expansion of (tan x) in x 0.694 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.694 * [taylor]: Taking taylor expansion of (sin x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (cos x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.694 * [taylor]: Taking taylor expansion of (tan x) in x 0.694 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.694 * [taylor]: Taking taylor expansion of (sin x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (cos x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.696 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.696 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.696 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.696 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.696 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.696 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.696 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.696 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.699 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.700 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.700 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.700 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.700 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.700 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.700 * [taylor]: Taking taylor expansion of -1 in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.700 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.700 * [taylor]: Taking taylor expansion of -1 in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.700 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.700 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.700 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.700 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.700 * [taylor]: Taking taylor expansion of -1 in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.700 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.700 * [taylor]: Taking taylor expansion of -1 in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.703 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.703 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 0.703 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.703 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.703 * [taylor]: Taking taylor expansion of 1.0 in x 0.703 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.703 * [taylor]: Taking taylor expansion of (tan x) in x 0.703 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.703 * [taylor]: Taking taylor expansion of (sin x) in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of (cos x) in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.704 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.704 * [taylor]: Taking taylor expansion of (tan x) in x 0.704 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.704 * [taylor]: Taking taylor expansion of (sin x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (cos x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of 1.0 in x 0.704 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.704 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.704 * [taylor]: Taking taylor expansion of 1.0 in x 0.704 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.704 * [taylor]: Taking taylor expansion of (tan x) in x 0.704 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.704 * [taylor]: Taking taylor expansion of (sin x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (cos x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.704 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.704 * [taylor]: Taking taylor expansion of (tan x) in x 0.704 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.705 * [taylor]: Taking taylor expansion of (sin x) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of (cos x) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of 1.0 in x 0.706 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 0.706 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.706 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.706 * [taylor]: Taking taylor expansion of 1.0 in x 0.706 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.706 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.706 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.706 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.707 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.707 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.707 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.707 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of 1.0 in x 0.708 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.708 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.708 * [taylor]: Taking taylor expansion of 1.0 in x 0.708 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.708 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.708 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.708 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.709 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.709 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.709 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.709 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of 1.0 in x 0.721 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 0.721 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.721 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.721 * [taylor]: Taking taylor expansion of 1.0 in x 0.721 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.721 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.722 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.722 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.722 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.722 * [taylor]: Taking taylor expansion of -1 in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.722 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.722 * [taylor]: Taking taylor expansion of -1 in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.722 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.722 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.722 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.722 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.722 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.722 * [taylor]: Taking taylor expansion of -1 in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.722 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.722 * [taylor]: Taking taylor expansion of -1 in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.723 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.723 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.723 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.723 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.723 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.723 * [taylor]: Taking taylor expansion of -1 in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.723 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.723 * [taylor]: Taking taylor expansion of -1 in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.724 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.724 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.724 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.724 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.724 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.724 * [taylor]: Taking taylor expansion of -1 in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.724 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.724 * [taylor]: Taking taylor expansion of -1 in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.736 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in (x) around 0 0.736 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.736 * [taylor]: Taking taylor expansion of (tan x) in x 0.736 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.736 * [taylor]: Taking taylor expansion of (sin x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (cos x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.736 * [taylor]: Taking taylor expansion of (tan x) in x 0.736 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.736 * [taylor]: Taking taylor expansion of (sin x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (cos x) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in (x) around 0 0.737 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.737 * [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 x in x 0.738 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.738 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) 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 x in x 0.738 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.741 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in (x) around 0 0.741 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.741 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) 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 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (cos (/ -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 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.742 * [taylor]: Taking taylor expansion of 1.0 in x 0.742 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.742 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.742 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.742 * [taylor]: Taking taylor expansion of (sin (/ -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 * [taylor]: Taking taylor expansion of x in 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 * [taylor]: Taking taylor expansion of x in x 0.745 * * * [progress]: simplifying candidates 0.747 * [simplify]: Simplifying using # : (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (- (log (- 1.0 (* (tan x) (tan x)))) (log (+ 1.0 (* (tan x) (tan x))))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (* (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))))) (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (* (* (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (neg (- 1.0 (* (tan x) (tan x)))) (neg (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) 1) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) 1) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 1) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- (sqrt 1.0) (tan x)) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) 1) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) 1) (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (sqrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (/ (- 1.0 (* (tan x) (tan x))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x))))) (* (+ 1.0 (* (tan x) (tan x))) (+ (* 1.0 1.0) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1.0 (* (tan x) (tan x)))))) (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (exp 1.0) (exp (* (tan x) (tan x)))) (log (- 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (cbrt (- 1.0 (* (tan x) (tan x)))) (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (+ (* 1.0 1.0) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1.0 (* (tan x) (tan x))))) (neg (* (tan x) (tan x))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)) (neg (* (tan x) (tan x))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (- 1.0 (+ (pow x 2) (* 2/3 (pow x 4)))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) 0.756 * * [simplify]: iteration 0 : 314 enodes (cost 909 ) 0.762 * * [simplify]: iteration 1 : 1157 enodes (cost 838 ) 0.787 * * [simplify]: iteration 2 : 5002 enodes (cost 824 ) 0.792 * [simplify]: Simplified to: 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (* (pow (cbrt (tan x)) 4) (cbrt (tan x))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (* (pow (cbrt (tan x)) 4) (cbrt (tan x))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (pow (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 3) (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (pow (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 3) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (neg (- 1.0 (* (tan x) (tan x)))) (neg (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (sqrt (- 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- (sqrt 1.0) (tan x)) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (+ (sqrt 1.0) (tan x)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))) (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (sqrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (/ (- 1.0 (* (tan x) (tan x))) (- (/ (* 1.0 1.0) 1) (/ (pow (tan x) 4) 1))) (* (+ (* (* (tan x) (tan x)) (+ (* (tan x) (tan x)) 1.0)) (* 1.0 1.0)) (+ 1.0 (* (tan x) (tan x)))) (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (log (- 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (cbrt (- 1.0 (* (tan x) (tan x)))) (pow (- 1.0 (* (tan x) (tan x))) 3) (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (+ (* (* (tan x) (tan x)) (+ (* (tan x) (tan x)) 1.0)) (* 1.0 1.0)) (neg (* (tan x) (tan x))) (- (/ (* 1.0 1.0) 1) (/ (pow (tan x) 4) 1)) (+ 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)) (neg (* (tan x) (tan x))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (- 1.0 (+ (pow x 2) (* 2/3 (pow x 4)))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) 0.793 * * * [progress]: adding candidates to table 0.948 * * [progress]: iteration 2 / 4 0.948 * * * [progress]: picking best candidate 0.984 * * * * [pick]: Picked # 0.984 * * * [progress]: localizing error 0.994 * * * [progress]: generating rewritten candidates 0.994 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.999 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.012 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.016 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.032 * * * [progress]: generating series expansions 1.032 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.032 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.032 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.032 * [taylor]: Taking taylor expansion of (tan x) in x 1.032 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.032 * [taylor]: Taking taylor expansion of (sin x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (cos x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.032 * [taylor]: Taking taylor expansion of (tan x) in x 1.032 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.032 * [taylor]: Taking taylor expansion of (sin x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (cos x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.034 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.034 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.034 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.034 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.034 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.034 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.035 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.035 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.037 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.037 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.037 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.037 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.037 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.038 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.038 * [taylor]: Taking taylor expansion of -1 in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.038 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.038 * [taylor]: Taking taylor expansion of -1 in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.038 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.038 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.038 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.038 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.038 * [taylor]: Taking taylor expansion of -1 in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.038 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.038 * [taylor]: Taking taylor expansion of -1 in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.041 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.041 * [approximate]: Taking taylor expansion of (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) in (x) around 0 1.041 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) in x 1.041 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.041 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.041 * [taylor]: Taking taylor expansion of 1.0 in x 1.041 * [taylor]: Taking taylor expansion of (tan x) in x 1.041 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.041 * [taylor]: Taking taylor expansion of (sin x) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (cos x) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.041 * [taylor]: Taking taylor expansion of (tan x) in x 1.041 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.041 * [taylor]: Taking taylor expansion of (sin x) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (cos x) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.042 * [taylor]: Taking taylor expansion of 1.0 in x 1.042 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) in x 1.042 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.042 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.042 * [taylor]: Taking taylor expansion of 1.0 in x 1.042 * [taylor]: Taking taylor expansion of (tan x) in x 1.042 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.042 * [taylor]: Taking taylor expansion of (sin x) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (cos x) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.042 * [taylor]: Taking taylor expansion of (tan x) in x 1.042 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.042 * [taylor]: Taking taylor expansion of (sin x) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (cos x) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.042 * [taylor]: Taking taylor expansion of 1.0 in x 1.045 * [approximate]: Taking taylor expansion of (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) in (x) around 0 1.045 * [taylor]: Taking taylor expansion of (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) in x 1.045 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 1.045 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.045 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.045 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.046 * [taylor]: Taking taylor expansion of 1.0 in x 1.046 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.046 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.046 * [taylor]: Taking taylor expansion of 1.0 in x 1.046 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.046 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.046 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) in x 1.046 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 1.046 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.046 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.046 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.046 * [taylor]: Taking taylor expansion of 1.0 in x 1.047 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.047 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.047 * [taylor]: Taking taylor expansion of 1.0 in x 1.047 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.047 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.047 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.052 * [approximate]: Taking taylor expansion of (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) in (x) around 0 1.052 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) in x 1.052 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.052 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.052 * [taylor]: Taking taylor expansion of 1.0 in x 1.052 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.052 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.052 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.052 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.052 * [taylor]: Taking taylor expansion of -1 in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.052 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.052 * [taylor]: Taking taylor expansion of -1 in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.053 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.053 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.053 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.053 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.053 * [taylor]: Taking taylor expansion of -1 in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.053 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.053 * [taylor]: Taking taylor expansion of -1 in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.053 * [taylor]: Taking taylor expansion of 1.0 in x 1.053 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) in x 1.053 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.053 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.053 * [taylor]: Taking taylor expansion of 1.0 in x 1.053 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.053 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.053 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.053 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.053 * [taylor]: Taking taylor expansion of -1 in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.053 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.053 * [taylor]: Taking taylor expansion of -1 in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.054 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.054 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.054 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.054 * [taylor]: Taking taylor expansion of -1 in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.054 * [taylor]: Taking taylor expansion of -1 in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.054 * [taylor]: Taking taylor expansion of 1.0 in x 1.059 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.059 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in (x) around 0 1.059 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.059 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.059 * [taylor]: Taking taylor expansion of 1.0 in x 1.059 * [taylor]: Taking taylor expansion of (tan x) in x 1.059 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.059 * [taylor]: Taking taylor expansion of (sin x) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (cos x) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.059 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.059 * [taylor]: Taking taylor expansion of 1.0 in x 1.060 * [taylor]: Taking taylor expansion of (tan x) in x 1.060 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.060 * [taylor]: Taking taylor expansion of (sin x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (cos x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.061 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in (x) around 0 1.061 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.061 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.061 * [taylor]: Taking taylor expansion of 1.0 in x 1.061 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.061 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.061 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.061 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.061 * [taylor]: Taking taylor expansion of 1.0 in x 1.061 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.061 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.061 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.063 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in (x) around 0 1.063 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.064 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.064 * [taylor]: Taking taylor expansion of 1.0 in x 1.064 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.064 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.064 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.064 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.064 * [taylor]: Taking taylor expansion of -1 in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.064 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.064 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.064 * [taylor]: Taking taylor expansion of -1 in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.064 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.064 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.064 * [taylor]: Taking taylor expansion of 1.0 in x 1.064 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.064 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.064 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.064 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.064 * [taylor]: Taking taylor expansion of -1 in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.064 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.064 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.064 * [taylor]: Taking taylor expansion of -1 in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.066 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.067 * [approximate]: Taking taylor expansion of (/ (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) (+ (pow (tan x) 2) 1.0)) in (x) around 0 1.067 * [taylor]: Taking taylor expansion of (/ (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) (+ (pow (tan x) 2) 1.0)) in x 1.067 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) in x 1.067 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.067 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of (tan x) in x 1.067 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.067 * [taylor]: Taking taylor expansion of (sin x) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (cos x) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.067 * [taylor]: Taking taylor expansion of (tan x) in x 1.067 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.067 * [taylor]: Taking taylor expansion of (sin x) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (cos x) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 1.067 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.067 * [taylor]: Taking taylor expansion of (tan x) in x 1.067 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.067 * [taylor]: Taking taylor expansion of (sin x) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (cos x) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of 1.0 in x 1.068 * [taylor]: Taking taylor expansion of (/ (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) (+ (pow (tan x) 2) 1.0)) in x 1.068 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) in x 1.068 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.068 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.068 * [taylor]: Taking taylor expansion of 1.0 in x 1.068 * [taylor]: Taking taylor expansion of (tan x) in x 1.068 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.068 * [taylor]: Taking taylor expansion of (sin x) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (cos x) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.068 * [taylor]: Taking taylor expansion of (tan x) in x 1.068 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.068 * [taylor]: Taking taylor expansion of (sin x) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (cos x) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.068 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 1.069 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.069 * [taylor]: Taking taylor expansion of (tan x) in x 1.069 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.069 * [taylor]: Taking taylor expansion of (sin x) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.069 * [taylor]: Taking taylor expansion of (cos x) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.069 * [taylor]: Taking taylor expansion of 1.0 in x 1.073 * [approximate]: Taking taylor expansion of (/ (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 1.073 * [taylor]: Taking taylor expansion of (/ (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 1.073 * [taylor]: Taking taylor expansion of (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) in x 1.073 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 1.073 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.073 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.073 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.073 * [taylor]: Taking taylor expansion of 1.0 in x 1.073 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.073 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.073 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.074 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.074 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 1.074 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.074 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.074 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.074 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [taylor]: Taking taylor expansion of (/ (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 1.075 * [taylor]: Taking taylor expansion of (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) in x 1.075 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 1.075 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.075 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.075 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.075 * [taylor]: Taking taylor expansion of 1.0 in x 1.076 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.076 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.076 * [taylor]: Taking taylor expansion of 1.0 in x 1.076 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.076 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.076 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 1.076 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.076 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.076 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.076 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of 1.0 in x 1.090 * [approximate]: Taking taylor expansion of (/ (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 1.090 * [taylor]: Taking taylor expansion of (/ (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 1.090 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) in x 1.090 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.090 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.091 * [taylor]: Taking taylor expansion of 1.0 in x 1.091 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.091 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.091 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.091 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.091 * [taylor]: Taking taylor expansion of -1 in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.091 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.091 * [taylor]: Taking taylor expansion of -1 in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.091 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.091 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.091 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.091 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.091 * [taylor]: Taking taylor expansion of -1 in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.091 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.091 * [taylor]: Taking taylor expansion of -1 in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.091 * [taylor]: Taking taylor expansion of 1.0 in x 1.091 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.091 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.091 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.091 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.091 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.091 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.091 * [taylor]: Taking taylor expansion of -1 in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.092 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.092 * [taylor]: Taking taylor expansion of -1 in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [taylor]: Taking taylor expansion of (/ (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 1.093 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) in x 1.093 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.093 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.093 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.093 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.093 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.093 * [taylor]: Taking taylor expansion of -1 in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.093 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.093 * [taylor]: Taking taylor expansion of -1 in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.093 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.093 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.093 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.093 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.093 * [taylor]: Taking taylor expansion of -1 in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.093 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.093 * [taylor]: Taking taylor expansion of -1 in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.094 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.094 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.094 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.094 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.094 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.094 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.094 * [taylor]: Taking taylor expansion of -1 in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.094 