11.737 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.066 * [progress]: [Phase 2 of 3] Improving. 0.066 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.067 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.067 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.069 * * [simplify]: iteration 2 : 21 enodes (cost 8 ) 0.071 * * [simplify]: iteration 3 : 26 enodes (cost 8 ) 0.075 * * [simplify]: iteration 4 : 29 enodes (cost 8 ) 0.078 * * [simplify]: iteration done : 29 enodes (cost 8 ) 0.078 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.078 * * [progress]: iteration 1 / 4 0.078 * * * [progress]: picking best candidate 0.080 * * * * [pick]: Picked # 0.080 * * * [progress]: localizing error 0.086 * * * [progress]: generating rewritten candidates 0.086 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.094 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.099 * * * [progress]: generating series expansions 0.099 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.099 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.099 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.099 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (cos x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (cos x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.102 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.102 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.104 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.104 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.104 * [taylor]: Taking taylor expansion of -1 in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.104 * [taylor]: Taking taylor expansion of -1 in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.105 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.105 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (cos x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.106 * [taylor]: Taking taylor expansion of 1.0 in x 0.106 * [taylor]: Taking taylor expansion of (cos x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.107 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.108 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.108 * [taylor]: Taking taylor expansion of -1 in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.108 * [taylor]: Taking taylor expansion of -1 in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * * * [progress]: simplifying candidates 0.109 * [simplify]: Simplifying using # : (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (neg (- 1.0 (cos x))) (neg (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (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)) (neg (cos x)) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.111 * * [simplify]: iteration 0 : 88 enodes (cost 507 ) 0.125 * * [simplify]: iteration 1 : 220 enodes (cost 497 ) 0.165 * * [simplify]: iteration 2 : 643 enodes (cost 441 ) 0.271 * * [simplify]: iteration 3 : 1723 enodes (cost 441 ) 0.752 * * [simplify]: iteration done : 5000 enodes (cost 440 ) 0.753 * [simplify]: Simplified to: (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (cos x) 1.0) (neg (* x x)) (/ (/ 1.0 x) x) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (* (* x x) (+ 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (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)) (neg (cos x)) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.753 * * * [progress]: adding candidates to table 0.827 * * [progress]: iteration 2 / 4 0.827 * * * [progress]: picking best candidate 0.859 * * * * [pick]: Picked # 0.859 * * * [progress]: localizing error 0.869 * * * [progress]: generating rewritten candidates 0.869 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.873 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 0.878 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.882 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.897 * * * [progress]: generating series expansions 0.897 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.898 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.898 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.898 * [taylor]: Taking taylor expansion of (cos x) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.898 * [taylor]: Taking taylor expansion of (cos x) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.899 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.900 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.900 * [taylor]: Taking taylor expansion of 1.0 in x 0.900 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.900 * [taylor]: Taking taylor expansion of 1.0 in x 0.900 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.900 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.900 * [taylor]: Taking taylor expansion of 1.0 in x 0.900 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.900 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.900 * [taylor]: Taking taylor expansion of -1 in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.900 * [taylor]: Taking taylor expansion of 1.0 in x 0.900 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.900 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.900 * [taylor]: Taking taylor expansion of -1 in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.901 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 0.901 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.901 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (cos x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (cos x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.903 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.903 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.903 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.903 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.903 * [taylor]: Taking taylor expansion of -1 in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.904 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.904 * [taylor]: Taking taylor expansion of -1 in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.904 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.904 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.904 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [taylor]: Taking taylor expansion of (cos x) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.904 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [taylor]: Taking taylor expansion of (cos x) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.906 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.906 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.906 * [taylor]: Taking taylor expansion of 1.0 in x 0.906 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.906 * [taylor]: Taking taylor expansion of 1.0 in x 0.906 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.906 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.906 * [taylor]: Taking taylor expansion of 1.0 in x 0.907 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.907 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.907 * [taylor]: Taking taylor expansion of -1 in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.907 * [taylor]: Taking taylor expansion of 1.0 in x 0.907 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.907 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.907 * [taylor]: Taking taylor expansion of -1 in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.907 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in (x) around 0 0.907 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 0.907 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 0.907 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 0.907 * [taylor]: Taking taylor expansion of 1/3 in x 0.907 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 0.907 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.907 * [taylor]: Taking taylor expansion of 1.0 in x 0.907 * [taylor]: Taking taylor expansion of (cos x) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 0.908 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 0.908 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 0.908 * [taylor]: Taking taylor expansion of 1/3 in x 0.908 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 0.908 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 0.908 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [taylor]: Taking taylor expansion of (cos x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.913 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in (x) around 0 0.913 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 0.913 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 0.913 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 0.913 * [taylor]: Taking taylor expansion of 1/3 in x 0.913 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 0.913 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 0.913 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 0.914 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 0.914 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 0.914 * [taylor]: Taking taylor expansion of 1/3 in x 0.914 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 0.914 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 0.914 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.914 * [taylor]: Taking taylor expansion of 1.0 in x 0.914 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.924 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in (x) around 0 0.924 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 0.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 0.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 0.924 * [taylor]: Taking taylor expansion of 1/3 in x 0.924 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 0.924 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.924 * [taylor]: Taking taylor expansion of 1.0 in x 0.924 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.924 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.924 * [taylor]: Taking taylor expansion of -1 in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 0.925 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 0.925 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 0.925 * [taylor]: Taking taylor expansion of 1/3 in x 0.925 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 0.925 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.925 * [taylor]: Taking taylor expansion of 1.0 in x 0.925 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.925 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.925 * [taylor]: Taking taylor expansion of -1 in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.935 * * * [progress]: simplifying candidates 0.937 * [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)) (neg (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (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)) (neg (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (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)) (neg (cos x)) (+ 1/3 1/3) (+ 1 1) (* (- 1.0 (cos x)) (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (+ 1 1) (+ (log (cbrt (- 1.0 (cos x)))) (log (cbrt (- 1.0 (cos x))))) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (- 1.0 (cos x)) (- 1.0 (cos x))) (* (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (* (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- (sqrt 1.0) (sqrt (cos x))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x)))))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* 1 1) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* 2 1/3) (* 2 1) (* (cbrt (- 1.0 (cos x))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (- 1.0 (cos x))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (- 1.0 (cos x))) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (- 1.0 (cos x))) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x)))))) (* (cbrt (- 1.0 (cos