4.295 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.658 * * * [progress]: [2/2] Setting up program. 0.660 * [progress]: [Phase 2 of 3] Improving. 0.661 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.671 * * [simplify]: iteration 0 : 229 enodes (cost 7 ) 0.671 * * [simplify]: iteration 1 : 229 enodes (cost 7 ) 0.671 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.671 * * [progress]: iteration 1 / 4 0.671 * * * [progress]: picking best candidate 0.673 * * * * [pick]: Picked # 0.674 * * * [progress]: localizing error 0.681 * * * [progress]: generating rewritten candidates 0.681 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.684 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.691 * * * [progress]: generating series expansions 0.691 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.692 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.692 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.692 * [taylor]: Taking taylor expansion of 1.0 in x 0.692 * [taylor]: Taking taylor expansion of (cos x) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.692 * [taylor]: Taking taylor expansion of 1.0 in x 0.692 * [taylor]: Taking taylor expansion of (cos x) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.694 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.694 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.695 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.695 * [taylor]: Taking taylor expansion of -1 in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.695 * [taylor]: Taking taylor expansion of -1 in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.695 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.696 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.696 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.696 * [taylor]: Taking taylor expansion of 1.0 in x 0.696 * [taylor]: Taking taylor expansion of (cos x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (sin x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.696 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.696 * [taylor]: Taking taylor expansion of 1.0 in x 0.696 * [taylor]: Taking taylor expansion of (cos x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (sin x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.699 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.699 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.699 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.699 * [taylor]: Taking taylor expansion of 1.0 in x 0.699 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.699 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.699 * [taylor]: Taking taylor expansion of 1.0 in x 0.699 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.701 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.701 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.701 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.701 * [taylor]: Taking taylor expansion of 1.0 in x 0.701 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.701 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.701 * [taylor]: Taking taylor expansion of -1 in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.701 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.701 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.701 * [taylor]: Taking taylor expansion of -1 in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.702 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.702 * [taylor]: Taking taylor expansion of 1.0 in x 0.702 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.702 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.702 * [taylor]: Taking taylor expansion of -1 in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.702 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.702 * [taylor]: Taking taylor expansion of -1 in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.703 * * * [progress]: simplifying candidates 0.704 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (* (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (neg (- 1.0 (cos x))) (neg (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.737 * * [simplify]: iteration 0 : 5058 enodes (cost 605 ) 0.739 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (cos x) 1.0) (neg (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (* (cbrt (- 1.0 (cos x))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (* (cbrt (- 1.0 (cos x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (sin x)) (* (+ 1.0 (cos x)) (sin x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* x 1/2))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.740 * * * [progress]: adding candidates to table 0.830 * * [progress]: iteration 2 / 4 0.830 * * * [progress]: picking best candidate 0.872 * * * * [pick]: Picked # 0.872 * * * [progress]: localizing error 0.882 * * * [progress]: generating rewritten candidates 0.882 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.888 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.895 * * * [progress]: generating series expansions 0.895 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.895 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 3)) in (x) around 0 0.895 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.895 * [taylor]: Taking taylor expansion of 1/24 in x 0.895 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.895 * [taylor]: Taking taylor expansion of 1/24 in x 0.895 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.896 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 3)) in (x) around 0 0.896 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 0.896 * [taylor]: Taking taylor expansion of 1/24 in x 0.896 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 0.896 * [taylor]: Taking taylor expansion of 1/24 in x 0.896 