19.750 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.052 * * * [progress]: [2/2] Setting up program. 0.054 * [progress]: [Phase 2 of 3] Improving. 0.054 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.055 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.055 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.057 * * [simplify]: iteration 2 : 21 enodes (cost 8 ) 0.059 * * [simplify]: iteration 3 : 26 enodes (cost 8 ) 0.062 * * [simplify]: iteration 4 : 29 enodes (cost 8 ) 0.069 * * [simplify]: iteration done : 29 enodes (cost 8 ) 0.069 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.069 * * [progress]: iteration 1 / 4 0.069 * * * [progress]: picking best candidate 0.071 * * * * [pick]: Picked # 0.071 * * * [progress]: localizing error 0.077 * * * [progress]: generating rewritten candidates 0.077 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.086 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.089 * * * [progress]: generating series expansions 0.090 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.090 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.090 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (cos x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.093 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.093 * [taylor]: Taking taylor expansion of (cos x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.108 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.108 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) 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 x in x 0.108 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.109 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.120 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.121 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.121 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.121 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.121 * [taylor]: Taking taylor expansion of -1 in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.121 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.121 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.121 * [taylor]: Taking taylor expansion of -1 in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.131 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.131 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (cos x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (cos x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.141 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.144 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.144 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.144 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.144 * [taylor]: Taking taylor expansion of -1 in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.145 * [taylor]: Taking taylor expansion of -1 in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.151 * * * [progress]: simplifying candidates 0.152 * [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))) (- (- 1.0 (cos x))) (- (* 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)))) (- (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)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 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)) 0.154 * * [simplify]: iteration 0 : 88 enodes (cost 507 ) 0.170 * * [simplify]: iteration 1 : 218 enodes (cost 489 ) 0.218 * * [simplify]: iteration 2 : 636 enodes (cost 441 ) 0.527 * * [simplify]: iteration 3 : 2189 enodes (cost 441 ) 1.755 * * [simplify]: iteration done : 5000 enodes (cost 440 ) 1.756 * [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) (- (* 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)))) (* (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (* x x)) (* (* 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)) (- (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)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 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)) 1.756 * * * [progress]: adding candidates to table 1.847 * * [progress]: iteration 2 / 4 1.847 * * * [progress]: picking best candidate 1.862 * * * * [pick]: Picked # 1.862 * * * [progress]: localizing error 1.869 * * * [progress]: generating rewritten candidates 1.869 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.872 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.875 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.882 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.895 * * * [progress]: generating series expansions 1.895 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.895 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.895 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.895 * [taylor]: Taking taylor expansion of 1.0 in x 1.896 * [taylor]: Taking taylor expansion of (cos x) in x 1.896 * [taylor]: Taking taylor expansion of x in x 1.896 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.896 * [taylor]: Taking taylor expansion of 1.0 in x 1.896 * [taylor]: Taking taylor expansion of (cos x) in x 1.896 * [taylor]: Taking taylor expansion of x in x 1.908 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.908 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.908 * [taylor]: Taking taylor expansion of 1.0 in x 1.908 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.908 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.909 * [taylor]: Taking taylor expansion of 1.0 in x 1.909 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.909 * [taylor]: Taking taylor expansion of x in x 1.912 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.912 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.912 * [taylor]: Taking taylor expansion of 1.0 in x 1.912 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.912 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.912 * [taylor]: Taking taylor expansion of -1 in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.912 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.912 * [taylor]: Taking taylor expansion of 1.0 in x 1.912 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.912 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.912 * [taylor]: Taking taylor expansion of -1 in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.915 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.915 