x))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (- 1.0 (cos x))) 1) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (* (sqrt (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- 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)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos 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)) (- (+ (exp (* 1/3 (+ (log 1/4) (* 4 (log x))))) (* 7/6480 (* (pow x 4) (exp (* 1/3 (+ (log 1/4) (* 4 (log x)))))))) (* 1/18 (* (pow x 2) (exp (* 1/3 (+ (log 1/4) (* 4 (log x)))))))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (pow (- 1.0 (cos x)) 2) 1/3) 0.941 * * [simplify]: iteration 0 : 119 enodes (cost 1410 ) 0.961 * * [simplify]: iteration 1 : 226 enodes (cost 1292 ) 0.998 * * [simplify]: iteration 2 : 626 enodes (cost 1212 ) 1.102 * * [simplify]: iteration 3 : 1685 enodes (cost 1117 ) 1.434 * * [simplify]: iteration 4 : 4774 enodes (cost 1090 ) 2.322 * * [simplify]: iteration done : 5000 enodes (cost 1090 ) 2.323 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (cbrt (pow (- 1.0 (cos x)) 2)) (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)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (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)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (cbrt (pow (- 1.0 (cos x)) 2)) (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)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (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)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (cbrt (pow (- 1.0 (cos x)) 2)) (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)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (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)) (neg (cos x)) 2/3 2 (pow (- 1.0 (cos x)) 2) (cbrt (pow (- 1.0 (cos x)) 2)) 2 (* 2 (log (cbrt (- 1.0 (cos x))))) (* 2 (log (cbrt (- 1.0 (cos x))))) (exp (cbrt (pow (- 1.0 (cos x)) 2))) (pow (- 1.0 (cos x)) 2) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (pow (- 1.0 (cos x)) 2) (fabs (cbrt (- 1.0 (cos x)))) (fabs (cbrt (- 1.0 (cos x)))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (cbrt (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1 (cbrt (pow (- 1.0 (cos x)) 2)) 1 (cbrt (pow (- 1.0 (cos x)) 2)) (* (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- (sqrt 1.0) (sqrt (cos x))))) 1 (cbrt (pow (- 1.0 (cos x)) 2)) 1 (cbrt (pow (- 1.0 (cos x)) 2)) (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 1 (cbrt (pow (- 1.0 (cos x)) 2)) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 2/3 2 (* (cbrt (- 1.0 (cos x))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (* (cbrt (- 1.0 (cos x))) (cbrt (sqrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (cbrt (- 1.0 (cos x))) (pow (cbrt (cbrt (- 1.0 (cos x)))) 5) (pow (sqrt (cbrt (- 1.0 (cos x)))) 3) (cbrt (- 1.0 (cos x))) (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (* (cbrt (- 1.0 (cos x))) (cbrt (sqrt (- 1.0 (cos x))))) (cbrt (pow (- 1.0 (cos x)) 2)) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- 1.0 (cos x)))) (cbrt (pow (- 1.0 (cos x)) 2)) (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (pow (sqrt (cbrt (- 1.0 (cos x)))) 3) (cbrt (pow (- 1.0 (cos x)) 2)) (* (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- 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)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos 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)) (* (cbrt (* (pow x 4) 1/4)) (- (+ (* 7/6480 (pow x 4)) 1) (* 1/18 (pow x 2)))) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)) 2.324 * * * [progress]: adding candidates to table 2.509 * * [progress]: iteration 3 / 4 2.509 * * * [progress]: picking best candidate 2.546 * * * * [pick]: Picked # 2.546 * * * [progress]: localizing error 2.565 * * * [progress]: generating rewritten candidates 2.565 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.570 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 1) 2.574 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.581 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 2.588 * * * [progress]: generating series expansions 2.588 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.588 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.588 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.588 * [taylor]: Taking taylor expansion of 1.0 in x 2.588 * [taylor]: Taking taylor expansion of (cos x) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.588 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.588 * [taylor]: Taking taylor expansion of 1.0 in x 2.588 * [taylor]: Taking taylor expansion of (cos x) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.590 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.590 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.590 * [taylor]: Taking taylor expansion of 1.0 in x 2.590 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.590 * [taylor]: Taking taylor expansion of x in x 2.590 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.590 * [taylor]: Taking taylor expansion of 1.0 in x 2.590 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.590 * [taylor]: Taking taylor expansion of x in x 2.590 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.590 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.590 * [taylor]: Taking taylor expansion of 1.0 in x 2.590 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.590 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.590 * [taylor]: Taking taylor expansion of -1 in x 2.590 * [taylor]: Taking taylor expansion of x in x 2.590 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.590 * [taylor]: Taking taylor expansion of 1.0 in x 2.591 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.591 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.591 * [taylor]: Taking taylor expansion of -1 in x 2.591 * [taylor]: Taking taylor expansion of x in x 2.591 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1 