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.094 * [taylor]: Taking taylor expansion of -1 in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.111 * * * [progress]: simplifying candidates 1.112 * [simplify]: Simplifying using # : (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ (log (+ (sqrt 1.0) (tan x))) (log (- (sqrt 1.0) (tan x)))) (log (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (exp (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (* (* (* (+ (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x))) (+ (sqrt 1.0) (tan x))) (* (* (- (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x)))) (* (cbrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (cbrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))))) (cbrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (* (* (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (sqrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (sqrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (* (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (- (pow (sqrt 1.0) 3) (pow (tan x) 3))) (* (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (tan x) (tan x)) (* (sqrt 1.0) (tan x))))) (* (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x)))) (* (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))) (+ (sqrt 1.0) (tan x))) (* (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x))) (- (pow (sqrt 1.0) 3) (pow (tan x) 3))) (* (- (sqrt 1.0) (tan x)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (tan x) (tan x)) (* (sqrt 1.0) (tan x))))) (* (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x))) (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x)))) (* (- (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x))) (* (sqrt (+ (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x)))) (* (sqrt (+ (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x)))) (* (+ (sqrt 1.0) (tan x)) (sqrt 1.0)) (* (+ (sqrt 1.0) (tan x)) (neg (tan x))) (* (+ (sqrt 1.0) (tan x)) (sqrt 1.0)) (* (+ (sqrt 1.0) (tan x)) (neg (tan x))) (* (sqrt 1.0) (+ (sqrt 1.0) (tan x))) (* (neg (tan x)) (+ (sqrt 1.0) (tan x))) (* (sqrt 1.0) (+ (sqrt 1.0) (tan x))) (* (neg (tan x)) (+ (sqrt 1.0) (tan x))) (* (+ (sqrt 1.0) (tan x)) (* (cbrt (- (sqrt 1.0) (tan x))) (cbrt (- (sqrt 1.0) (tan x))))) (* (+ (sqrt 1.0) (tan x)) (sqrt (- (sqrt 1.0) (tan x)))) (* (+ (sqrt 1.0) (tan x)) 1) (* (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x)))) (* (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x)))) (* (+ (sqrt 1.0) (tan x)) 1) (* (cbrt (+ (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x))) (* (sqrt (+ (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x))) (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (* (+ (sqrt 1.0) (tan x)) (- (pow (sqrt 1.0) 3) (pow (tan x) 3))) (* (+ (sqrt 1.0) (tan x)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x)))) (* (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (- (sqrt 1.0) (tan x))) (* (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (exp (sqrt 1.0)) (exp (tan x))) (log (- (sqrt 1.0) (tan x))) (exp (- (sqrt 1.0) (tan x))) (* (cbrt (- (sqrt 1.0) (tan x))) (cbrt (- (sqrt 1.0) (tan x)))) (cbrt (- (sqrt 1.0) (tan x))) (* (* (- (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x))) (- (pow (sqrt 1.0) 3) (pow (tan x) 3)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))) (neg (tan x)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (sqrt 1.0)) (sqrt (tan x))) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt 1.0) (tan x)) (neg (tan x)) (- (+ (log (+ (sqrt 1.0) (tan x))) (log (- (sqrt 1.0) (tan x)))) (log (+ 1.0 (* (tan x) (tan x))))) (- (log (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (log (+ 1.0 (* (tan x) (tan x))))) (log (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (exp (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ (* (* (* (+ (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x))) (+ (sqrt 1.0) (tan x))) (* (* (- (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x)))) (* (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))))) (/ (* (* (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (* (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))))) (* (cbrt (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (* (* (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (neg (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (neg (+ 1.0 (* (tan x) (tan x)))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- (sqrt 1.0) (tan x)) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) 1) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) 1) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x))))) (* (+ 1.0 (* (tan x) (tan x))) (* (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))))) (* (+ 1.0 (* (tan x) (tan x))) (* (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))) (+ (sqrt 1.0) (tan x)))) (* (+ 1.0 (* (tan x) (tan x))) (* (- (sqrt 1.0) (tan x)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))))) (* (+ 1.0 (* (tan x) (tan x))) (* (- (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x)))) (* (+ 1.0 (* (tan x) (tan x))) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (tan x) (tan x)) (* (sqrt 1.0) (tan x))))) (* (+ 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x))) (* (+ 1.0 (* (tan x) (tan x))) (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (tan x) (tan x)) (* (sqrt 1.0) (tan x))))) (* (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (pow (sqrt 1.0) 2) (+ (pow x 2) (* 2/3 (pow x 4)))) (* (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x)))) (* (+ (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x)))) (- (sqrt 1.0) (+ (* 1/3 (pow x 3)) x)) (- (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x))) (- (+ (* 0.33333333333333337 (pow x 4)) (+ (* 0.33333333333333337 (* (pow x 4) (pow (sqrt 1.0) 2))) (* 1.0 (pow (sqrt 1.0) 2)))) (+ (* 1.0 (* (pow x 2) (pow (sqrt 1.0) 2))) (* 1.0 (pow x 2)))) (/ (* (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (* (+ (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) 1.119 * * [simplify]: iteration 0 : 520 enodes (cost 1144 ) 1.129 * * [simplify]: iteration 1 : 2857 enodes (cost 962 ) 1.181 * * [simplify]: iteration 2 : 5002 enodes (cost 947 ) 1.186 * [simplify]: Simplified to: 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) (- 1.0 (* (tan x) (tan x))) (log (- 1.0 (* (tan x) (tan x)))) (log (- 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (pow (- 1.0 (* (tan x) (tan x))) 3) (* (cbrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (cbrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))))) (cbrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (pow (- 1.0 (* (tan x) (tan x))) 3) (sqrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (sqrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (* (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (- (pow (sqrt 1.0) 3) (pow (tan x) 3))) (* (+ (* (tan x) (+ (tan x) (sqrt 1.0))) 1.0) (+ (* (tan x) (- (tan x) (sqrt 1.0))) 1.0)) (* (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (- 1.0 (* (tan x) (tan x)))) (* (+ (sqrt 1.0) (tan x)) (+ (* (tan x) (- (tan x) (sqrt 1.0))) 1.0)) (* (- 1.0 (* (tan x) (tan x))) (- (pow (sqrt 1.0) 3) (pow (tan x) 3))) (* (+ (* (tan x) (+ (tan x) (sqrt 1.0))) 1.0) (- (sqrt 1.0) (tan x))) (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x))) (* (sqrt (+ (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x)))) (* (sqrt (+ (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x)))) (+ 1.0 (* (sqrt 1.0) (tan x))) (* (neg (tan x)) (+ (sqrt 1.0) (tan x))) (+ 1.0 (* (sqrt 1.0) (tan x))) (* (neg (tan x)) (+ (sqrt 1.0) (tan x))) (+ 1.0 (* (sqrt 1.0) (tan x))) (* (neg (tan x)) (+ (sqrt 1.0) (tan x))) (+ 1.0 (* (sqrt 1.0) (tan x))) (* (neg (tan x)) (+ (sqrt 1.0) (tan x))) (* (+ (sqrt 1.0) (tan x)) (* (cbrt (- (sqrt 1.0) (tan x))) (cbrt (- (sqrt 1.0) (tan x))))) (* (+ (sqrt 1.0) (tan x)) (sqrt (- (sqrt 1.0) (tan x)))) (+ (sqrt 1.0) (tan x)) (* (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x)))) (* (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x)))) (+ (sqrt 1.0) (tan x)) (* (cbrt (+ (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x))) (* (sqrt (+ (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (+ (sqrt 1.0) (tan x)) (- (pow (sqrt 1.0) 3) (pow (tan x) 3))) (* (- 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x))) (* (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (- (sqrt 1.0) (tan x))) (* (- (sqrt 1.0) (tan x)) (- 1.0 (* (tan x) (tan