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.897 * [approximate]: Taking taylor expansion of (/ -1/24 (pow x 3)) in (x) around 0 0.897 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 0.897 * [taylor]: Taking taylor expansion of -1/24 in x 0.897 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 0.897 * [taylor]: Taking taylor expansion of -1/24 in x 0.897 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.899 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.899 * [approximate]: Taking taylor expansion of (* 1/240 (pow x 5)) in (x) around 0 0.899 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.899 * [taylor]: Taking taylor expansion of 1/240 in x 0.899 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.899 * [taylor]: Taking taylor expansion of 1/240 in x 0.899 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.900 * [approximate]: Taking taylor expansion of (/ 1/240 (pow x 5)) in (x) around 0 0.900 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 0.900 * [taylor]: Taking taylor expansion of 1/240 in x 0.900 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 0.900 * [taylor]: Taking taylor expansion of 1/240 in x 0.900 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.901 * [approximate]: Taking taylor expansion of (/ -1/240 (pow x 5)) in (x) around 0 0.901 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 0.902 * [taylor]: Taking taylor expansion of -1/240 in x 0.902 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 0.902 * [taylor]: Taking taylor expansion of -1/240 in x 0.902 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.903 * * * [progress]: simplifying candidates 0.904 * [simplify]: Simplifying using # : (+ (log 1/24) (* (log x) 3)) (+ (log 1/24) (* (log x) 3)) (+ (log 1/24) (log (pow x 3))) (log (* 1/24 (pow x 3))) (exp (* 1/24 (pow x 3))) (* (* (* 1/24 1/24) 1/24) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* 1/24 (pow x 3))) (cbrt (* 1/24 (pow x 3)))) (cbrt (* 1/24 (pow x 3))) (* (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (pow x (/ 3 2))) (* (sqrt 1/24) (pow x (/ 3 2))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/24 (pow (sqrt x) 3)) (* 1/24 (pow 1 3)) (* 1/24 (* x x)) (* 1/24 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/24 (pow (sqrt x) 3)) (* 1/24 (pow 1 3)) (* 1/24 x) (* 1/24 (sqrt (pow x 3))) (* 1/24 1) (* 1/24 (pow x (/ 3 2))) (* (cbrt 1/24) (pow x 3)) (* (sqrt 1/24) (pow x 3)) (* 1/24 (pow x 3)) (+ (log 1/240) (* (log x) 5)) (+ (log 1/240) (* (log x) 5)) (+ (log 1/240) (log (pow x 5))) (log (* 1/240 (pow x 5))) (exp (* 1/240 (pow x 5))) (* (* (* 1/240 1/240) 1/240) (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (cbrt (* 1/240 (pow x 5))) (cbrt (* 1/240 (pow x 5)))) (cbrt (* 1/240 (pow x 5))) (* (* (* 1/240 (pow x 5)) (* 1/240 (pow x 5))) (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (pow x (/ 5 2))) (* (sqrt 1/240) (pow x (/ 5 2))) (* 1/240 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/240 (pow (sqrt x) 5)) (* 1/240 (pow 1 5)) (* 1/240 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/240 (sqrt (pow x 5))) (* 1/240 1) (* 1/240 (pow x (/ 5 2))) (* (cbrt 1/240) (pow x 5)) (* (sqrt 1/240) (pow x 5)) (* 1/240 (pow x 5)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) 0.937 * * [simplify]: iteration 0 : 5108 enodes (cost 391 ) 0.939 * [simplify]: Simplified to: (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (pow (exp 1/24) (pow x 3)) (* 1/13824 (pow x 9)) (* (cbrt (* 1/24 (pow x 3))) (cbrt (* 1/24 (pow x 3)))) (cbrt (* 1/24 (pow x 3))) (* 1/13824 (pow x 9)) (sqrt (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (* x (* (sqrt 1/24) (sqrt x))) (* x (* (sqrt 1/24) (sqrt x))) (* x (* (sqrt 1/24) (sqrt x))) (* x (* (sqrt 1/24) (sqrt x))) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (pow x 3/2)) (* (sqrt 1/24) (pow x 3/2)) (* 1/24 (* x x)) (* 1/24 (* x (sqrt x))) 1/24 (* 1/24 (* x x)) (* 1/24 (* x x)) (* 1/24 (* x x)) (* 1/24 (* x (sqrt x))) 1/24 (* 1/24 x) (* 1/24 (sqrt (pow x 3))) 1/24 (* 1/24 (pow x 3/2)) (* (pow x 3) (cbrt 1/24)) (* (pow x 3) (sqrt 1/24)) (* 1/24 (pow x 3)) (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (pow (exp 1/240) (pow x 5)) (* 1/13824000 (pow (pow x 5) 3)) (* (cbrt (* 1/240 (pow x 5))) (cbrt (* 1/240 (pow x 5)))) (cbrt (* 1/240 (pow x 5))) (* 1/13824000 (pow (pow x 5) 3)) (sqrt (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (pow x 5/2)) (* (sqrt 1/240) (pow x 5/2)) (* 1/240 (pow (pow (cbrt x) 2) 5)) (* 1/240 (pow (sqrt x) 5)) 1/240 (* 1/240 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/240 (sqrt (pow x 5))) 1/240 (* 1/240 (pow x 5/2)) (* (pow x 5) (cbrt 1/240)) (* (pow x 5) (sqrt 1/240)) (* 1/240 (pow x 5)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) 0.940 * * * [progress]: adding candidates to table 1.021 * * [progress]: iteration 3 / 4 1.021 * * * [progress]: picking best candidate 1.059 * * * * [pick]: Picked # 1.059 * * * [progress]: localizing error 1.067 * * * [progress]: generating rewritten candidates 1.067 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.071 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.081 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.087 * * * [progress]: generating series expansions 1.087 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.087 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.087 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.087 * [taylor]: Taking taylor expansion of 1.0 in x 1.087 * [taylor]: Taking taylor expansion of (cos x) in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.087 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.087 * [taylor]: Taking taylor expansion of 1.0 in x 1.087 * [taylor]: Taking taylor expansion of (cos x) in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.089 