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.915 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.916 * [taylor]: Taking taylor expansion of 1.0 in x 1.916 * [taylor]: Taking taylor expansion of (cos x) in x 1.916 * [taylor]: Taking taylor expansion of x in x 1.916 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.916 * [taylor]: Taking taylor expansion of 1.0 in x 1.916 * [taylor]: Taking taylor expansion of (cos x) in x 1.916 * [taylor]: Taking taylor expansion of x in x 1.925 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.926 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.926 * [taylor]: Taking taylor expansion of 1.0 in x 1.926 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.926 * [taylor]: Taking taylor expansion of x in x 1.926 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.926 * [taylor]: Taking taylor expansion of 1.0 in x 1.926 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.926 * [taylor]: Taking taylor expansion of x in x 1.929 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.929 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.929 * [taylor]: Taking taylor expansion of 1.0 in x 1.929 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.929 * [taylor]: Taking taylor expansion of -1 in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.929 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.930 * [taylor]: Taking taylor expansion of 1.0 in x 1.930 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.930 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.930 * [taylor]: Taking taylor expansion of -1 in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.933 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.933 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 1.933 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.933 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.933 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.933 * [taylor]: Taking taylor expansion of 1.0 in x 1.933 * [taylor]: Taking taylor expansion of (cos x) in x 1.933 * [taylor]: Taking taylor expansion of x in x 1.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.937 * [taylor]: Taking taylor expansion of x in x 1.937 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.937 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.937 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.937 * [taylor]: Taking taylor expansion of 1.0 in x 1.937 * [taylor]: Taking taylor expansion of (cos x) in x 1.937 * [taylor]: Taking taylor expansion of x in x 1.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.941 * [taylor]: Taking taylor expansion of x in x 1.984 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 1.984 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.984 * [taylor]: Taking taylor expansion of x in x 1.984 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.984 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.984 * [taylor]: Taking taylor expansion of 1.0 in x 1.984 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.984 * [taylor]: Taking taylor expansion of x in x 1.985 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.985 * [taylor]: Taking taylor expansion of x in x 1.985 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.985 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.985 * [taylor]: Taking taylor expansion of 1.0 in x 1.986 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.986 * [taylor]: Taking taylor expansion of x in x 2.000 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 2.000 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 2.000 * [taylor]: Taking taylor expansion of -1 in x 2.000 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 2.000 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.000 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.000 * [taylor]: Taking taylor expansion of 1.0 in x 2.000 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.000 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.000 * [taylor]: Taking taylor expansion of -1 in x 2.000 * [taylor]: Taking taylor expansion of x in x 2.001 * [taylor]: Taking taylor expansion of x in x 2.001 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 2.001 * [taylor]: Taking taylor expansion of -1 in x 2.001 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 2.001 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.001 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.001 * [taylor]: Taking taylor expansion of 1.0 in x 2.001 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.001 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.001 * [taylor]: Taking taylor expansion of -1 in x 2.001 * [taylor]: Taking taylor expansion of x in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.019 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.019 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 2.019 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 2.019 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 2.019 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.019 * [taylor]: Taking taylor expansion of 1.0 in x 2.019 * [taylor]: Taking taylor expansion of (cos x) in x 2.019 * [taylor]: Taking taylor expansion of x in x 2.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.023 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 2.023 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 2.023 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.023 * [taylor]: Taking taylor expansion of 1.0 in x 2.023 * [taylor]: Taking taylor expansion of (cos x) in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.070 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 2.070 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.070 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 2.070 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.070 * [taylor]: Taking taylor expansion of 1.0 in x 2.070 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.071 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 2.071 * [taylor]: Taking taylor expansion of x in x 2.071 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 2.071 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.071 * [taylor]: Taking taylor expansion of 1.0 in x 2.071 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.071 * [taylor]: Taking taylor expansion of x in x 2.085 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 2.086 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 2.086 * [taylor]: Taking taylor expansion of -1 in x 2.086 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 2.086 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.086 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.086 * [taylor]: Taking taylor expansion of 1.0 in x 2.086 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.086 * [taylor]: Taking taylor expansion of -1 in x 2.086 * [taylor]: Taking taylor expansion of x in x 2.087 * [taylor]: Taking taylor expansion of x in x 2.087 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 2.087 * [taylor]: Taking taylor expansion of -1 in x 2.087 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 2.087 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.087 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.087 * [taylor]: Taking taylor expansion of 1.0 in x 2.087 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.087 * [taylor]: Taking taylor expansion of -1 in x 2.087 * [taylor]: Taking taylor expansion of x in x 2.088 * [taylor]: Taking taylor expansion of x in x 2.104 * * * [progress]: simplifying candidates 2.106 * [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)))) (- (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)) (- (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)))) (- (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)) (- (cos x)) (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (- (sqrt (- 1.0 (cos x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) 1) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (- (sqrt (- 1.0 (cos x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) 1) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 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)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 2.111 * * [simplify]: iteration 0 : 132 enodes (cost 1732 ) 2.136 * * [simplify]: iteration 1 : 242 enodes (cost 1618 ) 2.186 * * [simplify]: iteration 2 : 556 enodes (cost 1548 ) 2.478 * * [simplify]: iteration 3 : 1881 enodes (cost 1548 ) 3.380 * * [simplify]: iteration done : 5001 enodes (cost 1548 ) 3.381 * [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)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (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)) (- (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)) (- (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)) (- (cos x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (- (sqrt (- 1.0 (cos x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (fabs (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (fabs (cbrt (- 1.0 (cos x)))) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* (sqrt (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) x) (* x (sqrt (+ 1.0 (cos x)))) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (- (sqrt (- 1.0 (cos x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (fabs (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (fabs (cbrt (- 1.0 (cos x)))) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* (sqrt (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) x) (* x (sqrt (+ 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)) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 3.382 * * * [progress]: adding candidates to table 3.653 * * [progress]: iteration 3 / 4 3.653 * * * [progress]: picking best candidate 3.672 * * * * [pick]: Picked # 3.672 * * * [progress]: localizing error 3.682 * * * [progress]: generating rewritten candidates 3.682 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 3.685 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 3.687 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 3.690 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.693 * * * [progress]: generating series expansions 3.693 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 3.693 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 3.693 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.693 * [taylor]: Taking taylor expansion of 1.0 in x 3.693 * [taylor]: Taking taylor expansion of (cos x) in x 3.693 * [taylor]: Taking taylor expansion of x in x 3.693 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.693 * [taylor]: Taking taylor expansion of 1.0 in x 3.693 * [taylor]: Taking taylor expansion of (cos x) in x 3.693 * [taylor]: Taking taylor expansion of x in x 3.703 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 3.703 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.703 * [taylor]: Taking taylor expansion of 1.0 in x 3.704 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.704 * [taylor]: Taking taylor expansion of x in x 3.704 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.704 * [taylor]: Taking taylor expansion of 1.0 in x 3.704 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.704 * [taylor]: Taking taylor expansion of x in x 3.707 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 3.707 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.707 * [taylor]: Taking taylor expansion of 1.0 in x 3.707 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.707 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.707 * [taylor]: Taking taylor expansion of -1 in x 3.707 * [taylor]: Taking taylor expansion of x in x 3.707 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.707 * [taylor]: Taking taylor expansion of 1.0 in x 3.707 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.707 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.708 * [taylor]: Taking taylor expansion of -1 in x 3.708 * [taylor]: Taking taylor expansion of x in x 3.711 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 3.711 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 3.711 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.711 * [taylor]: Taking taylor expansion of 1.0 in x 3.711 * [taylor]: Taking taylor expansion of (cos x) in x 3.711 * [taylor]: Taking taylor expansion of x in x 3.711 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.711 * [taylor]: Taking taylor expansion of 1.0 in x 3.711 * [taylor]: Taking taylor expansion of (cos x) in x 3.711 * [taylor]: Taking taylor expansion of x in x 3.723 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 