x)))) (exp (- (sqrt 1.0) (tan x))) (log (- (sqrt 1.0) (tan x))) (exp (- (sqrt 1.0) (tan x))) (* (cbrt (- (sqrt 1.0) (tan x))) (cbrt (- (sqrt 1.0) (tan x)))) (cbrt (- (sqrt 1.0) (tan x))) (pow (- (sqrt 1.0) (tan x)) 3) (sqrt (- (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x))) (- (pow (sqrt 1.0) 3) (pow (tan x) 3)) (+ (* (tan x) (+ (tan x) (sqrt 1.0))) 1.0) (neg (tan x)) (- 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (sqrt 1.0)) (sqrt (tan x))) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt 1.0) (tan x)) (neg (tan x)) (- (log (- 1.0 (* (tan x) (tan x)))) (log (+ 1.0 (* (tan x) (tan x))))) (- (log (- 1.0 (* (tan x) (tan x)))) (log (+ 1.0 (* (tan x) (tan x))))) (- (log (- 1.0 (* (tan x) (tan x)))) (log (+ 1.0 (* (tan x) (tan x))))) (exp (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ 1 (pow (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) 3)) (/ 1 (pow (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) 3)) (* (cbrt (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ 1 (pow (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) 3)) (sqrt (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (neg (- 1.0 (* (tan x) (tan x)))) (neg (+ 1.0 (* (tan x) (tan x)))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- (sqrt 1.0) (tan x)) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (+ (sqrt 1.0) (tan x)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (* (/ 1 (- (* 1.0 1.0) (pow (tan x) 4))) (- 1.0 (* (tan x) (tan x)))) (* (* (+ (* (tan x) (+ (tan x) (sqrt 1.0))) 1.0) (+ (* (tan x) (- (tan x) (sqrt 1.0))) 1.0)) (+ 1.0 (* (tan x) (tan x)))) (* (* (+ (sqrt 1.0) (tan x)) (+ (* (tan x) (- (tan x) (sqrt 1.0))) 1.0)) (+ 1.0 (* (tan x) (tan x)))) (* (* (+ (* (tan x) (+ (tan x) (sqrt 1.0))) 1.0) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (- (* 1.0 1.0) (pow (tan x) 4)) (* (+ (* (tan x) (+ (tan x) (sqrt 1.0))) 1.0) (+ 1.0 (* (tan x) (tan x)))) (* (+ 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x))) (* (+ (* (tan x) (- (tan x) (sqrt 1.0))) 1.0) (+ 1.0 (* (tan x) (tan x)))) (* (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (- 1.0 (pow x 2)) (* 2/3 (pow x 4))) (* (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x)))) (* (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x)))) (- (sqrt 1.0) (+ (* 1/3 (pow x 3)) x)) (- (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (* 0.33333333333333337 (+ (pow x 4) (* 1.0 (pow x 4)))) (- (* 1.0 1.0) (* (+ 1.0 1) (* 1.0 (pow x 2))))) (/ (* (+ (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (* (+ (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) 1.187 * * * [progress]: adding candidates to table 1.351 * * [progress]: iteration 3 / 4 1.351 * * * [progress]: picking best candidate 1.384 * * * * [pick]: Picked # 1.384 * * * [progress]: localizing error 1.396 * * * [progress]: generating rewritten candidates 1.396 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.398 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.401 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.406 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 1.413 * * * [progress]: generating series expansions 1.413 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.413 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.413 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.413 * [taylor]: Taking taylor expansion of (tan x) in x 1.413 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.413 * [taylor]: Taking taylor expansion of (sin x) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [taylor]: Taking taylor expansion of (cos x) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.413 * [taylor]: Taking taylor expansion of (tan x) in x 1.413 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.413 * [taylor]: Taking taylor expansion of (sin x) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [taylor]: Taking taylor expansion of (cos x) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.415 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.415 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.415 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.415 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.415 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.415 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.416 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.416 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.416 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.418 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.419 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.419 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.419 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.419 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.419 * [taylor]: Taking taylor expansion of -1 in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.419 * [taylor]: Taking taylor expansion of -1 in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.419 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.419 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.419 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.419 * [taylor]: Taking taylor expansion of -1 in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.419 * [taylor]: Taking taylor expansion of -1 in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.424 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.424 * [approximate]: Taking taylor expansion of (exp (pow (tan x) 2)) in (x) around 0 1.424 * [taylor]: Taking taylor expansion of (exp (pow (tan x) 2)) in x 1.424 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.424 * [taylor]: Taking taylor expansion of (tan x) in x 1.424 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.424 * [taylor]: Taking taylor expansion of (sin x) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.424 * [taylor]: Taking taylor expansion of (cos x) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of (exp (pow (tan x) 2)) in x 1.425 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.425 * [taylor]: Taking taylor expansion of (tan x) in x 1.425 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.425 * [taylor]: Taking taylor expansion of (sin x) in x 1.425 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of (cos x) in x 1.425 * [taylor]: Taking taylor expansion of x in x 1.427 * [approximate]: Taking taylor expansion of (exp (pow (tan (/ 1 x)) 2)) in (x) around 0 1.427 * [taylor]: Taking taylor expansion of (exp (pow (tan (/ 1 x)) 2)) in x 1.427 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.427 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.427 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.427 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.427 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.427 * [taylor]: Taking taylor expansion of (exp (pow (tan (/ 1 x)) 2)) in x 1.427 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.427 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.427 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.427 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.427 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.433 * [approximate]: Taking taylor expansion of (exp (pow (tan (/ -1 x)) 2)) in (x) around 0 1.433 * [taylor]: Taking taylor expansion of (exp (pow (tan (/ -1 x)) 2)) in x 1.433 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.433 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.433 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.433 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.434 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.434 * [taylor]: Taking taylor expansion of -1 in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.434 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.434 * [taylor]: Taking taylor expansion of -1 in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of (exp (pow (tan (/ -1 x)) 2)) in x 1.434 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.434 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.434 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.434 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.434 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.434 * [taylor]: Taking taylor expansion of -1 in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.434 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.434 * [taylor]: Taking taylor expansion of -1 in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.440 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.440 