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.089 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.089 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.089 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.089 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.089 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.089 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.089 * [taylor]: Taking taylor expansion of -1 in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.089 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.089 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.089 * [taylor]: Taking taylor expansion of -1 in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.090 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.090 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.090 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.090 * [taylor]: Taking taylor expansion of 1.0 in x 1.090 * [taylor]: Taking taylor expansion of (cos x) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of (sin x) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.090 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.090 * [taylor]: Taking taylor expansion of 1.0 in x 1.090 * [taylor]: Taking taylor expansion of (cos x) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of (sin x) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.093 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.093 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.093 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.093 * [taylor]: Taking taylor expansion of 1.0 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 x in 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 x in x 1.093 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.093 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.093 * [taylor]: Taking taylor expansion of 1.0 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 x in 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 x in x 1.095 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.095 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.095 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.095 * [taylor]: Taking taylor expansion of 1.0 in x 1.095 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.095 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.095 * [taylor]: Taking taylor expansion of -1 in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.095 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.095 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.095 * [taylor]: Taking taylor expansion of -1 in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.096 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.096 * [taylor]: Taking taylor expansion of 1.0 in x 1.096 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.096 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.096 * [taylor]: Taking taylor expansion of -1 in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.096 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.096 * [taylor]: Taking taylor expansion of -1 in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.099 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.100 * [approximate]: Taking taylor expansion of (/ 1 (sin x)) in (x) around 0 1.100 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 1.100 * [taylor]: Taking taylor expansion of (sin x) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 1.100 * [taylor]: Taking taylor expansion of (sin x) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.101 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in (x) around 0 1.101 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 1.101 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 1.101 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.102 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in (x) around 0 1.102 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.102 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.102 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.102 * [taylor]: Taking taylor expansion of -1 in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.102 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.102 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.103 * [taylor]: Taking taylor expansion of -1 in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.104 * * * [progress]: simplifying candidates 1.105 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (* (- 1.0 (cos x)) (/ 1 (sin x))) (+ (log (- 1.0 (cos x))) (neg (log (sin x)))) (+ (log (- 1.0 (cos x))) (- 0 (log (sin x)))) (+ (log (- 1.0 (cos x))) (- (log 1) (log (sin x)))) (+ (log (- 1.0 (cos x))) (log (/ 1 (sin x)))) (log (* (- 1.0 (cos x)) (/ 1 (sin x)))) (exp (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (/ (* (* 1 1) 1) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (/ 1 (sin x)) (/ 1 (sin x))) (/ 1 (sin x)))) (* (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x))))) (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (* (* (- 1.0 (cos x)) (/ 1 (sin x))) (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (- 1.0 (cos x)) (/ 1 (sin x)))) (sqrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (sqrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (- (pow 1.0 3) (pow (cos x) 3)) 1) (* (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sin x)) (* (- (* 1.0 1.0) (* (cos x) (cos x))) 1) (* (+ 1.0 (cos x)) (sin x)) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (sin x)))) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (sin x)))) (* (sqrt (- 1.0 (cos x))) (/ (sqrt 1) (sqrt (sin x)))) (* (sqrt (- 1.0 (cos x))) (/ (sqrt 1) (sqrt (sin x)))) (* (sqrt (- 1.0 (cos x))) (/ 1 (sqrt (sin x)))) (* (sqrt (- 1.0 (cos x))) (/ 1 (sqrt (sin x)))) (* (- 1.0 (cos