3.723 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.723 * [taylor]: Taking taylor expansion of 1.0 in x 3.723 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.723 * [taylor]: Taking taylor expansion of x in x 3.724 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.724 * [taylor]: Taking taylor expansion of 1.0 in x 3.724 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.724 * [taylor]: Taking taylor expansion of x in x 3.727 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 3.727 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.727 * [taylor]: Taking taylor expansion of 1.0 in x 3.727 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.727 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.727 * [taylor]: Taking taylor expansion of -1 in x 3.727 * [taylor]: Taking taylor expansion of x in x 3.727 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.727 * [taylor]: Taking taylor expansion of 1.0 in x 3.727 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.727 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.727 * [taylor]: Taking taylor expansion of -1 in x 3.727 * [taylor]: Taking taylor expansion of x in x 3.731 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 3.731 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 3.731 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.731 * [taylor]: Taking taylor expansion of 1.0 in x 3.731 * [taylor]: Taking taylor expansion of (cos x) in x 3.731 * [taylor]: Taking taylor expansion of x in x 3.731 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.731 * [taylor]: Taking taylor expansion of 1.0 in x 3.731 * [taylor]: Taking taylor expansion of (cos x) in x 3.731 * [taylor]: Taking taylor expansion of x in x 3.740 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 3.741 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.741 * [taylor]: Taking taylor expansion of 1.0 in x 3.741 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.741 * [taylor]: Taking taylor expansion of x in x 3.741 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.741 * [taylor]: Taking taylor expansion of 1.0 in x 3.741 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.741 * [taylor]: Taking taylor expansion of x in x 3.744 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 3.744 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.744 * [taylor]: Taking taylor expansion of 1.0 in x 3.744 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.744 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.744 * [taylor]: Taking taylor expansion of -1 in x 3.744 * [taylor]: Taking taylor expansion of x in x 3.745 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.745 * [taylor]: Taking taylor expansion of 1.0 in x 3.745 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.745 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.745 * [taylor]: Taking taylor expansion of -1 in x 3.745 * [taylor]: Taking taylor expansion of x in x 3.748 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.748 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in (x) around 0 3.748 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in x 3.748 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos x))))) in x 3.748 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos x)))) in x 3.748 * [taylor]: Taking taylor expansion of 1/3 in x 3.748 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 3.748 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.748 * [taylor]: Taking taylor expansion of 1.0 in x 3.748 * [taylor]: Taking taylor expansion of (cos x) in x 3.748 * [taylor]: Taking taylor expansion of x in x 3.752 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in x 3.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos x))))) in x 3.752 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos x)))) in x 3.752 * [taylor]: Taking taylor expansion of 1/3 in x 3.752 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 3.752 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.752 * [taylor]: Taking taylor expansion of 1.0 in x 3.752 * [taylor]: Taking taylor expansion of (cos x) in x 3.752 * [taylor]: Taking taylor expansion of x in x 3.788 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in (x) around 0 3.788 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in x 3.788 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ 1 x)))))) in x 3.788 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ 1 x))))) in x 3.788 * [taylor]: Taking taylor expansion of 1/3 in x 3.788 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 3.788 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.788 * [taylor]: Taking taylor expansion of 1.0 in x 3.788 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.788 * [taylor]: Taking taylor expansion of x in x 3.789 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in x 3.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ 1 x)))))) in x 3.789 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ 1 x))))) in x 3.789 * [taylor]: Taking taylor expansion of 1/3 in x 3.789 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 3.789 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.789 * [taylor]: Taking taylor expansion of 1.0 in x 3.789 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.789 * [taylor]: Taking taylor expansion of x in x 3.827 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in (x) around 0 3.827 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in x 3.827 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ -1 x)))))) in x 3.827 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ -1 x))))) in x 3.827 * [taylor]: Taking taylor expansion of 1/3 in x 3.827 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 3.827 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.827 * [taylor]: Taking taylor expansion of 1.0 in x 3.827 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.827 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.827 * [taylor]: Taking taylor expansion of -1 in x 3.827 * [taylor]: Taking taylor expansion of x in x 3.828 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in x 3.828 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ -1 x)))))) in x 3.828 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ -1 x))))) in x 3.828 * [taylor]: Taking