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.440 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.440 * [taylor]: Taking taylor expansion of (tan x) in x 1.440 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.440 * [taylor]: Taking taylor expansion of (sin x) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (cos x) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.440 * [taylor]: Taking taylor expansion of (tan x) in x 1.440 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.440 * [taylor]: Taking taylor expansion of (sin x) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (cos x) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.442 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.442 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.442 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.442 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.442 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.442 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.442 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.442 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.442 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.442 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.443 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.445 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.445 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.445 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.445 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.445 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.445 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.445 * [taylor]: Taking taylor expansion of -1 in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.446 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.446 * [taylor]: Taking taylor expansion of -1 in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.446 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.446 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.446 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.446 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.446 * [taylor]: Taking taylor expansion of -1 in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.446 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.446 * [taylor]: Taking taylor expansion of -1 in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.449 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 1.449 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.449 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.449 * [taylor]: Taking taylor expansion of (tan x) in x 1.449 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.449 * [taylor]: Taking taylor expansion of (sin x) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of (cos x) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.449 * [taylor]: Taking taylor expansion of (tan x) in x 1.449 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.449 * [taylor]: Taking taylor expansion of (sin x) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of (cos x) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.451 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.451 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.451 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.451 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.451 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.451 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.451 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.451 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.454 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.454 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.454 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.454 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.454 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.455 * [taylor]: Taking taylor expansion of -1 in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.455 * [taylor]: Taking taylor expansion of -1 in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.455 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.455 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.455 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.455 * [taylor]: Taking taylor expansion of -1 in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.455 * [taylor]: Taking taylor expansion of -1 in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.458 * * * [progress]: simplifying candidates 1.459 * [simplify]: Simplifying using # : (log (* (cbrt (exp (* (tan x) (tan x)))) (cbrt (exp (* (tan x) (tan x)))))) (log (cbrt (exp (* (tan x) (tan x))))) (log (sqrt (exp (* (tan x) (tan x))))) (log (sqrt (exp (* (tan x) (tan x))))) (log 1) (log (exp (* (tan x) (tan x)))) (log (exp (tan x))) (log (exp (* (tan x) (tan x)))) (log (exp (tan x))) (log (log (exp (* (tan x) (tan x))))) (exp (log (exp (* (tan x) (tan x))))) (* (cbrt (log (exp (* (tan x) (tan x))))) (cbrt (log (exp (* (tan x) (tan x)))))) (cbrt (log (exp (* (tan x) (tan x))))) (* (* (log (exp (* (tan x) (tan x)))) (log (exp (* (tan x) (tan x))))) (log (exp (* (tan x) (tan x))))) (sqrt (log (exp (* (tan x) (tan x))))) (sqrt (log (exp (* (tan x) (tan x))))) (exp (tan x)) (log (exp (* (tan x) (tan x)))) (exp (exp (* (tan x) (tan x)))) (* (cbrt (exp (* (tan x) (tan x)))) (cbrt (exp (* (tan x) (tan x))))) (cbrt (exp (* (tan x) (tan x)))) (* (* (exp (* (tan x) (tan x))) (exp (* (tan x) (tan x)))) (exp (* (tan x) (tan x)))) (sqrt (exp (* (tan x) (tan x)))) (sqrt (exp (* (tan x) (tan x)))) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 7/6 (pow x 4)) 1)) (exp (/ (pow (sin x) 2) (pow (cos x) 2))) (exp (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) 1.463 * * [simplify]: iteration 0 : 132 enodes (cost 407 ) 1.465 * * [simplify]: iteration 1 : 406 enodes (cost 344 ) 1.474 * * [simplify]: iteration 2 : 1778 enodes (cost 324 ) 1.519 * * [simplify]: iteration 3 : 5002 enodes (cost 318 ) 1.522 * [simplify]: Simplified to: (* 2 (log (cbrt (exp (* (tan x) (tan x)))))) (log (cbrt (exp (* (tan x) (tan x))))) (log (sqrt (exp (* (tan x) (tan x))))) (log (sqrt (exp (* (tan x) (tan x))))) 0 (* (tan x) (tan x)) (tan x) (* (tan x) (tan x)) (tan x) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (exp (tan x)) (* (tan x) (tan x)) (exp (exp (* (tan x) (tan x)))) (* (cbrt (exp (* (tan x) (tan x)))) (cbrt (exp (* (tan x) (tan x))))) (cbrt (exp (* (tan x) (tan x)))) (pow (exp (* (tan x) (tan x))) 3) (sqrt (exp (* (tan x) (tan x)))) (sqrt (exp (* (tan x) (tan x)))) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (pow (cbrt (tan x)) 5) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (pow (cbrt (tan x)) 5) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 7/6 (pow x 4)) 1)) (exp (/ (pow (sin x) 2) (pow (cos x) 2))) (exp (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) 1.522 * * * [progress]: adding candidates to table 1.600 * * [progress]: iteration 4 / 4 1.600 * * * [progress]: picking best candidate 1.633 * * * * [pick]: Picked # 1.633 * * * [progress]: localizing error 1.646 * * * [progress]: generating rewritten candidates 1.646 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.648 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.650 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.653 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.656 * * * [progress]: generating series expansions 1.656 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.656 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 1.656 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.656 * [taylor]: Taking taylor expansion of (cos x) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.657 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.657 * [taylor]: Taking taylor expansion of (cos x) in x 1.657 * [taylor]: Taking taylor expansion of x in x 1.657 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 1.657 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.658 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.658 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.658 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.659 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 1.659 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.659 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.659 * [taylor]: Taking taylor expansion of -1 in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.659 