x)) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x))))) (* (- 1.0 (cos x)) (sqrt (/ 1 (sin x)))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin x)) (cbrt (sin x))))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin x)))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- 1.0 (cos x)) (/ (sqrt 1) (* (cbrt (sin x)) (cbrt (sin x))))) (* (- 1.0 (cos x)) (/ (sqrt 1) (sqrt (sin x)))) (* (- 1.0 (cos x)) (/ (sqrt 1) 1)) (* (- 1.0 (cos x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (- 1.0 (cos x)) (/ 1 (sqrt (sin x)))) (* (- 1.0 (cos x)) (/ 1 1)) (* (- 1.0 (cos x)) 1) (* (- 1.0 (cos x)) 1) (* (cbrt (- 1.0 (cos x))) (/ 1 (sin x))) (* (sqrt (- 1.0 (cos x))) (/ 1 (sin x))) (* (- 1.0 (cos x)) (/ 1 (sin x))) (* (- (sqrt 1.0) (sqrt (cos x))) (/ 1 (sin x))) (* (- 1.0 (cos x)) (/ 1 (sin x))) (* (- 1.0 (cos x)) 1) (* (- (pow 1.0 3) (pow (cos x) 3)) (/ 1 (sin x))) (* (- (* 1.0 1.0) (* (cos x) (cos x))) (/ 1 (sin x))) (neg 1) (neg (log (sin x))) (- 0 (log (sin x))) (- (log 1) (log (sin x))) (log (/ 1 (sin x))) (exp (/ 1 (sin x))) (/ (* (* 1 1) 1) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x)))) (cbrt (/ 1 (sin x))) (* (* (/ 1 (sin x)) (/ 1 (sin x))) (/ 1 (sin x))) (sqrt (/ 1 (sin x))) (sqrt (/ 1 (sin x))) (neg 1) (neg (sin x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt 1) (cbrt (sin x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin x))) (/ (cbrt 1) (sqrt (sin x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sin x)) (/ (sqrt 1) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt 1) (cbrt (sin x))) (/ (sqrt 1) (sqrt (sin x))) (/ (sqrt 1) (sqrt (sin x))) (/ (sqrt 1) 1) (/ (sqrt 1) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 1) (/ 1 (sin x)) (/ 1 (sin x)) (/ (sin x) 1) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) (/ 1 1) (/ (sin x) (cbrt 1)) (/ (sin x) (sqrt 1)) (/ (sin x) 1) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* 7/360 (pow x 3)) (+ (/ 1 x) (* 1/6 x))) (/ 1 (sin x)) (/ 1 (sin x)) 1.140 * * [simplify]: iteration 0 : 5161 enodes (cost 778 ) 1.143 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (/ (- 1.0 (cos x)) (sin x)) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (pow 1.0 3) (pow (cos x) 3)) (* (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (sin x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (* (+ 1.0 (cos x)) (sin x)) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (sin x)))) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (sin x)))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (* (- 1.0 (cos x)) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x))))) (* (- 1.0 (cos x)) (sqrt (/ 1 (sin x)))) (* (- 1.0 (cos x)) (* (cbrt 1) (/ (cbrt 1) (* (cbrt (sin x)) (cbrt (sin x)))))) (* (- 1.0 (cos x)) (* (cbrt 1) (/ (cbrt 1) (sqrt (sin x))))) (* (- 1.0 (cos x)) (* (cbrt 1) (cbrt 1))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- 1.0 (cos x)) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (- 1.0 (cos x)) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sin x)) (* (- 1.0 (cos x)) (/ (+ 1.0 (cos x)) (sin x))) -1 (neg (log (sin x))) (neg (log (sin x))) (neg (log (sin x))) (neg (log (sin x))) (exp (/ 1 (sin x))) (/ 1 (pow (sin x) 3)) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x)))) (cbrt (/ 1 (sin x))) (/ 1 (pow (sin x) 3)) (sqrt (/ 1 (sin x))) (sqrt (/ 1 (sin x))) -1 (neg (sin x)) (* (cbrt 1) (/ (cbrt 1) (* (cbrt (sin x)) (cbrt (sin x))))) (/ (cbrt 1) (cbrt (sin x))) (* (cbrt 1) (/ (cbrt 1) (sqrt (sin x)))) (/ (cbrt 1) (sqrt (sin x))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) 1 (/ 1 (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) 1 (/ 1 (sin x)) (/ 1 (sin x)) (sin x) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (/ (sin x) (cbrt 1)) (sin x) (sin x) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* x 1/2))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* (pow x 3) 7/360) (+ (/ 1 x) (* x 1/6))) (/ 1 (sin x)) (/ 1 (sin x)) 1.144 * * * [progress]: adding candidates to table 1.220 * * [progress]: iteration 4 / 4 1.220 * * * [progress]: picking best candidate 1.253 * * * * [pick]: Picked # 1.254 * * * [progress]: localizing error 1.266 * * * [progress]: generating rewritten candidates 1.266 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.270 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.276 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.283 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.292 * * * [progress]: generating series expansions 1.292 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.293 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.293 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.293 * [taylor]: Taking taylor expansion of 1.0 in x 1.293 * [taylor]: Taking taylor expansion of (cos x) in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.293 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.293 * [taylor]: Taking taylor expansion of 1.0 in x 1.293 * [taylor]: Taking taylor expansion of (cos x) in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.294 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.294 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.295 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.295 * [taylor]: Taking taylor expansion of 1.0 in x 1.295 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.295 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.295 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.295 * [taylor]: Taking taylor expansion of 1.0 in x 1.295 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.295 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.295 * [taylor]: Taking taylor expansion of -1 in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.295 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.295 * [taylor]: Taking taylor