taylor expansion of 1/3 in x 3.828 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 3.828 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.828 * [taylor]: Taking taylor expansion of 1.0 in x 3.828 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.828 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.828 * [taylor]: Taking taylor expansion of -1 in x 3.828 * [taylor]: Taking taylor expansion of x in x 3.863 * * * [progress]: simplifying candidates 3.864 * [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)))) (- (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)) (- (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)))) (- (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)) (- (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)))) (- (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)) (- (cos x)) (log (cbrt (- 1.0 (cos x)))) (exp (cbrt (- 1.0 (cos x)))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))) (cbrt 1) (cbrt (- 1.0 (cos x))) (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt 1) (cbrt (- 1.0 (cos x))) (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)))) (cbrt (+ 1.0 (cos x))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (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)))) (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (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 (+ (* 2 (log x)) (log 1/2)))) (* 1/6480 (* (exp (* 1/3 (+ (* 2 (log x)) (log 1/2)))) (pow x 4)))) (* 1/36 (* (exp (* 1/3 (+ (* 2 (log x)) (log 1/2)))) (pow x 2)))) (pow (- 1.0 (cos x)) 1/3) (pow (- 1.0 (cos x)) 1/3) 3.866 * * [simplify]: iteration 0 : 76 enodes (cost 627 ) 3.882 * * [simplify]: iteration 1 : 152 enodes (cost 608 ) 3.908 * * [simplify]: iteration 2 : 347 enodes (cost 554 ) 4.001 * * [simplify]: iteration 3 : 971 enodes (cost 534 ) 5.106 * * [simplify]: iteration 4 : 4614 enodes (cost 527 ) 6.129 * * [simplify]: iteration done : 5000 enodes (cost 527 ) 6.130 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 2/3) (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)) (- (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)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 2/3) (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)) (- (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)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 2/3) (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)) (- (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)) (- (cos x)) (log (cbrt (- 1.0 (cos x)))) (exp (cbrt (- 1.0 (cos x)))) (cbrt (pow (- 1.0 (cos x)) 2/3)) (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))) 1 (cbrt (- 1.0 (cos x))) (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (- (sqrt 1.0) (sqrt (cos x)))) 1 (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (cbrt (- (* 1.0 1.0) (* (cos x) (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)))) (- 1.0 (cos x)) (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (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 (* 1/2 (pow x 2))) (+ (* -1/36 (pow x 2)) (+ (* (pow x 4) 1/6480) 1))) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 6.130 * * * [progress]: adding candidates to table 6.287 * * [progress]: iteration 4 / 4 6.287 * * * [progress]: picking best candidate 6.304 * * * * [pick]: Picked # 6.304 * * * [progress]: localizing error 6.321 * * * [progress]: generating rewritten candidates 6.321 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 6.329 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 6.331 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1 1) 6.334 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 6.338 * * * [progress]: generating series expansions 6.338 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 6.338 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.338 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.338 * [taylor]: Taking taylor expansion of 1.0 in x 6.338 * [taylor]: Taking taylor expansion of (cos x) in x 6.338 * [taylor]: Taking taylor expansion of x in x 6.338 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.338 * [taylor]: Taking taylor expansion of 1.0 in x 6.338 * [taylor]: Taking taylor expansion of (cos x) in x 6.338 * [taylor]: Taking taylor expansion of x in x 6.348 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.348 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.348 * [taylor]: Taking taylor expansion of 1.0 in x 6.348 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.349 * [taylor]: Taking taylor expansion of x in x 6.349 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.349 * [taylor]: Taking taylor expansion of 1.0 in x 6.349 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.349 * [taylor]: Taking taylor expansion of x in x 6.352 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.352 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.352 * [taylor]: Taking taylor expansion of 1.0 in x 6.352 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.352 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.352 * [taylor]: Taking taylor expansion of -1 in x 6.352 * [taylor]: Taking taylor expansion of x in x 6.352 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.353 * [taylor]: Taking taylor expansion of 1.0 in x 6.353 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.353 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.353 * [taylor]: Taking taylor expansion of -1 in x 6.353 * [taylor]: Taking taylor expansion of x in x 6.356 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 6.356 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.356 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.356 * [taylor]: Taking taylor expansion of 1.0 in x 6.356 * [taylor]: Taking taylor expansion of (cos x) in x 6.356 * [taylor]: Taking taylor expansion of x in x 6.356 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.356 * [taylor]: Taking taylor expansion of 1.0 in x 6.356 * [taylor]: Taking taylor expansion of (cos x) in x 6.356 * [taylor]: Taking taylor expansion of x in x 6.366 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.366 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.366 * [taylor]: Taking taylor expansion of 1.0 in x 6.366 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.366 * [taylor]: Taking taylor expansion of x in x 