1) 2.591 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.591 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.591 * [taylor]: Taking taylor expansion of 1.0 in x 2.591 * [taylor]: Taking taylor expansion of (cos x) in x 2.591 * [taylor]: Taking taylor expansion of x in x 2.591 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.591 * [taylor]: Taking taylor expansion of 1.0 in x 2.591 * [taylor]: Taking taylor expansion of (cos x) in x 2.591 * [taylor]: Taking taylor expansion of x in x 2.593 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.593 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.593 * [taylor]: Taking taylor expansion of 1.0 in x 2.593 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.593 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.593 * [taylor]: Taking taylor expansion of 1.0 in x 2.593 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.593 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.593 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.593 * [taylor]: Taking taylor expansion of 1.0 in x 2.594 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.594 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.594 * [taylor]: Taking taylor expansion of -1 in x 2.594 * [taylor]: Taking taylor expansion of x in x 2.594 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.594 * [taylor]: Taking taylor expansion of 1.0 in x 2.594 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.594 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.594 * [taylor]: Taking taylor expansion of -1 in x 2.594 * [taylor]: Taking taylor expansion of x in x 2.594 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.594 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in (x) around 0 2.594 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 2.594 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 2.594 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 2.594 * [taylor]: Taking taylor expansion of 1/3 in x 2.594 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 2.594 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 2.594 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.594 * [taylor]: Taking taylor expansion of 1.0 in x 2.594 * [taylor]: Taking taylor expansion of (cos x) in x 2.594 * [taylor]: Taking taylor expansion of x in x 2.595 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 2.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 2.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 2.595 * [taylor]: Taking taylor expansion of 1/3 in x 2.595 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 2.595 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 2.595 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.595 * [taylor]: Taking taylor expansion of 1.0 in x 2.595 * [taylor]: Taking taylor expansion of (cos x) in x 2.595 * [taylor]: Taking taylor expansion of x in x 2.600 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in (x) around 0 2.600 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 2.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 2.600 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 2.600 * [taylor]: Taking taylor expansion of 1/3 in x 2.600 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 2.600 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 2.600 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.601 * [taylor]: Taking taylor expansion of 1.0 in x 2.601 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.601 * [taylor]: Taking taylor expansion of x in x 2.601 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 2.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 2.601 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 2.601 * [taylor]: Taking taylor expansion of 1/3 in x 2.601 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 2.601 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 2.601 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.601 * [taylor]: Taking taylor expansion of 1.0 in x 2.601 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.601 * [taylor]: Taking taylor expansion of x in x 2.611 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in (x) around 0 2.611 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 2.611 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 2.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 2.612 * [taylor]: Taking taylor expansion of 1/3 in x 2.612 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 2.612 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 2.612 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.612 * [taylor]: Taking taylor expansion of 1.0 in x 2.612 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.612 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.612 * [taylor]: Taking taylor expansion of -1 in x 2.612 * [taylor]: Taking taylor expansion of x in x 2.612 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 2.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 2.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 2.612 * [taylor]: Taking taylor expansion of 1/3 in x 2.612 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 2.612 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 2.612 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.612 * [taylor]: Taking taylor expansion of 1.0 in x 2.612 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.612 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.612 * [taylor]: Taking taylor expansion of -1 in x 2.612 * [taylor]: Taking taylor expansion of x in x 2.622 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 2.622 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in (x) around 0 2.622 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 2.