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.659 * [taylor]: Taking taylor expansion of -1 in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.660 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.660 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 1.660 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.660 * [taylor]: Taking taylor expansion of (cos x) in x 1.660 * [taylor]: Taking taylor expansion of x in x 1.660 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.660 * [taylor]: Taking taylor expansion of (cos x) in x 1.660 * [taylor]: Taking taylor expansion of x in x 1.661 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 1.661 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.661 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.661 * [taylor]: Taking taylor expansion of x in x 1.661 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.661 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.661 * [taylor]: Taking taylor expansion of x in x 1.662 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 1.662 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.662 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.662 * [taylor]: Taking taylor expansion of -1 in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.662 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.662 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.662 * [taylor]: Taking taylor expansion of -1 in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.663 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.663 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 1.663 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.663 * [taylor]: Taking taylor expansion of (sin x) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.663 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.663 * [taylor]: Taking taylor expansion of (sin x) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.664 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 1.664 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.664 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.664 * [taylor]: Taking taylor expansion of x in x 1.664 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.664 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.664 * [taylor]: Taking taylor expansion of x in x 1.665 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 1.665 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.665 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.665 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.665 * [taylor]: Taking taylor expansion of -1 in x 1.665 * [taylor]: Taking taylor expansion of x in x 1.665 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.666 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.666 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.666 * [taylor]: Taking taylor expansion of -1 in x 1.666 * [taylor]: Taking taylor expansion of x in x 1.666 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.666 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 1.666 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.667 * [taylor]: Taking taylor expansion of (sin x) in x 1.667 * [taylor]: Taking taylor expansion of x in x 1.667 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.667 * [taylor]: Taking taylor expansion of (sin x) in x 1.667 * [taylor]: Taking taylor expansion of x in x 1.668 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 1.668 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.668 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.668 * [taylor]: Taking taylor expansion of x in x 1.668 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.668 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.668 * [taylor]: Taking taylor expansion of x in x 1.669 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 1.669 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.669 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.669 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.669 * [taylor]: Taking taylor expansion of -1 in x 1.669 * [taylor]: Taking taylor expansion of x in x 1.669 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.669 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.669 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.669 * [taylor]: Taking taylor expansion of -1 in x 1.669 * [taylor]: Taking taylor expansion of x in x 1.670 * * * [progress]: simplifying candidates 1.671 * [simplify]: Simplifying using # : (* (log (cos x)) 2) (* (log (cos x)) 2) (* 1 2) (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (pow (cos x) 1) (pow (* (cbrt (cos x)) (cbrt (cos x))) 2) (pow (cbrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow 1 2) (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (* (* (pow (cos x) 2) (pow (cos x) 2)) (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (pow (cos x) (/ 2 2)) (pow (cos x) (/ 2 2)) (* (log (cos x)) 2) (* (log (cos x)) 2) (* 1 2) (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (pow (cos x) 1) (pow (* (cbrt (cos x)) (cbrt (cos x))) 2) (pow (cbrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow 1 2) (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (* (* (pow (cos x) 2) (pow (cos x) 2)) (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (pow (cos x) (/ 2 2)) (pow (cos x) (/ 2 2)) (* (log (sin x)) 2) (* (log (sin x)) 2) (* 1 2) (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (pow (sin x) 1) (pow (* (cbrt (sin x)) (cbrt (sin x))) 2) (pow (cbrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow 1 2) (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (* (* (pow (sin x) 2) (pow (sin x) 2)) (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (pow (sin x) (/ 2 2)) (pow (sin x) (/ 2 2)) (* (log (sin x)) 2) (* (log (sin x)) 2) (* 1 2) (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (pow (sin x) 1) (pow (* (cbrt (sin x)) (cbrt (sin x))) 2) (pow (cbrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow 1 2) (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (* (* (pow (sin x) 2) (pow (sin x) 2)) (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (pow (sin x) (/ 2 2)) (pow (sin x) (/ 2 2)) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) 1.674 * * [simplify]: iteration 0 : 141 enodes (cost 284 ) 1.677 * * [simplify]: iteration 1 : 469 enodes (cost 240 ) 1.686 * * [simplify]: iteration 2 : 1588 enodes (cost 240 ) 1.725 * * [simplify]: iteration 3 : 5001 enodes (cost 236 ) 1.728 * [simplify]: Simplified to: (log (pow (cos x) 2)) (log (pow (cos x) 2)) 2 (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (cos x) (pow (cbrt (cos x)) 4) (pow (cbrt (cos x)) 2) (cos x) (cos x) 1 (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (pow (cos x) 6) (fabs (cos x)) (fabs (cos x)) (cos x) (cos x) (log (pow (cos x) 2)) (log (pow (cos x) 2)) 2 (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (cos x) (pow (cbrt (cos x)) 4) (pow (cbrt (cos x)) 2) (cos x) (cos x) 1 (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (pow (cos x) 6) (fabs (cos x)) (fabs (cos x)) (cos x) (cos x) (log (pow (sin x) 2)) (log (pow (sin x) 2)) 2 (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (sin x) (pow (cbrt (sin x)) 4) (pow (cbrt (sin x)) 2) (sin x) (sin x) 1 (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (pow (sin x) 6) (fabs (sin x)) (fabs (sin x)) (sin x) (sin x) (log (pow (sin x) 2)) (log (pow (sin x) 2)) 2 (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (sin x) (pow (cbrt (sin x)) 4) (pow (cbrt (sin x)) 2) (sin x) (sin x) 1 (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (pow (sin x) 6) (fabs (sin x)) (fabs (sin x)) (sin x) (sin x) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) 1.728 * * * [progress]: adding candidates to table 1.851 * [progress]: [Phase 3 of 3] Extracting. 1.851 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 1.856 * * * [regime-changes]: Trying 4 branch expressions: ((tan x) (* (tan x) (tan x)) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) x) 1.857 * * * * [regimes]: Trying to branch on (tan x) from (# # # # # # # # # # # # #) 1.928 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # # # # # # # # # # # #) 1.996 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # # # #) 2.036 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) from (# # # # # # # # # # # # #) 2.100 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) from (# # #) 2.129 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 2.194 * * * [regime]: Found split indices: #