6.366 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.366 * [taylor]: Taking taylor expansion of 1.0 in x 6.366 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.366 * [taylor]: Taking taylor expansion of x in x 6.369 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.369 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.369 * [taylor]: Taking taylor expansion of 1.0 in x 6.369 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.369 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.369 * [taylor]: Taking taylor expansion of -1 in x 6.369 * [taylor]: Taking taylor expansion of x in x 6.370 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.370 * [taylor]: Taking taylor expansion of 1.0 in x 6.370 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.370 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.370 * [taylor]: Taking taylor expansion of -1 in x 6.370 * [taylor]: Taking taylor expansion of x in x 6.373 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1 1) 6.373 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.373 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.373 * [taylor]: Taking taylor expansion of 1.0 in x 6.373 * [taylor]: Taking taylor expansion of (cos x) in x 6.373 * [taylor]: Taking taylor expansion of x in x 6.373 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.373 * [taylor]: Taking taylor expansion of 1.0 in x 6.373 * [taylor]: Taking taylor expansion of (cos x) in x 6.373 * [taylor]: Taking taylor expansion of x in x 6.383 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.383 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.383 * [taylor]: Taking taylor expansion of 1.0 in x 6.383 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.383 * [taylor]: Taking taylor expansion of x in x 6.384 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.384 * [taylor]: Taking taylor expansion of 1.0 in x 6.384 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.384 * [taylor]: Taking taylor expansion of x in x 6.387 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.387 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.387 * [taylor]: Taking taylor expansion of 1.0 in x 6.387 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.387 * [taylor]: Taking taylor expansion of -1 in x 6.387 * [taylor]: Taking taylor expansion of x in x 6.387 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.387 * [taylor]: Taking taylor expansion of 1.0 in x 6.387 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.387 * [taylor]: Taking taylor expansion of -1 in x 6.387 * [taylor]: Taking taylor expansion of x in x 6.390 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 6.391 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.391 * [taylor]: Taking taylor expansion of 1.0 in x 6.391 * [taylor]: Taking taylor expansion of (cos x) in x 6.391 * [taylor]: Taking taylor expansion of x in x 6.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.391 * [taylor]: Taking taylor expansion of 1.0 in x 6.391 * [taylor]: Taking taylor expansion of (cos x) in x 6.391 * [taylor]: Taking taylor expansion of x in x 6.403 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.403 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.403 * [taylor]: Taking taylor expansion of 1.0 in x 6.403 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.403 * [taylor]: Taking taylor expansion of x in x 6.404 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.404 * [taylor]: Taking taylor expansion of 1.0 in x 6.404 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.404 * [taylor]: Taking taylor expansion of x in x 6.407 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.407 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.407 * [taylor]: Taking taylor expansion of 1.0 in x 6.407 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.407 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.407 * [taylor]: Taking taylor expansion of -1 in x 6.407 * [taylor]: Taking taylor expansion of x in x 6.407 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.407 * [taylor]: Taking taylor expansion of 1.0 in x 6.407 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.407 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.408 * [taylor]: Taking taylor expansion of -1 in x 6.408 * [taylor]: Taking taylor expansion of x in x 6.411 * * * [progress]: simplifying candidates 6.412 * [simplify]: Simplifying using # : (log (exp 1.0)) (log (exp (- (cos x)))) (log (exp 1.0)) (log (exp (- (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)))) (- (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)) (- (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)))) (- (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)) (- (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)))) (- (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)) (- (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)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 6.414 * * [simplify]: iteration 0 : 72 enodes (cost 615 ) 6.427 * * [simplify]: iteration 1 : 128 enodes (cost 556 ) 6.445 * * [simplify]: iteration 2 : 245 enodes (cost 519 ) 6.493 * * [simplify]: iteration 3 : 518 enodes (cost 519 ) 6.812 * * [simplify]: iteration 4 : 1770 enodes (cost 519 ) 7.848 * * [simplify]: iteration done : 5002 enodes (cost 519 ) 7.848 * [simplify]: Simplified to: 1.0 (- (cos x)) 1.0 (- (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)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (- (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)) (- (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)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (- (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)) (- (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)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (- (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)) (- (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)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 7.849 * * * [progress]: adding candidates to table 8.040 * [progress]: [Phase 3 of 3] Extracting. 8.040 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 8.043 * * * [regime-changes]: Trying 1 branch expressions: (x) 8.043 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 8.103 * * * [regime]: Found split indices: #