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 2.622 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 2.622 * [taylor]: Taking taylor expansion of 1/3 in x 2.622 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 2.622 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 2.622 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.622 * [taylor]: Taking taylor expansion of 1.0 in x 2.622 * [taylor]: Taking taylor expansion of (cos x) in x 2.622 * [taylor]: Taking taylor expansion of x in x 2.623 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 2.623 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 2.623 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 2.623 * [taylor]: Taking taylor expansion of 1/3 in x 2.623 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 2.623 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 2.623 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.623 * [taylor]: Taking taylor expansion of 1.0 in x 2.623 * [taylor]: Taking taylor expansion of (cos x) in x 2.623 * [taylor]: Taking taylor expansion of x in x 2.628 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in (x) around 0 2.628 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 2.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 2.628 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 2.628 * [taylor]: Taking taylor expansion of 1/3 in x 2.628 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 2.628 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 2.628 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.628 * [taylor]: Taking taylor expansion of 1.0 in x 2.628 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.628 * [taylor]: Taking taylor expansion of x in x 2.629 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 2.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 2.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 2.629 * [taylor]: Taking taylor expansion of 1/3 in x 2.629 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 2.629 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 2.629 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.629 * [taylor]: Taking taylor expansion of 1.0 in x 2.629 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.629 * [taylor]: Taking taylor expansion of x in x 2.639 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in (x) around 0 2.639 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 2.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 2.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 2.639 * [taylor]: Taking taylor expansion of 1/3 in x 2.639 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 2.639 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 2.639 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.639 * [taylor]: Taking taylor expansion of 1.0 in x 2.639 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.639 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.639 * [taylor]: Taking taylor expansion of -1 in x 2.639 * [taylor]: Taking taylor expansion of x in x 2.639 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 2.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 2.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 2.639 * [taylor]: Taking taylor expansion of 1/3 in x 2.639 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 2.639 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 2.639 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.640 * [taylor]: Taking taylor expansion of 1.0 in x 2.640 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.640 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.640 * [taylor]: Taking taylor expansion of -1 in x 2.640 * [taylor]: Taking taylor expansion of x in x 2.650 * * * [progress]: simplifying candidates 2.651 * [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)) (neg (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (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)) (neg (cos x)) (log (* (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2)))) (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2)))))) (log (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (sqrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (sqrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log 1) (log (exp (cbrt (pow (- 1.0 (cos x)) 2)))) (log (exp (cbrt (pow (- 1.0 (cos x)) 2)))) (log (exp (cbrt (pow (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 2)))) (log (exp (cbrt (pow (sqrt (- 1.0 (cos x))) 2)))) (log (exp (cbrt (pow 1 2)))) (log (exp (cbrt (pow (+ (sqrt 1.0) (sqrt (cos x))) 2)))) (log (exp (cbrt (pow 1 2)))) (log (exp (cbrt (- 1.0 (cos x))))) (log (exp (cbrt (* (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)))))) (log (exp (cbrt (sqrt (pow (- 1.0 (cos x)) 2))))) (log (exp (cbrt 1))) (log (exp (cbrt (pow (- 1.0 (cos x)) (/ 2 2))))) (log (exp (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))))) (log (exp (sqrt (cbrt (pow (- 1.0 (cos x)) 2))))) (log (exp 1)) (log (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (exp (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (* (cbrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (cbrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2)))))) (cbrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (* (* (log (exp (cbrt (pow (- 1.0 (cos x)) 2)))) (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (sqrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (sqrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (cbrt (pow (- 1.0 (cos x)) 2))) (exp (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (pow (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 2)) (cbrt (pow (cbrt (- 1.0 (cos x))) 2)) (cbrt (pow (sqrt (- 1.0 (cos x))) 2)) (cbrt (pow (sqrt (- 1.0 (cos x))) 2)) (cbrt (pow 1 2)) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (+ (sqrt 1.0) (sqrt (cos x))) 2)) (cbrt (pow (- (sqrt 1.0) (sqrt (cos x))) 2)) (cbrt (pow 1 2)) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) (cbrt (* (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (sqrt (pow (- 1.0 (cos x)) 2))) (cbrt (sqrt (pow (- 1.0 (cos x)) 2))) (cbrt 1) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) (/ 2 2))) (cbrt (pow (- 1.0 (cos x)) (/ 2 2))) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (* (* (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (pow (- 1.0 (cos x)) 2))) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (exp (* 1/3 (+ (log 1/4) (* 4 (log x))))) (* 7/6480 (* (pow x 4) (exp (* 1/3 (+ (log 1/4) (* 4 (log x)))))))) (* 1/18 (* (pow x 2) (exp (* 1/3 (+ (log 1/4) (* 4 (log x)))))))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (pow (- 1.0 (cos x)) 2) 1/3) (- (+ (exp (* 1/3 (+ (log 1/4) (* 4 (log x))))) (* 7/6480 (* (pow x 4) (exp (* 1/3 (+ (log 1/4) (* 4 (log x)))))))) (* 1/18 (* (pow x 2) (exp (* 1/3 (+ (log 1/4) (* 4 (log x)))))))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (pow (- 1.0 (cos x)) 2) 1/3) 2.658 * * [simplify]: iteration 0 : 129 enodes (cost 932 ) 2.674 * * [simplify]: iteration 1 : 231 enodes (cost 827 ) 2.703 * * [simplify]: iteration 2 : 521 enodes (cost 720 ) 2.781 * * [simplify]: iteration 3 : 1222 enodes (cost 690 ) 3.072 * * [simplify]: iteration 4 : 4143 enodes (cost 686 ) 3.919 * * [simplify]: iteration done : 5000 enodes (cost 686 ) 3.920 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (cbrt (- 1.0 (cos x))) 2) (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)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (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)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (cbrt (- 1.0 (cos x))) 2) (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)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (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)) (neg (cos x)) (* 2 (log (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2)))))) (log (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (sqrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (sqrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) 0 (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (cbrt (- 1.0 (cos x))) 4)) (cbrt (- 1.0 (cos x))) 1 (cbrt (pow (+ (sqrt 1.0) (sqrt (cos x))) 2)) 1 (cbrt (- 1.0 (cos x))) (cbrt (pow (pow (- 1.0 (cos x)) 2) 2/3)) (cbrt (fabs (- 1.0 (cos x)))) 1 (cbrt (- 1.0 (cos x))) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) 1 (* 2/3 (log (- 1.0 (cos x)))) (exp (cbrt (pow (- 1.0 (cos x)) 2))) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (pow (- 1.0 (cos x)) 2) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) (* 2/3 (log (- 1.0 (cos x)))) (exp (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (pow (cbrt (- 1.0 (cos x))) 4)) (cbrt (pow (cbrt (- 1.0 (cos x))) 2)) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 1 (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (+ (sqrt 1.0) (sqrt (cos x))) 2)) (cbrt (pow (- (sqrt 1.0) (sqrt (cos x))) 2)) 1 (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) (cbrt (pow (pow (- 1.0 (cos x)) 2) 2/3)) (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (fabs (- 1.0 (cos x)))) (cbrt (fabs (- 1.0 (cos x)))) 1 (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (pow (- 1.0 (cos x)) 2) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (* (- (+ (* 7/6480 (pow x 4)) 1) (* 1/18 (pow x 2))) (* (pow x 4/3) (cbrt 1/4))) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)) (* (- (+ (* 7/6480 (pow x 4)) 1) (* 1/18 (pow x 2))) (* (pow x 4/3) (cbrt 1/4))) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)) 3.920 * * * [progress]: adding candidates to table 4.084 * * [progress]: iteration 4 / 4 4.084 * * * [progress]: picking best candidate 4.127 * * * * [pick]: Picked # 4.127 * * * [progress]: localizing error 4.147 * * * [progress]: generating rewritten candidates 4.147 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 4.153 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 4.157 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 1) 4.162 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 4.171 * * * [progress]: generating series expansions 4.171 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 4.171 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.171 * [taylor]: Taking taylor expansion of 1.0 in x 4.171 * [taylor]: Taking taylor expansion of (cos x) in x 4.171 * [taylor]: Taking taylor expansion of x in x 4.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.171 * [taylor]: Taking taylor expansion of 1.0 in x 4.171 * [taylor]: Taking taylor expansion of (cos x) in x 4.171 * [taylor]: Taking taylor expansion of x in x 4.173 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.173 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.173 * [taylor]: Taking taylor expansion of 1.0 in x 4.173 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.173 * [taylor]: Taking taylor expansion of x in x 4.173 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.173 * [taylor]: Taking taylor expansion of 1.0 in x 4.173 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.174 * [taylor]: Taking taylor expansion of x in x 4.174 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.174 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.174 * [taylor]: Taking taylor expansion of 1.0 in x 4.174 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.174 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.174 * [taylor]: Taking taylor expansion of -1 in x 4.174 * [taylor]: Taking taylor expansion of x in x 4.174 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.174 * [taylor]: Taking taylor expansion of 1.0 in x 4.174 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.174 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.174 * [taylor]: Taking taylor expansion of -1 in x 4.174 * [taylor]: Taking taylor expansion of x in x 4.175 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 4.175 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.175 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.175 * [taylor]: Taking taylor expansion of 1.0 in x 4.175 * [taylor]: Taking taylor expansion of (cos x) in x 