expansion of 1.0 in x 1.295 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.295 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.295 * [taylor]: Taking taylor expansion of -1 in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.296 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.296 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.296 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.296 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.296 * [taylor]: Taking taylor expansion of (cos x) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (sin x) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.296 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.296 * [taylor]: Taking taylor expansion of (cos x) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (sin x) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.299 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.299 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.299 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.299 * [taylor]: Taking taylor expansion of 1.0 in x 1.299 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.299 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.299 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.299 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.299 * [taylor]: Taking taylor expansion of 1.0 in x 1.299 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.299 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.301 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.301 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.301 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.301 * [taylor]: Taking taylor expansion of 1.0 in x 1.301 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.301 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.301 * [taylor]: Taking taylor expansion of -1 in x 1.301 * [taylor]: Taking taylor expansion of x in x 1.301 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.301 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.301 * [taylor]: Taking taylor expansion of -1 in x 1.301 * [taylor]: Taking taylor expansion of x in x 1.301 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.301 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.301 * [taylor]: Taking taylor expansion of 1.0 in x 1.301 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.301 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.301 * [taylor]: Taking taylor expansion of -1 in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.302 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.302 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.302 * [taylor]: Taking taylor expansion of -1 in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.303 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.303 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 1.303 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.303 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.303 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [taylor]: Taking taylor expansion of (cos x) in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.304 * [taylor]: Taking taylor expansion of (sin x) in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.304 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.304 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.304 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.304 * [taylor]: Taking taylor expansion of 1.0 in x 1.304 * [taylor]: Taking taylor expansion of (cos x) in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.304 * [taylor]: Taking taylor expansion of (sin x) in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.305 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 1.305 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.305 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.305 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.305 * [taylor]: Taking taylor expansion of 1.0 in x 1.305 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.305 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.305 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.305 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.305 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.305 * [taylor]: Taking taylor expansion of 1.0 in x 1.305 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.305 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.310 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 1.310 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.310 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.310 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.310 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.310 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.310 * [taylor]: Taking taylor expansion of -1 in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.310 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.310 * [taylor]: Taking taylor expansion of -1 in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.310 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.310 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.310 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.310 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.311 * [taylor]: Taking taylor expansion of -1 in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.311 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.311 * [taylor]: Taking taylor expansion of -1 in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.315 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.315 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.315 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.315 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.315 * [taylor]: Taking