4.175 * [taylor]: Taking taylor expansion of x in x 4.175 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.175 * [taylor]: Taking taylor expansion of 1.0 in x 4.175 * [taylor]: Taking taylor expansion of (cos x) in x 4.175 * [taylor]: Taking taylor expansion of x in x 4.176 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.177 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.177 * [taylor]: Taking taylor expansion of 1.0 in x 4.177 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.177 * [taylor]: Taking taylor expansion of x in x 4.177 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.177 * [taylor]: Taking taylor expansion of 1.0 in x 4.177 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.177 * [taylor]: Taking taylor expansion of x in x 4.177 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.177 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.177 * [taylor]: Taking taylor expansion of 1.0 in x 4.177 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.177 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.177 * [taylor]: Taking taylor expansion of -1 in x 4.177 * [taylor]: Taking taylor expansion of x in x 4.177 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.177 * [taylor]: Taking taylor expansion of 1.0 in x 4.177 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.177 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.177 * [taylor]: Taking taylor expansion of -1 in x 4.177 * [taylor]: Taking taylor expansion of x in x 4.178 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 1) 4.178 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.178 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.178 * [taylor]: Taking taylor expansion of 1.0 in x 4.178 * [taylor]: Taking taylor expansion of (cos x) in x 4.178 * [taylor]: Taking taylor expansion of x in x 4.178 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.178 * [taylor]: Taking taylor expansion of 1.0 in x 4.178 * [taylor]: Taking taylor expansion of (cos x) in x 4.178 * [taylor]: Taking taylor expansion of x in x 4.180 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.180 * [taylor]: Taking taylor expansion of 1.0 in x 4.180 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.180 * [taylor]: Taking taylor expansion of x in x 4.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.180 * [taylor]: Taking taylor expansion of 1.0 in x 4.180 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.180 * [taylor]: Taking taylor expansion of x in x 4.180 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.180 * [taylor]: Taking taylor expansion of 1.0 in x 4.180 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.180 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.180 * [taylor]: Taking taylor expansion of -1 in x 4.180 * [taylor]: Taking taylor expansion of x in x 4.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.180 * [taylor]: Taking taylor expansion of 1.0 in x 4.180 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.181 * [taylor]: Taking taylor expansion of -1 in x 4.181 * [taylor]: Taking taylor expansion of x in x 4.181 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 4.181 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in (x) around 0 4.181 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 4.181 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 4.181 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 4.181 * [taylor]: Taking taylor expansion of 1/3 in x 4.181 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 4.181 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 4.181 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.181 * [taylor]: Taking taylor expansion of 1.0 in x 4.181 * [taylor]: Taking taylor expansion of (cos x) in x 4.181 * [taylor]: Taking taylor expansion of x in x 4.182 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 4.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 4.182 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 4.182 * [taylor]: Taking taylor expansion of 1/3 in x 4.182 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 4.182 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 4.182 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.182 * [taylor]: Taking taylor expansion of 1.0 in x 4.182 * [taylor]: Taking taylor expansion of (cos x) in x 4.182 * [taylor]: Taking taylor expansion of x in x 4.187 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in (x) around 0 4.187 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 4.187 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 4.187 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 4.187 * [taylor]: Taking taylor expansion of 1/3 in x 4.187 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 4.187 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 4.187 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.187 * [taylor]: Taking taylor expansion of 1.0 in x 4.187 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.187 * [taylor]: Taking taylor expansion of x in x 4.187 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 4.188 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 4.188 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 4.188 * [taylor]: Taking taylor expansion of 1/3 in x 4.188 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 4.188 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 4.188 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.188 * [taylor]: Taking taylor expansion of 1.0 in x 4.188 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.188 * [taylor]: Taking taylor expansion of x in x 4.197 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in (x) around 0 4.198 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 4.198 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 4.198 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 4.198 * [taylor]: Taking taylor expansion of 1/3 in x 4.198 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 4.198 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 4.198 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.198 * [taylor]: Taking taylor expansion of 1.0 in x 4.198 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.198 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.198 * [taylor]: Taking taylor expansion of -1 in x 4.198 * [taylor]: Taking taylor expansion of x in x 4.198 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 4.198 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 4.198 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 4.198 * [taylor]: Taking taylor expansion of 1/3 in x 4.198 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 4.198 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 4.198 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.198 * [taylor]: Taking taylor expansion of 1.0 in x 4.198 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.198 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.198 * [taylor]: Taking taylor expansion of -1 in x 4.198 * [taylor]: Taking taylor expansion of x in x 4.208 * * * [progress]: simplifying candidates 4.209 * [simplify]: Simplifying using # : (log (exp 1.0)) (log (exp (neg (cos x)))) (log (exp 1.0)) (log (exp (neg (cos x)))) (log (* (cbrt (exp (- 1.0 (cos x)))) (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (log (exp (- 1.0 (cos x)))) (log (exp 1.0)) (log (exp (cos x))) (log (exp (- 1.0 (cos x)))) (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (log (exp (sqrt (- 1.0 (cos x))))) (log (exp 1)) (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (log (exp 1)) (log (log (exp (- 1.0 (cos x))))) (exp (log (exp (- 1.0 (cos x))))) (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt (log (exp (- 1.0 (cos x))))) (* (* (log (exp (- 1.0 (cos x)))) (log (exp (- 1.0 (cos x))))) (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (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)) (neg (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (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)) (neg (cos x)) (log (* (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2)))) (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2)))))) (log (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (sqrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (sqrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log 1) (log (exp (cbrt (pow (- 1.0 (cos x)) 2)))) (log (exp (cbrt (pow (- 1.0 (cos x)) 2)))) (log (exp (cbrt (pow (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 2)))) (log (exp (cbrt (pow (sqrt (- 1.0 (cos x))) 2)))) (log (exp (cbrt (pow 1 2)))) (log (exp (cbrt (pow (+ (sqrt 1.0) (sqrt (cos x))) 2)))) (log (exp (cbrt (pow 1 2)))) (log (exp (cbrt (- 1.0 (cos x))))) (log (exp (cbrt (* (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)))))) (log (exp (cbrt (sqrt (pow (- 1.0 (cos x)) 2))))) (log (exp (cbrt 1))) (log (exp (cbrt (pow (- 1.0 (cos x)) (/ 2 2))))) (log (exp (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))))) (log (exp (sqrt (cbrt (pow (- 1.0 (cos x)) 2))))) (log (exp 1)) (log (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (exp (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (* (cbrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (cbrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2)))))) (cbrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (* (* (log (exp (cbrt (pow (- 1.0 (cos x)) 2)))) (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (sqrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (sqrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (exp (* 1/3 (+ (log 1/4) (* 4 (log x))))) (* 7/6480 (* (pow x 4) (exp (* 1/3 (+ (log 1/4) (* 4 (log x)))))))) (* 1/18 (* (pow x 2) (exp (* 1/3 (+ (log 1/4) (* 4 (log x)))))))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (pow (- 1.0 (cos x)) 2) 1/3) 4.213 * * [simplify]: iteration 0 : 147 enodes (cost 838 ) 4.236 * * [simplify]: iteration 1 : 257 enodes (cost 712 ) 4.265 * * [simplify]: iteration 2 : 543 enodes (cost 645 ) 4.570 * * [simplify]: iteration 3 : 1224 enodes (cost 630 ) 4.852 * * [simplify]: iteration 4 : 4069 enodes (cost 622 ) 5.689 * * [simplify]: iteration done : 5000 enodes (cost 622 ) 5.689 * [simplify]: Simplified to: 1.0 (neg (cos x)) 1.0 (neg (cos x)) (* 2 (log (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) 0 (- 1.0 (cos x)) 1.0 (cos x) (- 1.0 (cos x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt (cos x)) (sqrt 1.0)) 1 (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))) (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)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (* 2 (log (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2)))))) (log (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (sqrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (sqrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) 0 (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (cbrt (- 1.0 (cos x))) 4)) (cbrt (- 1.0 (cos x))) 1 (cbrt (pow (+ (sqrt 1.0) (sqrt (cos x))) 2)) 1 (cbrt (- 1.0 (cos x))) (cbrt (pow (pow (- 1.0 (cos x)) 2) 2/3)) (cbrt (fabs (- 1.0 (cos x)))) 1 (cbrt (- 1.0 (cos x))) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) 1 (* 2/3 (log (- 1.0 (cos x)))) (exp (cbrt (pow (- 1.0 (cos x)) 2))) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (pow (- 1.0 (cos x)) 2) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (* (cbrt (* (pow x 4) 1/4)) (- (+ (* 7/6480 (pow x 4)) 1) (* 1/18 (pow x 2)))) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)) 5.690 * * * [progress]: adding candidates to table 5.881 * [progress]: [Phase 3 of 3] Extracting. 5.881 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 5.884 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 5.884 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # # # # #) 5.959 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 6.043 * * * [regime]: Found split indices: #