taylor expansion of 1.0 in x 1.315 * [taylor]: Taking taylor expansion of (cos x) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (sin x) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.315 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.315 * [taylor]: Taking taylor expansion of 1.0 in x 1.315 * [taylor]: Taking taylor expansion of (cos x) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (sin x) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.318 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.318 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.318 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.318 * [taylor]: Taking taylor expansion of 1.0 in x 1.318 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.318 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.318 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.318 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.318 * [taylor]: Taking taylor expansion of 1.0 in x 1.318 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.318 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.320 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.320 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.320 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.320 * [taylor]: Taking taylor expansion of 1.0 in x 1.320 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.320 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.320 * [taylor]: Taking taylor expansion of -1 in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.320 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.320 * [taylor]: Taking taylor expansion of -1 in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.321 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.321 * [taylor]: Taking taylor expansion of 1.0 in x 1.321 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.321 * [taylor]: Taking taylor expansion of -1 in x 1.321 * [taylor]: Taking taylor expansion of x in x 1.321 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.321 * [taylor]: Taking taylor expansion of -1 in x 1.321 * [taylor]: Taking taylor expansion of x in x 1.322 * * * [progress]: simplifying candidates 1.324 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (log (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))))) (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log 1) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (/ 1.0 (sin x)))) (log (exp (/ (cos x) (sin x)))) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))))) (log (exp (sqrt (/ (- 1.0 (cos x)) (sin x))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1))) (log (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))))) (log (exp (/ (sqrt (- 1.0 (cos x))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- 1.0 (cos x)))) (log (log (exp (/ (- 1.0 (cos x)) (sin x))))) (exp (log (exp (/ (- 1.0 (cos x)) (sin x))))) (* (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x)))))) (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (* (* (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (/ (- 1.0 (cos x)) (sin x))))) (log (exp (/ (- 1.0 (cos x)) (sin x))))) (sqrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (sqrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x))))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (/ (sqrt (- 1.0 (cos x))) 1)) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) (exp (/ 1 1)) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) (exp (/ 1 1)) (exp 1) (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (* (* (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (* (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (neg (- 1.0 (cos x))) (neg (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 1.363 * * [simplify]: iteration 0 : 5525 enodes (cost 1215 ) 1.368 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (* (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) 2) (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (* (cbrt (- 1.0 (cos x))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (cbrt (- 1.0 (cos x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 1 (- 1.0 (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (pow (exp (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (pow (exp (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x)))) (pow (exp (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x)))) (pow (exp (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (sqrt (- 1.0 (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (+ (sqrt 1.0) (sqrt (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E E (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (/ (- 1.0 (cos x)) (sin x)) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (pow (exp (/ (- 1.0 (cos x)) (sin x))) 3) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (cos x) 1.0) (neg (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (* (cbrt (- 1.0 (cos x))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (* (cbrt (- 1.0 (cos x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (sin x)) (* (+ 1.0 (cos x)) (sin x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* x 1/2))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ 1 (* x (+ 1/2 (* x 1/8)))) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* x 1/2))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 1.369 * * * [progress]: adding candidates to table 1.521 * [progress]: [Phase 3 of 3] Extracting. 1.522 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 1.523 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 1.524 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # # # # #) 1.613 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # #) 1.654 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # #) 1.746 * * * [regime]: Found split indices: #